0.002 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.197 * * * [progress]: [2/2] Setting up program. 0.202 * [progress]: [Phase 2 of 3] Improving. 0.202 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.202 * [simplify]: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 0.202 * * [simplify]: iters left: 6 (17 enodes) 0.207 * * [simplify]: iters left: 5 (70 enodes) 0.225 * * [simplify]: iters left: 4 (126 enodes) 0.262 * * [simplify]: iters left: 3 (281 enodes) 0.398 * * [simplify]: Extracting #0: cost 1 inf + 0 0.398 * * [simplify]: Extracting #1: cost 16 inf + 0 0.398 * * [simplify]: Extracting #2: cost 28 inf + 2 0.399 * * [simplify]: Extracting #3: cost 32 inf + 86 0.403 * * [simplify]: Extracting #4: cost 96 inf + 131 0.405 * * [simplify]: Extracting #5: cost 194 inf + 1852 0.414 * * [simplify]: Extracting #6: cost 83 inf + 25392 0.434 * * [simplify]: Extracting #7: cost 12 inf + 46431 0.456 * * [simplify]: Extracting #8: cost 1 inf + 50227 0.478 * * [simplify]: Extracting #9: cost 0 inf + 50662 0.497 * [simplify]: Simplified to (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 0.497 * [simplify]: Simplified (2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 0.506 * * [progress]: iteration 1 / 4 0.506 * * * [progress]: picking best candidate 0.509 * * * * [pick]: Picked # 0.509 * * * [progress]: localizing error 0.543 * * * [progress]: generating rewritten candidates 0.543 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.863 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.022 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 1.115 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.126 * * * [progress]: generating series expansions 1.126 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.126 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) 1.126 * [approximate]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in (U K J) around 0 1.126 * [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 1.126 * [taylor]: Taking taylor expansion of -2 in J 1.126 * [backup-simplify]: Simplify -2 into -2 1.126 * [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 1.126 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.126 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.126 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.126 * [taylor]: Taking taylor expansion of 1/2 in J 1.126 * [backup-simplify]: Simplify 1/2 into 1/2 1.126 * [taylor]: Taking taylor expansion of K in J 1.126 * [backup-simplify]: Simplify K into K 1.126 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.126 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.126 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.126 * [taylor]: Taking taylor expansion of J in J 1.126 * [backup-simplify]: Simplify 0 into 0 1.126 * [backup-simplify]: Simplify 1 into 1 1.127 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 1.127 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 1.127 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 1.127 * [taylor]: Taking taylor expansion of 1/4 in J 1.127 * [backup-simplify]: Simplify 1/4 into 1/4 1.127 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 1.127 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.127 * [taylor]: Taking taylor expansion of U in J 1.127 * [backup-simplify]: Simplify U into U 1.127 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 1.127 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 1.127 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.127 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.127 * [taylor]: Taking taylor expansion of 1/2 in J 1.127 * [backup-simplify]: Simplify 1/2 into 1/2 1.127 * [taylor]: Taking taylor expansion of K in J 1.127 * [backup-simplify]: Simplify K into K 1.127 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.127 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.127 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.127 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.127 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.128 * [backup-simplify]: Simplify (- 0) into 0 1.128 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.128 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.128 * [taylor]: Taking taylor expansion of J in J 1.128 * [backup-simplify]: Simplify 0 into 0 1.128 * [backup-simplify]: Simplify 1 into 1 1.128 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.128 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.128 * [backup-simplify]: Simplify (* 1 1) into 1 1.128 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 1.128 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 1.128 * [taylor]: Taking taylor expansion of 1 in J 1.128 * [backup-simplify]: Simplify 1 into 1 1.128 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 1.129 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 1.129 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 1.129 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.129 * [backup-simplify]: Simplify (+ 0) into 0 1.130 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.130 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.131 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.131 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.131 * [backup-simplify]: Simplify (- 0) into 0 1.131 * [backup-simplify]: Simplify (+ 0 0) into 0 1.131 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.132 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 1.132 * [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 1.132 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 1.133 * [backup-simplify]: Simplify (+ 0 0) into 0 1.133 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 1.133 * [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 1.133 * [taylor]: Taking taylor expansion of -2 in K 1.133 * [backup-simplify]: Simplify -2 into -2 1.133 * [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 1.133 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.133 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.133 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.133 * [taylor]: Taking taylor expansion of 1/2 in K 1.133 * [backup-simplify]: Simplify 1/2 into 1/2 1.133 * [taylor]: Taking taylor expansion of K in K 1.133 * [backup-simplify]: Simplify 0 into 0 1.133 * [backup-simplify]: Simplify 1 into 1 1.133 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.134 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.134 * [taylor]: Taking taylor expansion of J in K 1.134 * [backup-simplify]: Simplify J into J 1.134 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 1.134 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 1.134 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 1.134 * [taylor]: Taking taylor expansion of 1/4 in K 1.134 * [backup-simplify]: Simplify 1/4 into 1/4 1.134 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.134 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.134 * [taylor]: Taking taylor expansion of U in K 1.134 * [backup-simplify]: Simplify U into U 1.134 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.134 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.134 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.134 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.134 * [taylor]: Taking taylor expansion of 1/2 in K 1.134 * [backup-simplify]: Simplify 1/2 into 1/2 1.134 * [taylor]: Taking taylor expansion of K in K 1.134 * [backup-simplify]: Simplify 0 into 0 1.134 * [backup-simplify]: Simplify 1 into 1 1.134 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.135 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.135 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.135 * [taylor]: Taking taylor expansion of J in K 1.135 * [backup-simplify]: Simplify J into J 1.135 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.135 * [backup-simplify]: Simplify (* 1 1) into 1 1.135 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.135 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.135 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 1.135 * [taylor]: Taking taylor expansion of 1 in K 1.135 * [backup-simplify]: Simplify 1 into 1 1.135 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 1.136 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1.136 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 1.136 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.136 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.136 * [backup-simplify]: Simplify (+ 0) into 0 1.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 1.137 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 1.137 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 1.138 * [backup-simplify]: Simplify (+ 0 0) into 0 1.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 1.138 * [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 1.138 * [taylor]: Taking taylor expansion of -2 in U 1.138 * [backup-simplify]: Simplify -2 into -2 1.138 * [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 1.138 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.138 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.138 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.138 * [taylor]: Taking taylor expansion of 1/2 in U 1.138 * [backup-simplify]: Simplify 1/2 into 1/2 1.138 * [taylor]: Taking taylor expansion of K in U 1.138 * [backup-simplify]: Simplify K into K 1.138 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.139 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.139 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.139 * [taylor]: Taking taylor expansion of J in U 1.139 * [backup-simplify]: Simplify J into J 1.139 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.139 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.139 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.139 * [taylor]: Taking taylor expansion of 1/4 in U 1.139 * [backup-simplify]: Simplify 1/4 into 1/4 1.139 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.139 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.139 * [taylor]: Taking taylor expansion of U in U 1.139 * [backup-simplify]: Simplify 0 into 0 1.139 * [backup-simplify]: Simplify 1 into 1 1.139 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.139 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.139 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.139 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.139 * [taylor]: Taking taylor expansion of 1/2 in U 1.139 * [backup-simplify]: Simplify 1/2 into 1/2 1.139 * [taylor]: Taking taylor expansion of K in U 1.139 * [backup-simplify]: Simplify K into K 1.139 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.139 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.139 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.140 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.140 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.140 * [backup-simplify]: Simplify (- 0) into 0 1.140 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.140 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.140 * [taylor]: Taking taylor expansion of J in U 1.140 * [backup-simplify]: Simplify J into J 1.141 * [backup-simplify]: Simplify (* 1 1) into 1 1.141 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.141 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.141 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.141 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.141 * [taylor]: Taking taylor expansion of 1 in U 1.141 * [backup-simplify]: Simplify 1 into 1 1.142 * [backup-simplify]: Simplify (+ 0 1) into 1 1.142 * [backup-simplify]: Simplify (sqrt 1) into 1 1.143 * [backup-simplify]: Simplify (+ 0 0) into 0 1.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.143 * [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 1.143 * [taylor]: Taking taylor expansion of -2 in U 1.143 * [backup-simplify]: Simplify -2 into -2 1.143 * [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 1.144 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.144 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.144 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.144 * [taylor]: Taking taylor expansion of 1/2 in U 1.144 * [backup-simplify]: Simplify 1/2 into 1/2 1.144 * [taylor]: Taking taylor expansion of K in U 1.144 * [backup-simplify]: Simplify K into K 1.144 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.144 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.144 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.144 * [taylor]: Taking taylor expansion of J in U 1.144 * [backup-simplify]: Simplify J into J 1.144 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.144 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.144 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.144 * [taylor]: Taking taylor expansion of 1/4 in U 1.144 * [backup-simplify]: Simplify 1/4 into 1/4 1.144 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.144 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.144 * [taylor]: Taking taylor expansion of U in U 1.144 * [backup-simplify]: Simplify 0 into 0 1.144 * [backup-simplify]: Simplify 1 into 1 1.144 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.144 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.144 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.144 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.144 * [taylor]: Taking taylor expansion of 1/2 in U 1.144 * [backup-simplify]: Simplify 1/2 into 1/2 1.144 * [taylor]: Taking taylor expansion of K in U 1.144 * [backup-simplify]: Simplify K into K 1.144 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.145 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.145 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.145 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.145 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.145 * [backup-simplify]: Simplify (- 0) into 0 1.145 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.145 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.145 * [taylor]: Taking taylor expansion of J in U 1.145 * [backup-simplify]: Simplify J into J 1.146 * [backup-simplify]: Simplify (* 1 1) into 1 1.146 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.146 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.146 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.146 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.146 * [taylor]: Taking taylor expansion of 1 in U 1.146 * [backup-simplify]: Simplify 1 into 1 1.147 * [backup-simplify]: Simplify (+ 0 1) into 1 1.147 * [backup-simplify]: Simplify (sqrt 1) into 1 1.148 * [backup-simplify]: Simplify (+ 0 0) into 0 1.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.149 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.149 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.149 * [backup-simplify]: Simplify (- 0) into 0 1.149 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.149 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 1.150 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J) 1.150 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 1.150 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 1.150 * [taylor]: Taking taylor expansion of -2 in K 1.150 * [backup-simplify]: Simplify -2 into -2 1.150 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.150 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.150 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.150 * [taylor]: Taking taylor expansion of 1/2 in K 1.150 * [backup-simplify]: Simplify 1/2 into 1/2 1.150 * [taylor]: Taking taylor expansion of K in K 1.150 * [backup-simplify]: Simplify 0 into 0 1.150 * [backup-simplify]: Simplify 1 into 1 1.150 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.151 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.151 * [taylor]: Taking taylor expansion of J in K 1.151 * [backup-simplify]: Simplify J into J 1.151 * [backup-simplify]: Simplify (* 1 J) into J 1.151 * [backup-simplify]: Simplify (* -2 J) into (* -2 J) 1.151 * [taylor]: Taking taylor expansion of (* -2 J) in J 1.151 * [taylor]: Taking taylor expansion of -2 in J 1.151 * [backup-simplify]: Simplify -2 into -2 1.151 * [taylor]: Taking taylor expansion of J in J 1.151 * [backup-simplify]: Simplify 0 into 0 1.151 * [backup-simplify]: Simplify 1 into 1 1.152 * [backup-simplify]: Simplify (+ 0) into 0 1.152 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.153 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.154 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.154 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.154 * [backup-simplify]: Simplify (- 0) into 0 1.155 * [backup-simplify]: Simplify (+ 0 0) into 0 1.155 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 1.155 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0 1.156 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 1.156 * [taylor]: Taking taylor expansion of 0 in K 1.156 * [backup-simplify]: Simplify 0 into 0 1.156 * [taylor]: Taking taylor expansion of 0 in J 1.156 * [backup-simplify]: Simplify 0 into 0 1.156 * [backup-simplify]: Simplify (+ 0) into 0 1.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 1.157 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0 1.157 * [taylor]: Taking taylor expansion of 0 in J 1.157 * [backup-simplify]: Simplify 0 into 0 1.158 * [backup-simplify]: Simplify (* -2 0) into 0 1.158 * [backup-simplify]: Simplify 0 into 0 1.158 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.158 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1.160 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.161 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.162 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.163 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.163 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.164 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.164 * [backup-simplify]: Simplify (- 0) into 0 1.165 * [backup-simplify]: Simplify (+ 0 0) into 0 1.165 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 1.166 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) 1.167 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J)))) into (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) 1.167 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in K 1.167 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in K 1.167 * [taylor]: Taking taylor expansion of 1/4 in K 1.167 * [backup-simplify]: Simplify 1/4 into 1/4 1.167 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in K 1.167 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.167 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.167 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.167 * [taylor]: Taking taylor expansion of 1/2 in K 1.167 * [backup-simplify]: Simplify 1/2 into 1/2 1.167 * [taylor]: Taking taylor expansion of K in K 1.167 * [backup-simplify]: Simplify 0 into 0 1.167 * [backup-simplify]: Simplify 1 into 1 1.167 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.168 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.168 * [taylor]: Taking taylor expansion of J in K 1.168 * [backup-simplify]: Simplify J into J 1.168 * [backup-simplify]: Simplify (* 1 J) into J 1.168 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J) 1.168 * [backup-simplify]: Simplify (* 1/4 (/ 1 J)) into (/ 1/4 J) 1.168 * [backup-simplify]: Simplify (- (/ 1/4 J)) into (- (* 1/4 (/ 1 J))) 1.168 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 J))) in J 1.168 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 J)) in J 1.168 * [taylor]: Taking taylor expansion of 1/4 in J 1.169 * [backup-simplify]: Simplify 1/4 into 1/4 1.169 * [taylor]: Taking taylor expansion of (/ 1 J) in J 1.169 * [taylor]: Taking taylor expansion of J in J 1.169 * [backup-simplify]: Simplify 0 into 0 1.169 * [backup-simplify]: Simplify 1 into 1 1.169 * [backup-simplify]: Simplify (/ 1 1) into 1 1.169 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 1.170 * [backup-simplify]: Simplify (- 1/4) into -1/4 1.170 * [backup-simplify]: Simplify -1/4 into -1/4 1.170 * [taylor]: Taking taylor expansion of 0 in J 1.170 * [backup-simplify]: Simplify 0 into 0 1.171 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 1.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 1.172 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J) 1.172 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 1.172 * [taylor]: Taking taylor expansion of 1/4 in J 1.172 * [backup-simplify]: Simplify 1/4 into 1/4 1.172 * [taylor]: Taking taylor expansion of J in J 1.172 * [backup-simplify]: Simplify 0 into 0 1.172 * [backup-simplify]: Simplify 1 into 1 1.172 * [backup-simplify]: Simplify 0 into 0 1.172 * [backup-simplify]: Simplify 0 into 0 1.173 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2 1.173 * [backup-simplify]: Simplify -2 into -2 1.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.174 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.174 * [backup-simplify]: Simplify (+ 0) into 0 1.175 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.175 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.176 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.177 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.177 * [backup-simplify]: Simplify (- 0) into 0 1.177 * [backup-simplify]: Simplify (+ 0 0) into 0 1.177 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.178 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 1.178 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 1.179 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 1.179 * [backup-simplify]: Simplify (+ 0 0) into 0 1.180 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 1.181 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.182 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.183 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 1.184 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.185 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.185 * [backup-simplify]: Simplify (- 0) into 0 1.186 * [backup-simplify]: Simplify (+ 0 0) into 0 1.187 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.187 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (+ (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1)))) into 0 1.189 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 1.189 * [taylor]: Taking taylor expansion of 0 in K 1.189 * [backup-simplify]: Simplify 0 into 0 1.189 * [taylor]: Taking taylor expansion of 0 in J 1.189 * [backup-simplify]: Simplify 0 into 0 1.189 * [backup-simplify]: Simplify (+ 0) into 0 1.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 1.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 1.190 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 J))) into 0 1.191 * [backup-simplify]: Simplify (- 0) into 0 1.191 * [taylor]: Taking taylor expansion of 0 in J 1.191 * [backup-simplify]: Simplify 0 into 0 1.191 * [taylor]: Taking taylor expansion of 0 in J 1.191 * [backup-simplify]: Simplify 0 into 0 1.192 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.193 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 1.195 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 1.195 * [taylor]: Taking taylor expansion of 0 in J 1.196 * [backup-simplify]: Simplify 0 into 0 1.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.197 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 1.197 * [backup-simplify]: Simplify (- 0) into 0 1.197 * [backup-simplify]: Simplify 0 into 0 1.198 * [backup-simplify]: Simplify 0 into 0 1.198 * [backup-simplify]: Simplify (* 1/4 0) into 0 1.198 * [backup-simplify]: Simplify 0 into 0 1.198 * [backup-simplify]: Simplify 0 into 0 1.198 * [backup-simplify]: Simplify 0 into 0 1.199 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 1.199 * [backup-simplify]: Simplify 0 into 0 1.200 * [backup-simplify]: Simplify (+ (* -2 (* J (* 1 1))) (* -1/4 (* (/ 1 J) (* 1 (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 1.201 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) -2) (* (cos (/ (/ 1 K) 2)) (/ 1 J))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 1.201 * [approximate]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in (U K J) around 0 1.201 * [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 1.201 * [taylor]: Taking taylor expansion of -2 in J 1.201 * [backup-simplify]: Simplify -2 into -2 1.201 * [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 1.201 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 1.201 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 1.201 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 1.201 * [taylor]: Taking taylor expansion of 1/4 in J 1.201 * [backup-simplify]: Simplify 1/4 into 1/4 1.201 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 1.201 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.201 * [taylor]: Taking taylor expansion of J in J 1.201 * [backup-simplify]: Simplify 0 into 0 1.201 * [backup-simplify]: Simplify 1 into 1 1.201 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 1.201 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.201 * [taylor]: Taking taylor expansion of U in J 1.201 * [backup-simplify]: Simplify U into U 1.201 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.201 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.201 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.201 * [taylor]: Taking taylor expansion of 1/2 in J 1.201 * [backup-simplify]: Simplify 1/2 into 1/2 1.201 * [taylor]: Taking taylor expansion of K in J 1.201 * [backup-simplify]: Simplify K into K 1.202 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.202 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.202 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.202 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.202 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.202 * [backup-simplify]: Simplify (- 0) into 0 1.202 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.203 * [backup-simplify]: Simplify (* 1 1) into 1 1.203 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.203 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.203 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.203 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 1.203 * [taylor]: Taking taylor expansion of 1 in J 1.203 * [backup-simplify]: Simplify 1 into 1 1.203 * [backup-simplify]: Simplify (+ 0 1) into 1 1.203 * [backup-simplify]: Simplify (sqrt 1) into 1 1.204 * [backup-simplify]: Simplify (+ 0 0) into 0 1.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.204 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.204 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.204 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.204 * [taylor]: Taking taylor expansion of 1/2 in J 1.204 * [backup-simplify]: Simplify 1/2 into 1/2 1.204 * [taylor]: Taking taylor expansion of K in J 1.204 * [backup-simplify]: Simplify K into K 1.204 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.204 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.204 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.204 * [taylor]: Taking taylor expansion of J in J 1.204 * [backup-simplify]: Simplify 0 into 0 1.204 * [backup-simplify]: Simplify 1 into 1 1.204 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.205 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.205 * [backup-simplify]: Simplify (- 0) into 0 1.205 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.205 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.205 * [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 1.205 * [taylor]: Taking taylor expansion of -2 in K 1.205 * [backup-simplify]: Simplify -2 into -2 1.205 * [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 1.205 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 1.205 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 1.205 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 1.205 * [taylor]: Taking taylor expansion of 1/4 in K 1.205 * [backup-simplify]: Simplify 1/4 into 1/4 1.205 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 1.205 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.205 * [taylor]: Taking taylor expansion of J in K 1.205 * [backup-simplify]: Simplify J into J 1.205 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 1.205 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.205 * [taylor]: Taking taylor expansion of U in K 1.205 * [backup-simplify]: Simplify U into U 1.205 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 1.205 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.205 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.205 * [taylor]: Taking taylor expansion of 1/2 in K 1.205 * [backup-simplify]: Simplify 1/2 into 1/2 1.205 * [taylor]: Taking taylor expansion of K in K 1.205 * [backup-simplify]: Simplify 0 into 0 1.205 * [backup-simplify]: Simplify 1 into 1 1.206 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.206 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.206 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.206 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.206 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.206 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.206 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 1.206 * [taylor]: Taking taylor expansion of 1 in K 1.206 * [backup-simplify]: Simplify 1 into 1 1.206 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1.206 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1.207 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 1.207 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.207 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.207 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.207 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.207 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.208 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.208 * [backup-simplify]: Simplify (+ 0 0) into 0 1.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 1.208 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.208 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.208 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.208 * [taylor]: Taking taylor expansion of 1/2 in K 1.208 * [backup-simplify]: Simplify 1/2 into 1/2 1.208 * [taylor]: Taking taylor expansion of K in K 1.208 * [backup-simplify]: Simplify 0 into 0 1.208 * [backup-simplify]: Simplify 1 into 1 1.209 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.209 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.209 * [taylor]: Taking taylor expansion of J in K 1.209 * [backup-simplify]: Simplify J into J 1.209 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.209 * [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 1.209 * [taylor]: Taking taylor expansion of -2 in U 1.209 * [backup-simplify]: Simplify -2 into -2 1.209 * [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 1.209 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.209 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.209 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.209 * [taylor]: Taking taylor expansion of 1/4 in U 1.209 * [backup-simplify]: Simplify 1/4 into 1/4 1.209 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.209 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.209 * [taylor]: Taking taylor expansion of J in U 1.209 * [backup-simplify]: Simplify J into J 1.209 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.209 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.209 * [taylor]: Taking taylor expansion of U in U 1.209 * [backup-simplify]: Simplify 0 into 0 1.209 * [backup-simplify]: Simplify 1 into 1 1.209 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.209 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.209 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.209 * [taylor]: Taking taylor expansion of 1/2 in U 1.209 * [backup-simplify]: Simplify 1/2 into 1/2 1.209 * [taylor]: Taking taylor expansion of K in U 1.209 * [backup-simplify]: Simplify K into K 1.209 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.209 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.209 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.209 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.209 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.210 * [backup-simplify]: Simplify (- 0) into 0 1.210 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.210 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.210 * [backup-simplify]: Simplify (* 1 1) into 1 1.210 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.210 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.210 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.210 * [taylor]: Taking taylor expansion of 1 in U 1.210 * [backup-simplify]: Simplify 1 into 1 1.211 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.211 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.211 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.211 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.211 * [backup-simplify]: Simplify (+ 0) into 0 1.211 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.212 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.212 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.212 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.213 * [backup-simplify]: Simplify (- 0) into 0 1.213 * [backup-simplify]: Simplify (+ 0 0) into 0 1.213 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.214 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.214 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.214 * [backup-simplify]: Simplify (+ 0 0) into 0 1.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.215 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 1.215 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.215 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.215 * [taylor]: Taking taylor expansion of 1/2 in U 1.215 * [backup-simplify]: Simplify 1/2 into 1/2 1.215 * [taylor]: Taking taylor expansion of K in U 1.215 * [backup-simplify]: Simplify K into K 1.215 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.215 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.215 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.215 * [taylor]: Taking taylor expansion of J in U 1.215 * [backup-simplify]: Simplify J into J 1.215 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.215 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.215 * [backup-simplify]: Simplify (- 0) into 0 1.215 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.215 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.215 * [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 1.215 * [taylor]: Taking taylor expansion of -2 in U 1.215 * [backup-simplify]: Simplify -2 into -2 1.215 * [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 1.215 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.215 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.216 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.216 * [taylor]: Taking taylor expansion of 1/4 in U 1.216 * [backup-simplify]: Simplify 1/4 into 1/4 1.216 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.216 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.216 * [taylor]: Taking taylor expansion of J in U 1.216 * [backup-simplify]: Simplify J into J 1.216 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.216 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.216 * [taylor]: Taking taylor expansion of U in U 1.216 * [backup-simplify]: Simplify 0 into 0 1.216 * [backup-simplify]: Simplify 1 into 1 1.216 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.216 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.216 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.216 * [taylor]: Taking taylor expansion of 1/2 in U 1.216 * [backup-simplify]: Simplify 1/2 into 1/2 1.216 * [taylor]: Taking taylor expansion of K in U 1.216 * [backup-simplify]: Simplify K into K 1.216 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.216 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.216 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.216 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.216 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.216 * [backup-simplify]: Simplify (- 0) into 0 1.216 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.216 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.217 * [backup-simplify]: Simplify (* 1 1) into 1 1.217 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.217 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.217 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.217 * [taylor]: Taking taylor expansion of 1 in U 1.217 * [backup-simplify]: Simplify 1 into 1 1.217 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.217 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.217 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.217 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.218 * [backup-simplify]: Simplify (+ 0) into 0 1.218 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.218 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.219 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.219 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.219 * [backup-simplify]: Simplify (- 0) into 0 1.219 * [backup-simplify]: Simplify (+ 0 0) into 0 1.219 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.220 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.221 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.221 * [backup-simplify]: Simplify (+ 0 0) into 0 1.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.221 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 1.221 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.221 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.221 * [taylor]: Taking taylor expansion of 1/2 in U 1.221 * [backup-simplify]: Simplify 1/2 into 1/2 1.221 * [taylor]: Taking taylor expansion of K in U 1.221 * [backup-simplify]: Simplify K into K 1.221 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.221 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.221 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.221 * [taylor]: Taking taylor expansion of J in U 1.221 * [backup-simplify]: Simplify J into J 1.221 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.221 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.222 * [backup-simplify]: Simplify (- 0) into 0 1.222 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.222 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.222 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2 1.222 * [backup-simplify]: Simplify (* -2 1/2) into -1 1.222 * [taylor]: Taking taylor expansion of -1 in K 1.222 * [backup-simplify]: Simplify -1 into -1 1.222 * [taylor]: Taking taylor expansion of -1 in J 1.222 * [backup-simplify]: Simplify -1 into -1 1.223 * [backup-simplify]: Simplify (+ 0) into 0 1.223 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.223 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.223 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.224 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.224 * [backup-simplify]: Simplify (- 0) into 0 1.224 * [backup-simplify]: Simplify (+ 0 0) into 0 1.224 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 1.224 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 1.225 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 1.225 * [taylor]: Taking taylor expansion of 0 in K 1.225 * [backup-simplify]: Simplify 0 into 0 1.225 * [taylor]: Taking taylor expansion of 0 in J 1.225 * [backup-simplify]: Simplify 0 into 0 1.225 * [taylor]: Taking taylor expansion of 0 in J 1.225 * [backup-simplify]: Simplify 0 into 0 1.225 * [backup-simplify]: Simplify -1 into -1 1.226 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.226 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.226 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.227 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.227 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.227 * [backup-simplify]: Simplify (- 0) into 0 1.227 * [backup-simplify]: Simplify (+ 0 0) into 0 1.227 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.228 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.228 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.229 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.229 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.229 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.230 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.230 * [backup-simplify]: Simplify (- 0) into 0 1.230 * [backup-simplify]: Simplify (+ 0 0) into 0 1.230 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 1.232 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.232 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.233 * [backup-simplify]: Simplify (+ 0 1) into 1 1.233 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 1.234 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (/ (cos (/ 1/2 K)) J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 1.234 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 1.234 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in K 1.234 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in K 1.234 * [taylor]: Taking taylor expansion of 2 in K 1.234 * [backup-simplify]: Simplify 2 into 2 1.235 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in K 1.235 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 1.235 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.235 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.235 * [taylor]: Taking taylor expansion of 1/2 in K 1.235 * [backup-simplify]: Simplify 1/2 into 1/2 1.235 * [taylor]: Taking taylor expansion of K in K 1.235 * [backup-simplify]: Simplify 0 into 0 1.235 * [backup-simplify]: Simplify 1 into 1 1.235 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.235 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.235 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.235 * [taylor]: Taking taylor expansion of J in K 1.235 * [backup-simplify]: Simplify J into J 1.235 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.236 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.236 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 1.236 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 1.236 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 1.236 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 1.236 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 1.236 * [taylor]: Taking taylor expansion of 2 in J 1.236 * [backup-simplify]: Simplify 2 into 2 1.236 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 1.236 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.236 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.236 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.236 * [taylor]: Taking taylor expansion of 1/2 in J 1.236 * [backup-simplify]: Simplify 1/2 into 1/2 1.236 * [taylor]: Taking taylor expansion of K in J 1.237 * [backup-simplify]: Simplify K into K 1.237 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.237 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.237 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.237 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.237 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.237 * [backup-simplify]: Simplify (- 0) into 0 1.237 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.237 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.237 * [taylor]: Taking taylor expansion of J in J 1.238 * [backup-simplify]: Simplify 0 into 0 1.238 * [backup-simplify]: Simplify 1 into 1 1.238 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.238 * [backup-simplify]: Simplify (* 1 1) into 1 1.239 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 1.239 * [backup-simplify]: Simplify (+ 0) into 0 1.240 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.240 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.240 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.241 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.241 * [backup-simplify]: Simplify (- 0) into 0 1.242 * [backup-simplify]: Simplify (+ 0 0) into 0 1.242 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 1.244 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.245 * [backup-simplify]: Simplify (- 0) into 0 1.245 * [backup-simplify]: Simplify 0 into 0 1.245 * [taylor]: Taking taylor expansion of 0 in J 1.245 * [backup-simplify]: Simplify 0 into 0 1.245 * [taylor]: Taking taylor expansion of 0 in J 1.245 * [backup-simplify]: Simplify 0 into 0 1.245 * [backup-simplify]: Simplify 0 into 0 1.245 * [backup-simplify]: Simplify 0 into 0 1.245 * [backup-simplify]: Simplify 0 into 0 1.246 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.249 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.249 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.251 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.251 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.252 * [backup-simplify]: Simplify (- 0) into 0 1.252 * [backup-simplify]: Simplify (+ 0 0) into 0 1.252 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.253 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.254 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.255 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.255 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.257 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.258 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.258 * [backup-simplify]: Simplify (- 0) into 0 1.258 * [backup-simplify]: Simplify (+ 0 0) into 0 1.259 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 1.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.262 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.263 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.264 * [backup-simplify]: Simplify (+ 0 0) into 0 1.264 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 1.265 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0 1.266 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 1.266 * [taylor]: Taking taylor expansion of 0 in K 1.266 * [backup-simplify]: Simplify 0 into 0 1.266 * [taylor]: Taking taylor expansion of 0 in J 1.266 * [backup-simplify]: Simplify 0 into 0 1.266 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.266 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.267 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 1.267 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into 0 1.268 * [backup-simplify]: Simplify (- 0) into 0 1.268 * [taylor]: Taking taylor expansion of 0 in J 1.268 * [backup-simplify]: Simplify 0 into 0 1.268 * [taylor]: Taking taylor expansion of 0 in J 1.268 * [backup-simplify]: Simplify 0 into 0 1.268 * [taylor]: Taking taylor expansion of 0 in J 1.268 * [backup-simplify]: Simplify 0 into 0 1.269 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.270 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.270 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.271 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.271 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.272 * [backup-simplify]: Simplify (- 0) into 0 1.272 * [backup-simplify]: Simplify (+ 0 0) into 0 1.272 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.276 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 1.276 * [backup-simplify]: Simplify (- 0) into 0 1.276 * [backup-simplify]: Simplify 0 into 0 1.276 * [backup-simplify]: Simplify 0 into 0 1.276 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 1.277 * [backup-simplify]: Simplify (* (* (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) -2) (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 1.277 * [approximate]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in (U K J) around 0 1.277 * [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 1.277 * [taylor]: Taking taylor expansion of 2 in J 1.277 * [backup-simplify]: Simplify 2 into 2 1.277 * [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 1.277 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.277 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.277 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.277 * [taylor]: Taking taylor expansion of -1/2 in J 1.277 * [backup-simplify]: Simplify -1/2 into -1/2 1.277 * [taylor]: Taking taylor expansion of K in J 1.277 * [backup-simplify]: Simplify K into K 1.278 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.278 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.278 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.278 * [taylor]: Taking taylor expansion of J in J 1.278 * [backup-simplify]: Simplify 0 into 0 1.278 * [backup-simplify]: Simplify 1 into 1 1.278 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.278 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.278 * [backup-simplify]: Simplify (- 0) into 0 1.278 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.278 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.279 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 1.279 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 1.279 * [taylor]: Taking taylor expansion of 1 in J 1.279 * [backup-simplify]: Simplify 1 into 1 1.279 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 1.279 * [taylor]: Taking taylor expansion of 1/4 in J 1.279 * [backup-simplify]: Simplify 1/4 into 1/4 1.279 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 1.279 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.279 * [taylor]: Taking taylor expansion of J in J 1.279 * [backup-simplify]: Simplify 0 into 0 1.279 * [backup-simplify]: Simplify 1 into 1 1.279 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 1.279 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.279 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.279 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.279 * [taylor]: Taking taylor expansion of -1/2 in J 1.279 * [backup-simplify]: Simplify -1/2 into -1/2 1.279 * [taylor]: Taking taylor expansion of K in J 1.279 * [backup-simplify]: Simplify K into K 1.279 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.279 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.279 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.279 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.279 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.280 * [backup-simplify]: Simplify (- 0) into 0 1.280 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.280 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.280 * [taylor]: Taking taylor expansion of U in J 1.280 * [backup-simplify]: Simplify U into U 1.280 * [backup-simplify]: Simplify (* 1 1) into 1 1.280 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.281 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.281 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.281 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 1.281 * [backup-simplify]: Simplify (+ 1 0) into 1 1.282 * [backup-simplify]: Simplify (sqrt 1) into 1 1.282 * [backup-simplify]: Simplify (+ 0 0) into 0 1.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.283 * [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 1.283 * [taylor]: Taking taylor expansion of 2 in K 1.283 * [backup-simplify]: Simplify 2 into 2 1.283 * [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 1.283 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.283 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.283 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.283 * [taylor]: Taking taylor expansion of -1/2 in K 1.283 * [backup-simplify]: Simplify -1/2 into -1/2 1.283 * [taylor]: Taking taylor expansion of K in K 1.283 * [backup-simplify]: Simplify 0 into 0 1.283 * [backup-simplify]: Simplify 1 into 1 1.284 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.284 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.284 * [taylor]: Taking taylor expansion of J in K 1.284 * [backup-simplify]: Simplify J into J 1.284 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.284 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 1.284 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 1.284 * [taylor]: Taking taylor expansion of 1 in K 1.284 * [backup-simplify]: Simplify 1 into 1 1.284 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 1.284 * [taylor]: Taking taylor expansion of 1/4 in K 1.284 * [backup-simplify]: Simplify 1/4 into 1/4 1.284 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 1.284 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.284 * [taylor]: Taking taylor expansion of J in K 1.284 * [backup-simplify]: Simplify J into J 1.284 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 1.284 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 1.285 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.285 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.285 * [taylor]: Taking taylor expansion of -1/2 in K 1.285 * [backup-simplify]: Simplify -1/2 into -1/2 1.285 * [taylor]: Taking taylor expansion of K in K 1.285 * [backup-simplify]: Simplify 0 into 0 1.285 * [backup-simplify]: Simplify 1 into 1 1.285 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.285 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.285 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.285 * [taylor]: Taking taylor expansion of U in K 1.285 * [backup-simplify]: Simplify U into U 1.285 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.285 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.286 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.286 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.286 * [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))) 1.286 * [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)))) 1.287 * [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))))) 1.287 * [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)))))) 1.287 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.287 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.287 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.288 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 1.288 * [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 1.289 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 1.290 * [backup-simplify]: Simplify (+ 0 0) into 0 1.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 1.290 * [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 1.290 * [taylor]: Taking taylor expansion of 2 in U 1.290 * [backup-simplify]: Simplify 2 into 2 1.290 * [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 1.290 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 1.290 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.291 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.291 * [taylor]: Taking taylor expansion of -1/2 in U 1.291 * [backup-simplify]: Simplify -1/2 into -1/2 1.291 * [taylor]: Taking taylor expansion of K in U 1.291 * [backup-simplify]: Simplify K into K 1.291 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.291 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.291 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.291 * [taylor]: Taking taylor expansion of J in U 1.291 * [backup-simplify]: Simplify J into J 1.291 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.291 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.291 * [backup-simplify]: Simplify (- 0) into 0 1.292 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.292 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.292 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 1.292 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 1.292 * [taylor]: Taking taylor expansion of 1 in U 1.292 * [backup-simplify]: Simplify 1 into 1 1.292 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.292 * [taylor]: Taking taylor expansion of 1/4 in U 1.292 * [backup-simplify]: Simplify 1/4 into 1/4 1.292 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.292 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.292 * [taylor]: Taking taylor expansion of J in U 1.292 * [backup-simplify]: Simplify J into J 1.292 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.292 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.292 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.292 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.292 * [taylor]: Taking taylor expansion of -1/2 in U 1.292 * [backup-simplify]: Simplify -1/2 into -1/2 1.292 * [taylor]: Taking taylor expansion of K in U 1.292 * [backup-simplify]: Simplify K into K 1.292 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.292 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.292 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.292 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.293 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.293 * [backup-simplify]: Simplify (- 0) into 0 1.293 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.293 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.293 * [taylor]: Taking taylor expansion of U in U 1.293 * [backup-simplify]: Simplify 0 into 0 1.293 * [backup-simplify]: Simplify 1 into 1 1.293 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.293 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.294 * [backup-simplify]: Simplify (* 1 1) into 1 1.294 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.294 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.294 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1.295 * [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))) 1.295 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.295 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.296 * [backup-simplify]: Simplify (+ 0) into 0 1.297 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.297 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.297 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.298 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.298 * [backup-simplify]: Simplify (- 0) into 0 1.299 * [backup-simplify]: Simplify (+ 0 0) into 0 1.299 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.299 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.300 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.300 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.301 * [backup-simplify]: Simplify (+ 0 0) into 0 1.301 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.301 * [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 1.301 * [taylor]: Taking taylor expansion of 2 in U 1.301 * [backup-simplify]: Simplify 2 into 2 1.301 * [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 1.301 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 1.301 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.301 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.301 * [taylor]: Taking taylor expansion of -1/2 in U 1.301 * [backup-simplify]: Simplify -1/2 into -1/2 1.301 * [taylor]: Taking taylor expansion of K in U 1.301 * [backup-simplify]: Simplify K into K 1.302 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.302 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.302 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.302 * [taylor]: Taking taylor expansion of J in U 1.302 * [backup-simplify]: Simplify J into J 1.302 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.302 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.302 * [backup-simplify]: Simplify (- 0) into 0 1.302 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.302 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.302 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 1.303 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 1.303 * [taylor]: Taking taylor expansion of 1 in U 1.303 * [backup-simplify]: Simplify 1 into 1 1.303 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.303 * [taylor]: Taking taylor expansion of 1/4 in U 1.303 * [backup-simplify]: Simplify 1/4 into 1/4 1.303 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.303 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.303 * [taylor]: Taking taylor expansion of J in U 1.303 * [backup-simplify]: Simplify J into J 1.303 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.303 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.303 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.303 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.303 * [taylor]: Taking taylor expansion of -1/2 in U 1.303 * [backup-simplify]: Simplify -1/2 into -1/2 1.303 * [taylor]: Taking taylor expansion of K in U 1.303 * [backup-simplify]: Simplify K into K 1.303 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.303 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.303 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.303 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.303 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.304 * [backup-simplify]: Simplify (- 0) into 0 1.304 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.304 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.304 * [taylor]: Taking taylor expansion of U in U 1.304 * [backup-simplify]: Simplify 0 into 0 1.304 * [backup-simplify]: Simplify 1 into 1 1.304 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.304 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.305 * [backup-simplify]: Simplify (* 1 1) into 1 1.305 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.305 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.305 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1.305 * [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))) 1.306 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.306 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.307 * [backup-simplify]: Simplify (+ 0) into 0 1.307 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.307 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.308 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.309 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.309 * [backup-simplify]: Simplify (- 0) into 0 1.309 * [backup-simplify]: Simplify (+ 0 0) into 0 1.309 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.310 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.310 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.311 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.311 * [backup-simplify]: Simplify (+ 0 0) into 0 1.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.312 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2 1.312 * [backup-simplify]: Simplify (* 2 1/2) into 1 1.312 * [taylor]: Taking taylor expansion of 1 in K 1.312 * [backup-simplify]: Simplify 1 into 1 1.313 * [taylor]: Taking taylor expansion of 1 in J 1.313 * [backup-simplify]: Simplify 1 into 1 1.313 * [backup-simplify]: Simplify (+ 0) into 0 1.313 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.314 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.314 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.315 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.315 * [backup-simplify]: Simplify (- 0) into 0 1.316 * [backup-simplify]: Simplify (+ 0 0) into 0 1.316 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 1.316 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 1.317 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 1.317 * [taylor]: Taking taylor expansion of 0 in K 1.317 * [backup-simplify]: Simplify 0 into 0 1.317 * [taylor]: Taking taylor expansion of 0 in J 1.317 * [backup-simplify]: Simplify 0 into 0 1.317 * [taylor]: Taking taylor expansion of 0 in J 1.317 * [backup-simplify]: Simplify 0 into 0 1.317 * [backup-simplify]: Simplify 1 into 1 1.317 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.319 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.320 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.320 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.321 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.322 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.322 * [backup-simplify]: Simplify (- 0) into 0 1.322 * [backup-simplify]: Simplify (+ 0 0) into 0 1.323 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.324 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 1.324 * [backup-simplify]: 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 1.325 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 1.326 * [backup-simplify]: Simplify (+ 1 0) into 1 1.326 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 1.327 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.328 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.328 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.329 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.330 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.330 * [backup-simplify]: Simplify (- 0) into 0 1.330 * [backup-simplify]: Simplify (+ 0 0) into 0 1.331 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.331 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 1.332 * [backup-simplify]: Simplify (+ (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 1.332 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in K 1.332 * [taylor]: Taking taylor expansion of 2 in K 1.332 * [backup-simplify]: Simplify 2 into 2 1.332 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in K 1.332 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 1.332 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.332 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.333 * [taylor]: Taking taylor expansion of -1/2 in K 1.333 * [backup-simplify]: Simplify -1/2 into -1/2 1.333 * [taylor]: Taking taylor expansion of K in K 1.333 * [backup-simplify]: Simplify 0 into 0 1.333 * [backup-simplify]: Simplify 1 into 1 1.333 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.333 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.333 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.333 * [taylor]: Taking taylor expansion of J in K 1.333 * [backup-simplify]: Simplify J into J 1.333 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.333 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.334 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 1.334 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 1.334 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 1.334 * [taylor]: Taking taylor expansion of 2 in J 1.334 * [backup-simplify]: Simplify 2 into 2 1.334 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 1.334 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.334 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.334 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.334 * [taylor]: Taking taylor expansion of -1/2 in J 1.334 * [backup-simplify]: Simplify -1/2 into -1/2 1.334 * [taylor]: Taking taylor expansion of K in J 1.334 * [backup-simplify]: Simplify K into K 1.334 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.334 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.334 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.334 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.334 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.335 * [backup-simplify]: Simplify (- 0) into 0 1.335 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.335 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.335 * [taylor]: Taking taylor expansion of J in J 1.335 * [backup-simplify]: Simplify 0 into 0 1.335 * [backup-simplify]: Simplify 1 into 1 1.335 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.336 * [backup-simplify]: Simplify (* 1 1) into 1 1.336 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.336 * [backup-simplify]: Simplify (+ 0) into 0 1.337 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.337 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.337 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.338 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.338 * [backup-simplify]: Simplify (- 0) into 0 1.339 * [backup-simplify]: Simplify (+ 0 0) into 0 1.339 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 1.341 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 1.341 * [backup-simplify]: Simplify 0 into 0 1.341 * [taylor]: Taking taylor expansion of 0 in J 1.341 * [backup-simplify]: Simplify 0 into 0 1.341 * [taylor]: Taking taylor expansion of 0 in J 1.341 * [backup-simplify]: Simplify 0 into 0 1.341 * [backup-simplify]: Simplify 0 into 0 1.341 * [backup-simplify]: Simplify 0 into 0 1.341 * [backup-simplify]: Simplify 0 into 0 1.342 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.344 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.345 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.346 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.347 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.348 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.348 * [backup-simplify]: Simplify (- 0) into 0 1.349 * [backup-simplify]: Simplify (+ 0 0) into 0 1.350 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 1.351 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.351 * [backup-simplify]: 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 1.353 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.353 * [backup-simplify]: Simplify (+ 0 0) into 0 1.353 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 1.354 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.356 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.356 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.357 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.358 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.358 * [backup-simplify]: Simplify (- 0) into 0 1.359 * [backup-simplify]: Simplify (+ 0 0) into 0 1.359 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.360 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 1.361 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 1.361 * [taylor]: Taking taylor expansion of 0 in K 1.361 * [backup-simplify]: Simplify 0 into 0 1.361 * [taylor]: Taking taylor expansion of 0 in J 1.361 * [backup-simplify]: Simplify 0 into 0 1.362 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.362 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.362 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 1.363 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) into 0 1.363 * [taylor]: Taking taylor expansion of 0 in J 1.363 * [backup-simplify]: Simplify 0 into 0 1.363 * [taylor]: Taking taylor expansion of 0 in J 1.363 * [backup-simplify]: Simplify 0 into 0 1.363 * [taylor]: Taking taylor expansion of 0 in J 1.363 * [backup-simplify]: Simplify 0 into 0 1.364 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.365 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.365 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.366 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.366 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.366 * [backup-simplify]: Simplify (- 0) into 0 1.367 * [backup-simplify]: Simplify (+ 0 0) into 0 1.367 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.369 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 1.369 * [backup-simplify]: Simplify 0 into 0 1.369 * [backup-simplify]: Simplify 0 into 0 1.369 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 1.369 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.369 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 1.369 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0 1.369 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 1.369 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 1.369 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 1.369 * [taylor]: Taking taylor expansion of 1/4 in J 1.370 * [backup-simplify]: Simplify 1/4 into 1/4 1.370 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 1.370 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.370 * [taylor]: Taking taylor expansion of U in J 1.370 * [backup-simplify]: Simplify U into U 1.370 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 1.370 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 1.370 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.370 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.370 * [taylor]: Taking taylor expansion of 1/2 in J 1.370 * [backup-simplify]: Simplify 1/2 into 1/2 1.370 * [taylor]: Taking taylor expansion of K in J 1.370 * [backup-simplify]: Simplify K into K 1.370 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.370 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.370 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.370 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.370 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.370 * [backup-simplify]: Simplify (- 0) into 0 1.370 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.370 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.370 * [taylor]: Taking taylor expansion of J in J 1.370 * [backup-simplify]: Simplify 0 into 0 1.370 * [backup-simplify]: Simplify 1 into 1 1.370 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.370 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.371 * [backup-simplify]: Simplify (* 1 1) into 1 1.371 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 1.371 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 1.371 * [taylor]: Taking taylor expansion of 1 in J 1.371 * [backup-simplify]: Simplify 1 into 1 1.371 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 1.371 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 1.371 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 1.371 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.372 * [backup-simplify]: Simplify (+ 0) into 0 1.372 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.373 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.373 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.373 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.374 * [backup-simplify]: Simplify (- 0) into 0 1.374 * [backup-simplify]: Simplify (+ 0 0) into 0 1.374 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.374 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 1.375 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 1.375 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 1.375 * [backup-simplify]: Simplify (+ 0 0) into 0 1.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 1.375 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 1.375 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 1.376 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 1.376 * [taylor]: Taking taylor expansion of 1/4 in K 1.376 * [backup-simplify]: Simplify 1/4 into 1/4 1.376 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.376 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.376 * [taylor]: Taking taylor expansion of U in K 1.376 * [backup-simplify]: Simplify U into U 1.376 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.376 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.376 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.376 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.376 * [taylor]: Taking taylor expansion of 1/2 in K 1.376 * [backup-simplify]: Simplify 1/2 into 1/2 1.376 * [taylor]: Taking taylor expansion of K in K 1.376 * [backup-simplify]: Simplify 0 into 0 1.376 * [backup-simplify]: Simplify 1 into 1 1.376 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.376 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.376 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.376 * [taylor]: Taking taylor expansion of J in K 1.376 * [backup-simplify]: Simplify J into J 1.377 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.377 * [backup-simplify]: Simplify (* 1 1) into 1 1.377 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.377 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.377 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 1.377 * [taylor]: Taking taylor expansion of 1 in K 1.377 * [backup-simplify]: Simplify 1 into 1 1.377 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 1.377 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1.377 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 1.377 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.377 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.378 * [backup-simplify]: Simplify (+ 0) into 0 1.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 1.379 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 1.379 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 1.379 * [backup-simplify]: Simplify (+ 0 0) into 0 1.379 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 1.379 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.379 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.379 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.379 * [taylor]: Taking taylor expansion of 1/4 in U 1.379 * [backup-simplify]: Simplify 1/4 into 1/4 1.379 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.379 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.379 * [taylor]: Taking taylor expansion of U in U 1.379 * [backup-simplify]: Simplify 0 into 0 1.380 * [backup-simplify]: Simplify 1 into 1 1.380 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.380 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.380 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.380 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.380 * [taylor]: Taking taylor expansion of 1/2 in U 1.380 * [backup-simplify]: Simplify 1/2 into 1/2 1.380 * [taylor]: Taking taylor expansion of K in U 1.380 * [backup-simplify]: Simplify K into K 1.380 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.380 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.380 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.380 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.380 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.380 * [backup-simplify]: Simplify (- 0) into 0 1.380 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.380 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.380 * [taylor]: Taking taylor expansion of J in U 1.380 * [backup-simplify]: Simplify J into J 1.380 * [backup-simplify]: Simplify (* 1 1) into 1 1.381 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.381 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.381 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.381 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.381 * [taylor]: Taking taylor expansion of 1 in U 1.381 * [backup-simplify]: Simplify 1 into 1 1.381 * [backup-simplify]: Simplify (+ 0 1) into 1 1.381 * [backup-simplify]: Simplify (sqrt 1) into 1 1.382 * [backup-simplify]: Simplify (+ 0 0) into 0 1.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.382 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.382 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.382 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.382 * [taylor]: Taking taylor expansion of 1/4 in U 1.382 * [backup-simplify]: Simplify 1/4 into 1/4 1.382 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.382 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.382 * [taylor]: Taking taylor expansion of U in U 1.382 * [backup-simplify]: Simplify 0 into 0 1.382 * [backup-simplify]: Simplify 1 into 1 1.382 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.382 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.382 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.382 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.382 * [taylor]: Taking taylor expansion of 1/2 in U 1.382 * [backup-simplify]: Simplify 1/2 into 1/2 1.382 * [taylor]: Taking taylor expansion of K in U 1.382 * [backup-simplify]: Simplify K into K 1.382 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.382 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.382 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.382 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.382 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.383 * [backup-simplify]: Simplify (- 0) into 0 1.383 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.383 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.383 * [taylor]: Taking taylor expansion of J in U 1.383 * [backup-simplify]: Simplify J into J 1.383 * [backup-simplify]: Simplify (* 1 1) into 1 1.383 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.383 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.383 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.383 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.383 * [taylor]: Taking taylor expansion of 1 in U 1.383 * [backup-simplify]: Simplify 1 into 1 1.384 * [backup-simplify]: Simplify (+ 0 1) into 1 1.384 * [backup-simplify]: Simplify (sqrt 1) into 1 1.384 * [backup-simplify]: Simplify (+ 0 0) into 0 1.385 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.385 * [taylor]: Taking taylor expansion of 1 in K 1.385 * [backup-simplify]: Simplify 1 into 1 1.385 * [taylor]: Taking taylor expansion of 1 in J 1.385 * [backup-simplify]: Simplify 1 into 1 1.385 * [taylor]: Taking taylor expansion of 0 in K 1.385 * [backup-simplify]: Simplify 0 into 0 1.385 * [taylor]: Taking taylor expansion of 0 in J 1.385 * [backup-simplify]: Simplify 0 into 0 1.385 * [taylor]: Taking taylor expansion of 0 in J 1.385 * [backup-simplify]: Simplify 0 into 0 1.385 * [backup-simplify]: Simplify 1 into 1 1.385 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.385 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1.387 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.387 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.387 * [taylor]: Taking taylor expansion of 1/8 in K 1.387 * [backup-simplify]: Simplify 1/8 into 1/8 1.387 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.387 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.387 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.387 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.387 * [taylor]: Taking taylor expansion of 1/2 in K 1.387 * [backup-simplify]: Simplify 1/2 into 1/2 1.387 * [taylor]: Taking taylor expansion of K in K 1.388 * [backup-simplify]: Simplify 0 into 0 1.388 * [backup-simplify]: Simplify 1 into 1 1.388 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.388 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.388 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.388 * [taylor]: Taking taylor expansion of J in K 1.388 * [backup-simplify]: Simplify J into J 1.389 * [backup-simplify]: Simplify (* 1 1) into 1 1.389 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.389 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.389 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 1.389 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 1.389 * [taylor]: Taking taylor expansion of 1/8 in J 1.389 * [backup-simplify]: Simplify 1/8 into 1/8 1.389 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.389 * [taylor]: Taking taylor expansion of J in J 1.389 * [backup-simplify]: Simplify 0 into 0 1.389 * [backup-simplify]: Simplify 1 into 1 1.389 * [backup-simplify]: Simplify (* 1 1) into 1 1.389 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 1.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [taylor]: Taking taylor expansion of 0 in J 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [taylor]: Taking taylor expansion of 0 in J 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify 0 into 0 1.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.391 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.391 * [backup-simplify]: Simplify (+ 0) into 0 1.391 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.392 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.392 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.392 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.393 * [backup-simplify]: Simplify (- 0) into 0 1.393 * [backup-simplify]: Simplify (+ 0 0) into 0 1.393 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.393 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 1.393 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 1.394 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 1.394 * [backup-simplify]: Simplify (+ 0 0) into 0 1.394 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 1.394 * [taylor]: Taking taylor expansion of 0 in K 1.394 * [backup-simplify]: Simplify 0 into 0 1.395 * [taylor]: Taking taylor expansion of 0 in J 1.395 * [backup-simplify]: Simplify 0 into 0 1.395 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.395 * [backup-simplify]: Simplify (+ 0) into 0 1.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 1.396 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 1.396 * [taylor]: Taking taylor expansion of 0 in J 1.396 * [backup-simplify]: Simplify 0 into 0 1.396 * [taylor]: Taking taylor expansion of 0 in J 1.396 * [backup-simplify]: Simplify 0 into 0 1.396 * [taylor]: Taking taylor expansion of 0 in J 1.396 * [backup-simplify]: Simplify 0 into 0 1.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.397 * [backup-simplify]: Simplify 0 into 0 1.397 * [backup-simplify]: Simplify 0 into 0 1.397 * [backup-simplify]: Simplify 1 into 1 1.397 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 1.397 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0 1.397 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 1.397 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 1.397 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 1.397 * [taylor]: Taking taylor expansion of 1/4 in J 1.397 * [backup-simplify]: Simplify 1/4 into 1/4 1.397 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 1.397 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.397 * [taylor]: Taking taylor expansion of J in J 1.398 * [backup-simplify]: Simplify 0 into 0 1.398 * [backup-simplify]: Simplify 1 into 1 1.398 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 1.398 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.398 * [taylor]: Taking taylor expansion of U in J 1.398 * [backup-simplify]: Simplify U into U 1.398 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.398 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.398 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.398 * [taylor]: Taking taylor expansion of 1/2 in J 1.398 * [backup-simplify]: Simplify 1/2 into 1/2 1.398 * [taylor]: Taking taylor expansion of K in J 1.398 * [backup-simplify]: Simplify K into K 1.398 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.398 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.398 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.398 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.398 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.398 * [backup-simplify]: Simplify (- 0) into 0 1.398 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.398 * [backup-simplify]: Simplify (* 1 1) into 1 1.399 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.399 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.399 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.399 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 1.399 * [taylor]: Taking taylor expansion of 1 in J 1.399 * [backup-simplify]: Simplify 1 into 1 1.399 * [backup-simplify]: Simplify (+ 0 1) into 1 1.399 * [backup-simplify]: Simplify (sqrt 1) into 1 1.400 * [backup-simplify]: Simplify (+ 0 0) into 0 1.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.400 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 1.400 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 1.400 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 1.400 * [taylor]: Taking taylor expansion of 1/4 in K 1.400 * [backup-simplify]: Simplify 1/4 into 1/4 1.400 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 1.400 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.400 * [taylor]: Taking taylor expansion of J in K 1.400 * [backup-simplify]: Simplify J into J 1.400 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 1.400 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.400 * [taylor]: Taking taylor expansion of U in K 1.400 * [backup-simplify]: Simplify U into U 1.400 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 1.400 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.400 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.400 * [taylor]: Taking taylor expansion of 1/2 in K 1.400 * [backup-simplify]: Simplify 1/2 into 1/2 1.400 * [taylor]: Taking taylor expansion of K in K 1.400 * [backup-simplify]: Simplify 0 into 0 1.401 * [backup-simplify]: Simplify 1 into 1 1.401 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.401 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.401 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.401 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.401 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.401 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.401 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 1.401 * [taylor]: Taking taylor expansion of 1 in K 1.401 * [backup-simplify]: Simplify 1 into 1 1.402 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1.402 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1.402 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 1.402 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.402 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.402 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.402 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.403 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.403 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.403 * [backup-simplify]: Simplify (+ 0 0) into 0 1.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 1.404 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.404 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.404 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.404 * [taylor]: Taking taylor expansion of 1/4 in U 1.404 * [backup-simplify]: Simplify 1/4 into 1/4 1.404 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.404 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.404 * [taylor]: Taking taylor expansion of J in U 1.404 * [backup-simplify]: Simplify J into J 1.404 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.404 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.404 * [taylor]: Taking taylor expansion of U in U 1.404 * [backup-simplify]: Simplify 0 into 0 1.404 * [backup-simplify]: Simplify 1 into 1 1.404 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.404 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.404 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.404 * [taylor]: Taking taylor expansion of 1/2 in U 1.404 * [backup-simplify]: Simplify 1/2 into 1/2 1.404 * [taylor]: Taking taylor expansion of K in U 1.404 * [backup-simplify]: Simplify K into K 1.404 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.404 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.404 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.404 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.404 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.405 * [backup-simplify]: Simplify (- 0) into 0 1.405 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.405 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.405 * [backup-simplify]: Simplify (* 1 1) into 1 1.405 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.405 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.405 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.405 * [taylor]: Taking taylor expansion of 1 in U 1.405 * [backup-simplify]: Simplify 1 into 1 1.405 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.405 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.406 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.406 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.406 * [backup-simplify]: Simplify (+ 0) into 0 1.406 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.406 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.407 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.407 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.407 * [backup-simplify]: Simplify (- 0) into 0 1.408 * [backup-simplify]: Simplify (+ 0 0) into 0 1.408 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.409 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.409 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.409 * [backup-simplify]: Simplify (+ 0 0) into 0 1.410 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.410 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.410 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.410 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.410 * [taylor]: Taking taylor expansion of 1/4 in U 1.410 * [backup-simplify]: Simplify 1/4 into 1/4 1.410 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.410 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.410 * [taylor]: Taking taylor expansion of J in U 1.410 * [backup-simplify]: Simplify J into J 1.410 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.410 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.410 * [taylor]: Taking taylor expansion of U in U 1.410 * [backup-simplify]: Simplify 0 into 0 1.410 * [backup-simplify]: Simplify 1 into 1 1.410 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.410 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.410 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.410 * [taylor]: Taking taylor expansion of 1/2 in U 1.410 * [backup-simplify]: Simplify 1/2 into 1/2 1.410 * [taylor]: Taking taylor expansion of K in U 1.410 * [backup-simplify]: Simplify K into K 1.410 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.410 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.410 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.410 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.410 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.410 * [backup-simplify]: Simplify (- 0) into 0 1.410 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.411 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.411 * [backup-simplify]: Simplify (* 1 1) into 1 1.411 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.411 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.411 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.411 * [taylor]: Taking taylor expansion of 1 in U 1.411 * [backup-simplify]: Simplify 1 into 1 1.411 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.411 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.411 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.412 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.412 * [backup-simplify]: Simplify (+ 0) into 0 1.412 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.412 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.413 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.413 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.413 * [backup-simplify]: Simplify (- 0) into 0 1.413 * [backup-simplify]: Simplify (+ 0 0) into 0 1.413 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.414 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.415 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.415 * [backup-simplify]: Simplify (+ 0 0) into 0 1.415 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.415 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 1.415 * [taylor]: Taking taylor expansion of 1/2 in K 1.415 * [backup-simplify]: Simplify 1/2 into 1/2 1.415 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 1.415 * [taylor]: Taking taylor expansion of J in K 1.415 * [backup-simplify]: Simplify J into J 1.415 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.415 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.415 * [taylor]: Taking taylor expansion of 1/2 in K 1.415 * [backup-simplify]: Simplify 1/2 into 1/2 1.415 * [taylor]: Taking taylor expansion of K in K 1.415 * [backup-simplify]: Simplify 0 into 0 1.415 * [backup-simplify]: Simplify 1 into 1 1.416 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.416 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.416 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 1.416 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.416 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 1.416 * [taylor]: Taking taylor expansion of 1/2 in J 1.416 * [backup-simplify]: Simplify 1/2 into 1/2 1.416 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 1.416 * [taylor]: Taking taylor expansion of J in J 1.416 * [backup-simplify]: Simplify 0 into 0 1.416 * [backup-simplify]: Simplify 1 into 1 1.416 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.416 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.416 * [taylor]: Taking taylor expansion of 1/2 in J 1.416 * [backup-simplify]: Simplify 1/2 into 1/2 1.416 * [taylor]: Taking taylor expansion of K in J 1.416 * [backup-simplify]: Simplify K into K 1.416 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.416 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.416 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.416 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.416 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.417 * [backup-simplify]: Simplify (- 0) into 0 1.417 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.417 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 1.417 * [taylor]: Taking taylor expansion of 0 in K 1.417 * [backup-simplify]: Simplify 0 into 0 1.417 * [taylor]: Taking taylor expansion of 0 in J 1.417 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.417 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 1.417 * [taylor]: Taking taylor expansion of 0 in J 1.417 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 1.417 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 1.418 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.418 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.419 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.419 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.419 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.420 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.420 * [backup-simplify]: Simplify (- 0) into 0 1.420 * [backup-simplify]: Simplify (+ 0 0) into 0 1.421 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 1.422 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.423 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.423 * [backup-simplify]: Simplify (+ 0 1) into 1 1.424 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 1.424 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.424 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.424 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.424 * [taylor]: Taking taylor expansion of 1/2 in K 1.424 * [backup-simplify]: Simplify 1/2 into 1/2 1.424 * [taylor]: Taking taylor expansion of K in K 1.424 * [backup-simplify]: Simplify 0 into 0 1.424 * [backup-simplify]: Simplify 1 into 1 1.424 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.424 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.424 * [taylor]: Taking taylor expansion of J in K 1.424 * [backup-simplify]: Simplify J into J 1.424 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.424 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.424 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.424 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.424 * [taylor]: Taking taylor expansion of 1/2 in J 1.424 * [backup-simplify]: Simplify 1/2 into 1/2 1.424 * [taylor]: Taking taylor expansion of K in J 1.424 * [backup-simplify]: Simplify K into K 1.424 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.425 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.425 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.425 * [taylor]: Taking taylor expansion of J in J 1.425 * [backup-simplify]: Simplify 0 into 0 1.425 * [backup-simplify]: Simplify 1 into 1 1.425 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.425 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.425 * [backup-simplify]: Simplify (- 0) into 0 1.425 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.425 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.425 * [backup-simplify]: Simplify (+ 0) into 0 1.426 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.426 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.426 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.427 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.427 * [backup-simplify]: Simplify (- 0) into 0 1.427 * [backup-simplify]: Simplify (+ 0 0) into 0 1.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 1.428 * [backup-simplify]: Simplify 0 into 0 1.428 * [taylor]: Taking taylor expansion of 0 in J 1.428 * [backup-simplify]: Simplify 0 into 0 1.428 * [backup-simplify]: Simplify 0 into 0 1.428 * [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 1.428 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 1.428 * [taylor]: Taking taylor expansion of 0 in J 1.429 * [backup-simplify]: Simplify 0 into 0 1.429 * [backup-simplify]: Simplify 0 into 0 1.429 * [backup-simplify]: Simplify 0 into 0 1.429 * [backup-simplify]: Simplify 0 into 0 1.429 * [backup-simplify]: Simplify (+ 0) into 0 1.429 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.429 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.430 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.430 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.430 * [backup-simplify]: Simplify (- 0) into 0 1.431 * [backup-simplify]: Simplify (+ 0 0) into 0 1.431 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.432 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 1.432 * [backup-simplify]: Simplify 0 into 0 1.432 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 1.433 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 1.433 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0 1.433 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 1.433 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 1.433 * [taylor]: Taking taylor expansion of 1 in J 1.433 * [backup-simplify]: Simplify 1 into 1 1.433 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 1.433 * [taylor]: Taking taylor expansion of 1/4 in J 1.433 * [backup-simplify]: Simplify 1/4 into 1/4 1.433 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 1.433 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.433 * [taylor]: Taking taylor expansion of J in J 1.433 * [backup-simplify]: Simplify 0 into 0 1.433 * [backup-simplify]: Simplify 1 into 1 1.433 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 1.433 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.433 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.433 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.433 * [taylor]: Taking taylor expansion of -1/2 in J 1.433 * [backup-simplify]: Simplify -1/2 into -1/2 1.433 * [taylor]: Taking taylor expansion of K in J 1.433 * [backup-simplify]: Simplify K into K 1.433 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.433 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.433 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.434 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.434 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.434 * [backup-simplify]: Simplify (- 0) into 0 1.434 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.434 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.434 * [taylor]: Taking taylor expansion of U in J 1.434 * [backup-simplify]: Simplify U into U 1.435 * [backup-simplify]: Simplify (* 1 1) into 1 1.435 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.435 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.435 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.435 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 1.436 * [backup-simplify]: Simplify (+ 1 0) into 1 1.436 * [backup-simplify]: Simplify (sqrt 1) into 1 1.436 * [backup-simplify]: Simplify (+ 0 0) into 0 1.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.437 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 1.437 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 1.437 * [taylor]: Taking taylor expansion of 1 in K 1.437 * [backup-simplify]: Simplify 1 into 1 1.437 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 1.437 * [taylor]: Taking taylor expansion of 1/4 in K 1.437 * [backup-simplify]: Simplify 1/4 into 1/4 1.437 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 1.437 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.437 * [taylor]: Taking taylor expansion of J in K 1.438 * [backup-simplify]: Simplify J into J 1.438 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 1.438 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 1.438 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.438 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.438 * [taylor]: Taking taylor expansion of -1/2 in K 1.438 * [backup-simplify]: Simplify -1/2 into -1/2 1.438 * [taylor]: Taking taylor expansion of K in K 1.438 * [backup-simplify]: Simplify 0 into 0 1.438 * [backup-simplify]: Simplify 1 into 1 1.438 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.438 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.438 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.438 * [taylor]: Taking taylor expansion of U in K 1.438 * [backup-simplify]: Simplify U into U 1.438 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.438 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.438 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.438 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.439 * [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))) 1.439 * [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)))) 1.439 * [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))))) 1.439 * [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)))))) 1.439 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.439 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.439 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.440 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 1.440 * [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 1.440 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 1.441 * [backup-simplify]: Simplify (+ 0 0) into 0 1.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 1.441 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 1.441 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 1.441 * [taylor]: Taking taylor expansion of 1 in U 1.441 * [backup-simplify]: Simplify 1 into 1 1.441 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.441 * [taylor]: Taking taylor expansion of 1/4 in U 1.441 * [backup-simplify]: Simplify 1/4 into 1/4 1.441 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.441 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.441 * [taylor]: Taking taylor expansion of J in U 1.441 * [backup-simplify]: Simplify J into J 1.441 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.441 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.441 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.441 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.441 * [taylor]: Taking taylor expansion of -1/2 in U 1.441 * [backup-simplify]: Simplify -1/2 into -1/2 1.441 * [taylor]: Taking taylor expansion of K in U 1.441 * [backup-simplify]: Simplify K into K 1.441 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.441 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.441 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.441 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.441 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.442 * [backup-simplify]: Simplify (- 0) into 0 1.442 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.442 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.442 * [taylor]: Taking taylor expansion of U in U 1.442 * [backup-simplify]: Simplify 0 into 0 1.442 * [backup-simplify]: Simplify 1 into 1 1.442 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.442 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.442 * [backup-simplify]: Simplify (* 1 1) into 1 1.442 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.442 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.442 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1.443 * [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))) 1.443 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.443 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.443 * [backup-simplify]: Simplify (+ 0) into 0 1.444 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.444 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.444 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.445 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.445 * [backup-simplify]: Simplify (- 0) into 0 1.445 * [backup-simplify]: Simplify (+ 0 0) into 0 1.445 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.445 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.446 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.446 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.446 * [backup-simplify]: Simplify (+ 0 0) into 0 1.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.447 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 1.447 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 1.447 * [taylor]: Taking taylor expansion of 1 in U 1.447 * [backup-simplify]: Simplify 1 into 1 1.447 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.447 * [taylor]: Taking taylor expansion of 1/4 in U 1.447 * [backup-simplify]: Simplify 1/4 into 1/4 1.447 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.447 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.447 * [taylor]: Taking taylor expansion of J in U 1.447 * [backup-simplify]: Simplify J into J 1.447 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.447 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.447 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.447 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.447 * [taylor]: Taking taylor expansion of -1/2 in U 1.447 * [backup-simplify]: Simplify -1/2 into -1/2 1.447 * [taylor]: Taking taylor expansion of K in U 1.447 * [backup-simplify]: Simplify K into K 1.447 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.447 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.447 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.447 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.447 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.447 * [backup-simplify]: Simplify (- 0) into 0 1.447 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.447 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.447 * [taylor]: Taking taylor expansion of U in U 1.447 * [backup-simplify]: Simplify 0 into 0 1.447 * [backup-simplify]: Simplify 1 into 1 1.447 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.448 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.448 * [backup-simplify]: Simplify (* 1 1) into 1 1.448 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.448 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.448 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1.448 * [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))) 1.448 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.448 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.449 * [backup-simplify]: Simplify (+ 0) into 0 1.449 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.450 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.450 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.450 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.451 * [backup-simplify]: Simplify (- 0) into 0 1.451 * [backup-simplify]: Simplify (+ 0 0) into 0 1.451 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.451 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.451 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.452 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.452 * [backup-simplify]: Simplify (+ 0 0) into 0 1.452 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.452 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 1.452 * [taylor]: Taking taylor expansion of 1/2 in K 1.452 * [backup-simplify]: Simplify 1/2 into 1/2 1.452 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 1.452 * [taylor]: Taking taylor expansion of J in K 1.452 * [backup-simplify]: Simplify J into J 1.452 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.452 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.453 * [taylor]: Taking taylor expansion of -1/2 in K 1.453 * [backup-simplify]: Simplify -1/2 into -1/2 1.453 * [taylor]: Taking taylor expansion of K in K 1.453 * [backup-simplify]: Simplify 0 into 0 1.453 * [backup-simplify]: Simplify 1 into 1 1.453 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.453 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.453 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 1.453 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.453 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 1.453 * [taylor]: Taking taylor expansion of 1/2 in J 1.453 * [backup-simplify]: Simplify 1/2 into 1/2 1.453 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 1.453 * [taylor]: Taking taylor expansion of J in J 1.453 * [backup-simplify]: Simplify 0 into 0 1.453 * [backup-simplify]: Simplify 1 into 1 1.453 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.453 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.453 * [taylor]: Taking taylor expansion of -1/2 in J 1.453 * [backup-simplify]: Simplify -1/2 into -1/2 1.453 * [taylor]: Taking taylor expansion of K in J 1.453 * [backup-simplify]: Simplify K into K 1.453 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.453 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.454 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.454 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.454 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.454 * [backup-simplify]: Simplify (- 0) into 0 1.454 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.454 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 1.454 * [taylor]: Taking taylor expansion of 0 in K 1.454 * [backup-simplify]: Simplify 0 into 0 1.454 * [taylor]: Taking taylor expansion of 0 in J 1.454 * [backup-simplify]: Simplify 0 into 0 1.454 * [backup-simplify]: Simplify 0 into 0 1.454 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.455 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 1.455 * [taylor]: Taking taylor expansion of 0 in J 1.455 * [backup-simplify]: Simplify 0 into 0 1.455 * [backup-simplify]: Simplify 0 into 0 1.455 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 1.455 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 1.455 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.456 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.457 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.457 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.457 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.458 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.458 * [backup-simplify]: Simplify (- 0) into 0 1.458 * [backup-simplify]: Simplify (+ 0 0) into 0 1.459 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.459 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 1.459 * [backup-simplify]: 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 1.460 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 1.460 * [backup-simplify]: Simplify (+ 1 0) into 1 1.461 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 1.461 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.461 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.461 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.461 * [taylor]: Taking taylor expansion of -1/2 in K 1.461 * [backup-simplify]: Simplify -1/2 into -1/2 1.461 * [taylor]: Taking taylor expansion of K in K 1.461 * [backup-simplify]: Simplify 0 into 0 1.461 * [backup-simplify]: Simplify 1 into 1 1.461 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.461 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.461 * [taylor]: Taking taylor expansion of J in K 1.461 * [backup-simplify]: Simplify J into J 1.461 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.461 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.461 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.462 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.462 * [taylor]: Taking taylor expansion of -1/2 in J 1.462 * [backup-simplify]: Simplify -1/2 into -1/2 1.462 * [taylor]: Taking taylor expansion of K in J 1.462 * [backup-simplify]: Simplify K into K 1.462 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.462 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.462 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.462 * [taylor]: Taking taylor expansion of J in J 1.462 * [backup-simplify]: Simplify 0 into 0 1.462 * [backup-simplify]: Simplify 1 into 1 1.462 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.462 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.462 * [backup-simplify]: Simplify (- 0) into 0 1.462 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.462 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.462 * [backup-simplify]: Simplify (+ 0) into 0 1.463 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.463 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.463 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.464 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.464 * [backup-simplify]: Simplify (- 0) into 0 1.464 * [backup-simplify]: Simplify (+ 0 0) into 0 1.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 1.465 * [backup-simplify]: Simplify 0 into 0 1.465 * [taylor]: Taking taylor expansion of 0 in J 1.465 * [backup-simplify]: Simplify 0 into 0 1.465 * [backup-simplify]: Simplify 0 into 0 1.465 * [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 1.466 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 1.466 * [taylor]: Taking taylor expansion of 0 in J 1.466 * [backup-simplify]: Simplify 0 into 0 1.466 * [backup-simplify]: Simplify 0 into 0 1.466 * [backup-simplify]: Simplify 0 into 0 1.466 * [backup-simplify]: Simplify 0 into 0 1.466 * [backup-simplify]: Simplify (+ 0) into 0 1.466 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.466 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.467 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.467 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.467 * [backup-simplify]: Simplify (- 0) into 0 1.468 * [backup-simplify]: Simplify (+ 0 0) into 0 1.468 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.468 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 1.468 * [backup-simplify]: Simplify 0 into 0 1.468 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 1.468 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 1.468 * [backup-simplify]: Simplify (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1.469 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in (U K J) around 0 1.469 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 1.469 * [taylor]: Taking taylor expansion of 1/4 in J 1.469 * [backup-simplify]: Simplify 1/4 into 1/4 1.469 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 1.469 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.469 * [taylor]: Taking taylor expansion of U in J 1.469 * [backup-simplify]: Simplify U into U 1.469 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 1.469 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 1.469 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.469 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.469 * [taylor]: Taking taylor expansion of 1/2 in J 1.469 * [backup-simplify]: Simplify 1/2 into 1/2 1.469 * [taylor]: Taking taylor expansion of K in J 1.469 * [backup-simplify]: Simplify K into K 1.469 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.469 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.469 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.469 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.469 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.469 * [backup-simplify]: Simplify (- 0) into 0 1.469 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.469 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.469 * [taylor]: Taking taylor expansion of J in J 1.469 * [backup-simplify]: Simplify 0 into 0 1.469 * [backup-simplify]: Simplify 1 into 1 1.469 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.469 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.470 * [backup-simplify]: Simplify (* 1 1) into 1 1.470 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 1.470 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 1.470 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 1.470 * [taylor]: Taking taylor expansion of 1/4 in K 1.470 * [backup-simplify]: Simplify 1/4 into 1/4 1.470 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.470 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.470 * [taylor]: Taking taylor expansion of U in K 1.470 * [backup-simplify]: Simplify U into U 1.470 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.470 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.470 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.470 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.470 * [taylor]: Taking taylor expansion of 1/2 in K 1.470 * [backup-simplify]: Simplify 1/2 into 1/2 1.470 * [taylor]: Taking taylor expansion of K in K 1.470 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify 1 into 1 1.470 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.471 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.471 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.471 * [taylor]: Taking taylor expansion of J in K 1.471 * [backup-simplify]: Simplify J into J 1.471 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.471 * [backup-simplify]: Simplify (* 1 1) into 1 1.471 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.471 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.471 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 1.471 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.471 * [taylor]: Taking taylor expansion of 1/4 in U 1.471 * [backup-simplify]: Simplify 1/4 into 1/4 1.472 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.472 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.472 * [taylor]: Taking taylor expansion of U in U 1.472 * [backup-simplify]: Simplify 0 into 0 1.472 * [backup-simplify]: Simplify 1 into 1 1.472 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.472 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.472 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.472 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.472 * [taylor]: Taking taylor expansion of 1/2 in U 1.472 * [backup-simplify]: Simplify 1/2 into 1/2 1.472 * [taylor]: Taking taylor expansion of K in U 1.472 * [backup-simplify]: Simplify K into K 1.472 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.472 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.472 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.472 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.472 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.472 * [backup-simplify]: Simplify (- 0) into 0 1.472 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.472 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.472 * [taylor]: Taking taylor expansion of J in U 1.472 * [backup-simplify]: Simplify J into J 1.473 * [backup-simplify]: Simplify (* 1 1) into 1 1.473 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.473 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.473 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.473 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.473 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.473 * [taylor]: Taking taylor expansion of 1/4 in U 1.473 * [backup-simplify]: Simplify 1/4 into 1/4 1.473 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.473 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.473 * [taylor]: Taking taylor expansion of U in U 1.473 * [backup-simplify]: Simplify 0 into 0 1.473 * [backup-simplify]: Simplify 1 into 1 1.473 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.473 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.473 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.473 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.473 * [taylor]: Taking taylor expansion of 1/2 in U 1.473 * [backup-simplify]: Simplify 1/2 into 1/2 1.473 * [taylor]: Taking taylor expansion of K in U 1.473 * [backup-simplify]: Simplify K into K 1.473 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.473 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.473 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.473 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.473 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.474 * [backup-simplify]: Simplify (- 0) into 0 1.474 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.474 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.474 * [taylor]: Taking taylor expansion of J in U 1.474 * [backup-simplify]: Simplify J into J 1.474 * [backup-simplify]: Simplify (* 1 1) into 1 1.474 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.474 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.474 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.474 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.474 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.474 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.475 * [taylor]: Taking taylor expansion of 1/4 in K 1.475 * [backup-simplify]: Simplify 1/4 into 1/4 1.475 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.475 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.475 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.475 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.475 * [taylor]: Taking taylor expansion of 1/2 in K 1.475 * [backup-simplify]: Simplify 1/2 into 1/2 1.475 * [taylor]: Taking taylor expansion of K in K 1.475 * [backup-simplify]: Simplify 0 into 0 1.475 * [backup-simplify]: Simplify 1 into 1 1.475 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.475 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.475 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.475 * [taylor]: Taking taylor expansion of J in K 1.475 * [backup-simplify]: Simplify J into J 1.476 * [backup-simplify]: Simplify (* 1 1) into 1 1.476 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.476 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.476 * [backup-simplify]: Simplify (/ 1/4 (pow J 2)) into (/ 1/4 (pow J 2)) 1.476 * [taylor]: Taking taylor expansion of (/ 1/4 (pow J 2)) in J 1.476 * [taylor]: Taking taylor expansion of 1/4 in J 1.476 * [backup-simplify]: Simplify 1/4 into 1/4 1.476 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.476 * [taylor]: Taking taylor expansion of J in J 1.476 * [backup-simplify]: Simplify 0 into 0 1.476 * [backup-simplify]: Simplify 1 into 1 1.476 * [backup-simplify]: Simplify (* 1 1) into 1 1.476 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 1.476 * [backup-simplify]: Simplify 1/4 into 1/4 1.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.477 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.477 * [backup-simplify]: Simplify (+ 0) into 0 1.478 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.478 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.479 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.479 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.479 * [backup-simplify]: Simplify (- 0) into 0 1.480 * [backup-simplify]: Simplify (+ 0 0) into 0 1.480 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.480 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 1.481 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 1.481 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 1.481 * [taylor]: Taking taylor expansion of 0 in K 1.482 * [backup-simplify]: Simplify 0 into 0 1.482 * [taylor]: Taking taylor expansion of 0 in J 1.482 * [backup-simplify]: Simplify 0 into 0 1.482 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.482 * [backup-simplify]: Simplify (+ 0) into 0 1.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 1.484 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ 0 (pow J 2))))) into 0 1.484 * [taylor]: Taking taylor expansion of 0 in J 1.484 * [backup-simplify]: Simplify 0 into 0 1.484 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.485 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 1.485 * [backup-simplify]: Simplify 0 into 0 1.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.487 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.489 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.490 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.491 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.492 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.493 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.493 * [backup-simplify]: Simplify (- 0) into 0 1.494 * [backup-simplify]: Simplify (+ 0 0) into 0 1.494 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 1.495 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0 1.495 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 1.496 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 1.497 * [taylor]: Taking taylor expansion of 0 in K 1.497 * [backup-simplify]: Simplify 0 into 0 1.497 * [taylor]: Taking taylor expansion of 0 in J 1.497 * [backup-simplify]: Simplify 0 into 0 1.497 * [taylor]: Taking taylor expansion of 0 in J 1.497 * [backup-simplify]: Simplify 0 into 0 1.497 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.498 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 1.499 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4 1.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (pow J 2)))) into (- (* 1/4 (pow J 2))) 1.500 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* 0 (/ 0 (pow J 2))))) into (* 1/16 (/ 1 (pow J 2))) 1.500 * [taylor]: Taking taylor expansion of (* 1/16 (/ 1 (pow J 2))) in J 1.500 * [taylor]: Taking taylor expansion of 1/16 in J 1.500 * [backup-simplify]: Simplify 1/16 into 1/16 1.500 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J 1.500 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.500 * [taylor]: Taking taylor expansion of J in J 1.500 * [backup-simplify]: Simplify 0 into 0 1.500 * [backup-simplify]: Simplify 1 into 1 1.500 * [backup-simplify]: Simplify (* 1 1) into 1 1.500 * [backup-simplify]: Simplify (/ 1 1) into 1 1.500 * [backup-simplify]: Simplify (* 1/16 1) into 1/16 1.500 * [backup-simplify]: Simplify 1/16 into 1/16 1.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.502 * [backup-simplify]: Simplify 0 into 0 1.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.503 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.503 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.504 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.505 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 1.506 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.506 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.506 * [backup-simplify]: Simplify (- 0) into 0 1.507 * [backup-simplify]: Simplify (+ 0 0) into 0 1.507 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 1.508 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0 1.508 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 1.509 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) into 0 1.509 * [taylor]: Taking taylor expansion of 0 in K 1.509 * [backup-simplify]: Simplify 0 into 0 1.509 * [taylor]: Taking taylor expansion of 0 in J 1.509 * [backup-simplify]: Simplify 0 into 0 1.509 * [taylor]: Taking taylor expansion of 0 in J 1.509 * [backup-simplify]: Simplify 0 into 0 1.509 * [taylor]: Taking taylor expansion of 0 in J 1.509 * [backup-simplify]: Simplify 0 into 0 1.510 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.511 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.511 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0 1.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (* 0 (pow J 2))))) into 0 1.513 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ 0 (pow J 2))) (* 0 (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* (* 1/16 (/ 1 (pow J 2))) (/ 0 (pow J 2))))) into 0 1.513 * [taylor]: Taking taylor expansion of 0 in J 1.513 * [backup-simplify]: Simplify 0 into 0 1.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.515 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 1)) into 0 1.515 * [backup-simplify]: Simplify 0 into 0 1.515 * [backup-simplify]: Simplify 0 into 0 1.515 * [backup-simplify]: Simplify 0 into 0 1.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.516 * [backup-simplify]: Simplify 0 into 0 1.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.517 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 1.519 * [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 1.519 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.520 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 1.521 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.521 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.522 * [backup-simplify]: Simplify (- 0) into 0 1.522 * [backup-simplify]: Simplify (+ 0 0) into 0 1.523 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0 1.524 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2)))))) into 0 1.524 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 1.525 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))))) into 0 1.525 * [taylor]: Taking taylor expansion of 0 in K 1.525 * [backup-simplify]: Simplify 0 into 0 1.525 * [taylor]: Taking taylor expansion of 0 in J 1.525 * [backup-simplify]: Simplify 0 into 0 1.525 * [taylor]: Taking taylor expansion of 0 in J 1.525 * [backup-simplify]: Simplify 0 into 0 1.525 * [taylor]: Taking taylor expansion of 0 in J 1.525 * [backup-simplify]: Simplify 0 into 0 1.525 * [taylor]: Taking taylor expansion of 0 in J 1.525 * [backup-simplify]: Simplify 0 into 0 1.526 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 1.527 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.528 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 1.529 * [backup-simplify]: Simplify (+ (* 1 1/384) (+ (* 0 0) (+ (* -1/8 -1/8) (+ (* 0 0) (* 1/384 1))))) into 1/48 1.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (+ (* 0 0) (* 1/48 (pow J 2)))))) into (* 1/48 (pow J 2)) 1.531 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ (* 1/48 (pow J 2)) (pow J 2))) (* 0 (/ 0 (pow J 2))) (* (* 1/16 (/ 1 (pow J 2))) (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* 0 (/ 0 (pow J 2))))) into (* 1/96 (/ 1 (pow J 2))) 1.531 * [taylor]: Taking taylor expansion of (* 1/96 (/ 1 (pow J 2))) in J 1.531 * [taylor]: Taking taylor expansion of 1/96 in J 1.531 * [backup-simplify]: Simplify 1/96 into 1/96 1.531 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J 1.531 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.531 * [taylor]: Taking taylor expansion of J in J 1.531 * [backup-simplify]: Simplify 0 into 0 1.531 * [backup-simplify]: Simplify 1 into 1 1.531 * [backup-simplify]: Simplify (* 1 1) into 1 1.531 * [backup-simplify]: Simplify (/ 1 1) into 1 1.532 * [backup-simplify]: Simplify (* 1/96 1) into 1/96 1.532 * [backup-simplify]: Simplify 1/96 into 1/96 1.532 * [backup-simplify]: Simplify (+ (* 1/96 (pow (* (/ 1 J) (* (pow K 2) U)) 2)) (+ (* 1/16 (pow (* (/ 1 J) (* K U)) 2)) (* 1/4 (pow (* (/ 1 J) (* 1 U)) 2)))) into (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (* (pow K 4) (pow U 2)) (pow J 2))))) 1.532 * [backup-simplify]: Simplify (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1.533 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in (U K J) around 0 1.533 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 1.533 * [taylor]: Taking taylor expansion of 1/4 in J 1.533 * [backup-simplify]: Simplify 1/4 into 1/4 1.533 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 1.533 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.533 * [taylor]: Taking taylor expansion of J in J 1.533 * [backup-simplify]: Simplify 0 into 0 1.533 * [backup-simplify]: Simplify 1 into 1 1.533 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 1.533 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.533 * [taylor]: Taking taylor expansion of U in J 1.533 * [backup-simplify]: Simplify U into U 1.533 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.533 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.533 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.533 * [taylor]: Taking taylor expansion of 1/2 in J 1.533 * [backup-simplify]: Simplify 1/2 into 1/2 1.533 * [taylor]: Taking taylor expansion of K in J 1.533 * [backup-simplify]: Simplify K into K 1.533 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.533 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.533 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.533 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.533 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.533 * [backup-simplify]: Simplify (- 0) into 0 1.533 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.534 * [backup-simplify]: Simplify (* 1 1) into 1 1.534 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.534 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.534 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.534 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 1.534 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 1.534 * [taylor]: Taking taylor expansion of 1/4 in K 1.534 * [backup-simplify]: Simplify 1/4 into 1/4 1.534 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 1.534 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.534 * [taylor]: Taking taylor expansion of J in K 1.534 * [backup-simplify]: Simplify J into J 1.534 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 1.534 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.534 * [taylor]: Taking taylor expansion of U in K 1.534 * [backup-simplify]: Simplify U into U 1.534 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 1.534 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.534 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.534 * [taylor]: Taking taylor expansion of 1/2 in K 1.534 * [backup-simplify]: Simplify 1/2 into 1/2 1.534 * [taylor]: Taking taylor expansion of K in K 1.534 * [backup-simplify]: Simplify 0 into 0 1.534 * [backup-simplify]: Simplify 1 into 1 1.535 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.535 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.535 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.535 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.535 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.535 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.535 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 1.535 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.535 * [taylor]: Taking taylor expansion of 1/4 in U 1.535 * [backup-simplify]: Simplify 1/4 into 1/4 1.535 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.535 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.535 * [taylor]: Taking taylor expansion of J in U 1.535 * [backup-simplify]: Simplify J into J 1.535 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.535 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.535 * [taylor]: Taking taylor expansion of U in U 1.535 * [backup-simplify]: Simplify 0 into 0 1.535 * [backup-simplify]: Simplify 1 into 1 1.535 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.535 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.535 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.535 * [taylor]: Taking taylor expansion of 1/2 in U 1.535 * [backup-simplify]: Simplify 1/2 into 1/2 1.535 * [taylor]: Taking taylor expansion of K in U 1.535 * [backup-simplify]: Simplify K into K 1.536 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.536 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.536 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.536 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.536 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.536 * [backup-simplify]: Simplify (- 0) into 0 1.536 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.536 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.536 * [backup-simplify]: Simplify (* 1 1) into 1 1.536 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.536 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.537 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.537 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.537 * [taylor]: Taking taylor expansion of 1/4 in U 1.537 * [backup-simplify]: Simplify 1/4 into 1/4 1.537 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.537 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.537 * [taylor]: Taking taylor expansion of J in U 1.537 * [backup-simplify]: Simplify J into J 1.537 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.537 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.537 * [taylor]: Taking taylor expansion of U in U 1.537 * [backup-simplify]: Simplify 0 into 0 1.537 * [backup-simplify]: Simplify 1 into 1 1.537 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.537 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.537 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.537 * [taylor]: Taking taylor expansion of 1/2 in U 1.537 * [backup-simplify]: Simplify 1/2 into 1/2 1.537 * [taylor]: Taking taylor expansion of K in U 1.537 * [backup-simplify]: Simplify K into K 1.537 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.537 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.537 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.537 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.537 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.537 * [backup-simplify]: Simplify (- 0) into 0 1.537 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.537 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.538 * [backup-simplify]: Simplify (* 1 1) into 1 1.538 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.538 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.538 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.538 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.538 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 1.538 * [taylor]: Taking taylor expansion of 1/4 in K 1.538 * [backup-simplify]: Simplify 1/4 into 1/4 1.538 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 1.538 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.538 * [taylor]: Taking taylor expansion of J in K 1.538 * [backup-simplify]: Simplify J into J 1.538 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 1.538 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.538 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.538 * [taylor]: Taking taylor expansion of 1/2 in K 1.538 * [backup-simplify]: Simplify 1/2 into 1/2 1.538 * [taylor]: Taking taylor expansion of K in K 1.538 * [backup-simplify]: Simplify 0 into 0 1.538 * [backup-simplify]: Simplify 1 into 1 1.539 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.539 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.539 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.539 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.539 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.539 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.539 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 1.539 * [taylor]: Taking taylor expansion of 1/4 in J 1.539 * [backup-simplify]: Simplify 1/4 into 1/4 1.539 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 1.539 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.539 * [taylor]: Taking taylor expansion of J in J 1.539 * [backup-simplify]: Simplify 0 into 0 1.539 * [backup-simplify]: Simplify 1 into 1 1.539 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.539 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.539 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.539 * [taylor]: Taking taylor expansion of 1/2 in J 1.539 * [backup-simplify]: Simplify 1/2 into 1/2 1.539 * [taylor]: Taking taylor expansion of K in J 1.539 * [backup-simplify]: Simplify K into K 1.539 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.539 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.540 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.540 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.540 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.540 * [backup-simplify]: Simplify (- 0) into 0 1.540 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.540 * [backup-simplify]: Simplify (* 1 1) into 1 1.540 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.541 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 1.541 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1.541 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1.541 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.541 * [backup-simplify]: Simplify (+ 0) into 0 1.541 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.541 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.542 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.542 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.542 * [backup-simplify]: Simplify (- 0) into 0 1.543 * [backup-simplify]: Simplify (+ 0 0) into 0 1.543 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.544 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.544 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.544 * [taylor]: Taking taylor expansion of 0 in K 1.544 * [backup-simplify]: Simplify 0 into 0 1.544 * [taylor]: Taking taylor expansion of 0 in J 1.544 * [backup-simplify]: Simplify 0 into 0 1.544 * [backup-simplify]: Simplify 0 into 0 1.544 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.544 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.545 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.545 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.545 * [taylor]: Taking taylor expansion of 0 in J 1.545 * [backup-simplify]: Simplify 0 into 0 1.545 * [backup-simplify]: Simplify 0 into 0 1.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.546 * [backup-simplify]: Simplify (+ 0) into 0 1.546 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.546 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.547 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.547 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.548 * [backup-simplify]: Simplify (- 0) into 0 1.548 * [backup-simplify]: Simplify (+ 0 0) into 0 1.548 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.549 * [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 1.549 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 1.549 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.551 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.551 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.551 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.552 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.553 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.553 * [backup-simplify]: Simplify (- 0) into 0 1.554 * [backup-simplify]: Simplify (+ 0 0) into 0 1.554 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 1.556 * [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))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.557 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.557 * [taylor]: Taking taylor expansion of 0 in K 1.557 * [backup-simplify]: Simplify 0 into 0 1.557 * [taylor]: Taking taylor expansion of 0 in J 1.557 * [backup-simplify]: Simplify 0 into 0 1.557 * [backup-simplify]: Simplify 0 into 0 1.558 * [taylor]: Taking taylor expansion of 0 in J 1.558 * [backup-simplify]: Simplify 0 into 0 1.558 * [backup-simplify]: Simplify 0 into 0 1.558 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.559 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.559 * [backup-simplify]: 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 1.560 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.560 * [taylor]: Taking taylor expansion of 0 in J 1.560 * [backup-simplify]: Simplify 0 into 0 1.560 * [backup-simplify]: Simplify 0 into 0 1.561 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)) (pow (* (/ 1 J) (* 1 (/ 1 (/ 1 U)))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1.561 * [backup-simplify]: Simplify (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1.561 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in (U K J) around 0 1.561 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 1.561 * [taylor]: Taking taylor expansion of 1/4 in J 1.561 * [backup-simplify]: Simplify 1/4 into 1/4 1.561 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 1.562 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.562 * [taylor]: Taking taylor expansion of J in J 1.562 * [backup-simplify]: Simplify 0 into 0 1.562 * [backup-simplify]: Simplify 1 into 1 1.562 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 1.562 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.562 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.562 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.562 * [taylor]: Taking taylor expansion of -1/2 in J 1.562 * [backup-simplify]: Simplify -1/2 into -1/2 1.562 * [taylor]: Taking taylor expansion of K in J 1.562 * [backup-simplify]: Simplify K into K 1.562 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.562 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.562 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.562 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.562 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.563 * [backup-simplify]: Simplify (- 0) into 0 1.563 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.563 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.563 * [taylor]: Taking taylor expansion of U in J 1.563 * [backup-simplify]: Simplify U into U 1.563 * [backup-simplify]: Simplify (* 1 1) into 1 1.563 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.564 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.564 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.564 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 1.564 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 1.564 * [taylor]: Taking taylor expansion of 1/4 in K 1.564 * [backup-simplify]: Simplify 1/4 into 1/4 1.564 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 1.564 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.564 * [taylor]: Taking taylor expansion of J in K 1.564 * [backup-simplify]: Simplify J into J 1.564 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 1.564 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 1.564 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.564 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.564 * [taylor]: Taking taylor expansion of -1/2 in K 1.564 * [backup-simplify]: Simplify -1/2 into -1/2 1.564 * [taylor]: Taking taylor expansion of K in K 1.564 * [backup-simplify]: Simplify 0 into 0 1.564 * [backup-simplify]: Simplify 1 into 1 1.565 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.565 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.565 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.565 * [taylor]: Taking taylor expansion of U in K 1.565 * [backup-simplify]: Simplify U into U 1.565 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.565 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.565 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.565 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.566 * [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))) 1.566 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.566 * [taylor]: Taking taylor expansion of 1/4 in U 1.566 * [backup-simplify]: Simplify 1/4 into 1/4 1.566 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.566 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.566 * [taylor]: Taking taylor expansion of J in U 1.566 * [backup-simplify]: Simplify J into J 1.566 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.566 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.566 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.566 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.566 * [taylor]: Taking taylor expansion of -1/2 in U 1.566 * [backup-simplify]: Simplify -1/2 into -1/2 1.566 * [taylor]: Taking taylor expansion of K in U 1.566 * [backup-simplify]: Simplify K into K 1.566 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.566 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.566 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.566 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.567 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.567 * [backup-simplify]: Simplify (- 0) into 0 1.567 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.567 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.567 * [taylor]: Taking taylor expansion of U in U 1.567 * [backup-simplify]: Simplify 0 into 0 1.567 * [backup-simplify]: Simplify 1 into 1 1.567 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.567 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.568 * [backup-simplify]: Simplify (* 1 1) into 1 1.568 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.568 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.568 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.568 * [taylor]: Taking taylor expansion of 1/4 in U 1.568 * [backup-simplify]: Simplify 1/4 into 1/4 1.568 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.568 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.568 * [taylor]: Taking taylor expansion of J in U 1.568 * [backup-simplify]: Simplify J into J 1.568 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.568 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.568 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.568 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.568 * [taylor]: Taking taylor expansion of -1/2 in U 1.568 * [backup-simplify]: Simplify -1/2 into -1/2 1.568 * [taylor]: Taking taylor expansion of K in U 1.569 * [backup-simplify]: Simplify K into K 1.569 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.569 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.569 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.569 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.569 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.569 * [backup-simplify]: Simplify (- 0) into 0 1.569 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.569 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.569 * [taylor]: Taking taylor expansion of U in U 1.569 * [backup-simplify]: Simplify 0 into 0 1.570 * [backup-simplify]: Simplify 1 into 1 1.570 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.570 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.570 * [backup-simplify]: Simplify (* 1 1) into 1 1.570 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.570 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.571 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1.571 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 1.571 * [taylor]: Taking taylor expansion of 1/4 in K 1.571 * [backup-simplify]: Simplify 1/4 into 1/4 1.571 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 1.571 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.571 * [taylor]: Taking taylor expansion of J in K 1.571 * [backup-simplify]: Simplify J into J 1.571 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 1.571 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.571 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.571 * [taylor]: Taking taylor expansion of -1/2 in K 1.571 * [backup-simplify]: Simplify -1/2 into -1/2 1.571 * [taylor]: Taking taylor expansion of K in K 1.571 * [backup-simplify]: Simplify 0 into 0 1.571 * [backup-simplify]: Simplify 1 into 1 1.572 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.572 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.572 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.572 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.572 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.572 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1.572 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 1.572 * [taylor]: Taking taylor expansion of 1/4 in J 1.572 * [backup-simplify]: Simplify 1/4 into 1/4 1.572 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 1.572 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.572 * [taylor]: Taking taylor expansion of J in J 1.572 * [backup-simplify]: Simplify 0 into 0 1.572 * [backup-simplify]: Simplify 1 into 1 1.572 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.572 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.572 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.572 * [taylor]: Taking taylor expansion of -1/2 in J 1.573 * [backup-simplify]: Simplify -1/2 into -1/2 1.573 * [taylor]: Taking taylor expansion of K in J 1.573 * [backup-simplify]: Simplify K into K 1.573 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.573 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.573 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.573 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.573 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.573 * [backup-simplify]: Simplify (- 0) into 0 1.573 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.574 * [backup-simplify]: Simplify (* 1 1) into 1 1.574 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.574 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 1.574 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1.574 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1.575 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.576 * [backup-simplify]: Simplify (+ 0) into 0 1.576 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.576 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.577 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.577 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.578 * [backup-simplify]: Simplify (- 0) into 0 1.578 * [backup-simplify]: Simplify (+ 0 0) into 0 1.578 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.579 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.579 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.580 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.580 * [taylor]: Taking taylor expansion of 0 in K 1.580 * [backup-simplify]: Simplify 0 into 0 1.580 * [taylor]: Taking taylor expansion of 0 in J 1.580 * [backup-simplify]: Simplify 0 into 0 1.580 * [backup-simplify]: Simplify 0 into 0 1.580 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.580 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.581 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.581 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.581 * [taylor]: Taking taylor expansion of 0 in J 1.581 * [backup-simplify]: Simplify 0 into 0 1.582 * [backup-simplify]: Simplify 0 into 0 1.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.583 * [backup-simplify]: Simplify (+ 0) into 0 1.583 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.583 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.584 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.585 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.585 * [backup-simplify]: Simplify (- 0) into 0 1.585 * [backup-simplify]: Simplify (+ 0 0) into 0 1.585 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.586 * [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 1.586 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 1.586 * [backup-simplify]: Simplify 0 into 0 1.587 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.589 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.589 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.590 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.590 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.591 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.591 * [backup-simplify]: Simplify (- 0) into 0 1.592 * [backup-simplify]: Simplify (+ 0 0) into 0 1.592 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.593 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 1.593 * [backup-simplify]: 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 1.594 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 1.594 * [taylor]: Taking taylor expansion of 0 in K 1.594 * [backup-simplify]: Simplify 0 into 0 1.595 * [taylor]: Taking taylor expansion of 0 in J 1.595 * [backup-simplify]: Simplify 0 into 0 1.595 * [backup-simplify]: Simplify 0 into 0 1.595 * [taylor]: Taking taylor expansion of 0 in J 1.595 * [backup-simplify]: Simplify 0 into 0 1.595 * [backup-simplify]: Simplify 0 into 0 1.595 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.596 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.596 * [backup-simplify]: 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 1.597 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 1.597 * [taylor]: Taking taylor expansion of 0 in J 1.597 * [backup-simplify]: Simplify 0 into 0 1.597 * [backup-simplify]: Simplify 0 into 0 1.598 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)) (pow (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U))))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1.598 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.598 * [backup-simplify]: Simplify (* (cos (/ K 2)) J) into (* (cos (* 1/2 K)) J) 1.598 * [approximate]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in (K J) around 0 1.598 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.598 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.598 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.598 * [taylor]: Taking taylor expansion of 1/2 in J 1.598 * [backup-simplify]: Simplify 1/2 into 1/2 1.598 * [taylor]: Taking taylor expansion of K in J 1.598 * [backup-simplify]: Simplify K into K 1.598 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.598 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.598 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.598 * [taylor]: Taking taylor expansion of J in J 1.598 * [backup-simplify]: Simplify 0 into 0 1.598 * [backup-simplify]: Simplify 1 into 1 1.598 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.598 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.598 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.598 * [taylor]: Taking taylor expansion of 1/2 in K 1.599 * [backup-simplify]: Simplify 1/2 into 1/2 1.599 * [taylor]: Taking taylor expansion of K in K 1.599 * [backup-simplify]: Simplify 0 into 0 1.599 * [backup-simplify]: Simplify 1 into 1 1.599 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.600 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.600 * [taylor]: Taking taylor expansion of J in K 1.600 * [backup-simplify]: Simplify J into J 1.600 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.600 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.600 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.600 * [taylor]: Taking taylor expansion of 1/2 in K 1.600 * [backup-simplify]: Simplify 1/2 into 1/2 1.600 * [taylor]: Taking taylor expansion of K in K 1.600 * [backup-simplify]: Simplify 0 into 0 1.600 * [backup-simplify]: Simplify 1 into 1 1.600 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.601 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.601 * [taylor]: Taking taylor expansion of J in K 1.601 * [backup-simplify]: Simplify J into J 1.601 * [backup-simplify]: Simplify (* 1 J) into J 1.601 * [taylor]: Taking taylor expansion of J in J 1.601 * [backup-simplify]: Simplify 0 into 0 1.601 * [backup-simplify]: Simplify 1 into 1 1.602 * [backup-simplify]: Simplify 0 into 0 1.602 * [backup-simplify]: Simplify (+ 0) into 0 1.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 1.602 * [taylor]: Taking taylor expansion of 0 in J 1.602 * [backup-simplify]: Simplify 0 into 0 1.603 * [backup-simplify]: Simplify 0 into 0 1.603 * [backup-simplify]: Simplify 1 into 1 1.604 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 1.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 1.604 * [taylor]: Taking taylor expansion of (- (* 1/8 J)) in J 1.604 * [taylor]: Taking taylor expansion of (* 1/8 J) in J 1.604 * [taylor]: Taking taylor expansion of 1/8 in J 1.605 * [backup-simplify]: Simplify 1/8 into 1/8 1.605 * [taylor]: Taking taylor expansion of J in J 1.605 * [backup-simplify]: Simplify 0 into 0 1.605 * [backup-simplify]: Simplify 1 into 1 1.605 * [backup-simplify]: Simplify (* 1/8 0) into 0 1.605 * [backup-simplify]: Simplify (- 0) into 0 1.605 * [backup-simplify]: Simplify 0 into 0 1.606 * [backup-simplify]: Simplify 0 into 0 1.606 * [backup-simplify]: Simplify 0 into 0 1.609 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.610 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 1.612 * [taylor]: Taking taylor expansion of 0 in J 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify 0 into 0 1.613 * [backup-simplify]: Simplify (+ (* 1/8 1) (* 0 0)) into 1/8 1.613 * [backup-simplify]: Simplify (- 1/8) into -1/8 1.613 * [backup-simplify]: Simplify -1/8 into -1/8 1.613 * [backup-simplify]: Simplify 0 into 0 1.613 * [backup-simplify]: Simplify 0 into 0 1.614 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.617 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 1.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (+ (* 0 0) (* 1/384 J))))) into (* 1/384 J) 1.619 * [taylor]: Taking taylor expansion of (* 1/384 J) in J 1.619 * [taylor]: Taking taylor expansion of 1/384 in J 1.619 * [backup-simplify]: Simplify 1/384 into 1/384 1.619 * [taylor]: Taking taylor expansion of J in J 1.619 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify 1 into 1 1.619 * [backup-simplify]: Simplify (* 1/384 0) into 0 1.619 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify 0 into 0 1.620 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 1) (* 0 0))) into 0 1.621 * [backup-simplify]: Simplify (- 0) into 0 1.621 * [backup-simplify]: Simplify 0 into 0 1.621 * [backup-simplify]: Simplify 0 into 0 1.621 * [backup-simplify]: Simplify (+ (* -1/8 (* J (pow K 2))) (* 1 (* J 1))) into (- J (* 1/8 (* (pow K 2) J))) 1.621 * [backup-simplify]: Simplify (* (cos (/ (/ 1 K) 2)) (/ 1 J)) into (/ (cos (/ 1/2 K)) J) 1.621 * [approximate]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in (K J) around 0 1.621 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.621 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.621 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.621 * [taylor]: Taking taylor expansion of 1/2 in J 1.621 * [backup-simplify]: Simplify 1/2 into 1/2 1.621 * [taylor]: Taking taylor expansion of K in J 1.622 * [backup-simplify]: Simplify K into K 1.622 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.622 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.622 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.622 * [taylor]: Taking taylor expansion of J in J 1.622 * [backup-simplify]: Simplify 0 into 0 1.622 * [backup-simplify]: Simplify 1 into 1 1.622 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.622 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.622 * [backup-simplify]: Simplify (- 0) into 0 1.623 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.623 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.623 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.623 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.623 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.623 * [taylor]: Taking taylor expansion of 1/2 in K 1.623 * [backup-simplify]: Simplify 1/2 into 1/2 1.623 * [taylor]: Taking taylor expansion of K in K 1.623 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify 1 into 1 1.624 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.624 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.624 * [taylor]: Taking taylor expansion of J in K 1.624 * [backup-simplify]: Simplify J into J 1.624 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.624 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.624 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.624 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.624 * [taylor]: Taking taylor expansion of 1/2 in K 1.624 * [backup-simplify]: Simplify 1/2 into 1/2 1.624 * [taylor]: Taking taylor expansion of K in K 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify 1 into 1 1.624 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.625 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.625 * [taylor]: Taking taylor expansion of J in K 1.625 * [backup-simplify]: Simplify J into J 1.625 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.625 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.625 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.625 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.625 * [taylor]: Taking taylor expansion of 1/2 in J 1.625 * [backup-simplify]: Simplify 1/2 into 1/2 1.625 * [taylor]: Taking taylor expansion of K in J 1.625 * [backup-simplify]: Simplify K into K 1.625 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.625 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.625 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.625 * [taylor]: Taking taylor expansion of J in J 1.625 * [backup-simplify]: Simplify 0 into 0 1.625 * [backup-simplify]: Simplify 1 into 1 1.625 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.625 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.626 * [backup-simplify]: Simplify (- 0) into 0 1.626 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.626 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.626 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.626 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 1.626 * [taylor]: Taking taylor expansion of 0 in J 1.626 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify (+ 0) into 0 1.627 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.627 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.628 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.629 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.629 * [backup-simplify]: Simplify (- 0) into 0 1.629 * [backup-simplify]: Simplify (+ 0 0) into 0 1.630 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 1.630 * [backup-simplify]: Simplify 0 into 0 1.631 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.631 * [taylor]: Taking taylor expansion of 0 in J 1.631 * [backup-simplify]: Simplify 0 into 0 1.631 * [backup-simplify]: Simplify 0 into 0 1.632 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.632 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.632 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.633 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.634 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.634 * [backup-simplify]: Simplify (- 0) into 0 1.635 * [backup-simplify]: Simplify (+ 0 0) into 0 1.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.636 * [backup-simplify]: Simplify 0 into 0 1.636 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.636 * [taylor]: Taking taylor expansion of 0 in J 1.636 * [backup-simplify]: Simplify 0 into 0 1.637 * [backup-simplify]: Simplify 0 into 0 1.637 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.638 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.639 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.640 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.641 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.641 * [backup-simplify]: Simplify (- 0) into 0 1.642 * [backup-simplify]: Simplify (+ 0 0) into 0 1.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify (* (cos (/ 1/2 (/ 1 K))) (* (/ 1 (/ 1 J)) 1)) into (* (cos (* 1/2 K)) J) 1.644 * [backup-simplify]: Simplify (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))) into (* -1 (/ (cos (/ -1/2 K)) J)) 1.644 * [approximate]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in (K J) around 0 1.644 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in J 1.644 * [taylor]: Taking taylor expansion of -1 in J 1.644 * [backup-simplify]: Simplify -1 into -1 1.644 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.644 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.644 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.644 * [taylor]: Taking taylor expansion of -1/2 in J 1.644 * [backup-simplify]: Simplify -1/2 into -1/2 1.644 * [taylor]: Taking taylor expansion of K in J 1.644 * [backup-simplify]: Simplify K into K 1.645 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.645 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.645 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.645 * [taylor]: Taking taylor expansion of J in J 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [backup-simplify]: Simplify 1 into 1 1.645 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.645 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.645 * [backup-simplify]: Simplify (- 0) into 0 1.646 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.646 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.646 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in K 1.646 * [taylor]: Taking taylor expansion of -1 in K 1.646 * [backup-simplify]: Simplify -1 into -1 1.646 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.646 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.646 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.646 * [taylor]: Taking taylor expansion of -1/2 in K 1.646 * [backup-simplify]: Simplify -1/2 into -1/2 1.646 * [taylor]: Taking taylor expansion of K in K 1.646 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify 1 into 1 1.646 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.646 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.647 * [taylor]: Taking taylor expansion of J in K 1.647 * [backup-simplify]: Simplify J into J 1.647 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.647 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in K 1.647 * [taylor]: Taking taylor expansion of -1 in K 1.647 * [backup-simplify]: Simplify -1 into -1 1.647 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.647 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.647 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.647 * [taylor]: Taking taylor expansion of -1/2 in K 1.647 * [backup-simplify]: Simplify -1/2 into -1/2 1.647 * [taylor]: Taking taylor expansion of K in K 1.647 * [backup-simplify]: Simplify 0 into 0 1.647 * [backup-simplify]: Simplify 1 into 1 1.647 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.647 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.648 * [taylor]: Taking taylor expansion of J in K 1.648 * [backup-simplify]: Simplify J into J 1.648 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.648 * [backup-simplify]: Simplify (* -1 (/ (cos (/ -1/2 K)) J)) into (* -1 (/ (cos (/ -1/2 K)) J)) 1.648 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in J 1.648 * [taylor]: Taking taylor expansion of -1 in J 1.648 * [backup-simplify]: Simplify -1 into -1 1.648 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.648 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.648 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.648 * [taylor]: Taking taylor expansion of -1/2 in J 1.648 * [backup-simplify]: Simplify -1/2 into -1/2 1.648 * [taylor]: Taking taylor expansion of K in J 1.648 * [backup-simplify]: Simplify K into K 1.648 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.648 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.648 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.648 * [taylor]: Taking taylor expansion of J in J 1.648 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify 1 into 1 1.649 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.649 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.649 * [backup-simplify]: Simplify (- 0) into 0 1.649 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.649 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.649 * [backup-simplify]: Simplify (* -1 (cos (/ -1/2 K))) into (* -1 (cos (/ -1/2 K))) 1.649 * [backup-simplify]: Simplify (* -1 (cos (/ -1/2 K))) into (* -1 (cos (/ -1/2 K))) 1.650 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 1.650 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (cos (/ -1/2 K)) J))) into 0 1.650 * [taylor]: Taking taylor expansion of 0 in J 1.650 * [backup-simplify]: Simplify 0 into 0 1.651 * [backup-simplify]: Simplify (+ 0) into 0 1.651 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.651 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.652 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.653 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.653 * [backup-simplify]: Simplify (- 0) into 0 1.653 * [backup-simplify]: Simplify (+ 0 0) into 0 1.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 1.655 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (/ -1/2 K)))) into 0 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.656 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J)))) into 0 1.656 * [taylor]: Taking taylor expansion of 0 in J 1.656 * [backup-simplify]: Simplify 0 into 0 1.656 * [backup-simplify]: Simplify 0 into 0 1.657 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.658 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.658 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.659 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.659 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.660 * [backup-simplify]: Simplify (- 0) into 0 1.660 * [backup-simplify]: Simplify (+ 0 0) into 0 1.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.662 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.662 * [backup-simplify]: Simplify 0 into 0 1.663 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.664 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J))))) into 0 1.664 * [taylor]: Taking taylor expansion of 0 in J 1.664 * [backup-simplify]: Simplify 0 into 0 1.664 * [backup-simplify]: Simplify 0 into 0 1.664 * [backup-simplify]: Simplify 0 into 0 1.665 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.666 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.666 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.668 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.668 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.669 * [backup-simplify]: Simplify (- 0) into 0 1.669 * [backup-simplify]: Simplify (+ 0 0) into 0 1.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.672 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 1.672 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify (* (* -1 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (/ 1 (- J))) 1)) into (* (cos (* 1/2 K)) J) 1.673 * * * [progress]: simplifying candidates 1.673 * * * * [progress]: [ 1 / 143 ] simplifiying candidate # 1.673 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 1.673 * * [simplify]: iters left: 6 (16 enodes) 1.682 * * [simplify]: iters left: 5 (67 enodes) 1.706 * * [simplify]: iters left: 4 (143 enodes) 1.753 * * [simplify]: iters left: 3 (434 enodes) 2.069 * * [simplify]: Extracting #0: cost 1 inf + 0 2.069 * * [simplify]: Extracting #1: cost 19 inf + 0 2.069 * * [simplify]: Extracting #2: cost 31 inf + 2 2.069 * * [simplify]: Extracting #3: cost 36 inf + 44 2.070 * * [simplify]: Extracting #4: cost 142 inf + 89 2.073 * * [simplify]: Extracting #5: cost 232 inf + 4336 2.093 * * [simplify]: Extracting #6: cost 40 inf + 43927 2.127 * * [simplify]: Extracting #7: cost 2 inf + 54059 2.152 * * [simplify]: Extracting #8: cost 0 inf + 54749 2.175 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 2.175 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 1)) 2.175 * * * * [progress]: [ 2 / 143 ] simplifiying candidate # 2.176 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 2.176 * * [simplify]: iters left: 6 (16 enodes) 2.183 * * [simplify]: iters left: 5 (67 enodes) 2.196 * * [simplify]: iters left: 4 (143 enodes) 2.247 * * [simplify]: iters left: 3 (434 enodes) 2.500 * * [simplify]: Extracting #0: cost 1 inf + 0 2.500 * * [simplify]: Extracting #1: cost 19 inf + 0 2.500 * * [simplify]: Extracting #2: cost 31 inf + 2 2.500 * * [simplify]: Extracting #3: cost 36 inf + 44 2.501 * * [simplify]: Extracting #4: cost 142 inf + 89 2.505 * * [simplify]: Extracting #5: cost 232 inf + 4336 2.527 * * [simplify]: Extracting #6: cost 40 inf + 43927 2.566 * * [simplify]: Extracting #7: cost 2 inf + 54059 2.584 * * [simplify]: Extracting #8: cost 0 inf + 54749 2.609 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 2.609 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 1)) 2.609 * * * * [progress]: [ 3 / 143 ] simplifiying candidate # 2.609 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 2.610 * * [simplify]: iters left: 6 (16 enodes) 2.619 * * [simplify]: iters left: 5 (67 enodes) 2.643 * * [simplify]: iters left: 4 (143 enodes) 2.709 * * [simplify]: iters left: 3 (434 enodes) 2.999 * * [simplify]: Extracting #0: cost 1 inf + 0 2.999 * * [simplify]: Extracting #1: cost 19 inf + 0 2.999 * * [simplify]: Extracting #2: cost 31 inf + 2 2.999 * * [simplify]: Extracting #3: cost 36 inf + 44 3.000 * * [simplify]: Extracting #4: cost 142 inf + 89 3.002 * * [simplify]: Extracting #5: cost 232 inf + 4336 3.013 * * [simplify]: Extracting #6: cost 40 inf + 43927 3.042 * * [simplify]: Extracting #7: cost 2 inf + 54059 3.076 * * [simplify]: Extracting #8: cost 0 inf + 54749 3.094 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 3.094 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 1)) 3.094 * * * * [progress]: [ 4 / 143 ] simplifiying candidate # 3.094 * [simplify]: Simplifying (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)) 3.094 * * [simplify]: iters left: 6 (16 enodes) 3.099 * * [simplify]: iters left: 5 (67 enodes) 3.120 * * [simplify]: iters left: 4 (143 enodes) 3.192 * * [simplify]: iters left: 3 (434 enodes) 3.456 * * [simplify]: Extracting #0: cost 1 inf + 0 3.456 * * [simplify]: Extracting #1: cost 19 inf + 0 3.456 * * [simplify]: Extracting #2: cost 31 inf + 2 3.456 * * [simplify]: Extracting #3: cost 36 inf + 44 3.457 * * [simplify]: Extracting #4: cost 142 inf + 89 3.461 * * [simplify]: Extracting #5: cost 232 inf + 4336 3.477 * * [simplify]: Extracting #6: cost 40 inf + 43927 3.497 * * [simplify]: Extracting #7: cost 2 inf + 54059 3.523 * * [simplify]: Extracting #8: cost 0 inf + 54749 3.540 * [simplify]: Simplified to (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 3.541 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (* -2 (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cos (/ K 2)) J)) 1)) 3.541 * * * * [progress]: [ 5 / 143 ] simplifiying candidate # 3.541 * * * * [progress]: [ 6 / 143 ] simplifiying candidate # 3.541 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (+ (log (cos (/ K 2))) (log J))) 3.541 * * [simplify]: iters left: 6 (21 enodes) 3.548 * * [simplify]: iters left: 5 (83 enodes) 3.577 * * [simplify]: iters left: 4 (159 enodes) 3.638 * * [simplify]: iters left: 3 (450 enodes) 4.226 * * [simplify]: Extracting #0: cost 1 inf + 0 4.226 * * [simplify]: Extracting #1: cost 17 inf + 0 4.226 * * [simplify]: Extracting #2: cost 35 inf + 0 4.227 * * [simplify]: Extracting #3: cost 35 inf + 144 4.227 * * [simplify]: Extracting #4: cost 39 inf + 397 4.228 * * [simplify]: Extracting #5: cost 149 inf + 653 4.231 * * [simplify]: Extracting #6: cost 241 inf + 4041 4.242 * * [simplify]: Extracting #7: cost 67 inf + 41321 4.262 * * [simplify]: Extracting #8: cost 2 inf + 59818 4.280 * * [simplify]: Extracting #9: cost 0 inf + 60617 4.308 * [simplify]: Simplified to (+ (+ (log -2) (log (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (+ (log (cos (/ K 2))) (log J))) 4.308 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log -2) (log (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (+ (log (cos (/ K 2))) (log J))))) 4.308 * * * * [progress]: [ 7 / 143 ] simplifiying candidate # 4.309 * [simplify]: Simplifying (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (log (* (cos (/ K 2)) J))) 4.309 * * [simplify]: iters left: 6 (19 enodes) 4.319 * * [simplify]: iters left: 5 (77 enodes) 4.335 * * [simplify]: iters left: 4 (149 enodes) 4.373 * * [simplify]: iters left: 3 (437 enodes) 4.654 * * [simplify]: Extracting #0: cost 1 inf + 0 4.655 * * [simplify]: Extracting #1: cost 16 inf + 0 4.655 * * [simplify]: Extracting #2: cost 35 inf + 0 4.655 * * [simplify]: Extracting #3: cost 36 inf + 144 4.655 * * [simplify]: Extracting #4: cost 39 inf + 579 4.659 * * [simplify]: Extracting #5: cost 147 inf + 653 4.661 * * [simplify]: Extracting #6: cost 234 inf + 5707 4.678 * * [simplify]: Extracting #7: cost 48 inf + 45584 4.696 * * [simplify]: Extracting #8: cost 2 inf + 58533 4.714 * * [simplify]: Extracting #9: cost 0 inf + 59248 4.733 * [simplify]: Simplified to (+ (log (* (cos (/ K 2)) J)) (+ (log -2) (log (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) 4.733 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (* (cos (/ K 2)) J)) (+ (log -2) (log (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) 4.733 * * * * [progress]: [ 8 / 143 ] simplifiying candidate # 4.733 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (+ (log (cos (/ K 2))) (log J))) 4.733 * * [simplify]: iters left: 6 (20 enodes) 4.744 * * [simplify]: iters left: 5 (81 enodes) 4.767 * * [simplify]: iters left: 4 (153 enodes) 4.804 * * [simplify]: iters left: 3 (441 enodes) 5.103 * * [simplify]: Extracting #0: cost 1 inf + 0 5.104 * * [simplify]: Extracting #1: cost 16 inf + 0 5.104 * * [simplify]: Extracting #2: cost 35 inf + 0 5.104 * * [simplify]: Extracting #3: cost 38 inf + 2 5.104 * * [simplify]: Extracting #4: cost 42 inf + 144 5.104 * * [simplify]: Extracting #5: cost 145 inf + 653 5.106 * * [simplify]: Extracting #6: cost 246 inf + 3631 5.114 * * [simplify]: Extracting #7: cost 70 inf + 39778 5.133 * * [simplify]: Extracting #8: cost 2 inf + 58947 5.167 * * [simplify]: Extracting #9: cost 0 inf + 59856 5.193 * * [simplify]: Extracting #10: cost 0 inf + 59855 5.212 * [simplify]: Simplified to (+ (+ (log J) (log (cos (/ K 2)))) (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))) 5.212 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log J) (log (cos (/ K 2)))) (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))))) 5.212 * * * * [progress]: [ 9 / 143 ] simplifiying candidate # 5.212 * [simplify]: Simplifying (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (log (* (cos (/ K 2)) J))) 5.212 * * [simplify]: iters left: 6 (18 enodes) 5.218 * * [simplify]: iters left: 5 (75 enodes) 5.236 * * [simplify]: iters left: 4 (146 enodes) 5.277 * * [simplify]: iters left: 3 (432 enodes) 5.563 * * [simplify]: Extracting #0: cost 1 inf + 0 5.563 * * [simplify]: Extracting #1: cost 16 inf + 0 5.563 * * [simplify]: Extracting #2: cost 36 inf + 0 5.564 * * [simplify]: Extracting #3: cost 38 inf + 144 5.564 * * [simplify]: Extracting #4: cost 41 inf + 468 5.564 * * [simplify]: Extracting #5: cost 150 inf + 653 5.567 * * [simplify]: Extracting #6: cost 220 inf + 8356 5.580 * * [simplify]: Extracting #7: cost 49 inf + 44223 5.614 * * [simplify]: Extracting #8: cost 4 inf + 57371 5.643 * * [simplify]: Extracting #9: cost 0 inf + 59271 5.666 * [simplify]: Simplified to (+ (log (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (log (* (cos (/ K 2)) J))) 5.666 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log (* -2 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (log (* (cos (/ K 2)) J))))) 5.666 * * * * [progress]: [ 10 / 143 ] simplifiying candidate # 5.666 * * * * [progress]: [ 11 / 143 ] simplifiying candidate # 5.666 * * * * [progress]: [ 12 / 143 ] simplifiying candidate # 5.667 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))) 5.667 * * [simplify]: iters left: 6 (25 enodes) 5.681 * * [simplify]: iters left: 5 (106 enodes) 5.717 * * [simplify]: iters left: 4 (290 enodes) 5.901 * * [simplify]: Extracting #0: cost 1 inf + 0 5.901 * * [simplify]: Extracting #1: cost 60 inf + 0 5.903 * * [simplify]: Extracting #2: cost 290 inf + 4 5.906 * * [simplify]: Extracting #3: cost 386 inf + 336 5.911 * * [simplify]: Extracting #4: cost 335 inf + 25383 5.936 * * [simplify]: Extracting #5: cost 110 inf + 100606 5.985 * * [simplify]: Extracting #6: cost 6 inf + 147667 6.039 * * [simplify]: Extracting #7: cost 0 inf + 150742 6.122 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) (* (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) (* -8 (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) 6.122 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) (* (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))) (* -8 (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))))) 6.122 * * * * [progress]: [ 13 / 143 ] simplifiying candidate # 6.122 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))) 6.123 * * [simplify]: iters left: 6 (22 enodes) 6.137 * * [simplify]: iters left: 5 (100 enodes) 6.179 * * [simplify]: iters left: 4 (294 enodes) 6.408 * * [simplify]: Extracting #0: cost 1 inf + 0 6.409 * * [simplify]: Extracting #1: cost 60 inf + 0 6.410 * * [simplify]: Extracting #2: cost 296 inf + 45 6.413 * * [simplify]: Extracting #3: cost 387 inf + 838 6.426 * * [simplify]: Extracting #4: cost 321 inf + 30714 6.470 * * [simplify]: Extracting #5: cost 92 inf + 107949 6.510 * * [simplify]: Extracting #6: cost 2 inf + 149823 6.552 * * [simplify]: Extracting #7: cost 0 inf + 150712 6.602 * [simplify]: Simplified to (* (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (* -8 (* (cos (/ K 2)) J)) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) 6.602 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (* -8 (* (cos (/ K 2)) J)) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))))) 6.602 * * * * [progress]: [ 14 / 143 ] simplifiying candidate # 6.603 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))) 6.603 * * [simplify]: iters left: 6 (23 enodes) 6.610 * * [simplify]: iters left: 5 (106 enodes) 6.639 * * [simplify]: iters left: 4 (272 enodes) 6.813 * * [simplify]: Extracting #0: cost 1 inf + 0 6.814 * * [simplify]: Extracting #1: cost 52 inf + 0 6.814 * * [simplify]: Extracting #2: cost 237 inf + 2 6.815 * * [simplify]: Extracting #3: cost 242 inf + 291 6.817 * * [simplify]: Extracting #4: cost 268 inf + 3688 6.825 * * [simplify]: Extracting #5: cost 226 inf + 37118 6.877 * * [simplify]: Extracting #6: cost 18 inf + 117250 6.922 * * [simplify]: Extracting #7: cost 0 inf + 126135 6.991 * * [simplify]: Extracting #8: cost 0 inf + 126134 7.063 * [simplify]: Simplified to (* (* (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))) (* -8 (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) 7.063 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))) (* -8 (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))))) 7.063 * * * * [progress]: [ 15 / 143 ] simplifiying candidate # 7.064 * [simplify]: Simplifying (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))) 7.064 * * [simplify]: iters left: 6 (20 enodes) 7.076 * * [simplify]: iters left: 5 (100 enodes) 7.100 * * [simplify]: iters left: 4 (276 enodes) 7.236 * * [simplify]: Extracting #0: cost 1 inf + 0 7.236 * * [simplify]: Extracting #1: cost 53 inf + 0 7.237 * * [simplify]: Extracting #2: cost 239 inf + 43 7.238 * * [simplify]: Extracting #3: cost 239 inf + 415 7.239 * * [simplify]: Extracting #4: cost 270 inf + 3145 7.245 * * [simplify]: Extracting #5: cost 251 inf + 23178 7.260 * * [simplify]: Extracting #6: cost 106 inf + 68699 7.301 * * [simplify]: Extracting #7: cost 10 inf + 115190 7.349 * * [simplify]: Extracting #8: cost 0 inf + 120330 7.389 * [simplify]: Simplified to (* (* (* -8 (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 7.390 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* -8 (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) 7.390 * * * * [progress]: [ 16 / 143 ] simplifiying candidate # 7.390 * * * * [progress]: [ 17 / 143 ] simplifiying candidate # 7.390 * * * * [progress]: [ 18 / 143 ] simplifiying candidate # 7.390 * * * * [progress]: [ 19 / 143 ] simplifiying candidate # 7.390 * * * * [progress]: [ 20 / 143 ] simplifiying candidate # 7.390 * * * * [progress]: [ 21 / 143 ] simplifiying candidate # 7.391 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 7.391 * * [simplify]: iters left: 6 (13 enodes) 7.398 * * [simplify]: iters left: 5 (52 enodes) 7.417 * * [simplify]: iters left: 4 (105 enodes) 7.472 * * [simplify]: iters left: 3 (359 enodes) 7.767 * * [simplify]: Extracting #0: cost 1 inf + 0 7.767 * * [simplify]: Extracting #1: cost 3 inf + 0 7.767 * * [simplify]: Extracting #2: cost 6 inf + 0 7.768 * * [simplify]: Extracting #3: cost 118 inf + 1 7.769 * * [simplify]: Extracting #4: cost 235 inf + 336 7.771 * * [simplify]: Extracting #5: cost 193 inf + 4402 7.774 * * [simplify]: Extracting #6: cost 119 inf + 19348 7.788 * * [simplify]: Extracting #7: cost 7 inf + 46040 7.807 * * [simplify]: Extracting #8: cost 0 inf + 47488 7.827 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 7.827 * [simplify]: Simplified (2 1) to (λ (J K U) (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* -2 (* (cos (/ K 2)) J)))) 7.827 * * * * [progress]: [ 22 / 143 ] simplifiying candidate # 7.828 * [simplify]: Simplifying (* (* (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) -2) (* (cos (/ K 2)) J)) 7.828 * * [simplify]: iters left: 6 (19 enodes) 7.840 * * [simplify]: iters left: 5 (85 enodes) 7.867 * * [simplify]: iters left: 4 (216 enodes) 7.979 * * [simplify]: Extracting #0: cost 1 inf + 0 7.979 * * [simplify]: Extracting #1: cost 16 inf + 0 7.979 * * [simplify]: Extracting #2: cost 27 inf + 44 7.980 * * [simplify]: Extracting #3: cost 32 inf + 86 7.980 * * [simplify]: Extracting #4: cost 125 inf + 89 7.985 * * [simplify]: Extracting #5: cost 329 inf + 858 7.993 * * [simplify]: Extracting #6: cost 272 inf + 29285 8.010 * * [simplify]: Extracting #7: cost 76 inf + 96357 8.047 * * [simplify]: Extracting #8: cost 1 inf + 124961 8.082 * * [simplify]: Extracting #9: cost 0 inf + 125265 8.126 * [simplify]: Simplified to (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) 8.126 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (* (sqrt (+ 1 (* (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))))) (* (cos (/ K 2)) J)) -2) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) 8.127 * * * * [progress]: [ 23 / 143 ] simplifiying candidate # 8.127 * [simplify]: Simplifying (* (* (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) -2) (* (cos (/ K 2)) J)) 8.127 * * [simplify]: iters left: 6 (18 enodes) 8.133 * * [simplify]: iters left: 5 (77 enodes) 8.149 * * [simplify]: iters left: 4 (190 enodes) 8.299 * * [simplify]: Extracting #0: cost 1 inf + 0 8.299 * * [simplify]: Extracting #1: cost 16 inf + 0 8.300 * * [simplify]: Extracting #2: cost 28 inf + 2 8.300 * * [simplify]: Extracting #3: cost 35 inf + 86 8.300 * * [simplify]: Extracting #4: cost 122 inf + 90 8.301 * * [simplify]: Extracting #5: cost 296 inf + 1624 8.310 * * [simplify]: Extracting #6: cost 126 inf + 54777 8.336 * * [simplify]: Extracting #7: cost 1 inf + 93095 8.377 * * [simplify]: Extracting #8: cost 0 inf + 93560 8.419 * [simplify]: Simplified to (* (* -2 (* (cos (/ K 2)) J)) (sqrt (- (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1))) 8.419 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (* -2 (* (cos (/ K 2)) J)) (sqrt (- (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 1))) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 8.419 * * * * [progress]: [ 24 / 143 ] simplifiying candidate #real (real->posit16 (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J)))))> 8.420 * * * * [progress]: [ 25 / 143 ] simplifiying candidate # 8.420 * * * * [progress]: [ 26 / 143 ] simplifiying candidate # 8.420 * * * * [progress]: [ 27 / 143 ] simplifiying candidate # 8.420 * * * * [progress]: [ 28 / 143 ] simplifiying candidate # 8.420 * * * * [progress]: [ 29 / 143 ] simplifiying candidate # 8.420 * * * * [progress]: [ 30 / 143 ] simplifiying candidate # 8.420 * * * * [progress]: [ 31 / 143 ] simplifiying candidate # 8.420 * * * * [progress]: [ 32 / 143 ] simplifiying candidate # 8.420 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 8.421 * * [simplify]: iters left: 6 (15 enodes) 8.429 * * [simplify]: iters left: 5 (59 enodes) 8.449 * * [simplify]: iters left: 4 (112 enodes) 8.485 * * [simplify]: iters left: 3 (365 enodes) 8.712 * * [simplify]: Extracting #0: cost 1 inf + 0 8.712 * * [simplify]: Extracting #1: cost 4 inf + 0 8.712 * * [simplify]: Extracting #2: cost 7 inf + 0 8.712 * * [simplify]: Extracting #3: cost 10 inf + 0 8.712 * * [simplify]: Extracting #4: cost 122 inf + 1 8.714 * * [simplify]: Extracting #5: cost 241 inf + 89 8.715 * * [simplify]: Extracting #6: cost 203 inf + 3666 8.719 * * [simplify]: Extracting #7: cost 128 inf + 17960 8.731 * * [simplify]: Extracting #8: cost 13 inf + 45848 8.747 * * [simplify]: Extracting #9: cost 0 inf + 48961 8.775 * [simplify]: Simplified to (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) 8.775 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (sqrt (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J))) 8.775 * * * * [progress]: [ 33 / 143 ] simplifiying candidate # 8.776 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) 8.776 * * [simplify]: iters left: 6 (14 enodes) 8.783 * * [simplify]: iters left: 5 (55 enodes) 8.793 * * [simplify]: iters left: 4 (108 enodes) 8.820 * * [simplify]: iters left: 3 (363 enodes) 9.071 * * [simplify]: Extracting #0: cost 1 inf + 0 9.071 * * [simplify]: Extracting #1: cost 3 inf + 0 9.071 * * [simplify]: Extracting #2: cost 5 inf + 0 9.071 * * [simplify]: Extracting #3: cost 8 inf + 0 9.072 * * [simplify]: Extracting #4: cost 123 inf + 1 9.073 * * [simplify]: Extracting #5: cost 234 inf + 420 9.075 * * [simplify]: Extracting #6: cost 203 inf + 3175 9.083 * * [simplify]: Extracting #7: cost 127 inf + 18949 9.103 * * [simplify]: Extracting #8: cost 7 inf + 46860 9.118 * * [simplify]: Extracting #9: cost 0 inf + 48232 9.148 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 9.148 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J))) 9.148 * * * * [progress]: [ 34 / 143 ] simplifiying candidate # 9.149 * [simplify]: Simplifying (sqrt 1) 9.149 * * [simplify]: iters left: 1 (2 enodes) 9.152 * * [simplify]: Extracting #0: cost 1 inf + 0 9.152 * * [simplify]: Extracting #1: cost 0 inf + 1 9.152 * [simplify]: Simplified to 1 9.152 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* 1 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (cos (/ K 2)) J))) 9.152 * * * * [progress]: [ 35 / 143 ] simplifiying candidate # 9.153 * [simplify]: Simplifying (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) 9.153 * * [simplify]: iters left: 6 (16 enodes) 9.163 * * [simplify]: iters left: 5 (70 enodes) 9.192 * * [simplify]: iters left: 4 (176 enodes) 9.328 * * [simplify]: Extracting #0: cost 1 inf + 0 9.328 * * [simplify]: Extracting #1: cost 3 inf + 0 9.328 * * [simplify]: Extracting #2: cost 6 inf + 0 9.328 * * [simplify]: Extracting #3: cost 103 inf + 1 9.329 * * [simplify]: Extracting #4: cost 306 inf + 6 9.330 * * [simplify]: Extracting #5: cost 338 inf + 1810 9.335 * * [simplify]: Extracting #6: cost 242 inf + 27932 9.366 * * [simplify]: Extracting #7: cost 28 inf + 100762 9.390 * * [simplify]: Extracting #8: cost 0 inf + 110036 9.430 * [simplify]: Simplified to (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))))))) 9.430 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (/ (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 (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) -2) (* (cos (/ K 2)) J))) 9.430 * * * * [progress]: [ 36 / 143 ] simplifiying candidate # 9.430 * [simplify]: Simplifying (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) 9.431 * * [simplify]: iters left: 6 (15 enodes) 9.437 * * [simplify]: iters left: 5 (62 enodes) 9.450 * * [simplify]: iters left: 4 (150 enodes) 9.540 * * [simplify]: Extracting #0: cost 1 inf + 0 9.540 * * [simplify]: Extracting #1: cost 3 inf + 0 9.540 * * [simplify]: Extracting #2: cost 9 inf + 0 9.540 * * [simplify]: Extracting #3: cost 105 inf + 2 9.541 * * [simplify]: Extracting #4: cost 286 inf + 6 9.544 * * [simplify]: Extracting #5: cost 280 inf + 1923 9.552 * * [simplify]: Extracting #6: cost 191 inf + 25190 9.570 * * [simplify]: Extracting #7: cost 26 inf + 76271 9.599 * * [simplify]: Extracting #8: cost 0 inf + 85028 9.639 * [simplify]: Simplified to (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) 9.639 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (/ (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (* (cos (/ K 2)) J))) 9.639 * * * * [progress]: [ 37 / 143 ] simplifiying candidate # 9.639 * [simplify]: Simplifying (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 9.640 * * [simplify]: iters left: 6 (12 enodes) 9.647 * * [simplify]: iters left: 5 (49 enodes) 9.665 * * [simplify]: iters left: 4 (102 enodes) 9.713 * * [simplify]: iters left: 3 (356 enodes) 9.962 * * [simplify]: Extracting #0: cost 1 inf + 0 9.962 * * [simplify]: Extracting #1: cost 4 inf + 0 9.963 * * [simplify]: Extracting #2: cost 116 inf + 1 9.965 * * [simplify]: Extracting #3: cost 234 inf + 254 9.969 * * [simplify]: Extracting #4: cost 192 inf + 4198 9.976 * * [simplify]: Extracting #5: cost 121 inf + 19235 9.992 * * [simplify]: Extracting #6: cost 5 inf + 46310 10.011 * * [simplify]: Extracting #7: cost 0 inf + 47117 10.041 * * [simplify]: Extracting #8: cost 0 inf + 46998 10.070 * [simplify]: Simplified to (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 10.070 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (pow (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (/ 1 2)) -2) (* (cos (/ K 2)) J))) 10.070 * * * * [progress]: [ 38 / 143 ] simplifiying candidate # 10.070 * * * * [progress]: [ 39 / 143 ] simplifiying candidate # 10.071 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 10.071 * * [simplify]: iters left: 6 (13 enodes) 10.078 * * [simplify]: iters left: 5 (52 enodes) 10.089 * * [simplify]: iters left: 4 (105 enodes) 10.125 * * [simplify]: iters left: 3 (359 enodes) 10.459 * * [simplify]: Extracting #0: cost 1 inf + 0 10.459 * * [simplify]: Extracting #1: cost 3 inf + 0 10.459 * * [simplify]: Extracting #2: cost 6 inf + 0 10.459 * * [simplify]: Extracting #3: cost 118 inf + 1 10.461 * * [simplify]: Extracting #4: cost 235 inf + 336 10.465 * * [simplify]: Extracting #5: cost 193 inf + 4402 10.473 * * [simplify]: Extracting #6: cost 119 inf + 19348 10.489 * * [simplify]: Extracting #7: cost 7 inf + 46040 10.504 * * [simplify]: Extracting #8: cost 0 inf + 47488 10.532 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 10.532 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (fabs (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -2) (* (cos (/ K 2)) J))) 10.533 * * * * [progress]: [ 40 / 143 ] simplifiying candidate # 10.533 * * * * [progress]: [ 41 / 143 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (* (cos (/ K 2)) J)))> 10.533 * * * * [progress]: [ 42 / 143 ] simplifiying candidate # 10.533 * [simplify]: Simplifying (/ U (* 2 (* (cos (/ K 2)) J))) 10.533 * * [simplify]: iters left: 6 (9 enodes) 10.538 * * [simplify]: iters left: 5 (33 enodes) 10.547 * * [simplify]: iters left: 4 (51 enodes) 10.555 * * [simplify]: iters left: 3 (68 enodes) 10.564 * * [simplify]: iters left: 2 (73 enodes) 10.572 * * [simplify]: Extracting #0: cost 1 inf + 0 10.572 * * [simplify]: Extracting #1: cost 12 inf + 0 10.573 * * [simplify]: Extracting #2: cost 21 inf + 3 10.573 * * [simplify]: Extracting #3: cost 21 inf + 337 10.573 * * [simplify]: Extracting #4: cost 12 inf + 1158 10.574 * * [simplify]: Extracting #5: cost 0 inf + 3114 10.574 * [simplify]: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) 10.575 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (pow (/ (/ U (* J 2)) (cos (/ K 2))) (+ 1 1)) 1)) -2) (* (cos (/ K 2)) J))) 10.575 * [simplify]: Simplifying (+ 1 1) 10.575 * * [simplify]: iters left: 2 (2 enodes) 10.578 * * [simplify]: iters left: 1 (9 enodes) 10.581 * * [simplify]: Extracting #0: cost 1 inf + 0 10.581 * * [simplify]: Extracting #1: cost 0 inf + 1 10.581 * [simplify]: Simplified to 2 10.581 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (pow (/ U (* 2 (* (cos (/ K 2)) J))) 2) 1)) -2) (* (cos (/ K 2)) J))) 10.581 * * * * [progress]: [ 43 / 143 ] simplifiying candidate # 10.581 * [simplify]: Simplifying (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 10.581 * * [simplify]: iters left: 6 (10 enodes) 10.586 * * [simplify]: iters left: 5 (40 enodes) 10.601 * * [simplify]: iters left: 4 (91 enodes) 10.651 * * [simplify]: iters left: 3 (345 enodes) 10.898 * * [simplify]: Extracting #0: cost 1 inf + 0 10.898 * * [simplify]: Extracting #1: cost 119 inf + 0 10.901 * * [simplify]: Extracting #2: cost 236 inf + 45 10.904 * * [simplify]: Extracting #3: cost 207 inf + 2474 10.914 * * [simplify]: Extracting #4: cost 104 inf + 22392 10.937 * * [simplify]: Extracting #5: cost 6 inf + 45410 10.952 * * [simplify]: Extracting #6: cost 0 inf + 46788 10.969 * * [simplify]: Extracting #7: cost 0 inf + 46787 11.001 * [simplify]: Simplified to (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 11.001 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (pow (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 1) 1)) -2) (* (cos (/ K 2)) J))) 11.001 * * * * [progress]: [ 44 / 143 ] simplifiying candidate # 11.001 * * * * [progress]: [ 45 / 143 ] simplifiying candidate # 11.002 * [simplify]: Simplifying (/ U (* 2 (* (cos (/ K 2)) J))) 11.002 * * [simplify]: iters left: 6 (9 enodes) 11.006 * * [simplify]: iters left: 5 (33 enodes) 11.017 * * [simplify]: iters left: 4 (51 enodes) 11.032 * * [simplify]: iters left: 3 (68 enodes) 11.046 * * [simplify]: iters left: 2 (73 enodes) 11.056 * * [simplify]: Extracting #0: cost 1 inf + 0 11.056 * * [simplify]: Extracting #1: cost 12 inf + 0 11.056 * * [simplify]: Extracting #2: cost 21 inf + 3 11.056 * * [simplify]: Extracting #3: cost 21 inf + 337 11.056 * * [simplify]: Extracting #4: cost 12 inf + 1158 11.057 * * [simplify]: Extracting #5: cost 0 inf + 3114 11.057 * [simplify]: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) 11.057 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (pow (/ (/ U (* J 2)) (cos (/ K 2))) (+ 1 1)) 1)) -2) (* (cos (/ K 2)) J))) 11.057 * * * * [progress]: [ 46 / 143 ] simplifiying candidate # 11.058 * * * * [progress]: [ 47 / 143 ] simplifiying candidate # 11.058 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))) 11.058 * * [simplify]: iters left: 6 (14 enodes) 11.062 * * [simplify]: iters left: 5 (54 enodes) 11.076 * * [simplify]: iters left: 4 (119 enodes) 11.117 * * [simplify]: iters left: 3 (457 enodes) 11.748 * * [simplify]: Extracting #0: cost 1 inf + 0 11.748 * * [simplify]: Extracting #1: cost 87 inf + 0 11.752 * * [simplify]: Extracting #2: cost 441 inf + 0 11.757 * * [simplify]: Extracting #3: cost 435 inf + 3488 11.766 * * [simplify]: Extracting #4: cost 350 inf + 25733 11.797 * * [simplify]: Extracting #5: cost 181 inf + 99937 11.839 * * [simplify]: Extracting #6: cost 13 inf + 179498 11.891 * * [simplify]: Extracting #7: cost 0 inf + 185853 11.971 * [simplify]: Simplified to (+ (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))) (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2)))))) 11.971 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))) (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J))) 11.972 * * * * [progress]: [ 48 / 143 ] simplifiying candidate # 11.972 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))) 11.972 * * [simplify]: iters left: 6 (18 enodes) 11.982 * * [simplify]: iters left: 5 (62 enodes) 12.003 * * [simplify]: iters left: 4 (132 enodes) 12.068 * * [simplify]: iters left: 3 (478 enodes) 12.573 * * [simplify]: Extracting #0: cost 1 inf + 0 12.573 * * [simplify]: Extracting #1: cost 82 inf + 0 12.576 * * [simplify]: Extracting #2: cost 445 inf + 0 12.587 * * [simplify]: Extracting #3: cost 428 inf + 6272 12.595 * * [simplify]: Extracting #4: cost 350 inf + 27083 12.620 * * [simplify]: Extracting #5: cost 195 inf + 92277 12.682 * * [simplify]: Extracting #6: cost 8 inf + 176798 12.736 * * [simplify]: Extracting #7: cost 0 inf + 179724 12.813 * [simplify]: Simplified to (+ (- (- (log U) (log 2)) (log (* (cos (/ K 2)) J))) (- (- (log U) (log 2)) (log (* (cos (/ K 2)) J)))) 12.814 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (- (log U) (log 2)) (log (* (cos (/ K 2)) J))) (- (- (log U) (log 2)) (log (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 12.814 * * * * [progress]: [ 49 / 143 ] simplifiying candidate # 12.814 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 12.814 * * [simplify]: iters left: 6 (18 enodes) 12.824 * * [simplify]: iters left: 5 (75 enodes) 12.837 * * [simplify]: iters left: 4 (150 enodes) 12.891 * * [simplify]: iters left: 3 (441 enodes) 13.283 * * [simplify]: Extracting #0: cost 1 inf + 0 13.283 * * [simplify]: Extracting #1: cost 83 inf + 0 13.285 * * [simplify]: Extracting #2: cost 392 inf + 0 13.288 * * [simplify]: Extracting #3: cost 353 inf + 11476 13.292 * * [simplify]: Extracting #4: cost 305 inf + 24860 13.310 * * [simplify]: Extracting #5: cost 144 inf + 93825 13.365 * * [simplify]: Extracting #6: cost 4 inf + 152810 13.408 * * [simplify]: Extracting #7: cost 0 inf + 148235 13.449 * * [simplify]: Extracting #8: cost 0 inf + 147415 13.499 * [simplify]: Simplified to (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 13.499 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J))) 13.499 * * * * [progress]: [ 50 / 143 ] simplifiying candidate # 13.499 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (log (/ U (* 2 (* (cos (/ K 2)) J))))) 13.500 * * [simplify]: iters left: 6 (18 enodes) 13.509 * * [simplify]: iters left: 5 (73 enodes) 13.532 * * [simplify]: iters left: 4 (158 enodes) 13.575 * * [simplify]: iters left: 3 (401 enodes) 13.821 * * [simplify]: Extracting #0: cost 1 inf + 0 13.822 * * [simplify]: Extracting #1: cost 75 inf + 0 13.823 * * [simplify]: Extracting #2: cost 294 inf + 0 13.826 * * [simplify]: Extracting #3: cost 333 inf + 1095 13.831 * * [simplify]: Extracting #4: cost 297 inf + 8726 13.842 * * [simplify]: Extracting #5: cost 207 inf + 35649 13.886 * * [simplify]: Extracting #6: cost 32 inf + 113007 13.933 * * [simplify]: Extracting #7: cost 3 inf + 120686 13.962 * * [simplify]: Extracting #8: cost 0 inf + 119948 13.995 * * [simplify]: Extracting #9: cost 0 inf + 119908 14.030 * [simplify]: Simplified to (+ (log (/ (/ (/ U J) 2) (cos (/ K 2)))) (log (/ (/ (/ U J) 2) (cos (/ K 2))))) 14.030 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (log (/ (/ (/ U J) 2) (cos (/ K 2)))) (log (/ (/ (/ U J) 2) (cos (/ K 2)))))) 1)) -2) (* (cos (/ K 2)) J))) 14.031 * * * * [progress]: [ 51 / 143 ] simplifiying candidate # 14.031 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))) 14.031 * * [simplify]: iters left: 6 (18 enodes) 14.040 * * [simplify]: iters left: 5 (63 enodes) 14.051 * * [simplify]: iters left: 4 (128 enodes) 14.091 * * [simplify]: iters left: 3 (467 enodes) 14.554 * * [simplify]: Extracting #0: cost 1 inf + 0 14.554 * * [simplify]: Extracting #1: cost 87 inf + 0 14.555 * * [simplify]: Extracting #2: cost 459 inf + 0 14.558 * * [simplify]: Extracting #3: cost 444 inf + 6063 14.563 * * [simplify]: Extracting #4: cost 367 inf + 26781 14.591 * * [simplify]: Extracting #5: cost 208 inf + 91682 14.663 * * [simplify]: Extracting #6: cost 16 inf + 181307 14.720 * * [simplify]: Extracting #7: cost 0 inf + 189267 14.803 * [simplify]: Simplified to (+ (- (- (log U) (log (* J (cos (/ K 2))))) (log 2)) (- (- (log U) (log (* J (cos (/ K 2))))) (log 2))) 14.803 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (- (log U) (log (* J (cos (/ K 2))))) (log 2)) (- (- (log U) (log (* J (cos (/ K 2))))) (log 2)))) 1)) -2) (* (cos (/ K 2)) J))) 14.804 * * * * [progress]: [ 52 / 143 ] simplifiying candidate # 14.804 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))) 14.804 * * [simplify]: iters left: 6 (13 enodes) 14.812 * * [simplify]: iters left: 5 (52 enodes) 14.830 * * [simplify]: iters left: 4 (107 enodes) 14.884 * * [simplify]: iters left: 3 (365 enodes) 15.223 * * [simplify]: Extracting #0: cost 1 inf + 0 15.224 * * [simplify]: Extracting #1: cost 73 inf + 0 15.225 * * [simplify]: Extracting #2: cost 366 inf + 0 15.227 * * [simplify]: Extracting #3: cost 356 inf + 3306 15.230 * * [simplify]: Extracting #4: cost 311 inf + 14304 15.238 * * [simplify]: Extracting #5: cost 182 inf + 63744 15.290 * * [simplify]: Extracting #6: cost 3 inf + 143874 15.355 * * [simplify]: Extracting #7: cost 0 inf + 144974 15.394 * [simplify]: Simplified to (+ (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))) (- (- (log U) (log 2)) (log (* J (cos (/ K 2)))))) 15.394 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))) (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J))) 15.394 * * * * [progress]: [ 53 / 143 ] simplifiying candidate # 15.395 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 15.395 * * [simplify]: iters left: 6 (16 enodes) 15.400 * * [simplify]: iters left: 5 (63 enodes) 15.411 * * [simplify]: iters left: 4 (135 enodes) 15.444 * * [simplify]: iters left: 3 (409 enodes) 15.792 * * [simplify]: Extracting #0: cost 1 inf + 0 15.792 * * [simplify]: Extracting #1: cost 70 inf + 0 15.793 * * [simplify]: Extracting #2: cost 384 inf + 0 15.796 * * [simplify]: Extracting #3: cost 371 inf + 5484 15.799 * * [simplify]: Extracting #4: cost 306 inf + 22123 15.810 * * [simplify]: Extracting #5: cost 174 inf + 73482 15.838 * * [simplify]: Extracting #6: cost 9 inf + 144143 15.872 * * [simplify]: Extracting #7: cost 0 inf + 144938 15.917 * * [simplify]: Extracting #8: cost 0 inf + 144748 15.956 * [simplify]: Simplified to (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2)))))) 15.956 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J))) 15.956 * * * * [progress]: [ 54 / 143 ] simplifiying candidate # 15.957 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (log (/ U (* 2 (* (cos (/ K 2)) J))))) 15.957 * * [simplify]: iters left: 6 (16 enodes) 15.961 * * [simplify]: iters left: 5 (67 enodes) 15.973 * * [simplify]: iters left: 4 (136 enodes) 16.002 * * [simplify]: iters left: 3 (364 enodes) 16.192 * * [simplify]: Extracting #0: cost 1 inf + 0 16.192 * * [simplify]: Extracting #1: cost 62 inf + 0 16.193 * * [simplify]: Extracting #2: cost 325 inf + 0 16.195 * * [simplify]: Extracting #3: cost 344 inf + 4236 16.198 * * [simplify]: Extracting #4: cost 302 inf + 14346 16.206 * * [simplify]: Extracting #5: cost 171 inf + 62575 16.252 * * [simplify]: Extracting #6: cost 9 inf + 127185 16.278 * * [simplify]: Extracting #7: cost 0 inf + 124566 16.326 * * [simplify]: Extracting #8: cost 0 inf + 124346 16.351 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* J (cos (/ K 2))))) (log (/ (/ U 2) (* J (cos (/ K 2)))))) 16.351 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* J (cos (/ K 2))))) (log (/ (/ U 2) (* J (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J))) 16.351 * * * * [progress]: [ 55 / 143 ] simplifiying candidate # 16.352 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))) 16.352 * * [simplify]: iters left: 6 (18 enodes) 16.358 * * [simplify]: iters left: 5 (75 enodes) 16.384 * * [simplify]: iters left: 4 (153 enodes) 16.435 * * [simplify]: iters left: 3 (475 enodes) 16.926 * * [simplify]: Extracting #0: cost 1 inf + 0 16.926 * * [simplify]: Extracting #1: cost 84 inf + 0 16.928 * * [simplify]: Extracting #2: cost 434 inf + 0 16.930 * * [simplify]: Extracting #3: cost 400 inf + 11081 16.935 * * [simplify]: Extracting #4: cost 349 inf + 23822 16.952 * * [simplify]: Extracting #5: cost 211 inf + 78498 17.016 * * [simplify]: Extracting #6: cost 13 inf + 162504 17.062 * * [simplify]: Extracting #7: cost 0 inf + 165480 17.138 * * [simplify]: Extracting #8: cost 0 inf + 165120 17.212 * [simplify]: Simplified to (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2)))))) 17.212 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J))) 17.212 * * * * [progress]: [ 56 / 143 ] simplifiying candidate # 17.213 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))) 17.213 * * [simplify]: iters left: 6 (16 enodes) 17.221 * * [simplify]: iters left: 5 (63 enodes) 17.235 * * [simplify]: iters left: 4 (131 enodes) 17.271 * * [simplify]: iters left: 3 (400 enodes) 17.672 * * [simplify]: Extracting #0: cost 1 inf + 0 17.672 * * [simplify]: Extracting #1: cost 73 inf + 0 17.674 * * [simplify]: Extracting #2: cost 360 inf + 0 17.675 * * [simplify]: Extracting #3: cost 368 inf + 1570 17.679 * * [simplify]: Extracting #4: cost 284 inf + 22316 17.688 * * [simplify]: Extracting #5: cost 181 inf + 60735 17.739 * * [simplify]: Extracting #6: cost 16 inf + 128257 17.773 * * [simplify]: Extracting #7: cost 0 inf + 132824 17.828 * * [simplify]: Extracting #8: cost 0 inf + 132754 17.872 * [simplify]: Simplified to (+ (- (log U) (log (* (* (cos (/ K 2)) J) 2))) (- (log U) (log (* (* (cos (/ K 2)) J) 2)))) 17.872 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (log (* (* (cos (/ K 2)) J) 2))) (- (log U) (log (* (* (cos (/ K 2)) J) 2))))) 1)) -2) (* (cos (/ K 2)) J))) 17.872 * * * * [progress]: [ 57 / 143 ] simplifiying candidate # 17.872 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 17.872 * * [simplify]: iters left: 6 (12 enodes) 17.876 * * [simplify]: iters left: 5 (49 enodes) 17.885 * * [simplify]: iters left: 4 (96 enodes) 17.911 * * [simplify]: iters left: 3 (241 enodes) 18.039 * * [simplify]: Extracting #0: cost 1 inf + 0 18.039 * * [simplify]: Extracting #1: cost 49 inf + 0 18.041 * * [simplify]: Extracting #2: cost 251 inf + 0 18.043 * * [simplify]: Extracting #3: cost 249 inf + 1539 18.046 * * [simplify]: Extracting #4: cost 212 inf + 9334 18.050 * * [simplify]: Extracting #5: cost 194 inf + 13677 18.056 * * [simplify]: Extracting #6: cost 164 inf + 24866 18.080 * * [simplify]: Extracting #7: cost 45 inf + 75345 18.116 * * [simplify]: Extracting #8: cost 2 inf + 93245 18.152 * * [simplify]: Extracting #9: cost 0 inf + 93841 18.175 * [simplify]: Simplified to (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2)))))) 18.175 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J))) 18.175 * * * * [progress]: [ 58 / 143 ] simplifiying candidate # 18.176 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (log (/ U (* 2 (* (cos (/ K 2)) J))))) 18.176 * * [simplify]: iters left: 6 (14 enodes) 18.180 * * [simplify]: iters left: 5 (54 enodes) 18.189 * * [simplify]: iters left: 4 (109 enodes) 18.215 * * [simplify]: iters left: 3 (265 enodes) 18.360 * * [simplify]: Extracting #0: cost 1 inf + 0 18.360 * * [simplify]: Extracting #1: cost 49 inf + 0 18.365 * * [simplify]: Extracting #2: cost 242 inf + 0 18.368 * * [simplify]: Extracting #3: cost 259 inf + 523 18.371 * * [simplify]: Extracting #4: cost 212 inf + 10345 18.378 * * [simplify]: Extracting #5: cost 159 inf + 24153 18.406 * * [simplify]: Extracting #6: cost 18 inf + 79713 18.427 * * [simplify]: Extracting #7: cost 0 inf + 86997 18.445 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 18.445 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 18.445 * * * * [progress]: [ 59 / 143 ] simplifiying candidate # 18.446 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))) 18.446 * * [simplify]: iters left: 6 (18 enodes) 18.453 * * [simplify]: iters left: 5 (73 enodes) 18.466 * * [simplify]: iters left: 4 (156 enodes) 18.518 * * [simplify]: iters left: 3 (366 enodes) 18.728 * * [simplify]: Extracting #0: cost 1 inf + 0 18.728 * * [simplify]: Extracting #1: cost 81 inf + 0 18.730 * * [simplify]: Extracting #2: cost 315 inf + 0 18.733 * * [simplify]: Extracting #3: cost 336 inf + 1721 18.737 * * [simplify]: Extracting #4: cost 282 inf + 12964 18.745 * * [simplify]: Extracting #5: cost 226 inf + 27763 18.780 * * [simplify]: Extracting #6: cost 44 inf + 102658 18.827 * * [simplify]: Extracting #7: cost 0 inf + 118994 18.852 * * [simplify]: Extracting #8: cost 0 inf + 118854 18.877 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 18.877 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 18.877 * * * * [progress]: [ 60 / 143 ] simplifiying candidate # 18.877 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))) 18.878 * * [simplify]: iters left: 6 (16 enodes) 18.886 * * [simplify]: iters left: 5 (67 enodes) 18.907 * * [simplify]: iters left: 4 (134 enodes) 18.943 * * [simplify]: iters left: 3 (341 enodes) 19.150 * * [simplify]: Extracting #0: cost 1 inf + 0 19.151 * * [simplify]: Extracting #1: cost 69 inf + 0 19.152 * * [simplify]: Extracting #2: cost 344 inf + 0 19.154 * * [simplify]: Extracting #3: cost 365 inf + 1843 19.156 * * [simplify]: Extracting #4: cost 320 inf + 11850 19.166 * * [simplify]: Extracting #5: cost 166 inf + 66434 19.208 * * [simplify]: Extracting #6: cost 7 inf + 128209 19.235 * * [simplify]: Extracting #7: cost 0 inf + 129716 19.287 * * [simplify]: Extracting #8: cost 0 inf + 129576 19.340 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 19.340 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 19.340 * * * * [progress]: [ 61 / 143 ] simplifiying candidate # 19.341 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 19.341 * * [simplify]: iters left: 6 (14 enodes) 19.348 * * [simplify]: iters left: 5 (54 enodes) 19.366 * * [simplify]: iters left: 4 (106 enodes) 19.389 * * [simplify]: iters left: 3 (231 enodes) 19.465 * * [simplify]: Extracting #0: cost 1 inf + 0 19.465 * * [simplify]: Extracting #1: cost 64 inf + 0 19.465 * * [simplify]: Extracting #2: cost 246 inf + 0 19.466 * * [simplify]: Extracting #3: cost 259 inf + 560 19.469 * * [simplify]: Extracting #4: cost 218 inf + 8763 19.477 * * [simplify]: Extracting #5: cost 148 inf + 29077 19.493 * * [simplify]: Extracting #6: cost 27 inf + 76331 19.509 * * [simplify]: Extracting #7: cost 0 inf + 87431 19.527 * * [simplify]: Extracting #8: cost 0 inf + 87391 19.548 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 19.548 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 19.548 * * * * [progress]: [ 62 / 143 ] simplifiying candidate # 19.548 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (log (/ U (* 2 (* (cos (/ K 2)) J))))) 19.549 * * [simplify]: iters left: 6 (11 enodes) 19.554 * * [simplify]: iters left: 5 (42 enodes) 19.569 * * [simplify]: iters left: 4 (79 enodes) 19.583 * * [simplify]: iters left: 3 (176 enodes) 19.634 * * [simplify]: iters left: 2 (491 enodes) 20.041 * * [simplify]: Extracting #0: cost 1 inf + 0 20.041 * * [simplify]: Extracting #1: cost 79 inf + 0 20.044 * * [simplify]: Extracting #2: cost 424 inf + 0 20.049 * * [simplify]: Extracting #3: cost 434 inf + 1374 20.055 * * [simplify]: Extracting #4: cost 365 inf + 15165 20.075 * * [simplify]: Extracting #5: cost 222 inf + 60738 20.118 * * [simplify]: Extracting #6: cost 20 inf + 142135 20.159 * * [simplify]: Extracting #7: cost 0 inf + 147485 20.201 * * [simplify]: Extracting #8: cost 0 inf + 147405 20.246 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 20.247 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 20.247 * * * * [progress]: [ 63 / 143 ] simplifiying candidate # 20.247 * * * * [progress]: [ 64 / 143 ] simplifiying candidate # 20.247 * * * * [progress]: [ 65 / 143 ] simplifiying candidate # 20.247 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))))) 20.247 * * [simplify]: iters left: 6 (18 enodes) 20.254 * * [simplify]: iters left: 5 (81 enodes) 20.275 * * [simplify]: iters left: 4 (297 enodes) 20.769 * * [simplify]: Extracting #0: cost 1 inf + 0 20.770 * * [simplify]: Extracting #1: cost 317 inf + 0 20.774 * * [simplify]: Extracting #2: cost 1360 inf + 1186 20.790 * * [simplify]: Extracting #3: cost 1159 inf + 28787 20.802 * * [simplify]: Extracting #4: cost 1067 inf + 46078 20.814 * * [simplify]: Extracting #5: cost 1058 inf + 48222 20.858 * * [simplify]: Extracting #6: cost 700 inf + 217292 21.060 * * [simplify]: Extracting #7: cost 50 inf + 478678 21.285 * * [simplify]: Extracting #8: cost 0 inf + 450895 21.481 * * [simplify]: Extracting #9: cost 0 inf + 450215 21.645 * [simplify]: Simplified to (* (/ (/ (* U U) (/ 8 U)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) (/ (/ (* U U) (/ 8 U)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) 21.645 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (/ (* U U) (/ 8 U)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) (/ (/ (* U U) (/ 8 U)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))))) 1)) -2) (* (cos (/ K 2)) J))) 21.645 * * * * [progress]: [ 66 / 143 ] simplifiying candidate # 21.645 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))))) 21.645 * * [simplify]: iters left: 6 (23 enodes) 21.654 * * [simplify]: iters left: 5 (116 enodes) 21.688 * * [simplify]: iters left: 4 (394 enodes) 22.790 * * [simplify]: Extracting #0: cost 1 inf + 0 22.791 * * [simplify]: Extracting #1: cost 305 inf + 0 22.800 * * [simplify]: Extracting #2: cost 1687 inf + 1266 22.813 * * [simplify]: Extracting #3: cost 1524 inf + 28963 22.826 * * [simplify]: Extracting #4: cost 1425 inf + 42935 22.866 * * [simplify]: Extracting #5: cost 1007 inf + 187192 23.044 * * [simplify]: Extracting #6: cost 91 inf + 536933 23.284 * * [simplify]: Extracting #7: cost 0 inf + 555816 23.473 * * [simplify]: Extracting #8: cost 0 inf + 555016 23.660 * [simplify]: Simplified to (* (/ (/ (/ (* U U) (/ 8 U)) (* J (cos (/ K 2)))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) (/ (/ (/ (* U U) (/ 8 U)) (* J (cos (/ K 2)))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) 23.660 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (/ (/ (* U U) (/ 8 U)) (* J (cos (/ K 2)))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) (/ (/ (/ (* U U) (/ 8 U)) (* J (cos (/ K 2)))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J))) 23.660 * * * * [progress]: [ 67 / 143 ] simplifiying candidate # 23.660 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))) (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) 23.660 * * [simplify]: iters left: 6 (23 enodes) 23.675 * * [simplify]: iters left: 5 (117 enodes) 23.718 * * [simplify]: Extracting #0: cost 1 inf + 0 23.718 * * [simplify]: Extracting #1: cost 57 inf + 0 23.719 * * [simplify]: Extracting #2: cost 198 inf + 1 23.720 * * [simplify]: Extracting #3: cost 196 inf + 1963 23.721 * * [simplify]: Extracting #4: cost 175 inf + 4048 23.723 * * [simplify]: Extracting #5: cost 138 inf + 14158 23.732 * * [simplify]: Extracting #6: cost 38 inf + 45666 23.751 * * [simplify]: Extracting #7: cost 0 inf + 59703 23.775 * * [simplify]: Extracting #8: cost 0 inf + 58861 23.802 * [simplify]: Simplified to (* (/ (/ (* U (* U U)) 8) (* (* (cos (/ K 2)) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) J)) (/ (/ (* U (* U U)) (* (cos (/ K 2)) (* J 2))) (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))))) 23.803 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (/ (* U (* U U)) 8) (* (* (cos (/ K 2)) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) J)) (/ (/ (* U (* U U)) (* (cos (/ K 2)) (* J 2))) (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2)))))) 1)) -2) (* (cos (/ K 2)) J))) 23.803 * * * * [progress]: [ 68 / 143 ] simplifiying candidate # 23.803 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 23.804 * * [simplify]: iters left: 6 (23 enodes) 23.818 * * [simplify]: iters left: 5 (110 enodes) 23.854 * * [simplify]: iters left: 4 (408 enodes) 24.573 * * [simplify]: Extracting #0: cost 1 inf + 0 24.574 * * [simplify]: Extracting #1: cost 349 inf + 0 24.582 * * [simplify]: Extracting #2: cost 1362 inf + 253 24.596 * * [simplify]: Extracting #3: cost 1372 inf + 8215 24.612 * * [simplify]: Extracting #4: cost 1293 inf + 19441 24.665 * * [simplify]: Extracting #5: cost 942 inf + 149702 24.799 * * [simplify]: Extracting #6: cost 118 inf + 513336 25.008 * * [simplify]: Extracting #7: cost 0 inf + 530464 25.216 * * [simplify]: Extracting #8: cost 0 inf + 526424 25.379 * * [simplify]: Extracting #9: cost 0 inf + 526264 25.570 * [simplify]: Simplified to (/ (* (* U (* U U)) (/ (* (/ U (* (* (cos (/ K 2)) 2) J)) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) 8)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) 25.570 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (/ (* (* U (* U U)) (/ (* (/ U (* (* (cos (/ K 2)) 2) J)) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) 8)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J))) 25.571 * * * * [progress]: [ 69 / 143 ] simplifiying candidate # 25.571 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))))) 25.572 * * [simplify]: iters left: 6 (23 enodes) 25.587 * * [simplify]: iters left: 5 (116 enodes) 25.654 * * [simplify]: iters left: 4 (400 enodes) 27.346 * * [simplify]: Extracting #0: cost 1 inf + 0 27.346 * * [simplify]: Extracting #1: cost 338 inf + 0 27.351 * * [simplify]: Extracting #2: cost 1775 inf + 1305 27.362 * * [simplify]: Extracting #3: cost 1631 inf + 26639 27.383 * * [simplify]: Extracting #4: cost 1492 inf + 45349 27.465 * * [simplify]: Extracting #5: cost 991 inf + 264110 27.677 * * [simplify]: Extracting #6: cost 19 inf + 641565 27.876 * * [simplify]: Extracting #7: cost 0 inf + 581792 28.138 * * [simplify]: Extracting #8: cost 0 inf + 581352 28.349 * [simplify]: Simplified to (* (/ (* U U) (/ (* (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) 8) U)) (/ (* U U) (/ (* (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) 8) U))) 28.349 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (* U U) (/ (* (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) 8) U)) (/ (* U U) (/ (* (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) 8) U)))) 1)) -2) (* (cos (/ K 2)) J))) 28.349 * * * * [progress]: [ 70 / 143 ] simplifiying candidate # 28.350 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))))) 28.350 * * [simplify]: iters left: 6 (16 enodes) 28.356 * * [simplify]: iters left: 5 (79 enodes) 28.377 * * [simplify]: iters left: 4 (300 enodes) 29.005 * * [simplify]: Extracting #0: cost 1 inf + 0 29.006 * * [simplify]: Extracting #1: cost 276 inf + 0 29.012 * * [simplify]: Extracting #2: cost 1222 inf + 1113 29.026 * * [simplify]: Extracting #3: cost 1095 inf + 16811 29.041 * * [simplify]: Extracting #4: cost 1061 inf + 20800 29.099 * * [simplify]: Extracting #5: cost 657 inf + 183765 29.237 * * [simplify]: Extracting #6: cost 22 inf + 410882 29.409 * * [simplify]: Extracting #7: cost 0 inf + 405405 29.575 * * [simplify]: Extracting #8: cost 0 inf + 405114 29.773 * [simplify]: Simplified to (* (/ (* U (* U U)) (* (* J (cos (/ K 2))) (* (* 8 (* J (cos (/ K 2)))) (* J (cos (/ K 2)))))) (/ (* U (* U U)) (* (* J (cos (/ K 2))) (* (* 8 (* J (cos (/ K 2)))) (* J (cos (/ K 2))))))) 29.773 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (* U (* U U)) (* (* J (cos (/ K 2))) (* (* 8 (* J (cos (/ K 2)))) (* J (cos (/ K 2)))))) (/ (* U (* U U)) (* (* J (cos (/ K 2))) (* (* 8 (* J (cos (/ K 2)))) (* J (cos (/ K 2)))))))) 1)) -2) (* (cos (/ K 2)) J))) 29.773 * * * * [progress]: [ 71 / 143 ] simplifiying candidate # 29.774 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) 29.774 * * [simplify]: iters left: 6 (20 enodes) 29.787 * * [simplify]: iters left: 5 (110 enodes) 29.822 * * [simplify]: iters left: 4 (486 enodes) 30.801 * * [simplify]: Extracting #0: cost 1 inf + 0 30.803 * * [simplify]: Extracting #1: cost 357 inf + 0 30.813 * * [simplify]: Extracting #2: cost 1671 inf + 4 30.830 * * [simplify]: Extracting #3: cost 1668 inf + 6826 30.849 * * [simplify]: Extracting #4: cost 1547 inf + 21334 30.891 * * [simplify]: Extracting #5: cost 1187 inf + 145252 31.076 * * [simplify]: Extracting #6: cost 120 inf + 563013 31.295 * * [simplify]: Extracting #7: cost 0 inf + 585634 31.547 * * [simplify]: Extracting #8: cost 0 inf + 584467 31.758 * [simplify]: Simplified to (* (* (/ (/ 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)))))) 31.758 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) 1)) -2) (* (cos (/ K 2)) J))) 31.759 * * * * [progress]: [ 72 / 143 ] simplifiying candidate # 31.759 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 31.759 * * [simplify]: iters left: 6 (20 enodes) 31.766 * * [simplify]: iters left: 5 (104 enodes) 31.793 * * [simplify]: iters left: 4 (410 enodes) 32.460 * * [simplify]: Extracting #0: cost 1 inf + 0 32.460 * * [simplify]: Extracting #1: cost 320 inf + 0 32.464 * * [simplify]: Extracting #2: cost 1273 inf + 422 32.471 * * [simplify]: Extracting #3: cost 1300 inf + 5654 32.478 * * [simplify]: Extracting #4: cost 1233 inf + 13684 32.509 * * [simplify]: Extracting #5: cost 817 inf + 180631 32.605 * * [simplify]: Extracting #6: cost 86 inf + 457006 32.770 * * [simplify]: Extracting #7: cost 0 inf + 479132 32.971 * * [simplify]: Extracting #8: cost 0 inf + 478812 33.131 * [simplify]: Simplified to (* (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ U 4)) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) (/ (/ U 2) (* J (cos (/ K 2))))) 33.131 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ U 4)) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) (/ (/ U 2) (* J (cos (/ K 2)))))) 1)) -2) (* (cos (/ K 2)) J))) 33.131 * * * * [progress]: [ 73 / 143 ] simplifiying candidate # 33.131 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))))) 33.132 * * [simplify]: iters left: 6 (23 enodes) 33.141 * * [simplify]: iters left: 5 (117 enodes) 33.198 * * [simplify]: Extracting #0: cost 1 inf + 0 33.198 * * [simplify]: Extracting #1: cost 57 inf + 0 33.198 * * [simplify]: Extracting #2: cost 198 inf + 1 33.199 * * [simplify]: Extracting #3: cost 195 inf + 2086 33.200 * * [simplify]: Extracting #4: cost 174 inf + 4290 33.204 * * [simplify]: Extracting #5: cost 116 inf + 19820 33.216 * * [simplify]: Extracting #6: cost 12 inf + 57316 33.231 * * [simplify]: Extracting #7: cost 0 inf + 58322 33.256 * [simplify]: Simplified to (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))) (/ (/ (* U (* U U)) 8) (* (* (cos (/ K 2)) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) J))) 33.256 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))) (/ (/ (* U (* U U)) 8) (* (* (cos (/ K 2)) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) J)))) 1)) -2) (* (cos (/ K 2)) J))) 33.256 * * * * [progress]: [ 74 / 143 ] simplifiying candidate # 33.257 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))))) 33.257 * * [simplify]: iters left: 6 (20 enodes) 33.271 * * [simplify]: iters left: 5 (110 enodes) 33.333 * * [simplify]: iters left: 4 (486 enodes) 34.359 * * [simplify]: Extracting #0: cost 1 inf + 0 34.360 * * [simplify]: Extracting #1: cost 354 inf + 0 34.366 * * [simplify]: Extracting #2: cost 1732 inf + 947 34.382 * * [simplify]: Extracting #3: cost 1677 inf + 14777 34.405 * * [simplify]: Extracting #4: cost 1558 inf + 34201 34.515 * * [simplify]: Extracting #5: cost 538 inf + 431020 34.780 * * [simplify]: Extracting #6: cost 7 inf + 614791 35.015 * * [simplify]: Extracting #7: cost 0 inf + 600444 35.258 * * [simplify]: Extracting #8: cost 0 inf + 599228 35.485 * * [simplify]: Extracting #9: cost 0 inf + 599108 35.756 * [simplify]: Simplified to (* (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (/ U (* (* 2 (cos (/ K 2))) J))) (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (/ U (* (* 2 (cos (/ K 2))) J)))) 35.756 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (/ U (* (* 2 (cos (/ K 2))) J))) (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (/ U (* (* 2 (cos (/ K 2))) J))))) 1)) -2) (* (cos (/ K 2)) J))) 35.756 * * * * [progress]: [ 75 / 143 ] simplifiying candidate # 35.757 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) 35.757 * * [simplify]: iters left: 6 (14 enodes) 35.766 * * [simplify]: iters left: 5 (69 enodes) 35.797 * * [simplify]: iters left: 4 (284 enodes) 36.291 * * [simplify]: Extracting #0: cost 1 inf + 0 36.292 * * [simplify]: Extracting #1: cost 264 inf + 0 36.295 * * [simplify]: Extracting #2: cost 1048 inf + 621 36.301 * * [simplify]: Extracting #3: cost 1004 inf + 7706 36.319 * * [simplify]: Extracting #4: cost 992 inf + 8857 36.356 * * [simplify]: Extracting #5: cost 693 inf + 102376 36.482 * * [simplify]: Extracting #6: cost 68 inf + 348361 36.631 * * [simplify]: Extracting #7: cost 0 inf + 362304 36.757 * * [simplify]: Extracting #8: cost 0 inf + 360357 36.932 * [simplify]: Simplified to (* (* (/ (/ 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))))))) 36.932 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) 1)) -2) (* (cos (/ K 2)) J))) 36.932 * * * * [progress]: [ 76 / 143 ] simplifiying candidate # 36.932 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 36.933 * * [simplify]: iters left: 6 (17 enodes) 36.943 * * [simplify]: iters left: 5 (87 enodes) 36.989 * * [simplify]: iters left: 4 (347 enodes) 37.743 * * [simplify]: Extracting #0: cost 1 inf + 0 37.744 * * [simplify]: Extracting #1: cost 232 inf + 0 37.747 * * [simplify]: Extracting #2: cost 1150 inf + 375 37.753 * * [simplify]: Extracting #3: cost 1098 inf + 7458 37.760 * * [simplify]: Extracting #4: cost 1069 inf + 11014 37.801 * * [simplify]: Extracting #5: cost 711 inf + 123503 37.931 * * [simplify]: Extracting #6: cost 36 inf + 371223 38.090 * * [simplify]: Extracting #7: cost 0 inf + 378721 38.248 * * [simplify]: Extracting #8: cost 0 inf + 378639 38.438 * [simplify]: Simplified to (* (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) (* (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))))) 38.438 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) (* (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2)))))) 1)) -2) (* (cos (/ K 2)) J))) 38.439 * * * * [progress]: [ 77 / 143 ] simplifiying candidate # 38.439 * [simplify]: Simplifying (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))))) 38.439 * * [simplify]: iters left: 6 (23 enodes) 38.453 * * [simplify]: iters left: 5 (110 enodes) 38.499 * * [simplify]: iters left: 4 (410 enodes) 39.081 * * [simplify]: Extracting #0: cost 1 inf + 0 39.082 * * [simplify]: Extracting #1: cost 359 inf + 0 39.086 * * [simplify]: Extracting #2: cost 1287 inf + 419 39.093 * * [simplify]: Extracting #3: cost 1261 inf + 9929 39.102 * * [simplify]: Extracting #4: cost 1180 inf + 21019 39.166 * * [simplify]: Extracting #5: cost 735 inf + 199153 39.329 * * [simplify]: Extracting #6: cost 8 inf + 499942 39.484 * * [simplify]: Extracting #7: cost 0 inf + 474987 39.680 * * [simplify]: Extracting #8: cost 0 inf + 473616 39.844 * [simplify]: Simplified to (* (/ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) 8) (/ (* (* U U) U) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))))) 39.844 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (/ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) 8) (/ (* (* U U) U) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J))) 39.845 * * * * [progress]: [ 78 / 143 ] simplifiying candidate # 39.845 * [simplify]: Simplifying (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))))) 39.845 * * [simplify]: iters left: 6 (20 enodes) 39.852 * * [simplify]: iters left: 5 (104 enodes) 39.879 * * [simplify]: iters left: 4 (410 enodes) 40.514 * * [simplify]: Extracting #0: cost 1 inf + 0 40.515 * * [simplify]: Extracting #1: cost 333 inf + 0 40.524 * * [simplify]: Extracting #2: cost 1241 inf + 215 40.530 * * [simplify]: Extracting #3: cost 1232 inf + 5451 40.544 * * [simplify]: Extracting #4: cost 1158 inf + 14257 40.583 * * [simplify]: Extracting #5: cost 643 inf + 213569 40.747 * * [simplify]: Extracting #6: cost 28 inf + 452599 40.913 * * [simplify]: Extracting #7: cost 0 inf + 451462 41.089 * * [simplify]: Extracting #8: cost 0 inf + 451384 41.245 * [simplify]: Simplified to (* (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ U 4)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ U (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) 41.245 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ U 4)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ U (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 41.246 * * * * [progress]: [ 79 / 143 ] simplifiying candidate # 41.246 * [simplify]: Simplifying (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) 41.246 * * [simplify]: iters left: 6 (17 enodes) 41.257 * * [simplify]: iters left: 5 (87 enodes) 41.302 * * [simplify]: iters left: 4 (343 enodes) 41.953 * * [simplify]: Extracting #0: cost 1 inf + 0 41.954 * * [simplify]: Extracting #1: cost 233 inf + 0 41.961 * * [simplify]: Extracting #2: cost 1034 inf + 459 41.967 * * [simplify]: Extracting #3: cost 981 inf + 8158 41.974 * * [simplify]: Extracting #4: cost 963 inf + 10234 42.001 * * [simplify]: Extracting #5: cost 665 inf + 100602 42.111 * * [simplify]: Extracting #6: cost 35 inf + 335827 42.266 * * [simplify]: Extracting #7: cost 0 inf + 343092 42.391 * * [simplify]: Extracting #8: cost 0 inf + 342649 42.555 * [simplify]: Simplified to (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 42.555 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J))) 42.555 * * * * [progress]: [ 80 / 143 ] simplifiying candidate # 42.555 * [simplify]: Simplifying (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 42.555 * * [simplify]: iters left: 6 (12 enodes) 42.559 * * [simplify]: iters left: 5 (55 enodes) 42.572 * * [simplify]: iters left: 4 (179 enodes) 42.854 * * [simplify]: Extracting #0: cost 1 inf + 0 42.854 * * [simplify]: Extracting #1: cost 111 inf + 0 42.857 * * [simplify]: Extracting #2: cost 476 inf + 4 42.861 * * [simplify]: Extracting #3: cost 509 inf + 1174 42.884 * * [simplify]: Extracting #4: cost 279 inf + 68658 42.948 * * [simplify]: Extracting #5: cost 18 inf + 157912 42.990 * * [simplify]: Extracting #6: cost 0 inf + 164075 43.033 * * [simplify]: Extracting #7: cost 0 inf + 164036 43.097 * [simplify]: Simplified to (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 43.097 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (cbrt (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 43.097 * * * * [progress]: [ 81 / 143 ] simplifiying candidate # 43.097 * * * * [progress]: [ 82 / 143 ] simplifiying candidate # 43.098 * * * * [progress]: [ 83 / 143 ] simplifiying candidate # 43.098 * * * * [progress]: [ 84 / 143 ] simplifiying candidate # 43.098 * [simplify]: Simplifying (* U U) 43.098 * * [simplify]: iters left: 2 (2 enodes) 43.099 * * [simplify]: iters left: 1 (6 enodes) 43.101 * * [simplify]: Extracting #0: cost 1 inf + 0 43.101 * * [simplify]: Extracting #1: cost 3 inf + 0 43.101 * * [simplify]: Extracting #2: cost 2 inf + 1 43.101 * * [simplify]: Extracting #3: cost 0 inf + 83 43.101 * [simplify]: Simplified to (* U U) 43.101 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 43.102 * [simplify]: Simplifying (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) 43.102 * * [simplify]: iters left: 6 (8 enodes) 43.107 * * [simplify]: iters left: 5 (36 enodes) 43.121 * * [simplify]: iters left: 4 (87 enodes) 43.148 * * [simplify]: iters left: 3 (207 enodes) 43.211 * * [simplify]: iters left: 2 (331 enodes) 43.328 * * [simplify]: iters left: 1 (343 enodes) 43.441 * * [simplify]: Extracting #0: cost 1 inf + 0 43.441 * * [simplify]: Extracting #1: cost 27 inf + 0 43.441 * * [simplify]: Extracting #2: cost 45 inf + 126 43.441 * * [simplify]: Extracting #3: cost 41 inf + 497 43.442 * * [simplify]: Extracting #4: cost 38 inf + 582 43.443 * * [simplify]: Extracting #5: cost 14 inf + 4770 43.446 * * [simplify]: Extracting #6: cost 0 inf + 7288 43.448 * * [simplify]: Extracting #7: cost 0 inf + 7248 43.451 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J)) 43.451 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (/ (* U U) (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J))) 1)) -2) (* (cos (/ K 2)) J))) 43.451 * * * * [progress]: [ 85 / 143 ] simplifiying candidate # 43.451 * * * * [progress]: [ 86 / 143 ] simplifiying candidate # 43.451 * [simplify]: Simplifying (* (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))))) 43.451 * * [simplify]: iters left: 6 (12 enodes) 43.456 * * [simplify]: iters left: 5 (46 enodes) 43.464 * * [simplify]: iters left: 4 (68 enodes) 43.483 * * [simplify]: iters left: 3 (95 enodes) 43.514 * * [simplify]: iters left: 2 (144 enodes) 43.571 * * [simplify]: iters left: 1 (288 enodes) 43.661 * * [simplify]: Extracting #0: cost 1 inf + 0 43.661 * * [simplify]: Extracting #1: cost 71 inf + 0 43.662 * * [simplify]: Extracting #2: cost 140 inf + 46 43.663 * * [simplify]: Extracting #3: cost 128 inf + 636 43.665 * * [simplify]: Extracting #4: cost 111 inf + 2561 43.667 * * [simplify]: Extracting #5: cost 99 inf + 4759 43.681 * * [simplify]: Extracting #6: cost 26 inf + 35874 43.699 * * [simplify]: Extracting #7: cost 0 inf + 49849 43.717 * [simplify]: Simplified to (* (cbrt (/ (/ (/ U J) (cos (/ K 2))) 2)) (/ (/ (/ U J) (cos (/ K 2))) 2)) 43.717 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (* (cbrt (/ (/ (/ U J) (cos (/ K 2))) 2)) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J))) 43.718 * [simplify]: Simplifying (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) 43.718 * * [simplify]: iters left: 6 (11 enodes) 43.723 * * [simplify]: iters left: 5 (39 enodes) 43.735 * * [simplify]: iters left: 4 (57 enodes) 43.752 * * [simplify]: iters left: 3 (74 enodes) 43.771 * * [simplify]: iters left: 2 (79 enodes) 43.791 * * [simplify]: Extracting #0: cost 1 inf + 0 43.791 * * [simplify]: Extracting #1: cost 3 inf + 0 43.791 * * [simplify]: Extracting #2: cost 5 inf + 0 43.792 * * [simplify]: Extracting #3: cost 16 inf + 0 43.792 * * [simplify]: Extracting #4: cost 25 inf + 3 43.792 * * [simplify]: Extracting #5: cost 28 inf + 129 43.793 * * [simplify]: Extracting #6: cost 13 inf + 1889 43.794 * * [simplify]: Extracting #7: cost 3 inf + 3901 43.795 * * [simplify]: Extracting #8: cost 0 inf + 4410 43.797 * [simplify]: Simplified to (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) 43.797 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))))) 1)) -2) (* (cos (/ K 2)) J))) 43.797 * * * * [progress]: [ 87 / 143 ] simplifiying candidate # 43.798 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 43.798 * * [simplify]: iters left: 6 (11 enodes) 43.803 * * [simplify]: iters left: 5 (37 enodes) 43.815 * * [simplify]: iters left: 4 (56 enodes) 43.832 * * [simplify]: iters left: 3 (73 enodes) 43.850 * * [simplify]: iters left: 2 (78 enodes) 43.870 * * [simplify]: Extracting #0: cost 1 inf + 0 43.870 * * [simplify]: Extracting #1: cost 13 inf + 0 43.870 * * [simplify]: Extracting #2: cost 23 inf + 3 43.870 * * [simplify]: Extracting #3: cost 26 inf + 129 43.871 * * [simplify]: Extracting #4: cost 16 inf + 851 43.872 * * [simplify]: Extracting #5: cost 3 inf + 3053 43.873 * * [simplify]: Extracting #6: cost 0 inf + 3642 43.874 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J)) 43.874 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J))) 43.875 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 43.875 * * [simplify]: iters left: 6 (11 enodes) 43.880 * * [simplify]: iters left: 5 (37 enodes) 43.892 * * [simplify]: iters left: 4 (56 enodes) 43.908 * * [simplify]: iters left: 3 (73 enodes) 43.927 * * [simplify]: iters left: 2 (78 enodes) 43.936 * * [simplify]: Extracting #0: cost 1 inf + 0 43.936 * * [simplify]: Extracting #1: cost 13 inf + 0 43.936 * * [simplify]: Extracting #2: cost 23 inf + 3 43.937 * * [simplify]: Extracting #3: cost 26 inf + 129 43.937 * * [simplify]: Extracting #4: cost 16 inf + 851 43.937 * * [simplify]: Extracting #5: cost 3 inf + 3053 43.938 * * [simplify]: Extracting #6: cost 0 inf + 3642 43.939 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J)) 43.939 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)) -2) (* (cos (/ K 2)) J))) 43.939 * * * * [progress]: [ 88 / 143 ] simplifiying candidate # 43.939 * [simplify]: Simplifying (* (/ (* (cbrt U) (cbrt U)) 2) (/ (* (cbrt U) (cbrt U)) 2)) 43.939 * * [simplify]: iters left: 6 (6 enodes) 43.941 * * [simplify]: iters left: 5 (24 enodes) 43.945 * * [simplify]: iters left: 4 (46 enodes) 43.954 * * [simplify]: iters left: 3 (94 enodes) 43.989 * * [simplify]: iters left: 2 (156 enodes) 44.042 * * [simplify]: iters left: 1 (177 enodes) 44.101 * * [simplify]: Extracting #0: cost 1 inf + 0 44.101 * * [simplify]: Extracting #1: cost 29 inf + 0 44.102 * * [simplify]: Extracting #2: cost 44 inf + 452 44.104 * * [simplify]: Extracting #3: cost 11 inf + 5196 44.106 * * [simplify]: Extracting #4: cost 0 inf + 6946 44.109 * [simplify]: Simplified to (/ (cbrt U) (/ 4 U)) 44.109 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ (cbrt U) (/ 4 U)) (* (/ (cbrt U) (* (cos (/ K 2)) J)) (/ (cbrt U) (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 44.110 * [simplify]: Simplifying (* (/ (cbrt U) (* (cos (/ K 2)) J)) (/ (cbrt U) (* (cos (/ K 2)) J))) 44.110 * * [simplify]: iters left: 6 (10 enodes) 44.115 * * [simplify]: iters left: 5 (37 enodes) 44.127 * * [simplify]: iters left: 4 (67 enodes) 44.152 * * [simplify]: iters left: 3 (153 enodes) 44.197 * * [simplify]: iters left: 2 (259 enodes) 44.297 * * [simplify]: iters left: 1 (355 enodes) 44.403 * * [simplify]: Extracting #0: cost 1 inf + 0 44.404 * * [simplify]: Extracting #1: cost 36 inf + 0 44.404 * * [simplify]: Extracting #2: cost 69 inf + 1 44.405 * * [simplify]: Extracting #3: cost 67 inf + 287 44.406 * * [simplify]: Extracting #4: cost 53 inf + 1870 44.408 * * [simplify]: Extracting #5: cost 34 inf + 5949 44.414 * * [simplify]: Extracting #6: cost 5 inf + 13388 44.420 * * [simplify]: Extracting #7: cost 0 inf + 14706 44.424 * [simplify]: Simplified to (* (/ (/ (cbrt U) J) (cos (/ K 2))) (/ (/ (cbrt U) J) (cos (/ K 2)))) 44.424 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (/ (cbrt U) (/ 4 U)) (* (/ (/ (cbrt U) J) (cos (/ K 2))) (/ (/ (cbrt U) J) (cos (/ K 2))))) 1)) -2) (* (cos (/ K 2)) J))) 44.424 * * * * [progress]: [ 89 / 143 ] simplifiying candidate # 44.424 * [simplify]: Simplifying (* (/ (sqrt U) 2) (/ (sqrt U) 2)) 44.424 * * [simplify]: iters left: 5 (5 enodes) 44.426 * * [simplify]: iters left: 4 (19 enodes) 44.429 * * [simplify]: iters left: 3 (27 enodes) 44.433 * * [simplify]: iters left: 2 (34 enodes) 44.439 * * [simplify]: iters left: 1 (43 enodes) 44.446 * * [simplify]: Extracting #0: cost 1 inf + 0 44.446 * * [simplify]: Extracting #1: cost 11 inf + 0 44.446 * * [simplify]: Extracting #2: cost 14 inf + 3 44.446 * * [simplify]: Extracting #3: cost 5 inf + 539 44.446 * * [simplify]: Extracting #4: cost 1 inf + 827 44.446 * * [simplify]: Extracting #5: cost 0 inf + 909 44.447 * [simplify]: Simplified to (/ U 4) 44.447 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U 4) (* (/ (sqrt U) (* (cos (/ K 2)) J)) (/ (sqrt U) (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 44.447 * [simplify]: Simplifying (* (/ (sqrt U) (* (cos (/ K 2)) J)) (/ (sqrt U) (* (cos (/ K 2)) J))) 44.447 * * [simplify]: iters left: 6 (10 enodes) 44.450 * * [simplify]: iters left: 5 (37 enodes) 44.462 * * [simplify]: iters left: 4 (67 enodes) 44.486 * * [simplify]: iters left: 3 (146 enodes) 44.535 * * [simplify]: iters left: 2 (243 enodes) 44.584 * * [simplify]: iters left: 1 (344 enodes) 44.698 * * [simplify]: Extracting #0: cost 1 inf + 0 44.698 * * [simplify]: Extracting #1: cost 35 inf + 0 44.699 * * [simplify]: Extracting #2: cost 62 inf + 166 44.699 * * [simplify]: Extracting #3: cost 53 inf + 1108 44.701 * * [simplify]: Extracting #4: cost 32 inf + 4488 44.704 * * [simplify]: Extracting #5: cost 2 inf + 10914 44.707 * * [simplify]: Extracting #6: cost 0 inf + 11240 44.711 * [simplify]: Simplified to (/ U (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) 44.711 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U 4) (/ U (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 44.711 * * * * [progress]: [ 90 / 143 ] simplifiying candidate # 44.711 * [simplify]: Simplifying (* (/ 1 2) (/ 1 2)) 44.711 * * [simplify]: iters left: 4 (4 enodes) 44.716 * * [simplify]: iters left: 3 (20 enodes) 44.721 * * [simplify]: iters left: 2 (22 enodes) 44.727 * * [simplify]: Extracting #0: cost 1 inf + 0 44.727 * * [simplify]: Extracting #1: cost 0 inf + 1 44.727 * [simplify]: Simplified to 1/4 44.728 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* 1/4 (* (/ U (* (cos (/ K 2)) J)) (/ U (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 44.728 * [simplify]: Simplifying (* (/ U (* (cos (/ K 2)) J)) (/ U (* (cos (/ K 2)) J))) 44.728 * * [simplify]: iters left: 6 (9 enodes) 44.733 * * [simplify]: iters left: 5 (34 enodes) 44.745 * * [simplify]: iters left: 4 (64 enodes) 44.769 * * [simplify]: iters left: 3 (148 enodes) 44.832 * * [simplify]: iters left: 2 (254 enodes) 44.913 * * [simplify]: iters left: 1 (351 enodes) 45.008 * * [simplify]: Extracting #0: cost 1 inf + 0 45.008 * * [simplify]: Extracting #1: cost 36 inf + 0 45.008 * * [simplify]: Extracting #2: cost 65 inf + 43 45.009 * * [simplify]: Extracting #3: cost 56 inf + 905 45.010 * * [simplify]: Extracting #4: cost 51 inf + 992 45.013 * * [simplify]: Extracting #5: cost 34 inf + 3846 45.019 * * [simplify]: Extracting #6: cost 1 inf + 10281 45.026 * * [simplify]: Extracting #7: cost 0 inf + 10464 45.033 * [simplify]: Simplified to (* (/ (/ U J) (cos (/ K 2))) (/ (/ U J) (cos (/ K 2)))) 45.033 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* 1/4 (* (/ (/ U J) (cos (/ K 2))) (/ (/ U J) (cos (/ K 2))))) 1)) -2) (* (cos (/ K 2)) J))) 45.033 * * * * [progress]: [ 91 / 143 ] simplifiying candidate # 45.033 * [simplify]: Simplifying (* 1 1) 45.033 * * [simplify]: iters left: 2 (2 enodes) 45.035 * * [simplify]: iters left: 1 (6 enodes) 45.037 * * [simplify]: Extracting #0: cost 1 inf + 0 45.037 * * [simplify]: Extracting #1: cost 0 inf + 1 45.037 * [simplify]: Simplified to 1 45.037 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 45.038 * [simplify]: Simplifying (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 45.038 * * [simplify]: iters left: 6 (10 enodes) 45.043 * * [simplify]: iters left: 5 (40 enodes) 45.058 * * [simplify]: iters left: 4 (91 enodes) 45.093 * * [simplify]: iters left: 3 (345 enodes) 45.363 * * [simplify]: Extracting #0: cost 1 inf + 0 45.364 * * [simplify]: Extracting #1: cost 119 inf + 0 45.366 * * [simplify]: Extracting #2: cost 236 inf + 45 45.368 * * [simplify]: Extracting #3: cost 207 inf + 2474 45.379 * * [simplify]: Extracting #4: cost 104 inf + 22392 45.406 * * [simplify]: Extracting #5: cost 6 inf + 45410 45.431 * * [simplify]: Extracting #6: cost 0 inf + 46788 45.446 * * [simplify]: Extracting #7: cost 0 inf + 46787 45.463 * [simplify]: Simplified to (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 45.463 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) 1)) -2) (* (cos (/ K 2)) J))) 45.463 * * * * [progress]: [ 92 / 143 ] simplifiying candidate # 45.463 * [simplify]: Simplifying (* U U) 45.463 * * [simplify]: iters left: 2 (2 enodes) 45.464 * * [simplify]: iters left: 1 (6 enodes) 45.465 * * [simplify]: Extracting #0: cost 1 inf + 0 45.465 * * [simplify]: Extracting #1: cost 3 inf + 0 45.465 * * [simplify]: Extracting #2: cost 2 inf + 1 45.465 * * [simplify]: Extracting #3: cost 0 inf + 83 45.465 * [simplify]: Simplified to (* U U) 45.465 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (* U U) (* (/ 1 (* 2 (* (cos (/ K 2)) J))) (/ 1 (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 45.465 * [simplify]: Simplifying (* (/ 1 (* 2 (* (cos (/ K 2)) J))) (/ 1 (* 2 (* (cos (/ K 2)) J)))) 45.465 * * [simplify]: iters left: 6 (10 enodes) 45.471 * * [simplify]: iters left: 5 (43 enodes) 45.489 * * [simplify]: iters left: 4 (82 enodes) 45.528 * * [simplify]: iters left: 3 (271 enodes) 45.758 * * [simplify]: Extracting #0: cost 1 inf + 0 45.758 * * [simplify]: Extracting #1: cost 72 inf + 0 45.759 * * [simplify]: Extracting #2: cost 165 inf + 90 45.760 * * [simplify]: Extracting #3: cost 151 inf + 1785 45.763 * * [simplify]: Extracting #4: cost 98 inf + 11781 45.773 * * [simplify]: Extracting #5: cost 3 inf + 32308 45.793 * * [simplify]: Extracting #6: cost 0 inf + 32858 45.812 * [simplify]: Simplified to (/ 1/4 (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) 45.812 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* U U) (/ 1/4 (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (/ K 2)) J))) 45.812 * * * * [progress]: [ 93 / 143 ] simplifiying candidate # 45.813 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 45.813 * * [simplify]: iters left: 6 (11 enodes) 45.818 * * [simplify]: iters left: 5 (37 enodes) 45.834 * * [simplify]: iters left: 4 (56 enodes) 45.842 * * [simplify]: iters left: 3 (73 enodes) 45.852 * * [simplify]: iters left: 2 (78 enodes) 45.862 * * [simplify]: Extracting #0: cost 1 inf + 0 45.862 * * [simplify]: Extracting #1: cost 13 inf + 0 45.862 * * [simplify]: Extracting #2: cost 23 inf + 3 45.862 * * [simplify]: Extracting #3: cost 26 inf + 129 45.862 * * [simplify]: Extracting #4: cost 16 inf + 851 45.863 * * [simplify]: Extracting #5: cost 3 inf + 3053 45.865 * * [simplify]: Extracting #6: cost 0 inf + 3642 45.866 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J)) 45.866 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J))) 45.867 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 45.867 * * [simplify]: iters left: 6 (11 enodes) 45.872 * * [simplify]: iters left: 5 (37 enodes) 45.885 * * [simplify]: iters left: 4 (56 enodes) 45.901 * * [simplify]: iters left: 3 (73 enodes) 45.920 * * [simplify]: iters left: 2 (78 enodes) 45.939 * * [simplify]: Extracting #0: cost 1 inf + 0 45.939 * * [simplify]: Extracting #1: cost 13 inf + 0 45.939 * * [simplify]: Extracting #2: cost 23 inf + 3 45.939 * * [simplify]: Extracting #3: cost 26 inf + 129 45.939 * * [simplify]: Extracting #4: cost 16 inf + 851 45.941 * * [simplify]: Extracting #5: cost 3 inf + 3053 45.942 * * [simplify]: Extracting #6: cost 0 inf + 3642 45.943 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J)) 45.943 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)) -2) (* (cos (/ K 2)) J))) 45.944 * * * * [progress]: [ 94 / 143 ] simplifiying candidate # 45.944 * [simplify]: Simplifying (/ U (* 2 (* (cos (/ K 2)) J))) 45.944 * * [simplify]: iters left: 6 (9 enodes) 45.949 * * [simplify]: iters left: 5 (33 enodes) 45.961 * * [simplify]: iters left: 4 (51 enodes) 45.975 * * [simplify]: iters left: 3 (68 enodes) 45.984 * * [simplify]: iters left: 2 (73 enodes) 45.994 * * [simplify]: Extracting #0: cost 1 inf + 0 45.994 * * [simplify]: Extracting #1: cost 12 inf + 0 45.994 * * [simplify]: Extracting #2: cost 21 inf + 3 45.994 * * [simplify]: Extracting #3: cost 21 inf + 337 45.994 * * [simplify]: Extracting #4: cost 12 inf + 1158 45.995 * * [simplify]: Extracting #5: cost 0 inf + 3114 45.996 * [simplify]: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) 45.996 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (pow (/ (/ U (* J 2)) (cos (/ K 2))) (* 2 1)) 1)) -2) (* (cos (/ K 2)) J))) 45.996 * [simplify]: Simplifying (* 2 1) 45.996 * * [simplify]: iters left: 2 (3 enodes) 45.997 * * [simplify]: iters left: 1 (9 enodes) 45.999 * * [simplify]: Extracting #0: cost 1 inf + 0 45.999 * * [simplify]: Extracting #1: cost 0 inf + 1 45.999 * [simplify]: Simplified to 2 45.999 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (pow (/ U (* 2 (* (cos (/ K 2)) J))) 2) 1)) -2) (* (cos (/ K 2)) J))) 45.999 * * * * [progress]: [ 95 / 143 ] simplifiying candidate # 45.999 * [simplify]: Simplifying (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) 45.999 * * [simplify]: iters left: 6 (10 enodes) 46.002 * * [simplify]: iters left: 5 (36 enodes) 46.008 * * [simplify]: iters left: 4 (54 enodes) 46.024 * * [simplify]: iters left: 3 (71 enodes) 46.034 * * [simplify]: iters left: 2 (76 enodes) 46.043 * * [simplify]: Extracting #0: cost 1 inf + 0 46.043 * * [simplify]: Extracting #1: cost 3 inf + 0 46.043 * * [simplify]: Extracting #2: cost 14 inf + 0 46.044 * * [simplify]: Extracting #3: cost 23 inf + 3 46.044 * * [simplify]: Extracting #4: cost 24 inf + 295 46.044 * * [simplify]: Extracting #5: cost 9 inf + 2499 46.045 * * [simplify]: Extracting #6: cost 0 inf + 3722 46.045 * [simplify]: Simplified to (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) 46.045 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) 1)) -2) (* (cos (/ K 2)) J))) 46.046 * * * * [progress]: [ 96 / 143 ] simplifiying candidate # 46.046 * [simplify]: Simplifying (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) 46.046 * * [simplify]: iters left: 6 (10 enodes) 46.048 * * [simplify]: iters left: 5 (36 enodes) 46.055 * * [simplify]: iters left: 4 (54 enodes) 46.068 * * [simplify]: iters left: 3 (71 enodes) 46.086 * * [simplify]: iters left: 2 (76 enodes) 46.105 * * [simplify]: Extracting #0: cost 1 inf + 0 46.105 * * [simplify]: Extracting #1: cost 3 inf + 0 46.105 * * [simplify]: Extracting #2: cost 14 inf + 0 46.105 * * [simplify]: Extracting #3: cost 23 inf + 3 46.105 * * [simplify]: Extracting #4: cost 24 inf + 295 46.106 * * [simplify]: Extracting #5: cost 9 inf + 2419 46.108 * * [simplify]: Extracting #6: cost 0 inf + 3642 46.109 * [simplify]: Simplified to (sqrt (/ (/ U (* J 2)) (cos (/ K 2)))) 46.109 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) (sqrt (/ (/ U (* J 2)) (cos (/ K 2))))) 1)) -2) (* (cos (/ K 2)) J))) 46.109 * * * * [progress]: [ 97 / 143 ] simplifiying candidate # 46.110 * [simplify]: Simplifying (/ (cbrt U) (* (cos (/ K 2)) J)) 46.110 * * [simplify]: iters left: 6 (9 enodes) 46.114 * * [simplify]: iters left: 5 (30 enodes) 46.123 * * [simplify]: iters left: 4 (34 enodes) 46.132 * * [simplify]: iters left: 3 (36 enodes) 46.141 * * [simplify]: Extracting #0: cost 1 inf + 0 46.141 * * [simplify]: Extracting #1: cost 8 inf + 0 46.141 * * [simplify]: Extracting #2: cost 14 inf + 1 46.141 * * [simplify]: Extracting #3: cost 16 inf + 2 46.141 * * [simplify]: Extracting #4: cost 11 inf + 288 46.141 * * [simplify]: Extracting #5: cost 5 inf + 962 46.141 * * [simplify]: Extracting #6: cost 0 inf + 1958 46.142 * [simplify]: Simplified to (/ (/ (cbrt U) (cos (/ K 2))) J) 46.142 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ (* (cbrt U) (cbrt U)) 2)) (/ (/ (cbrt U) (cos (/ K 2))) J)) 1)) -2) (* (cos (/ K 2)) J))) 46.142 * * * * [progress]: [ 98 / 143 ] simplifiying candidate # 46.142 * [simplify]: Simplifying (/ (sqrt U) (* (cos (/ K 2)) J)) 46.142 * * [simplify]: iters left: 6 (9 enodes) 46.144 * * [simplify]: iters left: 5 (30 enodes) 46.149 * * [simplify]: iters left: 4 (34 enodes) 46.154 * * [simplify]: iters left: 3 (36 enodes) 46.159 * * [simplify]: Extracting #0: cost 1 inf + 0 46.159 * * [simplify]: Extracting #1: cost 8 inf + 0 46.159 * * [simplify]: Extracting #2: cost 14 inf + 1 46.159 * * [simplify]: Extracting #3: cost 16 inf + 2 46.159 * * [simplify]: Extracting #4: cost 11 inf + 168 46.160 * * [simplify]: Extracting #5: cost 5 inf + 762 46.160 * * [simplify]: Extracting #6: cost 0 inf + 1638 46.160 * [simplify]: Simplified to (/ (/ (sqrt U) (cos (/ K 2))) J) 46.160 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ (sqrt U) 2)) (/ (/ (sqrt U) (cos (/ K 2))) J)) 1)) -2) (* (cos (/ K 2)) J))) 46.160 * * * * [progress]: [ 99 / 143 ] simplifiying candidate # 46.161 * [simplify]: Simplifying (/ U (* (cos (/ K 2)) J)) 46.161 * * [simplify]: iters left: 6 (8 enodes) 46.163 * * [simplify]: iters left: 5 (27 enodes) 46.167 * * [simplify]: iters left: 4 (31 enodes) 46.171 * * [simplify]: iters left: 3 (33 enodes) 46.179 * * [simplify]: Extracting #0: cost 1 inf + 0 46.179 * * [simplify]: Extracting #1: cost 8 inf + 0 46.179 * * [simplify]: Extracting #2: cost 11 inf + 2 46.179 * * [simplify]: Extracting #3: cost 12 inf + 86 46.179 * * [simplify]: Extracting #4: cost 9 inf + 130 46.179 * * [simplify]: Extracting #5: cost 1 inf + 1132 46.180 * * [simplify]: Extracting #6: cost 0 inf + 1316 46.180 * [simplify]: Simplified to (/ (/ U J) (cos (/ K 2))) 46.180 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ 1 2)) (/ (/ U J) (cos (/ K 2)))) 1)) -2) (* (cos (/ K 2)) J))) 46.180 * * * * [progress]: [ 100 / 143 ] simplifiying candidate # 46.180 * [simplify]: Simplifying (/ U (* 2 (* (cos (/ K 2)) J))) 46.180 * * [simplify]: iters left: 6 (9 enodes) 46.183 * * [simplify]: iters left: 5 (33 enodes) 46.188 * * [simplify]: iters left: 4 (51 enodes) 46.196 * * [simplify]: iters left: 3 (68 enodes) 46.205 * * [simplify]: iters left: 2 (73 enodes) 46.218 * * [simplify]: Extracting #0: cost 1 inf + 0 46.218 * * [simplify]: Extracting #1: cost 12 inf + 0 46.219 * * [simplify]: Extracting #2: cost 21 inf + 3 46.219 * * [simplify]: Extracting #3: cost 21 inf + 337 46.219 * * [simplify]: Extracting #4: cost 12 inf + 1158 46.221 * * [simplify]: Extracting #5: cost 0 inf + 3114 46.222 * [simplify]: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) 46.222 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) 1) (/ (/ U (* J 2)) (cos (/ K 2)))) 1)) -2) (* (cos (/ K 2)) J))) 46.222 * * * * [progress]: [ 101 / 143 ] simplifiying candidate # 46.222 * [simplify]: Simplifying (/ 1 (* 2 (* (cos (/ K 2)) J))) 46.223 * * [simplify]: iters left: 6 (9 enodes) 46.228 * * [simplify]: iters left: 5 (36 enodes) 46.241 * * [simplify]: iters left: 4 (56 enodes) 46.258 * * [simplify]: iters left: 3 (72 enodes) 46.276 * * [simplify]: iters left: 2 (76 enodes) 46.286 * * [simplify]: Extracting #0: cost 1 inf + 0 46.287 * * [simplify]: Extracting #1: cost 12 inf + 0 46.287 * * [simplify]: Extracting #2: cost 18 inf + 46 46.287 * * [simplify]: Extracting #3: cost 21 inf + 172 46.287 * * [simplify]: Extracting #4: cost 12 inf + 1055 46.287 * * [simplify]: Extracting #5: cost 2 inf + 2464 46.288 * * [simplify]: Extracting #6: cost 0 inf + 2789 46.290 * [simplify]: Simplified to (/ (/ 1/2 J) (cos (/ K 2))) 46.290 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (/ (/ 1/2 J) (cos (/ K 2)))) 1)) -2) (* (cos (/ K 2)) J))) 46.290 * * * * [progress]: [ 102 / 143 ] simplifiying candidate # 46.290 * [simplify]: Simplifying (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) 46.290 * * [simplify]: iters left: 6 (11 enodes) 46.293 * * [simplify]: iters left: 5 (39 enodes) 46.300 * * [simplify]: iters left: 4 (57 enodes) 46.310 * * [simplify]: iters left: 3 (74 enodes) 46.324 * * [simplify]: iters left: 2 (79 enodes) 46.334 * * [simplify]: Extracting #0: cost 1 inf + 0 46.335 * * [simplify]: Extracting #1: cost 3 inf + 0 46.335 * * [simplify]: Extracting #2: cost 5 inf + 0 46.335 * * [simplify]: Extracting #3: cost 16 inf + 0 46.335 * * [simplify]: Extracting #4: cost 25 inf + 3 46.335 * * [simplify]: Extracting #5: cost 28 inf + 129 46.335 * * [simplify]: Extracting #6: cost 13 inf + 1889 46.336 * * [simplify]: Extracting #7: cost 3 inf + 3901 46.337 * * [simplify]: Extracting #8: cost 0 inf + 4410 46.337 * [simplify]: Simplified to (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) 46.337 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 46.338 * * * * [progress]: [ 103 / 143 ] simplifiying candidate # 46.338 * [simplify]: Simplifying (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) 46.338 * * [simplify]: iters left: 6 (10 enodes) 46.341 * * [simplify]: iters left: 5 (36 enodes) 46.347 * * [simplify]: iters left: 4 (54 enodes) 46.356 * * [simplify]: iters left: 3 (71 enodes) 46.374 * * [simplify]: iters left: 2 (76 enodes) 46.393 * * [simplify]: Extracting #0: cost 1 inf + 0 46.393 * * [simplify]: Extracting #1: cost 3 inf + 0 46.393 * * [simplify]: Extracting #2: cost 14 inf + 0 46.393 * * [simplify]: Extracting #3: cost 23 inf + 3 46.393 * * [simplify]: Extracting #4: cost 24 inf + 295 46.394 * * [simplify]: Extracting #5: cost 9 inf + 2419 46.397 * * [simplify]: Extracting #6: cost 0 inf + 3642 46.398 * [simplify]: Simplified to (sqrt (/ (/ U (* J 2)) (cos (/ K 2)))) 46.398 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (sqrt (/ (/ U (* J 2)) (cos (/ K 2)))) (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 46.399 * * * * [progress]: [ 104 / 143 ] simplifiying candidate # 46.399 * [simplify]: Simplifying (/ (* (cbrt U) (cbrt U)) 2) 46.399 * * [simplify]: iters left: 5 (5 enodes) 46.402 * * [simplify]: iters left: 4 (17 enodes) 46.407 * * [simplify]: iters left: 3 (21 enodes) 46.414 * * [simplify]: iters left: 2 (24 enodes) 46.421 * * [simplify]: Extracting #0: cost 1 inf + 0 46.421 * * [simplify]: Extracting #1: cost 7 inf + 0 46.421 * * [simplify]: Extracting #2: cost 11 inf + 1 46.421 * * [simplify]: Extracting #3: cost 10 inf + 2 46.421 * * [simplify]: Extracting #4: cost 0 inf + 1218 46.422 * [simplify]: Simplified to (/ (* (cbrt U) (cbrt U)) 2) 46.422 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ (* (cbrt U) (cbrt U)) 2) (* (/ (cbrt U) (* (cos (/ K 2)) J)) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 46.422 * * * * [progress]: [ 105 / 143 ] simplifiying candidate # 46.422 * [simplify]: Simplifying (/ (sqrt U) 2) 46.422 * * [simplify]: iters left: 3 (4 enodes) 46.424 * * [simplify]: iters left: 2 (12 enodes) 46.428 * * [simplify]: Extracting #0: cost 1 inf + 0 46.428 * * [simplify]: Extracting #1: cost 4 inf + 0 46.428 * * [simplify]: Extracting #2: cost 5 inf + 1 46.428 * * [simplify]: Extracting #3: cost 4 inf + 2 46.429 * * [simplify]: Extracting #4: cost 0 inf + 248 46.429 * [simplify]: Simplified to (/ (sqrt U) 2) 46.429 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (/ (sqrt U) 2) (* (/ (sqrt U) (* (cos (/ K 2)) J)) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 46.429 * * * * [progress]: [ 106 / 143 ] simplifiying candidate # 46.429 * [simplify]: Simplifying (/ 1 2) 46.429 * * [simplify]: iters left: 2 (3 enodes) 46.433 * * [simplify]: iters left: 1 (12 enodes) 46.437 * * [simplify]: Extracting #0: cost 1 inf + 0 46.437 * * [simplify]: Extracting #1: cost 0 inf + 1 46.437 * [simplify]: Simplified to 1/2 46.437 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* 1/2 (* (/ U (* (cos (/ K 2)) J)) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (* (cos (/ K 2)) J))) 46.437 * * * * [progress]: [ 107 / 143 ] simplifiying candidate # 46.437 * * * * [progress]: [ 108 / 143 ] simplifiying candidate # 46.437 * * * * [progress]: [ 109 / 143 ] simplifiying candidate # 46.438 * [simplify]: Simplifying (* 2 (* (cos (/ K 2)) J)) 46.438 * * [simplify]: iters left: 6 (7 enodes) 46.441 * * [simplify]: iters left: 5 (25 enodes) 46.449 * * [simplify]: iters left: 4 (33 enodes) 46.460 * * [simplify]: iters left: 3 (39 enodes) 46.466 * * [simplify]: Extracting #0: cost 1 inf + 0 46.466 * * [simplify]: Extracting #1: cost 8 inf + 0 46.466 * * [simplify]: Extracting #2: cost 11 inf + 2 46.466 * * [simplify]: Extracting #3: cost 12 inf + 44 46.467 * * [simplify]: Extracting #4: cost 10 inf + 87 46.467 * * [simplify]: Extracting #5: cost 4 inf + 660 46.467 * * [simplify]: Extracting #6: cost 1 inf + 1128 46.467 * * [simplify]: Extracting #7: cost 0 inf + 1311 46.468 * [simplify]: Simplified to (* (cos (/ K 2)) (* J 2)) 46.468 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (J K U) (* (* (sqrt (+ (/ (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (cos (/ K 2)) (* J 2))) 1)) -2) (* (cos (/ K 2)) J))) 46.468 * * * * [progress]: [ 110 / 143 ] simplifiying candidate # 46.468 * [simplify]: Simplifying (* U (/ U (* 2 (* (cos (/ K 2)) J)))) 46.468 * * [simplify]: iters left: 6 (10 enodes) 46.471 * * [simplify]: iters left: 5 (39 enodes) 46.477 * * [simplify]: iters left: 4 (75 enodes) 46.492 * * [simplify]: iters left: 3 (155 enodes) 46.536 * * [simplify]: iters left: 2 (223 enodes) 46.586 * * [simplify]: iters left: 1 (275 enodes) 46.643 * * [simplify]: Extracting #0: cost 1 inf + 0 46.644 * * [simplify]: Extracting #1: cost 34 inf + 0 46.644 * * [simplify]: Extracting #2: cost 56 inf + 128 46.644 * * [simplify]: Extracting #3: cost 42 inf + 1204 46.646 * * [simplify]: Extracting #4: cost 19 inf + 4613 46.649 * * [simplify]: Extracting #5: cost 0 inf + 8215 46.654 * [simplify]: Simplified to (/ (/ U (cos (/ K 2))) (* (/ 2 U) J)) 46.654 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (/ (/ (/ U (cos (/ K 2))) (* (/ 2 U) J)) (* 2 (* (cos (/ K 2)) J))) 1)) -2) (* (cos (/ K 2)) J))) 46.654 * * * * [progress]: [ 111 / 143 ] simplifiying candidate #real (real->posit16 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (* (cos (/ K 2)) J)))> 46.654 * * * * [progress]: [ 112 / 143 ] simplifiying candidate # 46.654 * * * * [progress]: [ 113 / 143 ] simplifiying candidate # 46.654 * [simplify]: Simplifying (* (cos (/ K 2)) J) 46.655 * * [simplify]: iters left: 5 (6 enodes) 46.658 * * [simplify]: iters left: 4 (19 enodes) 46.663 * * [simplify]: Extracting #0: cost 1 inf + 0 46.663 * * [simplify]: Extracting #1: cost 4 inf + 0 46.663 * * [simplify]: Extracting #2: cost 5 inf + 1 46.663 * * [simplify]: Extracting #3: cost 8 inf + 1 46.664 * * [simplify]: Extracting #4: cost 6 inf + 3 46.664 * * [simplify]: Extracting #5: cost 0 inf + 577 46.664 * [simplify]: Simplified to (* (cos (/ K 2)) J) 46.664 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (pow (* (cos (/ K 2)) J) 1))) 46.664 * * * * [progress]: [ 114 / 143 ] simplifiying candidate # 46.664 * * * * [progress]: [ 115 / 143 ] simplifiying candidate # 46.664 * [simplify]: Simplifying (+ (log (cos (/ K 2))) (log J)) 46.665 * * [simplify]: iters left: 6 (8 enodes) 46.668 * * [simplify]: iters left: 5 (25 enodes) 46.676 * * [simplify]: Extracting #0: cost 1 inf + 0 46.676 * * [simplify]: Extracting #1: cost 4 inf + 0 46.676 * * [simplify]: Extracting #2: cost 8 inf + 0 46.676 * * [simplify]: Extracting #3: cost 8 inf + 72 46.676 * * [simplify]: Extracting #4: cost 10 inf + 143 46.677 * * [simplify]: Extracting #5: cost 8 inf + 145 46.677 * * [simplify]: Extracting #6: cost 5 inf + 331 46.677 * * [simplify]: Extracting #7: cost 1 inf + 1060 46.677 * * [simplify]: Extracting #8: cost 0 inf + 1343 46.678 * [simplify]: Simplified to (+ (log J) (log (cos (/ K 2)))) 46.678 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (exp (+ (log J) (log (cos (/ K 2))))))) 46.678 * * * * [progress]: [ 116 / 143 ] simplifiying candidate # 46.678 * * * * [progress]: [ 117 / 143 ] simplifiying candidate # 46.678 * * * * [progress]: [ 118 / 143 ] simplifiying candidate # 46.678 * [simplify]: Simplifying (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)) 46.679 * * [simplify]: iters left: 6 (10 enodes) 46.684 * * [simplify]: iters left: 5 (37 enodes) 46.696 * * [simplify]: iters left: 4 (66 enodes) 46.725 * * [simplify]: iters left: 3 (125 enodes) 46.773 * * [simplify]: iters left: 2 (196 enodes) 46.863 * * [simplify]: iters left: 1 (353 enodes) 46.982 * * [simplify]: Extracting #0: cost 1 inf + 0 46.982 * * [simplify]: Extracting #1: cost 51 inf + 0 46.983 * * [simplify]: Extracting #2: cost 146 inf + 124 46.984 * * [simplify]: Extracting #3: cost 153 inf + 460 46.986 * * [simplify]: Extracting #4: cost 133 inf + 4920 46.995 * * [simplify]: Extracting #5: cost 45 inf + 43385 47.003 * * [simplify]: Extracting #6: cost 4 inf + 66357 47.014 * * [simplify]: Extracting #7: cost 0 inf + 69278 47.022 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) 47.022 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cbrt (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))))) 47.023 * * * * [progress]: [ 119 / 143 ] simplifiying candidate # 47.023 * * * * [progress]: [ 120 / 143 ] simplifiying candidate # 47.023 * * * * [progress]: [ 121 / 143 ] simplifiying candidate # 47.023 * * * * [progress]: [ 122 / 143 ] simplifiying candidate # 47.023 * * * * [progress]: [ 123 / 143 ] simplifiying candidate # 47.023 * [simplify]: Simplifying (* (sqrt (cos (/ K 2))) (sqrt J)) 47.023 * * [simplify]: iters left: 6 (8 enodes) 47.026 * * [simplify]: iters left: 5 (25 enodes) 47.033 * * [simplify]: Extracting #0: cost 1 inf + 0 47.033 * * [simplify]: Extracting #1: cost 4 inf + 0 47.033 * * [simplify]: Extracting #2: cost 8 inf + 0 47.033 * * [simplify]: Extracting #3: cost 8 inf + 42 47.033 * * [simplify]: Extracting #4: cost 10 inf + 83 47.033 * * [simplify]: Extracting #5: cost 8 inf + 85 47.033 * * [simplify]: Extracting #6: cost 5 inf + 271 47.034 * * [simplify]: Extracting #7: cost 1 inf + 880 47.034 * * [simplify]: Extracting #8: cost 0 inf + 1103 47.034 * [simplify]: Simplified to (* (sqrt J) (sqrt (cos (/ K 2)))) 47.034 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (sqrt J) (sqrt (cos (/ K 2)))) (* (sqrt (cos (/ K 2))) (sqrt J))))) 47.035 * [simplify]: Simplifying (* (sqrt (cos (/ K 2))) (sqrt J)) 47.035 * * [simplify]: iters left: 6 (8 enodes) 47.039 * * [simplify]: iters left: 5 (25 enodes) 47.047 * * [simplify]: Extracting #0: cost 1 inf + 0 47.047 * * [simplify]: Extracting #1: cost 4 inf + 0 47.047 * * [simplify]: Extracting #2: cost 8 inf + 0 47.047 * * [simplify]: Extracting #3: cost 8 inf + 42 47.047 * * [simplify]: Extracting #4: cost 10 inf + 83 47.047 * * [simplify]: Extracting #5: cost 8 inf + 85 47.047 * * [simplify]: Extracting #6: cost 5 inf + 271 47.048 * * [simplify]: Extracting #7: cost 1 inf + 880 47.048 * * [simplify]: Extracting #8: cost 0 inf + 1103 47.048 * [simplify]: Simplified to (* (sqrt J) (sqrt (cos (/ K 2)))) 47.049 * [simplify]: Simplified (2 2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (sqrt (cos (/ K 2))) (sqrt J)) (* (sqrt J) (sqrt (cos (/ K 2))))))) 47.049 * * * * [progress]: [ 124 / 143 ] simplifiying candidate # 47.049 * [simplify]: Simplifying (cbrt J) 47.049 * * [simplify]: iters left: 1 (2 enodes) 47.050 * * [simplify]: Extracting #0: cost 1 inf + 0 47.050 * * [simplify]: Extracting #1: cost 3 inf + 0 47.050 * * [simplify]: Extracting #2: cost 2 inf + 1 47.050 * * [simplify]: Extracting #3: cost 0 inf + 163 47.050 * [simplify]: Simplified to (cbrt J) 47.050 * [simplify]: Simplified (2 2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J)))) 47.051 * * * * [progress]: [ 125 / 143 ] simplifiying candidate # 47.051 * [simplify]: Simplifying (sqrt J) 47.051 * * [simplify]: iters left: 1 (2 enodes) 47.052 * * [simplify]: Extracting #0: cost 1 inf + 0 47.052 * * [simplify]: Extracting #1: cost 3 inf + 0 47.052 * * [simplify]: Extracting #2: cost 2 inf + 1 47.052 * * [simplify]: Extracting #3: cost 0 inf + 83 47.052 * [simplify]: Simplified to (sqrt J) 47.052 * [simplify]: Simplified (2 2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cos (/ K 2)) (sqrt J)) (sqrt J)))) 47.052 * * * * [progress]: [ 126 / 143 ] simplifiying candidate # 47.053 * * * * [progress]: [ 127 / 143 ] simplifiying candidate # 47.053 * [simplify]: Simplifying (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) 47.053 * * [simplify]: iters left: 6 (6 enodes) 47.056 * * [simplify]: iters left: 5 (18 enodes) 47.060 * * [simplify]: Extracting #0: cost 1 inf + 0 47.060 * * [simplify]: Extracting #1: cost 3 inf + 0 47.060 * * [simplify]: Extracting #2: cost 5 inf + 0 47.060 * * [simplify]: Extracting #3: cost 7 inf + 0 47.060 * * [simplify]: Extracting #4: cost 10 inf + 0 47.060 * * [simplify]: Extracting #5: cost 8 inf + 2 47.061 * * [simplify]: Extracting #6: cost 0 inf + 1098 47.061 * [simplify]: Simplified to (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) 47.061 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)))) 47.061 * * * * [progress]: [ 128 / 143 ] simplifiying candidate # 47.061 * [simplify]: Simplifying (sqrt (cos (/ K 2))) 47.061 * * [simplify]: iters left: 4 (5 enodes) 47.063 * * [simplify]: iters left: 3 (15 enodes) 47.065 * * [simplify]: Extracting #0: cost 1 inf + 0 47.065 * * [simplify]: Extracting #1: cost 3 inf + 0 47.065 * * [simplify]: Extracting #2: cost 5 inf + 0 47.065 * * [simplify]: Extracting #3: cost 8 inf + 0 47.065 * * [simplify]: Extracting #4: cost 6 inf + 2 47.065 * * [simplify]: Extracting #5: cost 0 inf + 574 47.065 * [simplify]: Simplified to (sqrt (cos (/ K 2))) 47.065 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) J)))) 47.066 * * * * [progress]: [ 129 / 143 ] simplifiying candidate # 47.066 * * * * [progress]: [ 130 / 143 ] simplifiying candidate #real (real->posit16 (* (cos (/ K 2)) J)))))> 47.066 * * * * [progress]: [ 131 / 143 ] simplifiying candidate # 47.066 * * * * [progress]: [ 132 / 143 ] simplifiying candidate # 47.066 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 47.066 * * [simplify]: iters left: 6 (10 enodes) 47.069 * * [simplify]: iters left: 5 (43 enodes) 47.078 * * [simplify]: iters left: 4 (79 enodes) 47.091 * * [simplify]: iters left: 3 (118 enodes) 47.121 * * [simplify]: iters left: 2 (171 enodes) 47.178 * * [simplify]: iters left: 1 (242 enodes) 47.265 * * [simplify]: Extracting #0: cost 1 inf + 0 47.266 * * [simplify]: Extracting #1: cost 6 inf + 0 47.266 * * [simplify]: Extracting #2: cost 41 inf + 0 47.266 * * [simplify]: Extracting #3: cost 56 inf + 213 47.268 * * [simplify]: Extracting #4: cost 20 inf + 2732 47.271 * * [simplify]: Extracting #5: cost 1 inf + 4576 47.274 * * [simplify]: Extracting #6: cost 0 inf + 4698 47.276 * [simplify]: Simplified to (- (* -2 J) (/ (* U U) (/ J 1/4))) 47.277 * [simplify]: Simplified (2) to (λ (J K U) (- (* -2 J) (/ (* U U) (/ J 1/4)))) 47.277 * * * * [progress]: [ 133 / 143 ] simplifiying candidate # 47.277 * [simplify]: Simplifying (* -1 U) 47.277 * * [simplify]: iters left: 2 (3 enodes) 47.279 * * [simplify]: iters left: 1 (11 enodes) 47.282 * * [simplify]: Extracting #0: cost 1 inf + 0 47.282 * * [simplify]: Extracting #1: cost 4 inf + 0 47.282 * * [simplify]: Extracting #2: cost 0 inf + 84 47.282 * [simplify]: Simplified to (- U) 47.283 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 47.283 * * * * [progress]: [ 134 / 143 ] simplifiying candidate # 47.283 * [simplify]: Simplifying (* -1 U) 47.283 * * [simplify]: iters left: 2 (3 enodes) 47.285 * * [simplify]: iters left: 1 (11 enodes) 47.287 * * [simplify]: Extracting #0: cost 1 inf + 0 47.287 * * [simplify]: Extracting #1: cost 4 inf + 0 47.287 * * [simplify]: Extracting #2: cost 0 inf + 84 47.287 * [simplify]: Simplified to (- U) 47.287 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 47.287 * * * * [progress]: [ 135 / 143 ] simplifiying candidate # 47.287 * [simplify]: Simplifying 1 47.287 * * [simplify]: iters left: 0 (1 enodes) 47.288 * * [simplify]: Extracting #0: cost 1 inf + 0 47.288 * * [simplify]: Extracting #1: cost 0 inf + 1 47.288 * [simplify]: Simplified to 1 47.288 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* 1 -2) (* (cos (/ K 2)) J))) 47.288 * * * * [progress]: [ 136 / 143 ] simplifiying candidate # 47.288 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 47.288 * * [simplify]: iters left: 6 (9 enodes) 47.290 * * [simplify]: iters left: 5 (34 enodes) 47.296 * * [simplify]: iters left: 4 (56 enodes) 47.304 * * [simplify]: iters left: 3 (90 enodes) 47.318 * * [simplify]: iters left: 2 (114 enodes) 47.346 * * [simplify]: iters left: 1 (131 enodes) 47.384 * * [simplify]: Extracting #0: cost 1 inf + 0 47.384 * * [simplify]: Extracting #1: cost 22 inf + 0 47.384 * * [simplify]: Extracting #2: cost 37 inf + 3 47.384 * * [simplify]: Extracting #3: cost 31 inf + 380 47.385 * * [simplify]: Extracting #4: cost 17 inf + 1834 47.386 * * [simplify]: Extracting #5: cost 3 inf + 4117 47.387 * * [simplify]: Extracting #6: cost 0 inf + 4586 47.388 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 47.388 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (cos (/ K 2)) J))) 47.388 * * * * [progress]: [ 137 / 143 ] simplifiying candidate # 47.388 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 47.389 * * [simplify]: iters left: 6 (9 enodes) 47.391 * * [simplify]: iters left: 5 (34 enodes) 47.396 * * [simplify]: iters left: 4 (56 enodes) 47.406 * * [simplify]: iters left: 3 (90 enodes) 47.420 * * [simplify]: iters left: 2 (114 enodes) 47.445 * * [simplify]: iters left: 1 (131 enodes) 47.479 * * [simplify]: Extracting #0: cost 1 inf + 0 47.479 * * [simplify]: Extracting #1: cost 22 inf + 0 47.479 * * [simplify]: Extracting #2: cost 37 inf + 3 47.480 * * [simplify]: Extracting #3: cost 31 inf + 380 47.480 * * [simplify]: Extracting #4: cost 17 inf + 1834 47.481 * * [simplify]: Extracting #5: cost 3 inf + 4117 47.482 * * [simplify]: Extracting #6: cost 0 inf + 4586 47.483 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 47.483 * [simplify]: Simplified (2 1 1) to (λ (J K U) (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (* (cos (/ K 2)) J))) 47.483 * * * * [progress]: [ 138 / 143 ] simplifiying candidate # 47.483 * [simplify]: Simplifying (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (* (pow K 4) (pow U 2)) (pow J 2))))) 47.484 * * [simplify]: iters left: 6 (22 enodes) 47.491 * * [simplify]: iters left: 5 (98 enodes) 47.511 * * [simplify]: iters left: 4 (205 enodes) 47.576 * * [simplify]: Extracting #0: cost 1 inf + 0 47.576 * * [simplify]: Extracting #1: cost 8 inf + 0 47.576 * * [simplify]: Extracting #2: cost 99 inf + 0 47.577 * * [simplify]: Extracting #3: cost 194 inf + 251 47.579 * * [simplify]: Extracting #4: cost 104 inf + 10603 47.585 * * [simplify]: Extracting #5: cost 8 inf + 24728 47.597 * * [simplify]: Extracting #6: cost 0 inf + 25715 47.605 * * [simplify]: Extracting #7: cost 0 inf + 25355 47.611 * * [simplify]: Extracting #8: cost 0 inf + 25315 47.618 * [simplify]: Simplified to (+ (+ (* 1/96 (* (/ (* K K) (/ J U)) (/ (* K K) (/ J U)))) (* (* 1/4 (/ U J)) (/ U J))) (* (* (/ (* K U) J) (/ (* K U) J)) 1/16)) 47.618 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (+ (+ (* 1/96 (* (/ (* K K) (/ J U)) (/ (* K K) (/ J U)))) (* (* 1/4 (/ U J)) (/ U J))) (* (* (/ (* K U) J) (/ (* K U) J)) 1/16)) 1)) -2) (* (cos (/ K 2)) J))) 47.618 * * * * [progress]: [ 139 / 143 ] simplifiying candidate # 47.618 * [simplify]: Simplifying (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 47.618 * * [simplify]: iters left: 6 (14 enodes) 47.623 * * [simplify]: iters left: 5 (60 enodes) 47.635 * * [simplify]: iters left: 4 (121 enodes) 47.689 * * [simplify]: iters left: 3 (401 enodes) 47.872 * * [simplify]: Extracting #0: cost 1 inf + 0 47.872 * * [simplify]: Extracting #1: cost 135 inf + 0 47.874 * * [simplify]: Extracting #2: cost 287 inf + 168 47.875 * * [simplify]: Extracting #3: cost 261 inf + 2234 47.883 * * [simplify]: Extracting #4: cost 167 inf + 19219 47.896 * * [simplify]: Extracting #5: cost 11 inf + 55565 47.912 * * [simplify]: Extracting #6: cost 0 inf + 57309 47.935 * * [simplify]: Extracting #7: cost 0 inf + 57229 47.964 * [simplify]: Simplified to (* (* (/ U (* J (cos (* 1/2 K)))) (/ U (* J (cos (* 1/2 K))))) 1/4) 47.964 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* J (cos (* 1/2 K)))) (/ U (* J (cos (* 1/2 K))))) 1/4) 1)) -2) (* (cos (/ K 2)) J))) 47.964 * * * * [progress]: [ 140 / 143 ] simplifiying candidate # 47.964 * [simplify]: Simplifying (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 47.964 * * [simplify]: iters left: 6 (14 enodes) 47.973 * * [simplify]: iters left: 5 (60 enodes) 47.997 * * [simplify]: iters left: 4 (121 enodes) 48.060 * * [simplify]: iters left: 3 (401 enodes) 48.257 * * [simplify]: Extracting #0: cost 1 inf + 0 48.257 * * [simplify]: Extracting #1: cost 135 inf + 0 48.258 * * [simplify]: Extracting #2: cost 287 inf + 168 48.260 * * [simplify]: Extracting #3: cost 261 inf + 2234 48.268 * * [simplify]: Extracting #4: cost 167 inf + 19219 48.295 * * [simplify]: Extracting #5: cost 11 inf + 55565 48.324 * * [simplify]: Extracting #6: cost 0 inf + 57309 48.355 * * [simplify]: Extracting #7: cost 0 inf + 57229 48.384 * [simplify]: Simplified to (* (* (/ U (* J (cos (* 1/2 K)))) (/ U (* J (cos (* 1/2 K))))) 1/4) 48.384 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (sqrt (+ (* (* (/ U (* J (cos (* 1/2 K)))) (/ U (* J (cos (* 1/2 K))))) 1/4) 1)) -2) (* (cos (/ K 2)) J))) 48.384 * * * * [progress]: [ 141 / 143 ] simplifiying candidate # 48.384 * [simplify]: Simplifying (- J (* 1/8 (* (pow K 2) J))) 48.384 * * [simplify]: iters left: 6 (8 enodes) 48.390 * * [simplify]: iters left: 5 (35 enodes) 48.402 * * [simplify]: iters left: 4 (67 enodes) 48.429 * * [simplify]: iters left: 3 (133 enodes) 48.476 * * [simplify]: iters left: 2 (207 enodes) 48.525 * * [simplify]: iters left: 1 (230 enodes) 48.589 * * [simplify]: Extracting #0: cost 1 inf + 0 48.589 * * [simplify]: Extracting #1: cost 6 inf + 0 48.589 * * [simplify]: Extracting #2: cost 28 inf + 1 48.589 * * [simplify]: Extracting #3: cost 33 inf + 378 48.591 * * [simplify]: Extracting #4: cost 2 inf + 2884 48.593 * * [simplify]: Extracting #5: cost 0 inf + 3130 48.596 * [simplify]: Simplified to (- J (* (* K K) (* J 1/8))) 48.596 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (- J (* (* K K) (* J 1/8))))) 48.596 * * * * [progress]: [ 142 / 143 ] simplifiying candidate # 48.596 * [simplify]: Simplifying (* (cos (* 1/2 K)) J) 48.597 * * [simplify]: iters left: 5 (6 enodes) 48.600 * * [simplify]: iters left: 4 (20 enodes) 48.605 * * [simplify]: Extracting #0: cost 1 inf + 0 48.605 * * [simplify]: Extracting #1: cost 4 inf + 0 48.605 * * [simplify]: Extracting #2: cost 5 inf + 1 48.605 * * [simplify]: Extracting #3: cost 8 inf + 1 48.605 * * [simplify]: Extracting #4: cost 6 inf + 3 48.606 * * [simplify]: Extracting #5: cost 0 inf + 577 48.606 * [simplify]: Simplified to (* (cos (* 1/2 K)) J) 48.606 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (* 1/2 K)) J))) 48.606 * * * * [progress]: [ 143 / 143 ] simplifiying candidate # 48.606 * [simplify]: Simplifying (* (cos (* 1/2 K)) J) 48.607 * * [simplify]: iters left: 5 (6 enodes) 48.610 * * [simplify]: iters left: 4 (20 enodes) 48.616 * * [simplify]: Extracting #0: cost 1 inf + 0 48.616 * * [simplify]: Extracting #1: cost 4 inf + 0 48.616 * * [simplify]: Extracting #2: cost 5 inf + 1 48.616 * * [simplify]: Extracting #3: cost 8 inf + 1 48.616 * * [simplify]: Extracting #4: cost 6 inf + 3 48.616 * * [simplify]: Extracting #5: cost 0 inf + 577 48.617 * [simplify]: Simplified to (* (cos (* 1/2 K)) J) 48.617 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (cos (* 1/2 K)) J))) 48.617 * * * [progress]: adding candidates to table 50.487 * * [progress]: iteration 2 / 4 50.487 * * * [progress]: picking best candidate 50.533 * * * * [pick]: Picked # 50.533 * * * [progress]: localizing error 50.584 * * * [progress]: generating rewritten candidates 50.584 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 51.870 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 52.048 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1) 52.157 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1 2 2 2) 52.166 * * * [progress]: generating series expansions 52.167 * * * * [progress]: [ 1 / 4 ] generating series at (2) 52.167 * [backup-simplify]: Simplify (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) 52.167 * [approximate]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in (U K J) around 0 52.167 * [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 52.167 * [taylor]: Taking taylor expansion of -2 in J 52.167 * [backup-simplify]: Simplify -2 into -2 52.167 * [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 52.167 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 52.167 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 52.167 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 52.167 * [taylor]: Taking taylor expansion of 1/2 in J 52.167 * [backup-simplify]: Simplify 1/2 into 1/2 52.167 * [taylor]: Taking taylor expansion of K in J 52.167 * [backup-simplify]: Simplify K into K 52.167 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 52.167 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 52.167 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 52.167 * [taylor]: Taking taylor expansion of J in J 52.167 * [backup-simplify]: Simplify 0 into 0 52.167 * [backup-simplify]: Simplify 1 into 1 52.167 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 52.167 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 52.167 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 52.167 * [taylor]: Taking taylor expansion of 1/4 in J 52.167 * [backup-simplify]: Simplify 1/4 into 1/4 52.167 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 52.168 * [taylor]: Taking taylor expansion of (pow U 2) in J 52.168 * [taylor]: Taking taylor expansion of U in J 52.168 * [backup-simplify]: Simplify U into U 52.168 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 52.168 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 52.168 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 52.168 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 52.168 * [taylor]: Taking taylor expansion of 1/2 in J 52.168 * [backup-simplify]: Simplify 1/2 into 1/2 52.168 * [taylor]: Taking taylor expansion of K in J 52.168 * [backup-simplify]: Simplify K into K 52.168 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 52.168 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 52.168 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 52.168 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 52.168 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 52.169 * [backup-simplify]: Simplify (- 0) into 0 52.169 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 52.169 * [taylor]: Taking taylor expansion of (pow J 2) in J 52.169 * [taylor]: Taking taylor expansion of J in J 52.169 * [backup-simplify]: Simplify 0 into 0 52.169 * [backup-simplify]: Simplify 1 into 1 52.169 * [backup-simplify]: Simplify (* U U) into (pow U 2) 52.169 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 52.169 * [backup-simplify]: Simplify (* 1 1) into 1 52.169 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 52.169 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 52.169 * [taylor]: Taking taylor expansion of 1 in J 52.169 * [backup-simplify]: Simplify 1 into 1 52.169 * [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))) 52.170 * [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))) 52.170 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 52.170 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 52.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 52.171 * [backup-simplify]: Simplify (+ 0) into 0 52.171 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 52.171 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 52.172 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 52.172 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 52.172 * [backup-simplify]: Simplify (- 0) into 0 52.173 * [backup-simplify]: Simplify (+ 0 0) into 0 52.173 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 52.173 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 52.173 * [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 52.174 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 52.174 * [backup-simplify]: Simplify (+ 0 0) into 0 52.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 52.174 * [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 52.175 * [taylor]: Taking taylor expansion of -2 in K 52.175 * [backup-simplify]: Simplify -2 into -2 52.175 * [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 52.175 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 52.175 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 52.175 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 52.175 * [taylor]: Taking taylor expansion of 1/2 in K 52.175 * [backup-simplify]: Simplify 1/2 into 1/2 52.175 * [taylor]: Taking taylor expansion of K in K 52.175 * [backup-simplify]: Simplify 0 into 0 52.175 * [backup-simplify]: Simplify 1 into 1 52.175 * [backup-simplify]: Simplify (* 1/2 0) into 0 52.175 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 52.175 * [taylor]: Taking taylor expansion of J in K 52.175 * [backup-simplify]: Simplify J into J 52.175 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 52.175 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 52.175 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 52.176 * [taylor]: Taking taylor expansion of 1/4 in K 52.176 * [backup-simplify]: Simplify 1/4 into 1/4 52.176 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 52.176 * [taylor]: Taking taylor expansion of (pow U 2) in K 52.176 * [taylor]: Taking taylor expansion of U in K 52.176 * [backup-simplify]: Simplify U into U 52.176 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 52.176 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 52.176 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 52.176 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 52.176 * [taylor]: Taking taylor expansion of 1/2 in K 52.176 * [backup-simplify]: Simplify 1/2 into 1/2 52.176 * [taylor]: Taking taylor expansion of K in K 52.176 * [backup-simplify]: Simplify 0 into 0 52.176 * [backup-simplify]: Simplify 1 into 1 52.176 * [backup-simplify]: Simplify (* 1/2 0) into 0 52.176 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 52.176 * [taylor]: Taking taylor expansion of (pow J 2) in K 52.176 * [taylor]: Taking taylor expansion of J in K 52.177 * [backup-simplify]: Simplify J into J 52.177 * [backup-simplify]: Simplify (* U U) into (pow U 2) 52.177 * [backup-simplify]: Simplify (* 1 1) into 1 52.177 * [backup-simplify]: Simplify (* J J) into (pow J 2) 52.177 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 52.177 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 52.177 * [taylor]: Taking taylor expansion of 1 in K 52.177 * [backup-simplify]: Simplify 1 into 1 52.177 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 52.177 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 52.177 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 52.177 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 52.177 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 52.178 * [backup-simplify]: Simplify (+ 0) into 0 52.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 52.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 52.179 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 52.179 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 52.179 * [backup-simplify]: Simplify (+ 0 0) into 0 52.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 52.179 * [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 52.179 * [taylor]: Taking taylor expansion of -2 in U 52.179 * [backup-simplify]: Simplify -2 into -2 52.179 * [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 52.179 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 52.180 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 52.180 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 52.180 * [taylor]: Taking taylor expansion of 1/2 in U 52.180 * [backup-simplify]: Simplify 1/2 into 1/2 52.180 * [taylor]: Taking taylor expansion of K in U 52.180 * [backup-simplify]: Simplify K into K 52.180 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 52.180 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 52.180 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 52.180 * [taylor]: Taking taylor expansion of J in U 52.180 * [backup-simplify]: Simplify J into J 52.180 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 52.180 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 52.180 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 52.180 * [taylor]: Taking taylor expansion of 1/4 in U 52.180 * [backup-simplify]: Simplify 1/4 into 1/4 52.180 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 52.180 * [taylor]: Taking taylor expansion of (pow U 2) in U 52.180 * [taylor]: Taking taylor expansion of U in U 52.180 * [backup-simplify]: Simplify 0 into 0 52.180 * [backup-simplify]: Simplify 1 into 1 52.180 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 52.180 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 52.180 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 52.180 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 52.180 * [taylor]: Taking taylor expansion of 1/2 in U 52.180 * [backup-simplify]: Simplify 1/2 into 1/2 52.180 * [taylor]: Taking taylor expansion of K in U 52.180 * [backup-simplify]: Simplify K into K 52.180 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 52.180 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 52.180 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 52.180 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 52.180 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 52.180 * [backup-simplify]: Simplify (- 0) into 0 52.181 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 52.181 * [taylor]: Taking taylor expansion of (pow J 2) in U 52.181 * [taylor]: Taking taylor expansion of J in U 52.181 * [backup-simplify]: Simplify J into J 52.181 * [backup-simplify]: Simplify (* 1 1) into 1 52.181 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 52.181 * [backup-simplify]: Simplify (* J J) into (pow J 2) 52.181 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 52.181 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 52.181 * [taylor]: Taking taylor expansion of 1 in U 52.181 * [backup-simplify]: Simplify 1 into 1 52.181 * [backup-simplify]: Simplify (+ 0 1) into 1 52.182 * [backup-simplify]: Simplify (sqrt 1) into 1 52.182 * [backup-simplify]: Simplify (+ 0 0) into 0 52.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 52.182 * [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 52.182 * [taylor]: Taking taylor expansion of -2 in U 52.182 * [backup-simplify]: Simplify -2 into -2 52.182 * [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 52.183 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 52.183 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 52.183 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 52.183 * [taylor]: Taking taylor expansion of 1/2 in U 52.183 * [backup-simplify]: Simplify 1/2 into 1/2 52.183 * [taylor]: Taking taylor expansion of K in U 52.183 * [backup-simplify]: Simplify K into K 52.183 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 52.183 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 52.183 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 52.183 * [taylor]: Taking taylor expansion of J in U 52.183 * [backup-simplify]: Simplify J into J 52.183 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 52.183 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 52.183 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 52.183 * [taylor]: Taking taylor expansion of 1/4 in U 52.183 * [backup-simplify]: Simplify 1/4 into 1/4 52.183 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 52.183 * [taylor]: Taking taylor expansion of (pow U 2) in U 52.183 * [taylor]: Taking taylor expansion of U in U 52.183 * [backup-simplify]: Simplify 0 into 0 52.183 * [backup-simplify]: Simplify 1 into 1 52.183 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 52.183 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 52.183 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 52.183 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 52.183 * [taylor]: Taking taylor expansion of 1/2 in U 52.183 * [backup-simplify]: Simplify 1/2 into 1/2 52.183 * [taylor]: Taking taylor expansion of K in U 52.183 * [backup-simplify]: Simplify K into K 52.183 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 52.183 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 52.183 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 52.183 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 52.183 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 52.184 * [backup-simplify]: Simplify (- 0) into 0 52.184 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 52.184 * [taylor]: Taking taylor expansion of (pow J 2) in U 52.184 * [taylor]: Taking taylor expansion of J in U 52.184 * [backup-simplify]: Simplify J into J 52.184 * [backup-simplify]: Simplify (* 1 1) into 1 52.184 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 52.184 * [backup-simplify]: Simplify (* J J) into (pow J 2) 52.184 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 52.184 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 52.184 * [taylor]: Taking taylor expansion of 1 in U 52.184 * [backup-simplify]: Simplify 1 into 1 52.185 * [backup-simplify]: Simplify (+ 0 1) into 1 52.185 * [backup-simplify]: Simplify (sqrt 1) into 1 52.185 * [backup-simplify]: Simplify (+ 0 0) into 0 52.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 52.186 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 52.186 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 52.186 * [backup-simplify]: Simplify (- 0) into 0 52.186 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 52.186 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 52.186 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J) 52.186 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 52.186 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 52.186 * [taylor]: Taking taylor expansion of -2 in K 52.186 * [backup-simplify]: Simplify -2 into -2 52.186 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 52.186 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 52.186 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 52.186 * [taylor]: Taking taylor expansion of 1/2 in K 52.186 * [backup-simplify]: Simplify 1/2 into 1/2 52.186 * [taylor]: Taking taylor expansion of K in K 52.186 * [backup-simplify]: Simplify 0 into 0 52.186 * [backup-simplify]: Simplify 1 into 1 52.187 * [backup-simplify]: Simplify (* 1/2 0) into 0 52.187 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 52.187 * [taylor]: Taking taylor expansion of J in K 52.187 * [backup-simplify]: Simplify J into J 52.187 * [backup-simplify]: Simplify (* 1 J) into J 52.187 * [backup-simplify]: Simplify (* -2 J) into (* -2 J) 52.187 * [taylor]: Taking taylor expansion of (* -2 J) in J 52.187 * [taylor]: Taking taylor expansion of -2 in J 52.187 * [backup-simplify]: Simplify -2 into -2 52.187 * [taylor]: Taking taylor expansion of J in J 52.187 * [backup-simplify]: Simplify 0 into 0 52.187 * [backup-simplify]: Simplify 1 into 1 52.188 * [backup-simplify]: Simplify (+ 0) into 0 52.188 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 52.188 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 52.189 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 52.189 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 52.189 * [backup-simplify]: Simplify (- 0) into 0 52.190 * [backup-simplify]: Simplify (+ 0 0) into 0 52.190 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 52.190 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0 52.190 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 52.190 * [taylor]: Taking taylor expansion of 0 in K 52.190 * [backup-simplify]: Simplify 0 into 0 52.190 * [taylor]: Taking taylor expansion of 0 in J 52.190 * [backup-simplify]: Simplify 0 into 0 52.191 * [backup-simplify]: Simplify (+ 0) into 0 52.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 52.191 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0 52.191 * [taylor]: Taking taylor expansion of 0 in J 52.191 * [backup-simplify]: Simplify 0 into 0 52.192 * [backup-simplify]: Simplify (* -2 0) into 0 52.192 * [backup-simplify]: Simplify 0 into 0 52.192 * [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))) 52.192 * [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)))) 52.193 * [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))) 52.193 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 52.194 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 52.194 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 52.195 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 52.195 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 52.195 * [backup-simplify]: Simplify (- 0) into 0 52.195 * [backup-simplify]: Simplify (+ 0 0) into 0 52.196 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 52.196 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) 52.197 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J)))) into (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) 52.197 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in K 52.197 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in K 52.197 * [taylor]: Taking taylor expansion of 1/4 in K 52.197 * [backup-simplify]: Simplify 1/4 into 1/4 52.197 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in K 52.197 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 52.197 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 52.197 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 52.197 * [taylor]: Taking taylor expansion of 1/2 in K 52.197 * [backup-simplify]: Simplify 1/2 into 1/2 52.197 * [taylor]: Taking taylor expansion of K in K 52.197 * [backup-simplify]: Simplify 0 into 0 52.197 * [backup-simplify]: Simplify 1 into 1 52.197 * [backup-simplify]: Simplify (* 1/2 0) into 0 52.198 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 52.198 * [taylor]: Taking taylor expansion of J in K 52.198 * [backup-simplify]: Simplify J into J 52.198 * [backup-simplify]: Simplify (* 1 J) into J 52.198 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J) 52.198 * [backup-simplify]: Simplify (* 1/4 (/ 1 J)) into (/ 1/4 J) 52.198 * [backup-simplify]: Simplify (- (/ 1/4 J)) into (- (* 1/4 (/ 1 J))) 52.198 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 J))) in J 52.198 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 J)) in J 52.198 * [taylor]: Taking taylor expansion of 1/4 in J 52.198 * [backup-simplify]: Simplify 1/4 into 1/4 52.198 * [taylor]: Taking taylor expansion of (/ 1 J) in J 52.198 * [taylor]: Taking taylor expansion of J in J 52.198 * [backup-simplify]: Simplify 0 into 0 52.198 * [backup-simplify]: Simplify 1 into 1 52.198 * [backup-simplify]: Simplify (/ 1 1) into 1 52.199 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 52.199 * [backup-simplify]: Simplify (- 1/4) into -1/4 52.199 * [backup-simplify]: Simplify -1/4 into -1/4 52.199 * [taylor]: Taking taylor expansion of 0 in J 52.199 * [backup-simplify]: Simplify 0 into 0 52.199 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 52.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 52.200 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J) 52.200 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 52.201 * [taylor]: Taking taylor expansion of 1/4 in J 52.201 * [backup-simplify]: Simplify 1/4 into 1/4 52.201 * [taylor]: Taking taylor expansion of J in J 52.201 * [backup-simplify]: Simplify 0 into 0 52.201 * [backup-simplify]: Simplify 1 into 1 52.201 * [backup-simplify]: Simplify 0 into 0 52.201 * [backup-simplify]: Simplify 0 into 0 52.201 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2 52.201 * [backup-simplify]: Simplify -2 into -2 52.202 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 52.202 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 52.202 * [backup-simplify]: Simplify (+ 0) into 0 52.202 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 52.203 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 52.204 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 52.204 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 52.204 * [backup-simplify]: Simplify (- 0) into 0 52.205 * [backup-simplify]: Simplify (+ 0 0) into 0 52.205 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 52.205 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 52.206 * [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 52.206 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 52.207 * [backup-simplify]: Simplify (+ 0 0) into 0 52.207 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 52.208 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 52.209 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 52.210 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 52.212 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 52.213 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 52.213 * [backup-simplify]: Simplify (- 0) into 0 52.213 * [backup-simplify]: Simplify (+ 0 0) into 0 52.214 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 52.215 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (+ (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1)))) into 0 52.216 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 52.216 * [taylor]: Taking taylor expansion of 0 in K 52.216 * [backup-simplify]: Simplify 0 into 0 52.216 * [taylor]: Taking taylor expansion of 0 in J 52.216 * [backup-simplify]: Simplify 0 into 0 52.217 * [backup-simplify]: Simplify (+ 0) into 0 52.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 52.217 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 52.218 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 J))) into 0 52.218 * [backup-simplify]: Simplify (- 0) into 0 52.218 * [taylor]: Taking taylor expansion of 0 in J 52.218 * [backup-simplify]: Simplify 0 into 0 52.218 * [taylor]: Taking taylor expansion of 0 in J 52.218 * [backup-simplify]: Simplify 0 into 0 52.219 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 52.221 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 52.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 52.223 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 52.223 * [taylor]: Taking taylor expansion of 0 in J 52.223 * [backup-simplify]: Simplify 0 into 0 52.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 52.224 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 52.225 * [backup-simplify]: Simplify (- 0) into 0 52.225 * [backup-simplify]: Simplify 0 into 0 52.225 * [backup-simplify]: Simplify 0 into 0 52.225 * [backup-simplify]: Simplify (* 1/4 0) into 0 52.225 * [backup-simplify]: Simplify 0 into 0 52.225 * [backup-simplify]: Simplify 0 into 0 52.225 * [backup-simplify]: Simplify 0 into 0 52.226 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 52.226 * [backup-simplify]: Simplify 0 into 0 52.227 * [backup-simplify]: Simplify (+ (* -2 (* J (* 1 1))) (* -1/4 (* (/ 1 J) (* 1 (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 52.228 * [backup-simplify]: Simplify (* (* (* (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) -2) (cos (/ (/ 1 K) 2))) (/ 1 J)) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 52.228 * [approximate]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in (U K J) around 0 52.228 * [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 52.228 * [taylor]: Taking taylor expansion of -2 in J 52.228 * [backup-simplify]: Simplify -2 into -2 52.228 * [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 52.228 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 52.228 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 52.228 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 52.228 * [taylor]: Taking taylor expansion of 1/4 in J 52.228 * [backup-simplify]: Simplify 1/4 into 1/4 52.228 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 52.228 * [taylor]: Taking taylor expansion of (pow J 2) in J 52.228 * [taylor]: Taking taylor expansion of J in J 52.228 * [backup-simplify]: Simplify 0 into 0 52.228 * [backup-simplify]: Simplify 1 into 1 52.228 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 52.228 * [taylor]: Taking taylor expansion of (pow U 2) in J 52.228 * [taylor]: Taking taylor expansion of U in J 52.228 * [backup-simplify]: Simplify U into U 52.228 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 52.228 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 52.228 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 52.228 * [taylor]: Taking taylor expansion of 1/2 in J 52.229 * [backup-simplify]: Simplify 1/2 into 1/2 52.229 * [taylor]: Taking taylor expansion of K in J 52.229 * [backup-simplify]: Simplify K into K 52.229 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 52.229 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 52.229 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 52.229 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 52.229 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 52.229 * [backup-simplify]: Simplify (- 0) into 0 52.229 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 52.230 * [backup-simplify]: Simplify (* 1 1) into 1 52.230 * [backup-simplify]: Simplify (* U U) into (pow U 2) 52.230 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 52.230 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 52.230 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 52.230 * [taylor]: Taking taylor expansion of 1 in J 52.230 * [backup-simplify]: Simplify 1 into 1 52.231 * [backup-simplify]: Simplify (+ 0 1) into 1 52.231 * [backup-simplify]: Simplify (sqrt 1) into 1 52.232 * [backup-simplify]: Simplify (+ 0 0) into 0 52.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 52.232 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 52.233 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 52.233 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 52.233 * [taylor]: Taking taylor expansion of 1/2 in J 52.233 * [backup-simplify]: Simplify 1/2 into 1/2 52.233 * [taylor]: Taking taylor expansion of K in J 52.233 * [backup-simplify]: Simplify K into K 52.233 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 52.233 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 52.233 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 52.233 * [taylor]: Taking taylor expansion of J in J 52.233 * [backup-simplify]: Simplify 0 into 0 52.233 * [backup-simplify]: Simplify 1 into 1 52.233 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 52.233 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 52.233 * [backup-simplify]: Simplify (- 0) into 0 52.234 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 52.234 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 52.234 * [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 52.234 * [taylor]: Taking taylor expansion of -2 in K 52.234 * [backup-simplify]: Simplify -2 into -2 52.234 * [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 52.234 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 52.234 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 52.234 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 52.234 * [taylor]: Taking taylor expansion of 1/4 in K 52.234 * [backup-simplify]: Simplify 1/4 into 1/4 52.234 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 52.234 * [taylor]: Taking taylor expansion of (pow J 2) in K 52.234 * [taylor]: Taking taylor expansion of J in K 52.234 * [backup-simplify]: Simplify J into J 52.234 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 52.234 * [taylor]: Taking taylor expansion of (pow U 2) in K 52.234 * [taylor]: Taking taylor expansion of U in K 52.234 * [backup-simplify]: Simplify U into U 52.234 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 52.234 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 52.234 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 52.234 * [taylor]: Taking taylor expansion of 1/2 in K 52.234 * [backup-simplify]: Simplify 1/2 into 1/2 52.234 * [taylor]: Taking taylor expansion of K in K 52.234 * [backup-simplify]: Simplify 0 into 0 52.234 * [backup-simplify]: Simplify 1 into 1 52.235 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 52.235 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 52.235 * [backup-simplify]: Simplify (* J J) into (pow J 2) 52.235 * [backup-simplify]: Simplify (* U U) into (pow U 2) 52.235 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 52.235 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 52.235 * [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))) 52.235 * [taylor]: Taking taylor expansion of 1 in K 52.236 * [backup-simplify]: Simplify 1 into 1 52.236 * [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)))) 52.236 * [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) 52.237 * [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)) 52.237 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 52.237 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 52.237 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 52.237 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 52.238 * [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 52.239 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 52.239 * [backup-simplify]: Simplify (+ 0 0) into 0 52.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 52.240 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 52.240 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 52.240 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 52.240 * [taylor]: Taking taylor expansion of 1/2 in K 52.240 * [backup-simplify]: Simplify 1/2 into 1/2 52.240 * [taylor]: Taking taylor expansion of K in K 52.240 * [backup-simplify]: Simplify 0 into 0 52.240 * [backup-simplify]: Simplify 1 into 1 52.240 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 52.240 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 52.240 * [taylor]: Taking taylor expansion of J in K 52.240 * [backup-simplify]: Simplify J into J 52.240 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 52.240 * [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 52.240 * [taylor]: Taking taylor expansion of -2 in U 52.240 * [backup-simplify]: Simplify -2 into -2 52.241 * [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 52.241 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 52.241 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 52.241 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 52.241 * [taylor]: Taking taylor expansion of 1/4 in U 52.241 * [backup-simplify]: Simplify 1/4 into 1/4 52.241 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 52.241 * [taylor]: Taking taylor expansion of (pow J 2) in U 52.241 * [taylor]: Taking taylor expansion of J in U 52.241 * [backup-simplify]: Simplify J into J 52.241 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 52.241 * [taylor]: Taking taylor expansion of (pow U 2) in U 52.241 * [taylor]: Taking taylor expansion of U in U 52.241 * [backup-simplify]: Simplify 0 into 0 52.241 * [backup-simplify]: Simplify 1 into 1 52.241 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 52.241 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 52.241 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 52.241 * [taylor]: Taking taylor expansion of 1/2 in U 52.241 * [backup-simplify]: Simplify 1/2 into 1/2 52.241 * [taylor]: Taking taylor expansion of K in U 52.241 * [backup-simplify]: Simplify K into K 52.241 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 52.241 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 52.241 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 52.241 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 52.241 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 52.242 * [backup-simplify]: Simplify (- 0) into 0 52.242 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 52.242 * [backup-simplify]: Simplify (* J J) into (pow J 2) 52.242 * [backup-simplify]: Simplify (* 1 1) into 1 52.243 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 52.243 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 52.243 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 52.243 * [taylor]: Taking taylor expansion of 1 in U 52.243 * [backup-simplify]: Simplify 1 into 1 52.243 * [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))) 52.243 * [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))) 52.244 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 52.244 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 52.244 * [backup-simplify]: Simplify (+ 0) into 0 52.245 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 52.245 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 52.246 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 52.246 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 52.246 * [backup-simplify]: Simplify (- 0) into 0 52.247 * [backup-simplify]: Simplify (+ 0 0) into 0 52.247 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 52.248 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 52.248 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 52.248 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 52.249 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 52.249 * [backup-simplify]: Simplify (+ 0 0) into 0 52.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 52.250 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 52.250 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 52.250 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 52.250 * [taylor]: Taking taylor expansion of 1/2 in U 52.250 * [backup-simplify]: Simplify 1/2 into 1/2 52.250 * [taylor]: Taking taylor expansion of K in U 52.250 * [backup-simplify]: Simplify K into K 52.250 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 52.250 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 52.250 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 52.250 * [taylor]: Taking taylor expansion of J in U 52.250 * [backup-simplify]: Simplify J into J 52.250 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 52.250 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 52.251 * [backup-simplify]: Simplify (- 0) into 0 52.251 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 52.251 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 52.251 * [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 52.251 * [taylor]: Taking taylor expansion of -2 in U 52.251 * [backup-simplify]: Simplify -2 into -2 52.251 * [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 52.251 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 52.251 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 52.251 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 52.251 * [taylor]: Taking taylor expansion of 1/4 in U 52.251 * [backup-simplify]: Simplify 1/4 into 1/4 52.251 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 52.251 * [taylor]: Taking taylor expansion of (pow J 2) in U 52.251 * [taylor]: Taking taylor expansion of J in U 52.251 * [backup-simplify]: Simplify J into J 52.251 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 52.251 * [taylor]: Taking taylor expansion of (pow U 2) in U 52.251 * [taylor]: Taking taylor expansion of U in U 52.251 * [backup-simplify]: Simplify 0 into 0 52.251 * [backup-simplify]: Simplify 1 into 1 52.251 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 52.251 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 52.251 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 52.252 * [taylor]: Taking taylor expansion of 1/2 in U 52.252 * [backup-simplify]: Simplify 1/2 into 1/2 52.252 * [taylor]: Taking taylor expansion of K in U 52.252 * [backup-simplify]: Simplify K into K 52.252 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 52.252 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 52.252 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 52.252 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 52.252 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 52.252 * [backup-simplify]: Simplify (- 0) into 0 52.252 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 52.252 * [backup-simplify]: Simplify (* J J) into (pow J 2) 52.253 * [backup-simplify]: Simplify (* 1 1) into 1 52.253 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 52.253 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 52.253 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 52.253 * [taylor]: Taking taylor expansion of 1 in U 52.253 * [backup-simplify]: Simplify 1 into 1 52.254 * [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))) 52.254 * [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))) 52.254 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 52.254 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 52.255 * [backup-simplify]: Simplify (+ 0) into 0 52.255 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 52.255 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 52.256 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 52.257 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 52.257 * [backup-simplify]: Simplify (- 0) into 0 52.257 * [backup-simplify]: Simplify (+ 0 0) into 0 52.257 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 52.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 52.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 52.259 * [backup-simplify]: 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 52.260 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 52.260 * [backup-simplify]: Simplify (+ 0 0) into 0 52.260 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 52.260 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 52.260 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 52.260 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 52.261 * [taylor]: Taking taylor expansion of 1/2 in U 52.261 * [backup-simplify]: Simplify 1/2 into 1/2 52.261 * [taylor]: Taking taylor expansion of K in U 52.261 * [backup-simplify]: Simplify K into K 52.261 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 52.261 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 52.261 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 52.261 * [taylor]: Taking taylor expansion of J in U 52.261 * [backup-simplify]: Simplify J into J 52.261 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 52.261 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 52.261 * [backup-simplify]: Simplify (- 0) into 0 52.261 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 52.262 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 52.262 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2 52.262 * [backup-simplify]: Simplify (* -2 1/2) into -1 52.262 * [taylor]: Taking taylor expansion of -1 in K 52.262 * [backup-simplify]: Simplify -1 into -1 52.262 * [taylor]: Taking taylor expansion of -1 in J 52.262 * [backup-simplify]: Simplify -1 into -1 52.263 * [backup-simplify]: Simplify (+ 0) into 0 52.263 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 52.263 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 52.264 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 52.265 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 52.265 * [backup-simplify]: Simplify (- 0) into 0 52.265 * [backup-simplify]: Simplify (+ 0 0) into 0 52.266 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 52.266 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 52.267 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 52.267 * [taylor]: Taking taylor expansion of 0 in K 52.267 * [backup-simplify]: Simplify 0 into 0 52.267 * [taylor]: Taking taylor expansion of 0 in J 52.267 * [backup-simplify]: Simplify 0 into 0 52.267 * [taylor]: Taking taylor expansion of 0 in J 52.267 * [backup-simplify]: Simplify 0 into 0 52.267 * [backup-simplify]: Simplify -1 into -1 52.268 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 52.269 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 52.269 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 52.270 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 52.270 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 52.271 * [backup-simplify]: Simplify (- 0) into 0 52.271 * [backup-simplify]: Simplify (+ 0 0) into 0 52.271 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 52.272 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 52.273 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 52.279 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 52.279 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 52.280 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 52.281 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 52.281 * [backup-simplify]: Simplify (- 0) into 0 52.282 * [backup-simplify]: Simplify (+ 0 0) into 0 52.282 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 52.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 52.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 52.284 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 52.284 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 52.284 * [backup-simplify]: Simplify (+ 0 1) into 1 52.285 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 52.285 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (/ (cos (/ 1/2 K)) J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 52.286 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 52.286 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in K 52.286 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in K 52.286 * [taylor]: Taking taylor expansion of 2 in K 52.286 * [backup-simplify]: Simplify 2 into 2 52.286 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in K 52.286 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 52.286 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 52.286 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 52.286 * [taylor]: Taking taylor expansion of 1/2 in K 52.286 * [backup-simplify]: Simplify 1/2 into 1/2 52.286 * [taylor]: Taking taylor expansion of K in K 52.286 * [backup-simplify]: Simplify 0 into 0 52.286 * [backup-simplify]: Simplify 1 into 1 52.287 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 52.287 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 52.287 * [taylor]: Taking taylor expansion of (pow J 2) in K 52.287 * [taylor]: Taking taylor expansion of J in K 52.287 * [backup-simplify]: Simplify J into J 52.287 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 52.287 * [backup-simplify]: Simplify (* J J) into (pow J 2) 52.287 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 52.287 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 52.287 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 52.287 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 52.287 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 52.287 * [taylor]: Taking taylor expansion of 2 in J 52.287 * [backup-simplify]: Simplify 2 into 2 52.287 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 52.287 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 52.287 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 52.288 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 52.288 * [taylor]: Taking taylor expansion of 1/2 in J 52.288 * [backup-simplify]: Simplify 1/2 into 1/2 52.288 * [taylor]: Taking taylor expansion of K in J 52.288 * [backup-simplify]: Simplify K into K 52.288 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 52.288 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 52.288 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 52.288 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 52.288 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 52.288 * [backup-simplify]: Simplify (- 0) into 0 52.288 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 52.288 * [taylor]: Taking taylor expansion of (pow J 2) in J 52.288 * [taylor]: Taking taylor expansion of J in J 52.288 * [backup-simplify]: Simplify 0 into 0 52.288 * [backup-simplify]: Simplify 1 into 1 52.288 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 52.288 * [backup-simplify]: Simplify (* 1 1) into 1 52.289 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 52.289 * [backup-simplify]: Simplify (+ 0) into 0 52.289 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 52.289 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 52.290 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 52.290 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 52.290 * [backup-simplify]: Simplify (- 0) into 0 52.291 * [backup-simplify]: Simplify (+ 0 0) into 0 52.291 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 52.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 52.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 52.292 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 52.292 * [backup-simplify]: Simplify (- 0) into 0 52.292 * [backup-simplify]: Simplify 0 into 0 52.292 * [taylor]: Taking taylor expansion of 0 in J 52.292 * [backup-simplify]: Simplify 0 into 0 52.292 * [taylor]: Taking taylor expansion of 0 in J 52.292 * [backup-simplify]: Simplify 0 into 0 52.292 * [backup-simplify]: Simplify 0 into 0 52.293 * [backup-simplify]: Simplify 0 into 0 52.293 * [backup-simplify]: Simplify 0 into 0 52.293 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 52.294 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 52.294 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 52.295 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 52.295 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 52.295 * [backup-simplify]: Simplify (- 0) into 0 52.295 * [backup-simplify]: Simplify (+ 0 0) into 0 52.296 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 52.296 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 52.297 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 52.297 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 52.297 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 52.298 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 52.299 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 52.299 * [backup-simplify]: Simplify (- 0) into 0 52.299 * [backup-simplify]: Simplify (+ 0 0) into 0 52.300 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 52.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 52.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 52.301 * [backup-simplify]: 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 52.302 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 52.302 * [backup-simplify]: Simplify (+ 0 0) into 0 52.302 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 52.303 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0 52.304 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 52.304 * [taylor]: Taking taylor expansion of 0 in K 52.304 * [backup-simplify]: Simplify 0 into 0 52.304 * [taylor]: Taking taylor expansion of 0 in J 52.304 * [backup-simplify]: Simplify 0 into 0 52.304 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 52.304 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 52.304 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 52.304 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into 0 52.305 * [backup-simplify]: Simplify (- 0) into 0 52.305 * [taylor]: Taking taylor expansion of 0 in J 52.305 * [backup-simplify]: Simplify 0 into 0 52.305 * [taylor]: Taking taylor expansion of 0 in J 52.305 * [backup-simplify]: Simplify 0 into 0 52.305 * [taylor]: Taking taylor expansion of 0 in J 52.305 * [backup-simplify]: Simplify 0 into 0 52.305 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 52.306 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 52.306 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 52.307 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 52.307 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 52.308 * [backup-simplify]: Simplify (- 0) into 0 52.308 * [backup-simplify]: Simplify (+ 0 0) into 0 52.308 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 52.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 52.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.312 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 52.312 * [backup-simplify]: Simplify (- 0) into 0 52.312 * [backup-simplify]: Simplify 0 into 0 52.312 * [backup-simplify]: Simplify 0 into 0 52.312 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 52.313 * [backup-simplify]: Simplify (* (* (* (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) -2) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- J))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 52.313 * [approximate]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in (U K J) around 0 52.313 * [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 52.313 * [taylor]: Taking taylor expansion of 2 in J 52.313 * [backup-simplify]: Simplify 2 into 2 52.313 * [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 52.313 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 52.313 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 52.313 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 52.313 * [taylor]: Taking taylor expansion of -1/2 in J 52.313 * [backup-simplify]: Simplify -1/2 into -1/2 52.313 * [taylor]: Taking taylor expansion of K in J 52.313 * [backup-simplify]: Simplify K into K 52.314 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 52.314 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 52.314 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 52.314 * [taylor]: Taking taylor expansion of J in J 52.314 * [backup-simplify]: Simplify 0 into 0 52.314 * [backup-simplify]: Simplify 1 into 1 52.314 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 52.314 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 52.314 * [backup-simplify]: Simplify (- 0) into 0 52.314 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 52.314 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 52.315 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 52.315 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 52.315 * [taylor]: Taking taylor expansion of 1 in J 52.315 * [backup-simplify]: Simplify 1 into 1 52.315 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 52.315 * [taylor]: Taking taylor expansion of 1/4 in J 52.315 * [backup-simplify]: Simplify 1/4 into 1/4 52.315 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 52.315 * [taylor]: Taking taylor expansion of (pow J 2) in J 52.315 * [taylor]: Taking taylor expansion of J in J 52.315 * [backup-simplify]: Simplify 0 into 0 52.315 * [backup-simplify]: Simplify 1 into 1 52.315 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 52.315 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 52.315 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 52.315 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 52.315 * [taylor]: Taking taylor expansion of -1/2 in J 52.315 * [backup-simplify]: Simplify -1/2 into -1/2 52.315 * [taylor]: Taking taylor expansion of K in J 52.315 * [backup-simplify]: Simplify K into K 52.315 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 52.315 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 52.315 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 52.315 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 52.315 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 52.316 * [backup-simplify]: Simplify (- 0) into 0 52.316 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 52.316 * [taylor]: Taking taylor expansion of (pow U 2) in J 52.316 * [taylor]: Taking taylor expansion of U in J 52.316 * [backup-simplify]: Simplify U into U 52.316 * [backup-simplify]: Simplify (* 1 1) into 1 52.316 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 52.317 * [backup-simplify]: Simplify (* U U) into (pow U 2) 52.317 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 52.317 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 52.317 * [backup-simplify]: Simplify (+ 1 0) into 1 52.318 * [backup-simplify]: Simplify (sqrt 1) into 1 52.318 * [backup-simplify]: Simplify (+ 0 0) into 0 52.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 52.319 * [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 52.319 * [taylor]: Taking taylor expansion of 2 in K 52.319 * [backup-simplify]: Simplify 2 into 2 52.319 * [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 52.319 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 52.319 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 52.319 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 52.319 * [taylor]: Taking taylor expansion of -1/2 in K 52.319 * [backup-simplify]: Simplify -1/2 into -1/2 52.319 * [taylor]: Taking taylor expansion of K in K 52.319 * [backup-simplify]: Simplify 0 into 0 52.319 * [backup-simplify]: Simplify 1 into 1 52.320 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 52.320 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 52.320 * [taylor]: Taking taylor expansion of J in K 52.320 * [backup-simplify]: Simplify J into J 52.320 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 52.320 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 52.320 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 52.320 * [taylor]: Taking taylor expansion of 1 in K 52.320 * [backup-simplify]: Simplify 1 into 1 52.320 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 52.320 * [taylor]: Taking taylor expansion of 1/4 in K 52.320 * [backup-simplify]: Simplify 1/4 into 1/4 52.320 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 52.320 * [taylor]: Taking taylor expansion of (pow J 2) in K 52.320 * [taylor]: Taking taylor expansion of J in K 52.320 * [backup-simplify]: Simplify J into J 52.320 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 52.320 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 52.320 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 52.320 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 52.320 * [taylor]: Taking taylor expansion of -1/2 in K 52.320 * [backup-simplify]: Simplify -1/2 into -1/2 52.320 * [taylor]: Taking taylor expansion of K in K 52.320 * [backup-simplify]: Simplify 0 into 0 52.320 * [backup-simplify]: Simplify 1 into 1 52.321 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 52.321 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 52.321 * [taylor]: Taking taylor expansion of (pow U 2) in K 52.321 * [taylor]: Taking taylor expansion of U in K 52.321 * [backup-simplify]: Simplify U into U 52.321 * [backup-simplify]: Simplify (* J J) into (pow J 2) 52.321 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 52.321 * [backup-simplify]: Simplify (* U U) into (pow U 2) 52.321 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 52.322 * [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))) 52.322 * [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)))) 52.322 * [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))))) 52.323 * [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)))))) 52.323 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 52.323 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 52.323 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 52.323 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 52.324 * [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 52.325 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 52.325 * [backup-simplify]: Simplify (+ 0 0) into 0 52.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 52.326 * [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 52.326 * [taylor]: Taking taylor expansion of 2 in U 52.326 * [backup-simplify]: Simplify 2 into 2 52.326 * [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 52.326 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 52.326 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 52.326 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 52.326 * [taylor]: Taking taylor expansion of -1/2 in U 52.326 * [backup-simplify]: Simplify -1/2 into -1/2 52.326 * [taylor]: Taking taylor expansion of K in U 52.326 * [backup-simplify]: Simplify K into K 52.326 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 52.326 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 52.326 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 52.326 * [taylor]: Taking taylor expansion of J in U 52.326 * [backup-simplify]: Simplify J into J 52.326 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 52.326 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 52.327 * [backup-simplify]: Simplify (- 0) into 0 52.327 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 52.327 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 52.327 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 52.327 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 52.327 * [taylor]: Taking taylor expansion of 1 in U 52.327 * [backup-simplify]: Simplify 1 into 1 52.327 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 52.327 * [taylor]: Taking taylor expansion of 1/4 in U 52.327 * [backup-simplify]: Simplify 1/4 into 1/4 52.327 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 52.327 * [taylor]: Taking taylor expansion of (pow J 2) in U 52.327 * [taylor]: Taking taylor expansion of J in U 52.327 * [backup-simplify]: Simplify J into J 52.327 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 52.327 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 52.327 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 52.327 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 52.327 * [taylor]: Taking taylor expansion of -1/2 in U 52.328 * [backup-simplify]: Simplify -1/2 into -1/2 52.328 * [taylor]: Taking taylor expansion of K in U 52.328 * [backup-simplify]: Simplify K into K 52.328 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 52.328 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 52.328 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 52.328 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 52.328 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 52.328 * [backup-simplify]: Simplify (- 0) into 0 52.328 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 52.328 * [taylor]: Taking taylor expansion of (pow U 2) in U 52.328 * [taylor]: Taking taylor expansion of U in U 52.328 * [backup-simplify]: Simplify 0 into 0 52.328 * [backup-simplify]: Simplify 1 into 1 52.329 * [backup-simplify]: Simplify (* J J) into (pow J 2) 52.329 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 52.329 * [backup-simplify]: Simplify (* 1 1) into 1 52.329 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 52.329 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 52.330 * [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))) 52.330 * [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))) 52.330 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 52.330 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 52.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 52.331 * [backup-simplify]: Simplify (+ 0) into 0 52.332 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 52.332 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 52.333 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 52.333 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 52.334 * [backup-simplify]: Simplify (- 0) into 0 52.334 * [backup-simplify]: Simplify (+ 0 0) into 0 52.334 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 52.335 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 52.335 * [backup-simplify]: 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 52.336 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 52.336 * [backup-simplify]: Simplify (+ 0 0) into 0 52.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 52.337 * [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 52.337 * [taylor]: Taking taylor expansion of 2 in U 52.337 * [backup-simplify]: Simplify 2 into 2 52.337 * [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 52.337 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 52.337 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 52.337 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 52.337 * [taylor]: Taking taylor expansion of -1/2 in U 52.337 * [backup-simplify]: Simplify -1/2 into -1/2 52.337 * [taylor]: Taking taylor expansion of K in U 52.337 * [backup-simplify]: Simplify K into K 52.337 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 52.337 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 52.337 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 52.337 * [taylor]: Taking taylor expansion of J in U 52.337 * [backup-simplify]: Simplify J into J 52.337 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 52.337 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 52.338 * [backup-simplify]: Simplify (- 0) into 0 52.338 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 52.338 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 52.338 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 52.338 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 52.338 * [taylor]: Taking taylor expansion of 1 in U 52.338 * [backup-simplify]: Simplify 1 into 1 52.338 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 52.338 * [taylor]: Taking taylor expansion of 1/4 in U 52.338 * [backup-simplify]: Simplify 1/4 into 1/4 52.338 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 52.338 * [taylor]: Taking taylor expansion of (pow J 2) in U 52.338 * [taylor]: Taking taylor expansion of J in U 52.338 * [backup-simplify]: Simplify J into J 52.338 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 52.338 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 52.338 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 52.338 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 52.338 * [taylor]: Taking taylor expansion of -1/2 in U 52.338 * [backup-simplify]: Simplify -1/2 into -1/2 52.338 * [taylor]: Taking taylor expansion of K in U 52.338 * [backup-simplify]: Simplify K into K 52.338 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 52.338 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 52.338 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 52.338 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 52.338 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 52.339 * [backup-simplify]: Simplify (- 0) into 0 52.339 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 52.339 * [taylor]: Taking taylor expansion of (pow U 2) in U 52.339 * [taylor]: Taking taylor expansion of U in U 52.339 * [backup-simplify]: Simplify 0 into 0 52.339 * [backup-simplify]: Simplify 1 into 1 52.339 * [backup-simplify]: Simplify (* J J) into (pow J 2) 52.339 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 52.339 * [backup-simplify]: Simplify (* 1 1) into 1 52.339 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 52.339 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 52.340 * [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))) 52.340 * [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))) 52.340 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 52.340 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 52.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 52.341 * [backup-simplify]: Simplify (+ 0) into 0 52.341 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 52.341 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 52.341 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 52.342 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 52.342 * [backup-simplify]: Simplify (- 0) into 0 52.342 * [backup-simplify]: Simplify (+ 0 0) into 0 52.342 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 52.343 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 52.343 * [backup-simplify]: 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 52.343 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 52.344 * [backup-simplify]: Simplify (+ 0 0) into 0 52.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 52.344 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2 52.344 * [backup-simplify]: Simplify (* 2 1/2) into 1 52.344 * [taylor]: Taking taylor expansion of 1 in K 52.344 * [backup-simplify]: Simplify 1 into 1 52.344 * [taylor]: Taking taylor expansion of 1 in J 52.344 * [backup-simplify]: Simplify 1 into 1 52.344 * [backup-simplify]: Simplify (+ 0) into 0 52.345 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 52.345 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 52.345 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 52.346 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 52.346 * [backup-simplify]: Simplify (- 0) into 0 52.346 * [backup-simplify]: Simplify (+ 0 0) into 0 52.346 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 52.346 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 52.347 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 52.347 * [taylor]: Taking taylor expansion of 0 in K 52.347 * [backup-simplify]: Simplify 0 into 0 52.347 * [taylor]: Taking taylor expansion of 0 in J 52.347 * [backup-simplify]: Simplify 0 into 0 52.347 * [taylor]: Taking taylor expansion of 0 in J 52.347 * [backup-simplify]: Simplify 0 into 0 52.347 * [backup-simplify]: Simplify 1 into 1 52.347 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 52.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 52.348 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 52.349 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 52.349 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 52.350 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 52.350 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 52.350 * [backup-simplify]: Simplify (- 0) into 0 52.350 * [backup-simplify]: Simplify (+ 0 0) into 0 52.351 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 52.351 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 52.352 * [backup-simplify]: 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 52.352 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 52.352 * [backup-simplify]: Simplify (+ 1 0) into 1 52.353 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 52.353 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 52.354 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 52.354 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 52.354 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 52.355 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 52.355 * [backup-simplify]: Simplify (- 0) into 0 52.355 * [backup-simplify]: Simplify (+ 0 0) into 0 52.355 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 52.356 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 52.356 * [backup-simplify]: Simplify (+ (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 52.356 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in K 52.356 * [taylor]: Taking taylor expansion of 2 in K 52.356 * [backup-simplify]: Simplify 2 into 2 52.356 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in K 52.356 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 52.356 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 52.357 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 52.357 * [taylor]: Taking taylor expansion of -1/2 in K 52.357 * [backup-simplify]: Simplify -1/2 into -1/2 52.357 * [taylor]: Taking taylor expansion of K in K 52.357 * [backup-simplify]: Simplify 0 into 0 52.357 * [backup-simplify]: Simplify 1 into 1 52.357 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 52.357 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 52.357 * [taylor]: Taking taylor expansion of (pow J 2) in K 52.357 * [taylor]: Taking taylor expansion of J in K 52.357 * [backup-simplify]: Simplify J into J 52.357 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 52.357 * [backup-simplify]: Simplify (* J J) into (pow J 2) 52.357 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 52.357 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 52.357 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 52.357 * [taylor]: Taking taylor expansion of 2 in J 52.357 * [backup-simplify]: Simplify 2 into 2 52.357 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 52.357 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 52.357 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 52.357 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 52.357 * [taylor]: Taking taylor expansion of -1/2 in J 52.357 * [backup-simplify]: Simplify -1/2 into -1/2 52.357 * [taylor]: Taking taylor expansion of K in J 52.357 * [backup-simplify]: Simplify K into K 52.358 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 52.358 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 52.358 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 52.358 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 52.358 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 52.358 * [backup-simplify]: Simplify (- 0) into 0 52.358 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 52.358 * [taylor]: Taking taylor expansion of (pow J 2) in J 52.358 * [taylor]: Taking taylor expansion of J in J 52.358 * [backup-simplify]: Simplify 0 into 0 52.358 * [backup-simplify]: Simplify 1 into 1 52.358 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 52.358 * [backup-simplify]: Simplify (* 1 1) into 1 52.358 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 52.359 * [backup-simplify]: Simplify (+ 0) into 0 52.359 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 52.359 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 52.360 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 52.360 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 52.360 * [backup-simplify]: Simplify (- 0) into 0 52.360 * [backup-simplify]: Simplify (+ 0 0) into 0 52.360 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 52.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 52.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 52.362 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 52.362 * [backup-simplify]: Simplify 0 into 0 52.362 * [taylor]: Taking taylor expansion of 0 in J 52.362 * [backup-simplify]: Simplify 0 into 0 52.362 * [taylor]: Taking taylor expansion of 0 in J 52.362 * [backup-simplify]: Simplify 0 into 0 52.362 * [backup-simplify]: Simplify 0 into 0 52.362 * [backup-simplify]: Simplify 0 into 0 52.362 * [backup-simplify]: Simplify 0 into 0 52.362 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 52.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 52.364 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 52.364 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 52.364 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 52.365 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 52.365 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 52.366 * [backup-simplify]: Simplify (- 0) into 0 52.366 * [backup-simplify]: Simplify (+ 0 0) into 0 52.367 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 52.368 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 52.368 * [backup-simplify]: 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 52.370 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 52.370 * [backup-simplify]: Simplify (+ 0 0) into 0 52.370 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 52.371 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 52.372 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 52.372 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 52.374 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 52.375 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 52.375 * [backup-simplify]: Simplify (- 0) into 0 52.375 * [backup-simplify]: Simplify (+ 0 0) into 0 52.376 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 52.376 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 52.378 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 52.378 * [taylor]: Taking taylor expansion of 0 in K 52.378 * [backup-simplify]: Simplify 0 into 0 52.378 * [taylor]: Taking taylor expansion of 0 in J 52.378 * [backup-simplify]: Simplify 0 into 0 52.378 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 52.378 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 52.378 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 52.379 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) into 0 52.379 * [taylor]: Taking taylor expansion of 0 in J 52.379 * [backup-simplify]: Simplify 0 into 0 52.379 * [taylor]: Taking taylor expansion of 0 in J 52.379 * [backup-simplify]: Simplify 0 into 0 52.379 * [taylor]: Taking taylor expansion of 0 in J 52.379 * [backup-simplify]: Simplify 0 into 0 52.380 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 52.381 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 52.381 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 52.382 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 52.382 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 52.383 * [backup-simplify]: Simplify (- 0) into 0 52.383 * [backup-simplify]: Simplify (+ 0 0) into 0 52.384 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 52.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 52.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.387 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 52.387 * [backup-simplify]: Simplify 0 into 0 52.387 * [backup-simplify]: Simplify 0 into 0 52.388 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 52.388 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 52.388 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 52.388 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0 52.388 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 52.388 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 52.388 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 52.388 * [taylor]: Taking taylor expansion of 1/4 in J 52.388 * [backup-simplify]: Simplify 1/4 into 1/4 52.388 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 52.388 * [taylor]: Taking taylor expansion of (pow U 2) in J 52.388 * [taylor]: Taking taylor expansion of U in J 52.388 * [backup-simplify]: Simplify U into U 52.388 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 52.388 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 52.388 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 52.388 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 52.389 * [taylor]: Taking taylor expansion of 1/2 in J 52.389 * [backup-simplify]: Simplify 1/2 into 1/2 52.389 * [taylor]: Taking taylor expansion of K in J 52.389 * [backup-simplify]: Simplify K into K 52.389 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 52.389 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 52.389 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 52.389 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 52.389 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 52.389 * [backup-simplify]: Simplify (- 0) into 0 52.389 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 52.389 * [taylor]: Taking taylor expansion of (pow J 2) in J 52.389 * [taylor]: Taking taylor expansion of J in J 52.390 * [backup-simplify]: Simplify 0 into 0 52.390 * [backup-simplify]: Simplify 1 into 1 52.390 * [backup-simplify]: Simplify (* U U) into (pow U 2) 52.390 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 52.390 * [backup-simplify]: Simplify (* 1 1) into 1 52.390 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 52.390 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 52.390 * [taylor]: Taking taylor expansion of 1 in J 52.390 * [backup-simplify]: Simplify 1 into 1 52.391 * [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))) 52.391 * [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))) 52.391 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 52.391 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 52.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 52.397 * [backup-simplify]: Simplify (+ 0) into 0 52.398 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 52.398 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 52.399 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 52.400 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 52.400 * [backup-simplify]: Simplify (- 0) into 0 52.400 * [backup-simplify]: Simplify (+ 0 0) into 0 52.400 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 52.401 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 52.401 * [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 52.402 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 52.402 * [backup-simplify]: Simplify (+ 0 0) into 0 52.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 52.402 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 52.402 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 52.402 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 52.403 * [taylor]: Taking taylor expansion of 1/4 in K 52.403 * [backup-simplify]: Simplify 1/4 into 1/4 52.403 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 52.403 * [taylor]: Taking taylor expansion of (pow U 2) in K 52.403 * [taylor]: Taking taylor expansion of U in K 52.403 * [backup-simplify]: Simplify U into U 52.403 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 52.403 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 52.403 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 52.403 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 52.403 * [taylor]: Taking taylor expansion of 1/2 in K 52.403 * [backup-simplify]: Simplify 1/2 into 1/2 52.403 * [taylor]: Taking taylor expansion of K in K 52.403 * [backup-simplify]: Simplify 0 into 0 52.403 * [backup-simplify]: Simplify 1 into 1 52.403 * [backup-simplify]: Simplify (* 1/2 0) into 0 52.403 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 52.403 * [taylor]: Taking taylor expansion of (pow J 2) in K 52.404 * [taylor]: Taking taylor expansion of J in K 52.404 * [backup-simplify]: Simplify J into J 52.404 * [backup-simplify]: Simplify (* U U) into (pow U 2) 52.404 * [backup-simplify]: Simplify (* 1 1) into 1 52.404 * [backup-simplify]: Simplify (* J J) into (pow J 2) 52.404 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 52.404 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 52.404 * [taylor]: Taking taylor expansion of 1 in K 52.404 * [backup-simplify]: Simplify 1 into 1 52.404 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 52.404 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 52.404 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 52.404 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 52.405 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 52.405 * [backup-simplify]: Simplify (+ 0) into 0 52.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 52.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 52.406 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 52.406 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 52.406 * [backup-simplify]: Simplify (+ 0 0) into 0 52.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 52.406 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 52.406 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 52.407 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 52.407 * [taylor]: Taking taylor expansion of 1/4 in U 52.407 * [backup-simplify]: Simplify 1/4 into 1/4 52.407 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 52.407 * [taylor]: Taking taylor expansion of (pow U 2) in U 52.407 * [taylor]: Taking taylor expansion of U in U 52.407 * [backup-simplify]: Simplify 0 into 0 52.407 * [backup-simplify]: Simplify 1 into 1 52.407 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 52.407 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 52.407 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 52.407 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 52.407 * [taylor]: Taking taylor expansion of 1/2 in U 52.407 * [backup-simplify]: Simplify 1/2 into 1/2 52.407 * [taylor]: Taking taylor expansion of K in U 52.407 * [backup-simplify]: Simplify K into K 52.407 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 52.407 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 52.407 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 52.407 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 52.407 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 52.407 * [backup-simplify]: Simplify (- 0) into 0 52.407 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 52.407 * [taylor]: Taking taylor expansion of (pow J 2) in U 52.407 * [taylor]: Taking taylor expansion of J in U 52.407 * [backup-simplify]: Simplify J into J 52.408 * [backup-simplify]: Simplify (* 1 1) into 1 52.408 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 52.408 * [backup-simplify]: Simplify (* J J) into (pow J 2) 52.408 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 52.408 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 52.408 * [taylor]: Taking taylor expansion of 1 in U 52.408 * [backup-simplify]: Simplify 1 into 1 52.408 * [backup-simplify]: Simplify (+ 0 1) into 1 52.409 * [backup-simplify]: Simplify (sqrt 1) into 1 52.409 * [backup-simplify]: Simplify (+ 0 0) into 0 52.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 52.409 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 52.409 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 52.409 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 52.409 * [taylor]: Taking taylor expansion of 1/4 in U 52.409 * [backup-simplify]: Simplify 1/4 into 1/4 52.409 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 52.409 * [taylor]: Taking taylor expansion of (pow U 2) in U 52.409 * [taylor]: Taking taylor expansion of U in U 52.409 * [backup-simplify]: Simplify 0 into 0 52.409 * [backup-simplify]: Simplify 1 into 1 52.409 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 52.409 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 52.409 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 52.409 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 52.409 * [taylor]: Taking taylor expansion of 1/2 in U 52.409 * [backup-simplify]: Simplify 1/2 into 1/2 52.409 * [taylor]: Taking taylor expansion of K in U 52.409 * [backup-simplify]: Simplify K into K 52.410 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 52.410 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 52.410 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 52.410 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 52.410 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 52.410 * [backup-simplify]: Simplify (- 0) into 0 52.410 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 52.410 * [taylor]: Taking taylor expansion of (pow J 2) in U 52.410 * [taylor]: Taking taylor expansion of J in U 52.410 * [backup-simplify]: Simplify J into J 52.410 * [backup-simplify]: Simplify (* 1 1) into 1 52.410 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 52.410 * [backup-simplify]: Simplify (* J J) into (pow J 2) 52.411 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 52.411 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 52.411 * [taylor]: Taking taylor expansion of 1 in U 52.411 * [backup-simplify]: Simplify 1 into 1 52.411 * [backup-simplify]: Simplify (+ 0 1) into 1 52.411 * [backup-simplify]: Simplify (sqrt 1) into 1 52.411 * [backup-simplify]: Simplify (+ 0 0) into 0 52.412 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 52.412 * [taylor]: Taking taylor expansion of 1 in K 52.412 * [backup-simplify]: Simplify 1 into 1 52.412 * [taylor]: Taking taylor expansion of 1 in J 52.412 * [backup-simplify]: Simplify 1 into 1 52.412 * [taylor]: Taking taylor expansion of 0 in K 52.412 * [backup-simplify]: Simplify 0 into 0 52.412 * [taylor]: Taking taylor expansion of 0 in J 52.412 * [backup-simplify]: Simplify 0 into 0 52.412 * [taylor]: Taking taylor expansion of 0 in J 52.412 * [backup-simplify]: Simplify 0 into 0 52.412 * [backup-simplify]: Simplify 1 into 1 52.412 * [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))) 52.412 * [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)))) 52.413 * [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))) 52.413 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 52.413 * [taylor]: Taking taylor expansion of 1/8 in K 52.413 * [backup-simplify]: Simplify 1/8 into 1/8 52.413 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 52.413 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 52.413 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 52.413 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 52.413 * [taylor]: Taking taylor expansion of 1/2 in K 52.413 * [backup-simplify]: Simplify 1/2 into 1/2 52.413 * [taylor]: Taking taylor expansion of K in K 52.413 * [backup-simplify]: Simplify 0 into 0 52.413 * [backup-simplify]: Simplify 1 into 1 52.414 * [backup-simplify]: Simplify (* 1/2 0) into 0 52.414 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 52.414 * [taylor]: Taking taylor expansion of (pow J 2) in K 52.414 * [taylor]: Taking taylor expansion of J in K 52.414 * [backup-simplify]: Simplify J into J 52.414 * [backup-simplify]: Simplify (* 1 1) into 1 52.415 * [backup-simplify]: Simplify (* J J) into (pow J 2) 52.415 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 52.415 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 52.415 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 52.415 * [taylor]: Taking taylor expansion of 1/8 in J 52.415 * [backup-simplify]: Simplify 1/8 into 1/8 52.415 * [taylor]: Taking taylor expansion of (pow J 2) in J 52.415 * [taylor]: Taking taylor expansion of J in J 52.415 * [backup-simplify]: Simplify 0 into 0 52.415 * [backup-simplify]: Simplify 1 into 1 52.415 * [backup-simplify]: Simplify (* 1 1) into 1 52.415 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 52.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 52.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 52.416 * [backup-simplify]: Simplify 0 into 0 52.416 * [taylor]: Taking taylor expansion of 0 in J 52.416 * [backup-simplify]: Simplify 0 into 0 52.416 * [taylor]: Taking taylor expansion of 0 in J 52.416 * [backup-simplify]: Simplify 0 into 0 52.416 * [backup-simplify]: Simplify 0 into 0 52.416 * [backup-simplify]: Simplify 0 into 0 52.416 * [backup-simplify]: Simplify 0 into 0 52.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 52.417 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 52.417 * [backup-simplify]: Simplify (+ 0) into 0 52.418 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 52.418 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 52.418 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 52.419 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 52.419 * [backup-simplify]: Simplify (- 0) into 0 52.419 * [backup-simplify]: Simplify (+ 0 0) into 0 52.419 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 52.419 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 52.420 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 52.420 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 52.420 * [backup-simplify]: Simplify (+ 0 0) into 0 52.421 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 52.421 * [taylor]: Taking taylor expansion of 0 in K 52.421 * [backup-simplify]: Simplify 0 into 0 52.421 * [taylor]: Taking taylor expansion of 0 in J 52.421 * [backup-simplify]: Simplify 0 into 0 52.421 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 52.421 * [backup-simplify]: Simplify (+ 0) into 0 52.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 52.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 52.422 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 52.422 * [taylor]: Taking taylor expansion of 0 in J 52.422 * [backup-simplify]: Simplify 0 into 0 52.422 * [taylor]: Taking taylor expansion of 0 in J 52.422 * [backup-simplify]: Simplify 0 into 0 52.422 * [taylor]: Taking taylor expansion of 0 in J 52.422 * [backup-simplify]: Simplify 0 into 0 52.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 52.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.423 * [backup-simplify]: Simplify 0 into 0 52.423 * [backup-simplify]: Simplify 0 into 0 52.423 * [backup-simplify]: Simplify 1 into 1 52.424 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 52.424 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0 52.424 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 52.424 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 52.424 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 52.424 * [taylor]: Taking taylor expansion of 1/4 in J 52.424 * [backup-simplify]: Simplify 1/4 into 1/4 52.424 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 52.424 * [taylor]: Taking taylor expansion of (pow J 2) in J 52.424 * [taylor]: Taking taylor expansion of J in J 52.424 * [backup-simplify]: Simplify 0 into 0 52.424 * [backup-simplify]: Simplify 1 into 1 52.424 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 52.424 * [taylor]: Taking taylor expansion of (pow U 2) in J 52.424 * [taylor]: Taking taylor expansion of U in J 52.424 * [backup-simplify]: Simplify U into U 52.424 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 52.424 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 52.424 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 52.424 * [taylor]: Taking taylor expansion of 1/2 in J 52.424 * [backup-simplify]: Simplify 1/2 into 1/2 52.424 * [taylor]: Taking taylor expansion of K in J 52.424 * [backup-simplify]: Simplify K into K 52.424 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 52.424 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 52.424 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 52.424 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 52.424 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 52.424 * [backup-simplify]: Simplify (- 0) into 0 52.424 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 52.425 * [backup-simplify]: Simplify (* 1 1) into 1 52.425 * [backup-simplify]: Simplify (* U U) into (pow U 2) 52.425 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 52.425 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 52.425 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 52.425 * [taylor]: Taking taylor expansion of 1 in J 52.425 * [backup-simplify]: Simplify 1 into 1 52.425 * [backup-simplify]: Simplify (+ 0 1) into 1 52.426 * [backup-simplify]: Simplify (sqrt 1) into 1 52.426 * [backup-simplify]: Simplify (+ 0 0) into 0 52.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 52.426 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 52.426 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 52.426 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 52.426 * [taylor]: Taking taylor expansion of 1/4 in K 52.426 * [backup-simplify]: Simplify 1/4 into 1/4 52.426 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 52.426 * [taylor]: Taking taylor expansion of (pow J 2) in K 52.426 * [taylor]: Taking taylor expansion of J in K 52.426 * [backup-simplify]: Simplify J into J 52.426 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 52.426 * [taylor]: Taking taylor expansion of (pow U 2) in K 52.426 * [taylor]: Taking taylor expansion of U in K 52.427 * [backup-simplify]: Simplify U into U 52.427 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 52.427 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 52.427 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 52.427 * [taylor]: Taking taylor expansion of 1/2 in K 52.427 * [backup-simplify]: Simplify 1/2 into 1/2 52.427 * [taylor]: Taking taylor expansion of K in K 52.427 * [backup-simplify]: Simplify 0 into 0 52.427 * [backup-simplify]: Simplify 1 into 1 52.427 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 52.427 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 52.427 * [backup-simplify]: Simplify (* J J) into (pow J 2) 52.427 * [backup-simplify]: Simplify (* U U) into (pow U 2) 52.427 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 52.427 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 52.427 * [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))) 52.427 * [taylor]: Taking taylor expansion of 1 in K 52.427 * [backup-simplify]: Simplify 1 into 1 52.428 * [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)))) 52.428 * [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) 52.428 * [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)) 52.428 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 52.428 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 52.428 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 52.428 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 52.429 * [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 52.429 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 52.429 * [backup-simplify]: Simplify (+ 0 0) into 0 52.430 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 52.430 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 52.430 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 52.430 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 52.430 * [taylor]: Taking taylor expansion of 1/4 in U 52.430 * [backup-simplify]: Simplify 1/4 into 1/4 52.430 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 52.430 * [taylor]: Taking taylor expansion of (pow J 2) in U 52.430 * [taylor]: Taking taylor expansion of J in U 52.430 * [backup-simplify]: Simplify J into J 52.430 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 52.430 * [taylor]: Taking taylor expansion of (pow U 2) in U 52.430 * [taylor]: Taking taylor expansion of U in U 52.430 * [backup-simplify]: Simplify 0 into 0 52.430 * [backup-simplify]: Simplify 1 into 1 52.430 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 52.430 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 52.430 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 52.430 * [taylor]: Taking taylor expansion of 1/2 in U 52.430 * [backup-simplify]: Simplify 1/2 into 1/2 52.430 * [taylor]: Taking taylor expansion of K in U 52.430 * [backup-simplify]: Simplify K into K 52.430 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 52.430 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 52.430 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 52.430 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 52.430 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 52.430 * [backup-simplify]: Simplify (- 0) into 0 52.430 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 52.430 * [backup-simplify]: Simplify (* J J) into (pow J 2) 52.431 * [backup-simplify]: Simplify (* 1 1) into 1 52.431 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 52.431 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 52.431 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 52.431 * [taylor]: Taking taylor expansion of 1 in U 52.431 * [backup-simplify]: Simplify 1 into 1 52.431 * [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))) 52.431 * [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))) 52.431 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 52.431 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 52.432 * [backup-simplify]: Simplify (+ 0) into 0 52.432 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 52.432 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 52.433 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 52.433 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 52.433 * [backup-simplify]: Simplify (- 0) into 0 52.433 * [backup-simplify]: Simplify (+ 0 0) into 0 52.433 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 52.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 52.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 52.434 * [backup-simplify]: 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 52.435 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 52.435 * [backup-simplify]: Simplify (+ 0 0) into 0 52.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 52.435 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 52.435 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 52.435 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 52.435 * [taylor]: Taking taylor expansion of 1/4 in U 52.435 * [backup-simplify]: Simplify 1/4 into 1/4 52.435 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 52.435 * [taylor]: Taking taylor expansion of (pow J 2) in U 52.435 * [taylor]: Taking taylor expansion of J in U 52.435 * [backup-simplify]: Simplify J into J 52.435 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 52.435 * [taylor]: Taking taylor expansion of (pow U 2) in U 52.435 * [taylor]: Taking taylor expansion of U in U 52.435 * [backup-simplify]: Simplify 0 into 0 52.435 * [backup-simplify]: Simplify 1 into 1 52.436 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 52.436 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 52.436 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 52.436 * [taylor]: Taking taylor expansion of 1/2 in U 52.436 * [backup-simplify]: Simplify 1/2 into 1/2 52.436 * [taylor]: Taking taylor expansion of K in U 52.436 * [backup-simplify]: Simplify K into K 52.436 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 52.436 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 52.436 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 52.436 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 52.436 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 52.436 * [backup-simplify]: Simplify (- 0) into 0 52.436 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 52.436 * [backup-simplify]: Simplify (* J J) into (pow J 2) 52.436 * [backup-simplify]: Simplify (* 1 1) into 1 52.437 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 52.437 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 52.437 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 52.437 * [taylor]: Taking taylor expansion of 1 in U 52.437 * [backup-simplify]: Simplify 1 into 1 52.437 * [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))) 52.437 * [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))) 52.437 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 52.437 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 52.438 * [backup-simplify]: Simplify (+ 0) into 0 52.438 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 52.438 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 52.439 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 52.439 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 52.440 * [backup-simplify]: Simplify (- 0) into 0 52.440 * [backup-simplify]: Simplify (+ 0 0) into 0 52.440 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 52.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 52.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 52.442 * [backup-simplify]: 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 52.443 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 52.443 * [backup-simplify]: Simplify (+ 0 0) into 0 52.443 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 52.443 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 52.443 * [taylor]: Taking taylor expansion of 1/2 in K 52.443 * [backup-simplify]: Simplify 1/2 into 1/2 52.443 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 52.443 * [taylor]: Taking taylor expansion of J in K 52.443 * [backup-simplify]: Simplify J into J 52.444 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 52.444 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 52.444 * [taylor]: Taking taylor expansion of 1/2 in K 52.444 * [backup-simplify]: Simplify 1/2 into 1/2 52.444 * [taylor]: Taking taylor expansion of K in K 52.444 * [backup-simplify]: Simplify 0 into 0 52.444 * [backup-simplify]: Simplify 1 into 1 52.444 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 52.444 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 52.444 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 52.444 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 52.444 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 52.444 * [taylor]: Taking taylor expansion of 1/2 in J 52.445 * [backup-simplify]: Simplify 1/2 into 1/2 52.445 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 52.445 * [taylor]: Taking taylor expansion of J in J 52.445 * [backup-simplify]: Simplify 0 into 0 52.445 * [backup-simplify]: Simplify 1 into 1 52.445 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 52.445 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 52.445 * [taylor]: Taking taylor expansion of 1/2 in J 52.445 * [backup-simplify]: Simplify 1/2 into 1/2 52.445 * [taylor]: Taking taylor expansion of K in J 52.445 * [backup-simplify]: Simplify K into K 52.445 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 52.445 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 52.445 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 52.445 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 52.445 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 52.446 * [backup-simplify]: Simplify (- 0) into 0 52.446 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 52.446 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 52.446 * [taylor]: Taking taylor expansion of 0 in K 52.446 * [backup-simplify]: Simplify 0 into 0 52.446 * [taylor]: Taking taylor expansion of 0 in J 52.446 * [backup-simplify]: Simplify 0 into 0 52.446 * [backup-simplify]: Simplify 0 into 0 52.446 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 52.447 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 52.447 * [taylor]: Taking taylor expansion of 0 in J 52.447 * [backup-simplify]: Simplify 0 into 0 52.447 * [backup-simplify]: Simplify 0 into 0 52.447 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 52.447 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 52.448 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 52.448 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 52.449 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 52.449 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 52.450 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 52.451 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 52.451 * [backup-simplify]: Simplify (- 0) into 0 52.451 * [backup-simplify]: Simplify (+ 0 0) into 0 52.452 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 52.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 52.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 52.454 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 52.455 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 52.456 * [backup-simplify]: Simplify (+ 0 1) into 1 52.456 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 52.456 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 52.456 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 52.457 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 52.457 * [taylor]: Taking taylor expansion of 1/2 in K 52.457 * [backup-simplify]: Simplify 1/2 into 1/2 52.457 * [taylor]: Taking taylor expansion of K in K 52.457 * [backup-simplify]: Simplify 0 into 0 52.457 * [backup-simplify]: Simplify 1 into 1 52.457 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 52.457 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 52.457 * [taylor]: Taking taylor expansion of J in K 52.457 * [backup-simplify]: Simplify J into J 52.457 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 52.457 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 52.457 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 52.457 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 52.457 * [taylor]: Taking taylor expansion of 1/2 in J 52.457 * [backup-simplify]: Simplify 1/2 into 1/2 52.457 * [taylor]: Taking taylor expansion of K in J 52.458 * [backup-simplify]: Simplify K into K 52.458 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 52.458 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 52.458 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 52.458 * [taylor]: Taking taylor expansion of J in J 52.458 * [backup-simplify]: Simplify 0 into 0 52.458 * [backup-simplify]: Simplify 1 into 1 52.458 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 52.458 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 52.458 * [backup-simplify]: Simplify (- 0) into 0 52.458 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 52.459 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 52.459 * [backup-simplify]: Simplify (+ 0) into 0 52.459 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 52.460 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 52.460 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 52.461 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 52.461 * [backup-simplify]: Simplify (- 0) into 0 52.461 * [backup-simplify]: Simplify (+ 0 0) into 0 52.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 52.463 * [backup-simplify]: Simplify 0 into 0 52.463 * [taylor]: Taking taylor expansion of 0 in J 52.463 * [backup-simplify]: Simplify 0 into 0 52.463 * [backup-simplify]: Simplify 0 into 0 52.463 * [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 52.464 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 52.464 * [taylor]: Taking taylor expansion of 0 in J 52.464 * [backup-simplify]: Simplify 0 into 0 52.464 * [backup-simplify]: Simplify 0 into 0 52.464 * [backup-simplify]: Simplify 0 into 0 52.464 * [backup-simplify]: Simplify 0 into 0 52.465 * [backup-simplify]: Simplify (+ 0) into 0 52.465 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 52.465 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 52.466 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 52.466 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 52.467 * [backup-simplify]: Simplify (- 0) into 0 52.467 * [backup-simplify]: Simplify (+ 0 0) into 0 52.467 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 52.467 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 52.468 * [backup-simplify]: Simplify 0 into 0 52.468 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 52.468 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 52.468 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0 52.468 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 52.468 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 52.468 * [taylor]: Taking taylor expansion of 1 in J 52.468 * [backup-simplify]: Simplify 1 into 1 52.468 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 52.468 * [taylor]: Taking taylor expansion of 1/4 in J 52.468 * [backup-simplify]: Simplify 1/4 into 1/4 52.468 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 52.468 * [taylor]: Taking taylor expansion of (pow J 2) in J 52.468 * [taylor]: Taking taylor expansion of J in J 52.468 * [backup-simplify]: Simplify 0 into 0 52.468 * [backup-simplify]: Simplify 1 into 1 52.468 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 52.468 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 52.468 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 52.469 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 52.469 * [taylor]: Taking taylor expansion of -1/2 in J 52.469 * [backup-simplify]: Simplify -1/2 into -1/2 52.469 * [taylor]: Taking taylor expansion of K in J 52.469 * [backup-simplify]: Simplify K into K 52.469 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 52.469 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 52.469 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 52.469 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 52.469 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 52.469 * [backup-simplify]: Simplify (- 0) into 0 52.469 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 52.469 * [taylor]: Taking taylor expansion of (pow U 2) in J 52.469 * [taylor]: Taking taylor expansion of U in J 52.469 * [backup-simplify]: Simplify U into U 52.469 * [backup-simplify]: Simplify (* 1 1) into 1 52.470 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 52.470 * [backup-simplify]: Simplify (* U U) into (pow U 2) 52.470 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 52.470 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 52.470 * [backup-simplify]: Simplify (+ 1 0) into 1 52.470 * [backup-simplify]: Simplify (sqrt 1) into 1 52.471 * [backup-simplify]: Simplify (+ 0 0) into 0 52.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 52.471 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 52.471 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 52.471 * [taylor]: Taking taylor expansion of 1 in K 52.471 * [backup-simplify]: Simplify 1 into 1 52.471 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 52.471 * [taylor]: Taking taylor expansion of 1/4 in K 52.471 * [backup-simplify]: Simplify 1/4 into 1/4 52.471 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 52.471 * [taylor]: Taking taylor expansion of (pow J 2) in K 52.471 * [taylor]: Taking taylor expansion of J in K 52.471 * [backup-simplify]: Simplify J into J 52.471 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 52.471 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 52.471 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 52.471 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 52.471 * [taylor]: Taking taylor expansion of -1/2 in K 52.471 * [backup-simplify]: Simplify -1/2 into -1/2 52.471 * [taylor]: Taking taylor expansion of K in K 52.471 * [backup-simplify]: Simplify 0 into 0 52.471 * [backup-simplify]: Simplify 1 into 1 52.472 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 52.472 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 52.472 * [taylor]: Taking taylor expansion of (pow U 2) in K 52.472 * [taylor]: Taking taylor expansion of U in K 52.472 * [backup-simplify]: Simplify U into U 52.472 * [backup-simplify]: Simplify (* J J) into (pow J 2) 52.472 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 52.472 * [backup-simplify]: Simplify (* U U) into (pow U 2) 52.472 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 52.472 * [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))) 52.472 * [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)))) 52.472 * [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))))) 52.473 * [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)))))) 52.473 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 52.473 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 52.473 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 52.473 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 52.473 * [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 52.474 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 52.474 * [backup-simplify]: Simplify (+ 0 0) into 0 52.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 52.474 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 52.474 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 52.474 * [taylor]: Taking taylor expansion of 1 in U 52.474 * [backup-simplify]: Simplify 1 into 1 52.474 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 52.474 * [taylor]: Taking taylor expansion of 1/4 in U 52.474 * [backup-simplify]: Simplify 1/4 into 1/4 52.474 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 52.474 * [taylor]: Taking taylor expansion of (pow J 2) in U 52.474 * [taylor]: Taking taylor expansion of J in U 52.474 * [backup-simplify]: Simplify J into J 52.474 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 52.474 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 52.475 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 52.475 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 52.475 * [taylor]: Taking taylor expansion of -1/2 in U 52.475 * [backup-simplify]: Simplify -1/2 into -1/2 52.475 * [taylor]: Taking taylor expansion of K in U 52.475 * [backup-simplify]: Simplify K into K 52.475 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 52.475 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 52.475 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 52.475 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 52.475 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 52.475 * [backup-simplify]: Simplify (- 0) into 0 52.475 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 52.475 * [taylor]: Taking taylor expansion of (pow U 2) in U 52.475 * [taylor]: Taking taylor expansion of U in U 52.475 * [backup-simplify]: Simplify 0 into 0 52.475 * [backup-simplify]: Simplify 1 into 1 52.475 * [backup-simplify]: Simplify (* J J) into (pow J 2) 52.475 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 52.476 * [backup-simplify]: Simplify (* 1 1) into 1 52.476 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 52.476 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 52.476 * [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))) 52.476 * [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))) 52.476 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 52.476 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 52.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 52.477 * [backup-simplify]: Simplify (+ 0) into 0 52.477 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 52.477 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 52.478 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 52.478 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 52.478 * [backup-simplify]: Simplify (- 0) into 0 52.478 * [backup-simplify]: Simplify (+ 0 0) into 0 52.479 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 52.479 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 52.479 * [backup-simplify]: 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 52.480 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 52.480 * [backup-simplify]: Simplify (+ 0 0) into 0 52.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 52.480 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 52.480 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 52.480 * [taylor]: Taking taylor expansion of 1 in U 52.480 * [backup-simplify]: Simplify 1 into 1 52.480 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 52.480 * [taylor]: Taking taylor expansion of 1/4 in U 52.480 * [backup-simplify]: Simplify 1/4 into 1/4 52.480 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 52.480 * [taylor]: Taking taylor expansion of (pow J 2) in U 52.480 * [taylor]: Taking taylor expansion of J in U 52.480 * [backup-simplify]: Simplify J into J 52.480 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 52.480 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 52.480 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 52.480 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 52.480 * [taylor]: Taking taylor expansion of -1/2 in U 52.480 * [backup-simplify]: Simplify -1/2 into -1/2 52.480 * [taylor]: Taking taylor expansion of K in U 52.480 * [backup-simplify]: Simplify K into K 52.480 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 52.480 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 52.480 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 52.481 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 52.481 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 52.481 * [backup-simplify]: Simplify (- 0) into 0 52.481 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 52.481 * [taylor]: Taking taylor expansion of (pow U 2) in U 52.481 * [taylor]: Taking taylor expansion of U in U 52.481 * [backup-simplify]: Simplify 0 into 0 52.481 * [backup-simplify]: Simplify 1 into 1 52.481 * [backup-simplify]: Simplify (* J J) into (pow J 2) 52.481 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 52.481 * [backup-simplify]: Simplify (* 1 1) into 1 52.481 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 52.482 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 52.482 * [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))) 52.482 * [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))) 52.482 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 52.482 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 52.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 52.483 * [backup-simplify]: Simplify (+ 0) into 0 52.483 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 52.483 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 52.484 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 52.484 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 52.484 * [backup-simplify]: Simplify (- 0) into 0 52.484 * [backup-simplify]: Simplify (+ 0 0) into 0 52.484 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 52.485 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 52.485 * [backup-simplify]: 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 52.485 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 52.486 * [backup-simplify]: Simplify (+ 0 0) into 0 52.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 52.486 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 52.486 * [taylor]: Taking taylor expansion of 1/2 in K 52.486 * [backup-simplify]: Simplify 1/2 into 1/2 52.486 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 52.486 * [taylor]: Taking taylor expansion of J in K 52.486 * [backup-simplify]: Simplify J into J 52.486 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 52.486 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 52.486 * [taylor]: Taking taylor expansion of -1/2 in K 52.486 * [backup-simplify]: Simplify -1/2 into -1/2 52.486 * [taylor]: Taking taylor expansion of K in K 52.486 * [backup-simplify]: Simplify 0 into 0 52.486 * [backup-simplify]: Simplify 1 into 1 52.486 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 52.486 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 52.486 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 52.487 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 52.487 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 52.487 * [taylor]: Taking taylor expansion of 1/2 in J 52.487 * [backup-simplify]: Simplify 1/2 into 1/2 52.487 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 52.487 * [taylor]: Taking taylor expansion of J in J 52.487 * [backup-simplify]: Simplify 0 into 0 52.487 * [backup-simplify]: Simplify 1 into 1 52.487 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 52.487 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 52.487 * [taylor]: Taking taylor expansion of -1/2 in J 52.487 * [backup-simplify]: Simplify -1/2 into -1/2 52.487 * [taylor]: Taking taylor expansion of K in J 52.487 * [backup-simplify]: Simplify K into K 52.487 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 52.487 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 52.487 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 52.487 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 52.487 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 52.487 * [backup-simplify]: Simplify (- 0) into 0 52.487 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 52.487 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 52.487 * [taylor]: Taking taylor expansion of 0 in K 52.487 * [backup-simplify]: Simplify 0 into 0 52.488 * [taylor]: Taking taylor expansion of 0 in J 52.488 * [backup-simplify]: Simplify 0 into 0 52.488 * [backup-simplify]: Simplify 0 into 0 52.488 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 52.488 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 52.488 * [taylor]: Taking taylor expansion of 0 in J 52.488 * [backup-simplify]: Simplify 0 into 0 52.488 * [backup-simplify]: Simplify 0 into 0 52.488 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 52.488 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 52.489 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 52.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 52.490 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 52.490 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 52.490 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 52.491 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 52.492 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 52.492 * [backup-simplify]: Simplify (- 0) into 0 52.492 * [backup-simplify]: Simplify (+ 0 0) into 0 52.493 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 52.494 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 52.494 * [backup-simplify]: 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 52.495 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 52.496 * [backup-simplify]: Simplify (+ 1 0) into 1 52.496 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 52.496 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 52.497 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 52.497 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 52.497 * [taylor]: Taking taylor expansion of -1/2 in K 52.497 * [backup-simplify]: Simplify -1/2 into -1/2 52.497 * [taylor]: Taking taylor expansion of K in K 52.497 * [backup-simplify]: Simplify 0 into 0 52.497 * [backup-simplify]: Simplify 1 into 1 52.497 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 52.497 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 52.497 * [taylor]: Taking taylor expansion of J in K 52.497 * [backup-simplify]: Simplify J into J 52.497 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 52.497 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 52.497 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 52.497 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 52.497 * [taylor]: Taking taylor expansion of -1/2 in J 52.497 * [backup-simplify]: Simplify -1/2 into -1/2 52.498 * [taylor]: Taking taylor expansion of K in J 52.498 * [backup-simplify]: Simplify K into K 52.498 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 52.498 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 52.498 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 52.498 * [taylor]: Taking taylor expansion of J in J 52.498 * [backup-simplify]: Simplify 0 into 0 52.498 * [backup-simplify]: Simplify 1 into 1 52.498 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 52.498 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 52.498 * [backup-simplify]: Simplify (- 0) into 0 52.498 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 52.499 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 52.499 * [backup-simplify]: Simplify (+ 0) into 0 52.499 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 52.500 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 52.500 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 52.501 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 52.501 * [backup-simplify]: Simplify (- 0) into 0 52.502 * [backup-simplify]: Simplify (+ 0 0) into 0 52.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 52.503 * [backup-simplify]: Simplify 0 into 0 52.503 * [taylor]: Taking taylor expansion of 0 in J 52.503 * [backup-simplify]: Simplify 0 into 0 52.503 * [backup-simplify]: Simplify 0 into 0 52.503 * [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 52.504 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 52.504 * [taylor]: Taking taylor expansion of 0 in J 52.504 * [backup-simplify]: Simplify 0 into 0 52.504 * [backup-simplify]: Simplify 0 into 0 52.504 * [backup-simplify]: Simplify 0 into 0 52.504 * [backup-simplify]: Simplify 0 into 0 52.504 * [backup-simplify]: Simplify (+ 0) into 0 52.505 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 52.505 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 52.506 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 52.506 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 52.507 * [backup-simplify]: Simplify (- 0) into 0 52.507 * [backup-simplify]: Simplify (+ 0 0) into 0 52.507 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 52.508 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 52.508 * [backup-simplify]: Simplify 0 into 0 52.508 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 52.508 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1) 52.509 * [backup-simplify]: Simplify (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 52.509 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in (U K J) around 0 52.509 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 52.509 * [taylor]: Taking taylor expansion of 1/4 in J 52.509 * [backup-simplify]: Simplify 1/4 into 1/4 52.509 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 52.509 * [taylor]: Taking taylor expansion of (pow U 2) in J 52.509 * [taylor]: Taking taylor expansion of U in J 52.509 * [backup-simplify]: Simplify U into U 52.509 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 52.509 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 52.509 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 52.509 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 52.509 * [taylor]: Taking taylor expansion of 1/2 in J 52.509 * [backup-simplify]: Simplify 1/2 into 1/2 52.509 * [taylor]: Taking taylor expansion of K in J 52.509 * [backup-simplify]: Simplify K into K 52.509 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 52.509 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 52.509 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 52.509 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 52.510 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 52.510 * [backup-simplify]: Simplify (- 0) into 0 52.510 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 52.510 * [taylor]: Taking taylor expansion of (pow J 2) in J 52.510 * [taylor]: Taking taylor expansion of J in J 52.510 * [backup-simplify]: Simplify 0 into 0 52.510 * [backup-simplify]: Simplify 1 into 1 52.510 * [backup-simplify]: Simplify (* U U) into (pow U 2) 52.510 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 52.515 * [backup-simplify]: Simplify (* 1 1) into 1 52.515 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 52.515 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 52.515 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 52.515 * [taylor]: Taking taylor expansion of 1/4 in K 52.515 * [backup-simplify]: Simplify 1/4 into 1/4 52.515 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 52.515 * [taylor]: Taking taylor expansion of (pow U 2) in K 52.515 * [taylor]: Taking taylor expansion of U in K 52.515 * [backup-simplify]: Simplify U into U 52.515 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 52.515 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 52.515 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 52.515 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 52.515 * [taylor]: Taking taylor expansion of 1/2 in K 52.515 * [backup-simplify]: Simplify 1/2 into 1/2 52.515 * [taylor]: Taking taylor expansion of K in K 52.515 * [backup-simplify]: Simplify 0 into 0 52.515 * [backup-simplify]: Simplify 1 into 1 52.516 * [backup-simplify]: Simplify (* 1/2 0) into 0 52.517 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 52.517 * [taylor]: Taking taylor expansion of (pow J 2) in K 52.517 * [taylor]: Taking taylor expansion of J in K 52.517 * [backup-simplify]: Simplify J into J 52.517 * [backup-simplify]: Simplify (* U U) into (pow U 2) 52.517 * [backup-simplify]: Simplify (* 1 1) into 1 52.517 * [backup-simplify]: Simplify (* J J) into (pow J 2) 52.517 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 52.518 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 52.518 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 52.518 * [taylor]: Taking taylor expansion of 1/4 in U 52.518 * [backup-simplify]: Simplify 1/4 into 1/4 52.518 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 52.518 * [taylor]: Taking taylor expansion of (pow U 2) in U 52.518 * [taylor]: Taking taylor expansion of U in U 52.518 * [backup-simplify]: Simplify 0 into 0 52.518 * [backup-simplify]: Simplify 1 into 1 52.518 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 52.518 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 52.518 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 52.518 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 52.518 * [taylor]: Taking taylor expansion of 1/2 in U 52.518 * [backup-simplify]: Simplify 1/2 into 1/2 52.518 * [taylor]: Taking taylor expansion of K in U 52.518 * [backup-simplify]: Simplify K into K 52.518 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 52.518 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 52.518 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 52.518 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 52.518 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 52.519 * [backup-simplify]: Simplify (- 0) into 0 52.519 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 52.519 * [taylor]: Taking taylor expansion of (pow J 2) in U 52.519 * [taylor]: Taking taylor expansion of J in U 52.519 * [backup-simplify]: Simplify J into J 52.519 * [backup-simplify]: Simplify (* 1 1) into 1 52.520 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 52.520 * [backup-simplify]: Simplify (* J J) into (pow J 2) 52.520 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 52.520 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 52.520 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 52.520 * [taylor]: Taking taylor expansion of 1/4 in U 52.520 * [backup-simplify]: Simplify 1/4 into 1/4 52.520 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 52.520 * [taylor]: Taking taylor expansion of (pow U 2) in U 52.520 * [taylor]: Taking taylor expansion of U in U 52.520 * [backup-simplify]: Simplify 0 into 0 52.520 * [backup-simplify]: Simplify 1 into 1 52.520 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 52.520 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 52.520 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 52.520 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 52.520 * [taylor]: Taking taylor expansion of 1/2 in U 52.520 * [backup-simplify]: Simplify 1/2 into 1/2 52.520 * [taylor]: Taking taylor expansion of K in U 52.520 * [backup-simplify]: Simplify K into K 52.520 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 52.521 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 52.521 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 52.521 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 52.521 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 52.521 * [backup-simplify]: Simplify (- 0) into 0 52.521 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 52.521 * [taylor]: Taking taylor expansion of (pow J 2) in U 52.521 * [taylor]: Taking taylor expansion of J in U 52.521 * [backup-simplify]: Simplify J into J 52.522 * [backup-simplify]: Simplify (* 1 1) into 1 52.522 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 52.522 * [backup-simplify]: Simplify (* J J) into (pow J 2) 52.522 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 52.522 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 52.523 * [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))) 52.523 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 52.523 * [taylor]: Taking taylor expansion of 1/4 in K 52.523 * [backup-simplify]: Simplify 1/4 into 1/4 52.523 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 52.523 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 52.523 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 52.523 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 52.523 * [taylor]: Taking taylor expansion of 1/2 in K 52.523 * [backup-simplify]: Simplify 1/2 into 1/2 52.523 * [taylor]: Taking taylor expansion of K in K 52.523 * [backup-simplify]: Simplify 0 into 0 52.523 * [backup-simplify]: Simplify 1 into 1 52.523 * [backup-simplify]: Simplify (* 1/2 0) into 0 52.524 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 52.524 * [taylor]: Taking taylor expansion of (pow J 2) in K 52.524 * [taylor]: Taking taylor expansion of J in K 52.524 * [backup-simplify]: Simplify J into J 52.525 * [backup-simplify]: Simplify (* 1 1) into 1 52.525 * [backup-simplify]: Simplify (* J J) into (pow J 2) 52.525 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 52.525 * [backup-simplify]: Simplify (/ 1/4 (pow J 2)) into (/ 1/4 (pow J 2)) 52.525 * [taylor]: Taking taylor expansion of (/ 1/4 (pow J 2)) in J 52.525 * [taylor]: Taking taylor expansion of 1/4 in J 52.525 * [backup-simplify]: Simplify 1/4 into 1/4 52.525 * [taylor]: Taking taylor expansion of (pow J 2) in J 52.525 * [taylor]: Taking taylor expansion of J in J 52.525 * [backup-simplify]: Simplify 0 into 0 52.525 * [backup-simplify]: Simplify 1 into 1 52.525 * [backup-simplify]: Simplify (* 1 1) into 1 52.526 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 52.526 * [backup-simplify]: Simplify 1/4 into 1/4 52.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 52.527 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 52.527 * [backup-simplify]: Simplify (+ 0) into 0 52.528 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 52.528 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 52.529 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 52.529 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 52.530 * [backup-simplify]: Simplify (- 0) into 0 52.530 * [backup-simplify]: Simplify (+ 0 0) into 0 52.530 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 52.530 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 52.531 * [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 52.532 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 52.532 * [taylor]: Taking taylor expansion of 0 in K 52.532 * [backup-simplify]: Simplify 0 into 0 52.532 * [taylor]: Taking taylor expansion of 0 in J 52.532 * [backup-simplify]: Simplify 0 into 0 52.532 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 52.532 * [backup-simplify]: Simplify (+ 0) into 0 52.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 52.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 52.534 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ 0 (pow J 2))))) into 0 52.534 * [taylor]: Taking taylor expansion of 0 in J 52.534 * [backup-simplify]: Simplify 0 into 0 52.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 52.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 52.535 * [backup-simplify]: Simplify 0 into 0 52.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 52.537 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 52.538 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 52.539 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 52.539 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 52.540 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 52.541 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 52.541 * [backup-simplify]: Simplify (- 0) into 0 52.541 * [backup-simplify]: Simplify (+ 0 0) into 0 52.542 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 52.543 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0 52.543 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 52.544 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 52.544 * [taylor]: Taking taylor expansion of 0 in K 52.544 * [backup-simplify]: Simplify 0 into 0 52.544 * [taylor]: Taking taylor expansion of 0 in J 52.544 * [backup-simplify]: Simplify 0 into 0 52.544 * [taylor]: Taking taylor expansion of 0 in J 52.544 * [backup-simplify]: Simplify 0 into 0 52.545 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 52.546 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 52.547 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4 52.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (pow J 2)))) into (- (* 1/4 (pow J 2))) 52.548 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* 0 (/ 0 (pow J 2))))) into (* 1/16 (/ 1 (pow J 2))) 52.548 * [taylor]: Taking taylor expansion of (* 1/16 (/ 1 (pow J 2))) in J 52.548 * [taylor]: Taking taylor expansion of 1/16 in J 52.548 * [backup-simplify]: Simplify 1/16 into 1/16 52.548 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J 52.548 * [taylor]: Taking taylor expansion of (pow J 2) in J 52.549 * [taylor]: Taking taylor expansion of J in J 52.549 * [backup-simplify]: Simplify 0 into 0 52.549 * [backup-simplify]: Simplify 1 into 1 52.549 * [backup-simplify]: Simplify (* 1 1) into 1 52.549 * [backup-simplify]: Simplify (/ 1 1) into 1 52.550 * [backup-simplify]: Simplify (* 1/16 1) into 1/16 52.550 * [backup-simplify]: Simplify 1/16 into 1/16 52.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 52.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.552 * [backup-simplify]: Simplify 0 into 0 52.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 52.554 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 52.554 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 52.555 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 52.557 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 52.558 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 52.559 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 52.559 * [backup-simplify]: Simplify (- 0) into 0 52.559 * [backup-simplify]: Simplify (+ 0 0) into 0 52.560 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 52.561 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0 52.563 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 52.564 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) into 0 52.564 * [taylor]: Taking taylor expansion of 0 in K 52.564 * [backup-simplify]: Simplify 0 into 0 52.564 * [taylor]: Taking taylor expansion of 0 in J 52.564 * [backup-simplify]: Simplify 0 into 0 52.564 * [taylor]: Taking taylor expansion of 0 in J 52.564 * [backup-simplify]: Simplify 0 into 0 52.564 * [taylor]: Taking taylor expansion of 0 in J 52.564 * [backup-simplify]: Simplify 0 into 0 52.565 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 52.566 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 52.567 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 52.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0 52.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (* 0 (pow J 2))))) into 0 52.570 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ 0 (pow J 2))) (* 0 (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* (* 1/16 (/ 1 (pow J 2))) (/ 0 (pow J 2))))) into 0 52.570 * [taylor]: Taking taylor expansion of 0 in J 52.571 * [backup-simplify]: Simplify 0 into 0 52.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 52.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 52.573 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 1)) into 0 52.573 * [backup-simplify]: Simplify 0 into 0 52.573 * [backup-simplify]: Simplify 0 into 0 52.573 * [backup-simplify]: Simplify 0 into 0 52.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 52.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.575 * [backup-simplify]: Simplify 0 into 0 52.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 52.578 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 52.580 * [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 52.581 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 52.582 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 52.584 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 52.585 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 52.585 * [backup-simplify]: Simplify (- 0) into 0 52.586 * [backup-simplify]: Simplify (+ 0 0) into 0 52.587 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0 52.588 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2)))))) into 0 52.589 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 52.591 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))))) into 0 52.591 * [taylor]: Taking taylor expansion of 0 in K 52.591 * [backup-simplify]: Simplify 0 into 0 52.591 * [taylor]: Taking taylor expansion of 0 in J 52.591 * [backup-simplify]: Simplify 0 into 0 52.591 * [taylor]: Taking taylor expansion of 0 in J 52.591 * [backup-simplify]: Simplify 0 into 0 52.591 * [taylor]: Taking taylor expansion of 0 in J 52.591 * [backup-simplify]: Simplify 0 into 0 52.591 * [taylor]: Taking taylor expansion of 0 in J 52.591 * [backup-simplify]: Simplify 0 into 0 52.592 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 52.594 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 52.595 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 52.596 * [backup-simplify]: Simplify (+ (* 1 1/384) (+ (* 0 0) (+ (* -1/8 -1/8) (+ (* 0 0) (* 1/384 1))))) into 1/48 52.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (+ (* 0 0) (* 1/48 (pow J 2)))))) into (* 1/48 (pow J 2)) 52.598 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ (* 1/48 (pow J 2)) (pow J 2))) (* 0 (/ 0 (pow J 2))) (* (* 1/16 (/ 1 (pow J 2))) (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* 0 (/ 0 (pow J 2))))) into (* 1/96 (/ 1 (pow J 2))) 52.598 * [taylor]: Taking taylor expansion of (* 1/96 (/ 1 (pow J 2))) in J 52.598 * [taylor]: Taking taylor expansion of 1/96 in J 52.598 * [backup-simplify]: Simplify 1/96 into 1/96 52.598 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J 52.598 * [taylor]: Taking taylor expansion of (pow J 2) in J 52.598 * [taylor]: Taking taylor expansion of J in J 52.598 * [backup-simplify]: Simplify 0 into 0 52.598 * [backup-simplify]: Simplify 1 into 1 52.598 * [backup-simplify]: Simplify (* 1 1) into 1 52.598 * [backup-simplify]: Simplify (/ 1 1) into 1 52.599 * [backup-simplify]: Simplify (* 1/96 1) into 1/96 52.599 * [backup-simplify]: Simplify 1/96 into 1/96 52.599 * [backup-simplify]: Simplify (+ (* 1/96 (pow (* (/ 1 J) (* (pow K 2) U)) 2)) (+ (* 1/16 (pow (* (/ 1 J) (* K U)) 2)) (* 1/4 (pow (* (/ 1 J) (* 1 U)) 2)))) into (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (* (pow K 4) (pow U 2)) (pow J 2))))) 52.600 * [backup-simplify]: Simplify (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 52.600 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in (U K J) around 0 52.600 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 52.600 * [taylor]: Taking taylor expansion of 1/4 in J 52.600 * [backup-simplify]: Simplify 1/4 into 1/4 52.600 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 52.600 * [taylor]: Taking taylor expansion of (pow J 2) in J 52.600 * [taylor]: Taking taylor expansion of J in J 52.600 * [backup-simplify]: Simplify 0 into 0 52.600 * [backup-simplify]: Simplify 1 into 1 52.600 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 52.600 * [taylor]: Taking taylor expansion of (pow U 2) in J 52.600 * [taylor]: Taking taylor expansion of U in J 52.600 * [backup-simplify]: Simplify U into U 52.600 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 52.600 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 52.600 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 52.600 * [taylor]: Taking taylor expansion of 1/2 in J 52.600 * [backup-simplify]: Simplify 1/2 into 1/2 52.600 * [taylor]: Taking taylor expansion of K in J 52.600 * [backup-simplify]: Simplify K into K 52.600 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 52.600 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 52.600 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 52.600 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 52.600 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 52.600 * [backup-simplify]: Simplify (- 0) into 0 52.600 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 52.601 * [backup-simplify]: Simplify (* 1 1) into 1 52.601 * [backup-simplify]: Simplify (* U U) into (pow U 2) 52.601 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 52.601 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 52.601 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 52.601 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 52.601 * [taylor]: Taking taylor expansion of 1/4 in K 52.601 * [backup-simplify]: Simplify 1/4 into 1/4 52.601 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 52.601 * [taylor]: Taking taylor expansion of (pow J 2) in K 52.601 * [taylor]: Taking taylor expansion of J in K 52.601 * [backup-simplify]: Simplify J into J 52.601 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 52.601 * [taylor]: Taking taylor expansion of (pow U 2) in K 52.601 * [taylor]: Taking taylor expansion of U in K 52.601 * [backup-simplify]: Simplify U into U 52.601 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 52.601 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 52.601 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 52.601 * [taylor]: Taking taylor expansion of 1/2 in K 52.601 * [backup-simplify]: Simplify 1/2 into 1/2 52.601 * [taylor]: Taking taylor expansion of K in K 52.601 * [backup-simplify]: Simplify 0 into 0 52.601 * [backup-simplify]: Simplify 1 into 1 52.602 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 52.602 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 52.602 * [backup-simplify]: Simplify (* J J) into (pow J 2) 52.602 * [backup-simplify]: Simplify (* U U) into (pow U 2) 52.602 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 52.602 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 52.602 * [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))) 52.602 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 52.602 * [taylor]: Taking taylor expansion of 1/4 in U 52.602 * [backup-simplify]: Simplify 1/4 into 1/4 52.602 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 52.602 * [taylor]: Taking taylor expansion of (pow J 2) in U 52.602 * [taylor]: Taking taylor expansion of J in U 52.602 * [backup-simplify]: Simplify J into J 52.602 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 52.602 * [taylor]: Taking taylor expansion of (pow U 2) in U 52.602 * [taylor]: Taking taylor expansion of U in U 52.602 * [backup-simplify]: Simplify 0 into 0 52.602 * [backup-simplify]: Simplify 1 into 1 52.602 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 52.602 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 52.602 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 52.602 * [taylor]: Taking taylor expansion of 1/2 in U 52.602 * [backup-simplify]: Simplify 1/2 into 1/2 52.602 * [taylor]: Taking taylor expansion of K in U 52.602 * [backup-simplify]: Simplify K into K 52.602 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 52.602 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 52.602 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 52.602 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 52.603 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 52.603 * [backup-simplify]: Simplify (- 0) into 0 52.603 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 52.603 * [backup-simplify]: Simplify (* J J) into (pow J 2) 52.603 * [backup-simplify]: Simplify (* 1 1) into 1 52.603 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 52.603 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 52.603 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 52.603 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 52.603 * [taylor]: Taking taylor expansion of 1/4 in U 52.603 * [backup-simplify]: Simplify 1/4 into 1/4 52.603 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 52.603 * [taylor]: Taking taylor expansion of (pow J 2) in U 52.603 * [taylor]: Taking taylor expansion of J in U 52.603 * [backup-simplify]: Simplify J into J 52.604 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 52.604 * [taylor]: Taking taylor expansion of (pow U 2) in U 52.604 * [taylor]: Taking taylor expansion of U in U 52.604 * [backup-simplify]: Simplify 0 into 0 52.604 * [backup-simplify]: Simplify 1 into 1 52.604 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 52.604 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 52.604 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 52.604 * [taylor]: Taking taylor expansion of 1/2 in U 52.604 * [backup-simplify]: Simplify 1/2 into 1/2 52.604 * [taylor]: Taking taylor expansion of K in U 52.604 * [backup-simplify]: Simplify K into K 52.604 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 52.604 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 52.604 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 52.604 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 52.604 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 52.604 * [backup-simplify]: Simplify (- 0) into 0 52.604 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 52.604 * [backup-simplify]: Simplify (* J J) into (pow J 2) 52.604 * [backup-simplify]: Simplify (* 1 1) into 1 52.605 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 52.605 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 52.605 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 52.605 * [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))) 52.605 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 52.605 * [taylor]: Taking taylor expansion of 1/4 in K 52.605 * [backup-simplify]: Simplify 1/4 into 1/4 52.605 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 52.605 * [taylor]: Taking taylor expansion of (pow J 2) in K 52.605 * [taylor]: Taking taylor expansion of J in K 52.605 * [backup-simplify]: Simplify J into J 52.605 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 52.605 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 52.605 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 52.605 * [taylor]: Taking taylor expansion of 1/2 in K 52.605 * [backup-simplify]: Simplify 1/2 into 1/2 52.605 * [taylor]: Taking taylor expansion of K in K 52.605 * [backup-simplify]: Simplify 0 into 0 52.605 * [backup-simplify]: Simplify 1 into 1 52.605 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 52.605 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 52.606 * [backup-simplify]: Simplify (* J J) into (pow J 2) 52.606 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 52.606 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 52.606 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 52.606 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 52.606 * [taylor]: Taking taylor expansion of 1/4 in J 52.606 * [backup-simplify]: Simplify 1/4 into 1/4 52.606 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 52.606 * [taylor]: Taking taylor expansion of (pow J 2) in J 52.606 * [taylor]: Taking taylor expansion of J in J 52.606 * [backup-simplify]: Simplify 0 into 0 52.606 * [backup-simplify]: Simplify 1 into 1 52.606 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 52.606 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 52.606 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 52.606 * [taylor]: Taking taylor expansion of 1/2 in J 52.606 * [backup-simplify]: Simplify 1/2 into 1/2 52.606 * [taylor]: Taking taylor expansion of K in J 52.606 * [backup-simplify]: Simplify K into K 52.606 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 52.606 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 52.606 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 52.606 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 52.606 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 52.607 * [backup-simplify]: Simplify (- 0) into 0 52.607 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 52.607 * [backup-simplify]: Simplify (* 1 1) into 1 52.607 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 52.607 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 52.607 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 52.607 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 52.607 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 52.608 * [backup-simplify]: Simplify (+ 0) into 0 52.608 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 52.608 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 52.608 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 52.609 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 52.609 * [backup-simplify]: Simplify (- 0) into 0 52.609 * [backup-simplify]: Simplify (+ 0 0) into 0 52.609 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 52.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 52.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 52.610 * [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))))) into 0 52.611 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 52.611 * [taylor]: Taking taylor expansion of 0 in K 52.611 * [backup-simplify]: Simplify 0 into 0 52.611 * [taylor]: Taking taylor expansion of 0 in J 52.611 * [backup-simplify]: Simplify 0 into 0 52.611 * [backup-simplify]: Simplify 0 into 0 52.611 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 52.611 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 52.611 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 52.611 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 52.611 * [taylor]: Taking taylor expansion of 0 in J 52.611 * [backup-simplify]: Simplify 0 into 0 52.611 * [backup-simplify]: Simplify 0 into 0 52.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 52.612 * [backup-simplify]: Simplify (+ 0) into 0 52.612 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 52.613 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 52.613 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 52.613 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 52.613 * [backup-simplify]: Simplify (- 0) into 0 52.614 * [backup-simplify]: Simplify (+ 0 0) into 0 52.614 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 52.614 * [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 52.614 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 52.614 * [backup-simplify]: Simplify 0 into 0 52.615 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 52.615 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 52.616 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 52.616 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 52.616 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 52.617 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 52.617 * [backup-simplify]: Simplify (- 0) into 0 52.617 * [backup-simplify]: Simplify (+ 0 0) into 0 52.617 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 52.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 52.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 52.619 * [backup-simplify]: 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 52.619 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 52.619 * [taylor]: Taking taylor expansion of 0 in K 52.619 * [backup-simplify]: Simplify 0 into 0 52.619 * [taylor]: Taking taylor expansion of 0 in J 52.619 * [backup-simplify]: Simplify 0 into 0 52.619 * [backup-simplify]: Simplify 0 into 0 52.619 * [taylor]: Taking taylor expansion of 0 in J 52.620 * [backup-simplify]: Simplify 0 into 0 52.620 * [backup-simplify]: Simplify 0 into 0 52.620 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 52.620 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 52.620 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 52.621 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 52.621 * [taylor]: Taking taylor expansion of 0 in J 52.621 * [backup-simplify]: Simplify 0 into 0 52.621 * [backup-simplify]: Simplify 0 into 0 52.621 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)) (pow (* (/ 1 J) (* 1 (/ 1 (/ 1 U)))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 52.622 * [backup-simplify]: Simplify (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 52.622 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in (U K J) around 0 52.622 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 52.622 * [taylor]: Taking taylor expansion of 1/4 in J 52.622 * [backup-simplify]: Simplify 1/4 into 1/4 52.622 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 52.622 * [taylor]: Taking taylor expansion of (pow J 2) in J 52.622 * [taylor]: Taking taylor expansion of J in J 52.622 * [backup-simplify]: Simplify 0 into 0 52.622 * [backup-simplify]: Simplify 1 into 1 52.622 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 52.622 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 52.622 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 52.622 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 52.622 * [taylor]: Taking taylor expansion of -1/2 in J 52.622 * [backup-simplify]: Simplify -1/2 into -1/2 52.622 * [taylor]: Taking taylor expansion of K in J 52.622 * [backup-simplify]: Simplify K into K 52.622 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 52.622 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 52.622 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 52.622 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 52.622 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 52.622 * [backup-simplify]: Simplify (- 0) into 0 52.622 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 52.622 * [taylor]: Taking taylor expansion of (pow U 2) in J 52.622 * [taylor]: Taking taylor expansion of U in J 52.622 * [backup-simplify]: Simplify U into U 52.623 * [backup-simplify]: Simplify (* 1 1) into 1 52.623 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 52.623 * [backup-simplify]: Simplify (* U U) into (pow U 2) 52.623 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 52.623 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 52.623 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 52.623 * [taylor]: Taking taylor expansion of 1/4 in K 52.623 * [backup-simplify]: Simplify 1/4 into 1/4 52.623 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 52.623 * [taylor]: Taking taylor expansion of (pow J 2) in K 52.623 * [taylor]: Taking taylor expansion of J in K 52.623 * [backup-simplify]: Simplify J into J 52.623 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 52.623 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 52.623 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 52.623 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 52.623 * [taylor]: Taking taylor expansion of -1/2 in K 52.623 * [backup-simplify]: Simplify -1/2 into -1/2 52.623 * [taylor]: Taking taylor expansion of K in K 52.623 * [backup-simplify]: Simplify 0 into 0 52.623 * [backup-simplify]: Simplify 1 into 1 52.624 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 52.624 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 52.624 * [taylor]: Taking taylor expansion of (pow U 2) in K 52.624 * [taylor]: Taking taylor expansion of U in K 52.624 * [backup-simplify]: Simplify U into U 52.624 * [backup-simplify]: Simplify (* J J) into (pow J 2) 52.624 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 52.624 * [backup-simplify]: Simplify (* U U) into (pow U 2) 52.624 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 52.624 * [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))) 52.624 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 52.624 * [taylor]: Taking taylor expansion of 1/4 in U 52.624 * [backup-simplify]: Simplify 1/4 into 1/4 52.624 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 52.624 * [taylor]: Taking taylor expansion of (pow J 2) in U 52.624 * [taylor]: Taking taylor expansion of J in U 52.624 * [backup-simplify]: Simplify J into J 52.624 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 52.624 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 52.624 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 52.624 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 52.624 * [taylor]: Taking taylor expansion of -1/2 in U 52.624 * [backup-simplify]: Simplify -1/2 into -1/2 52.624 * [taylor]: Taking taylor expansion of K in U 52.624 * [backup-simplify]: Simplify K into K 52.624 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 52.624 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 52.624 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 52.624 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 52.624 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 52.625 * [backup-simplify]: Simplify (- 0) into 0 52.625 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 52.625 * [taylor]: Taking taylor expansion of (pow U 2) in U 52.625 * [taylor]: Taking taylor expansion of U in U 52.625 * [backup-simplify]: Simplify 0 into 0 52.625 * [backup-simplify]: Simplify 1 into 1 52.625 * [backup-simplify]: Simplify (* J J) into (pow J 2) 52.625 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 52.625 * [backup-simplify]: Simplify (* 1 1) into 1 52.625 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 52.625 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 52.625 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 52.625 * [taylor]: Taking taylor expansion of 1/4 in U 52.625 * [backup-simplify]: Simplify 1/4 into 1/4 52.625 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 52.626 * [taylor]: Taking taylor expansion of (pow J 2) in U 52.626 * [taylor]: Taking taylor expansion of J in U 52.626 * [backup-simplify]: Simplify J into J 52.626 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 52.626 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 52.626 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 52.626 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 52.626 * [taylor]: Taking taylor expansion of -1/2 in U 52.626 * [backup-simplify]: Simplify -1/2 into -1/2 52.626 * [taylor]: Taking taylor expansion of K in U 52.626 * [backup-simplify]: Simplify K into K 52.626 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 52.626 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 52.626 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 52.626 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 52.626 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 52.626 * [backup-simplify]: Simplify (- 0) into 0 52.626 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 52.626 * [taylor]: Taking taylor expansion of (pow U 2) in U 52.626 * [taylor]: Taking taylor expansion of U in U 52.626 * [backup-simplify]: Simplify 0 into 0 52.626 * [backup-simplify]: Simplify 1 into 1 52.627 * [backup-simplify]: Simplify (* J J) into (pow J 2) 52.627 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 52.627 * [backup-simplify]: Simplify (* 1 1) into 1 52.627 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 52.627 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 52.628 * [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))) 52.628 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 52.628 * [taylor]: Taking taylor expansion of 1/4 in K 52.628 * [backup-simplify]: Simplify 1/4 into 1/4 52.628 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 52.628 * [taylor]: Taking taylor expansion of (pow J 2) in K 52.628 * [taylor]: Taking taylor expansion of J in K 52.628 * [backup-simplify]: Simplify J into J 52.628 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 52.628 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 52.628 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 52.628 * [taylor]: Taking taylor expansion of -1/2 in K 52.628 * [backup-simplify]: Simplify -1/2 into -1/2 52.628 * [taylor]: Taking taylor expansion of K in K 52.628 * [backup-simplify]: Simplify 0 into 0 52.628 * [backup-simplify]: Simplify 1 into 1 52.629 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 52.629 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 52.629 * [backup-simplify]: Simplify (* J J) into (pow J 2) 52.629 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 52.629 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 52.629 * [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))) 52.629 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 52.629 * [taylor]: Taking taylor expansion of 1/4 in J 52.629 * [backup-simplify]: Simplify 1/4 into 1/4 52.629 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 52.629 * [taylor]: Taking taylor expansion of (pow J 2) in J 52.629 * [taylor]: Taking taylor expansion of J in J 52.629 * [backup-simplify]: Simplify 0 into 0 52.630 * [backup-simplify]: Simplify 1 into 1 52.630 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 52.630 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 52.630 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 52.630 * [taylor]: Taking taylor expansion of -1/2 in J 52.630 * [backup-simplify]: Simplify -1/2 into -1/2 52.630 * [taylor]: Taking taylor expansion of K in J 52.630 * [backup-simplify]: Simplify K into K 52.630 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 52.630 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 52.630 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 52.630 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 52.630 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 52.631 * [backup-simplify]: Simplify (- 0) into 0 52.631 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 52.631 * [backup-simplify]: Simplify (* 1 1) into 1 52.631 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 52.631 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 52.631 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 52.632 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 52.632 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 52.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 52.633 * [backup-simplify]: Simplify (+ 0) into 0 52.633 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 52.633 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 52.634 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 52.635 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 52.635 * [backup-simplify]: Simplify (- 0) into 0 52.635 * [backup-simplify]: Simplify (+ 0 0) into 0 52.636 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 52.636 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 52.637 * [backup-simplify]: 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 52.637 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 52.637 * [taylor]: Taking taylor expansion of 0 in K 52.637 * [backup-simplify]: Simplify 0 into 0 52.637 * [taylor]: Taking taylor expansion of 0 in J 52.637 * [backup-simplify]: Simplify 0 into 0 52.637 * [backup-simplify]: Simplify 0 into 0 52.637 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 52.638 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 52.638 * [backup-simplify]: 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 52.639 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 52.639 * [taylor]: Taking taylor expansion of 0 in J 52.639 * [backup-simplify]: Simplify 0 into 0 52.639 * [backup-simplify]: Simplify 0 into 0 52.639 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 52.640 * [backup-simplify]: Simplify (+ 0) into 0 52.640 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 52.640 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 52.641 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 52.646 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 52.647 * [backup-simplify]: Simplify (- 0) into 0 52.648 * [backup-simplify]: Simplify (+ 0 0) into 0 52.648 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 52.649 * [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 52.649 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 52.649 * [backup-simplify]: Simplify 0 into 0 52.650 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 52.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 52.652 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 52.652 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 52.653 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 52.653 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 52.654 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 52.654 * [backup-simplify]: Simplify (- 0) into 0 52.655 * [backup-simplify]: Simplify (+ 0 0) into 0 52.655 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 52.656 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 52.657 * [backup-simplify]: 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 52.658 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 52.658 * [taylor]: Taking taylor expansion of 0 in K 52.658 * [backup-simplify]: Simplify 0 into 0 52.658 * [taylor]: Taking taylor expansion of 0 in J 52.658 * [backup-simplify]: Simplify 0 into 0 52.658 * [backup-simplify]: Simplify 0 into 0 52.658 * [taylor]: Taking taylor expansion of 0 in J 52.658 * [backup-simplify]: Simplify 0 into 0 52.658 * [backup-simplify]: Simplify 0 into 0 52.658 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 52.659 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 52.659 * [backup-simplify]: 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 52.660 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 52.661 * [taylor]: Taking taylor expansion of 0 in J 52.661 * [backup-simplify]: Simplify 0 into 0 52.661 * [backup-simplify]: Simplify 0 into 0 52.661 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)) (pow (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U))))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 52.661 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1 2 2 2) 52.661 * [backup-simplify]: Simplify (* (cos (/ K 2)) J) into (* (cos (* 1/2 K)) J) 52.661 * [approximate]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in (K J) around 0 52.661 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 52.661 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 52.661 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 52.661 * [taylor]: Taking taylor expansion of 1/2 in J 52.661 * [backup-simplify]: Simplify 1/2 into 1/2 52.661 * [taylor]: Taking taylor expansion of K in J 52.661 * [backup-simplify]: Simplify K into K 52.661 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 52.662 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 52.662 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 52.662 * [taylor]: Taking taylor expansion of J in J 52.662 * [backup-simplify]: Simplify 0 into 0 52.662 * [backup-simplify]: Simplify 1 into 1 52.662 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 52.662 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 52.662 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 52.662 * [taylor]: Taking taylor expansion of 1/2 in K 52.662 * [backup-simplify]: Simplify 1/2 into 1/2 52.662 * [taylor]: Taking taylor expansion of K in K 52.662 * [backup-simplify]: Simplify 0 into 0 52.662 * [backup-simplify]: Simplify 1 into 1 52.663 * [backup-simplify]: Simplify (* 1/2 0) into 0 52.663 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 52.663 * [taylor]: Taking taylor expansion of J in K 52.663 * [backup-simplify]: Simplify J into J 52.663 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 52.663 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 52.663 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 52.663 * [taylor]: Taking taylor expansion of 1/2 in K 52.663 * [backup-simplify]: Simplify 1/2 into 1/2 52.664 * [taylor]: Taking taylor expansion of K in K 52.664 * [backup-simplify]: Simplify 0 into 0 52.664 * [backup-simplify]: Simplify 1 into 1 52.664 * [backup-simplify]: Simplify (* 1/2 0) into 0 52.665 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 52.665 * [taylor]: Taking taylor expansion of J in K 52.665 * [backup-simplify]: Simplify J into J 52.665 * [backup-simplify]: Simplify (* 1 J) into J 52.665 * [taylor]: Taking taylor expansion of J in J 52.665 * [backup-simplify]: Simplify 0 into 0 52.665 * [backup-simplify]: Simplify 1 into 1 52.665 * [backup-simplify]: Simplify 0 into 0 52.665 * [backup-simplify]: Simplify (+ 0) into 0 52.666 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 52.666 * [taylor]: Taking taylor expansion of 0 in J 52.666 * [backup-simplify]: Simplify 0 into 0 52.666 * [backup-simplify]: Simplify 0 into 0 52.666 * [backup-simplify]: Simplify 1 into 1 52.667 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 52.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 52.668 * [taylor]: Taking taylor expansion of (- (* 1/8 J)) in J 52.668 * [taylor]: Taking taylor expansion of (* 1/8 J) in J 52.668 * [taylor]: Taking taylor expansion of 1/8 in J 52.668 * [backup-simplify]: Simplify 1/8 into 1/8 52.668 * [taylor]: Taking taylor expansion of J in J 52.668 * [backup-simplify]: Simplify 0 into 0 52.668 * [backup-simplify]: Simplify 1 into 1 52.669 * [backup-simplify]: Simplify (* 1/8 0) into 0 52.669 * [backup-simplify]: Simplify (- 0) into 0 52.669 * [backup-simplify]: Simplify 0 into 0 52.669 * [backup-simplify]: Simplify 0 into 0 52.669 * [backup-simplify]: Simplify 0 into 0 52.670 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 52.671 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 52.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 52.673 * [taylor]: Taking taylor expansion of 0 in J 52.673 * [backup-simplify]: Simplify 0 into 0 52.673 * [backup-simplify]: Simplify 0 into 0 52.673 * [backup-simplify]: Simplify (+ (* 1/8 1) (* 0 0)) into 1/8 52.674 * [backup-simplify]: Simplify (- 1/8) into -1/8 52.674 * [backup-simplify]: Simplify -1/8 into -1/8 52.674 * [backup-simplify]: Simplify 0 into 0 52.674 * [backup-simplify]: Simplify 0 into 0 52.675 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 52.678 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 52.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (+ (* 0 0) (* 1/384 J))))) into (* 1/384 J) 52.680 * [taylor]: Taking taylor expansion of (* 1/384 J) in J 52.680 * [taylor]: Taking taylor expansion of 1/384 in J 52.680 * [backup-simplify]: Simplify 1/384 into 1/384 52.680 * [taylor]: Taking taylor expansion of J in J 52.680 * [backup-simplify]: Simplify 0 into 0 52.680 * [backup-simplify]: Simplify 1 into 1 52.680 * [backup-simplify]: Simplify (* 1/384 0) into 0 52.680 * [backup-simplify]: Simplify 0 into 0 52.680 * [backup-simplify]: Simplify 0 into 0 52.681 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 1) (* 0 0))) into 0 52.682 * [backup-simplify]: Simplify (- 0) into 0 52.682 * [backup-simplify]: Simplify 0 into 0 52.682 * [backup-simplify]: Simplify 0 into 0 52.682 * [backup-simplify]: Simplify (+ (* -1/8 (* J (pow K 2))) (* 1 (* J 1))) into (- J (* 1/8 (* (pow K 2) J))) 52.682 * [backup-simplify]: Simplify (* (cos (/ (/ 1 K) 2)) (/ 1 J)) into (/ (cos (/ 1/2 K)) J) 52.682 * [approximate]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in (K J) around 0 52.682 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 52.682 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 52.682 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 52.682 * [taylor]: Taking taylor expansion of 1/2 in J 52.682 * [backup-simplify]: Simplify 1/2 into 1/2 52.682 * [taylor]: Taking taylor expansion of K in J 52.682 * [backup-simplify]: Simplify K into K 52.683 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 52.683 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 52.683 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 52.683 * [taylor]: Taking taylor expansion of J in J 52.683 * [backup-simplify]: Simplify 0 into 0 52.683 * [backup-simplify]: Simplify 1 into 1 52.683 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 52.683 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 52.683 * [backup-simplify]: Simplify (- 0) into 0 52.683 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 52.683 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 52.683 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 52.684 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 52.684 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 52.684 * [taylor]: Taking taylor expansion of 1/2 in K 52.684 * [backup-simplify]: Simplify 1/2 into 1/2 52.684 * [taylor]: Taking taylor expansion of K in K 52.684 * [backup-simplify]: Simplify 0 into 0 52.684 * [backup-simplify]: Simplify 1 into 1 52.684 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 52.684 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 52.684 * [taylor]: Taking taylor expansion of J in K 52.684 * [backup-simplify]: Simplify J into J 52.684 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 52.684 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 52.684 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 52.684 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 52.684 * [taylor]: Taking taylor expansion of 1/2 in K 52.684 * [backup-simplify]: Simplify 1/2 into 1/2 52.684 * [taylor]: Taking taylor expansion of K in K 52.684 * [backup-simplify]: Simplify 0 into 0 52.684 * [backup-simplify]: Simplify 1 into 1 52.685 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 52.685 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 52.685 * [taylor]: Taking taylor expansion of J in K 52.685 * [backup-simplify]: Simplify J into J 52.685 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 52.685 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 52.685 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 52.685 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 52.685 * [taylor]: Taking taylor expansion of 1/2 in J 52.685 * [backup-simplify]: Simplify 1/2 into 1/2 52.685 * [taylor]: Taking taylor expansion of K in J 52.685 * [backup-simplify]: Simplify K into K 52.685 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 52.686 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 52.686 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 52.686 * [taylor]: Taking taylor expansion of J in J 52.686 * [backup-simplify]: Simplify 0 into 0 52.686 * [backup-simplify]: Simplify 1 into 1 52.686 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 52.686 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 52.686 * [backup-simplify]: Simplify (- 0) into 0 52.686 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 52.686 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 52.687 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 52.687 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 52.687 * [taylor]: Taking taylor expansion of 0 in J 52.687 * [backup-simplify]: Simplify 0 into 0 52.687 * [backup-simplify]: Simplify (+ 0) into 0 52.688 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 52.688 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 52.689 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 52.689 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 52.689 * [backup-simplify]: Simplify (- 0) into 0 52.690 * [backup-simplify]: Simplify (+ 0 0) into 0 52.691 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 52.691 * [backup-simplify]: Simplify 0 into 0 52.691 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 52.691 * [taylor]: Taking taylor expansion of 0 in J 52.691 * [backup-simplify]: Simplify 0 into 0 52.691 * [backup-simplify]: Simplify 0 into 0 52.692 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 52.693 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 52.693 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 52.694 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 52.694 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 52.695 * [backup-simplify]: Simplify (- 0) into 0 52.695 * [backup-simplify]: Simplify (+ 0 0) into 0 52.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.697 * [backup-simplify]: Simplify 0 into 0 52.697 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 52.697 * [taylor]: Taking taylor expansion of 0 in J 52.697 * [backup-simplify]: Simplify 0 into 0 52.697 * [backup-simplify]: Simplify 0 into 0 52.697 * [backup-simplify]: Simplify 0 into 0 52.698 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 52.699 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 52.699 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 52.701 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 52.702 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 52.702 * [backup-simplify]: Simplify (- 0) into 0 52.703 * [backup-simplify]: Simplify (+ 0 0) into 0 52.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.704 * [backup-simplify]: Simplify 0 into 0 52.705 * [backup-simplify]: Simplify (* (cos (/ 1/2 (/ 1 K))) (* (/ 1 (/ 1 J)) 1)) into (* (cos (* 1/2 K)) J) 52.705 * [backup-simplify]: Simplify (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))) into (* -1 (/ (cos (/ -1/2 K)) J)) 52.705 * [approximate]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in (K J) around 0 52.705 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in J 52.705 * [taylor]: Taking taylor expansion of -1 in J 52.705 * [backup-simplify]: Simplify -1 into -1 52.705 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 52.705 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 52.705 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 52.705 * [taylor]: Taking taylor expansion of -1/2 in J 52.705 * [backup-simplify]: Simplify -1/2 into -1/2 52.705 * [taylor]: Taking taylor expansion of K in J 52.705 * [backup-simplify]: Simplify K into K 52.705 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 52.705 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 52.705 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 52.705 * [taylor]: Taking taylor expansion of J in J 52.705 * [backup-simplify]: Simplify 0 into 0 52.705 * [backup-simplify]: Simplify 1 into 1 52.706 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 52.706 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 52.706 * [backup-simplify]: Simplify (- 0) into 0 52.706 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 52.706 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 52.706 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in K 52.706 * [taylor]: Taking taylor expansion of -1 in K 52.706 * [backup-simplify]: Simplify -1 into -1 52.706 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 52.706 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 52.706 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 52.706 * [taylor]: Taking taylor expansion of -1/2 in K 52.706 * [backup-simplify]: Simplify -1/2 into -1/2 52.706 * [taylor]: Taking taylor expansion of K in K 52.706 * [backup-simplify]: Simplify 0 into 0 52.707 * [backup-simplify]: Simplify 1 into 1 52.707 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 52.707 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 52.707 * [taylor]: Taking taylor expansion of J in K 52.707 * [backup-simplify]: Simplify J into J 52.707 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 52.707 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in K 52.707 * [taylor]: Taking taylor expansion of -1 in K 52.707 * [backup-simplify]: Simplify -1 into -1 52.707 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 52.707 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 52.707 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 52.707 * [taylor]: Taking taylor expansion of -1/2 in K 52.707 * [backup-simplify]: Simplify -1/2 into -1/2 52.707 * [taylor]: Taking taylor expansion of K in K 52.707 * [backup-simplify]: Simplify 0 into 0 52.708 * [backup-simplify]: Simplify 1 into 1 52.708 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 52.708 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 52.708 * [taylor]: Taking taylor expansion of J in K 52.708 * [backup-simplify]: Simplify J into J 52.708 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 52.708 * [backup-simplify]: Simplify (* -1 (/ (cos (/ -1/2 K)) J)) into (* -1 (/ (cos (/ -1/2 K)) J)) 52.708 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in J 52.708 * [taylor]: Taking taylor expansion of -1 in J 52.708 * [backup-simplify]: Simplify -1 into -1 52.709 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 52.709 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 52.709 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 52.709 * [taylor]: Taking taylor expansion of -1/2 in J 52.709 * [backup-simplify]: Simplify -1/2 into -1/2 52.709 * [taylor]: Taking taylor expansion of K in J 52.709 * [backup-simplify]: Simplify K into K 52.709 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 52.709 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 52.709 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 52.709 * [taylor]: Taking taylor expansion of J in J 52.709 * [backup-simplify]: Simplify 0 into 0 52.709 * [backup-simplify]: Simplify 1 into 1 52.709 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 52.709 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 52.710 * [backup-simplify]: Simplify (- 0) into 0 52.710 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 52.710 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 52.710 * [backup-simplify]: Simplify (* -1 (cos (/ -1/2 K))) into (* -1 (cos (/ -1/2 K))) 52.710 * [backup-simplify]: Simplify (* -1 (cos (/ -1/2 K))) into (* -1 (cos (/ -1/2 K))) 52.710 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 52.711 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (cos (/ -1/2 K)) J))) into 0 52.711 * [taylor]: Taking taylor expansion of 0 in J 52.711 * [backup-simplify]: Simplify 0 into 0 52.711 * [backup-simplify]: Simplify (+ 0) into 0 52.712 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 52.712 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 52.712 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 52.713 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 52.713 * [backup-simplify]: Simplify (- 0) into 0 52.714 * [backup-simplify]: Simplify (+ 0 0) into 0 52.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 52.715 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (/ -1/2 K)))) into 0 52.715 * [backup-simplify]: Simplify 0 into 0 52.715 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 52.716 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J)))) into 0 52.716 * [taylor]: Taking taylor expansion of 0 in J 52.716 * [backup-simplify]: Simplify 0 into 0 52.716 * [backup-simplify]: Simplify 0 into 0 52.717 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 52.718 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 52.718 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 52.719 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 52.719 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 52.719 * [backup-simplify]: Simplify (- 0) into 0 52.719 * [backup-simplify]: Simplify (+ 0 0) into 0 52.720 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.721 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 52.721 * [backup-simplify]: Simplify 0 into 0 52.721 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 52.722 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J))))) into 0 52.722 * [taylor]: Taking taylor expansion of 0 in J 52.722 * [backup-simplify]: Simplify 0 into 0 52.722 * [backup-simplify]: Simplify 0 into 0 52.722 * [backup-simplify]: Simplify 0 into 0 52.722 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 52.723 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 52.723 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 52.724 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 52.724 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 52.725 * [backup-simplify]: Simplify (- 0) into 0 52.725 * [backup-simplify]: Simplify (+ 0 0) into 0 52.726 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 52.727 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 52.727 * [backup-simplify]: Simplify 0 into 0 52.727 * [backup-simplify]: Simplify (* (* -1 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (/ 1 (- J))) 1)) into (* (cos (* 1/2 K)) J) 52.727 * * * [progress]: simplifying candidates 52.727 * * * * [progress]: [ 1 / 142 ] simplifiying candidate # 52.727 * [simplify]: Simplifying (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J) 52.727 * * [simplify]: iters left: 6 (17 enodes) 52.732 * * [simplify]: iters left: 5 (70 enodes) 52.745 * * [simplify]: iters left: 4 (145 enodes) 52.818 * * [simplify]: iters left: 3 (435 enodes) 53.105 * * [simplify]: Extracting #0: cost 1 inf + 0 53.105 * * [simplify]: Extracting #1: cost 16 inf + 0 53.105 * * [simplify]: Extracting #2: cost 28 inf + 2 53.105 * * [simplify]: Extracting #3: cost 33 inf + 44 53.106 * * [simplify]: Extracting #4: cost 142 inf + 89 53.107 * * [simplify]: Extracting #5: cost 238 inf + 3391 53.116 * * [simplify]: Extracting #6: cost 74 inf + 36414 53.152 * * [simplify]: Extracting #7: cost 1 inf + 54199 53.186 * * [simplify]: Extracting #8: cost 0 inf + 54240 53.207 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 (* (cos (/ K 2)) J))) 53.207 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 (* (cos (/ K 2)) J))) 1)) 53.207 * * * * [progress]: [ 2 / 142 ] simplifiying candidate # 53.207 * [simplify]: Simplifying (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J) 53.207 * * [simplify]: iters left: 6 (17 enodes) 53.213 * * [simplify]: iters left: 5 (70 enodes) 53.226 * * [simplify]: iters left: 4 (145 enodes) 53.287 * * [simplify]: iters left: 3 (435 enodes) 53.946 * * [simplify]: Extracting #0: cost 1 inf + 0 53.947 * * [simplify]: Extracting #1: cost 16 inf + 0 53.947 * * [simplify]: Extracting #2: cost 28 inf + 2 53.947 * * [simplify]: Extracting #3: cost 33 inf + 44 53.948 * * [simplify]: Extracting #4: cost 142 inf + 89 53.951 * * [simplify]: Extracting #5: cost 238 inf + 3391 53.972 * * [simplify]: Extracting #6: cost 74 inf + 36414 54.004 * * [simplify]: Extracting #7: cost 1 inf + 54199 54.032 * * [simplify]: Extracting #8: cost 0 inf + 54240 54.049 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 (* (cos (/ K 2)) J))) 54.050 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 (* (cos (/ K 2)) J))) 1)) 54.050 * * * * [progress]: [ 3 / 142 ] simplifiying candidate # 54.050 * [simplify]: Simplifying (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J) 54.050 * * [simplify]: iters left: 6 (17 enodes) 54.056 * * [simplify]: iters left: 5 (70 enodes) 54.078 * * [simplify]: iters left: 4 (145 enodes) 54.130 * * [simplify]: iters left: 3 (435 enodes) 54.383 * * [simplify]: Extracting #0: cost 1 inf + 0 54.384 * * [simplify]: Extracting #1: cost 16 inf + 0 54.384 * * [simplify]: Extracting #2: cost 28 inf + 2 54.384 * * [simplify]: Extracting #3: cost 33 inf + 44 54.384 * * [simplify]: Extracting #4: cost 142 inf + 89 54.389 * * [simplify]: Extracting #5: cost 238 inf + 3391 54.398 * * [simplify]: Extracting #6: cost 74 inf + 36414 54.424 * * [simplify]: Extracting #7: cost 1 inf + 54199 54.458 * * [simplify]: Extracting #8: cost 0 inf + 54240 54.491 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 (* (cos (/ K 2)) J))) 54.491 * [simplify]: Simplified (2 1) to (λ (J K U) (pow (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 (* (cos (/ K 2)) J))) 1)) 54.492 * * * * [progress]: [ 4 / 142 ] simplifiying candidate # 54.492 * * * * [progress]: [ 5 / 142 ] simplifiying candidate # 54.492 * [simplify]: Simplifying (+ (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (log (cos (/ K 2)))) (log J)) 54.492 * * [simplify]: iters left: 6 (21 enodes) 54.504 * * [simplify]: iters left: 5 (83 enodes) 54.533 * * [simplify]: iters left: 4 (160 enodes) 54.603 * * [simplify]: iters left: 3 (452 enodes) 54.818 * * [simplify]: Extracting #0: cost 1 inf + 0 54.818 * * [simplify]: Extracting #1: cost 16 inf + 0 54.818 * * [simplify]: Extracting #2: cost 34 inf + 0 54.819 * * [simplify]: Extracting #3: cost 35 inf + 73 54.819 * * [simplify]: Extracting #4: cost 36 inf + 650 54.819 * * [simplify]: Extracting #5: cost 148 inf + 653 54.821 * * [simplify]: Extracting #6: cost 240 inf + 4224 54.837 * * [simplify]: Extracting #7: cost 51 inf + 45161 54.855 * * [simplify]: Extracting #8: cost 0 inf + 60020 54.881 * * [simplify]: Extracting #9: cost 0 inf + 59902 54.917 * [simplify]: Simplified to (+ (+ (+ (log J) (log (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (log (cos (/ K 2)))) (log -2)) 54.917 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (+ (log J) (log (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (log (cos (/ K 2)))) (log -2)))) 54.918 * * * * [progress]: [ 6 / 142 ] simplifiying candidate # 54.918 * [simplify]: Simplifying (+ (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (log (cos (/ K 2)))) (log J)) 54.918 * * [simplify]: iters left: 6 (20 enodes) 54.929 * * [simplify]: iters left: 5 (81 enodes) 54.959 * * [simplify]: iters left: 4 (153 enodes) 55.000 * * [simplify]: iters left: 3 (439 enodes) 55.294 * * [simplify]: Extracting #0: cost 1 inf + 0 55.294 * * [simplify]: Extracting #1: cost 16 inf + 0 55.294 * * [simplify]: Extracting #2: cost 35 inf + 0 55.294 * * [simplify]: Extracting #3: cost 38 inf + 2 55.295 * * [simplify]: Extracting #4: cost 41 inf + 326 55.295 * * [simplify]: Extracting #5: cost 145 inf + 653 55.298 * * [simplify]: Extracting #6: cost 244 inf + 3656 55.315 * * [simplify]: Extracting #7: cost 77 inf + 37290 55.349 * * [simplify]: Extracting #8: cost 3 inf + 58370 55.368 * * [simplify]: Extracting #9: cost 0 inf + 59855 55.396 * [simplify]: Simplified to (+ (+ (log J) (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))) (log (cos (/ K 2)))) 55.396 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log J) (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))) (log (cos (/ K 2)))))) 55.396 * * * * [progress]: [ 7 / 142 ] simplifiying candidate # 55.397 * [simplify]: Simplifying (+ (log (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2)))) (log J)) 55.397 * * [simplify]: iters left: 6 (19 enodes) 55.402 * * [simplify]: iters left: 5 (78 enodes) 55.417 * * [simplify]: iters left: 4 (154 enodes) 55.480 * * [simplify]: iters left: 3 (439 enodes) 55.741 * * [simplify]: Extracting #0: cost 1 inf + 0 55.741 * * [simplify]: Extracting #1: cost 25 inf + 0 55.742 * * [simplify]: Extracting #2: cost 45 inf + 0 55.742 * * [simplify]: Extracting #3: cost 51 inf + 2 55.742 * * [simplify]: Extracting #4: cost 54 inf + 286 55.743 * * [simplify]: Extracting #5: cost 161 inf + 471 55.747 * * [simplify]: Extracting #6: cost 250 inf + 5584 55.768 * * [simplify]: Extracting #7: cost 59 inf + 46973 55.802 * * [simplify]: Extracting #8: cost 11 inf + 59184 55.822 * * [simplify]: Extracting #9: cost 0 inf + 65218 55.852 * [simplify]: Simplified to (+ (log J) (log (* (* (cos (/ K 2)) -2) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) 55.852 * [simplify]: Simplified (2 1) to (λ (J K U) (exp (+ (log J) (log (* (* (cos (/ K 2)) -2) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) 55.852 * * * * [progress]: [ 8 / 142 ] simplifiying candidate # 55.852 * * * * [progress]: [ 9 / 142 ] simplifiying candidate # 55.852 * * * * [progress]: [ 10 / 142 ] simplifiying candidate # 55.853 * [simplify]: Simplifying (* (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* J J) J)) 55.853 * * [simplify]: iters left: 6 (25 enodes) 55.860 * * [simplify]: iters left: 5 (106 enodes) 55.889 * * [simplify]: iters left: 4 (294 enodes) 56.083 * * [simplify]: Extracting #0: cost 1 inf + 0 56.084 * * [simplify]: Extracting #1: cost 67 inf + 0 56.084 * * [simplify]: Extracting #2: cost 298 inf + 45 56.086 * * [simplify]: Extracting #3: cost 398 inf + 499 56.091 * * [simplify]: Extracting #4: cost 356 inf + 24063 56.126 * * [simplify]: Extracting #5: cost 102 inf + 115031 56.177 * * [simplify]: Extracting #6: cost 1 inf + 163077 56.237 * * [simplify]: Extracting #7: cost 0 inf + 163502 56.293 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) J) (* (* -8 (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (cos (/ K 2)) (cos (/ K 2))))) (* J J)) 56.293 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (cos (/ K 2)) J) (* (* -8 (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (cos (/ K 2)) (cos (/ K 2))))) (* J J)))) 56.294 * * * * [progress]: [ 11 / 142 ] simplifiying candidate # 56.294 * [simplify]: Simplifying (* (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* J J) J)) 56.294 * * [simplify]: iters left: 6 (23 enodes) 56.308 * * [simplify]: iters left: 5 (106 enodes) 56.337 * * [simplify]: iters left: 4 (274 enodes) 56.475 * * [simplify]: Extracting #0: cost 1 inf + 0 56.475 * * [simplify]: Extracting #1: cost 52 inf + 0 56.476 * * [simplify]: Extracting #2: cost 236 inf + 2 56.478 * * [simplify]: Extracting #3: cost 253 inf + 300 56.481 * * [simplify]: Extracting #4: cost 277 inf + 4264 56.493 * * [simplify]: Extracting #5: cost 262 inf + 26694 56.523 * * [simplify]: Extracting #6: cost 57 inf + 109963 56.569 * * [simplify]: Extracting #7: cost 0 inf + 132238 56.628 * * [simplify]: Extracting #8: cost 0 inf + 131870 56.690 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* J (* J J))) (* (* (cos (/ K 2)) (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))) (* -8 (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))))) 56.690 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* J (* J J))) (* (* (cos (/ K 2)) (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))) (* -8 (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))))))) 56.691 * * * * [progress]: [ 12 / 142 ] simplifiying candidate # 56.691 * [simplify]: Simplifying (* (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2)))) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2)))) (* (* J J) J)) 56.691 * * [simplify]: iters left: 6 (21 enodes) 56.698 * * [simplify]: iters left: 5 (96 enodes) 56.730 * * [simplify]: iters left: 4 (277 enodes) 56.865 * * [simplify]: Extracting #0: cost 1 inf + 0 56.865 * * [simplify]: Extracting #1: cost 49 inf + 0 56.867 * * [simplify]: Extracting #2: cost 229 inf + 43 56.869 * * [simplify]: Extracting #3: cost 246 inf + 373 56.872 * * [simplify]: Extracting #4: cost 275 inf + 3570 56.884 * * [simplify]: Extracting #5: cost 247 inf + 31854 56.941 * * [simplify]: Extracting #6: cost 56 inf + 108672 57.018 * * [simplify]: Extracting #7: cost 0 inf + 132856 57.095 * * [simplify]: Extracting #8: cost 0 inf + 132816 57.173 * [simplify]: Simplified to (* (* (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) -2)) J) (* (* (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) -2)) J) (* (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) -2)) J))) 57.173 * [simplify]: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) -2)) J) (* (* (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) -2)) J) (* (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) -2)) J))))) 57.174 * * * * [progress]: [ 13 / 142 ] simplifiying candidate # 57.174 * * * * [progress]: [ 14 / 142 ] simplifiying candidate # 57.174 * * * * [progress]: [ 15 / 142 ] simplifiying candidate # 57.174 * * * * [progress]: [ 16 / 142 ] simplifiying candidate # 57.174 * * * * [progress]: [ 17 / 142 ] simplifiying candidate # 57.174 * [simplify]: Simplifying (cbrt J) 57.174 * * [simplify]: iters left: 1 (2 enodes) 57.175 * * [simplify]: Extracting #0: cost 1 inf + 0 57.175 * * [simplify]: Extracting #1: cost 3 inf + 0 57.175 * * [simplify]: Extracting #2: cost 2 inf + 1 57.176 * * [simplify]: Extracting #3: cost 0 inf + 163 57.176 * [simplify]: Simplified to (cbrt J) 57.176 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) (* (cbrt J) (cbrt J))) (cbrt J))) 57.176 * * * * [progress]: [ 18 / 142 ] simplifiying candidate # 57.176 * [simplify]: Simplifying (sqrt J) 57.176 * * [simplify]: iters left: 1 (2 enodes) 57.177 * * [simplify]: Extracting #0: cost 1 inf + 0 57.177 * * [simplify]: Extracting #1: cost 3 inf + 0 57.177 * * [simplify]: Extracting #2: cost 2 inf + 1 57.177 * * [simplify]: Extracting #3: cost 0 inf + 83 57.177 * [simplify]: Simplified to (sqrt J) 57.177 * [simplify]: Simplified (2 2) to (λ (J K U) (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) (sqrt J)) (sqrt J))) 57.177 * * * * [progress]: [ 19 / 142 ] simplifiying candidate # 57.178 * * * * [progress]: [ 20 / 142 ] simplifiying candidate # 57.178 * [simplify]: Simplifying (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) 57.178 * * [simplify]: iters left: 6 (15 enodes) 57.187 * * [simplify]: iters left: 5 (59 enodes) 57.208 * * [simplify]: iters left: 4 (112 enodes) 57.239 * * [simplify]: iters left: 3 (365 enodes) 57.486 * * [simplify]: Extracting #0: cost 1 inf + 0 57.486 * * [simplify]: Extracting #1: cost 4 inf + 0 57.486 * * [simplify]: Extracting #2: cost 5 inf + 1 57.486 * * [simplify]: Extracting #3: cost 8 inf + 1 57.486 * * [simplify]: Extracting #4: cost 121 inf + 2 57.489 * * [simplify]: Extracting #5: cost 237 inf + 214 57.491 * * [simplify]: Extracting #6: cost 202 inf + 3502 57.496 * * [simplify]: Extracting #7: cost 112 inf + 21265 57.508 * * [simplify]: Extracting #8: cost 11 inf + 45496 57.525 * * [simplify]: Extracting #9: cost 0 inf + 47914 57.555 * * [simplify]: Extracting #10: cost 0 inf + 47913 57.585 * * [simplify]: Extracting #11: cost 0 inf + 47912 57.618 * [simplify]: Simplified to (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 57.618 * [simplify]: Simplified (2 1) to (λ (J K U) (* (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (cos (/ K 2)) J))) 57.618 * * * * [progress]: [ 21 / 142 ] simplifiying candidate # 57.618 * [simplify]: Simplifying (* (* (* (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) -2) (cos (/ K 2))) J) 57.619 * * [simplify]: iters left: 6 (20 enodes) 57.631 * * [simplify]: iters left: 5 (88 enodes) 57.656 * * [simplify]: iters left: 4 (218 enodes) 57.796 * * [simplify]: Extracting #0: cost 1 inf + 0 57.796 * * [simplify]: Extracting #1: cost 17 inf + 0 57.796 * * [simplify]: Extracting #2: cost 29 inf + 2 57.796 * * [simplify]: Extracting #3: cost 33 inf + 86 57.796 * * [simplify]: Extracting #4: cost 126 inf + 89 57.797 * * [simplify]: Extracting #5: cost 327 inf + 1396 57.811 * * [simplify]: Extracting #6: cost 253 inf + 34932 57.842 * * [simplify]: Extracting #7: cost 71 inf + 99693 57.878 * * [simplify]: Extracting #8: cost 0 inf + 125482 57.916 * * [simplify]: Extracting #9: cost 0 inf + 125231 57.947 * * [simplify]: Extracting #10: cost 0 inf + 125151 57.998 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2))))) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))))) 57.998 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2))))) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) 57.999 * * * * [progress]: [ 22 / 142 ] simplifiying candidate # 57.999 * [simplify]: Simplifying (* (* (* (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) -2) (cos (/ K 2))) J) 57.999 * * [simplify]: iters left: 6 (19 enodes) 58.011 * * [simplify]: iters left: 5 (80 enodes) 58.031 * * [simplify]: iters left: 4 (192 enodes) 58.133 * * [simplify]: Extracting #0: cost 1 inf + 0 58.133 * * [simplify]: Extracting #1: cost 17 inf + 0 58.134 * * [simplify]: Extracting #2: cost 29 inf + 2 58.134 * * [simplify]: Extracting #3: cost 36 inf + 86 58.134 * * [simplify]: Extracting #4: cost 126 inf + 90 58.135 * * [simplify]: Extracting #5: cost 297 inf + 2114 58.146 * * [simplify]: Extracting #6: cost 134 inf + 53340 58.185 * * [simplify]: Extracting #7: cost 4 inf + 93126 58.211 * * [simplify]: Extracting #8: cost 0 inf + 94242 58.240 * * [simplify]: Extracting #9: cost 0 inf + 94164 58.274 * [simplify]: Simplified to (* (* -2 (* (cos (/ K 2)) J)) (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))) 58.274 * [simplify]: Simplified (2 1) to (λ (J K U) (/ (* (* -2 (* (cos (/ K 2)) J)) (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 58.275 * * * * [progress]: [ 23 / 142 ] simplifiying candidate #real (real->posit16 (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))))> 58.275 * * * * [progress]: [ 24 / 142 ] simplifiying candidate # 58.275 * * * * [progress]: [ 25 / 142 ] simplifiying candidate # 58.275 * * * * [progress]: [ 26 / 142 ] simplifiying candidate # 58.275 * * * * [progress]: [ 27 / 142 ] simplifiying candidate # 58.275 * * * * [progress]: [ 28 / 142 ] simplifiying candidate # 58.275 * * * * [progress]: [ 29 / 142 ] simplifiying candidate # 58.275 * * * * [progress]: [ 30 / 142 ] simplifiying candidate # 58.275 * * * * [progress]: [ 31 / 142 ] simplifiying candidate # 58.275 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 58.275 * * [simplify]: iters left: 6 (15 enodes) 58.280 * * [simplify]: iters left: 5 (59 enodes) 58.291 * * [simplify]: iters left: 4 (112 enodes) 58.333 * * [simplify]: iters left: 3 (365 enodes) 58.614 * * [simplify]: Extracting #0: cost 1 inf + 0 58.614 * * [simplify]: Extracting #1: cost 4 inf + 0 58.614 * * [simplify]: Extracting #2: cost 7 inf + 0 58.614 * * [simplify]: Extracting #3: cost 10 inf + 0 58.614 * * [simplify]: Extracting #4: cost 122 inf + 1 58.620 * * [simplify]: Extracting #5: cost 241 inf + 89 58.623 * * [simplify]: Extracting #6: cost 203 inf + 3666 58.629 * * [simplify]: Extracting #7: cost 128 inf + 17960 58.641 * * [simplify]: Extracting #8: cost 13 inf + 45848 58.657 * * [simplify]: Extracting #9: cost 0 inf + 48961 58.675 * [simplify]: Simplified to (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) 58.675 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (* (* (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (sqrt (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)) 58.675 * * * * [progress]: [ 32 / 142 ] simplifiying candidate # 58.675 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) 58.676 * * [simplify]: iters left: 6 (14 enodes) 58.683 * * [simplify]: iters left: 5 (55 enodes) 58.702 * * [simplify]: iters left: 4 (108 enodes) 58.758 * * [simplify]: iters left: 3 (363 enodes) 59.025 * * [simplify]: Extracting #0: cost 1 inf + 0 59.025 * * [simplify]: Extracting #1: cost 3 inf + 0 59.025 * * [simplify]: Extracting #2: cost 5 inf + 0 59.025 * * [simplify]: Extracting #3: cost 8 inf + 0 59.026 * * [simplify]: Extracting #4: cost 123 inf + 1 59.028 * * [simplify]: Extracting #5: cost 234 inf + 420 59.031 * * [simplify]: Extracting #6: cost 203 inf + 3175 59.039 * * [simplify]: Extracting #7: cost 127 inf + 18949 59.066 * * [simplify]: Extracting #8: cost 7 inf + 46860 59.082 * * [simplify]: Extracting #9: cost 0 inf + 48232 59.099 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 59.099 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (* (* (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)) 59.099 * * * * [progress]: [ 33 / 142 ] simplifiying candidate # 59.100 * [simplify]: Simplifying (sqrt 1) 59.100 * * [simplify]: iters left: 1 (2 enodes) 59.102 * * [simplify]: Extracting #0: cost 1 inf + 0 59.102 * * [simplify]: Extracting #1: cost 0 inf + 1 59.102 * [simplify]: Simplified to 1 59.102 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (* (* 1 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (cos (/ K 2))) J)) 59.102 * * * * [progress]: [ 34 / 142 ] simplifiying candidate # 59.103 * [simplify]: Simplifying (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) 59.103 * * [simplify]: iters left: 6 (16 enodes) 59.113 * * [simplify]: iters left: 5 (70 enodes) 59.142 * * [simplify]: iters left: 4 (176 enodes) 59.300 * * [simplify]: Extracting #0: cost 1 inf + 0 59.300 * * [simplify]: Extracting #1: cost 3 inf + 0 59.300 * * [simplify]: Extracting #2: cost 6 inf + 0 59.300 * * [simplify]: Extracting #3: cost 103 inf + 1 59.302 * * [simplify]: Extracting #4: cost 306 inf + 6 59.303 * * [simplify]: Extracting #5: cost 338 inf + 1810 59.308 * * [simplify]: Extracting #6: cost 242 inf + 27932 59.325 * * [simplify]: Extracting #7: cost 28 inf + 100762 59.354 * * [simplify]: Extracting #8: cost 0 inf + 110036 59.386 * [simplify]: Simplified to (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))))))) 59.386 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (* (/ (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 (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) -2) (cos (/ K 2))) J)) 59.386 * * * * [progress]: [ 35 / 142 ] simplifiying candidate # 59.387 * [simplify]: Simplifying (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) 59.387 * * [simplify]: iters left: 6 (15 enodes) 59.396 * * [simplify]: iters left: 5 (62 enodes) 59.417 * * [simplify]: iters left: 4 (150 enodes) 59.519 * * [simplify]: Extracting #0: cost 1 inf + 0 59.519 * * [simplify]: Extracting #1: cost 3 inf + 0 59.519 * * [simplify]: Extracting #2: cost 9 inf + 0 59.520 * * [simplify]: Extracting #3: cost 105 inf + 2 59.520 * * [simplify]: Extracting #4: cost 286 inf + 6 59.522 * * [simplify]: Extracting #5: cost 280 inf + 1923 59.530 * * [simplify]: Extracting #6: cost 191 inf + 25190 59.556 * * [simplify]: Extracting #7: cost 26 inf + 76271 59.591 * * [simplify]: Extracting #8: cost 0 inf + 85028 59.627 * [simplify]: Simplified to (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) 59.627 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (* (/ (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (cos (/ K 2))) J)) 59.628 * * * * [progress]: [ 36 / 142 ] simplifiying candidate # 59.628 * [simplify]: Simplifying (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 59.628 * * [simplify]: iters left: 6 (12 enodes) 59.635 * * [simplify]: iters left: 5 (49 enodes) 59.653 * * [simplify]: iters left: 4 (102 enodes) 59.707 * * [simplify]: iters left: 3 (356 enodes) 59.968 * * [simplify]: Extracting #0: cost 1 inf + 0 59.968 * * [simplify]: Extracting #1: cost 4 inf + 0 59.968 * * [simplify]: Extracting #2: cost 116 inf + 1 59.970 * * [simplify]: Extracting #3: cost 234 inf + 254 59.973 * * [simplify]: Extracting #4: cost 192 inf + 4198 59.983 * * [simplify]: Extracting #5: cost 121 inf + 19235 60.010 * * [simplify]: Extracting #6: cost 5 inf + 46310 60.029 * * [simplify]: Extracting #7: cost 0 inf + 47117 60.047 * * [simplify]: Extracting #8: cost 0 inf + 46998 60.069 * [simplify]: Simplified to (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 60.069 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (* (pow (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (/ 1 2)) -2) (cos (/ K 2))) J)) 60.069 * * * * [progress]: [ 37 / 142 ] simplifiying candidate # 60.069 * * * * [progress]: [ 38 / 142 ] simplifiying candidate # 60.069 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 60.070 * * [simplify]: iters left: 6 (13 enodes) 60.077 * * [simplify]: iters left: 5 (52 enodes) 60.095 * * [simplify]: iters left: 4 (105 enodes) 60.128 * * [simplify]: iters left: 3 (359 enodes) 60.362 * * [simplify]: Extracting #0: cost 1 inf + 0 60.363 * * [simplify]: Extracting #1: cost 3 inf + 0 60.363 * * [simplify]: Extracting #2: cost 6 inf + 0 60.363 * * [simplify]: Extracting #3: cost 118 inf + 1 60.365 * * [simplify]: Extracting #4: cost 235 inf + 336 60.372 * * [simplify]: Extracting #5: cost 193 inf + 4402 60.380 * * [simplify]: Extracting #6: cost 119 inf + 19348 60.406 * * [simplify]: Extracting #7: cost 7 inf + 46040 60.435 * * [simplify]: Extracting #8: cost 0 inf + 47488 60.451 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 60.451 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (* (fabs (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -2) (cos (/ K 2))) J)) 60.451 * * * * [progress]: [ 39 / 142 ] simplifiying candidate # 60.451 * * * * [progress]: [ 40 / 142 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J))> 60.451 * * * * [progress]: [ 41 / 142 ] simplifiying candidate # 60.451 * [simplify]: Simplifying (/ U (* 2 (* (cos (/ K 2)) J))) 60.451 * * [simplify]: iters left: 6 (9 enodes) 60.454 * * [simplify]: iters left: 5 (33 enodes) 60.459 * * [simplify]: iters left: 4 (51 enodes) 60.467 * * [simplify]: iters left: 3 (68 enodes) 60.476 * * [simplify]: iters left: 2 (73 enodes) 60.493 * * [simplify]: Extracting #0: cost 1 inf + 0 60.493 * * [simplify]: Extracting #1: cost 12 inf + 0 60.493 * * [simplify]: Extracting #2: cost 21 inf + 3 60.494 * * [simplify]: Extracting #3: cost 21 inf + 337 60.494 * * [simplify]: Extracting #4: cost 12 inf + 1158 60.495 * * [simplify]: Extracting #5: cost 0 inf + 3114 60.496 * [simplify]: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) 60.497 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (pow (/ (/ U (* J 2)) (cos (/ K 2))) (+ 1 1)) 1)) -2) (cos (/ K 2))) J)) 60.497 * [simplify]: Simplifying (+ 1 1) 60.497 * * [simplify]: iters left: 2 (2 enodes) 60.500 * * [simplify]: iters left: 1 (9 enodes) 60.503 * * [simplify]: Extracting #0: cost 1 inf + 0 60.503 * * [simplify]: Extracting #1: cost 0 inf + 1 60.503 * [simplify]: Simplified to 2 60.503 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (pow (/ U (* 2 (* (cos (/ K 2)) J))) 2) 1)) -2) (cos (/ K 2))) J)) 60.503 * * * * [progress]: [ 42 / 142 ] simplifiying candidate # 60.503 * [simplify]: Simplifying (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 60.504 * * [simplify]: iters left: 6 (10 enodes) 60.509 * * [simplify]: iters left: 5 (40 enodes) 60.523 * * [simplify]: iters left: 4 (91 enodes) 60.558 * * [simplify]: iters left: 3 (345 enodes) 60.836 * * [simplify]: Extracting #0: cost 1 inf + 0 60.836 * * [simplify]: Extracting #1: cost 119 inf + 0 60.838 * * [simplify]: Extracting #2: cost 236 inf + 45 60.841 * * [simplify]: Extracting #3: cost 207 inf + 2474 60.852 * * [simplify]: Extracting #4: cost 104 inf + 22392 60.883 * * [simplify]: Extracting #5: cost 6 inf + 45410 60.903 * * [simplify]: Extracting #6: cost 0 inf + 46788 60.918 * * [simplify]: Extracting #7: cost 0 inf + 46787 60.935 * [simplify]: Simplified to (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 60.935 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (pow (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 1) 1)) -2) (cos (/ K 2))) J)) 60.935 * * * * [progress]: [ 43 / 142 ] simplifiying candidate # 60.935 * * * * [progress]: [ 44 / 142 ] simplifiying candidate # 60.935 * [simplify]: Simplifying (/ U (* 2 (* (cos (/ K 2)) J))) 60.935 * * [simplify]: iters left: 6 (9 enodes) 60.938 * * [simplify]: iters left: 5 (33 enodes) 60.944 * * [simplify]: iters left: 4 (51 enodes) 60.952 * * [simplify]: iters left: 3 (68 enodes) 60.961 * * [simplify]: iters left: 2 (73 enodes) 60.976 * * [simplify]: Extracting #0: cost 1 inf + 0 60.976 * * [simplify]: Extracting #1: cost 12 inf + 0 60.976 * * [simplify]: Extracting #2: cost 21 inf + 3 60.976 * * [simplify]: Extracting #3: cost 21 inf + 337 60.977 * * [simplify]: Extracting #4: cost 12 inf + 1158 60.978 * * [simplify]: Extracting #5: cost 0 inf + 3114 60.979 * [simplify]: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) 60.979 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (pow (/ (/ U (* J 2)) (cos (/ K 2))) (+ 1 1)) 1)) -2) (cos (/ K 2))) J)) 60.979 * * * * [progress]: [ 45 / 142 ] simplifiying candidate # 60.979 * * * * [progress]: [ 46 / 142 ] simplifiying candidate # 60.980 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))) 60.980 * * [simplify]: iters left: 6 (14 enodes) 60.987 * * [simplify]: iters left: 5 (54 enodes) 61.006 * * [simplify]: iters left: 4 (119 enodes) 61.058 * * [simplify]: iters left: 3 (457 enodes) 61.664 * * [simplify]: Extracting #0: cost 1 inf + 0 61.664 * * [simplify]: Extracting #1: cost 87 inf + 0 61.668 * * [simplify]: Extracting #2: cost 441 inf + 0 61.673 * * [simplify]: Extracting #3: cost 435 inf + 3488 61.681 * * [simplify]: Extracting #4: cost 350 inf + 25733 61.709 * * [simplify]: Extracting #5: cost 181 inf + 99937 61.788 * * [simplify]: Extracting #6: cost 13 inf + 179498 61.869 * * [simplify]: Extracting #7: cost 0 inf + 185853 61.952 * [simplify]: Simplified to (+ (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))) (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2)))))) 61.952 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (exp (+ (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))) (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))))) 1)) -2) (cos (/ K 2))) J)) 61.952 * * * * [progress]: [ 47 / 142 ] simplifiying candidate # 61.953 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))) 61.953 * * [simplify]: iters left: 6 (18 enodes) 61.962 * * [simplify]: iters left: 5 (62 enodes) 61.984 * * [simplify]: iters left: 4 (132 enodes) 62.051 * * [simplify]: iters left: 3 (478 enodes) 62.604 * * [simplify]: Extracting #0: cost 1 inf + 0 62.604 * * [simplify]: Extracting #1: cost 82 inf + 0 62.606 * * [simplify]: Extracting #2: cost 445 inf + 0 62.609 * * [simplify]: Extracting #3: cost 428 inf + 6272 62.613 * * [simplify]: Extracting #4: cost 350 inf + 27083 62.630 * * [simplify]: Extracting #5: cost 195 inf + 92277 62.693 * * [simplify]: Extracting #6: cost 8 inf + 176798 62.733 * * [simplify]: Extracting #7: cost 0 inf + 179724 62.797 * [simplify]: Simplified to (+ (- (- (log U) (log 2)) (log (* (cos (/ K 2)) J))) (- (- (log U) (log 2)) (log (* (cos (/ K 2)) J)))) 62.797 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (exp (+ (- (- (log U) (log 2)) (log (* (cos (/ K 2)) J))) (- (- (log U) (log 2)) (log (* (cos (/ K 2)) J))))) 1)) -2) (cos (/ K 2))) J)) 62.797 * * * * [progress]: [ 48 / 142 ] simplifiying candidate # 62.798 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 62.798 * * [simplify]: iters left: 6 (18 enodes) 62.807 * * [simplify]: iters left: 5 (75 enodes) 62.821 * * [simplify]: iters left: 4 (150 enodes) 62.868 * * [simplify]: iters left: 3 (441 enodes) 63.274 * * [simplify]: Extracting #0: cost 1 inf + 0 63.274 * * [simplify]: Extracting #1: cost 83 inf + 0 63.276 * * [simplify]: Extracting #2: cost 392 inf + 0 63.283 * * [simplify]: Extracting #3: cost 353 inf + 11476 63.287 * * [simplify]: Extracting #4: cost 305 inf + 24860 63.310 * * [simplify]: Extracting #5: cost 144 inf + 93825 63.375 * * [simplify]: Extracting #6: cost 4 inf + 152810 63.444 * * [simplify]: Extracting #7: cost 0 inf + 148235 63.509 * * [simplify]: Extracting #8: cost 0 inf + 147415 63.569 * [simplify]: Simplified to (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 63.569 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (exp (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (cos (/ K 2))) J)) 63.569 * * * * [progress]: [ 49 / 142 ] simplifiying candidate # 63.570 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J)))) (log (/ U (* 2 (* (cos (/ K 2)) J))))) 63.570 * * [simplify]: iters left: 6 (18 enodes) 63.576 * * [simplify]: iters left: 5 (73 enodes) 63.589 * * [simplify]: iters left: 4 (158 enodes) 63.643 * * [simplify]: iters left: 3 (401 enodes) 63.911 * * [simplify]: Extracting #0: cost 1 inf + 0 63.911 * * [simplify]: Extracting #1: cost 75 inf + 0 63.912 * * [simplify]: Extracting #2: cost 294 inf + 0 63.914 * * [simplify]: Extracting #3: cost 333 inf + 1095 63.916 * * [simplify]: Extracting #4: cost 297 inf + 8726 63.922 * * [simplify]: Extracting #5: cost 207 inf + 35649 63.942 * * [simplify]: Extracting #6: cost 32 inf + 113007 63.986 * * [simplify]: Extracting #7: cost 3 inf + 120686 64.021 * * [simplify]: Extracting #8: cost 0 inf + 119948 64.045 * * [simplify]: Extracting #9: cost 0 inf + 119908 64.079 * [simplify]: Simplified to (+ (log (/ (/ (/ U J) 2) (cos (/ K 2)))) (log (/ (/ (/ U J) 2) (cos (/ K 2))))) 64.079 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (exp (+ (log (/ (/ (/ U J) 2) (cos (/ K 2)))) (log (/ (/ (/ U J) 2) (cos (/ K 2)))))) 1)) -2) (cos (/ K 2))) J)) 64.080 * * * * [progress]: [ 50 / 142 ] simplifiying candidate # 64.080 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))) 64.080 * * [simplify]: iters left: 6 (18 enodes) 64.085 * * [simplify]: iters left: 5 (63 enodes) 64.103 * * [simplify]: iters left: 4 (128 enodes) 64.167 * * [simplify]: iters left: 3 (467 enodes) 64.706 * * [simplify]: Extracting #0: cost 1 inf + 0 64.706 * * [simplify]: Extracting #1: cost 87 inf + 0 64.708 * * [simplify]: Extracting #2: cost 459 inf + 0 64.711 * * [simplify]: Extracting #3: cost 444 inf + 6063 64.717 * * [simplify]: Extracting #4: cost 367 inf + 26781 64.745 * * [simplify]: Extracting #5: cost 208 inf + 91682 64.824 * * [simplify]: Extracting #6: cost 16 inf + 181307 64.906 * * [simplify]: Extracting #7: cost 0 inf + 189267 64.987 * [simplify]: Simplified to (+ (- (- (log U) (log (* J (cos (/ K 2))))) (log 2)) (- (- (log U) (log (* J (cos (/ K 2))))) (log 2))) 64.987 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (exp (+ (- (- (log U) (log (* J (cos (/ K 2))))) (log 2)) (- (- (log U) (log (* J (cos (/ K 2))))) (log 2)))) 1)) -2) (cos (/ K 2))) J)) 64.987 * * * * [progress]: [ 51 / 142 ] simplifiying candidate # 64.988 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))) 64.988 * * [simplify]: iters left: 6 (13 enodes) 64.992 * * [simplify]: iters left: 5 (52 enodes) 65.001 * * [simplify]: iters left: 4 (107 enodes) 65.045 * * [simplify]: iters left: 3 (365 enodes) 65.407 * * [simplify]: Extracting #0: cost 1 inf + 0 65.407 * * [simplify]: Extracting #1: cost 73 inf + 0 65.410 * * [simplify]: Extracting #2: cost 366 inf + 0 65.419 * * [simplify]: Extracting #3: cost 356 inf + 3306 65.425 * * [simplify]: Extracting #4: cost 311 inf + 14304 65.436 * * [simplify]: Extracting #5: cost 182 inf + 63744 65.468 * * [simplify]: Extracting #6: cost 3 inf + 143874 65.512 * * [simplify]: Extracting #7: cost 0 inf + 144974 65.564 * [simplify]: Simplified to (+ (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))) (- (- (log U) (log 2)) (log (* J (cos (/ K 2)))))) 65.564 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (exp (+ (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))) (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))))) 1)) -2) (cos (/ K 2))) J)) 65.564 * * * * [progress]: [ 52 / 142 ] simplifiying candidate # 65.565 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 65.565 * * [simplify]: iters left: 6 (16 enodes) 65.573 * * [simplify]: iters left: 5 (63 enodes) 65.586 * * [simplify]: iters left: 4 (135 enodes) 65.618 * * [simplify]: iters left: 3 (409 enodes) 65.930 * * [simplify]: Extracting #0: cost 1 inf + 0 65.930 * * [simplify]: Extracting #1: cost 70 inf + 0 65.931 * * [simplify]: Extracting #2: cost 384 inf + 0 65.934 * * [simplify]: Extracting #3: cost 371 inf + 5484 65.941 * * [simplify]: Extracting #4: cost 306 inf + 22123 65.952 * * [simplify]: Extracting #5: cost 174 inf + 73482 65.992 * * [simplify]: Extracting #6: cost 9 inf + 144143 66.040 * * [simplify]: Extracting #7: cost 0 inf + 144938 66.076 * * [simplify]: Extracting #8: cost 0 inf + 144748 66.112 * [simplify]: Simplified to (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2)))))) 66.112 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (exp (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))))) 1)) -2) (cos (/ K 2))) J)) 66.113 * * * * [progress]: [ 53 / 142 ] simplifiying candidate # 66.113 * [simplify]: Simplifying (+ (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J)))) (log (/ U (* 2 (* (cos (/ K 2)) J))))) 66.113 * * [simplify]: iters left: 6 (16 enodes) 66.122 * * [simplify]: iters left: 5 (67 enodes) 66.145 * * [simplify]: iters left: 4 (136 enodes) 66.204 * * [simplify]: iters left: 3 (364 enodes) 66.411 * * [simplify]: Extracting #0: cost 1 inf + 0 66.411 * * [simplify]: Extracting #1: cost 62 inf + 0 66.413 * * [simplify]: Extracting #2: cost 325 inf + 0 66.417 * * [simplify]: Extracting #3: cost 344 inf + 4236 66.422 * * [simplify]: Extracting #4: cost 302 inf + 14346 66.439 * * [simplify]: Extracting #5: cost 171 inf + 62575 66.478 * * [simplify]: Extracting #6: cost 9 inf + 127185 66.524 * * [simplify]: Extracting #7: cost 0 inf + 124566 66.556 * * [simplify]: Extracting #8: cost 0 inf + 124346 66.597 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* J (cos (/ K 2))))) (log (/ (/ U 2) (* J (cos (/ K 2)))))) 66.598 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* J (cos (/ K 2))))) (log (/ (/ U 2) (* J (cos (/ K 2))))))) 1)) -2) (cos (/ K 2))) J)) 66.598 * * * * [progress]: [ 54 / 142 ] simplifiying candidate # 66.598 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))) 66.598 * * [simplify]: iters left: 6 (18 enodes) 66.607 * * [simplify]: iters left: 5 (75 enodes) 66.621 * * [simplify]: iters left: 4 (153 enodes) 66.674 * * [simplify]: iters left: 3 (475 enodes) 67.113 * * [simplify]: Extracting #0: cost 1 inf + 0 67.113 * * [simplify]: Extracting #1: cost 84 inf + 0 67.115 * * [simplify]: Extracting #2: cost 434 inf + 0 67.118 * * [simplify]: Extracting #3: cost 400 inf + 11081 67.122 * * [simplify]: Extracting #4: cost 349 inf + 23822 67.135 * * [simplify]: Extracting #5: cost 211 inf + 78498 67.184 * * [simplify]: Extracting #6: cost 13 inf + 162504 67.263 * * [simplify]: Extracting #7: cost 0 inf + 165480 67.336 * * [simplify]: Extracting #8: cost 0 inf + 165120 67.379 * [simplify]: Simplified to (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2)))))) 67.379 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (exp (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))))) 1)) -2) (cos (/ K 2))) J)) 67.380 * * * * [progress]: [ 55 / 142 ] simplifiying candidate # 67.380 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))) 67.380 * * [simplify]: iters left: 6 (16 enodes) 67.389 * * [simplify]: iters left: 5 (63 enodes) 67.411 * * [simplify]: iters left: 4 (131 enodes) 67.461 * * [simplify]: iters left: 3 (400 enodes) 67.857 * * [simplify]: Extracting #0: cost 1 inf + 0 67.857 * * [simplify]: Extracting #1: cost 73 inf + 0 67.859 * * [simplify]: Extracting #2: cost 360 inf + 0 67.860 * * [simplify]: Extracting #3: cost 368 inf + 1570 67.864 * * [simplify]: Extracting #4: cost 284 inf + 22316 67.873 * * [simplify]: Extracting #5: cost 181 inf + 60735 67.899 * * [simplify]: Extracting #6: cost 16 inf + 128257 67.945 * * [simplify]: Extracting #7: cost 0 inf + 132824 68.004 * * [simplify]: Extracting #8: cost 0 inf + 132754 68.051 * [simplify]: Simplified to (+ (- (log U) (log (* (* (cos (/ K 2)) J) 2))) (- (log U) (log (* (* (cos (/ K 2)) J) 2)))) 68.051 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (exp (+ (- (log U) (log (* (* (cos (/ K 2)) J) 2))) (- (log U) (log (* (* (cos (/ K 2)) J) 2))))) 1)) -2) (cos (/ K 2))) J)) 68.051 * * * * [progress]: [ 56 / 142 ] simplifiying candidate # 68.051 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 68.052 * * [simplify]: iters left: 6 (12 enodes) 68.055 * * [simplify]: iters left: 5 (49 enodes) 68.064 * * [simplify]: iters left: 4 (96 enodes) 68.085 * * [simplify]: iters left: 3 (241 enodes) 68.215 * * [simplify]: Extracting #0: cost 1 inf + 0 68.215 * * [simplify]: Extracting #1: cost 49 inf + 0 68.217 * * [simplify]: Extracting #2: cost 251 inf + 0 68.219 * * [simplify]: Extracting #3: cost 249 inf + 1539 68.222 * * [simplify]: Extracting #4: cost 212 inf + 9334 68.226 * * [simplify]: Extracting #5: cost 194 inf + 13677 68.229 * * [simplify]: Extracting #6: cost 164 inf + 24866 68.243 * * [simplify]: Extracting #7: cost 45 inf + 75345 68.267 * * [simplify]: Extracting #8: cost 2 inf + 93245 68.302 * * [simplify]: Extracting #9: cost 0 inf + 93841 68.338 * [simplify]: Simplified to (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2)))))) 68.338 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (exp (+ (- (log U) (log (* (* J 2) (cos (/ K 2))))) (- (log U) (log (* (* J 2) (cos (/ K 2))))))) 1)) -2) (cos (/ K 2))) J)) 68.338 * * * * [progress]: [ 57 / 142 ] simplifiying candidate # 68.339 * [simplify]: Simplifying (+ (- (log U) (log (* 2 (* (cos (/ K 2)) J)))) (log (/ U (* 2 (* (cos (/ K 2)) J))))) 68.339 * * [simplify]: iters left: 6 (14 enodes) 68.346 * * [simplify]: iters left: 5 (54 enodes) 68.356 * * [simplify]: iters left: 4 (109 enodes) 68.383 * * [simplify]: iters left: 3 (265 enodes) 68.526 * * [simplify]: Extracting #0: cost 1 inf + 0 68.526 * * [simplify]: Extracting #1: cost 49 inf + 0 68.528 * * [simplify]: Extracting #2: cost 242 inf + 0 68.530 * * [simplify]: Extracting #3: cost 259 inf + 523 68.533 * * [simplify]: Extracting #4: cost 212 inf + 10345 68.540 * * [simplify]: Extracting #5: cost 159 inf + 24153 68.567 * * [simplify]: Extracting #6: cost 18 inf + 79713 68.604 * * [simplify]: Extracting #7: cost 0 inf + 86997 68.632 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 68.632 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (cos (/ K 2))) J)) 68.632 * * * * [progress]: [ 58 / 142 ] simplifiying candidate # 68.632 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (+ (log (cos (/ K 2))) (log J))))) 68.632 * * [simplify]: iters left: 6 (18 enodes) 68.637 * * [simplify]: iters left: 5 (73 enodes) 68.650 * * [simplify]: iters left: 4 (156 enodes) 68.702 * * [simplify]: iters left: 3 (366 enodes) 68.921 * * [simplify]: Extracting #0: cost 1 inf + 0 68.922 * * [simplify]: Extracting #1: cost 81 inf + 0 68.923 * * [simplify]: Extracting #2: cost 315 inf + 0 68.924 * * [simplify]: Extracting #3: cost 336 inf + 1721 68.927 * * [simplify]: Extracting #4: cost 282 inf + 12964 68.931 * * [simplify]: Extracting #5: cost 226 inf + 27763 68.948 * * [simplify]: Extracting #6: cost 44 inf + 102658 68.989 * * [simplify]: Extracting #7: cost 0 inf + 118994 69.016 * * [simplify]: Extracting #8: cost 0 inf + 118854 69.042 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 69.042 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (cos (/ K 2))) J)) 69.042 * * * * [progress]: [ 59 / 142 ] simplifiying candidate # 69.042 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (- (log U) (+ (log 2) (log (* (cos (/ K 2)) J))))) 69.042 * * [simplify]: iters left: 6 (16 enodes) 69.047 * * [simplify]: iters left: 5 (67 enodes) 69.059 * * [simplify]: iters left: 4 (134 enodes) 69.104 * * [simplify]: iters left: 3 (341 enodes) 69.297 * * [simplify]: Extracting #0: cost 1 inf + 0 69.297 * * [simplify]: Extracting #1: cost 69 inf + 0 69.298 * * [simplify]: Extracting #2: cost 344 inf + 0 69.300 * * [simplify]: Extracting #3: cost 365 inf + 1843 69.303 * * [simplify]: Extracting #4: cost 320 inf + 11850 69.313 * * [simplify]: Extracting #5: cost 166 inf + 66434 69.354 * * [simplify]: Extracting #6: cost 7 inf + 128209 69.389 * * [simplify]: Extracting #7: cost 0 inf + 129716 69.419 * * [simplify]: Extracting #8: cost 0 inf + 129576 69.449 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 69.449 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (cos (/ K 2))) J)) 69.449 * * * * [progress]: [ 60 / 142 ] simplifiying candidate # 69.450 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (- (log U) (log (* 2 (* (cos (/ K 2)) J))))) 69.450 * * [simplify]: iters left: 6 (14 enodes) 69.457 * * [simplify]: iters left: 5 (54 enodes) 69.475 * * [simplify]: iters left: 4 (106 enodes) 69.502 * * [simplify]: iters left: 3 (231 enodes) 69.608 * * [simplify]: Extracting #0: cost 1 inf + 0 69.608 * * [simplify]: Extracting #1: cost 64 inf + 0 69.610 * * [simplify]: Extracting #2: cost 246 inf + 0 69.611 * * [simplify]: Extracting #3: cost 259 inf + 560 69.615 * * [simplify]: Extracting #4: cost 218 inf + 8763 69.623 * * [simplify]: Extracting #5: cost 148 inf + 29077 69.648 * * [simplify]: Extracting #6: cost 27 inf + 76331 69.678 * * [simplify]: Extracting #7: cost 0 inf + 87431 69.708 * * [simplify]: Extracting #8: cost 0 inf + 87391 69.736 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 69.737 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (cos (/ K 2))) J)) 69.737 * * * * [progress]: [ 61 / 142 ] simplifiying candidate # 69.737 * [simplify]: Simplifying (+ (log (/ U (* 2 (* (cos (/ K 2)) J)))) (log (/ U (* 2 (* (cos (/ K 2)) J))))) 69.737 * * [simplify]: iters left: 6 (11 enodes) 69.742 * * [simplify]: iters left: 5 (42 enodes) 69.759 * * [simplify]: iters left: 4 (79 enodes) 69.786 * * [simplify]: iters left: 3 (176 enodes) 69.831 * * [simplify]: iters left: 2 (491 enodes) 70.314 * * [simplify]: Extracting #0: cost 1 inf + 0 70.314 * * [simplify]: Extracting #1: cost 79 inf + 0 70.317 * * [simplify]: Extracting #2: cost 424 inf + 0 70.322 * * [simplify]: Extracting #3: cost 434 inf + 1374 70.328 * * [simplify]: Extracting #4: cost 365 inf + 15165 70.340 * * [simplify]: Extracting #5: cost 222 inf + 60738 70.373 * * [simplify]: Extracting #6: cost 20 inf + 142135 70.419 * * [simplify]: Extracting #7: cost 0 inf + 147485 70.479 * * [simplify]: Extracting #8: cost 0 inf + 147405 70.525 * [simplify]: Simplified to (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J)))) 70.525 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (exp (+ (log (/ (/ U 2) (* (cos (/ K 2)) J))) (log (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (cos (/ K 2))) J)) 70.525 * * * * [progress]: [ 62 / 142 ] simplifiying candidate # 70.526 * * * * [progress]: [ 63 / 142 ] simplifiying candidate # 70.526 * * * * [progress]: [ 64 / 142 ] simplifiying candidate # 70.526 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))))) 70.526 * * [simplify]: iters left: 6 (18 enodes) 70.539 * * [simplify]: iters left: 5 (81 enodes) 70.559 * * [simplify]: iters left: 4 (297 enodes) 71.061 * * [simplify]: Extracting #0: cost 1 inf + 0 71.062 * * [simplify]: Extracting #1: cost 317 inf + 0 71.070 * * [simplify]: Extracting #2: cost 1360 inf + 1186 71.088 * * [simplify]: Extracting #3: cost 1159 inf + 28787 71.122 * * [simplify]: Extracting #4: cost 1067 inf + 46078 71.145 * * [simplify]: Extracting #5: cost 1058 inf + 48222 71.201 * * [simplify]: Extracting #6: cost 700 inf + 217292 71.359 * * [simplify]: Extracting #7: cost 50 inf + 478678 71.523 * * [simplify]: Extracting #8: cost 0 inf + 450895 71.693 * * [simplify]: Extracting #9: cost 0 inf + 450215 71.858 * [simplify]: Simplified to (* (/ (/ (* U U) (/ 8 U)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) (/ (/ (* U U) (/ 8 U)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) 71.858 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (cbrt (* (/ (/ (* U U) (/ 8 U)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) (/ (/ (* U U) (/ 8 U)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))))) 1)) -2) (cos (/ K 2))) J)) 71.858 * * * * [progress]: [ 65 / 142 ] simplifiying candidate # 71.858 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))))) 71.858 * * [simplify]: iters left: 6 (23 enodes) 71.867 * * [simplify]: iters left: 5 (116 enodes) 71.914 * * [simplify]: iters left: 4 (394 enodes) 72.943 * * [simplify]: Extracting #0: cost 1 inf + 0 72.944 * * [simplify]: Extracting #1: cost 305 inf + 0 72.965 * * [simplify]: Extracting #2: cost 1687 inf + 1266 72.984 * * [simplify]: Extracting #3: cost 1524 inf + 28963 73.008 * * [simplify]: Extracting #4: cost 1425 inf + 42935 73.074 * * [simplify]: Extracting #5: cost 1007 inf + 187192 73.249 * * [simplify]: Extracting #6: cost 91 inf + 536933 73.469 * * [simplify]: Extracting #7: cost 0 inf + 555816 73.681 * * [simplify]: Extracting #8: cost 0 inf + 555016 73.886 * [simplify]: Simplified to (* (/ (/ (/ (* U U) (/ 8 U)) (* J (cos (/ K 2)))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) (/ (/ (/ (* U U) (/ 8 U)) (* J (cos (/ K 2)))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) 73.886 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (cbrt (* (/ (/ (/ (* U U) (/ 8 U)) (* J (cos (/ K 2)))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) (/ (/ (/ (* U U) (/ 8 U)) (* J (cos (/ K 2)))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) 1)) -2) (cos (/ K 2))) J)) 73.887 * * * * [progress]: [ 66 / 142 ] simplifiying candidate # 73.887 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))) (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) 73.887 * * [simplify]: iters left: 6 (23 enodes) 73.903 * * [simplify]: iters left: 5 (117 enodes) 73.962 * * [simplify]: Extracting #0: cost 1 inf + 0 73.962 * * [simplify]: Extracting #1: cost 57 inf + 0 73.962 * * [simplify]: Extracting #2: cost 198 inf + 1 73.963 * * [simplify]: Extracting #3: cost 196 inf + 1963 73.964 * * [simplify]: Extracting #4: cost 175 inf + 4048 73.967 * * [simplify]: Extracting #5: cost 138 inf + 14158 73.975 * * [simplify]: Extracting #6: cost 38 inf + 45666 73.988 * * [simplify]: Extracting #7: cost 0 inf + 59703 74.008 * * [simplify]: Extracting #8: cost 0 inf + 58861 74.026 * [simplify]: Simplified to (* (/ (/ (* U (* U U)) 8) (* (* (cos (/ K 2)) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) J)) (/ (/ (* U (* U U)) (* (cos (/ K 2)) (* J 2))) (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2))))) 74.026 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (cbrt (* (/ (/ (* U (* U U)) 8) (* (* (cos (/ K 2)) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) J)) (/ (/ (* U (* U U)) (* (cos (/ K 2)) (* J 2))) (* (* (cos (/ K 2)) (* J 2)) (* (cos (/ K 2)) (* J 2)))))) 1)) -2) (cos (/ K 2))) J)) 74.027 * * * * [progress]: [ 67 / 142 ] simplifiying candidate # 74.027 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 74.027 * * [simplify]: iters left: 6 (23 enodes) 74.040 * * [simplify]: iters left: 5 (110 enodes) 74.069 * * [simplify]: iters left: 4 (408 enodes) 74.741 * * [simplify]: Extracting #0: cost 1 inf + 0 74.741 * * [simplify]: Extracting #1: cost 349 inf + 0 74.751 * * [simplify]: Extracting #2: cost 1362 inf + 253 74.759 * * [simplify]: Extracting #3: cost 1372 inf + 8215 74.767 * * [simplify]: Extracting #4: cost 1293 inf + 19441 74.799 * * [simplify]: Extracting #5: cost 942 inf + 149702 74.951 * * [simplify]: Extracting #6: cost 118 inf + 513336 75.195 * * [simplify]: Extracting #7: cost 0 inf + 530464 75.383 * * [simplify]: Extracting #8: cost 0 inf + 526424 75.602 * * [simplify]: Extracting #9: cost 0 inf + 526264 75.777 * [simplify]: Simplified to (/ (* (* U (* U U)) (/ (* (/ U (* (* (cos (/ K 2)) 2) J)) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) 8)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) 75.777 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (cbrt (/ (* (* U (* U U)) (/ (* (/ U (* (* (cos (/ K 2)) 2) J)) (* (/ U (* (* (cos (/ K 2)) 2) J)) (/ U (* (* (cos (/ K 2)) 2) J)))) 8)) (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) 1)) -2) (cos (/ K 2))) J)) 75.778 * * * * [progress]: [ 68 / 142 ] simplifiying candidate # 75.778 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))))) 75.778 * * [simplify]: iters left: 6 (23 enodes) 75.790 * * [simplify]: iters left: 5 (116 enodes) 75.830 * * [simplify]: iters left: 4 (400 enodes) 77.446 * * [simplify]: Extracting #0: cost 1 inf + 0 77.447 * * [simplify]: Extracting #1: cost 338 inf + 0 77.456 * * [simplify]: Extracting #2: cost 1775 inf + 1305 77.475 * * [simplify]: Extracting #3: cost 1631 inf + 26639 77.508 * * [simplify]: Extracting #4: cost 1492 inf + 45349 77.570 * * [simplify]: Extracting #5: cost 991 inf + 264110 77.728 * * [simplify]: Extracting #6: cost 19 inf + 641565 77.961 * * [simplify]: Extracting #7: cost 0 inf + 581792 78.190 * * [simplify]: Extracting #8: cost 0 inf + 581352 78.399 * [simplify]: Simplified to (* (/ (* U U) (/ (* (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) 8) U)) (/ (* U U) (/ (* (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) 8) U))) 78.399 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (cbrt (* (/ (* U U) (/ (* (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) 8) U)) (/ (* U U) (/ (* (* (* J (cos (/ K 2))) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) 8) U)))) 1)) -2) (cos (/ K 2))) J)) 78.399 * * * * [progress]: [ 69 / 142 ] simplifiying candidate # 78.400 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))))) 78.400 * * [simplify]: iters left: 6 (16 enodes) 78.407 * * [simplify]: iters left: 5 (79 enodes) 78.441 * * [simplify]: iters left: 4 (300 enodes) 78.937 * * [simplify]: Extracting #0: cost 1 inf + 0 78.938 * * [simplify]: Extracting #1: cost 276 inf + 0 78.945 * * [simplify]: Extracting #2: cost 1222 inf + 1113 78.955 * * [simplify]: Extracting #3: cost 1095 inf + 16811 78.969 * * [simplify]: Extracting #4: cost 1061 inf + 20800 79.014 * * [simplify]: Extracting #5: cost 657 inf + 183765 79.163 * * [simplify]: Extracting #6: cost 22 inf + 410882 79.331 * * [simplify]: Extracting #7: cost 0 inf + 405405 79.498 * * [simplify]: Extracting #8: cost 0 inf + 405114 79.654 * [simplify]: Simplified to (* (/ (* U (* U U)) (* (* J (cos (/ K 2))) (* (* 8 (* J (cos (/ K 2)))) (* J (cos (/ K 2)))))) (/ (* U (* U U)) (* (* J (cos (/ K 2))) (* (* 8 (* J (cos (/ K 2)))) (* J (cos (/ K 2))))))) 79.654 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (cbrt (* (/ (* U (* U U)) (* (* J (cos (/ K 2))) (* (* 8 (* J (cos (/ K 2)))) (* J (cos (/ K 2)))))) (/ (* U (* U U)) (* (* J (cos (/ K 2))) (* (* 8 (* J (cos (/ K 2)))) (* J (cos (/ K 2)))))))) 1)) -2) (cos (/ K 2))) J)) 79.655 * * * * [progress]: [ 70 / 142 ] simplifiying candidate # 79.655 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) 79.656 * * [simplify]: iters left: 6 (20 enodes) 79.669 * * [simplify]: iters left: 5 (110 enodes) 79.720 * * [simplify]: iters left: 4 (486 enodes) 80.644 * * [simplify]: Extracting #0: cost 1 inf + 0 80.644 * * [simplify]: Extracting #1: cost 357 inf + 0 80.662 * * [simplify]: Extracting #2: cost 1671 inf + 4 80.679 * * [simplify]: Extracting #3: cost 1668 inf + 6826 80.700 * * [simplify]: Extracting #4: cost 1547 inf + 21334 80.760 * * [simplify]: Extracting #5: cost 1187 inf + 145252 80.986 * * [simplify]: Extracting #6: cost 120 inf + 563013 81.201 * * [simplify]: Extracting #7: cost 0 inf + 585634 81.445 * * [simplify]: Extracting #8: cost 0 inf + 584467 81.674 * [simplify]: Simplified to (* (* (/ (/ 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)))))) 81.674 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (cbrt (* (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) 1)) -2) (cos (/ K 2))) J)) 81.674 * * * * [progress]: [ 71 / 142 ] simplifiying candidate # 81.675 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 81.675 * * [simplify]: iters left: 6 (20 enodes) 81.688 * * [simplify]: iters left: 5 (104 enodes) 81.719 * * [simplify]: iters left: 4 (410 enodes) 82.375 * * [simplify]: Extracting #0: cost 1 inf + 0 82.376 * * [simplify]: Extracting #1: cost 320 inf + 0 82.383 * * [simplify]: Extracting #2: cost 1273 inf + 422 82.402 * * [simplify]: Extracting #3: cost 1300 inf + 5654 82.416 * * [simplify]: Extracting #4: cost 1233 inf + 13684 82.451 * * [simplify]: Extracting #5: cost 817 inf + 180631 82.587 * * [simplify]: Extracting #6: cost 86 inf + 457006 82.760 * * [simplify]: Extracting #7: cost 0 inf + 479132 82.951 * * [simplify]: Extracting #8: cost 0 inf + 478812 83.074 * [simplify]: Simplified to (* (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ U 4)) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) (/ (/ U 2) (* J (cos (/ K 2))))) 83.074 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (cbrt (* (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ U 4)) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) (/ (/ U 2) (* J (cos (/ K 2)))))) 1)) -2) (cos (/ K 2))) J)) 83.075 * * * * [progress]: [ 72 / 142 ] simplifiying candidate # 83.075 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))))) 83.075 * * [simplify]: iters left: 6 (23 enodes) 83.083 * * [simplify]: iters left: 5 (117 enodes) 83.115 * * [simplify]: Extracting #0: cost 1 inf + 0 83.115 * * [simplify]: Extracting #1: cost 57 inf + 0 83.115 * * [simplify]: Extracting #2: cost 198 inf + 1 83.116 * * [simplify]: Extracting #3: cost 195 inf + 2086 83.117 * * [simplify]: Extracting #4: cost 174 inf + 4290 83.121 * * [simplify]: Extracting #5: cost 116 inf + 19820 83.132 * * [simplify]: Extracting #6: cost 12 inf + 57316 83.148 * * [simplify]: Extracting #7: cost 0 inf + 58322 83.160 * [simplify]: Simplified to (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))) (/ (/ (* U (* U U)) 8) (* (* (cos (/ K 2)) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) J))) 83.160 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (cbrt (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))) (/ (/ (* U (* U U)) 8) (* (* (cos (/ K 2)) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))) J)))) 1)) -2) (cos (/ K 2))) J)) 83.160 * * * * [progress]: [ 73 / 142 ] simplifiying candidate # 83.161 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))))) 83.161 * * [simplify]: iters left: 6 (20 enodes) 83.169 * * [simplify]: iters left: 5 (110 enodes) 83.211 * * [simplify]: iters left: 4 (486 enodes) 84.223 * * [simplify]: Extracting #0: cost 1 inf + 0 84.223 * * [simplify]: Extracting #1: cost 354 inf + 0 84.230 * * [simplify]: Extracting #2: cost 1732 inf + 947 84.240 * * [simplify]: Extracting #3: cost 1677 inf + 14777 84.264 * * [simplify]: Extracting #4: cost 1558 inf + 34201 84.423 * * [simplify]: Extracting #5: cost 538 inf + 431020 84.659 * * [simplify]: Extracting #6: cost 7 inf + 614791 84.880 * * [simplify]: Extracting #7: cost 0 inf + 600444 85.078 * * [simplify]: Extracting #8: cost 0 inf + 599228 85.324 * * [simplify]: Extracting #9: cost 0 inf + 599108 85.557 * [simplify]: Simplified to (* (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (/ U (* (* 2 (cos (/ K 2))) J))) (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (/ U (* (* 2 (cos (/ K 2))) J)))) 85.557 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (cbrt (* (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (/ U (* (* 2 (cos (/ K 2))) J))) (* (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))) (/ U (* (* 2 (cos (/ K 2))) J))))) 1)) -2) (cos (/ K 2))) J)) 85.558 * * * * [progress]: [ 74 / 142 ] simplifiying candidate # 85.558 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) 85.558 * * [simplify]: iters left: 6 (14 enodes) 85.567 * * [simplify]: iters left: 5 (69 enodes) 85.601 * * [simplify]: iters left: 4 (284 enodes) 86.205 * * [simplify]: Extracting #0: cost 1 inf + 0 86.206 * * [simplify]: Extracting #1: cost 264 inf + 0 86.213 * * [simplify]: Extracting #2: cost 1048 inf + 621 86.223 * * [simplify]: Extracting #3: cost 1004 inf + 7706 86.235 * * [simplify]: Extracting #4: cost 992 inf + 8857 86.272 * * [simplify]: Extracting #5: cost 693 inf + 102376 86.383 * * [simplify]: Extracting #6: cost 68 inf + 348361 86.512 * * [simplify]: Extracting #7: cost 0 inf + 362304 86.678 * * [simplify]: Extracting #8: cost 0 inf + 360357 86.862 * [simplify]: Simplified to (* (* (/ (/ 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))))))) 86.862 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (cbrt (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) 1)) -2) (cos (/ K 2))) J)) 86.863 * * * * [progress]: [ 75 / 142 ] simplifiying candidate # 86.863 * [simplify]: Simplifying (* (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 86.863 * * [simplify]: iters left: 6 (17 enodes) 86.868 * * [simplify]: iters left: 5 (87 enodes) 86.904 * * [simplify]: iters left: 4 (347 enodes) 87.581 * * [simplify]: Extracting #0: cost 1 inf + 0 87.581 * * [simplify]: Extracting #1: cost 232 inf + 0 87.585 * * [simplify]: Extracting #2: cost 1150 inf + 375 87.591 * * [simplify]: Extracting #3: cost 1098 inf + 7458 87.603 * * [simplify]: Extracting #4: cost 1069 inf + 11014 87.635 * * [simplify]: Extracting #5: cost 711 inf + 123503 87.789 * * [simplify]: Extracting #6: cost 36 inf + 371223 87.940 * * [simplify]: Extracting #7: cost 0 inf + 378721 88.124 * * [simplify]: Extracting #8: cost 0 inf + 378639 88.275 * [simplify]: Simplified to (* (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) (* (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))))) 88.275 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (cbrt (* (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) (* (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2))) (* (/ U (* (* J (cos (/ K 2))) 2)) (/ U (* (* J (cos (/ K 2))) 2)))))) 1)) -2) (cos (/ K 2))) J)) 88.275 * * * * [progress]: [ 76 / 142 ] simplifiying candidate # 88.276 * [simplify]: Simplifying (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J))))) 88.276 * * [simplify]: iters left: 6 (23 enodes) 88.291 * * [simplify]: iters left: 5 (110 enodes) 88.344 * * [simplify]: iters left: 4 (410 enodes) 89.028 * * [simplify]: Extracting #0: cost 1 inf + 0 89.029 * * [simplify]: Extracting #1: cost 359 inf + 0 89.036 * * [simplify]: Extracting #2: cost 1287 inf + 419 89.050 * * [simplify]: Extracting #3: cost 1261 inf + 9929 89.067 * * [simplify]: Extracting #4: cost 1180 inf + 21019 89.132 * * [simplify]: Extracting #5: cost 735 inf + 199153 89.288 * * [simplify]: Extracting #6: cost 8 inf + 499942 89.472 * * [simplify]: Extracting #7: cost 0 inf + 474987 89.653 * * [simplify]: Extracting #8: cost 0 inf + 473616 89.838 * [simplify]: Simplified to (* (/ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) 8) (/ (* (* U U) U) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))))) 89.838 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (cbrt (* (/ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) 8) (/ (* (* U U) U) (* (* (cos (/ K 2)) J) (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))))) 1)) -2) (cos (/ K 2))) J)) 89.838 * * * * [progress]: [ 77 / 142 ] simplifiying candidate # 89.838 * [simplify]: Simplifying (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 2) 2) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))))) 89.838 * * [simplify]: iters left: 6 (20 enodes) 89.846 * * [simplify]: iters left: 5 (104 enodes) 89.875 * * [simplify]: iters left: 4 (410 enodes) 90.473 * * [simplify]: Extracting #0: cost 1 inf + 0 90.474 * * [simplify]: Extracting #1: cost 333 inf + 0 90.478 * * [simplify]: Extracting #2: cost 1241 inf + 215 90.490 * * [simplify]: Extracting #3: cost 1232 inf + 5451 90.499 * * [simplify]: Extracting #4: cost 1158 inf + 14257 90.545 * * [simplify]: Extracting #5: cost 643 inf + 213569 90.683 * * [simplify]: Extracting #6: cost 28 inf + 452599 90.860 * * [simplify]: Extracting #7: cost 0 inf + 451462 91.041 * * [simplify]: Extracting #8: cost 0 inf + 451384 91.209 * [simplify]: Simplified to (* (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ U 4)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ U (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) 91.209 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (cbrt (* (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ U 4)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ U (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) 91.210 * * * * [progress]: [ 78 / 142 ] simplifiying candidate # 91.210 * [simplify]: Simplifying (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ (* (* U U) U) (* (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) (* 2 (* (cos (/ K 2)) J))))) 91.211 * * [simplify]: iters left: 6 (17 enodes) 91.221 * * [simplify]: iters left: 5 (87 enodes) 91.268 * * [simplify]: iters left: 4 (343 enodes) 91.827 * * [simplify]: Extracting #0: cost 1 inf + 0 91.827 * * [simplify]: Extracting #1: cost 233 inf + 0 91.832 * * [simplify]: Extracting #2: cost 1034 inf + 459 91.852 * * [simplify]: Extracting #3: cost 981 inf + 8158 91.863 * * [simplify]: Extracting #4: cost 963 inf + 10234 91.894 * * [simplify]: Extracting #5: cost 665 inf + 100602 92.028 * * [simplify]: Extracting #6: cost 35 inf + 335827 92.193 * * [simplify]: Extracting #7: cost 0 inf + 343092 92.314 * * [simplify]: Extracting #8: cost 0 inf + 342649 92.445 * [simplify]: Simplified to (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 92.445 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (cbrt (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) 1)) -2) (cos (/ K 2))) J)) 92.446 * * * * [progress]: [ 79 / 142 ] simplifiying candidate # 92.446 * [simplify]: Simplifying (* (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 92.446 * * [simplify]: iters left: 6 (12 enodes) 92.453 * * [simplify]: iters left: 5 (55 enodes) 92.476 * * [simplify]: iters left: 4 (179 enodes) 92.641 * * [simplify]: Extracting #0: cost 1 inf + 0 92.646 * * [simplify]: Extracting #1: cost 111 inf + 0 92.647 * * [simplify]: Extracting #2: cost 476 inf + 4 92.650 * * [simplify]: Extracting #3: cost 509 inf + 1174 92.661 * * [simplify]: Extracting #4: cost 279 inf + 68658 92.723 * * [simplify]: Extracting #5: cost 18 inf + 157912 92.769 * * [simplify]: Extracting #6: cost 0 inf + 164075 92.844 * * [simplify]: Extracting #7: cost 0 inf + 164036 92.905 * [simplify]: Simplified to (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 92.905 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (cbrt (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 1)) -2) (cos (/ K 2))) J)) 92.906 * * * * [progress]: [ 80 / 142 ] simplifiying candidate # 92.906 * * * * [progress]: [ 81 / 142 ] simplifiying candidate # 92.906 * * * * [progress]: [ 82 / 142 ] simplifiying candidate # 92.906 * * * * [progress]: [ 83 / 142 ] simplifiying candidate # 92.907 * [simplify]: Simplifying (* U U) 92.907 * * [simplify]: iters left: 2 (2 enodes) 92.908 * * [simplify]: iters left: 1 (6 enodes) 92.909 * * [simplify]: Extracting #0: cost 1 inf + 0 92.909 * * [simplify]: Extracting #1: cost 3 inf + 0 92.909 * * [simplify]: Extracting #2: cost 2 inf + 1 92.909 * * [simplify]: Extracting #3: cost 0 inf + 83 92.910 * [simplify]: Simplified to (* U U) 92.910 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (/ (* U U) (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) 92.910 * [simplify]: Simplifying (* (* 2 (* (cos (/ K 2)) J)) (* 2 (* (cos (/ K 2)) J))) 92.910 * * [simplify]: iters left: 6 (8 enodes) 92.915 * * [simplify]: iters left: 5 (36 enodes) 92.929 * * [simplify]: iters left: 4 (87 enodes) 92.970 * * [simplify]: iters left: 3 (207 enodes) 93.084 * * [simplify]: iters left: 2 (331 enodes) 93.183 * * [simplify]: iters left: 1 (343 enodes) 93.250 * * [simplify]: Extracting #0: cost 1 inf + 0 93.250 * * [simplify]: Extracting #1: cost 27 inf + 0 93.250 * * [simplify]: Extracting #2: cost 45 inf + 126 93.250 * * [simplify]: Extracting #3: cost 41 inf + 497 93.251 * * [simplify]: Extracting #4: cost 38 inf + 582 93.252 * * [simplify]: Extracting #5: cost 14 inf + 4770 93.255 * * [simplify]: Extracting #6: cost 0 inf + 7288 93.257 * * [simplify]: Extracting #7: cost 0 inf + 7248 93.260 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J)) 93.261 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (/ (* U U) (* (* (* (cos (/ K 2)) 2) J) (* (* (cos (/ K 2)) 2) J))) 1)) -2) (cos (/ K 2))) J)) 93.261 * * * * [progress]: [ 84 / 142 ] simplifiying candidate # 93.261 * * * * [progress]: [ 85 / 142 ] simplifiying candidate # 93.261 * [simplify]: Simplifying (* (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))))) 93.261 * * [simplify]: iters left: 6 (12 enodes) 93.267 * * [simplify]: iters left: 5 (46 enodes) 93.281 * * [simplify]: iters left: 4 (68 enodes) 93.293 * * [simplify]: iters left: 3 (95 enodes) 93.311 * * [simplify]: iters left: 2 (144 enodes) 93.359 * * [simplify]: iters left: 1 (288 enodes) 93.471 * * [simplify]: Extracting #0: cost 1 inf + 0 93.471 * * [simplify]: Extracting #1: cost 71 inf + 0 93.472 * * [simplify]: Extracting #2: cost 140 inf + 46 93.473 * * [simplify]: Extracting #3: cost 128 inf + 636 93.475 * * [simplify]: Extracting #4: cost 111 inf + 2561 93.477 * * [simplify]: Extracting #5: cost 99 inf + 4759 93.487 * * [simplify]: Extracting #6: cost 26 inf + 35874 93.500 * * [simplify]: Extracting #7: cost 0 inf + 49849 93.509 * [simplify]: Simplified to (* (cbrt (/ (/ (/ U J) (cos (/ K 2))) 2)) (/ (/ (/ U J) (cos (/ K 2))) 2)) 93.509 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (* (* (cbrt (/ (/ (/ U J) (cos (/ K 2))) 2)) (/ (/ (/ U J) (cos (/ K 2))) 2)) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (cos (/ K 2))) J)) 93.510 * [simplify]: Simplifying (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) 93.510 * * [simplify]: iters left: 6 (11 enodes) 93.513 * * [simplify]: iters left: 5 (39 enodes) 93.519 * * [simplify]: iters left: 4 (57 enodes) 93.532 * * [simplify]: iters left: 3 (74 enodes) 93.543 * * [simplify]: iters left: 2 (79 enodes) 93.555 * * [simplify]: Extracting #0: cost 1 inf + 0 93.555 * * [simplify]: Extracting #1: cost 3 inf + 0 93.555 * * [simplify]: Extracting #2: cost 5 inf + 0 93.555 * * [simplify]: Extracting #3: cost 16 inf + 0 93.555 * * [simplify]: Extracting #4: cost 25 inf + 3 93.555 * * [simplify]: Extracting #5: cost 28 inf + 129 93.556 * * [simplify]: Extracting #6: cost 13 inf + 1889 93.557 * * [simplify]: Extracting #7: cost 3 inf + 3901 93.559 * * [simplify]: Extracting #8: cost 0 inf + 4410 93.560 * [simplify]: Simplified to (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) 93.561 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (* (* (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))))) (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))))) 1)) -2) (cos (/ K 2))) J)) 93.561 * * * * [progress]: [ 86 / 142 ] simplifiying candidate # 93.561 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 93.561 * * [simplify]: iters left: 6 (11 enodes) 93.567 * * [simplify]: iters left: 5 (37 enodes) 93.574 * * [simplify]: iters left: 4 (56 enodes) 93.583 * * [simplify]: iters left: 3 (73 enodes) 93.592 * * [simplify]: iters left: 2 (78 enodes) 93.605 * * [simplify]: Extracting #0: cost 1 inf + 0 93.605 * * [simplify]: Extracting #1: cost 13 inf + 0 93.605 * * [simplify]: Extracting #2: cost 23 inf + 3 93.606 * * [simplify]: Extracting #3: cost 26 inf + 129 93.606 * * [simplify]: Extracting #4: cost 16 inf + 851 93.607 * * [simplify]: Extracting #5: cost 3 inf + 3053 93.608 * * [simplify]: Extracting #6: cost 0 inf + 3642 93.610 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J)) 93.610 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (cos (/ K 2))) J)) 93.610 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 93.611 * * [simplify]: iters left: 6 (11 enodes) 93.616 * * [simplify]: iters left: 5 (37 enodes) 93.629 * * [simplify]: iters left: 4 (56 enodes) 93.642 * * [simplify]: iters left: 3 (73 enodes) 93.652 * * [simplify]: iters left: 2 (78 enodes) 93.661 * * [simplify]: Extracting #0: cost 1 inf + 0 93.662 * * [simplify]: Extracting #1: cost 13 inf + 0 93.662 * * [simplify]: Extracting #2: cost 23 inf + 3 93.662 * * [simplify]: Extracting #3: cost 26 inf + 129 93.662 * * [simplify]: Extracting #4: cost 16 inf + 851 93.663 * * [simplify]: Extracting #5: cost 3 inf + 3053 93.664 * * [simplify]: Extracting #6: cost 0 inf + 3642 93.666 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J)) 93.666 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (* (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)) -2) (cos (/ K 2))) J)) 93.666 * * * * [progress]: [ 87 / 142 ] simplifiying candidate # 93.667 * [simplify]: Simplifying (* (/ (* (cbrt U) (cbrt U)) 2) (/ (* (cbrt U) (cbrt U)) 2)) 93.667 * * [simplify]: iters left: 6 (6 enodes) 93.670 * * [simplify]: iters left: 5 (24 enodes) 93.679 * * [simplify]: iters left: 4 (46 enodes) 93.688 * * [simplify]: iters left: 3 (94 enodes) 93.708 * * [simplify]: iters left: 2 (156 enodes) 93.757 * * [simplify]: iters left: 1 (177 enodes) 93.793 * * [simplify]: Extracting #0: cost 1 inf + 0 93.793 * * [simplify]: Extracting #1: cost 29 inf + 0 93.794 * * [simplify]: Extracting #2: cost 44 inf + 452 93.795 * * [simplify]: Extracting #3: cost 11 inf + 5196 93.796 * * [simplify]: Extracting #4: cost 0 inf + 6946 93.798 * [simplify]: Simplified to (/ (cbrt U) (/ 4 U)) 93.798 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (* (/ (cbrt U) (/ 4 U)) (* (/ (cbrt U) (* (cos (/ K 2)) J)) (/ (cbrt U) (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) 93.798 * [simplify]: Simplifying (* (/ (cbrt U) (* (cos (/ K 2)) J)) (/ (cbrt U) (* (cos (/ K 2)) J))) 93.798 * * [simplify]: iters left: 6 (10 enodes) 93.801 * * [simplify]: iters left: 5 (37 enodes) 93.807 * * [simplify]: iters left: 4 (67 enodes) 93.822 * * [simplify]: iters left: 3 (153 enodes) 93.879 * * [simplify]: iters left: 2 (259 enodes) 93.970 * * [simplify]: iters left: 1 (355 enodes) 94.084 * * [simplify]: Extracting #0: cost 1 inf + 0 94.084 * * [simplify]: Extracting #1: cost 36 inf + 0 94.084 * * [simplify]: Extracting #2: cost 69 inf + 1 94.085 * * [simplify]: Extracting #3: cost 67 inf + 287 94.085 * * [simplify]: Extracting #4: cost 53 inf + 1870 94.087 * * [simplify]: Extracting #5: cost 34 inf + 5949 94.093 * * [simplify]: Extracting #6: cost 5 inf + 13388 94.101 * * [simplify]: Extracting #7: cost 0 inf + 14706 94.105 * [simplify]: Simplified to (* (/ (/ (cbrt U) J) (cos (/ K 2))) (/ (/ (cbrt U) J) (cos (/ K 2)))) 94.105 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (* (/ (cbrt U) (/ 4 U)) (* (/ (/ (cbrt U) J) (cos (/ K 2))) (/ (/ (cbrt U) J) (cos (/ K 2))))) 1)) -2) (cos (/ K 2))) J)) 94.105 * * * * [progress]: [ 88 / 142 ] simplifiying candidate # 94.106 * [simplify]: Simplifying (* (/ (sqrt U) 2) (/ (sqrt U) 2)) 94.106 * * [simplify]: iters left: 5 (5 enodes) 94.107 * * [simplify]: iters left: 4 (19 enodes) 94.110 * * [simplify]: iters left: 3 (27 enodes) 94.115 * * [simplify]: iters left: 2 (34 enodes) 94.122 * * [simplify]: iters left: 1 (43 enodes) 94.128 * * [simplify]: Extracting #0: cost 1 inf + 0 94.128 * * [simplify]: Extracting #1: cost 11 inf + 0 94.129 * * [simplify]: Extracting #2: cost 14 inf + 3 94.129 * * [simplify]: Extracting #3: cost 5 inf + 539 94.129 * * [simplify]: Extracting #4: cost 1 inf + 827 94.129 * * [simplify]: Extracting #5: cost 0 inf + 909 94.129 * [simplify]: Simplified to (/ U 4) 94.130 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U 4) (* (/ (sqrt U) (* (cos (/ K 2)) J)) (/ (sqrt U) (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) 94.130 * [simplify]: Simplifying (* (/ (sqrt U) (* (cos (/ K 2)) J)) (/ (sqrt U) (* (cos (/ K 2)) J))) 94.130 * * [simplify]: iters left: 6 (10 enodes) 94.135 * * [simplify]: iters left: 5 (37 enodes) 94.147 * * [simplify]: iters left: 4 (67 enodes) 94.159 * * [simplify]: iters left: 3 (146 enodes) 94.201 * * [simplify]: iters left: 2 (243 enodes) 94.292 * * [simplify]: iters left: 1 (344 enodes) 94.411 * * [simplify]: Extracting #0: cost 1 inf + 0 94.411 * * [simplify]: Extracting #1: cost 35 inf + 0 94.412 * * [simplify]: Extracting #2: cost 62 inf + 166 94.413 * * [simplify]: Extracting #3: cost 53 inf + 1108 94.415 * * [simplify]: Extracting #4: cost 32 inf + 4488 94.418 * * [simplify]: Extracting #5: cost 2 inf + 10914 94.423 * * [simplify]: Extracting #6: cost 0 inf + 11240 94.427 * [simplify]: Simplified to (/ U (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) 94.427 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U 4) (/ U (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) 94.427 * * * * [progress]: [ 89 / 142 ] simplifiying candidate # 94.427 * [simplify]: Simplifying (* (/ 1 2) (/ 1 2)) 94.427 * * [simplify]: iters left: 4 (4 enodes) 94.431 * * [simplify]: iters left: 3 (20 enodes) 94.434 * * [simplify]: iters left: 2 (22 enodes) 94.437 * * [simplify]: Extracting #0: cost 1 inf + 0 94.437 * * [simplify]: Extracting #1: cost 0 inf + 1 94.437 * [simplify]: Simplified to 1/4 94.437 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (* 1/4 (* (/ U (* (cos (/ K 2)) J)) (/ U (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) 94.438 * [simplify]: Simplifying (* (/ U (* (cos (/ K 2)) J)) (/ U (* (cos (/ K 2)) J))) 94.438 * * [simplify]: iters left: 6 (9 enodes) 94.440 * * [simplify]: iters left: 5 (34 enodes) 94.446 * * [simplify]: iters left: 4 (64 enodes) 94.458 * * [simplify]: iters left: 3 (148 enodes) 94.498 * * [simplify]: iters left: 2 (254 enodes) 94.577 * * [simplify]: iters left: 1 (351 enodes) 94.678 * * [simplify]: Extracting #0: cost 1 inf + 0 94.678 * * [simplify]: Extracting #1: cost 36 inf + 0 94.678 * * [simplify]: Extracting #2: cost 65 inf + 43 94.679 * * [simplify]: Extracting #3: cost 56 inf + 905 94.680 * * [simplify]: Extracting #4: cost 51 inf + 992 94.681 * * [simplify]: Extracting #5: cost 34 inf + 3846 94.684 * * [simplify]: Extracting #6: cost 1 inf + 10281 94.687 * * [simplify]: Extracting #7: cost 0 inf + 10464 94.691 * [simplify]: Simplified to (* (/ (/ U J) (cos (/ K 2))) (/ (/ U J) (cos (/ K 2)))) 94.691 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (* 1/4 (* (/ (/ U J) (cos (/ K 2))) (/ (/ U J) (cos (/ K 2))))) 1)) -2) (cos (/ K 2))) J)) 94.691 * * * * [progress]: [ 90 / 142 ] simplifiying candidate # 94.691 * [simplify]: Simplifying (* 1 1) 94.691 * * [simplify]: iters left: 2 (2 enodes) 94.692 * * [simplify]: iters left: 1 (6 enodes) 94.693 * * [simplify]: Extracting #0: cost 1 inf + 0 94.693 * * [simplify]: Extracting #1: cost 0 inf + 1 94.693 * [simplify]: Simplified to 1 94.693 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (* 1 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (cos (/ K 2))) J)) 94.694 * [simplify]: Simplifying (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 94.694 * * [simplify]: iters left: 6 (10 enodes) 94.697 * * [simplify]: iters left: 5 (40 enodes) 94.704 * * [simplify]: iters left: 4 (91 enodes) 94.750 * * [simplify]: iters left: 3 (345 enodes) 95.012 * * [simplify]: Extracting #0: cost 1 inf + 0 95.012 * * [simplify]: Extracting #1: cost 119 inf + 0 95.014 * * [simplify]: Extracting #2: cost 236 inf + 45 95.017 * * [simplify]: Extracting #3: cost 207 inf + 2474 95.028 * * [simplify]: Extracting #4: cost 104 inf + 22392 95.058 * * [simplify]: Extracting #5: cost 6 inf + 45410 95.087 * * [simplify]: Extracting #6: cost 0 inf + 46788 95.116 * * [simplify]: Extracting #7: cost 0 inf + 46787 95.133 * [simplify]: Simplified to (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 95.133 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (* 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) 1)) -2) (cos (/ K 2))) J)) 95.134 * * * * [progress]: [ 91 / 142 ] simplifiying candidate # 95.134 * [simplify]: Simplifying (* U U) 95.134 * * [simplify]: iters left: 2 (2 enodes) 95.134 * * [simplify]: iters left: 1 (6 enodes) 95.135 * * [simplify]: Extracting #0: cost 1 inf + 0 95.135 * * [simplify]: Extracting #1: cost 3 inf + 0 95.135 * * [simplify]: Extracting #2: cost 2 inf + 1 95.135 * * [simplify]: Extracting #3: cost 0 inf + 83 95.135 * [simplify]: Simplified to (* U U) 95.135 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (* (* U U) (* (/ 1 (* 2 (* (cos (/ K 2)) J))) (/ 1 (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (cos (/ K 2))) J)) 95.136 * [simplify]: Simplifying (* (/ 1 (* 2 (* (cos (/ K 2)) J))) (/ 1 (* 2 (* (cos (/ K 2)) J)))) 95.136 * * [simplify]: iters left: 6 (10 enodes) 95.139 * * [simplify]: iters left: 5 (43 enodes) 95.149 * * [simplify]: iters left: 4 (82 enodes) 95.171 * * [simplify]: iters left: 3 (271 enodes) 95.384 * * [simplify]: Extracting #0: cost 1 inf + 0 95.384 * * [simplify]: Extracting #1: cost 72 inf + 0 95.388 * * [simplify]: Extracting #2: cost 165 inf + 90 95.389 * * [simplify]: Extracting #3: cost 151 inf + 1785 95.392 * * [simplify]: Extracting #4: cost 98 inf + 11781 95.400 * * [simplify]: Extracting #5: cost 3 inf + 32308 95.410 * * [simplify]: Extracting #6: cost 0 inf + 32858 95.426 * [simplify]: Simplified to (/ 1/4 (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) 95.426 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (* (* U U) (/ 1/4 (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) 95.426 * * * * [progress]: [ 92 / 142 ] simplifiying candidate # 95.426 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 95.426 * * [simplify]: iters left: 6 (11 enodes) 95.429 * * [simplify]: iters left: 5 (37 enodes) 95.435 * * [simplify]: iters left: 4 (56 enodes) 95.443 * * [simplify]: iters left: 3 (73 enodes) 95.453 * * [simplify]: iters left: 2 (78 enodes) 95.471 * * [simplify]: Extracting #0: cost 1 inf + 0 95.471 * * [simplify]: Extracting #1: cost 13 inf + 0 95.471 * * [simplify]: Extracting #2: cost 23 inf + 3 95.471 * * [simplify]: Extracting #3: cost 26 inf + 129 95.472 * * [simplify]: Extracting #4: cost 16 inf + 851 95.473 * * [simplify]: Extracting #5: cost 3 inf + 3053 95.474 * * [simplify]: Extracting #6: cost 0 inf + 3642 95.476 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J)) 95.476 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (cos (/ K 2))) J)) 95.476 * [simplify]: Simplifying (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) 95.477 * * [simplify]: iters left: 6 (11 enodes) 95.484 * * [simplify]: iters left: 5 (37 enodes) 95.496 * * [simplify]: iters left: 4 (56 enodes) 95.512 * * [simplify]: iters left: 3 (73 enodes) 95.531 * * [simplify]: iters left: 2 (78 enodes) 95.550 * * [simplify]: Extracting #0: cost 1 inf + 0 95.550 * * [simplify]: Extracting #1: cost 13 inf + 0 95.550 * * [simplify]: Extracting #2: cost 23 inf + 3 95.551 * * [simplify]: Extracting #3: cost 26 inf + 129 95.551 * * [simplify]: Extracting #4: cost 16 inf + 851 95.552 * * [simplify]: Extracting #5: cost 3 inf + 3053 95.553 * * [simplify]: Extracting #6: cost 0 inf + 3642 95.555 * [simplify]: Simplified to (/ (/ U 2) (* (cos (/ K 2)) J)) 95.555 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (* (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) (/ (/ U 2) (* (cos (/ K 2)) J))) 1)) -2) (cos (/ K 2))) J)) 95.555 * * * * [progress]: [ 93 / 142 ] simplifiying candidate # 95.556 * [simplify]: Simplifying (/ U (* 2 (* (cos (/ K 2)) J))) 95.556 * * [simplify]: iters left: 6 (9 enodes) 95.560 * * [simplify]: iters left: 5 (33 enodes) 95.571 * * [simplify]: iters left: 4 (51 enodes) 95.586 * * [simplify]: iters left: 3 (68 enodes) 95.597 * * [simplify]: iters left: 2 (73 enodes) 95.606 * * [simplify]: Extracting #0: cost 1 inf + 0 95.606 * * [simplify]: Extracting #1: cost 12 inf + 0 95.606 * * [simplify]: Extracting #2: cost 21 inf + 3 95.607 * * [simplify]: Extracting #3: cost 21 inf + 337 95.607 * * [simplify]: Extracting #4: cost 12 inf + 1158 95.607 * * [simplify]: Extracting #5: cost 0 inf + 3114 95.608 * [simplify]: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) 95.608 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (pow (/ (/ U (* J 2)) (cos (/ K 2))) (* 2 1)) 1)) -2) (cos (/ K 2))) J)) 95.608 * [simplify]: Simplifying (* 2 1) 95.608 * * [simplify]: iters left: 2 (3 enodes) 95.610 * * [simplify]: iters left: 1 (9 enodes) 95.611 * * [simplify]: Extracting #0: cost 1 inf + 0 95.611 * * [simplify]: Extracting #1: cost 0 inf + 1 95.611 * [simplify]: Simplified to 2 95.611 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (pow (/ U (* 2 (* (cos (/ K 2)) J))) 2) 1)) -2) (cos (/ K 2))) J)) 95.611 * * * * [progress]: [ 94 / 142 ] simplifiying candidate # 95.612 * [simplify]: Simplifying (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) 95.612 * * [simplify]: iters left: 6 (10 enodes) 95.615 * * [simplify]: iters left: 5 (36 enodes) 95.623 * * [simplify]: iters left: 4 (54 enodes) 95.637 * * [simplify]: iters left: 3 (71 enodes) 95.646 * * [simplify]: iters left: 2 (76 enodes) 95.656 * * [simplify]: Extracting #0: cost 1 inf + 0 95.656 * * [simplify]: Extracting #1: cost 3 inf + 0 95.656 * * [simplify]: Extracting #2: cost 14 inf + 0 95.656 * * [simplify]: Extracting #3: cost 23 inf + 3 95.656 * * [simplify]: Extracting #4: cost 24 inf + 295 95.657 * * [simplify]: Extracting #5: cost 9 inf + 2499 95.657 * * [simplify]: Extracting #6: cost 0 inf + 3722 95.658 * [simplify]: Simplified to (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) 95.658 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) 1)) -2) (cos (/ K 2))) J)) 95.658 * * * * [progress]: [ 95 / 142 ] simplifiying candidate # 95.658 * [simplify]: Simplifying (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) 95.659 * * [simplify]: iters left: 6 (10 enodes) 95.661 * * [simplify]: iters left: 5 (36 enodes) 95.672 * * [simplify]: iters left: 4 (54 enodes) 95.683 * * [simplify]: iters left: 3 (71 enodes) 95.693 * * [simplify]: iters left: 2 (76 enodes) 95.702 * * [simplify]: Extracting #0: cost 1 inf + 0 95.702 * * [simplify]: Extracting #1: cost 3 inf + 0 95.702 * * [simplify]: Extracting #2: cost 14 inf + 0 95.702 * * [simplify]: Extracting #3: cost 23 inf + 3 95.702 * * [simplify]: Extracting #4: cost 24 inf + 295 95.703 * * [simplify]: Extracting #5: cost 9 inf + 2419 95.704 * * [simplify]: Extracting #6: cost 0 inf + 3642 95.704 * [simplify]: Simplified to (sqrt (/ (/ U (* J 2)) (cos (/ K 2)))) 95.704 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (sqrt (/ U (* 2 (* (cos (/ K 2)) J))))) (sqrt (/ (/ U (* J 2)) (cos (/ K 2))))) 1)) -2) (cos (/ K 2))) J)) 95.704 * * * * [progress]: [ 96 / 142 ] simplifiying candidate # 95.705 * [simplify]: Simplifying (/ (cbrt U) (* (cos (/ K 2)) J)) 95.705 * * [simplify]: iters left: 6 (9 enodes) 95.708 * * [simplify]: iters left: 5 (30 enodes) 95.718 * * [simplify]: iters left: 4 (34 enodes) 95.728 * * [simplify]: iters left: 3 (36 enodes) 95.738 * * [simplify]: Extracting #0: cost 1 inf + 0 95.738 * * [simplify]: Extracting #1: cost 8 inf + 0 95.738 * * [simplify]: Extracting #2: cost 14 inf + 1 95.738 * * [simplify]: Extracting #3: cost 16 inf + 2 95.738 * * [simplify]: Extracting #4: cost 11 inf + 288 95.739 * * [simplify]: Extracting #5: cost 5 inf + 962 95.739 * * [simplify]: Extracting #6: cost 0 inf + 1958 95.740 * [simplify]: Simplified to (/ (/ (cbrt U) (cos (/ K 2))) J) 95.740 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ (* (cbrt U) (cbrt U)) 2)) (/ (/ (cbrt U) (cos (/ K 2))) J)) 1)) -2) (cos (/ K 2))) J)) 95.740 * * * * [progress]: [ 97 / 142 ] simplifiying candidate # 95.740 * [simplify]: Simplifying (/ (sqrt U) (* (cos (/ K 2)) J)) 95.741 * * [simplify]: iters left: 6 (9 enodes) 95.745 * * [simplify]: iters left: 5 (30 enodes) 95.754 * * [simplify]: iters left: 4 (34 enodes) 95.764 * * [simplify]: iters left: 3 (36 enodes) 95.774 * * [simplify]: Extracting #0: cost 1 inf + 0 95.774 * * [simplify]: Extracting #1: cost 8 inf + 0 95.775 * * [simplify]: Extracting #2: cost 14 inf + 1 95.775 * * [simplify]: Extracting #3: cost 16 inf + 2 95.775 * * [simplify]: Extracting #4: cost 11 inf + 168 95.775 * * [simplify]: Extracting #5: cost 5 inf + 762 95.776 * * [simplify]: Extracting #6: cost 0 inf + 1638 95.776 * [simplify]: Simplified to (/ (/ (sqrt U) (cos (/ K 2))) J) 95.776 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ (sqrt U) 2)) (/ (/ (sqrt U) (cos (/ K 2))) J)) 1)) -2) (cos (/ K 2))) J)) 95.776 * * * * [progress]: [ 98 / 142 ] simplifiying candidate # 95.777 * [simplify]: Simplifying (/ U (* (cos (/ K 2)) J)) 95.777 * * [simplify]: iters left: 6 (8 enodes) 95.781 * * [simplify]: iters left: 5 (27 enodes) 95.789 * * [simplify]: iters left: 4 (31 enodes) 95.798 * * [simplify]: iters left: 3 (33 enodes) 95.808 * * [simplify]: Extracting #0: cost 1 inf + 0 95.808 * * [simplify]: Extracting #1: cost 8 inf + 0 95.808 * * [simplify]: Extracting #2: cost 11 inf + 2 95.808 * * [simplify]: Extracting #3: cost 12 inf + 86 95.808 * * [simplify]: Extracting #4: cost 9 inf + 130 95.809 * * [simplify]: Extracting #5: cost 1 inf + 1132 95.809 * * [simplify]: Extracting #6: cost 0 inf + 1316 95.810 * [simplify]: Simplified to (/ (/ U J) (cos (/ K 2))) 95.810 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ 1 2)) (/ (/ U J) (cos (/ K 2)))) 1)) -2) (cos (/ K 2))) J)) 95.810 * * * * [progress]: [ 99 / 142 ] simplifiying candidate # 95.810 * [simplify]: Simplifying (/ U (* 2 (* (cos (/ K 2)) J))) 95.810 * * [simplify]: iters left: 6 (9 enodes) 95.813 * * [simplify]: iters left: 5 (33 enodes) 95.818 * * [simplify]: iters left: 4 (51 enodes) 95.826 * * [simplify]: iters left: 3 (68 enodes) 95.835 * * [simplify]: iters left: 2 (73 enodes) 95.848 * * [simplify]: Extracting #0: cost 1 inf + 0 95.848 * * [simplify]: Extracting #1: cost 12 inf + 0 95.848 * * [simplify]: Extracting #2: cost 21 inf + 3 95.849 * * [simplify]: Extracting #3: cost 21 inf + 337 95.849 * * [simplify]: Extracting #4: cost 12 inf + 1158 95.850 * * [simplify]: Extracting #5: cost 0 inf + 3114 95.851 * [simplify]: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) 95.851 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) 1) (/ (/ U (* J 2)) (cos (/ K 2)))) 1)) -2) (cos (/ K 2))) J)) 95.852 * * * * [progress]: [ 100 / 142 ] simplifiying candidate # 95.852 * [simplify]: Simplifying (/ 1 (* 2 (* (cos (/ K 2)) J))) 95.852 * * [simplify]: iters left: 6 (9 enodes) 95.858 * * [simplify]: iters left: 5 (36 enodes) 95.869 * * [simplify]: iters left: 4 (56 enodes) 95.877 * * [simplify]: iters left: 3 (72 enodes) 95.887 * * [simplify]: iters left: 2 (76 enodes) 95.899 * * [simplify]: Extracting #0: cost 1 inf + 0 95.899 * * [simplify]: Extracting #1: cost 12 inf + 0 95.899 * * [simplify]: Extracting #2: cost 18 inf + 46 95.900 * * [simplify]: Extracting #3: cost 21 inf + 172 95.900 * * [simplify]: Extracting #4: cost 12 inf + 1055 95.901 * * [simplify]: Extracting #5: cost 2 inf + 2464 95.902 * * [simplify]: Extracting #6: cost 0 inf + 2789 95.903 * [simplify]: Simplified to (/ (/ 1/2 J) (cos (/ K 2))) 95.903 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (/ (/ 1/2 J) (cos (/ K 2)))) 1)) -2) (cos (/ K 2))) J)) 95.903 * * * * [progress]: [ 101 / 142 ] simplifiying candidate # 95.904 * [simplify]: Simplifying (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (cbrt (/ U (* 2 (* (cos (/ K 2)) J))))) 95.904 * * [simplify]: iters left: 6 (11 enodes) 95.909 * * [simplify]: iters left: 5 (39 enodes) 95.921 * * [simplify]: iters left: 4 (57 enodes) 95.938 * * [simplify]: iters left: 3 (74 enodes) 95.958 * * [simplify]: iters left: 2 (79 enodes) 95.979 * * [simplify]: Extracting #0: cost 1 inf + 0 95.979 * * [simplify]: Extracting #1: cost 3 inf + 0 95.979 * * [simplify]: Extracting #2: cost 5 inf + 0 95.979 * * [simplify]: Extracting #3: cost 16 inf + 0 95.979 * * [simplify]: Extracting #4: cost 25 inf + 3 95.980 * * [simplify]: Extracting #5: cost 28 inf + 129 95.980 * * [simplify]: Extracting #6: cost 13 inf + 1889 95.981 * * [simplify]: Extracting #7: cost 3 inf + 3901 95.982 * * [simplify]: Extracting #8: cost 0 inf + 4410 95.983 * [simplify]: Simplified to (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) 95.983 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (* (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) (* (cbrt (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (cos (/ K 2))) J)) 95.984 * * * * [progress]: [ 102 / 142 ] simplifiying candidate # 95.984 * [simplify]: Simplifying (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) 95.984 * * [simplify]: iters left: 6 (10 enodes) 95.986 * * [simplify]: iters left: 5 (36 enodes) 95.992 * * [simplify]: iters left: 4 (54 enodes) 96.000 * * [simplify]: iters left: 3 (71 enodes) 96.010 * * [simplify]: iters left: 2 (76 enodes) 96.020 * * [simplify]: Extracting #0: cost 1 inf + 0 96.020 * * [simplify]: Extracting #1: cost 3 inf + 0 96.020 * * [simplify]: Extracting #2: cost 14 inf + 0 96.020 * * [simplify]: Extracting #3: cost 23 inf + 3 96.020 * * [simplify]: Extracting #4: cost 24 inf + 295 96.021 * * [simplify]: Extracting #5: cost 9 inf + 2419 96.021 * * [simplify]: Extracting #6: cost 0 inf + 3642 96.022 * [simplify]: Simplified to (sqrt (/ (/ U (* J 2)) (cos (/ K 2)))) 96.022 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (* (sqrt (/ (/ U (* J 2)) (cos (/ K 2)))) (* (sqrt (/ U (* 2 (* (cos (/ K 2)) J)))) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (cos (/ K 2))) J)) 96.022 * * * * [progress]: [ 103 / 142 ] simplifiying candidate # 96.023 * [simplify]: Simplifying (/ (* (cbrt U) (cbrt U)) 2) 96.023 * * [simplify]: iters left: 5 (5 enodes) 96.024 * * [simplify]: iters left: 4 (17 enodes) 96.027 * * [simplify]: iters left: 3 (21 enodes) 96.030 * * [simplify]: iters left: 2 (24 enodes) 96.034 * * [simplify]: Extracting #0: cost 1 inf + 0 96.034 * * [simplify]: Extracting #1: cost 7 inf + 0 96.034 * * [simplify]: Extracting #2: cost 11 inf + 1 96.034 * * [simplify]: Extracting #3: cost 10 inf + 2 96.035 * * [simplify]: Extracting #4: cost 0 inf + 1218 96.035 * [simplify]: Simplified to (/ (* (cbrt U) (cbrt U)) 2) 96.035 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (* (/ (* (cbrt U) (cbrt U)) 2) (* (/ (cbrt U) (* (cos (/ K 2)) J)) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (cos (/ K 2))) J)) 96.035 * * * * [progress]: [ 104 / 142 ] simplifiying candidate # 96.035 * [simplify]: Simplifying (/ (sqrt U) 2) 96.035 * * [simplify]: iters left: 3 (4 enodes) 96.036 * * [simplify]: iters left: 2 (12 enodes) 96.038 * * [simplify]: Extracting #0: cost 1 inf + 0 96.038 * * [simplify]: Extracting #1: cost 4 inf + 0 96.038 * * [simplify]: Extracting #2: cost 5 inf + 1 96.038 * * [simplify]: Extracting #3: cost 4 inf + 2 96.038 * * [simplify]: Extracting #4: cost 0 inf + 248 96.038 * [simplify]: Simplified to (/ (sqrt U) 2) 96.039 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (* (/ (sqrt U) 2) (* (/ (sqrt U) (* (cos (/ K 2)) J)) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (cos (/ K 2))) J)) 96.039 * * * * [progress]: [ 105 / 142 ] simplifiying candidate # 96.039 * [simplify]: Simplifying (/ 1 2) 96.039 * * [simplify]: iters left: 2 (3 enodes) 96.041 * * [simplify]: iters left: 1 (12 enodes) 96.043 * * [simplify]: Extracting #0: cost 1 inf + 0 96.043 * * [simplify]: Extracting #1: cost 0 inf + 1 96.043 * [simplify]: Simplified to 1/2 96.043 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (* 1/2 (* (/ U (* (cos (/ K 2)) J)) (/ U (* 2 (* (cos (/ K 2)) J))))) 1)) -2) (cos (/ K 2))) J)) 96.043 * * * * [progress]: [ 106 / 142 ] simplifiying candidate # 96.043 * * * * [progress]: [ 107 / 142 ] simplifiying candidate # 96.044 * * * * [progress]: [ 108 / 142 ] simplifiying candidate # 96.044 * [simplify]: Simplifying (* 2 (* (cos (/ K 2)) J)) 96.044 * * [simplify]: iters left: 6 (7 enodes) 96.046 * * [simplify]: iters left: 5 (25 enodes) 96.050 * * [simplify]: iters left: 4 (33 enodes) 96.055 * * [simplify]: iters left: 3 (39 enodes) 96.062 * * [simplify]: Extracting #0: cost 1 inf + 0 96.062 * * [simplify]: Extracting #1: cost 8 inf + 0 96.062 * * [simplify]: Extracting #2: cost 11 inf + 2 96.062 * * [simplify]: Extracting #3: cost 12 inf + 44 96.062 * * [simplify]: Extracting #4: cost 10 inf + 87 96.062 * * [simplify]: Extracting #5: cost 4 inf + 660 96.063 * * [simplify]: Extracting #6: cost 1 inf + 1128 96.063 * * [simplify]: Extracting #7: cost 0 inf + 1311 96.063 * [simplify]: Simplified to (* (cos (/ K 2)) (* J 2)) 96.063 * [simplify]: Simplified (2 1 1 1 1 1 2) to (λ (J K U) (* (* (* (sqrt (+ (/ (* (/ U (* 2 (* (cos (/ K 2)) J))) U) (* (cos (/ K 2)) (* J 2))) 1)) -2) (cos (/ K 2))) J)) 96.063 * * * * [progress]: [ 109 / 142 ] simplifiying candidate # 96.064 * [simplify]: Simplifying (* U (/ U (* 2 (* (cos (/ K 2)) J)))) 96.064 * * [simplify]: iters left: 6 (10 enodes) 96.067 * * [simplify]: iters left: 5 (39 enodes) 96.073 * * [simplify]: iters left: 4 (75 enodes) 96.087 * * [simplify]: iters left: 3 (155 enodes) 96.114 * * [simplify]: iters left: 2 (223 enodes) 96.166 * * [simplify]: iters left: 1 (275 enodes) 96.248 * * [simplify]: Extracting #0: cost 1 inf + 0 96.249 * * [simplify]: Extracting #1: cost 34 inf + 0 96.249 * * [simplify]: Extracting #2: cost 56 inf + 128 96.249 * * [simplify]: Extracting #3: cost 42 inf + 1204 96.251 * * [simplify]: Extracting #4: cost 19 inf + 4613 96.253 * * [simplify]: Extracting #5: cost 0 inf + 8215 96.255 * [simplify]: Simplified to (/ (/ U (cos (/ K 2))) (* (/ 2 U) J)) 96.255 * [simplify]: Simplified (2 1 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (/ (/ (/ U (cos (/ K 2))) (* (/ 2 U) J)) (* 2 (* (cos (/ K 2)) J))) 1)) -2) (cos (/ K 2))) J)) 96.255 * * * * [progress]: [ 110 / 142 ] simplifiying candidate #real (real->posit16 (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))))) 1)) -2) (cos (/ K 2))) J))> 96.255 * * * * [progress]: [ 111 / 142 ] simplifiying candidate # 96.256 * * * * [progress]: [ 112 / 142 ] simplifiying candidate # 96.256 * [simplify]: Simplifying (* (cos (/ K 2)) J) 96.256 * * [simplify]: iters left: 5 (6 enodes) 96.258 * * [simplify]: iters left: 4 (19 enodes) 96.261 * * [simplify]: Extracting #0: cost 1 inf + 0 96.261 * * [simplify]: Extracting #1: cost 4 inf + 0 96.261 * * [simplify]: Extracting #2: cost 5 inf + 1 96.261 * * [simplify]: Extracting #3: cost 8 inf + 1 96.261 * * [simplify]: Extracting #4: cost 6 inf + 3 96.261 * * [simplify]: Extracting #5: cost 0 inf + 577 96.261 * [simplify]: Simplified to (* (cos (/ K 2)) J) 96.261 * [simplify]: Simplified (2 1 1 1 1 1 2 2 2 1) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (pow (* (cos (/ K 2)) J) 1)))) 1)) -2) (cos (/ K 2))) J)) 96.261 * * * * [progress]: [ 113 / 142 ] simplifiying candidate # 96.261 * * * * [progress]: [ 114 / 142 ] simplifiying candidate # 96.262 * [simplify]: Simplifying (+ (log (cos (/ K 2))) (log J)) 96.262 * * [simplify]: iters left: 6 (8 enodes) 96.264 * * [simplify]: iters left: 5 (25 enodes) 96.268 * * [simplify]: Extracting #0: cost 1 inf + 0 96.268 * * [simplify]: Extracting #1: cost 4 inf + 0 96.268 * * [simplify]: Extracting #2: cost 8 inf + 0 96.268 * * [simplify]: Extracting #3: cost 8 inf + 72 96.268 * * [simplify]: Extracting #4: cost 10 inf + 143 96.268 * * [simplify]: Extracting #5: cost 8 inf + 145 96.269 * * [simplify]: Extracting #6: cost 5 inf + 331 96.269 * * [simplify]: Extracting #7: cost 1 inf + 1060 96.269 * * [simplify]: Extracting #8: cost 0 inf + 1343 96.269 * [simplify]: Simplified to (+ (log J) (log (cos (/ K 2)))) 96.269 * [simplify]: Simplified (2 1 1 1 1 1 2 2 2 1) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (exp (+ (log J) (log (cos (/ K 2)))))))) 1)) -2) (cos (/ K 2))) J)) 96.269 * * * * [progress]: [ 115 / 142 ] simplifiying candidate # 96.269 * * * * [progress]: [ 116 / 142 ] simplifiying candidate # 96.269 * * * * [progress]: [ 117 / 142 ] simplifiying candidate # 96.270 * [simplify]: Simplifying (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) J)) 96.270 * * [simplify]: iters left: 6 (10 enodes) 96.272 * * [simplify]: iters left: 5 (37 enodes) 96.280 * * [simplify]: iters left: 4 (66 enodes) 96.306 * * [simplify]: iters left: 3 (125 enodes) 96.357 * * [simplify]: iters left: 2 (196 enodes) 96.443 * * [simplify]: iters left: 1 (353 enodes) 96.592 * * [simplify]: Extracting #0: cost 1 inf + 0 96.592 * * [simplify]: Extracting #1: cost 51 inf + 0 96.593 * * [simplify]: Extracting #2: cost 146 inf + 124 96.595 * * [simplify]: Extracting #3: cost 153 inf + 460 96.597 * * [simplify]: Extracting #4: cost 133 inf + 4920 96.606 * * [simplify]: Extracting #5: cost 45 inf + 43385 96.622 * * [simplify]: Extracting #6: cost 4 inf + 66357 96.634 * * [simplify]: Extracting #7: cost 0 inf + 69278 96.643 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) 96.643 * [simplify]: Simplified (2 1 1 1 1 1 2 2 2 1) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (cbrt (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))))) 1)) -2) (cos (/ K 2))) J)) 96.643 * * * * [progress]: [ 118 / 142 ] simplifiying candidate # 96.643 * * * * [progress]: [ 119 / 142 ] simplifiying candidate # 96.643 * * * * [progress]: [ 120 / 142 ] simplifiying candidate # 96.643 * * * * [progress]: [ 121 / 142 ] simplifiying candidate # 96.643 * * * * [progress]: [ 122 / 142 ] simplifiying candidate # 96.643 * [simplify]: Simplifying (* (sqrt (cos (/ K 2))) (sqrt J)) 96.643 * * [simplify]: iters left: 6 (8 enodes) 96.646 * * [simplify]: iters left: 5 (25 enodes) 96.649 * * [simplify]: Extracting #0: cost 1 inf + 0 96.649 * * [simplify]: Extracting #1: cost 4 inf + 0 96.649 * * [simplify]: Extracting #2: cost 8 inf + 0 96.649 * * [simplify]: Extracting #3: cost 8 inf + 42 96.650 * * [simplify]: Extracting #4: cost 10 inf + 83 96.650 * * [simplify]: Extracting #5: cost 8 inf + 85 96.650 * * [simplify]: Extracting #6: cost 5 inf + 271 96.650 * * [simplify]: Extracting #7: cost 1 inf + 880 96.650 * * [simplify]: Extracting #8: cost 0 inf + 1103 96.650 * [simplify]: Simplified to (* (sqrt J) (sqrt (cos (/ K 2)))) 96.650 * [simplify]: Simplified (2 1 1 1 1 1 2 2 2 1) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (* (sqrt J) (sqrt (cos (/ K 2)))) (* (sqrt (cos (/ K 2))) (sqrt J)))))) 1)) -2) (cos (/ K 2))) J)) 96.651 * [simplify]: Simplifying (* (sqrt (cos (/ K 2))) (sqrt J)) 96.651 * * [simplify]: iters left: 6 (8 enodes) 96.653 * * [simplify]: iters left: 5 (25 enodes) 96.659 * * [simplify]: Extracting #0: cost 1 inf + 0 96.659 * * [simplify]: Extracting #1: cost 4 inf + 0 96.659 * * [simplify]: Extracting #2: cost 8 inf + 0 96.659 * * [simplify]: Extracting #3: cost 8 inf + 42 96.659 * * [simplify]: Extracting #4: cost 10 inf + 83 96.659 * * [simplify]: Extracting #5: cost 8 inf + 85 96.659 * * [simplify]: Extracting #6: cost 5 inf + 271 96.660 * * [simplify]: Extracting #7: cost 1 inf + 880 96.660 * * [simplify]: Extracting #8: cost 0 inf + 1103 96.660 * [simplify]: Simplified to (* (sqrt J) (sqrt (cos (/ K 2)))) 96.660 * [simplify]: Simplified (2 1 1 1 1 1 2 2 2 2) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (* (sqrt (cos (/ K 2))) (sqrt J)) (* (sqrt J) (sqrt (cos (/ K 2)))))))) 1)) -2) (cos (/ K 2))) J)) 96.661 * * * * [progress]: [ 123 / 142 ] simplifiying candidate # 96.661 * [simplify]: Simplifying (cbrt J) 96.661 * * [simplify]: iters left: 1 (2 enodes) 96.662 * * [simplify]: Extracting #0: cost 1 inf + 0 96.662 * * [simplify]: Extracting #1: cost 3 inf + 0 96.662 * * [simplify]: Extracting #2: cost 2 inf + 1 96.662 * * [simplify]: Extracting #3: cost 0 inf + 163 96.662 * [simplify]: Simplified to (cbrt J) 96.662 * [simplify]: Simplified (2 1 1 1 1 1 2 2 2 2) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (* (cos (/ K 2)) (* (cbrt J) (cbrt J))) (cbrt J))))) 1)) -2) (cos (/ K 2))) J)) 96.662 * * * * [progress]: [ 124 / 142 ] simplifiying candidate # 96.663 * [simplify]: Simplifying (sqrt J) 96.663 * * [simplify]: iters left: 1 (2 enodes) 96.664 * * [simplify]: Extracting #0: cost 1 inf + 0 96.664 * * [simplify]: Extracting #1: cost 3 inf + 0 96.664 * * [simplify]: Extracting #2: cost 2 inf + 1 96.664 * * [simplify]: Extracting #3: cost 0 inf + 83 96.664 * [simplify]: Simplified to (sqrt J) 96.664 * [simplify]: Simplified (2 1 1 1 1 1 2 2 2 2) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (* (cos (/ K 2)) (sqrt J)) (sqrt J))))) 1)) -2) (cos (/ K 2))) J)) 96.664 * * * * [progress]: [ 125 / 142 ] simplifiying candidate # 96.664 * * * * [progress]: [ 126 / 142 ] simplifiying candidate # 96.665 * [simplify]: Simplifying (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) 96.665 * * [simplify]: iters left: 6 (6 enodes) 96.668 * * [simplify]: iters left: 5 (18 enodes) 96.674 * * [simplify]: Extracting #0: cost 1 inf + 0 96.674 * * [simplify]: Extracting #1: cost 3 inf + 0 96.674 * * [simplify]: Extracting #2: cost 5 inf + 0 96.674 * * [simplify]: Extracting #3: cost 7 inf + 0 96.674 * * [simplify]: Extracting #4: cost 10 inf + 0 96.674 * * [simplify]: Extracting #5: cost 8 inf + 2 96.674 * * [simplify]: Extracting #6: cost 0 inf + 1098 96.674 * [simplify]: Simplified to (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) 96.675 * [simplify]: Simplified (2 1 1 1 1 1 2 2 2 1) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J))))) 1)) -2) (cos (/ K 2))) J)) 96.675 * * * * [progress]: [ 127 / 142 ] simplifiying candidate # 96.675 * [simplify]: Simplifying (sqrt (cos (/ K 2))) 96.675 * * [simplify]: iters left: 4 (5 enodes) 96.678 * * [simplify]: iters left: 3 (15 enodes) 96.686 * * [simplify]: Extracting #0: cost 1 inf + 0 96.686 * * [simplify]: Extracting #1: cost 3 inf + 0 96.686 * * [simplify]: Extracting #2: cost 5 inf + 0 96.686 * * [simplify]: Extracting #3: cost 8 inf + 0 96.686 * * [simplify]: Extracting #4: cost 6 inf + 2 96.686 * * [simplify]: Extracting #5: cost 0 inf + 574 96.686 * [simplify]: Simplified to (sqrt (cos (/ K 2))) 96.686 * [simplify]: Simplified (2 1 1 1 1 1 2 2 2 1) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (sqrt (cos (/ K 2))) (* (sqrt (cos (/ K 2))) J))))) 1)) -2) (cos (/ K 2))) J)) 96.687 * * * * [progress]: [ 128 / 142 ] simplifiying candidate # 96.687 * * * * [progress]: [ 129 / 142 ] simplifiying candidate #real (real->posit16 (* (cos (/ K 2)) J)))))) 1)) -2) (cos (/ K 2))) J))> 96.687 * * * * [progress]: [ 130 / 142 ] simplifiying candidate # 96.687 * * * * [progress]: [ 131 / 142 ] simplifiying candidate # 96.687 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 96.687 * * [simplify]: iters left: 6 (10 enodes) 96.694 * * [simplify]: iters left: 5 (43 enodes) 96.709 * * [simplify]: iters left: 4 (79 enodes) 96.733 * * [simplify]: iters left: 3 (118 enodes) 96.767 * * [simplify]: iters left: 2 (171 enodes) 96.799 * * [simplify]: iters left: 1 (242 enodes) 96.885 * * [simplify]: Extracting #0: cost 1 inf + 0 96.886 * * [simplify]: Extracting #1: cost 6 inf + 0 96.886 * * [simplify]: Extracting #2: cost 41 inf + 0 96.886 * * [simplify]: Extracting #3: cost 56 inf + 213 96.888 * * [simplify]: Extracting #4: cost 20 inf + 2732 96.891 * * [simplify]: Extracting #5: cost 1 inf + 4576 96.894 * * [simplify]: Extracting #6: cost 0 inf + 4698 96.896 * [simplify]: Simplified to (- (* -2 J) (/ (* U U) (/ J 1/4))) 96.897 * [simplify]: Simplified (2) to (λ (J K U) (- (* -2 J) (/ (* U U) (/ J 1/4)))) 96.897 * * * * [progress]: [ 132 / 142 ] simplifiying candidate # 96.897 * [simplify]: Simplifying (* -1 U) 96.897 * * [simplify]: iters left: 2 (3 enodes) 96.899 * * [simplify]: iters left: 1 (11 enodes) 96.902 * * [simplify]: Extracting #0: cost 1 inf + 0 96.902 * * [simplify]: Extracting #1: cost 4 inf + 0 96.903 * * [simplify]: Extracting #2: cost 0 inf + 84 96.903 * [simplify]: Simplified to (- U) 96.903 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 96.903 * * * * [progress]: [ 133 / 142 ] simplifiying candidate # 96.903 * [simplify]: Simplifying (* -1 U) 96.903 * * [simplify]: iters left: 2 (3 enodes) 96.904 * * [simplify]: iters left: 1 (11 enodes) 96.906 * * [simplify]: Extracting #0: cost 1 inf + 0 96.906 * * [simplify]: Extracting #1: cost 4 inf + 0 96.906 * * [simplify]: Extracting #2: cost 0 inf + 84 96.906 * [simplify]: Simplified to (- U) 96.906 * [simplify]: Simplified (2) to (λ (J K U) (- U)) 96.906 * * * * [progress]: [ 134 / 142 ] simplifiying candidate # 96.906 * [simplify]: Simplifying 1 96.906 * * [simplify]: iters left: 0 (1 enodes) 96.907 * * [simplify]: Extracting #0: cost 1 inf + 0 96.907 * * [simplify]: Extracting #1: cost 0 inf + 1 96.907 * [simplify]: Simplified to 1 96.907 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* 1 -2) (cos (/ K 2))) J)) 96.907 * * * * [progress]: [ 135 / 142 ] simplifiying candidate # 96.907 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 96.907 * * [simplify]: iters left: 6 (9 enodes) 96.909 * * [simplify]: iters left: 5 (34 enodes) 96.915 * * [simplify]: iters left: 4 (56 enodes) 96.925 * * [simplify]: iters left: 3 (90 enodes) 96.947 * * [simplify]: iters left: 2 (114 enodes) 96.978 * * [simplify]: iters left: 1 (131 enodes) 97.015 * * [simplify]: Extracting #0: cost 1 inf + 0 97.015 * * [simplify]: Extracting #1: cost 22 inf + 0 97.015 * * [simplify]: Extracting #2: cost 37 inf + 3 97.016 * * [simplify]: Extracting #3: cost 31 inf + 380 97.017 * * [simplify]: Extracting #4: cost 17 inf + 1834 97.019 * * [simplify]: Extracting #5: cost 3 inf + 4117 97.021 * * [simplify]: Extracting #6: cost 0 inf + 4586 97.023 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 97.023 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (cos (/ K 2))) J)) 97.023 * * * * [progress]: [ 136 / 142 ] simplifiying candidate # 97.023 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 97.024 * * [simplify]: iters left: 6 (9 enodes) 97.028 * * [simplify]: iters left: 5 (34 enodes) 97.039 * * [simplify]: iters left: 4 (56 enodes) 97.059 * * [simplify]: iters left: 3 (90 enodes) 97.085 * * [simplify]: iters left: 2 (114 enodes) 97.115 * * [simplify]: iters left: 1 (131 enodes) 97.134 * * [simplify]: Extracting #0: cost 1 inf + 0 97.134 * * [simplify]: Extracting #1: cost 22 inf + 0 97.134 * * [simplify]: Extracting #2: cost 37 inf + 3 97.134 * * [simplify]: Extracting #3: cost 31 inf + 380 97.135 * * [simplify]: Extracting #4: cost 17 inf + 1834 97.136 * * [simplify]: Extracting #5: cost 3 inf + 4117 97.137 * * [simplify]: Extracting #6: cost 0 inf + 4586 97.138 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 97.138 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (cos (/ K 2))) J)) 97.138 * * * * [progress]: [ 137 / 142 ] simplifiying candidate # 97.138 * [simplify]: Simplifying (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (* (pow K 4) (pow U 2)) (pow J 2))))) 97.138 * * [simplify]: iters left: 6 (22 enodes) 97.146 * * [simplify]: iters left: 5 (98 enodes) 97.181 * * [simplify]: iters left: 4 (205 enodes) 97.249 * * [simplify]: Extracting #0: cost 1 inf + 0 97.249 * * [simplify]: Extracting #1: cost 8 inf + 0 97.250 * * [simplify]: Extracting #2: cost 99 inf + 0 97.251 * * [simplify]: Extracting #3: cost 194 inf + 251 97.256 * * [simplify]: Extracting #4: cost 104 inf + 10603 97.271 * * [simplify]: Extracting #5: cost 8 inf + 24728 97.285 * * [simplify]: Extracting #6: cost 0 inf + 25715 97.298 * * [simplify]: Extracting #7: cost 0 inf + 25355 97.310 * * [simplify]: Extracting #8: cost 0 inf + 25315 97.323 * [simplify]: Simplified to (+ (+ (* 1/96 (* (/ (* K K) (/ J U)) (/ (* K K) (/ J U)))) (* (* 1/4 (/ U J)) (/ U J))) (* (* (/ (* K U) J) (/ (* K U) J)) 1/16)) 97.323 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (+ (+ (* 1/96 (* (/ (* K K) (/ J U)) (/ (* K K) (/ J U)))) (* (* 1/4 (/ U J)) (/ U J))) (* (* (/ (* K U) J) (/ (* K U) J)) 1/16)) 1)) -2) (cos (/ K 2))) J)) 97.323 * * * * [progress]: [ 138 / 142 ] simplifiying candidate # 97.324 * [simplify]: Simplifying (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 97.324 * * [simplify]: iters left: 6 (14 enodes) 97.332 * * [simplify]: iters left: 5 (60 enodes) 97.349 * * [simplify]: iters left: 4 (121 enodes) 97.395 * * [simplify]: iters left: 3 (401 enodes) 97.596 * * [simplify]: Extracting #0: cost 1 inf + 0 97.596 * * [simplify]: Extracting #1: cost 135 inf + 0 97.597 * * [simplify]: Extracting #2: cost 287 inf + 168 97.600 * * [simplify]: Extracting #3: cost 261 inf + 2234 97.608 * * [simplify]: Extracting #4: cost 167 inf + 19219 97.628 * * [simplify]: Extracting #5: cost 11 inf + 55565 97.643 * * [simplify]: Extracting #6: cost 0 inf + 57309 97.672 * * [simplify]: Extracting #7: cost 0 inf + 57229 97.694 * [simplify]: Simplified to (* (* (/ U (* J (cos (* 1/2 K)))) (/ U (* J (cos (* 1/2 K))))) 1/4) 97.694 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (* (* (/ U (* J (cos (* 1/2 K)))) (/ U (* J (cos (* 1/2 K))))) 1/4) 1)) -2) (cos (/ K 2))) J)) 97.694 * * * * [progress]: [ 139 / 142 ] simplifiying candidate # 97.694 * [simplify]: Simplifying (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 97.695 * * [simplify]: iters left: 6 (14 enodes) 97.699 * * [simplify]: iters left: 5 (60 enodes) 97.711 * * [simplify]: iters left: 4 (121 enodes) 97.775 * * [simplify]: iters left: 3 (401 enodes) 98.002 * * [simplify]: Extracting #0: cost 1 inf + 0 98.003 * * [simplify]: Extracting #1: cost 135 inf + 0 98.004 * * [simplify]: Extracting #2: cost 287 inf + 168 98.005 * * [simplify]: Extracting #3: cost 261 inf + 2234 98.010 * * [simplify]: Extracting #4: cost 167 inf + 19219 98.023 * * [simplify]: Extracting #5: cost 11 inf + 55565 98.040 * * [simplify]: Extracting #6: cost 0 inf + 57309 98.056 * * [simplify]: Extracting #7: cost 0 inf + 57229 98.078 * [simplify]: Simplified to (* (* (/ U (* J (cos (* 1/2 K)))) (/ U (* J (cos (* 1/2 K))))) 1/4) 98.078 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (J K U) (* (* (* (sqrt (+ (* (* (/ U (* J (cos (* 1/2 K)))) (/ U (* J (cos (* 1/2 K))))) 1/4) 1)) -2) (cos (/ K 2))) J)) 98.078 * * * * [progress]: [ 140 / 142 ] simplifiying candidate # 98.079 * [simplify]: Simplifying (- J (* 1/8 (* (pow K 2) J))) 98.079 * * [simplify]: iters left: 6 (8 enodes) 98.082 * * [simplify]: iters left: 5 (35 enodes) 98.089 * * [simplify]: iters left: 4 (67 enodes) 98.101 * * [simplify]: iters left: 3 (133 enodes) 98.128 * * [simplify]: iters left: 2 (207 enodes) 98.172 * * [simplify]: iters left: 1 (230 enodes) 98.225 * * [simplify]: Extracting #0: cost 1 inf + 0 98.225 * * [simplify]: Extracting #1: cost 6 inf + 0 98.225 * * [simplify]: Extracting #2: cost 28 inf + 1 98.225 * * [simplify]: Extracting #3: cost 33 inf + 378 98.226 * * [simplify]: Extracting #4: cost 2 inf + 2884 98.227 * * [simplify]: Extracting #5: cost 0 inf + 3130 98.228 * [simplify]: Simplified to (- J (* (* K K) (* J 1/8))) 98.228 * [simplify]: Simplified (2 1 1 1 1 1 2 2 2) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (- J (* (* K K) (* J 1/8)))))) 1)) -2) (cos (/ K 2))) J)) 98.228 * * * * [progress]: [ 141 / 142 ] simplifiying candidate # 98.229 * [simplify]: Simplifying (* (cos (* 1/2 K)) J) 98.229 * * [simplify]: iters left: 5 (6 enodes) 98.230 * * [simplify]: iters left: 4 (20 enodes) 98.233 * * [simplify]: Extracting #0: cost 1 inf + 0 98.233 * * [simplify]: Extracting #1: cost 4 inf + 0 98.233 * * [simplify]: Extracting #2: cost 5 inf + 1 98.233 * * [simplify]: Extracting #3: cost 8 inf + 1 98.233 * * [simplify]: Extracting #4: cost 6 inf + 3 98.233 * * [simplify]: Extracting #5: cost 0 inf + 577 98.233 * [simplify]: Simplified to (* (cos (* 1/2 K)) J) 98.233 * [simplify]: Simplified (2 1 1 1 1 1 2 2 2) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) -2) (cos (/ K 2))) J)) 98.234 * * * * [progress]: [ 142 / 142 ] simplifiying candidate # 98.234 * [simplify]: Simplifying (* (cos (* 1/2 K)) J) 98.234 * * [simplify]: iters left: 5 (6 enodes) 98.235 * * [simplify]: iters left: 4 (20 enodes) 98.238 * * [simplify]: Extracting #0: cost 1 inf + 0 98.239 * * [simplify]: Extracting #1: cost 4 inf + 0 98.239 * * [simplify]: Extracting #2: cost 5 inf + 1 98.239 * * [simplify]: Extracting #3: cost 8 inf + 1 98.239 * * [simplify]: Extracting #4: cost 6 inf + 3 98.239 * * [simplify]: Extracting #5: cost 0 inf + 577 98.239 * [simplify]: Simplified to (* (cos (* 1/2 K)) J) 98.239 * [simplify]: Simplified (2 1 1 1 1 1 2 2 2) to (λ (J K U) (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (* 1/2 K)) J)))) 1)) -2) (cos (/ K 2))) J)) 98.239 * * * [progress]: adding candidates to table 100.212 * * [progress]: iteration 3 / 4 100.212 * * * [progress]: picking best candidate 100.269 * * * * [pick]: Picked # 100.269 * * * [progress]: localizing error 100.324 * * * [progress]: generating rewritten candidates 100.324 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 101.643 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 103.046 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 104.359 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 1) 104.522 * * * [progress]: generating series expansions 104.522 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 104.523 * [backup-simplify]: Simplify (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) 104.523 * [approximate]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in (U K J) around 0 104.523 * [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 104.523 * [taylor]: Taking taylor expansion of -2 in J 104.523 * [backup-simplify]: Simplify -2 into -2 104.523 * [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 104.523 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 104.524 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 104.524 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 104.524 * [taylor]: Taking taylor expansion of 1/2 in J 104.524 * [backup-simplify]: Simplify 1/2 into 1/2 104.524 * [taylor]: Taking taylor expansion of K in J 104.524 * [backup-simplify]: Simplify K into K 104.524 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 104.524 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 104.524 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 104.524 * [taylor]: Taking taylor expansion of J in J 104.524 * [backup-simplify]: Simplify 0 into 0 104.524 * [backup-simplify]: Simplify 1 into 1 104.524 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 104.524 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 104.524 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 104.524 * [taylor]: Taking taylor expansion of 1/4 in J 104.524 * [backup-simplify]: Simplify 1/4 into 1/4 104.524 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 104.524 * [taylor]: Taking taylor expansion of (pow U 2) in J 104.524 * [taylor]: Taking taylor expansion of U in J 104.524 * [backup-simplify]: Simplify U into U 104.524 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 104.524 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 104.524 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 104.524 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 104.524 * [taylor]: Taking taylor expansion of 1/2 in J 104.524 * [backup-simplify]: Simplify 1/2 into 1/2 104.524 * [taylor]: Taking taylor expansion of K in J 104.524 * [backup-simplify]: Simplify K into K 104.524 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 104.525 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 104.525 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 104.525 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 104.525 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 104.526 * [backup-simplify]: Simplify (- 0) into 0 104.526 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 104.526 * [taylor]: Taking taylor expansion of (pow J 2) in J 104.526 * [taylor]: Taking taylor expansion of J in J 104.526 * [backup-simplify]: Simplify 0 into 0 104.526 * [backup-simplify]: Simplify 1 into 1 104.526 * [backup-simplify]: Simplify (* U U) into (pow U 2) 104.526 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 104.526 * [backup-simplify]: Simplify (* 1 1) into 1 104.527 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 104.527 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 104.527 * [taylor]: Taking taylor expansion of 1 in J 104.527 * [backup-simplify]: Simplify 1 into 1 104.527 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 104.527 * [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))) 104.528 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 104.528 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 104.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 104.529 * [backup-simplify]: Simplify (+ 0) into 0 104.529 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 104.530 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 104.531 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 104.531 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 104.531 * [backup-simplify]: Simplify (- 0) into 0 104.532 * [backup-simplify]: Simplify (+ 0 0) into 0 104.532 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 104.532 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 104.533 * [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 0 104.533 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 104.534 * [backup-simplify]: Simplify (+ 0 0) into 0 104.534 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 104.535 * [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 104.535 * [taylor]: Taking taylor expansion of -2 in K 104.535 * [backup-simplify]: Simplify -2 into -2 104.535 * [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 104.535 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 104.535 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 104.535 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 104.535 * [taylor]: Taking taylor expansion of 1/2 in K 104.535 * [backup-simplify]: Simplify 1/2 into 1/2 104.535 * [taylor]: Taking taylor expansion of K in K 104.535 * [backup-simplify]: Simplify 0 into 0 104.535 * [backup-simplify]: Simplify 1 into 1 104.535 * [backup-simplify]: Simplify (* 1/2 0) into 0 104.536 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 104.536 * [taylor]: Taking taylor expansion of J in K 104.536 * [backup-simplify]: Simplify J into J 104.536 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 104.536 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 104.536 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 104.536 * [taylor]: Taking taylor expansion of 1/4 in K 104.536 * [backup-simplify]: Simplify 1/4 into 1/4 104.536 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 104.536 * [taylor]: Taking taylor expansion of (pow U 2) in K 104.536 * [taylor]: Taking taylor expansion of U in K 104.536 * [backup-simplify]: Simplify U into U 104.536 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 104.536 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 104.536 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 104.536 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 104.536 * [taylor]: Taking taylor expansion of 1/2 in K 104.536 * [backup-simplify]: Simplify 1/2 into 1/2 104.536 * [taylor]: Taking taylor expansion of K in K 104.537 * [backup-simplify]: Simplify 0 into 0 104.537 * [backup-simplify]: Simplify 1 into 1 104.537 * [backup-simplify]: Simplify (* 1/2 0) into 0 104.538 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 104.538 * [taylor]: Taking taylor expansion of (pow J 2) in K 104.538 * [taylor]: Taking taylor expansion of J in K 104.538 * [backup-simplify]: Simplify J into J 104.538 * [backup-simplify]: Simplify (* U U) into (pow U 2) 104.538 * [backup-simplify]: Simplify (* 1 1) into 1 104.538 * [backup-simplify]: Simplify (* J J) into (pow J 2) 104.538 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 104.538 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 104.538 * [taylor]: Taking taylor expansion of 1 in K 104.539 * [backup-simplify]: Simplify 1 into 1 104.539 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 104.539 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 104.539 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 104.539 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 104.539 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 104.540 * [backup-simplify]: Simplify (+ 0) into 0 104.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 104.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 104.541 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 104.542 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 104.542 * [backup-simplify]: Simplify (+ 0 0) into 0 104.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 104.543 * [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 104.543 * [taylor]: Taking taylor expansion of -2 in U 104.543 * [backup-simplify]: Simplify -2 into -2 104.543 * [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 104.543 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 104.543 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 104.543 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 104.543 * [taylor]: Taking taylor expansion of 1/2 in U 104.543 * [backup-simplify]: Simplify 1/2 into 1/2 104.543 * [taylor]: Taking taylor expansion of K in U 104.543 * [backup-simplify]: Simplify K into K 104.543 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 104.543 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 104.543 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 104.543 * [taylor]: Taking taylor expansion of J in U 104.543 * [backup-simplify]: Simplify J into J 104.543 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 104.543 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 104.543 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 104.543 * [taylor]: Taking taylor expansion of 1/4 in U 104.543 * [backup-simplify]: Simplify 1/4 into 1/4 104.543 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 104.543 * [taylor]: Taking taylor expansion of (pow U 2) in U 104.543 * [taylor]: Taking taylor expansion of U in U 104.543 * [backup-simplify]: Simplify 0 into 0 104.543 * [backup-simplify]: Simplify 1 into 1 104.543 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 104.543 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 104.543 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 104.543 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 104.543 * [taylor]: Taking taylor expansion of 1/2 in U 104.543 * [backup-simplify]: Simplify 1/2 into 1/2 104.544 * [taylor]: Taking taylor expansion of K in U 104.544 * [backup-simplify]: Simplify K into K 104.544 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 104.544 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 104.544 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 104.544 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 104.544 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 104.544 * [backup-simplify]: Simplify (- 0) into 0 104.544 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 104.544 * [taylor]: Taking taylor expansion of (pow J 2) in U 104.544 * [taylor]: Taking taylor expansion of J in U 104.544 * [backup-simplify]: Simplify J into J 104.545 * [backup-simplify]: Simplify (* 1 1) into 1 104.545 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 104.545 * [backup-simplify]: Simplify (* J J) into (pow J 2) 104.545 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 104.545 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 104.545 * [taylor]: Taking taylor expansion of 1 in U 104.546 * [backup-simplify]: Simplify 1 into 1 104.546 * [backup-simplify]: Simplify (+ 0 1) into 1 104.546 * [backup-simplify]: Simplify (sqrt 1) into 1 104.547 * [backup-simplify]: Simplify (+ 0 0) into 0 104.547 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 104.547 * [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 104.548 * [taylor]: Taking taylor expansion of -2 in U 104.548 * [backup-simplify]: Simplify -2 into -2 104.548 * [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 104.548 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 104.548 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 104.548 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 104.548 * [taylor]: Taking taylor expansion of 1/2 in U 104.548 * [backup-simplify]: Simplify 1/2 into 1/2 104.548 * [taylor]: Taking taylor expansion of K in U 104.548 * [backup-simplify]: Simplify K into K 104.548 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 104.548 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 104.548 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 104.548 * [taylor]: Taking taylor expansion of J in U 104.548 * [backup-simplify]: Simplify J into J 104.548 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 104.548 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 104.548 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 104.548 * [taylor]: Taking taylor expansion of 1/4 in U 104.548 * [backup-simplify]: Simplify 1/4 into 1/4 104.548 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 104.548 * [taylor]: Taking taylor expansion of (pow U 2) in U 104.548 * [taylor]: Taking taylor expansion of U in U 104.548 * [backup-simplify]: Simplify 0 into 0 104.548 * [backup-simplify]: Simplify 1 into 1 104.548 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 104.548 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 104.548 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 104.548 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 104.548 * [taylor]: Taking taylor expansion of 1/2 in U 104.549 * [backup-simplify]: Simplify 1/2 into 1/2 104.549 * [taylor]: Taking taylor expansion of K in U 104.549 * [backup-simplify]: Simplify K into K 104.549 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 104.549 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 104.549 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 104.549 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 104.549 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 104.549 * [backup-simplify]: Simplify (- 0) into 0 104.549 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 104.549 * [taylor]: Taking taylor expansion of (pow J 2) in U 104.549 * [taylor]: Taking taylor expansion of J in U 104.550 * [backup-simplify]: Simplify J into J 104.550 * [backup-simplify]: Simplify (* 1 1) into 1 104.550 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 104.550 * [backup-simplify]: Simplify (* J J) into (pow J 2) 104.550 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 104.550 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 104.550 * [taylor]: Taking taylor expansion of 1 in U 104.550 * [backup-simplify]: Simplify 1 into 1 104.551 * [backup-simplify]: Simplify (+ 0 1) into 1 104.551 * [backup-simplify]: Simplify (sqrt 1) into 1 104.552 * [backup-simplify]: Simplify (+ 0 0) into 0 104.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 104.553 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 104.553 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 104.553 * [backup-simplify]: Simplify (- 0) into 0 104.553 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 104.553 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 104.553 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J) 104.553 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 104.554 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 104.554 * [taylor]: Taking taylor expansion of -2 in K 104.554 * [backup-simplify]: Simplify -2 into -2 104.554 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 104.554 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 104.554 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 104.554 * [taylor]: Taking taylor expansion of 1/2 in K 104.554 * [backup-simplify]: Simplify 1/2 into 1/2 104.554 * [taylor]: Taking taylor expansion of K in K 104.554 * [backup-simplify]: Simplify 0 into 0 104.554 * [backup-simplify]: Simplify 1 into 1 104.554 * [backup-simplify]: Simplify (* 1/2 0) into 0 104.555 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 104.555 * [taylor]: Taking taylor expansion of J in K 104.555 * [backup-simplify]: Simplify J into J 104.555 * [backup-simplify]: Simplify (* 1 J) into J 104.555 * [backup-simplify]: Simplify (* -2 J) into (* -2 J) 104.555 * [taylor]: Taking taylor expansion of (* -2 J) in J 104.555 * [taylor]: Taking taylor expansion of -2 in J 104.555 * [backup-simplify]: Simplify -2 into -2 104.555 * [taylor]: Taking taylor expansion of J in J 104.555 * [backup-simplify]: Simplify 0 into 0 104.555 * [backup-simplify]: Simplify 1 into 1 104.556 * [backup-simplify]: Simplify (+ 0) into 0 104.556 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 104.557 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 104.557 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 104.558 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 104.558 * [backup-simplify]: Simplify (- 0) into 0 104.559 * [backup-simplify]: Simplify (+ 0 0) into 0 104.559 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 104.559 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0 104.560 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 104.560 * [taylor]: Taking taylor expansion of 0 in K 104.560 * [backup-simplify]: Simplify 0 into 0 104.560 * [taylor]: Taking taylor expansion of 0 in J 104.560 * [backup-simplify]: Simplify 0 into 0 104.560 * [backup-simplify]: Simplify (+ 0) into 0 104.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 104.561 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0 104.561 * [taylor]: Taking taylor expansion of 0 in J 104.561 * [backup-simplify]: Simplify 0 into 0 104.562 * [backup-simplify]: Simplify (* -2 0) into 0 104.562 * [backup-simplify]: Simplify 0 into 0 104.562 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 104.562 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 104.564 * [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))) 104.565 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 104.566 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 104.566 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 104.567 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 104.568 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 104.568 * [backup-simplify]: Simplify (- 0) into 0 104.568 * [backup-simplify]: Simplify (+ 0 0) into 0 104.569 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 104.570 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) 104.571 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J)))) into (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) 104.571 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in K 104.571 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in K 104.571 * [taylor]: Taking taylor expansion of 1/4 in K 104.571 * [backup-simplify]: Simplify 1/4 into 1/4 104.571 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in K 104.571 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 104.571 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 104.571 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 104.571 * [taylor]: Taking taylor expansion of 1/2 in K 104.571 * [backup-simplify]: Simplify 1/2 into 1/2 104.571 * [taylor]: Taking taylor expansion of K in K 104.571 * [backup-simplify]: Simplify 0 into 0 104.571 * [backup-simplify]: Simplify 1 into 1 104.571 * [backup-simplify]: Simplify (* 1/2 0) into 0 104.572 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 104.572 * [taylor]: Taking taylor expansion of J in K 104.572 * [backup-simplify]: Simplify J into J 104.572 * [backup-simplify]: Simplify (* 1 J) into J 104.572 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J) 104.572 * [backup-simplify]: Simplify (* 1/4 (/ 1 J)) into (/ 1/4 J) 104.572 * [backup-simplify]: Simplify (- (/ 1/4 J)) into (- (* 1/4 (/ 1 J))) 104.572 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 J))) in J 104.572 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 J)) in J 104.572 * [taylor]: Taking taylor expansion of 1/4 in J 104.572 * [backup-simplify]: Simplify 1/4 into 1/4 104.573 * [taylor]: Taking taylor expansion of (/ 1 J) in J 104.573 * [taylor]: Taking taylor expansion of J in J 104.573 * [backup-simplify]: Simplify 0 into 0 104.573 * [backup-simplify]: Simplify 1 into 1 104.573 * [backup-simplify]: Simplify (/ 1 1) into 1 104.573 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 104.574 * [backup-simplify]: Simplify (- 1/4) into -1/4 104.574 * [backup-simplify]: Simplify -1/4 into -1/4 104.574 * [taylor]: Taking taylor expansion of 0 in J 104.574 * [backup-simplify]: Simplify 0 into 0 104.575 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 104.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 104.576 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J) 104.576 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 104.576 * [taylor]: Taking taylor expansion of 1/4 in J 104.577 * [backup-simplify]: Simplify 1/4 into 1/4 104.577 * [taylor]: Taking taylor expansion of J in J 104.577 * [backup-simplify]: Simplify 0 into 0 104.577 * [backup-simplify]: Simplify 1 into 1 104.577 * [backup-simplify]: Simplify 0 into 0 104.577 * [backup-simplify]: Simplify 0 into 0 104.577 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2 104.577 * [backup-simplify]: Simplify -2 into -2 104.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 104.578 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 104.579 * [backup-simplify]: Simplify (+ 0) into 0 104.579 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 104.580 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 104.580 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 104.581 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 104.581 * [backup-simplify]: Simplify (- 0) into 0 104.582 * [backup-simplify]: Simplify (+ 0 0) into 0 104.582 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 104.582 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 104.583 * [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 0 104.584 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 104.584 * [backup-simplify]: Simplify (+ 0 0) into 0 104.585 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 104.586 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 104.587 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 104.588 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 104.589 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 104.590 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 104.590 * [backup-simplify]: Simplify (- 0) into 0 104.591 * [backup-simplify]: Simplify (+ 0 0) into 0 104.591 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 104.592 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (+ (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1)))) into 0 104.593 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 104.593 * [taylor]: Taking taylor expansion of 0 in K 104.593 * [backup-simplify]: Simplify 0 into 0 104.593 * [taylor]: Taking taylor expansion of 0 in J 104.594 * [backup-simplify]: Simplify 0 into 0 104.594 * [backup-simplify]: Simplify (+ 0) into 0 104.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 104.595 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 104.595 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 J))) into 0 104.596 * [backup-simplify]: Simplify (- 0) into 0 104.596 * [taylor]: Taking taylor expansion of 0 in J 104.596 * [backup-simplify]: Simplify 0 into 0 104.596 * [taylor]: Taking taylor expansion of 0 in J 104.596 * [backup-simplify]: Simplify 0 into 0 104.597 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 104.598 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 104.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 104.600 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 104.600 * [taylor]: Taking taylor expansion of 0 in J 104.600 * [backup-simplify]: Simplify 0 into 0 104.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 104.602 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 104.602 * [backup-simplify]: Simplify (- 0) into 0 104.603 * [backup-simplify]: Simplify 0 into 0 104.603 * [backup-simplify]: Simplify 0 into 0 104.603 * [backup-simplify]: Simplify (* 1/4 0) into 0 104.603 * [backup-simplify]: Simplify 0 into 0 104.603 * [backup-simplify]: Simplify 0 into 0 104.603 * [backup-simplify]: Simplify 0 into 0 104.604 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 104.604 * [backup-simplify]: Simplify 0 into 0 104.605 * [backup-simplify]: Simplify (+ (* -2 (* J (* 1 1))) (* -1/4 (* (/ 1 J) (* 1 (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 104.606 * [backup-simplify]: Simplify (* (* (* (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) -2) (cos (/ (/ 1 K) 2))) (/ 1 J)) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 104.606 * [approximate]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in (U K J) around 0 104.606 * [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 104.606 * [taylor]: Taking taylor expansion of -2 in J 104.606 * [backup-simplify]: Simplify -2 into -2 104.606 * [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 104.606 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 104.606 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 104.606 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 104.606 * [taylor]: Taking taylor expansion of 1/4 in J 104.606 * [backup-simplify]: Simplify 1/4 into 1/4 104.606 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 104.606 * [taylor]: Taking taylor expansion of (pow J 2) in J 104.606 * [taylor]: Taking taylor expansion of J in J 104.606 * [backup-simplify]: Simplify 0 into 0 104.606 * [backup-simplify]: Simplify 1 into 1 104.606 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 104.607 * [taylor]: Taking taylor expansion of (pow U 2) in J 104.607 * [taylor]: Taking taylor expansion of U in J 104.607 * [backup-simplify]: Simplify U into U 104.607 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 104.607 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 104.607 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 104.607 * [taylor]: Taking taylor expansion of 1/2 in J 104.607 * [backup-simplify]: Simplify 1/2 into 1/2 104.607 * [taylor]: Taking taylor expansion of K in J 104.607 * [backup-simplify]: Simplify K into K 104.607 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 104.607 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 104.607 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 104.607 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 104.607 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 104.608 * [backup-simplify]: Simplify (- 0) into 0 104.608 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 104.608 * [backup-simplify]: Simplify (* 1 1) into 1 104.608 * [backup-simplify]: Simplify (* U U) into (pow U 2) 104.608 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 104.608 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 104.609 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 104.609 * [taylor]: Taking taylor expansion of 1 in J 104.609 * [backup-simplify]: Simplify 1 into 1 104.609 * [backup-simplify]: Simplify (+ 0 1) into 1 104.610 * [backup-simplify]: Simplify (sqrt 1) into 1 104.610 * [backup-simplify]: Simplify (+ 0 0) into 0 104.611 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 104.611 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 104.611 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 104.611 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 104.611 * [taylor]: Taking taylor expansion of 1/2 in J 104.611 * [backup-simplify]: Simplify 1/2 into 1/2 104.611 * [taylor]: Taking taylor expansion of K in J 104.611 * [backup-simplify]: Simplify K into K 104.611 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 104.611 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 104.611 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 104.611 * [taylor]: Taking taylor expansion of J in J 104.611 * [backup-simplify]: Simplify 0 into 0 104.611 * [backup-simplify]: Simplify 1 into 1 104.611 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 104.611 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 104.612 * [backup-simplify]: Simplify (- 0) into 0 104.612 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 104.612 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 104.612 * [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 104.612 * [taylor]: Taking taylor expansion of -2 in K 104.612 * [backup-simplify]: Simplify -2 into -2 104.612 * [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 104.612 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 104.612 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 104.612 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 104.612 * [taylor]: Taking taylor expansion of 1/4 in K 104.612 * [backup-simplify]: Simplify 1/4 into 1/4 104.612 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 104.612 * [taylor]: Taking taylor expansion of (pow J 2) in K 104.612 * [taylor]: Taking taylor expansion of J in K 104.612 * [backup-simplify]: Simplify J into J 104.612 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 104.612 * [taylor]: Taking taylor expansion of (pow U 2) in K 104.612 * [taylor]: Taking taylor expansion of U in K 104.612 * [backup-simplify]: Simplify U into U 104.612 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 104.612 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 104.612 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 104.613 * [taylor]: Taking taylor expansion of 1/2 in K 104.613 * [backup-simplify]: Simplify 1/2 into 1/2 104.613 * [taylor]: Taking taylor expansion of K in K 104.613 * [backup-simplify]: Simplify 0 into 0 104.613 * [backup-simplify]: Simplify 1 into 1 104.613 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 104.613 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 104.613 * [backup-simplify]: Simplify (* J J) into (pow J 2) 104.613 * [backup-simplify]: Simplify (* U U) into (pow U 2) 104.613 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 104.614 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 104.614 * [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))) 104.614 * [taylor]: Taking taylor expansion of 1 in K 104.614 * [backup-simplify]: Simplify 1 into 1 104.614 * [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)))) 104.614 * [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) 104.615 * [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)) 104.615 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 104.615 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 104.615 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 104.615 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 104.615 * [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 0 104.616 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 104.616 * [backup-simplify]: Simplify (+ 0 0) into 0 104.616 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 104.616 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 104.616 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 104.616 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 104.616 * [taylor]: Taking taylor expansion of 1/2 in K 104.616 * [backup-simplify]: Simplify 1/2 into 1/2 104.616 * [taylor]: Taking taylor expansion of K in K 104.616 * [backup-simplify]: Simplify 0 into 0 104.616 * [backup-simplify]: Simplify 1 into 1 104.617 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 104.617 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 104.617 * [taylor]: Taking taylor expansion of J in K 104.617 * [backup-simplify]: Simplify J into J 104.617 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 104.617 * [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 104.617 * [taylor]: Taking taylor expansion of -2 in U 104.617 * [backup-simplify]: Simplify -2 into -2 104.617 * [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 104.617 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 104.617 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 104.617 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 104.617 * [taylor]: Taking taylor expansion of 1/4 in U 104.617 * [backup-simplify]: Simplify 1/4 into 1/4 104.617 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 104.617 * [taylor]: Taking taylor expansion of (pow J 2) in U 104.617 * [taylor]: Taking taylor expansion of J in U 104.617 * [backup-simplify]: Simplify J into J 104.617 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 104.617 * [taylor]: Taking taylor expansion of (pow U 2) in U 104.617 * [taylor]: Taking taylor expansion of U in U 104.617 * [backup-simplify]: Simplify 0 into 0 104.617 * [backup-simplify]: Simplify 1 into 1 104.617 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 104.617 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 104.617 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 104.617 * [taylor]: Taking taylor expansion of 1/2 in U 104.617 * [backup-simplify]: Simplify 1/2 into 1/2 104.617 * [taylor]: Taking taylor expansion of K in U 104.617 * [backup-simplify]: Simplify K into K 104.617 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 104.617 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 104.617 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 104.617 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 104.617 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 104.618 * [backup-simplify]: Simplify (- 0) into 0 104.618 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 104.618 * [backup-simplify]: Simplify (* J J) into (pow J 2) 104.618 * [backup-simplify]: Simplify (* 1 1) into 1 104.618 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 104.618 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 104.618 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 104.618 * [taylor]: Taking taylor expansion of 1 in U 104.618 * [backup-simplify]: Simplify 1 into 1 104.618 * [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))) 104.619 * [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))) 104.619 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 104.619 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 104.619 * [backup-simplify]: Simplify (+ 0) into 0 104.619 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 104.620 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 104.620 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 104.620 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 104.621 * [backup-simplify]: Simplify (- 0) into 0 104.621 * [backup-simplify]: Simplify (+ 0 0) into 0 104.621 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 104.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 104.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 104.625 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 104.625 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 104.626 * [backup-simplify]: Simplify (+ 0 0) into 0 104.626 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 104.626 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 104.626 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 104.626 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 104.626 * [taylor]: Taking taylor expansion of 1/2 in U 104.626 * [backup-simplify]: Simplify 1/2 into 1/2 104.626 * [taylor]: Taking taylor expansion of K in U 104.626 * [backup-simplify]: Simplify K into K 104.626 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 104.626 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 104.626 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 104.626 * [taylor]: Taking taylor expansion of J in U 104.626 * [backup-simplify]: Simplify J into J 104.626 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 104.626 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 104.626 * [backup-simplify]: Simplify (- 0) into 0 104.626 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 104.627 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 104.627 * [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 104.627 * [taylor]: Taking taylor expansion of -2 in U 104.627 * [backup-simplify]: Simplify -2 into -2 104.627 * [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 104.627 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 104.627 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 104.627 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 104.627 * [taylor]: Taking taylor expansion of 1/4 in U 104.627 * [backup-simplify]: Simplify 1/4 into 1/4 104.627 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 104.627 * [taylor]: Taking taylor expansion of (pow J 2) in U 104.627 * [taylor]: Taking taylor expansion of J in U 104.627 * [backup-simplify]: Simplify J into J 104.627 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 104.627 * [taylor]: Taking taylor expansion of (pow U 2) in U 104.627 * [taylor]: Taking taylor expansion of U in U 104.627 * [backup-simplify]: Simplify 0 into 0 104.627 * [backup-simplify]: Simplify 1 into 1 104.627 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 104.627 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 104.627 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 104.627 * [taylor]: Taking taylor expansion of 1/2 in U 104.627 * [backup-simplify]: Simplify 1/2 into 1/2 104.627 * [taylor]: Taking taylor expansion of K in U 104.627 * [backup-simplify]: Simplify K into K 104.627 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 104.627 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 104.627 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 104.627 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 104.627 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 104.627 * [backup-simplify]: Simplify (- 0) into 0 104.627 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 104.628 * [backup-simplify]: Simplify (* J J) into (pow J 2) 104.628 * [backup-simplify]: Simplify (* 1 1) into 1 104.628 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 104.628 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 104.628 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 104.628 * [taylor]: Taking taylor expansion of 1 in U 104.628 * [backup-simplify]: Simplify 1 into 1 104.628 * [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))) 104.628 * [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))) 104.628 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 104.629 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 104.629 * [backup-simplify]: Simplify (+ 0) into 0 104.629 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 104.629 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 104.630 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 104.630 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 104.630 * [backup-simplify]: Simplify (- 0) into 0 104.630 * [backup-simplify]: Simplify (+ 0 0) into 0 104.631 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 104.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 104.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 104.632 * [backup-simplify]: 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 0 104.632 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 104.632 * [backup-simplify]: Simplify (+ 0 0) into 0 104.632 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 104.632 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 104.632 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 104.632 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 104.632 * [taylor]: Taking taylor expansion of 1/2 in U 104.632 * [backup-simplify]: Simplify 1/2 into 1/2 104.632 * [taylor]: Taking taylor expansion of K in U 104.632 * [backup-simplify]: Simplify K into K 104.632 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 104.632 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 104.633 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 104.633 * [taylor]: Taking taylor expansion of J in U 104.633 * [backup-simplify]: Simplify J into J 104.633 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 104.633 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 104.633 * [backup-simplify]: Simplify (- 0) into 0 104.633 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 104.633 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 104.633 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2 104.633 * [backup-simplify]: Simplify (* -2 1/2) into -1 104.634 * [taylor]: Taking taylor expansion of -1 in K 104.634 * [backup-simplify]: Simplify -1 into -1 104.634 * [taylor]: Taking taylor expansion of -1 in J 104.634 * [backup-simplify]: Simplify -1 into -1 104.634 * [backup-simplify]: Simplify (+ 0) into 0 104.634 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 104.634 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 104.635 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 104.635 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 104.635 * [backup-simplify]: Simplify (- 0) into 0 104.635 * [backup-simplify]: Simplify (+ 0 0) into 0 104.636 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 104.636 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 104.636 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 104.636 * [taylor]: Taking taylor expansion of 0 in K 104.636 * [backup-simplify]: Simplify 0 into 0 104.636 * [taylor]: Taking taylor expansion of 0 in J 104.636 * [backup-simplify]: Simplify 0 into 0 104.636 * [taylor]: Taking taylor expansion of 0 in J 104.636 * [backup-simplify]: Simplify 0 into 0 104.636 * [backup-simplify]: Simplify -1 into -1 104.637 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 104.637 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 104.637 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 104.638 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 104.638 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 104.638 * [backup-simplify]: Simplify (- 0) into 0 104.639 * [backup-simplify]: Simplify (+ 0 0) into 0 104.639 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 104.639 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 104.640 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 104.640 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 104.640 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 104.641 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 104.641 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 104.641 * [backup-simplify]: Simplify (- 0) into 0 104.641 * [backup-simplify]: Simplify (+ 0 0) into 0 104.642 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 104.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 104.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 104.644 * [backup-simplify]: 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 0 104.645 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 104.646 * [backup-simplify]: Simplify (+ 0 1) into 1 104.647 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 104.647 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (/ (cos (/ 1/2 K)) J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 104.648 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 104.648 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in K 104.648 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in K 104.649 * [taylor]: Taking taylor expansion of 2 in K 104.649 * [backup-simplify]: Simplify 2 into 2 104.649 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in K 104.649 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 104.649 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 104.649 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 104.649 * [taylor]: Taking taylor expansion of 1/2 in K 104.649 * [backup-simplify]: Simplify 1/2 into 1/2 104.649 * [taylor]: Taking taylor expansion of K in K 104.649 * [backup-simplify]: Simplify 0 into 0 104.649 * [backup-simplify]: Simplify 1 into 1 104.649 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 104.649 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 104.649 * [taylor]: Taking taylor expansion of (pow J 2) in K 104.649 * [taylor]: Taking taylor expansion of J in K 104.649 * [backup-simplify]: Simplify J into J 104.650 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 104.650 * [backup-simplify]: Simplify (* J J) into (pow J 2) 104.650 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 104.650 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 104.650 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 104.650 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 104.650 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 104.650 * [taylor]: Taking taylor expansion of 2 in J 104.650 * [backup-simplify]: Simplify 2 into 2 104.650 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 104.650 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 104.650 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 104.651 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 104.651 * [taylor]: Taking taylor expansion of 1/2 in J 104.651 * [backup-simplify]: Simplify 1/2 into 1/2 104.651 * [taylor]: Taking taylor expansion of K in J 104.651 * [backup-simplify]: Simplify K into K 104.651 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 104.651 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 104.651 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 104.651 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 104.651 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 104.651 * [backup-simplify]: Simplify (- 0) into 0 104.652 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 104.652 * [taylor]: Taking taylor expansion of (pow J 2) in J 104.652 * [taylor]: Taking taylor expansion of J in J 104.652 * [backup-simplify]: Simplify 0 into 0 104.652 * [backup-simplify]: Simplify 1 into 1 104.652 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 104.652 * [backup-simplify]: Simplify (* 1 1) into 1 104.652 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 104.653 * [backup-simplify]: Simplify (+ 0) into 0 104.653 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 104.653 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 104.654 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 104.655 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 104.655 * [backup-simplify]: Simplify (- 0) into 0 104.656 * [backup-simplify]: Simplify (+ 0 0) into 0 104.656 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 104.656 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 104.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 104.658 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 104.658 * [backup-simplify]: Simplify (- 0) into 0 104.658 * [backup-simplify]: Simplify 0 into 0 104.659 * [taylor]: Taking taylor expansion of 0 in J 104.659 * [backup-simplify]: Simplify 0 into 0 104.659 * [taylor]: Taking taylor expansion of 0 in J 104.659 * [backup-simplify]: Simplify 0 into 0 104.659 * [backup-simplify]: Simplify 0 into 0 104.659 * [backup-simplify]: Simplify 0 into 0 104.659 * [backup-simplify]: Simplify 0 into 0 104.660 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 104.661 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 104.661 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 104.663 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 104.663 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 104.664 * [backup-simplify]: Simplify (- 0) into 0 104.664 * [backup-simplify]: Simplify (+ 0 0) into 0 104.665 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 104.666 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 104.667 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 104.668 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 104.668 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 104.669 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 104.670 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 104.671 * [backup-simplify]: Simplify (- 0) into 0 104.671 * [backup-simplify]: Simplify (+ 0 0) into 0 104.672 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 104.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 104.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 104.675 * [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))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 104.676 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 104.677 * [backup-simplify]: Simplify (+ 0 0) into 0 104.677 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 104.678 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0 104.679 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 104.679 * [taylor]: Taking taylor expansion of 0 in K 104.679 * [backup-simplify]: Simplify 0 into 0 104.679 * [taylor]: Taking taylor expansion of 0 in J 104.679 * [backup-simplify]: Simplify 0 into 0 104.679 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 104.679 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 104.680 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 104.680 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into 0 104.681 * [backup-simplify]: Simplify (- 0) into 0 104.681 * [taylor]: Taking taylor expansion of 0 in J 104.681 * [backup-simplify]: Simplify 0 into 0 104.681 * [taylor]: Taking taylor expansion of 0 in J 104.681 * [backup-simplify]: Simplify 0 into 0 104.681 * [taylor]: Taking taylor expansion of 0 in J 104.681 * [backup-simplify]: Simplify 0 into 0 104.682 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 104.683 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 104.683 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 104.683 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 104.684 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 104.684 * [backup-simplify]: Simplify (- 0) into 0 104.685 * [backup-simplify]: Simplify (+ 0 0) into 0 104.685 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 104.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 104.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 104.689 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 104.689 * [backup-simplify]: Simplify (- 0) into 0 104.689 * [backup-simplify]: Simplify 0 into 0 104.689 * [backup-simplify]: Simplify 0 into 0 104.689 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 104.690 * [backup-simplify]: Simplify (* (* (* (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) -2) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- J))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 104.690 * [approximate]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in (U K J) around 0 104.690 * [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 104.690 * [taylor]: Taking taylor expansion of 2 in J 104.690 * [backup-simplify]: Simplify 2 into 2 104.690 * [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 104.690 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 104.690 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 104.690 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 104.690 * [taylor]: Taking taylor expansion of -1/2 in J 104.690 * [backup-simplify]: Simplify -1/2 into -1/2 104.690 * [taylor]: Taking taylor expansion of K in J 104.690 * [backup-simplify]: Simplify K into K 104.691 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 104.691 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 104.691 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 104.691 * [taylor]: Taking taylor expansion of J in J 104.691 * [backup-simplify]: Simplify 0 into 0 104.691 * [backup-simplify]: Simplify 1 into 1 104.691 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 104.691 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 104.691 * [backup-simplify]: Simplify (- 0) into 0 104.691 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 104.691 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 104.691 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 104.692 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 104.692 * [taylor]: Taking taylor expansion of 1 in J 104.692 * [backup-simplify]: Simplify 1 into 1 104.692 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 104.692 * [taylor]: Taking taylor expansion of 1/4 in J 104.692 * [backup-simplify]: Simplify 1/4 into 1/4 104.692 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 104.692 * [taylor]: Taking taylor expansion of (pow J 2) in J 104.692 * [taylor]: Taking taylor expansion of J in J 104.692 * [backup-simplify]: Simplify 0 into 0 104.692 * [backup-simplify]: Simplify 1 into 1 104.692 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 104.692 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 104.692 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 104.692 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 104.692 * [taylor]: Taking taylor expansion of -1/2 in J 104.692 * [backup-simplify]: Simplify -1/2 into -1/2 104.692 * [taylor]: Taking taylor expansion of K in J 104.692 * [backup-simplify]: Simplify K into K 104.692 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 104.692 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 104.692 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 104.692 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 104.692 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 104.693 * [backup-simplify]: Simplify (- 0) into 0 104.693 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 104.693 * [taylor]: Taking taylor expansion of (pow U 2) in J 104.693 * [taylor]: Taking taylor expansion of U in J 104.693 * [backup-simplify]: Simplify U into U 104.693 * [backup-simplify]: Simplify (* 1 1) into 1 104.693 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 104.693 * [backup-simplify]: Simplify (* U U) into (pow U 2) 104.694 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 104.694 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 104.694 * [backup-simplify]: Simplify (+ 1 0) into 1 104.695 * [backup-simplify]: Simplify (sqrt 1) into 1 104.695 * [backup-simplify]: Simplify (+ 0 0) into 0 104.696 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 104.696 * [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 104.696 * [taylor]: Taking taylor expansion of 2 in K 104.696 * [backup-simplify]: Simplify 2 into 2 104.696 * [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 104.696 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 104.696 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 104.696 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 104.696 * [taylor]: Taking taylor expansion of -1/2 in K 104.696 * [backup-simplify]: Simplify -1/2 into -1/2 104.696 * [taylor]: Taking taylor expansion of K in K 104.696 * [backup-simplify]: Simplify 0 into 0 104.696 * [backup-simplify]: Simplify 1 into 1 104.697 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 104.697 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 104.697 * [taylor]: Taking taylor expansion of J in K 104.697 * [backup-simplify]: Simplify J into J 104.697 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 104.697 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 104.697 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 104.697 * [taylor]: Taking taylor expansion of 1 in K 104.697 * [backup-simplify]: Simplify 1 into 1 104.697 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 104.697 * [taylor]: Taking taylor expansion of 1/4 in K 104.697 * [backup-simplify]: Simplify 1/4 into 1/4 104.697 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 104.697 * [taylor]: Taking taylor expansion of (pow J 2) in K 104.697 * [taylor]: Taking taylor expansion of J in K 104.697 * [backup-simplify]: Simplify J into J 104.697 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 104.697 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 104.697 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 104.697 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 104.697 * [taylor]: Taking taylor expansion of -1/2 in K 104.697 * [backup-simplify]: Simplify -1/2 into -1/2 104.697 * [taylor]: Taking taylor expansion of K in K 104.697 * [backup-simplify]: Simplify 0 into 0 104.697 * [backup-simplify]: Simplify 1 into 1 104.698 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 104.698 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 104.698 * [taylor]: Taking taylor expansion of (pow U 2) in K 104.698 * [taylor]: Taking taylor expansion of U in K 104.698 * [backup-simplify]: Simplify U into U 104.698 * [backup-simplify]: Simplify (* J J) into (pow J 2) 104.698 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 104.698 * [backup-simplify]: Simplify (* U U) into (pow U 2) 104.698 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 104.699 * [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))) 104.699 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 104.699 * [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))))) 104.700 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 104.700 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 104.700 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 104.700 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 104.700 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 104.701 * [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 0 104.701 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 104.702 * [backup-simplify]: Simplify (+ 0 0) into 0 104.702 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 104.702 * [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 104.702 * [taylor]: Taking taylor expansion of 2 in U 104.702 * [backup-simplify]: Simplify 2 into 2 104.702 * [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 104.703 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 104.703 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 104.703 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 104.703 * [taylor]: Taking taylor expansion of -1/2 in U 104.703 * [backup-simplify]: Simplify -1/2 into -1/2 104.703 * [taylor]: Taking taylor expansion of K in U 104.703 * [backup-simplify]: Simplify K into K 104.703 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 104.703 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 104.703 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 104.703 * [taylor]: Taking taylor expansion of J in U 104.703 * [backup-simplify]: Simplify J into J 104.703 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 104.703 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 104.703 * [backup-simplify]: Simplify (- 0) into 0 104.704 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 104.704 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 104.704 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 104.704 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 104.704 * [taylor]: Taking taylor expansion of 1 in U 104.704 * [backup-simplify]: Simplify 1 into 1 104.704 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 104.704 * [taylor]: Taking taylor expansion of 1/4 in U 104.704 * [backup-simplify]: Simplify 1/4 into 1/4 104.704 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 104.704 * [taylor]: Taking taylor expansion of (pow J 2) in U 104.704 * [taylor]: Taking taylor expansion of J in U 104.704 * [backup-simplify]: Simplify J into J 104.704 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 104.704 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 104.704 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 104.704 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 104.704 * [taylor]: Taking taylor expansion of -1/2 in U 104.704 * [backup-simplify]: Simplify -1/2 into -1/2 104.704 * [taylor]: Taking taylor expansion of K in U 104.704 * [backup-simplify]: Simplify K into K 104.704 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 104.704 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 104.704 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 104.704 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 104.705 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 104.705 * [backup-simplify]: Simplify (- 0) into 0 104.705 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 104.705 * [taylor]: Taking taylor expansion of (pow U 2) in U 104.705 * [taylor]: Taking taylor expansion of U in U 104.705 * [backup-simplify]: Simplify 0 into 0 104.705 * [backup-simplify]: Simplify 1 into 1 104.706 * [backup-simplify]: Simplify (* J J) into (pow J 2) 104.706 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 104.706 * [backup-simplify]: Simplify (* 1 1) into 1 104.706 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 104.706 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 104.707 * [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))) 104.707 * [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))) 104.707 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 104.707 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 104.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 104.708 * [backup-simplify]: Simplify (+ 0) into 0 104.709 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 104.709 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 104.710 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 104.710 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 104.711 * [backup-simplify]: Simplify (- 0) into 0 104.711 * [backup-simplify]: Simplify (+ 0 0) into 0 104.711 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 104.712 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 104.712 * [backup-simplify]: 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 0 104.713 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 104.713 * [backup-simplify]: Simplify (+ 0 0) into 0 104.713 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 104.713 * [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 104.713 * [taylor]: Taking taylor expansion of 2 in U 104.713 * [backup-simplify]: Simplify 2 into 2 104.713 * [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 104.713 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 104.713 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 104.713 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 104.714 * [taylor]: Taking taylor expansion of -1/2 in U 104.714 * [backup-simplify]: Simplify -1/2 into -1/2 104.714 * [taylor]: Taking taylor expansion of K in U 104.714 * [backup-simplify]: Simplify K into K 104.714 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 104.714 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 104.714 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 104.714 * [taylor]: Taking taylor expansion of J in U 104.714 * [backup-simplify]: Simplify J into J 104.714 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 104.714 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 104.714 * [backup-simplify]: Simplify (- 0) into 0 104.715 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 104.715 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 104.715 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 104.715 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 104.715 * [taylor]: Taking taylor expansion of 1 in U 104.715 * [backup-simplify]: Simplify 1 into 1 104.715 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 104.715 * [taylor]: Taking taylor expansion of 1/4 in U 104.715 * [backup-simplify]: Simplify 1/4 into 1/4 104.715 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 104.715 * [taylor]: Taking taylor expansion of (pow J 2) in U 104.715 * [taylor]: Taking taylor expansion of J in U 104.715 * [backup-simplify]: Simplify J into J 104.715 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 104.715 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 104.715 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 104.715 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 104.715 * [taylor]: Taking taylor expansion of -1/2 in U 104.715 * [backup-simplify]: Simplify -1/2 into -1/2 104.715 * [taylor]: Taking taylor expansion of K in U 104.715 * [backup-simplify]: Simplify K into K 104.715 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 104.715 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 104.715 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 104.715 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 104.716 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 104.716 * [backup-simplify]: Simplify (- 0) into 0 104.716 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 104.716 * [taylor]: Taking taylor expansion of (pow U 2) in U 104.716 * [taylor]: Taking taylor expansion of U in U 104.716 * [backup-simplify]: Simplify 0 into 0 104.716 * [backup-simplify]: Simplify 1 into 1 104.716 * [backup-simplify]: Simplify (* J J) into (pow J 2) 104.716 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 104.717 * [backup-simplify]: Simplify (* 1 1) into 1 104.717 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 104.717 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 104.717 * [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))) 104.718 * [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))) 104.718 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 104.718 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 104.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 104.719 * [backup-simplify]: Simplify (+ 0) into 0 104.719 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 104.720 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 104.720 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 104.721 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 104.721 * [backup-simplify]: Simplify (- 0) into 0 104.721 * [backup-simplify]: Simplify (+ 0 0) into 0 104.722 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 104.722 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 104.723 * [backup-simplify]: 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 0 104.723 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 104.724 * [backup-simplify]: Simplify (+ 0 0) into 0 104.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 104.724 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2 104.724 * [backup-simplify]: Simplify (* 2 1/2) into 1 104.725 * [taylor]: Taking taylor expansion of 1 in K 104.725 * [backup-simplify]: Simplify 1 into 1 104.725 * [taylor]: Taking taylor expansion of 1 in J 104.725 * [backup-simplify]: Simplify 1 into 1 104.725 * [backup-simplify]: Simplify (+ 0) into 0 104.726 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 104.726 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 104.726 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 104.727 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 104.727 * [backup-simplify]: Simplify (- 0) into 0 104.728 * [backup-simplify]: Simplify (+ 0 0) into 0 104.728 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 104.728 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 104.729 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 104.729 * [taylor]: Taking taylor expansion of 0 in K 104.729 * [backup-simplify]: Simplify 0 into 0 104.729 * [taylor]: Taking taylor expansion of 0 in J 104.729 * [backup-simplify]: Simplify 0 into 0 104.729 * [taylor]: Taking taylor expansion of 0 in J 104.729 * [backup-simplify]: Simplify 0 into 0 104.729 * [backup-simplify]: Simplify 1 into 1 104.730 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 104.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 104.731 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 104.732 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 104.732 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 104.733 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 104.734 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 104.734 * [backup-simplify]: Simplify (- 0) into 0 104.734 * [backup-simplify]: Simplify (+ 0 0) into 0 104.735 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 104.736 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 104.736 * [backup-simplify]: 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 0 104.737 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 104.738 * [backup-simplify]: Simplify (+ 1 0) into 1 104.738 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 104.739 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 104.740 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 104.740 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 104.741 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 104.741 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 104.742 * [backup-simplify]: Simplify (- 0) into 0 104.742 * [backup-simplify]: Simplify (+ 0 0) into 0 104.742 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 104.743 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 104.744 * [backup-simplify]: Simplify (+ (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 104.744 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in K 104.744 * [taylor]: Taking taylor expansion of 2 in K 104.744 * [backup-simplify]: Simplify 2 into 2 104.744 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in K 104.744 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 104.744 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 104.744 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 104.744 * [taylor]: Taking taylor expansion of -1/2 in K 104.744 * [backup-simplify]: Simplify -1/2 into -1/2 104.744 * [taylor]: Taking taylor expansion of K in K 104.744 * [backup-simplify]: Simplify 0 into 0 104.744 * [backup-simplify]: Simplify 1 into 1 104.745 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 104.745 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 104.745 * [taylor]: Taking taylor expansion of (pow J 2) in K 104.745 * [taylor]: Taking taylor expansion of J in K 104.745 * [backup-simplify]: Simplify J into J 104.745 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 104.745 * [backup-simplify]: Simplify (* J J) into (pow J 2) 104.745 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 104.746 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 104.746 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 104.746 * [taylor]: Taking taylor expansion of 2 in J 104.746 * [backup-simplify]: Simplify 2 into 2 104.746 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 104.746 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 104.746 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 104.746 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 104.746 * [taylor]: Taking taylor expansion of -1/2 in J 104.746 * [backup-simplify]: Simplify -1/2 into -1/2 104.746 * [taylor]: Taking taylor expansion of K in J 104.746 * [backup-simplify]: Simplify K into K 104.746 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 104.746 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 104.746 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 104.746 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 104.746 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 104.747 * [backup-simplify]: Simplify (- 0) into 0 104.747 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 104.747 * [taylor]: Taking taylor expansion of (pow J 2) in J 104.747 * [taylor]: Taking taylor expansion of J in J 104.747 * [backup-simplify]: Simplify 0 into 0 104.747 * [backup-simplify]: Simplify 1 into 1 104.747 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 104.747 * [backup-simplify]: Simplify (* 1 1) into 1 104.748 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 104.748 * [backup-simplify]: Simplify (+ 0) into 0 104.748 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 104.749 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 104.749 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 104.750 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 104.750 * [backup-simplify]: Simplify (- 0) into 0 104.751 * [backup-simplify]: Simplify (+ 0 0) into 0 104.751 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 104.751 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 104.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 104.753 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 104.753 * [backup-simplify]: Simplify 0 into 0 104.753 * [taylor]: Taking taylor expansion of 0 in J 104.753 * [backup-simplify]: Simplify 0 into 0 104.753 * [taylor]: Taking taylor expansion of 0 in J 104.753 * [backup-simplify]: Simplify 0 into 0 104.753 * [backup-simplify]: Simplify 0 into 0 104.753 * [backup-simplify]: Simplify 0 into 0 104.753 * [backup-simplify]: Simplify 0 into 0 104.754 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 104.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 104.756 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 104.757 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 104.757 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 104.759 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 104.759 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 104.759 * [backup-simplify]: Simplify (- 0) into 0 104.760 * [backup-simplify]: Simplify (+ 0 0) into 0 104.760 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 104.764 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 104.764 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 104.765 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 104.766 * [backup-simplify]: Simplify (+ 0 0) into 0 104.766 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 104.766 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 104.767 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 104.767 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 104.768 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 104.768 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 104.768 * [backup-simplify]: Simplify (- 0) into 0 104.769 * [backup-simplify]: Simplify (+ 0 0) into 0 104.769 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 104.769 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 104.770 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 104.770 * [taylor]: Taking taylor expansion of 0 in K 104.770 * [backup-simplify]: Simplify 0 into 0 104.770 * [taylor]: Taking taylor expansion of 0 in J 104.770 * [backup-simplify]: Simplify 0 into 0 104.770 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 104.770 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 104.770 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 104.771 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) into 0 104.771 * [taylor]: Taking taylor expansion of 0 in J 104.771 * [backup-simplify]: Simplify 0 into 0 104.771 * [taylor]: Taking taylor expansion of 0 in J 104.771 * [backup-simplify]: Simplify 0 into 0 104.771 * [taylor]: Taking taylor expansion of 0 in J 104.771 * [backup-simplify]: Simplify 0 into 0 104.772 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 104.772 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 104.772 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 104.773 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 104.773 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 104.773 * [backup-simplify]: Simplify (- 0) into 0 104.773 * [backup-simplify]: Simplify (+ 0 0) into 0 104.774 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 104.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 104.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 104.776 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 104.776 * [backup-simplify]: Simplify 0 into 0 104.776 * [backup-simplify]: Simplify 0 into 0 104.776 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 104.776 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 104.776 * [backup-simplify]: Simplify (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) 104.776 * [approximate]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in (U K J) around 0 104.776 * [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 104.776 * [taylor]: Taking taylor expansion of -2 in J 104.776 * [backup-simplify]: Simplify -2 into -2 104.776 * [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 104.776 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 104.776 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 104.776 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 104.776 * [taylor]: Taking taylor expansion of 1/2 in J 104.776 * [backup-simplify]: Simplify 1/2 into 1/2 104.776 * [taylor]: Taking taylor expansion of K in J 104.776 * [backup-simplify]: Simplify K into K 104.776 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 104.777 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 104.777 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 104.777 * [taylor]: Taking taylor expansion of J in J 104.777 * [backup-simplify]: Simplify 0 into 0 104.777 * [backup-simplify]: Simplify 1 into 1 104.777 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 104.777 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 104.777 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 104.777 * [taylor]: Taking taylor expansion of 1/4 in J 104.777 * [backup-simplify]: Simplify 1/4 into 1/4 104.777 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 104.777 * [taylor]: Taking taylor expansion of (pow U 2) in J 104.777 * [taylor]: Taking taylor expansion of U in J 104.777 * [backup-simplify]: Simplify U into U 104.777 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 104.777 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 104.777 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 104.777 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 104.777 * [taylor]: Taking taylor expansion of 1/2 in J 104.777 * [backup-simplify]: Simplify 1/2 into 1/2 104.777 * [taylor]: Taking taylor expansion of K in J 104.777 * [backup-simplify]: Simplify K into K 104.777 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 104.777 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 104.777 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 104.777 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 104.777 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 104.777 * [backup-simplify]: Simplify (- 0) into 0 104.777 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 104.777 * [taylor]: Taking taylor expansion of (pow J 2) in J 104.777 * [taylor]: Taking taylor expansion of J in J 104.777 * [backup-simplify]: Simplify 0 into 0 104.777 * [backup-simplify]: Simplify 1 into 1 104.777 * [backup-simplify]: Simplify (* U U) into (pow U 2) 104.778 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 104.778 * [backup-simplify]: Simplify (* 1 1) into 1 104.778 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 104.778 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 104.778 * [taylor]: Taking taylor expansion of 1 in J 104.778 * [backup-simplify]: Simplify 1 into 1 104.778 * [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))) 104.778 * [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))) 104.778 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 104.778 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 104.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 104.779 * [backup-simplify]: Simplify (+ 0) into 0 104.779 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 104.780 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 104.780 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 104.780 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 104.781 * [backup-simplify]: Simplify (- 0) into 0 104.781 * [backup-simplify]: Simplify (+ 0 0) into 0 104.781 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 104.781 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 104.782 * [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 0 104.782 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 104.782 * [backup-simplify]: Simplify (+ 0 0) into 0 104.782 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 104.782 * [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 104.782 * [taylor]: Taking taylor expansion of -2 in K 104.782 * [backup-simplify]: Simplify -2 into -2 104.782 * [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 104.782 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 104.782 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 104.782 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 104.782 * [taylor]: Taking taylor expansion of 1/2 in K 104.782 * [backup-simplify]: Simplify 1/2 into 1/2 104.783 * [taylor]: Taking taylor expansion of K in K 104.783 * [backup-simplify]: Simplify 0 into 0 104.783 * [backup-simplify]: Simplify 1 into 1 104.783 * [backup-simplify]: Simplify (* 1/2 0) into 0 104.783 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 104.783 * [taylor]: Taking taylor expansion of J in K 104.783 * [backup-simplify]: Simplify J into J 104.783 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 104.783 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 104.783 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 104.783 * [taylor]: Taking taylor expansion of 1/4 in K 104.783 * [backup-simplify]: Simplify 1/4 into 1/4 104.783 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 104.783 * [taylor]: Taking taylor expansion of (pow U 2) in K 104.783 * [taylor]: Taking taylor expansion of U in K 104.783 * [backup-simplify]: Simplify U into U 104.783 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 104.783 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 104.783 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 104.783 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 104.783 * [taylor]: Taking taylor expansion of 1/2 in K 104.784 * [backup-simplify]: Simplify 1/2 into 1/2 104.784 * [taylor]: Taking taylor expansion of K in K 104.784 * [backup-simplify]: Simplify 0 into 0 104.784 * [backup-simplify]: Simplify 1 into 1 104.784 * [backup-simplify]: Simplify (* 1/2 0) into 0 104.784 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 104.784 * [taylor]: Taking taylor expansion of (pow J 2) in K 104.784 * [taylor]: Taking taylor expansion of J in K 104.784 * [backup-simplify]: Simplify J into J 104.784 * [backup-simplify]: Simplify (* U U) into (pow U 2) 104.785 * [backup-simplify]: Simplify (* 1 1) into 1 104.785 * [backup-simplify]: Simplify (* J J) into (pow J 2) 104.785 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 104.785 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 104.785 * [taylor]: Taking taylor expansion of 1 in K 104.785 * [backup-simplify]: Simplify 1 into 1 104.785 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 104.785 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 104.785 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 104.785 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 104.785 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 104.786 * [backup-simplify]: Simplify (+ 0) into 0 104.786 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 104.786 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 104.787 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 104.787 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 104.788 * [backup-simplify]: Simplify (+ 0 0) into 0 104.788 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 104.788 * [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 104.788 * [taylor]: Taking taylor expansion of -2 in U 104.788 * [backup-simplify]: Simplify -2 into -2 104.788 * [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 104.788 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 104.788 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 104.788 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 104.788 * [taylor]: Taking taylor expansion of 1/2 in U 104.788 * [backup-simplify]: Simplify 1/2 into 1/2 104.788 * [taylor]: Taking taylor expansion of K in U 104.788 * [backup-simplify]: Simplify K into K 104.788 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 104.788 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 104.788 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 104.789 * [taylor]: Taking taylor expansion of J in U 104.789 * [backup-simplify]: Simplify J into J 104.789 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 104.789 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 104.789 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 104.789 * [taylor]: Taking taylor expansion of 1/4 in U 104.789 * [backup-simplify]: Simplify 1/4 into 1/4 104.789 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 104.789 * [taylor]: Taking taylor expansion of (pow U 2) in U 104.789 * [taylor]: Taking taylor expansion of U in U 104.789 * [backup-simplify]: Simplify 0 into 0 104.789 * [backup-simplify]: Simplify 1 into 1 104.789 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 104.789 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 104.789 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 104.789 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 104.789 * [taylor]: Taking taylor expansion of 1/2 in U 104.789 * [backup-simplify]: Simplify 1/2 into 1/2 104.789 * [taylor]: Taking taylor expansion of K in U 104.789 * [backup-simplify]: Simplify K into K 104.789 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 104.789 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 104.789 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 104.789 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 104.789 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 104.790 * [backup-simplify]: Simplify (- 0) into 0 104.790 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 104.790 * [taylor]: Taking taylor expansion of (pow J 2) in U 104.790 * [taylor]: Taking taylor expansion of J in U 104.790 * [backup-simplify]: Simplify J into J 104.790 * [backup-simplify]: Simplify (* 1 1) into 1 104.791 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 104.791 * [backup-simplify]: Simplify (* J J) into (pow J 2) 104.791 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 104.791 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 104.791 * [taylor]: Taking taylor expansion of 1 in U 104.791 * [backup-simplify]: Simplify 1 into 1 104.791 * [backup-simplify]: Simplify (+ 0 1) into 1 104.792 * [backup-simplify]: Simplify (sqrt 1) into 1 104.792 * [backup-simplify]: Simplify (+ 0 0) into 0 104.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 104.793 * [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 104.793 * [taylor]: Taking taylor expansion of -2 in U 104.793 * [backup-simplify]: Simplify -2 into -2 104.793 * [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 104.793 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 104.793 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 104.793 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 104.793 * [taylor]: Taking taylor expansion of 1/2 in U 104.793 * [backup-simplify]: Simplify 1/2 into 1/2 104.793 * [taylor]: Taking taylor expansion of K in U 104.793 * [backup-simplify]: Simplify K into K 104.793 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 104.793 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 104.793 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 104.793 * [taylor]: Taking taylor expansion of J in U 104.794 * [backup-simplify]: Simplify J into J 104.794 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 104.794 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 104.794 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 104.794 * [taylor]: Taking taylor expansion of 1/4 in U 104.794 * [backup-simplify]: Simplify 1/4 into 1/4 104.794 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 104.794 * [taylor]: Taking taylor expansion of (pow U 2) in U 104.794 * [taylor]: Taking taylor expansion of U in U 104.794 * [backup-simplify]: Simplify 0 into 0 104.794 * [backup-simplify]: Simplify 1 into 1 104.794 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 104.794 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 104.794 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 104.794 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 104.794 * [taylor]: Taking taylor expansion of 1/2 in U 104.794 * [backup-simplify]: Simplify 1/2 into 1/2 104.794 * [taylor]: Taking taylor expansion of K in U 104.794 * [backup-simplify]: Simplify K into K 104.794 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 104.794 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 104.794 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 104.794 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 104.794 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 104.795 * [backup-simplify]: Simplify (- 0) into 0 104.795 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 104.795 * [taylor]: Taking taylor expansion of (pow J 2) in U 104.795 * [taylor]: Taking taylor expansion of J in U 104.795 * [backup-simplify]: Simplify J into J 104.795 * [backup-simplify]: Simplify (* 1 1) into 1 104.795 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 104.796 * [backup-simplify]: Simplify (* J J) into (pow J 2) 104.796 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 104.796 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 104.796 * [taylor]: Taking taylor expansion of 1 in U 104.796 * [backup-simplify]: Simplify 1 into 1 104.796 * [backup-simplify]: Simplify (+ 0 1) into 1 104.797 * [backup-simplify]: Simplify (sqrt 1) into 1 104.797 * [backup-simplify]: Simplify (+ 0 0) into 0 104.798 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 104.798 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 104.798 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 104.798 * [backup-simplify]: Simplify (- 0) into 0 104.799 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 104.799 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 104.799 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J) 104.799 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 104.799 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 104.799 * [taylor]: Taking taylor expansion of -2 in K 104.799 * [backup-simplify]: Simplify -2 into -2 104.799 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 104.799 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 104.799 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 104.799 * [taylor]: Taking taylor expansion of 1/2 in K 104.799 * [backup-simplify]: Simplify 1/2 into 1/2 104.799 * [taylor]: Taking taylor expansion of K in K 104.799 * [backup-simplify]: Simplify 0 into 0 104.799 * [backup-simplify]: Simplify 1 into 1 104.800 * [backup-simplify]: Simplify (* 1/2 0) into 0 104.800 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 104.800 * [taylor]: Taking taylor expansion of J in K 104.800 * [backup-simplify]: Simplify J into J 104.800 * [backup-simplify]: Simplify (* 1 J) into J 104.801 * [backup-simplify]: Simplify (* -2 J) into (* -2 J) 104.801 * [taylor]: Taking taylor expansion of (* -2 J) in J 104.801 * [taylor]: Taking taylor expansion of -2 in J 104.801 * [backup-simplify]: Simplify -2 into -2 104.801 * [taylor]: Taking taylor expansion of J in J 104.801 * [backup-simplify]: Simplify 0 into 0 104.801 * [backup-simplify]: Simplify 1 into 1 104.801 * [backup-simplify]: Simplify (+ 0) into 0 104.802 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 104.802 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 104.803 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 104.803 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 104.804 * [backup-simplify]: Simplify (- 0) into 0 104.804 * [backup-simplify]: Simplify (+ 0 0) into 0 104.804 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 104.805 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0 104.805 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 104.805 * [taylor]: Taking taylor expansion of 0 in K 104.805 * [backup-simplify]: Simplify 0 into 0 104.805 * [taylor]: Taking taylor expansion of 0 in J 104.805 * [backup-simplify]: Simplify 0 into 0 104.806 * [backup-simplify]: Simplify (+ 0) into 0 104.806 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 104.807 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0 104.807 * [taylor]: Taking taylor expansion of 0 in J 104.807 * [backup-simplify]: Simplify 0 into 0 104.807 * [backup-simplify]: Simplify (* -2 0) into 0 104.807 * [backup-simplify]: Simplify 0 into 0 104.807 * [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))) 104.808 * [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)))) 104.809 * [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))) 104.810 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 104.811 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 104.811 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 104.812 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 104.813 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 104.813 * [backup-simplify]: Simplify (- 0) into 0 104.814 * [backup-simplify]: Simplify (+ 0 0) into 0 104.814 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 104.815 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) 104.816 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J)))) into (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) 104.816 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in K 104.816 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in K 104.816 * [taylor]: Taking taylor expansion of 1/4 in K 104.816 * [backup-simplify]: Simplify 1/4 into 1/4 104.816 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in K 104.816 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 104.816 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 104.816 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 104.816 * [taylor]: Taking taylor expansion of 1/2 in K 104.816 * [backup-simplify]: Simplify 1/2 into 1/2 104.816 * [taylor]: Taking taylor expansion of K in K 104.816 * [backup-simplify]: Simplify 0 into 0 104.816 * [backup-simplify]: Simplify 1 into 1 104.817 * [backup-simplify]: Simplify (* 1/2 0) into 0 104.817 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 104.817 * [taylor]: Taking taylor expansion of J in K 104.818 * [backup-simplify]: Simplify J into J 104.818 * [backup-simplify]: Simplify (* 1 J) into J 104.818 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J) 104.818 * [backup-simplify]: Simplify (* 1/4 (/ 1 J)) into (/ 1/4 J) 104.818 * [backup-simplify]: Simplify (- (/ 1/4 J)) into (- (* 1/4 (/ 1 J))) 104.818 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 J))) in J 104.818 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 J)) in J 104.818 * [taylor]: Taking taylor expansion of 1/4 in J 104.818 * [backup-simplify]: Simplify 1/4 into 1/4 104.818 * [taylor]: Taking taylor expansion of (/ 1 J) in J 104.818 * [taylor]: Taking taylor expansion of J in J 104.818 * [backup-simplify]: Simplify 0 into 0 104.818 * [backup-simplify]: Simplify 1 into 1 104.818 * [backup-simplify]: Simplify (/ 1 1) into 1 104.819 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 104.819 * [backup-simplify]: Simplify (- 1/4) into -1/4 104.819 * [backup-simplify]: Simplify -1/4 into -1/4 104.819 * [taylor]: Taking taylor expansion of 0 in J 104.819 * [backup-simplify]: Simplify 0 into 0 104.820 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 104.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 104.822 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J) 104.822 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 104.822 * [taylor]: Taking taylor expansion of 1/4 in J 104.822 * [backup-simplify]: Simplify 1/4 into 1/4 104.822 * [taylor]: Taking taylor expansion of J in J 104.822 * [backup-simplify]: Simplify 0 into 0 104.822 * [backup-simplify]: Simplify 1 into 1 104.822 * [backup-simplify]: Simplify 0 into 0 104.822 * [backup-simplify]: Simplify 0 into 0 104.823 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2 104.823 * [backup-simplify]: Simplify -2 into -2 104.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 104.824 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 104.824 * [backup-simplify]: Simplify (+ 0) into 0 104.825 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 104.825 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 104.826 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 104.826 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 104.827 * [backup-simplify]: Simplify (- 0) into 0 104.827 * [backup-simplify]: Simplify (+ 0 0) into 0 104.827 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 104.827 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 104.828 * [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 0 104.829 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 104.829 * [backup-simplify]: Simplify (+ 0 0) into 0 104.830 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 104.831 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 104.831 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 104.833 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 104.834 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 104.835 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 104.835 * [backup-simplify]: Simplify (- 0) into 0 104.836 * [backup-simplify]: Simplify (+ 0 0) into 0 104.836 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 104.837 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (+ (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1)))) into 0 104.838 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 104.838 * [taylor]: Taking taylor expansion of 0 in K 104.839 * [backup-simplify]: Simplify 0 into 0 104.839 * [taylor]: Taking taylor expansion of 0 in J 104.839 * [backup-simplify]: Simplify 0 into 0 104.839 * [backup-simplify]: Simplify (+ 0) into 0 104.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 104.840 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 104.840 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 J))) into 0 104.840 * [backup-simplify]: Simplify (- 0) into 0 104.840 * [taylor]: Taking taylor expansion of 0 in J 104.840 * [backup-simplify]: Simplify 0 into 0 104.840 * [taylor]: Taking taylor expansion of 0 in J 104.840 * [backup-simplify]: Simplify 0 into 0 104.842 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 104.843 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 104.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 104.845 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 104.845 * [taylor]: Taking taylor expansion of 0 in J 104.845 * [backup-simplify]: Simplify 0 into 0 104.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 104.847 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 104.847 * [backup-simplify]: Simplify (- 0) into 0 104.848 * [backup-simplify]: Simplify 0 into 0 104.848 * [backup-simplify]: Simplify 0 into 0 104.848 * [backup-simplify]: Simplify (* 1/4 0) into 0 104.848 * [backup-simplify]: Simplify 0 into 0 104.848 * [backup-simplify]: Simplify 0 into 0 104.848 * [backup-simplify]: Simplify 0 into 0 104.849 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 104.849 * [backup-simplify]: Simplify 0 into 0 104.850 * [backup-simplify]: Simplify (+ (* -2 (* J (* 1 1))) (* -1/4 (* (/ 1 J) (* 1 (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 104.851 * [backup-simplify]: Simplify (* (* (* (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) -2) (cos (/ (/ 1 K) 2))) (/ 1 J)) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 104.851 * [approximate]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in (U K J) around 0 104.851 * [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 104.851 * [taylor]: Taking taylor expansion of -2 in J 104.851 * [backup-simplify]: Simplify -2 into -2 104.851 * [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 104.851 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 104.851 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 104.851 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 104.851 * [taylor]: Taking taylor expansion of 1/4 in J 104.851 * [backup-simplify]: Simplify 1/4 into 1/4 104.851 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 104.851 * [taylor]: Taking taylor expansion of (pow J 2) in J 104.851 * [taylor]: Taking taylor expansion of J in J 104.851 * [backup-simplify]: Simplify 0 into 0 104.851 * [backup-simplify]: Simplify 1 into 1 104.851 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 104.851 * [taylor]: Taking taylor expansion of (pow U 2) in J 104.851 * [taylor]: Taking taylor expansion of U in J 104.851 * [backup-simplify]: Simplify U into U 104.851 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 104.851 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 104.851 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 104.851 * [taylor]: Taking taylor expansion of 1/2 in J 104.851 * [backup-simplify]: Simplify 1/2 into 1/2 104.851 * [taylor]: Taking taylor expansion of K in J 104.851 * [backup-simplify]: Simplify K into K 104.851 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 104.852 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 104.852 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 104.852 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 104.852 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 104.852 * [backup-simplify]: Simplify (- 0) into 0 104.852 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 104.853 * [backup-simplify]: Simplify (* 1 1) into 1 104.853 * [backup-simplify]: Simplify (* U U) into (pow U 2) 104.853 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 104.853 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 104.853 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 104.853 * [taylor]: Taking taylor expansion of 1 in J 104.853 * [backup-simplify]: Simplify 1 into 1 104.854 * [backup-simplify]: Simplify (+ 0 1) into 1 104.854 * [backup-simplify]: Simplify (sqrt 1) into 1 104.854 * [backup-simplify]: Simplify (+ 0 0) into 0 104.855 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 104.855 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 104.855 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 104.855 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 104.855 * [taylor]: Taking taylor expansion of 1/2 in J 104.855 * [backup-simplify]: Simplify 1/2 into 1/2 104.855 * [taylor]: Taking taylor expansion of K in J 104.855 * [backup-simplify]: Simplify K into K 104.856 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 104.856 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 104.856 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 104.856 * [taylor]: Taking taylor expansion of J in J 104.856 * [backup-simplify]: Simplify 0 into 0 104.856 * [backup-simplify]: Simplify 1 into 1 104.856 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 104.856 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 104.856 * [backup-simplify]: Simplify (- 0) into 0 104.856 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 104.857 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 104.857 * [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 104.857 * [taylor]: Taking taylor expansion of -2 in K 104.857 * [backup-simplify]: Simplify -2 into -2 104.857 * [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 104.857 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 104.857 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 104.857 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 104.857 * [taylor]: Taking taylor expansion of 1/4 in K 104.857 * [backup-simplify]: Simplify 1/4 into 1/4 104.857 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 104.857 * [taylor]: Taking taylor expansion of (pow J 2) in K 104.857 * [taylor]: Taking taylor expansion of J in K 104.857 * [backup-simplify]: Simplify J into J 104.857 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 104.857 * [taylor]: Taking taylor expansion of (pow U 2) in K 104.857 * [taylor]: Taking taylor expansion of U in K 104.857 * [backup-simplify]: Simplify U into U 104.857 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 104.857 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 104.857 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 104.857 * [taylor]: Taking taylor expansion of 1/2 in K 104.857 * [backup-simplify]: Simplify 1/2 into 1/2 104.857 * [taylor]: Taking taylor expansion of K in K 104.857 * [backup-simplify]: Simplify 0 into 0 104.857 * [backup-simplify]: Simplify 1 into 1 104.858 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 104.858 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 104.858 * [backup-simplify]: Simplify (* J J) into (pow J 2) 104.858 * [backup-simplify]: Simplify (* U U) into (pow U 2) 104.858 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 104.858 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 104.858 * [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))) 104.858 * [taylor]: Taking taylor expansion of 1 in K 104.858 * [backup-simplify]: Simplify 1 into 1 104.859 * [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)))) 104.859 * [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) 104.860 * [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)) 104.860 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 104.860 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 104.860 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 104.860 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 104.861 * [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 0 104.861 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 104.862 * [backup-simplify]: Simplify (+ 0 0) into 0 104.863 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 104.863 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 104.863 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 104.863 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 104.863 * [taylor]: Taking taylor expansion of 1/2 in K 104.863 * [backup-simplify]: Simplify 1/2 into 1/2 104.863 * [taylor]: Taking taylor expansion of K in K 104.863 * [backup-simplify]: Simplify 0 into 0 104.863 * [backup-simplify]: Simplify 1 into 1 104.863 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 104.863 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 104.863 * [taylor]: Taking taylor expansion of J in K 104.863 * [backup-simplify]: Simplify J into J 104.864 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 104.864 * [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 104.864 * [taylor]: Taking taylor expansion of -2 in U 104.864 * [backup-simplify]: Simplify -2 into -2 104.864 * [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 104.864 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 104.864 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 104.864 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 104.864 * [taylor]: Taking taylor expansion of 1/4 in U 104.864 * [backup-simplify]: Simplify 1/4 into 1/4 104.864 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 104.864 * [taylor]: Taking taylor expansion of (pow J 2) in U 104.864 * [taylor]: Taking taylor expansion of J in U 104.864 * [backup-simplify]: Simplify J into J 104.864 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 104.864 * [taylor]: Taking taylor expansion of (pow U 2) in U 104.864 * [taylor]: Taking taylor expansion of U in U 104.864 * [backup-simplify]: Simplify 0 into 0 104.864 * [backup-simplify]: Simplify 1 into 1 104.864 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 104.864 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 104.864 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 104.864 * [taylor]: Taking taylor expansion of 1/2 in U 104.864 * [backup-simplify]: Simplify 1/2 into 1/2 104.864 * [taylor]: Taking taylor expansion of K in U 104.864 * [backup-simplify]: Simplify K into K 104.864 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 104.864 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 104.864 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 104.865 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 104.865 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 104.865 * [backup-simplify]: Simplify (- 0) into 0 104.865 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 104.865 * [backup-simplify]: Simplify (* J J) into (pow J 2) 104.866 * [backup-simplify]: Simplify (* 1 1) into 1 104.866 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 104.866 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 104.866 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 104.866 * [taylor]: Taking taylor expansion of 1 in U 104.866 * [backup-simplify]: Simplify 1 into 1 104.866 * [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))) 104.867 * [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))) 104.867 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 104.867 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 104.867 * [backup-simplify]: Simplify (+ 0) into 0 104.868 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 104.868 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 104.869 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 104.869 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 104.870 * [backup-simplify]: Simplify (- 0) into 0 104.870 * [backup-simplify]: Simplify (+ 0 0) into 0 104.870 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 104.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 104.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 104.872 * [backup-simplify]: 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 0 104.872 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 104.873 * [backup-simplify]: Simplify (+ 0 0) into 0 104.873 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 104.873 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 104.873 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 104.873 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 104.873 * [taylor]: Taking taylor expansion of 1/2 in U 104.873 * [backup-simplify]: Simplify 1/2 into 1/2 104.873 * [taylor]: Taking taylor expansion of K in U 104.873 * [backup-simplify]: Simplify K into K 104.873 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 104.873 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 104.873 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 104.873 * [taylor]: Taking taylor expansion of J in U 104.873 * [backup-simplify]: Simplify J into J 104.873 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 104.874 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 104.874 * [backup-simplify]: Simplify (- 0) into 0 104.874 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 104.874 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 104.874 * [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 104.874 * [taylor]: Taking taylor expansion of -2 in U 104.874 * [backup-simplify]: Simplify -2 into -2 104.874 * [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 104.874 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 104.874 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 104.874 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 104.874 * [taylor]: Taking taylor expansion of 1/4 in U 104.874 * [backup-simplify]: Simplify 1/4 into 1/4 104.874 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 104.874 * [taylor]: Taking taylor expansion of (pow J 2) in U 104.874 * [taylor]: Taking taylor expansion of J in U 104.875 * [backup-simplify]: Simplify J into J 104.875 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 104.875 * [taylor]: Taking taylor expansion of (pow U 2) in U 104.875 * [taylor]: Taking taylor expansion of U in U 104.875 * [backup-simplify]: Simplify 0 into 0 104.875 * [backup-simplify]: Simplify 1 into 1 104.875 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 104.875 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 104.875 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 104.875 * [taylor]: Taking taylor expansion of 1/2 in U 104.875 * [backup-simplify]: Simplify 1/2 into 1/2 104.875 * [taylor]: Taking taylor expansion of K in U 104.875 * [backup-simplify]: Simplify K into K 104.875 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 104.875 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 104.875 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 104.875 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 104.875 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 104.876 * [backup-simplify]: Simplify (- 0) into 0 104.876 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 104.876 * [backup-simplify]: Simplify (* J J) into (pow J 2) 104.876 * [backup-simplify]: Simplify (* 1 1) into 1 104.877 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 104.877 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 104.877 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 104.877 * [taylor]: Taking taylor expansion of 1 in U 104.877 * [backup-simplify]: Simplify 1 into 1 104.877 * [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))) 104.877 * [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))) 104.878 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 104.878 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 104.878 * [backup-simplify]: Simplify (+ 0) into 0 104.879 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 104.879 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 104.880 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 104.880 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 104.880 * [backup-simplify]: Simplify (- 0) into 0 104.881 * [backup-simplify]: Simplify (+ 0 0) into 0 104.881 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 104.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 104.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 104.882 * [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 0 104.883 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 104.883 * [backup-simplify]: Simplify (+ 0 0) into 0 104.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 104.883 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 104.883 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 104.883 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 104.883 * [taylor]: Taking taylor expansion of 1/2 in U 104.883 * [backup-simplify]: Simplify 1/2 into 1/2 104.883 * [taylor]: Taking taylor expansion of K in U 104.883 * [backup-simplify]: Simplify K into K 104.883 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 104.883 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 104.883 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 104.883 * [taylor]: Taking taylor expansion of J in U 104.883 * [backup-simplify]: Simplify J into J 104.883 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 104.883 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 104.884 * [backup-simplify]: Simplify (- 0) into 0 104.884 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 104.884 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 104.884 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2 104.884 * [backup-simplify]: Simplify (* -2 1/2) into -1 104.884 * [taylor]: Taking taylor expansion of -1 in K 104.884 * [backup-simplify]: Simplify -1 into -1 104.884 * [taylor]: Taking taylor expansion of -1 in J 104.884 * [backup-simplify]: Simplify -1 into -1 104.885 * [backup-simplify]: Simplify (+ 0) into 0 104.885 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 104.885 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 104.886 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 104.886 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 104.886 * [backup-simplify]: Simplify (- 0) into 0 104.886 * [backup-simplify]: Simplify (+ 0 0) into 0 104.886 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 104.887 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 104.887 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 104.887 * [taylor]: Taking taylor expansion of 0 in K 104.887 * [backup-simplify]: Simplify 0 into 0 104.887 * [taylor]: Taking taylor expansion of 0 in J 104.887 * [backup-simplify]: Simplify 0 into 0 104.887 * [taylor]: Taking taylor expansion of 0 in J 104.887 * [backup-simplify]: Simplify 0 into 0 104.887 * [backup-simplify]: Simplify -1 into -1 104.888 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 104.888 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 104.888 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 104.889 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 104.889 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 104.889 * [backup-simplify]: Simplify (- 0) into 0 104.890 * [backup-simplify]: Simplify (+ 0 0) into 0 104.890 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 104.890 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 104.891 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 104.891 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 104.891 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 104.892 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 104.895 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 104.895 * [backup-simplify]: Simplify (- 0) into 0 104.896 * [backup-simplify]: Simplify (+ 0 0) into 0 104.896 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 104.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 104.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 104.898 * [backup-simplify]: 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 0 104.898 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 104.899 * [backup-simplify]: Simplify (+ 0 1) into 1 104.899 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 104.900 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (/ (cos (/ 1/2 K)) J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 104.900 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 104.900 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in K 104.900 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in K 104.900 * [taylor]: Taking taylor expansion of 2 in K 104.900 * [backup-simplify]: Simplify 2 into 2 104.900 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in K 104.900 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 104.900 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 104.900 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 104.900 * [taylor]: Taking taylor expansion of 1/2 in K 104.900 * [backup-simplify]: Simplify 1/2 into 1/2 104.900 * [taylor]: Taking taylor expansion of K in K 104.900 * [backup-simplify]: Simplify 0 into 0 104.900 * [backup-simplify]: Simplify 1 into 1 104.901 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 104.901 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 104.901 * [taylor]: Taking taylor expansion of (pow J 2) in K 104.901 * [taylor]: Taking taylor expansion of J in K 104.901 * [backup-simplify]: Simplify J into J 104.901 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 104.901 * [backup-simplify]: Simplify (* J J) into (pow J 2) 104.901 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 104.901 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 104.901 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 104.901 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 104.901 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 104.901 * [taylor]: Taking taylor expansion of 2 in J 104.901 * [backup-simplify]: Simplify 2 into 2 104.901 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 104.901 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 104.901 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 104.901 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 104.901 * [taylor]: Taking taylor expansion of 1/2 in J 104.901 * [backup-simplify]: Simplify 1/2 into 1/2 104.901 * [taylor]: Taking taylor expansion of K in J 104.901 * [backup-simplify]: Simplify K into K 104.901 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 104.902 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 104.902 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 104.902 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 104.902 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 104.902 * [backup-simplify]: Simplify (- 0) into 0 104.902 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 104.902 * [taylor]: Taking taylor expansion of (pow J 2) in J 104.902 * [taylor]: Taking taylor expansion of J in J 104.902 * [backup-simplify]: Simplify 0 into 0 104.902 * [backup-simplify]: Simplify 1 into 1 104.902 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 104.902 * [backup-simplify]: Simplify (* 1 1) into 1 104.902 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 104.903 * [backup-simplify]: Simplify (+ 0) into 0 104.903 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 104.903 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 104.904 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 104.904 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 104.904 * [backup-simplify]: Simplify (- 0) into 0 104.904 * [backup-simplify]: Simplify (+ 0 0) into 0 104.904 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 104.905 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 104.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 104.906 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 104.906 * [backup-simplify]: Simplify (- 0) into 0 104.906 * [backup-simplify]: Simplify 0 into 0 104.906 * [taylor]: Taking taylor expansion of 0 in J 104.906 * [backup-simplify]: Simplify 0 into 0 104.906 * [taylor]: Taking taylor expansion of 0 in J 104.906 * [backup-simplify]: Simplify 0 into 0 104.906 * [backup-simplify]: Simplify 0 into 0 104.906 * [backup-simplify]: Simplify 0 into 0 104.906 * [backup-simplify]: Simplify 0 into 0 104.907 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 104.907 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 104.907 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 104.908 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 104.909 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 104.909 * [backup-simplify]: Simplify (- 0) into 0 104.909 * [backup-simplify]: Simplify (+ 0 0) into 0 104.909 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 104.910 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 104.910 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 104.911 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 104.911 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 104.912 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 104.912 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 104.912 * [backup-simplify]: Simplify (- 0) into 0 104.913 * [backup-simplify]: Simplify (+ 0 0) into 0 104.913 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 104.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 104.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 104.916 * [backup-simplify]: 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 0 104.917 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 104.917 * [backup-simplify]: Simplify (+ 0 0) into 0 104.917 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 104.918 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0 104.919 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 104.919 * [taylor]: Taking taylor expansion of 0 in K 104.919 * [backup-simplify]: Simplify 0 into 0 104.919 * [taylor]: Taking taylor expansion of 0 in J 104.919 * [backup-simplify]: Simplify 0 into 0 104.920 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 104.920 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 104.920 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 104.921 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into 0 104.921 * [backup-simplify]: Simplify (- 0) into 0 104.921 * [taylor]: Taking taylor expansion of 0 in J 104.921 * [backup-simplify]: Simplify 0 into 0 104.921 * [taylor]: Taking taylor expansion of 0 in J 104.921 * [backup-simplify]: Simplify 0 into 0 104.921 * [taylor]: Taking taylor expansion of 0 in J 104.921 * [backup-simplify]: Simplify 0 into 0 104.922 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 104.923 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 104.923 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 104.924 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 104.924 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 104.925 * [backup-simplify]: Simplify (- 0) into 0 104.925 * [backup-simplify]: Simplify (+ 0 0) into 0 104.926 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 104.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 104.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 104.929 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 104.930 * [backup-simplify]: Simplify (- 0) into 0 104.930 * [backup-simplify]: Simplify 0 into 0 104.930 * [backup-simplify]: Simplify 0 into 0 104.930 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 104.931 * [backup-simplify]: Simplify (* (* (* (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) -2) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- J))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 104.931 * [approximate]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in (U K J) around 0 104.931 * [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 104.931 * [taylor]: Taking taylor expansion of 2 in J 104.931 * [backup-simplify]: Simplify 2 into 2 104.931 * [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 104.931 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 104.931 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 104.931 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 104.931 * [taylor]: Taking taylor expansion of -1/2 in J 104.931 * [backup-simplify]: Simplify -1/2 into -1/2 104.931 * [taylor]: Taking taylor expansion of K in J 104.931 * [backup-simplify]: Simplify K into K 104.931 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 104.932 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 104.932 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 104.932 * [taylor]: Taking taylor expansion of J in J 104.932 * [backup-simplify]: Simplify 0 into 0 104.932 * [backup-simplify]: Simplify 1 into 1 104.932 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 104.932 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 104.932 * [backup-simplify]: Simplify (- 0) into 0 104.932 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 104.932 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 104.933 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 104.933 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 104.933 * [taylor]: Taking taylor expansion of 1 in J 104.933 * [backup-simplify]: Simplify 1 into 1 104.933 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 104.933 * [taylor]: Taking taylor expansion of 1/4 in J 104.933 * [backup-simplify]: Simplify 1/4 into 1/4 104.933 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 104.933 * [taylor]: Taking taylor expansion of (pow J 2) in J 104.933 * [taylor]: Taking taylor expansion of J in J 104.933 * [backup-simplify]: Simplify 0 into 0 104.933 * [backup-simplify]: Simplify 1 into 1 104.933 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 104.933 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 104.933 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 104.933 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 104.933 * [taylor]: Taking taylor expansion of -1/2 in J 104.933 * [backup-simplify]: Simplify -1/2 into -1/2 104.933 * [taylor]: Taking taylor expansion of K in J 104.933 * [backup-simplify]: Simplify K into K 104.933 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 104.933 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 104.933 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 104.933 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 104.933 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 104.934 * [backup-simplify]: Simplify (- 0) into 0 104.934 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 104.934 * [taylor]: Taking taylor expansion of (pow U 2) in J 104.934 * [taylor]: Taking taylor expansion of U in J 104.934 * [backup-simplify]: Simplify U into U 104.934 * [backup-simplify]: Simplify (* 1 1) into 1 104.935 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 104.935 * [backup-simplify]: Simplify (* U U) into (pow U 2) 104.935 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 104.935 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 104.935 * [backup-simplify]: Simplify (+ 1 0) into 1 104.936 * [backup-simplify]: Simplify (sqrt 1) into 1 104.936 * [backup-simplify]: Simplify (+ 0 0) into 0 104.937 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 104.937 * [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 104.937 * [taylor]: Taking taylor expansion of 2 in K 104.937 * [backup-simplify]: Simplify 2 into 2 104.937 * [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 104.937 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 104.937 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 104.937 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 104.937 * [taylor]: Taking taylor expansion of -1/2 in K 104.937 * [backup-simplify]: Simplify -1/2 into -1/2 104.937 * [taylor]: Taking taylor expansion of K in K 104.937 * [backup-simplify]: Simplify 0 into 0 104.937 * [backup-simplify]: Simplify 1 into 1 104.938 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 104.938 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 104.938 * [taylor]: Taking taylor expansion of J in K 104.938 * [backup-simplify]: Simplify J into J 104.938 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 104.938 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 104.938 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 104.938 * [taylor]: Taking taylor expansion of 1 in K 104.938 * [backup-simplify]: Simplify 1 into 1 104.938 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 104.938 * [taylor]: Taking taylor expansion of 1/4 in K 104.938 * [backup-simplify]: Simplify 1/4 into 1/4 104.938 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 104.938 * [taylor]: Taking taylor expansion of (pow J 2) in K 104.938 * [taylor]: Taking taylor expansion of J in K 104.938 * [backup-simplify]: Simplify J into J 104.938 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 104.938 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 104.938 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 104.938 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 104.938 * [taylor]: Taking taylor expansion of -1/2 in K 104.938 * [backup-simplify]: Simplify -1/2 into -1/2 104.938 * [taylor]: Taking taylor expansion of K in K 104.939 * [backup-simplify]: Simplify 0 into 0 104.939 * [backup-simplify]: Simplify 1 into 1 104.939 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 104.939 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 104.939 * [taylor]: Taking taylor expansion of (pow U 2) in K 104.939 * [taylor]: Taking taylor expansion of U in K 104.939 * [backup-simplify]: Simplify U into U 104.939 * [backup-simplify]: Simplify (* J J) into (pow J 2) 104.939 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 104.939 * [backup-simplify]: Simplify (* U U) into (pow U 2) 104.940 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 104.940 * [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))) 104.940 * [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)))) 104.940 * [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))))) 104.941 * [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)))))) 104.941 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 104.941 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 104.941 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 104.941 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 104.942 * [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 0 104.943 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 104.943 * [backup-simplify]: Simplify (+ 0 0) into 0 104.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 104.944 * [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 104.944 * [taylor]: Taking taylor expansion of 2 in U 104.944 * [backup-simplify]: Simplify 2 into 2 104.944 * [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 104.944 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 104.944 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 104.944 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 104.944 * [taylor]: Taking taylor expansion of -1/2 in U 104.944 * [backup-simplify]: Simplify -1/2 into -1/2 104.944 * [taylor]: Taking taylor expansion of K in U 104.944 * [backup-simplify]: Simplify K into K 104.944 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 104.944 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 104.944 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 104.944 * [taylor]: Taking taylor expansion of J in U 104.944 * [backup-simplify]: Simplify J into J 104.944 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 104.944 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 104.945 * [backup-simplify]: Simplify (- 0) into 0 104.945 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 104.945 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 104.945 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 104.945 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 104.945 * [taylor]: Taking taylor expansion of 1 in U 104.945 * [backup-simplify]: Simplify 1 into 1 104.945 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 104.945 * [taylor]: Taking taylor expansion of 1/4 in U 104.945 * [backup-simplify]: Simplify 1/4 into 1/4 104.945 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 104.945 * [taylor]: Taking taylor expansion of (pow J 2) in U 104.945 * [taylor]: Taking taylor expansion of J in U 104.945 * [backup-simplify]: Simplify J into J 104.945 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 104.945 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 104.945 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 104.945 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 104.945 * [taylor]: Taking taylor expansion of -1/2 in U 104.945 * [backup-simplify]: Simplify -1/2 into -1/2 104.945 * [taylor]: Taking taylor expansion of K in U 104.946 * [backup-simplify]: Simplify K into K 104.946 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 104.946 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 104.946 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 104.946 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 104.946 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 104.946 * [backup-simplify]: Simplify (- 0) into 0 104.947 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 104.947 * [taylor]: Taking taylor expansion of (pow U 2) in U 104.947 * [taylor]: Taking taylor expansion of U in U 104.947 * [backup-simplify]: Simplify 0 into 0 104.947 * [backup-simplify]: Simplify 1 into 1 104.947 * [backup-simplify]: Simplify (* J J) into (pow J 2) 104.947 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 104.947 * [backup-simplify]: Simplify (* 1 1) into 1 104.948 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 104.948 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 104.948 * [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))) 104.948 * [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))) 104.948 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 104.949 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 104.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 104.950 * [backup-simplify]: Simplify (+ 0) into 0 104.950 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 104.951 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 104.951 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 104.952 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 104.952 * [backup-simplify]: Simplify (- 0) into 0 104.952 * [backup-simplify]: Simplify (+ 0 0) into 0 104.953 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 104.953 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 104.954 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 104.954 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 104.955 * [backup-simplify]: Simplify (+ 0 0) into 0 104.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 104.955 * [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 104.955 * [taylor]: Taking taylor expansion of 2 in U 104.955 * [backup-simplify]: Simplify 2 into 2 104.955 * [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 104.955 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 104.955 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 104.955 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 104.955 * [taylor]: Taking taylor expansion of -1/2 in U 104.955 * [backup-simplify]: Simplify -1/2 into -1/2 104.955 * [taylor]: Taking taylor expansion of K in U 104.955 * [backup-simplify]: Simplify K into K 104.955 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 104.955 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 104.955 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 104.955 * [taylor]: Taking taylor expansion of J in U 104.956 * [backup-simplify]: Simplify J into J 104.956 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 104.956 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 104.956 * [backup-simplify]: Simplify (- 0) into 0 104.956 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 104.956 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 104.956 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 104.956 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 104.956 * [taylor]: Taking taylor expansion of 1 in U 104.956 * [backup-simplify]: Simplify 1 into 1 104.956 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 104.956 * [taylor]: Taking taylor expansion of 1/4 in U 104.956 * [backup-simplify]: Simplify 1/4 into 1/4 104.956 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 104.957 * [taylor]: Taking taylor expansion of (pow J 2) in U 104.957 * [taylor]: Taking taylor expansion of J in U 104.957 * [backup-simplify]: Simplify J into J 104.957 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 104.957 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 104.957 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 104.957 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 104.957 * [taylor]: Taking taylor expansion of -1/2 in U 104.957 * [backup-simplify]: Simplify -1/2 into -1/2 104.957 * [taylor]: Taking taylor expansion of K in U 104.957 * [backup-simplify]: Simplify K into K 104.957 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 104.957 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 104.957 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 104.957 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 104.957 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 104.958 * [backup-simplify]: Simplify (- 0) into 0 104.958 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 104.958 * [taylor]: Taking taylor expansion of (pow U 2) in U 104.958 * [taylor]: Taking taylor expansion of U in U 104.958 * [backup-simplify]: Simplify 0 into 0 104.958 * [backup-simplify]: Simplify 1 into 1 104.958 * [backup-simplify]: Simplify (* J J) into (pow J 2) 104.958 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 104.958 * [backup-simplify]: Simplify (* 1 1) into 1 104.958 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 104.959 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 104.959 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 104.959 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 104.959 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 104.959 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 104.960 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 104.960 * [backup-simplify]: Simplify (+ 0) into 0 104.961 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 104.961 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 104.962 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 104.962 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 104.963 * [backup-simplify]: Simplify (- 0) into 0 104.963 * [backup-simplify]: Simplify (+ 0 0) into 0 104.963 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 104.964 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 104.964 * [backup-simplify]: 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 0 104.965 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 104.965 * [backup-simplify]: Simplify (+ 0 0) into 0 104.966 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 104.966 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2 104.966 * [backup-simplify]: Simplify (* 2 1/2) into 1 104.966 * [taylor]: Taking taylor expansion of 1 in K 104.966 * [backup-simplify]: Simplify 1 into 1 104.966 * [taylor]: Taking taylor expansion of 1 in J 104.966 * [backup-simplify]: Simplify 1 into 1 104.967 * [backup-simplify]: Simplify (+ 0) into 0 104.967 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 104.967 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 104.968 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 104.969 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 104.969 * [backup-simplify]: Simplify (- 0) into 0 104.969 * [backup-simplify]: Simplify (+ 0 0) into 0 104.970 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 104.970 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 104.971 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 104.971 * [taylor]: Taking taylor expansion of 0 in K 104.971 * [backup-simplify]: Simplify 0 into 0 104.971 * [taylor]: Taking taylor expansion of 0 in J 104.971 * [backup-simplify]: Simplify 0 into 0 104.971 * [taylor]: Taking taylor expansion of 0 in J 104.971 * [backup-simplify]: Simplify 0 into 0 104.971 * [backup-simplify]: Simplify 1 into 1 104.971 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 104.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 104.973 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 104.974 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 104.974 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 104.975 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 104.975 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 104.976 * [backup-simplify]: Simplify (- 0) into 0 104.976 * [backup-simplify]: Simplify (+ 0 0) into 0 104.977 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 104.977 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 104.978 * [backup-simplify]: 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 0 104.979 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 104.979 * [backup-simplify]: Simplify (+ 1 0) into 1 104.980 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 104.981 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 104.982 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 104.982 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 104.983 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 104.983 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 104.983 * [backup-simplify]: Simplify (- 0) into 0 104.984 * [backup-simplify]: Simplify (+ 0 0) into 0 104.984 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 104.985 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 104.986 * [backup-simplify]: Simplify (+ (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 104.986 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in K 104.986 * [taylor]: Taking taylor expansion of 2 in K 104.986 * [backup-simplify]: Simplify 2 into 2 104.986 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in K 104.986 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 104.986 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 104.986 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 104.986 * [taylor]: Taking taylor expansion of -1/2 in K 104.986 * [backup-simplify]: Simplify -1/2 into -1/2 104.986 * [taylor]: Taking taylor expansion of K in K 104.986 * [backup-simplify]: Simplify 0 into 0 104.986 * [backup-simplify]: Simplify 1 into 1 104.987 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 104.987 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 104.987 * [taylor]: Taking taylor expansion of (pow J 2) in K 104.987 * [taylor]: Taking taylor expansion of J in K 104.987 * [backup-simplify]: Simplify J into J 104.987 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 104.987 * [backup-simplify]: Simplify (* J J) into (pow J 2) 104.987 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 104.988 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 104.988 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 104.988 * [taylor]: Taking taylor expansion of 2 in J 104.988 * [backup-simplify]: Simplify 2 into 2 104.988 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 104.988 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 104.988 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 104.988 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 104.988 * [taylor]: Taking taylor expansion of -1/2 in J 104.988 * [backup-simplify]: Simplify -1/2 into -1/2 104.988 * [taylor]: Taking taylor expansion of K in J 104.988 * [backup-simplify]: Simplify K into K 104.988 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 104.988 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 104.988 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 104.988 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 104.988 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 104.989 * [backup-simplify]: Simplify (- 0) into 0 104.989 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 104.989 * [taylor]: Taking taylor expansion of (pow J 2) in J 104.989 * [taylor]: Taking taylor expansion of J in J 104.989 * [backup-simplify]: Simplify 0 into 0 104.989 * [backup-simplify]: Simplify 1 into 1 104.989 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 104.989 * [backup-simplify]: Simplify (* 1 1) into 1 104.989 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 104.990 * [backup-simplify]: Simplify (+ 0) into 0 104.990 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 104.991 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 104.991 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 104.992 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 104.992 * [backup-simplify]: Simplify (- 0) into 0 104.992 * [backup-simplify]: Simplify (+ 0 0) into 0 104.993 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 104.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 104.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 104.995 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 104.995 * [backup-simplify]: Simplify 0 into 0 104.995 * [taylor]: Taking taylor expansion of 0 in J 104.995 * [backup-simplify]: Simplify 0 into 0 104.995 * [taylor]: Taking taylor expansion of 0 in J 104.995 * [backup-simplify]: Simplify 0 into 0 104.995 * [backup-simplify]: Simplify 0 into 0 104.995 * [backup-simplify]: Simplify 0 into 0 104.995 * [backup-simplify]: Simplify 0 into 0 104.996 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 104.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 104.998 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 104.999 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 104.999 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 105.000 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 105.001 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 105.001 * [backup-simplify]: Simplify (- 0) into 0 105.002 * [backup-simplify]: Simplify (+ 0 0) into 0 105.003 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 105.003 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 105.004 * [backup-simplify]: 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 0 105.005 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 105.006 * [backup-simplify]: Simplify (+ 0 0) into 0 105.006 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 105.007 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 105.008 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 105.008 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 105.010 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 105.010 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 105.011 * [backup-simplify]: Simplify (- 0) into 0 105.011 * [backup-simplify]: Simplify (+ 0 0) into 0 105.011 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 105.012 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 105.013 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 105.013 * [taylor]: Taking taylor expansion of 0 in K 105.013 * [backup-simplify]: Simplify 0 into 0 105.013 * [taylor]: Taking taylor expansion of 0 in J 105.013 * [backup-simplify]: Simplify 0 into 0 105.013 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 105.014 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 105.014 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 105.014 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) into 0 105.015 * [taylor]: Taking taylor expansion of 0 in J 105.015 * [backup-simplify]: Simplify 0 into 0 105.015 * [taylor]: Taking taylor expansion of 0 in J 105.015 * [backup-simplify]: Simplify 0 into 0 105.015 * [taylor]: Taking taylor expansion of 0 in J 105.015 * [backup-simplify]: Simplify 0 into 0 105.015 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 105.016 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 105.016 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 105.016 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 105.016 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 105.017 * [backup-simplify]: Simplify (- 0) into 0 105.017 * [backup-simplify]: Simplify (+ 0 0) into 0 105.017 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 105.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 105.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 105.019 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 105.019 * [backup-simplify]: Simplify 0 into 0 105.019 * [backup-simplify]: Simplify 0 into 0 105.019 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 105.019 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 105.020 * [backup-simplify]: Simplify (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) 105.020 * [approximate]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in (U K J) around 0 105.020 * [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 105.020 * [taylor]: Taking taylor expansion of -2 in J 105.020 * [backup-simplify]: Simplify -2 into -2 105.020 * [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 105.020 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 105.020 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 105.020 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 105.020 * [taylor]: Taking taylor expansion of 1/2 in J 105.020 * [backup-simplify]: Simplify 1/2 into 1/2 105.020 * [taylor]: Taking taylor expansion of K in J 105.020 * [backup-simplify]: Simplify K into K 105.020 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 105.020 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 105.020 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 105.020 * [taylor]: Taking taylor expansion of J in J 105.020 * [backup-simplify]: Simplify 0 into 0 105.020 * [backup-simplify]: Simplify 1 into 1 105.020 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 105.020 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 105.020 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 105.020 * [taylor]: Taking taylor expansion of 1/4 in J 105.020 * [backup-simplify]: Simplify 1/4 into 1/4 105.020 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 105.020 * [taylor]: Taking taylor expansion of (pow U 2) in J 105.020 * [taylor]: Taking taylor expansion of U in J 105.020 * [backup-simplify]: Simplify U into U 105.020 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 105.020 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 105.020 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 105.020 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 105.020 * [taylor]: Taking taylor expansion of 1/2 in J 105.020 * [backup-simplify]: Simplify 1/2 into 1/2 105.020 * [taylor]: Taking taylor expansion of K in J 105.020 * [backup-simplify]: Simplify K into K 105.020 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 105.021 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 105.021 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 105.021 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 105.021 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 105.021 * [backup-simplify]: Simplify (- 0) into 0 105.021 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 105.021 * [taylor]: Taking taylor expansion of (pow J 2) in J 105.021 * [taylor]: Taking taylor expansion of J in J 105.021 * [backup-simplify]: Simplify 0 into 0 105.021 * [backup-simplify]: Simplify 1 into 1 105.021 * [backup-simplify]: Simplify (* U U) into (pow U 2) 105.021 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 105.021 * [backup-simplify]: Simplify (* 1 1) into 1 105.021 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 105.022 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 105.022 * [taylor]: Taking taylor expansion of 1 in J 105.022 * [backup-simplify]: Simplify 1 into 1 105.022 * [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))) 105.022 * [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))) 105.022 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 105.022 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 105.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 105.023 * [backup-simplify]: Simplify (+ 0) into 0 105.023 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 105.027 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 105.028 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 105.028 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 105.028 * [backup-simplify]: Simplify (- 0) into 0 105.029 * [backup-simplify]: Simplify (+ 0 0) into 0 105.029 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 105.029 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 105.029 * [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 0 105.030 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 105.030 * [backup-simplify]: Simplify (+ 0 0) into 0 105.030 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 105.030 * [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 105.030 * [taylor]: Taking taylor expansion of -2 in K 105.030 * [backup-simplify]: Simplify -2 into -2 105.030 * [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 105.030 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 105.030 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 105.030 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 105.030 * [taylor]: Taking taylor expansion of 1/2 in K 105.030 * [backup-simplify]: Simplify 1/2 into 1/2 105.030 * [taylor]: Taking taylor expansion of K in K 105.031 * [backup-simplify]: Simplify 0 into 0 105.031 * [backup-simplify]: Simplify 1 into 1 105.031 * [backup-simplify]: Simplify (* 1/2 0) into 0 105.031 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 105.031 * [taylor]: Taking taylor expansion of J in K 105.031 * [backup-simplify]: Simplify J into J 105.031 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 105.031 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 105.031 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 105.031 * [taylor]: Taking taylor expansion of 1/4 in K 105.031 * [backup-simplify]: Simplify 1/4 into 1/4 105.031 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 105.031 * [taylor]: Taking taylor expansion of (pow U 2) in K 105.031 * [taylor]: Taking taylor expansion of U in K 105.031 * [backup-simplify]: Simplify U into U 105.031 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 105.031 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 105.031 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 105.031 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 105.032 * [taylor]: Taking taylor expansion of 1/2 in K 105.032 * [backup-simplify]: Simplify 1/2 into 1/2 105.032 * [taylor]: Taking taylor expansion of K in K 105.032 * [backup-simplify]: Simplify 0 into 0 105.032 * [backup-simplify]: Simplify 1 into 1 105.032 * [backup-simplify]: Simplify (* 1/2 0) into 0 105.032 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 105.032 * [taylor]: Taking taylor expansion of (pow J 2) in K 105.032 * [taylor]: Taking taylor expansion of J in K 105.032 * [backup-simplify]: Simplify J into J 105.032 * [backup-simplify]: Simplify (* U U) into (pow U 2) 105.033 * [backup-simplify]: Simplify (* 1 1) into 1 105.033 * [backup-simplify]: Simplify (* J J) into (pow J 2) 105.033 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 105.033 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 105.033 * [taylor]: Taking taylor expansion of 1 in K 105.033 * [backup-simplify]: Simplify 1 into 1 105.033 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 105.033 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 105.033 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 105.033 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 105.033 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 105.034 * [backup-simplify]: Simplify (+ 0) into 0 105.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 105.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 105.034 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 105.035 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 105.035 * [backup-simplify]: Simplify (+ 0 0) into 0 105.035 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 105.035 * [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 105.035 * [taylor]: Taking taylor expansion of -2 in U 105.035 * [backup-simplify]: Simplify -2 into -2 105.035 * [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 105.035 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 105.035 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 105.035 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 105.035 * [taylor]: Taking taylor expansion of 1/2 in U 105.035 * [backup-simplify]: Simplify 1/2 into 1/2 105.035 * [taylor]: Taking taylor expansion of K in U 105.035 * [backup-simplify]: Simplify K into K 105.035 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 105.035 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 105.035 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 105.036 * [taylor]: Taking taylor expansion of J in U 105.036 * [backup-simplify]: Simplify J into J 105.036 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 105.036 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 105.036 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 105.036 * [taylor]: Taking taylor expansion of 1/4 in U 105.036 * [backup-simplify]: Simplify 1/4 into 1/4 105.036 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 105.036 * [taylor]: Taking taylor expansion of (pow U 2) in U 105.036 * [taylor]: Taking taylor expansion of U in U 105.036 * [backup-simplify]: Simplify 0 into 0 105.036 * [backup-simplify]: Simplify 1 into 1 105.036 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 105.036 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 105.036 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 105.036 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 105.036 * [taylor]: Taking taylor expansion of 1/2 in U 105.036 * [backup-simplify]: Simplify 1/2 into 1/2 105.036 * [taylor]: Taking taylor expansion of K in U 105.036 * [backup-simplify]: Simplify K into K 105.036 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 105.036 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 105.036 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 105.036 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 105.036 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 105.036 * [backup-simplify]: Simplify (- 0) into 0 105.036 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 105.036 * [taylor]: Taking taylor expansion of (pow J 2) in U 105.036 * [taylor]: Taking taylor expansion of J in U 105.036 * [backup-simplify]: Simplify J into J 105.037 * [backup-simplify]: Simplify (* 1 1) into 1 105.037 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 105.037 * [backup-simplify]: Simplify (* J J) into (pow J 2) 105.037 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 105.037 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 105.037 * [taylor]: Taking taylor expansion of 1 in U 105.037 * [backup-simplify]: Simplify 1 into 1 105.037 * [backup-simplify]: Simplify (+ 0 1) into 1 105.037 * [backup-simplify]: Simplify (sqrt 1) into 1 105.038 * [backup-simplify]: Simplify (+ 0 0) into 0 105.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 105.038 * [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 105.038 * [taylor]: Taking taylor expansion of -2 in U 105.038 * [backup-simplify]: Simplify -2 into -2 105.038 * [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 105.038 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 105.038 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 105.038 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 105.038 * [taylor]: Taking taylor expansion of 1/2 in U 105.038 * [backup-simplify]: Simplify 1/2 into 1/2 105.038 * [taylor]: Taking taylor expansion of K in U 105.038 * [backup-simplify]: Simplify K into K 105.038 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 105.038 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 105.038 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 105.039 * [taylor]: Taking taylor expansion of J in U 105.039 * [backup-simplify]: Simplify J into J 105.039 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 105.039 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 105.039 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 105.039 * [taylor]: Taking taylor expansion of 1/4 in U 105.039 * [backup-simplify]: Simplify 1/4 into 1/4 105.039 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 105.039 * [taylor]: Taking taylor expansion of (pow U 2) in U 105.039 * [taylor]: Taking taylor expansion of U in U 105.039 * [backup-simplify]: Simplify 0 into 0 105.039 * [backup-simplify]: Simplify 1 into 1 105.039 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 105.039 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 105.039 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 105.039 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 105.039 * [taylor]: Taking taylor expansion of 1/2 in U 105.039 * [backup-simplify]: Simplify 1/2 into 1/2 105.039 * [taylor]: Taking taylor expansion of K in U 105.039 * [backup-simplify]: Simplify K into K 105.039 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 105.039 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 105.039 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 105.039 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 105.039 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 105.039 * [backup-simplify]: Simplify (- 0) into 0 105.039 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 105.039 * [taylor]: Taking taylor expansion of (pow J 2) in U 105.039 * [taylor]: Taking taylor expansion of J in U 105.039 * [backup-simplify]: Simplify J into J 105.040 * [backup-simplify]: Simplify (* 1 1) into 1 105.040 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 105.040 * [backup-simplify]: Simplify (* J J) into (pow J 2) 105.040 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 105.040 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 105.040 * [taylor]: Taking taylor expansion of 1 in U 105.040 * [backup-simplify]: Simplify 1 into 1 105.040 * [backup-simplify]: Simplify (+ 0 1) into 1 105.040 * [backup-simplify]: Simplify (sqrt 1) into 1 105.041 * [backup-simplify]: Simplify (+ 0 0) into 0 105.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 105.041 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 105.041 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 105.042 * [backup-simplify]: Simplify (- 0) into 0 105.042 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 105.042 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 105.042 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J) 105.042 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 105.042 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 105.042 * [taylor]: Taking taylor expansion of -2 in K 105.042 * [backup-simplify]: Simplify -2 into -2 105.042 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 105.042 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 105.042 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 105.042 * [taylor]: Taking taylor expansion of 1/2 in K 105.042 * [backup-simplify]: Simplify 1/2 into 1/2 105.042 * [taylor]: Taking taylor expansion of K in K 105.042 * [backup-simplify]: Simplify 0 into 0 105.042 * [backup-simplify]: Simplify 1 into 1 105.042 * [backup-simplify]: Simplify (* 1/2 0) into 0 105.043 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 105.043 * [taylor]: Taking taylor expansion of J in K 105.043 * [backup-simplify]: Simplify J into J 105.043 * [backup-simplify]: Simplify (* 1 J) into J 105.043 * [backup-simplify]: Simplify (* -2 J) into (* -2 J) 105.043 * [taylor]: Taking taylor expansion of (* -2 J) in J 105.043 * [taylor]: Taking taylor expansion of -2 in J 105.043 * [backup-simplify]: Simplify -2 into -2 105.043 * [taylor]: Taking taylor expansion of J in J 105.043 * [backup-simplify]: Simplify 0 into 0 105.043 * [backup-simplify]: Simplify 1 into 1 105.043 * [backup-simplify]: Simplify (+ 0) into 0 105.043 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 105.044 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 105.044 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 105.045 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 105.045 * [backup-simplify]: Simplify (- 0) into 0 105.045 * [backup-simplify]: Simplify (+ 0 0) into 0 105.045 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 105.045 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0 105.046 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 105.046 * [taylor]: Taking taylor expansion of 0 in K 105.046 * [backup-simplify]: Simplify 0 into 0 105.046 * [taylor]: Taking taylor expansion of 0 in J 105.046 * [backup-simplify]: Simplify 0 into 0 105.046 * [backup-simplify]: Simplify (+ 0) into 0 105.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 105.047 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0 105.047 * [taylor]: Taking taylor expansion of 0 in J 105.047 * [backup-simplify]: Simplify 0 into 0 105.047 * [backup-simplify]: Simplify (* -2 0) into 0 105.047 * [backup-simplify]: Simplify 0 into 0 105.047 * [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))) 105.048 * [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)))) 105.048 * [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))) 105.049 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 105.049 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 105.050 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 105.051 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 105.051 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 105.052 * [backup-simplify]: Simplify (- 0) into 0 105.052 * [backup-simplify]: Simplify (+ 0 0) into 0 105.052 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 105.053 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) 105.054 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J)))) into (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) 105.054 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in K 105.054 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in K 105.054 * [taylor]: Taking taylor expansion of 1/4 in K 105.054 * [backup-simplify]: Simplify 1/4 into 1/4 105.054 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in K 105.054 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 105.054 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 105.054 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 105.054 * [taylor]: Taking taylor expansion of 1/2 in K 105.054 * [backup-simplify]: Simplify 1/2 into 1/2 105.054 * [taylor]: Taking taylor expansion of K in K 105.054 * [backup-simplify]: Simplify 0 into 0 105.054 * [backup-simplify]: Simplify 1 into 1 105.055 * [backup-simplify]: Simplify (* 1/2 0) into 0 105.056 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 105.056 * [taylor]: Taking taylor expansion of J in K 105.056 * [backup-simplify]: Simplify J into J 105.056 * [backup-simplify]: Simplify (* 1 J) into J 105.056 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J) 105.056 * [backup-simplify]: Simplify (* 1/4 (/ 1 J)) into (/ 1/4 J) 105.056 * [backup-simplify]: Simplify (- (/ 1/4 J)) into (- (* 1/4 (/ 1 J))) 105.056 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 J))) in J 105.056 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 J)) in J 105.056 * [taylor]: Taking taylor expansion of 1/4 in J 105.056 * [backup-simplify]: Simplify 1/4 into 1/4 105.056 * [taylor]: Taking taylor expansion of (/ 1 J) in J 105.056 * [taylor]: Taking taylor expansion of J in J 105.056 * [backup-simplify]: Simplify 0 into 0 105.056 * [backup-simplify]: Simplify 1 into 1 105.056 * [backup-simplify]: Simplify (/ 1 1) into 1 105.057 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 105.057 * [backup-simplify]: Simplify (- 1/4) into -1/4 105.057 * [backup-simplify]: Simplify -1/4 into -1/4 105.057 * [taylor]: Taking taylor expansion of 0 in J 105.057 * [backup-simplify]: Simplify 0 into 0 105.058 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 105.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 105.060 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J) 105.060 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 105.060 * [taylor]: Taking taylor expansion of 1/4 in J 105.060 * [backup-simplify]: Simplify 1/4 into 1/4 105.060 * [taylor]: Taking taylor expansion of J in J 105.060 * [backup-simplify]: Simplify 0 into 0 105.060 * [backup-simplify]: Simplify 1 into 1 105.060 * [backup-simplify]: Simplify 0 into 0 105.060 * [backup-simplify]: Simplify 0 into 0 105.061 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2 105.061 * [backup-simplify]: Simplify -2 into -2 105.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 105.062 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 105.062 * [backup-simplify]: Simplify (+ 0) into 0 105.063 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 105.063 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 105.064 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 105.064 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 105.065 * [backup-simplify]: Simplify (- 0) into 0 105.065 * [backup-simplify]: Simplify (+ 0 0) into 0 105.065 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 105.065 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 105.066 * [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 0 105.067 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 105.067 * [backup-simplify]: Simplify (+ 0 0) into 0 105.068 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 105.069 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 105.069 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 105.071 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 105.072 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 105.073 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 105.073 * [backup-simplify]: Simplify (- 0) into 0 105.074 * [backup-simplify]: Simplify (+ 0 0) into 0 105.075 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 105.076 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (+ (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1)))) into 0 105.077 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 105.077 * [taylor]: Taking taylor expansion of 0 in K 105.077 * [backup-simplify]: Simplify 0 into 0 105.077 * [taylor]: Taking taylor expansion of 0 in J 105.077 * [backup-simplify]: Simplify 0 into 0 105.077 * [backup-simplify]: Simplify (+ 0) into 0 105.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 105.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 105.078 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 J))) into 0 105.079 * [backup-simplify]: Simplify (- 0) into 0 105.079 * [taylor]: Taking taylor expansion of 0 in J 105.079 * [backup-simplify]: Simplify 0 into 0 105.079 * [taylor]: Taking taylor expansion of 0 in J 105.079 * [backup-simplify]: Simplify 0 into 0 105.080 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 105.081 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 105.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 105.083 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 105.083 * [taylor]: Taking taylor expansion of 0 in J 105.083 * [backup-simplify]: Simplify 0 into 0 105.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 105.085 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 105.085 * [backup-simplify]: Simplify (- 0) into 0 105.085 * [backup-simplify]: Simplify 0 into 0 105.086 * [backup-simplify]: Simplify 0 into 0 105.086 * [backup-simplify]: Simplify (* 1/4 0) into 0 105.086 * [backup-simplify]: Simplify 0 into 0 105.086 * [backup-simplify]: Simplify 0 into 0 105.086 * [backup-simplify]: Simplify 0 into 0 105.087 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 105.087 * [backup-simplify]: Simplify 0 into 0 105.088 * [backup-simplify]: Simplify (+ (* -2 (* J (* 1 1))) (* -1/4 (* (/ 1 J) (* 1 (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 105.089 * [backup-simplify]: Simplify (* (* (* (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) -2) (cos (/ (/ 1 K) 2))) (/ 1 J)) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 105.089 * [approximate]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in (U K J) around 0 105.089 * [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 105.089 * [taylor]: Taking taylor expansion of -2 in J 105.089 * [backup-simplify]: Simplify -2 into -2 105.089 * [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 105.089 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 105.089 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 105.089 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 105.089 * [taylor]: Taking taylor expansion of 1/4 in J 105.089 * [backup-simplify]: Simplify 1/4 into 1/4 105.089 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 105.089 * [taylor]: Taking taylor expansion of (pow J 2) in J 105.089 * [taylor]: Taking taylor expansion of J in J 105.089 * [backup-simplify]: Simplify 0 into 0 105.089 * [backup-simplify]: Simplify 1 into 1 105.089 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 105.089 * [taylor]: Taking taylor expansion of (pow U 2) in J 105.089 * [taylor]: Taking taylor expansion of U in J 105.089 * [backup-simplify]: Simplify U into U 105.089 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 105.090 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 105.090 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 105.090 * [taylor]: Taking taylor expansion of 1/2 in J 105.090 * [backup-simplify]: Simplify 1/2 into 1/2 105.090 * [taylor]: Taking taylor expansion of K in J 105.090 * [backup-simplify]: Simplify K into K 105.090 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 105.090 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 105.090 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 105.090 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 105.090 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 105.091 * [backup-simplify]: Simplify (- 0) into 0 105.091 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 105.091 * [backup-simplify]: Simplify (* 1 1) into 1 105.091 * [backup-simplify]: Simplify (* U U) into (pow U 2) 105.091 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 105.091 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 105.092 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 105.092 * [taylor]: Taking taylor expansion of 1 in J 105.092 * [backup-simplify]: Simplify 1 into 1 105.092 * [backup-simplify]: Simplify (+ 0 1) into 1 105.092 * [backup-simplify]: Simplify (sqrt 1) into 1 105.093 * [backup-simplify]: Simplify (+ 0 0) into 0 105.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 105.094 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 105.094 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 105.094 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 105.094 * [taylor]: Taking taylor expansion of 1/2 in J 105.094 * [backup-simplify]: Simplify 1/2 into 1/2 105.094 * [taylor]: Taking taylor expansion of K in J 105.094 * [backup-simplify]: Simplify K into K 105.094 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 105.094 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 105.094 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 105.094 * [taylor]: Taking taylor expansion of J in J 105.094 * [backup-simplify]: Simplify 0 into 0 105.094 * [backup-simplify]: Simplify 1 into 1 105.094 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 105.094 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 105.095 * [backup-simplify]: Simplify (- 0) into 0 105.095 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 105.095 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 105.095 * [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 105.095 * [taylor]: Taking taylor expansion of -2 in K 105.095 * [backup-simplify]: Simplify -2 into -2 105.095 * [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 105.095 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 105.095 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 105.095 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 105.095 * [taylor]: Taking taylor expansion of 1/4 in K 105.095 * [backup-simplify]: Simplify 1/4 into 1/4 105.095 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 105.095 * [taylor]: Taking taylor expansion of (pow J 2) in K 105.095 * [taylor]: Taking taylor expansion of J in K 105.095 * [backup-simplify]: Simplify J into J 105.095 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 105.095 * [taylor]: Taking taylor expansion of (pow U 2) in K 105.095 * [taylor]: Taking taylor expansion of U in K 105.095 * [backup-simplify]: Simplify U into U 105.095 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 105.095 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 105.095 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 105.095 * [taylor]: Taking taylor expansion of 1/2 in K 105.095 * [backup-simplify]: Simplify 1/2 into 1/2 105.095 * [taylor]: Taking taylor expansion of K in K 105.095 * [backup-simplify]: Simplify 0 into 0 105.095 * [backup-simplify]: Simplify 1 into 1 105.096 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 105.096 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 105.096 * [backup-simplify]: Simplify (* J J) into (pow J 2) 105.096 * [backup-simplify]: Simplify (* U U) into (pow U 2) 105.096 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 105.096 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 105.097 * [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))) 105.097 * [taylor]: Taking taylor expansion of 1 in K 105.097 * [backup-simplify]: Simplify 1 into 1 105.097 * [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)))) 105.098 * [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) 105.098 * [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)) 105.098 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 105.098 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 105.098 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 105.098 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 105.099 * [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 0 105.099 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 105.099 * [backup-simplify]: Simplify (+ 0 0) into 0 105.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 105.100 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 105.100 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 105.100 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 105.100 * [taylor]: Taking taylor expansion of 1/2 in K 105.100 * [backup-simplify]: Simplify 1/2 into 1/2 105.100 * [taylor]: Taking taylor expansion of K in K 105.100 * [backup-simplify]: Simplify 0 into 0 105.100 * [backup-simplify]: Simplify 1 into 1 105.100 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 105.100 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 105.100 * [taylor]: Taking taylor expansion of J in K 105.100 * [backup-simplify]: Simplify J into J 105.100 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 105.100 * [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 105.100 * [taylor]: Taking taylor expansion of -2 in U 105.100 * [backup-simplify]: Simplify -2 into -2 105.100 * [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 105.100 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 105.100 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 105.100 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 105.100 * [taylor]: Taking taylor expansion of 1/4 in U 105.100 * [backup-simplify]: Simplify 1/4 into 1/4 105.100 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 105.100 * [taylor]: Taking taylor expansion of (pow J 2) in U 105.100 * [taylor]: Taking taylor expansion of J in U 105.100 * [backup-simplify]: Simplify J into J 105.100 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 105.100 * [taylor]: Taking taylor expansion of (pow U 2) in U 105.100 * [taylor]: Taking taylor expansion of U in U 105.100 * [backup-simplify]: Simplify 0 into 0 105.100 * [backup-simplify]: Simplify 1 into 1 105.100 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 105.101 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 105.101 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 105.101 * [taylor]: Taking taylor expansion of 1/2 in U 105.101 * [backup-simplify]: Simplify 1/2 into 1/2 105.101 * [taylor]: Taking taylor expansion of K in U 105.101 * [backup-simplify]: Simplify K into K 105.101 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 105.101 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 105.101 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 105.101 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 105.101 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 105.101 * [backup-simplify]: Simplify (- 0) into 0 105.101 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 105.101 * [backup-simplify]: Simplify (* J J) into (pow J 2) 105.101 * [backup-simplify]: Simplify (* 1 1) into 1 105.101 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 105.102 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 105.102 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 105.102 * [taylor]: Taking taylor expansion of 1 in U 105.102 * [backup-simplify]: Simplify 1 into 1 105.102 * [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))) 105.102 * [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))) 105.102 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 105.102 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 105.102 * [backup-simplify]: Simplify (+ 0) into 0 105.103 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 105.103 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 105.103 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 105.104 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 105.104 * [backup-simplify]: Simplify (- 0) into 0 105.104 * [backup-simplify]: Simplify (+ 0 0) into 0 105.104 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 105.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 105.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 105.105 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 105.105 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 105.106 * [backup-simplify]: Simplify (+ 0 0) into 0 105.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 105.106 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 105.106 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 105.106 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 105.106 * [taylor]: Taking taylor expansion of 1/2 in U 105.106 * [backup-simplify]: Simplify 1/2 into 1/2 105.106 * [taylor]: Taking taylor expansion of K in U 105.106 * [backup-simplify]: Simplify K into K 105.106 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 105.106 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 105.106 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 105.106 * [taylor]: Taking taylor expansion of J in U 105.106 * [backup-simplify]: Simplify J into J 105.106 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 105.106 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 105.106 * [backup-simplify]: Simplify (- 0) into 0 105.107 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 105.107 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 105.107 * [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 105.107 * [taylor]: Taking taylor expansion of -2 in U 105.107 * [backup-simplify]: Simplify -2 into -2 105.107 * [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 105.107 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 105.107 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 105.107 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 105.107 * [taylor]: Taking taylor expansion of 1/4 in U 105.107 * [backup-simplify]: Simplify 1/4 into 1/4 105.107 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 105.107 * [taylor]: Taking taylor expansion of (pow J 2) in U 105.107 * [taylor]: Taking taylor expansion of J in U 105.107 * [backup-simplify]: Simplify J into J 105.107 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 105.107 * [taylor]: Taking taylor expansion of (pow U 2) in U 105.107 * [taylor]: Taking taylor expansion of U in U 105.107 * [backup-simplify]: Simplify 0 into 0 105.107 * [backup-simplify]: Simplify 1 into 1 105.107 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 105.107 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 105.107 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 105.107 * [taylor]: Taking taylor expansion of 1/2 in U 105.107 * [backup-simplify]: Simplify 1/2 into 1/2 105.107 * [taylor]: Taking taylor expansion of K in U 105.107 * [backup-simplify]: Simplify K into K 105.107 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 105.107 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 105.107 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 105.107 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 105.107 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 105.107 * [backup-simplify]: Simplify (- 0) into 0 105.108 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 105.108 * [backup-simplify]: Simplify (* J J) into (pow J 2) 105.108 * [backup-simplify]: Simplify (* 1 1) into 1 105.108 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 105.108 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 105.108 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 105.108 * [taylor]: Taking taylor expansion of 1 in U 105.108 * [backup-simplify]: Simplify 1 into 1 105.108 * [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))) 105.108 * [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))) 105.109 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 105.109 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 105.109 * [backup-simplify]: Simplify (+ 0) into 0 105.109 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 105.109 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 105.110 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 105.110 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 105.110 * [backup-simplify]: Simplify (- 0) into 0 105.111 * [backup-simplify]: Simplify (+ 0 0) into 0 105.111 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 105.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 105.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 105.112 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 105.112 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 105.112 * [backup-simplify]: Simplify (+ 0 0) into 0 105.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 105.113 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 105.113 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 105.113 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 105.113 * [taylor]: Taking taylor expansion of 1/2 in U 105.113 * [backup-simplify]: Simplify 1/2 into 1/2 105.113 * [taylor]: Taking taylor expansion of K in U 105.113 * [backup-simplify]: Simplify K into K 105.113 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 105.113 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 105.113 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 105.113 * [taylor]: Taking taylor expansion of J in U 105.113 * [backup-simplify]: Simplify J into J 105.113 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 105.113 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 105.113 * [backup-simplify]: Simplify (- 0) into 0 105.113 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 105.113 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 105.113 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2 105.114 * [backup-simplify]: Simplify (* -2 1/2) into -1 105.114 * [taylor]: Taking taylor expansion of -1 in K 105.114 * [backup-simplify]: Simplify -1 into -1 105.114 * [taylor]: Taking taylor expansion of -1 in J 105.114 * [backup-simplify]: Simplify -1 into -1 105.114 * [backup-simplify]: Simplify (+ 0) into 0 105.114 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 105.114 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 105.115 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 105.115 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 105.115 * [backup-simplify]: Simplify (- 0) into 0 105.116 * [backup-simplify]: Simplify (+ 0 0) into 0 105.116 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 105.116 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 105.116 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 105.116 * [taylor]: Taking taylor expansion of 0 in K 105.116 * [backup-simplify]: Simplify 0 into 0 105.116 * [taylor]: Taking taylor expansion of 0 in J 105.116 * [backup-simplify]: Simplify 0 into 0 105.116 * [taylor]: Taking taylor expansion of 0 in J 105.116 * [backup-simplify]: Simplify 0 into 0 105.116 * [backup-simplify]: Simplify -1 into -1 105.117 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 105.117 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 105.118 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 105.118 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 105.118 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 105.119 * [backup-simplify]: Simplify (- 0) into 0 105.119 * [backup-simplify]: Simplify (+ 0 0) into 0 105.119 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 105.119 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 105.120 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 105.120 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 105.120 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 105.121 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 105.121 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 105.121 * [backup-simplify]: Simplify (- 0) into 0 105.122 * [backup-simplify]: Simplify (+ 0 0) into 0 105.122 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 105.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 105.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 105.123 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 105.124 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 105.124 * [backup-simplify]: Simplify (+ 0 1) into 1 105.125 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 105.125 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (/ (cos (/ 1/2 K)) J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 105.126 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 105.126 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in K 105.126 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in K 105.126 * [taylor]: Taking taylor expansion of 2 in K 105.126 * [backup-simplify]: Simplify 2 into 2 105.126 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in K 105.126 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 105.126 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 105.126 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 105.126 * [taylor]: Taking taylor expansion of 1/2 in K 105.126 * [backup-simplify]: Simplify 1/2 into 1/2 105.126 * [taylor]: Taking taylor expansion of K in K 105.126 * [backup-simplify]: Simplify 0 into 0 105.126 * [backup-simplify]: Simplify 1 into 1 105.126 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 105.126 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 105.126 * [taylor]: Taking taylor expansion of (pow J 2) in K 105.126 * [taylor]: Taking taylor expansion of J in K 105.126 * [backup-simplify]: Simplify J into J 105.126 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 105.126 * [backup-simplify]: Simplify (* J J) into (pow J 2) 105.126 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 105.127 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 105.127 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 105.127 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 105.127 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 105.127 * [taylor]: Taking taylor expansion of 2 in J 105.127 * [backup-simplify]: Simplify 2 into 2 105.127 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 105.127 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 105.127 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 105.127 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 105.127 * [taylor]: Taking taylor expansion of 1/2 in J 105.127 * [backup-simplify]: Simplify 1/2 into 1/2 105.127 * [taylor]: Taking taylor expansion of K in J 105.127 * [backup-simplify]: Simplify K into K 105.127 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 105.127 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 105.127 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 105.127 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 105.127 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 105.127 * [backup-simplify]: Simplify (- 0) into 0 105.128 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 105.128 * [taylor]: Taking taylor expansion of (pow J 2) in J 105.128 * [taylor]: Taking taylor expansion of J in J 105.128 * [backup-simplify]: Simplify 0 into 0 105.128 * [backup-simplify]: Simplify 1 into 1 105.128 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 105.128 * [backup-simplify]: Simplify (* 1 1) into 1 105.128 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 105.128 * [backup-simplify]: Simplify (+ 0) into 0 105.129 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 105.129 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 105.129 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 105.129 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 105.130 * [backup-simplify]: Simplify (- 0) into 0 105.130 * [backup-simplify]: Simplify (+ 0 0) into 0 105.130 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 105.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 105.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 105.132 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 105.133 * [backup-simplify]: Simplify (- 0) into 0 105.133 * [backup-simplify]: Simplify 0 into 0 105.133 * [taylor]: Taking taylor expansion of 0 in J 105.133 * [backup-simplify]: Simplify 0 into 0 105.133 * [taylor]: Taking taylor expansion of 0 in J 105.133 * [backup-simplify]: Simplify 0 into 0 105.133 * [backup-simplify]: Simplify 0 into 0 105.133 * [backup-simplify]: Simplify 0 into 0 105.133 * [backup-simplify]: Simplify 0 into 0 105.134 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 105.135 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 105.135 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 105.136 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 105.137 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 105.138 * [backup-simplify]: Simplify (- 0) into 0 105.138 * [backup-simplify]: Simplify (+ 0 0) into 0 105.138 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 105.139 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 105.140 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 105.141 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 105.141 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 105.147 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 105.148 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 105.149 * [backup-simplify]: Simplify (- 0) into 0 105.149 * [backup-simplify]: Simplify (+ 0 0) into 0 105.150 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 105.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 105.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 105.153 * [backup-simplify]: 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 0 105.155 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 105.155 * [backup-simplify]: Simplify (+ 0 0) into 0 105.155 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 105.156 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0 105.157 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 105.157 * [taylor]: Taking taylor expansion of 0 in K 105.157 * [backup-simplify]: Simplify 0 into 0 105.157 * [taylor]: Taking taylor expansion of 0 in J 105.157 * [backup-simplify]: Simplify 0 into 0 105.158 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 105.158 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 105.158 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 105.159 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into 0 105.159 * [backup-simplify]: Simplify (- 0) into 0 105.159 * [taylor]: Taking taylor expansion of 0 in J 105.159 * [backup-simplify]: Simplify 0 into 0 105.159 * [taylor]: Taking taylor expansion of 0 in J 105.159 * [backup-simplify]: Simplify 0 into 0 105.159 * [taylor]: Taking taylor expansion of 0 in J 105.159 * [backup-simplify]: Simplify 0 into 0 105.160 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 105.161 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 105.161 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 105.162 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 105.162 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 105.163 * [backup-simplify]: Simplify (- 0) into 0 105.163 * [backup-simplify]: Simplify (+ 0 0) into 0 105.163 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 105.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 105.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 105.165 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 105.165 * [backup-simplify]: Simplify (- 0) into 0 105.166 * [backup-simplify]: Simplify 0 into 0 105.166 * [backup-simplify]: Simplify 0 into 0 105.166 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 105.166 * [backup-simplify]: Simplify (* (* (* (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) -2) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- J))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 105.166 * [approximate]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in (U K J) around 0 105.166 * [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 105.166 * [taylor]: Taking taylor expansion of 2 in J 105.166 * [backup-simplify]: Simplify 2 into 2 105.166 * [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 105.166 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 105.166 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 105.166 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 105.166 * [taylor]: Taking taylor expansion of -1/2 in J 105.166 * [backup-simplify]: Simplify -1/2 into -1/2 105.166 * [taylor]: Taking taylor expansion of K in J 105.166 * [backup-simplify]: Simplify K into K 105.166 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 105.166 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 105.167 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 105.167 * [taylor]: Taking taylor expansion of J in J 105.167 * [backup-simplify]: Simplify 0 into 0 105.167 * [backup-simplify]: Simplify 1 into 1 105.167 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 105.167 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 105.167 * [backup-simplify]: Simplify (- 0) into 0 105.167 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 105.167 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 105.167 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 105.167 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 105.167 * [taylor]: Taking taylor expansion of 1 in J 105.167 * [backup-simplify]: Simplify 1 into 1 105.167 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 105.167 * [taylor]: Taking taylor expansion of 1/4 in J 105.167 * [backup-simplify]: Simplify 1/4 into 1/4 105.167 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 105.167 * [taylor]: Taking taylor expansion of (pow J 2) in J 105.167 * [taylor]: Taking taylor expansion of J in J 105.167 * [backup-simplify]: Simplify 0 into 0 105.167 * [backup-simplify]: Simplify 1 into 1 105.167 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 105.167 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 105.167 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 105.167 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 105.167 * [taylor]: Taking taylor expansion of -1/2 in J 105.167 * [backup-simplify]: Simplify -1/2 into -1/2 105.167 * [taylor]: Taking taylor expansion of K in J 105.167 * [backup-simplify]: Simplify K into K 105.167 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 105.167 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 105.167 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 105.168 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 105.168 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 105.168 * [backup-simplify]: Simplify (- 0) into 0 105.168 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 105.168 * [taylor]: Taking taylor expansion of (pow U 2) in J 105.168 * [taylor]: Taking taylor expansion of U in J 105.168 * [backup-simplify]: Simplify U into U 105.168 * [backup-simplify]: Simplify (* 1 1) into 1 105.168 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 105.168 * [backup-simplify]: Simplify (* U U) into (pow U 2) 105.168 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 105.169 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 105.169 * [backup-simplify]: Simplify (+ 1 0) into 1 105.169 * [backup-simplify]: Simplify (sqrt 1) into 1 105.169 * [backup-simplify]: Simplify (+ 0 0) into 0 105.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 105.170 * [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 105.170 * [taylor]: Taking taylor expansion of 2 in K 105.170 * [backup-simplify]: Simplify 2 into 2 105.170 * [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 105.170 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 105.170 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 105.170 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 105.170 * [taylor]: Taking taylor expansion of -1/2 in K 105.170 * [backup-simplify]: Simplify -1/2 into -1/2 105.170 * [taylor]: Taking taylor expansion of K in K 105.170 * [backup-simplify]: Simplify 0 into 0 105.170 * [backup-simplify]: Simplify 1 into 1 105.170 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 105.170 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 105.170 * [taylor]: Taking taylor expansion of J in K 105.170 * [backup-simplify]: Simplify J into J 105.170 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 105.170 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 105.170 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 105.170 * [taylor]: Taking taylor expansion of 1 in K 105.170 * [backup-simplify]: Simplify 1 into 1 105.170 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 105.170 * [taylor]: Taking taylor expansion of 1/4 in K 105.171 * [backup-simplify]: Simplify 1/4 into 1/4 105.171 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 105.171 * [taylor]: Taking taylor expansion of (pow J 2) in K 105.171 * [taylor]: Taking taylor expansion of J in K 105.171 * [backup-simplify]: Simplify J into J 105.171 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 105.171 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 105.171 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 105.171 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 105.171 * [taylor]: Taking taylor expansion of -1/2 in K 105.171 * [backup-simplify]: Simplify -1/2 into -1/2 105.171 * [taylor]: Taking taylor expansion of K in K 105.171 * [backup-simplify]: Simplify 0 into 0 105.171 * [backup-simplify]: Simplify 1 into 1 105.171 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 105.171 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 105.171 * [taylor]: Taking taylor expansion of (pow U 2) in K 105.171 * [taylor]: Taking taylor expansion of U in K 105.171 * [backup-simplify]: Simplify U into U 105.171 * [backup-simplify]: Simplify (* J J) into (pow J 2) 105.171 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 105.171 * [backup-simplify]: Simplify (* U U) into (pow U 2) 105.171 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 105.171 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 105.172 * [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)))) 105.172 * [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))))) 105.172 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 105.172 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 105.172 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 105.172 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 105.172 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 105.173 * [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 0 105.173 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 105.173 * [backup-simplify]: Simplify (+ 0 0) into 0 105.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 105.174 * [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 105.174 * [taylor]: Taking taylor expansion of 2 in U 105.174 * [backup-simplify]: Simplify 2 into 2 105.174 * [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 105.174 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 105.174 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 105.174 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 105.174 * [taylor]: Taking taylor expansion of -1/2 in U 105.174 * [backup-simplify]: Simplify -1/2 into -1/2 105.174 * [taylor]: Taking taylor expansion of K in U 105.174 * [backup-simplify]: Simplify K into K 105.174 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 105.174 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 105.174 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 105.174 * [taylor]: Taking taylor expansion of J in U 105.174 * [backup-simplify]: Simplify J into J 105.174 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 105.174 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 105.174 * [backup-simplify]: Simplify (- 0) into 0 105.174 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 105.175 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 105.175 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 105.175 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 105.175 * [taylor]: Taking taylor expansion of 1 in U 105.175 * [backup-simplify]: Simplify 1 into 1 105.175 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 105.175 * [taylor]: Taking taylor expansion of 1/4 in U 105.175 * [backup-simplify]: Simplify 1/4 into 1/4 105.175 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 105.175 * [taylor]: Taking taylor expansion of (pow J 2) in U 105.175 * [taylor]: Taking taylor expansion of J in U 105.175 * [backup-simplify]: Simplify J into J 105.175 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 105.175 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 105.175 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 105.175 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 105.175 * [taylor]: Taking taylor expansion of -1/2 in U 105.175 * [backup-simplify]: Simplify -1/2 into -1/2 105.175 * [taylor]: Taking taylor expansion of K in U 105.175 * [backup-simplify]: Simplify K into K 105.175 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 105.175 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 105.175 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 105.175 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 105.175 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 105.175 * [backup-simplify]: Simplify (- 0) into 0 105.176 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 105.176 * [taylor]: Taking taylor expansion of (pow U 2) in U 105.176 * [taylor]: Taking taylor expansion of U in U 105.176 * [backup-simplify]: Simplify 0 into 0 105.176 * [backup-simplify]: Simplify 1 into 1 105.176 * [backup-simplify]: Simplify (* J J) into (pow J 2) 105.176 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 105.176 * [backup-simplify]: Simplify (* 1 1) into 1 105.176 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 105.176 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 105.176 * [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))) 105.176 * [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))) 105.177 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 105.177 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 105.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 105.177 * [backup-simplify]: Simplify (+ 0) into 0 105.178 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 105.178 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 105.178 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 105.179 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 105.179 * [backup-simplify]: Simplify (- 0) into 0 105.179 * [backup-simplify]: Simplify (+ 0 0) into 0 105.179 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 105.179 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 105.180 * [backup-simplify]: 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 0 105.180 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 105.180 * [backup-simplify]: Simplify (+ 0 0) into 0 105.180 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 105.180 * [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 105.180 * [taylor]: Taking taylor expansion of 2 in U 105.180 * [backup-simplify]: Simplify 2 into 2 105.181 * [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 105.181 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 105.181 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 105.181 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 105.181 * [taylor]: Taking taylor expansion of -1/2 in U 105.181 * [backup-simplify]: Simplify -1/2 into -1/2 105.181 * [taylor]: Taking taylor expansion of K in U 105.181 * [backup-simplify]: Simplify K into K 105.181 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 105.181 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 105.181 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 105.181 * [taylor]: Taking taylor expansion of J in U 105.181 * [backup-simplify]: Simplify J into J 105.181 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 105.181 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 105.181 * [backup-simplify]: Simplify (- 0) into 0 105.181 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 105.181 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 105.181 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 105.181 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 105.181 * [taylor]: Taking taylor expansion of 1 in U 105.181 * [backup-simplify]: Simplify 1 into 1 105.181 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 105.181 * [taylor]: Taking taylor expansion of 1/4 in U 105.181 * [backup-simplify]: Simplify 1/4 into 1/4 105.181 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 105.181 * [taylor]: Taking taylor expansion of (pow J 2) in U 105.181 * [taylor]: Taking taylor expansion of J in U 105.181 * [backup-simplify]: Simplify J into J 105.181 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 105.181 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 105.181 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 105.181 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 105.182 * [taylor]: Taking taylor expansion of -1/2 in U 105.182 * [backup-simplify]: Simplify -1/2 into -1/2 105.182 * [taylor]: Taking taylor expansion of K in U 105.182 * [backup-simplify]: Simplify K into K 105.182 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 105.182 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 105.182 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 105.182 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 105.182 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 105.182 * [backup-simplify]: Simplify (- 0) into 0 105.182 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 105.182 * [taylor]: Taking taylor expansion of (pow U 2) in U 105.182 * [taylor]: Taking taylor expansion of U in U 105.182 * [backup-simplify]: Simplify 0 into 0 105.182 * [backup-simplify]: Simplify 1 into 1 105.182 * [backup-simplify]: Simplify (* J J) into (pow J 2) 105.182 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 105.183 * [backup-simplify]: Simplify (* 1 1) into 1 105.183 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 105.183 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 105.183 * [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))) 105.184 * [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))) 105.184 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 105.184 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 105.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 105.185 * [backup-simplify]: Simplify (+ 0) into 0 105.186 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 105.186 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 105.186 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 105.187 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 105.187 * [backup-simplify]: Simplify (- 0) into 0 105.188 * [backup-simplify]: Simplify (+ 0 0) into 0 105.188 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 105.188 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 105.189 * [backup-simplify]: 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 0 105.190 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 105.190 * [backup-simplify]: Simplify (+ 0 0) into 0 105.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 105.191 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2 105.191 * [backup-simplify]: Simplify (* 2 1/2) into 1 105.191 * [taylor]: Taking taylor expansion of 1 in K 105.191 * [backup-simplify]: Simplify 1 into 1 105.191 * [taylor]: Taking taylor expansion of 1 in J 105.191 * [backup-simplify]: Simplify 1 into 1 105.192 * [backup-simplify]: Simplify (+ 0) into 0 105.192 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 105.192 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 105.193 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 105.194 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 105.194 * [backup-simplify]: Simplify (- 0) into 0 105.194 * [backup-simplify]: Simplify (+ 0 0) into 0 105.195 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 105.195 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 105.196 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 105.196 * [taylor]: Taking taylor expansion of 0 in K 105.196 * [backup-simplify]: Simplify 0 into 0 105.196 * [taylor]: Taking taylor expansion of 0 in J 105.196 * [backup-simplify]: Simplify 0 into 0 105.196 * [taylor]: Taking taylor expansion of 0 in J 105.196 * [backup-simplify]: Simplify 0 into 0 105.196 * [backup-simplify]: Simplify 1 into 1 105.196 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 105.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 105.198 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 105.199 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 105.199 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 105.200 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 105.201 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 105.201 * [backup-simplify]: Simplify (- 0) into 0 105.201 * [backup-simplify]: Simplify (+ 0 0) into 0 105.202 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 105.203 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 105.203 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 105.204 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 105.205 * [backup-simplify]: Simplify (+ 1 0) into 1 105.206 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 105.206 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 105.207 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 105.207 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 105.209 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 105.209 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 105.209 * [backup-simplify]: Simplify (- 0) into 0 105.210 * [backup-simplify]: Simplify (+ 0 0) into 0 105.210 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 105.211 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 105.212 * [backup-simplify]: Simplify (+ (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 105.212 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in K 105.212 * [taylor]: Taking taylor expansion of 2 in K 105.212 * [backup-simplify]: Simplify 2 into 2 105.212 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in K 105.212 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 105.212 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 105.212 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 105.212 * [taylor]: Taking taylor expansion of -1/2 in K 105.212 * [backup-simplify]: Simplify -1/2 into -1/2 105.212 * [taylor]: Taking taylor expansion of K in K 105.212 * [backup-simplify]: Simplify 0 into 0 105.212 * [backup-simplify]: Simplify 1 into 1 105.213 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 105.213 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 105.213 * [taylor]: Taking taylor expansion of (pow J 2) in K 105.213 * [taylor]: Taking taylor expansion of J in K 105.213 * [backup-simplify]: Simplify J into J 105.213 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 105.213 * [backup-simplify]: Simplify (* J J) into (pow J 2) 105.213 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 105.213 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 105.213 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 105.213 * [taylor]: Taking taylor expansion of 2 in J 105.213 * [backup-simplify]: Simplify 2 into 2 105.213 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 105.213 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 105.214 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 105.214 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 105.214 * [taylor]: Taking taylor expansion of -1/2 in J 105.214 * [backup-simplify]: Simplify -1/2 into -1/2 105.214 * [taylor]: Taking taylor expansion of K in J 105.214 * [backup-simplify]: Simplify K into K 105.214 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 105.214 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 105.214 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 105.214 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 105.214 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 105.214 * [backup-simplify]: Simplify (- 0) into 0 105.215 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 105.215 * [taylor]: Taking taylor expansion of (pow J 2) in J 105.215 * [taylor]: Taking taylor expansion of J in J 105.215 * [backup-simplify]: Simplify 0 into 0 105.215 * [backup-simplify]: Simplify 1 into 1 105.215 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 105.215 * [backup-simplify]: Simplify (* 1 1) into 1 105.215 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 105.216 * [backup-simplify]: Simplify (+ 0) into 0 105.216 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 105.216 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 105.217 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 105.218 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 105.218 * [backup-simplify]: Simplify (- 0) into 0 105.218 * [backup-simplify]: Simplify (+ 0 0) into 0 105.218 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 105.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 105.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 105.221 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 105.221 * [backup-simplify]: Simplify 0 into 0 105.221 * [taylor]: Taking taylor expansion of 0 in J 105.221 * [backup-simplify]: Simplify 0 into 0 105.221 * [taylor]: Taking taylor expansion of 0 in J 105.221 * [backup-simplify]: Simplify 0 into 0 105.221 * [backup-simplify]: Simplify 0 into 0 105.221 * [backup-simplify]: Simplify 0 into 0 105.221 * [backup-simplify]: Simplify 0 into 0 105.222 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 105.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 105.224 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 105.225 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 105.225 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 105.226 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 105.227 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 105.227 * [backup-simplify]: Simplify (- 0) into 0 105.228 * [backup-simplify]: Simplify (+ 0 0) into 0 105.229 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 105.230 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 105.230 * [backup-simplify]: 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 0 105.232 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 105.232 * [backup-simplify]: Simplify (+ 0 0) into 0 105.232 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 105.233 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 105.235 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 105.235 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 105.236 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 105.237 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 105.237 * [backup-simplify]: Simplify (- 0) into 0 105.238 * [backup-simplify]: Simplify (+ 0 0) into 0 105.238 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 105.239 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 105.240 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 105.240 * [taylor]: Taking taylor expansion of 0 in K 105.240 * [backup-simplify]: Simplify 0 into 0 105.240 * [taylor]: Taking taylor expansion of 0 in J 105.240 * [backup-simplify]: Simplify 0 into 0 105.240 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 105.241 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 105.241 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 105.241 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) into 0 105.241 * [taylor]: Taking taylor expansion of 0 in J 105.242 * [backup-simplify]: Simplify 0 into 0 105.242 * [taylor]: Taking taylor expansion of 0 in J 105.242 * [backup-simplify]: Simplify 0 into 0 105.242 * [taylor]: Taking taylor expansion of 0 in J 105.242 * [backup-simplify]: Simplify 0 into 0 105.243 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 105.243 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 105.244 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 105.244 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 105.245 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 105.245 * [backup-simplify]: Simplify (- 0) into 0 105.246 * [backup-simplify]: Simplify (+ 0 0) into 0 105.246 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 105.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 105.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 105.249 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 105.249 * [backup-simplify]: Simplify 0 into 0 105.250 * [backup-simplify]: Simplify 0 into 0 105.250 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 105.250 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 1) 105.250 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 105.250 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0 105.250 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 105.250 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 105.250 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 105.250 * [taylor]: Taking taylor expansion of 1/4 in J 105.250 * [backup-simplify]: Simplify 1/4 into 1/4 105.251 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 105.251 * [taylor]: Taking taylor expansion of (pow U 2) in J 105.251 * [taylor]: Taking taylor expansion of U in J 105.251 * [backup-simplify]: Simplify U into U 105.251 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 105.251 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 105.251 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 105.251 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 105.251 * [taylor]: Taking taylor expansion of 1/2 in J 105.251 * [backup-simplify]: Simplify 1/2 into 1/2 105.251 * [taylor]: Taking taylor expansion of K in J 105.251 * [backup-simplify]: Simplify K into K 105.251 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 105.251 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 105.251 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 105.251 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 105.251 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 105.252 * [backup-simplify]: Simplify (- 0) into 0 105.252 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 105.252 * [taylor]: Taking taylor expansion of (pow J 2) in J 105.252 * [taylor]: Taking taylor expansion of J in J 105.252 * [backup-simplify]: Simplify 0 into 0 105.252 * [backup-simplify]: Simplify 1 into 1 105.252 * [backup-simplify]: Simplify (* U U) into (pow U 2) 105.252 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 105.252 * [backup-simplify]: Simplify (* 1 1) into 1 105.253 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 105.253 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 105.253 * [taylor]: Taking taylor expansion of 1 in J 105.253 * [backup-simplify]: Simplify 1 into 1 105.253 * [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))) 105.253 * [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))) 105.254 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 105.254 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 105.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 105.255 * [backup-simplify]: Simplify (+ 0) into 0 105.255 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 105.256 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 105.257 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 105.257 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 105.257 * [backup-simplify]: Simplify (- 0) into 0 105.258 * [backup-simplify]: Simplify (+ 0 0) into 0 105.258 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 105.259 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 105.259 * [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 0 105.260 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 105.260 * [backup-simplify]: Simplify (+ 0 0) into 0 105.260 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 105.260 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 105.260 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 105.260 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 105.260 * [taylor]: Taking taylor expansion of 1/4 in K 105.261 * [backup-simplify]: Simplify 1/4 into 1/4 105.261 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 105.261 * [taylor]: Taking taylor expansion of (pow U 2) in K 105.261 * [taylor]: Taking taylor expansion of U in K 105.261 * [backup-simplify]: Simplify U into U 105.261 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 105.261 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 105.261 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 105.261 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 105.261 * [taylor]: Taking taylor expansion of 1/2 in K 105.261 * [backup-simplify]: Simplify 1/2 into 1/2 105.261 * [taylor]: Taking taylor expansion of K in K 105.261 * [backup-simplify]: Simplify 0 into 0 105.261 * [backup-simplify]: Simplify 1 into 1 105.262 * [backup-simplify]: Simplify (* 1/2 0) into 0 105.262 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 105.262 * [taylor]: Taking taylor expansion of (pow J 2) in K 105.262 * [taylor]: Taking taylor expansion of J in K 105.262 * [backup-simplify]: Simplify J into J 105.262 * [backup-simplify]: Simplify (* U U) into (pow U 2) 105.263 * [backup-simplify]: Simplify (* 1 1) into 1 105.263 * [backup-simplify]: Simplify (* J J) into (pow J 2) 105.263 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 105.263 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 105.263 * [taylor]: Taking taylor expansion of 1 in K 105.263 * [backup-simplify]: Simplify 1 into 1 105.263 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 105.264 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 105.264 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 105.264 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 105.264 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 105.264 * [backup-simplify]: Simplify (+ 0) into 0 105.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 105.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 105.266 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 105.266 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 105.267 * [backup-simplify]: Simplify (+ 0 0) into 0 105.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 105.267 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 105.267 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 105.267 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 105.267 * [taylor]: Taking taylor expansion of 1/4 in U 105.267 * [backup-simplify]: Simplify 1/4 into 1/4 105.267 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 105.267 * [taylor]: Taking taylor expansion of (pow U 2) in U 105.267 * [taylor]: Taking taylor expansion of U in U 105.267 * [backup-simplify]: Simplify 0 into 0 105.267 * [backup-simplify]: Simplify 1 into 1 105.267 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 105.267 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 105.267 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 105.267 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 105.267 * [taylor]: Taking taylor expansion of 1/2 in U 105.268 * [backup-simplify]: Simplify 1/2 into 1/2 105.268 * [taylor]: Taking taylor expansion of K in U 105.268 * [backup-simplify]: Simplify K into K 105.268 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 105.268 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 105.268 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 105.268 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 105.268 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 105.269 * [backup-simplify]: Simplify (- 0) into 0 105.269 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 105.269 * [taylor]: Taking taylor expansion of (pow J 2) in U 105.269 * [taylor]: Taking taylor expansion of J in U 105.269 * [backup-simplify]: Simplify J into J 105.269 * [backup-simplify]: Simplify (* 1 1) into 1 105.269 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 105.269 * [backup-simplify]: Simplify (* J J) into (pow J 2) 105.269 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 105.270 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 105.270 * [taylor]: Taking taylor expansion of 1 in U 105.270 * [backup-simplify]: Simplify 1 into 1 105.270 * [backup-simplify]: Simplify (+ 0 1) into 1 105.271 * [backup-simplify]: Simplify (sqrt 1) into 1 105.271 * [backup-simplify]: Simplify (+ 0 0) into 0 105.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 105.272 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 105.272 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 105.272 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 105.272 * [taylor]: Taking taylor expansion of 1/4 in U 105.272 * [backup-simplify]: Simplify 1/4 into 1/4 105.272 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 105.272 * [taylor]: Taking taylor expansion of (pow U 2) in U 105.272 * [taylor]: Taking taylor expansion of U in U 105.272 * [backup-simplify]: Simplify 0 into 0 105.272 * [backup-simplify]: Simplify 1 into 1 105.272 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 105.272 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 105.272 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 105.272 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 105.272 * [taylor]: Taking taylor expansion of 1/2 in U 105.272 * [backup-simplify]: Simplify 1/2 into 1/2 105.272 * [taylor]: Taking taylor expansion of K in U 105.272 * [backup-simplify]: Simplify K into K 105.272 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 105.272 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 105.272 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 105.272 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 105.272 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 105.273 * [backup-simplify]: Simplify (- 0) into 0 105.273 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 105.273 * [taylor]: Taking taylor expansion of (pow J 2) in U 105.273 * [taylor]: Taking taylor expansion of J in U 105.273 * [backup-simplify]: Simplify J into J 105.273 * [backup-simplify]: Simplify (* 1 1) into 1 105.274 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 105.274 * [backup-simplify]: Simplify (* J J) into (pow J 2) 105.274 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 105.274 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 105.274 * [taylor]: Taking taylor expansion of 1 in U 105.274 * [backup-simplify]: Simplify 1 into 1 105.274 * [backup-simplify]: Simplify (+ 0 1) into 1 105.275 * [backup-simplify]: Simplify (sqrt 1) into 1 105.275 * [backup-simplify]: Simplify (+ 0 0) into 0 105.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 105.276 * [taylor]: Taking taylor expansion of 1 in K 105.276 * [backup-simplify]: Simplify 1 into 1 105.276 * [taylor]: Taking taylor expansion of 1 in J 105.276 * [backup-simplify]: Simplify 1 into 1 105.276 * [taylor]: Taking taylor expansion of 0 in K 105.276 * [backup-simplify]: Simplify 0 into 0 105.276 * [taylor]: Taking taylor expansion of 0 in J 105.276 * [backup-simplify]: Simplify 0 into 0 105.276 * [taylor]: Taking taylor expansion of 0 in J 105.276 * [backup-simplify]: Simplify 0 into 0 105.276 * [backup-simplify]: Simplify 1 into 1 105.277 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 105.277 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 105.278 * [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))) 105.278 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 105.278 * [taylor]: Taking taylor expansion of 1/8 in K 105.278 * [backup-simplify]: Simplify 1/8 into 1/8 105.278 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 105.278 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 105.278 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 105.278 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 105.278 * [taylor]: Taking taylor expansion of 1/2 in K 105.278 * [backup-simplify]: Simplify 1/2 into 1/2 105.278 * [taylor]: Taking taylor expansion of K in K 105.279 * [backup-simplify]: Simplify 0 into 0 105.279 * [backup-simplify]: Simplify 1 into 1 105.279 * [backup-simplify]: Simplify (* 1/2 0) into 0 105.280 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 105.280 * [taylor]: Taking taylor expansion of (pow J 2) in K 105.280 * [taylor]: Taking taylor expansion of J in K 105.280 * [backup-simplify]: Simplify J into J 105.280 * [backup-simplify]: Simplify (* 1 1) into 1 105.280 * [backup-simplify]: Simplify (* J J) into (pow J 2) 105.280 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 105.280 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 105.280 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 105.280 * [taylor]: Taking taylor expansion of 1/8 in J 105.280 * [backup-simplify]: Simplify 1/8 into 1/8 105.280 * [taylor]: Taking taylor expansion of (pow J 2) in J 105.281 * [taylor]: Taking taylor expansion of J in J 105.281 * [backup-simplify]: Simplify 0 into 0 105.281 * [backup-simplify]: Simplify 1 into 1 105.281 * [backup-simplify]: Simplify (* 1 1) into 1 105.281 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 105.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 105.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 105.283 * [backup-simplify]: Simplify 0 into 0 105.283 * [taylor]: Taking taylor expansion of 0 in J 105.283 * [backup-simplify]: Simplify 0 into 0 105.283 * [taylor]: Taking taylor expansion of 0 in J 105.283 * [backup-simplify]: Simplify 0 into 0 105.283 * [backup-simplify]: Simplify 0 into 0 105.283 * [backup-simplify]: Simplify 0 into 0 105.283 * [backup-simplify]: Simplify 0 into 0 105.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 105.284 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 105.284 * [backup-simplify]: Simplify (+ 0) into 0 105.285 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 105.289 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 105.290 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 105.291 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 105.291 * [backup-simplify]: Simplify (- 0) into 0 105.291 * [backup-simplify]: Simplify (+ 0 0) into 0 105.291 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 105.292 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 105.292 * [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 0 105.293 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 105.293 * [backup-simplify]: Simplify (+ 0 0) into 0 105.294 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 105.294 * [taylor]: Taking taylor expansion of 0 in K 105.294 * [backup-simplify]: Simplify 0 into 0 105.294 * [taylor]: Taking taylor expansion of 0 in J 105.294 * [backup-simplify]: Simplify 0 into 0 105.294 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 105.294 * [backup-simplify]: Simplify (+ 0) into 0 105.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 105.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 105.295 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 105.295 * [taylor]: Taking taylor expansion of 0 in J 105.295 * [backup-simplify]: Simplify 0 into 0 105.295 * [taylor]: Taking taylor expansion of 0 in J 105.295 * [backup-simplify]: Simplify 0 into 0 105.295 * [taylor]: Taking taylor expansion of 0 in J 105.295 * [backup-simplify]: Simplify 0 into 0 105.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 105.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 105.296 * [backup-simplify]: Simplify 0 into 0 105.296 * [backup-simplify]: Simplify 0 into 0 105.296 * [backup-simplify]: Simplify 1 into 1 105.297 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 105.297 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0 105.297 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 105.297 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 105.297 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 105.297 * [taylor]: Taking taylor expansion of 1/4 in J 105.297 * [backup-simplify]: Simplify 1/4 into 1/4 105.297 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 105.297 * [taylor]: Taking taylor expansion of (pow J 2) in J 105.297 * [taylor]: Taking taylor expansion of J in J 105.297 * [backup-simplify]: Simplify 0 into 0 105.297 * [backup-simplify]: Simplify 1 into 1 105.297 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 105.297 * [taylor]: Taking taylor expansion of (pow U 2) in J 105.297 * [taylor]: Taking taylor expansion of U in J 105.297 * [backup-simplify]: Simplify U into U 105.297 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 105.297 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 105.297 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 105.297 * [taylor]: Taking taylor expansion of 1/2 in J 105.297 * [backup-simplify]: Simplify 1/2 into 1/2 105.297 * [taylor]: Taking taylor expansion of K in J 105.297 * [backup-simplify]: Simplify K into K 105.297 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 105.297 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 105.297 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 105.297 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 105.297 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 105.298 * [backup-simplify]: Simplify (- 0) into 0 105.298 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 105.298 * [backup-simplify]: Simplify (* 1 1) into 1 105.298 * [backup-simplify]: Simplify (* U U) into (pow U 2) 105.298 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 105.298 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 105.298 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 105.298 * [taylor]: Taking taylor expansion of 1 in J 105.298 * [backup-simplify]: Simplify 1 into 1 105.299 * [backup-simplify]: Simplify (+ 0 1) into 1 105.299 * [backup-simplify]: Simplify (sqrt 1) into 1 105.299 * [backup-simplify]: Simplify (+ 0 0) into 0 105.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 105.300 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 105.300 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 105.300 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 105.300 * [taylor]: Taking taylor expansion of 1/4 in K 105.300 * [backup-simplify]: Simplify 1/4 into 1/4 105.300 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 105.300 * [taylor]: Taking taylor expansion of (pow J 2) in K 105.300 * [taylor]: Taking taylor expansion of J in K 105.300 * [backup-simplify]: Simplify J into J 105.300 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 105.300 * [taylor]: Taking taylor expansion of (pow U 2) in K 105.300 * [taylor]: Taking taylor expansion of U in K 105.300 * [backup-simplify]: Simplify U into U 105.300 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 105.300 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 105.300 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 105.300 * [taylor]: Taking taylor expansion of 1/2 in K 105.300 * [backup-simplify]: Simplify 1/2 into 1/2 105.300 * [taylor]: Taking taylor expansion of K in K 105.300 * [backup-simplify]: Simplify 0 into 0 105.300 * [backup-simplify]: Simplify 1 into 1 105.300 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 105.300 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 105.300 * [backup-simplify]: Simplify (* J J) into (pow J 2) 105.300 * [backup-simplify]: Simplify (* U U) into (pow U 2) 105.300 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 105.300 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 105.301 * [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))) 105.301 * [taylor]: Taking taylor expansion of 1 in K 105.301 * [backup-simplify]: Simplify 1 into 1 105.301 * [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)))) 105.301 * [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) 105.301 * [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)) 105.301 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 105.301 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 105.301 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 105.301 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 105.302 * [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 0 105.302 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 105.303 * [backup-simplify]: Simplify (+ 0 0) into 0 105.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 105.303 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 105.303 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 105.303 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 105.303 * [taylor]: Taking taylor expansion of 1/4 in U 105.303 * [backup-simplify]: Simplify 1/4 into 1/4 105.303 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 105.303 * [taylor]: Taking taylor expansion of (pow J 2) in U 105.303 * [taylor]: Taking taylor expansion of J in U 105.303 * [backup-simplify]: Simplify J into J 105.303 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 105.303 * [taylor]: Taking taylor expansion of (pow U 2) in U 105.303 * [taylor]: Taking taylor expansion of U in U 105.303 * [backup-simplify]: Simplify 0 into 0 105.303 * [backup-simplify]: Simplify 1 into 1 105.303 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 105.303 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 105.303 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 105.303 * [taylor]: Taking taylor expansion of 1/2 in U 105.303 * [backup-simplify]: Simplify 1/2 into 1/2 105.303 * [taylor]: Taking taylor expansion of K in U 105.303 * [backup-simplify]: Simplify K into K 105.303 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 105.303 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 105.303 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 105.303 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 105.303 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 105.304 * [backup-simplify]: Simplify (- 0) into 0 105.304 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 105.304 * [backup-simplify]: Simplify (* J J) into (pow J 2) 105.304 * [backup-simplify]: Simplify (* 1 1) into 1 105.304 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 105.304 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 105.304 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 105.304 * [taylor]: Taking taylor expansion of 1 in U 105.304 * [backup-simplify]: Simplify 1 into 1 105.304 * [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))) 105.305 * [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))) 105.305 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 105.305 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 105.305 * [backup-simplify]: Simplify (+ 0) into 0 105.306 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 105.306 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 105.307 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 105.307 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 105.307 * [backup-simplify]: Simplify (- 0) into 0 105.308 * [backup-simplify]: Simplify (+ 0 0) into 0 105.308 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 105.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 105.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 105.310 * [backup-simplify]: 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 0 105.310 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 105.311 * [backup-simplify]: Simplify (+ 0 0) into 0 105.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 105.311 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 105.311 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 105.311 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 105.311 * [taylor]: Taking taylor expansion of 1/4 in U 105.311 * [backup-simplify]: Simplify 1/4 into 1/4 105.311 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 105.311 * [taylor]: Taking taylor expansion of (pow J 2) in U 105.311 * [taylor]: Taking taylor expansion of J in U 105.311 * [backup-simplify]: Simplify J into J 105.311 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 105.311 * [taylor]: Taking taylor expansion of (pow U 2) in U 105.311 * [taylor]: Taking taylor expansion of U in U 105.311 * [backup-simplify]: Simplify 0 into 0 105.311 * [backup-simplify]: Simplify 1 into 1 105.311 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 105.311 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 105.311 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 105.311 * [taylor]: Taking taylor expansion of 1/2 in U 105.311 * [backup-simplify]: Simplify 1/2 into 1/2 105.311 * [taylor]: Taking taylor expansion of K in U 105.311 * [backup-simplify]: Simplify K into K 105.311 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 105.312 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 105.312 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 105.312 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 105.312 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 105.312 * [backup-simplify]: Simplify (- 0) into 0 105.312 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 105.312 * [backup-simplify]: Simplify (* J J) into (pow J 2) 105.313 * [backup-simplify]: Simplify (* 1 1) into 1 105.313 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 105.313 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 105.313 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 105.313 * [taylor]: Taking taylor expansion of 1 in U 105.313 * [backup-simplify]: Simplify 1 into 1 105.313 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 105.314 * [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))) 105.314 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 105.314 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 105.314 * [backup-simplify]: Simplify (+ 0) into 0 105.315 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 105.315 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 105.316 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 105.316 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 105.317 * [backup-simplify]: Simplify (- 0) into 0 105.317 * [backup-simplify]: Simplify (+ 0 0) into 0 105.317 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 105.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 105.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 105.319 * [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))))) into 0 105.319 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 105.320 * [backup-simplify]: Simplify (+ 0 0) into 0 105.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 105.320 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 105.320 * [taylor]: Taking taylor expansion of 1/2 in K 105.320 * [backup-simplify]: Simplify 1/2 into 1/2 105.320 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 105.320 * [taylor]: Taking taylor expansion of J in K 105.320 * [backup-simplify]: Simplify J into J 105.320 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 105.320 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 105.320 * [taylor]: Taking taylor expansion of 1/2 in K 105.320 * [backup-simplify]: Simplify 1/2 into 1/2 105.320 * [taylor]: Taking taylor expansion of K in K 105.320 * [backup-simplify]: Simplify 0 into 0 105.320 * [backup-simplify]: Simplify 1 into 1 105.321 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 105.321 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 105.321 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 105.321 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 105.321 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 105.321 * [taylor]: Taking taylor expansion of 1/2 in J 105.321 * [backup-simplify]: Simplify 1/2 into 1/2 105.321 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 105.321 * [taylor]: Taking taylor expansion of J in J 105.321 * [backup-simplify]: Simplify 0 into 0 105.321 * [backup-simplify]: Simplify 1 into 1 105.321 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 105.321 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 105.321 * [taylor]: Taking taylor expansion of 1/2 in J 105.321 * [backup-simplify]: Simplify 1/2 into 1/2 105.321 * [taylor]: Taking taylor expansion of K in J 105.321 * [backup-simplify]: Simplify K into K 105.321 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 105.322 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 105.322 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 105.322 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 105.322 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 105.322 * [backup-simplify]: Simplify (- 0) into 0 105.322 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 105.322 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 105.322 * [taylor]: Taking taylor expansion of 0 in K 105.322 * [backup-simplify]: Simplify 0 into 0 105.322 * [taylor]: Taking taylor expansion of 0 in J 105.323 * [backup-simplify]: Simplify 0 into 0 105.323 * [backup-simplify]: Simplify 0 into 0 105.323 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 105.323 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 105.323 * [taylor]: Taking taylor expansion of 0 in J 105.323 * [backup-simplify]: Simplify 0 into 0 105.323 * [backup-simplify]: Simplify 0 into 0 105.324 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 105.324 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 105.324 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 105.325 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 105.326 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 105.326 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 105.327 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 105.327 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 105.328 * [backup-simplify]: Simplify (- 0) into 0 105.328 * [backup-simplify]: Simplify (+ 0 0) into 0 105.329 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 105.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 105.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 105.331 * [backup-simplify]: 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 0 105.332 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 105.333 * [backup-simplify]: Simplify (+ 0 1) into 1 105.334 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 105.334 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 105.334 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 105.334 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 105.334 * [taylor]: Taking taylor expansion of 1/2 in K 105.334 * [backup-simplify]: Simplify 1/2 into 1/2 105.334 * [taylor]: Taking taylor expansion of K in K 105.334 * [backup-simplify]: Simplify 0 into 0 105.334 * [backup-simplify]: Simplify 1 into 1 105.334 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 105.335 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 105.335 * [taylor]: Taking taylor expansion of J in K 105.335 * [backup-simplify]: Simplify J into J 105.335 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 105.335 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 105.335 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 105.335 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 105.335 * [taylor]: Taking taylor expansion of 1/2 in J 105.335 * [backup-simplify]: Simplify 1/2 into 1/2 105.335 * [taylor]: Taking taylor expansion of K in J 105.335 * [backup-simplify]: Simplify K into K 105.335 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 105.335 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 105.335 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 105.335 * [taylor]: Taking taylor expansion of J in J 105.335 * [backup-simplify]: Simplify 0 into 0 105.335 * [backup-simplify]: Simplify 1 into 1 105.335 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 105.335 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 105.336 * [backup-simplify]: Simplify (- 0) into 0 105.336 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 105.336 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 105.336 * [backup-simplify]: Simplify (+ 0) into 0 105.337 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 105.337 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 105.338 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 105.338 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 105.338 * [backup-simplify]: Simplify (- 0) into 0 105.339 * [backup-simplify]: Simplify (+ 0 0) into 0 105.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 105.339 * [backup-simplify]: Simplify 0 into 0 105.339 * [taylor]: Taking taylor expansion of 0 in J 105.339 * [backup-simplify]: Simplify 0 into 0 105.339 * [backup-simplify]: Simplify 0 into 0 105.339 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 105.340 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 105.340 * [taylor]: Taking taylor expansion of 0 in J 105.340 * [backup-simplify]: Simplify 0 into 0 105.340 * [backup-simplify]: Simplify 0 into 0 105.340 * [backup-simplify]: Simplify 0 into 0 105.340 * [backup-simplify]: Simplify 0 into 0 105.340 * [backup-simplify]: Simplify (+ 0) into 0 105.341 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 105.341 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 105.341 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 105.341 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 105.342 * [backup-simplify]: Simplify (- 0) into 0 105.342 * [backup-simplify]: Simplify (+ 0 0) into 0 105.342 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 105.342 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 105.342 * [backup-simplify]: Simplify 0 into 0 105.343 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 105.343 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 105.343 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0 105.343 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 105.343 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 105.343 * [taylor]: Taking taylor expansion of 1 in J 105.343 * [backup-simplify]: Simplify 1 into 1 105.343 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 105.343 * [taylor]: Taking taylor expansion of 1/4 in J 105.343 * [backup-simplify]: Simplify 1/4 into 1/4 105.343 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 105.343 * [taylor]: Taking taylor expansion of (pow J 2) in J 105.343 * [taylor]: Taking taylor expansion of J in J 105.343 * [backup-simplify]: Simplify 0 into 0 105.343 * [backup-simplify]: Simplify 1 into 1 105.343 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 105.343 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 105.343 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 105.343 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 105.343 * [taylor]: Taking taylor expansion of -1/2 in J 105.343 * [backup-simplify]: Simplify -1/2 into -1/2 105.343 * [taylor]: Taking taylor expansion of K in J 105.343 * [backup-simplify]: Simplify K into K 105.343 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 105.343 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 105.344 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 105.344 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 105.344 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 105.344 * [backup-simplify]: Simplify (- 0) into 0 105.344 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 105.344 * [taylor]: Taking taylor expansion of (pow U 2) in J 105.344 * [taylor]: Taking taylor expansion of U in J 105.344 * [backup-simplify]: Simplify U into U 105.344 * [backup-simplify]: Simplify (* 1 1) into 1 105.344 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 105.344 * [backup-simplify]: Simplify (* U U) into (pow U 2) 105.345 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 105.345 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 105.345 * [backup-simplify]: Simplify (+ 1 0) into 1 105.345 * [backup-simplify]: Simplify (sqrt 1) into 1 105.346 * [backup-simplify]: Simplify (+ 0 0) into 0 105.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 105.346 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 105.346 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 105.346 * [taylor]: Taking taylor expansion of 1 in K 105.346 * [backup-simplify]: Simplify 1 into 1 105.346 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 105.346 * [taylor]: Taking taylor expansion of 1/4 in K 105.346 * [backup-simplify]: Simplify 1/4 into 1/4 105.346 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 105.346 * [taylor]: Taking taylor expansion of (pow J 2) in K 105.346 * [taylor]: Taking taylor expansion of J in K 105.346 * [backup-simplify]: Simplify J into J 105.346 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 105.346 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 105.346 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 105.346 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 105.346 * [taylor]: Taking taylor expansion of -1/2 in K 105.346 * [backup-simplify]: Simplify -1/2 into -1/2 105.346 * [taylor]: Taking taylor expansion of K in K 105.346 * [backup-simplify]: Simplify 0 into 0 105.346 * [backup-simplify]: Simplify 1 into 1 105.347 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 105.347 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 105.347 * [taylor]: Taking taylor expansion of (pow U 2) in K 105.347 * [taylor]: Taking taylor expansion of U in K 105.347 * [backup-simplify]: Simplify U into U 105.347 * [backup-simplify]: Simplify (* J J) into (pow J 2) 105.347 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 105.347 * [backup-simplify]: Simplify (* U U) into (pow U 2) 105.347 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 105.347 * [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))) 105.347 * [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)))) 105.347 * [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))))) 105.348 * [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)))))) 105.348 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 105.348 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 105.348 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 105.348 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 105.348 * [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 0 105.349 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 105.349 * [backup-simplify]: Simplify (+ 0 0) into 0 105.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 105.349 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 105.349 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 105.349 * [taylor]: Taking taylor expansion of 1 in U 105.349 * [backup-simplify]: Simplify 1 into 1 105.349 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 105.349 * [taylor]: Taking taylor expansion of 1/4 in U 105.349 * [backup-simplify]: Simplify 1/4 into 1/4 105.349 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 105.349 * [taylor]: Taking taylor expansion of (pow J 2) in U 105.349 * [taylor]: Taking taylor expansion of J in U 105.349 * [backup-simplify]: Simplify J into J 105.349 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 105.350 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 105.350 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 105.350 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 105.350 * [taylor]: Taking taylor expansion of -1/2 in U 105.350 * [backup-simplify]: Simplify -1/2 into -1/2 105.350 * [taylor]: Taking taylor expansion of K in U 105.350 * [backup-simplify]: Simplify K into K 105.350 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 105.350 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 105.350 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 105.350 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 105.350 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 105.350 * [backup-simplify]: Simplify (- 0) into 0 105.350 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 105.350 * [taylor]: Taking taylor expansion of (pow U 2) in U 105.350 * [taylor]: Taking taylor expansion of U in U 105.350 * [backup-simplify]: Simplify 0 into 0 105.350 * [backup-simplify]: Simplify 1 into 1 105.350 * [backup-simplify]: Simplify (* J J) into (pow J 2) 105.350 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 105.351 * [backup-simplify]: Simplify (* 1 1) into 1 105.351 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 105.351 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 105.351 * [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))) 105.351 * [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))) 105.351 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 105.351 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 105.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 105.352 * [backup-simplify]: Simplify (+ 0) into 0 105.352 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 105.352 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 105.353 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 105.353 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 105.353 * [backup-simplify]: Simplify (- 0) into 0 105.354 * [backup-simplify]: Simplify (+ 0 0) into 0 105.354 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 105.354 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 105.354 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 105.355 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 105.355 * [backup-simplify]: Simplify (+ 0 0) into 0 105.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 105.355 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 105.355 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 105.355 * [taylor]: Taking taylor expansion of 1 in U 105.355 * [backup-simplify]: Simplify 1 into 1 105.355 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 105.355 * [taylor]: Taking taylor expansion of 1/4 in U 105.355 * [backup-simplify]: Simplify 1/4 into 1/4 105.355 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 105.355 * [taylor]: Taking taylor expansion of (pow J 2) in U 105.355 * [taylor]: Taking taylor expansion of J in U 105.355 * [backup-simplify]: Simplify J into J 105.355 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 105.355 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 105.355 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 105.355 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 105.355 * [taylor]: Taking taylor expansion of -1/2 in U 105.355 * [backup-simplify]: Simplify -1/2 into -1/2 105.355 * [taylor]: Taking taylor expansion of K in U 105.355 * [backup-simplify]: Simplify K into K 105.355 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 105.355 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 105.355 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 105.356 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 105.356 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 105.356 * [backup-simplify]: Simplify (- 0) into 0 105.356 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 105.356 * [taylor]: Taking taylor expansion of (pow U 2) in U 105.356 * [taylor]: Taking taylor expansion of U in U 105.356 * [backup-simplify]: Simplify 0 into 0 105.356 * [backup-simplify]: Simplify 1 into 1 105.356 * [backup-simplify]: Simplify (* J J) into (pow J 2) 105.356 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 105.356 * [backup-simplify]: Simplify (* 1 1) into 1 105.356 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 105.356 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 105.357 * [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))) 105.357 * [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))) 105.357 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 105.357 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 105.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 105.358 * [backup-simplify]: Simplify (+ 0) into 0 105.358 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 105.358 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 105.358 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 105.359 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 105.359 * [backup-simplify]: Simplify (- 0) into 0 105.359 * [backup-simplify]: Simplify (+ 0 0) into 0 105.359 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 105.360 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 105.360 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 105.360 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 105.361 * [backup-simplify]: Simplify (+ 0 0) into 0 105.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 105.361 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 105.361 * [taylor]: Taking taylor expansion of 1/2 in K 105.361 * [backup-simplify]: Simplify 1/2 into 1/2 105.361 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 105.361 * [taylor]: Taking taylor expansion of J in K 105.361 * [backup-simplify]: Simplify J into J 105.361 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 105.361 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 105.361 * [taylor]: Taking taylor expansion of -1/2 in K 105.361 * [backup-simplify]: Simplify -1/2 into -1/2 105.361 * [taylor]: Taking taylor expansion of K in K 105.361 * [backup-simplify]: Simplify 0 into 0 105.361 * [backup-simplify]: Simplify 1 into 1 105.361 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 105.362 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 105.362 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 105.362 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 105.362 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 105.362 * [taylor]: Taking taylor expansion of 1/2 in J 105.362 * [backup-simplify]: Simplify 1/2 into 1/2 105.362 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 105.362 * [taylor]: Taking taylor expansion of J in J 105.362 * [backup-simplify]: Simplify 0 into 0 105.362 * [backup-simplify]: Simplify 1 into 1 105.362 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 105.362 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 105.362 * [taylor]: Taking taylor expansion of -1/2 in J 105.362 * [backup-simplify]: Simplify -1/2 into -1/2 105.362 * [taylor]: Taking taylor expansion of K in J 105.362 * [backup-simplify]: Simplify K into K 105.362 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 105.362 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 105.362 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 105.362 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 105.362 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 105.362 * [backup-simplify]: Simplify (- 0) into 0 105.362 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 105.363 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 105.363 * [taylor]: Taking taylor expansion of 0 in K 105.363 * [backup-simplify]: Simplify 0 into 0 105.363 * [taylor]: Taking taylor expansion of 0 in J 105.363 * [backup-simplify]: Simplify 0 into 0 105.363 * [backup-simplify]: Simplify 0 into 0 105.363 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 105.363 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 105.363 * [taylor]: Taking taylor expansion of 0 in J 105.363 * [backup-simplify]: Simplify 0 into 0 105.363 * [backup-simplify]: Simplify 0 into 0 105.363 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 105.363 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 105.364 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 105.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 105.365 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 105.365 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 105.365 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 105.366 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 105.366 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 105.366 * [backup-simplify]: Simplify (- 0) into 0 105.367 * [backup-simplify]: Simplify (+ 0 0) into 0 105.367 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 105.367 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 105.368 * [backup-simplify]: 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 0 105.368 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 105.369 * [backup-simplify]: Simplify (+ 1 0) into 1 105.369 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 105.369 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 105.369 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 105.369 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 105.369 * [taylor]: Taking taylor expansion of -1/2 in K 105.369 * [backup-simplify]: Simplify -1/2 into -1/2 105.369 * [taylor]: Taking taylor expansion of K in K 105.369 * [backup-simplify]: Simplify 0 into 0 105.369 * [backup-simplify]: Simplify 1 into 1 105.369 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 105.369 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 105.370 * [taylor]: Taking taylor expansion of J in K 105.370 * [backup-simplify]: Simplify J into J 105.370 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 105.370 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 105.370 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 105.370 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 105.370 * [taylor]: Taking taylor expansion of -1/2 in J 105.370 * [backup-simplify]: Simplify -1/2 into -1/2 105.370 * [taylor]: Taking taylor expansion of K in J 105.370 * [backup-simplify]: Simplify K into K 105.370 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 105.370 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 105.370 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 105.370 * [taylor]: Taking taylor expansion of J in J 105.370 * [backup-simplify]: Simplify 0 into 0 105.370 * [backup-simplify]: Simplify 1 into 1 105.370 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 105.370 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 105.370 * [backup-simplify]: Simplify (- 0) into 0 105.370 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 105.370 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 105.371 * [backup-simplify]: Simplify (+ 0) into 0 105.371 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 105.371 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 105.371 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 105.372 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 105.372 * [backup-simplify]: Simplify (- 0) into 0 105.372 * [backup-simplify]: Simplify (+ 0 0) into 0 105.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 105.373 * [backup-simplify]: Simplify 0 into 0 105.373 * [taylor]: Taking taylor expansion of 0 in J 105.373 * [backup-simplify]: Simplify 0 into 0 105.373 * [backup-simplify]: Simplify 0 into 0 105.373 * [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 0 105.374 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 105.374 * [taylor]: Taking taylor expansion of 0 in J 105.374 * [backup-simplify]: Simplify 0 into 0 105.374 * [backup-simplify]: Simplify 0 into 0 105.374 * [backup-simplify]: Simplify 0 into 0 105.374 * [backup-simplify]: Simplify 0 into 0 105.374 * [backup-simplify]: Simplify (+ 0) into 0 105.375 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 105.375 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 105.375 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 105.376 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 105.376 * [backup-simplify]: Simplify (- 0) into 0 105.377 * [backup-simplify]: Simplify (+ 0 0) into 0 105.377 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 105.377 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 105.377 * [backup-simplify]: Simplify 0 into 0 105.378 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 105.378 * * * [progress]: simplifying candidates 105.378 * * * * [progress]: [ 1 / 100 ] simplifiying candidate # 105.378 * [simplify]: Simplifying (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J) 105.378 * * [simplify]: iters left: 6 (17 enodes) 105.388 * * [simplify]: iters left: 5 (70 enodes) 105.417 * * [simplify]: iters left: 4 (145 enodes) 105.457 * * [simplify]: iters left: 3 (435 enodes) 105.700 * * [simplify]: Extracting #0: cost 1 inf + 0 105.701 * * [simplify]: Extracting #1: cost 16 inf + 0 105.701 * * [simplify]: Extracting #2: cost 28 inf + 2 105.701 * * [simplify]: Extracting #3: cost 33 inf + 44 105.701 * * [simplify]: Extracting #4: cost 142 inf + 89 105.703 * * [simplify]: Extracting #5: cost 238 inf + 3391 105.721 * * [simplify]: Extracting #6: cost 74 inf + 36414 105.754 * * [simplify]: Extracting #7: cost 1 inf + 54199 105.788 * * [simplify]: Extracting #8: cost 0 inf + 54240 105.812 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 (* (cos (/ K 2)) J))) 105.812 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (pow (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 (* (cos (/ K 2)) J))) 1)))) 105.813 * * * * [progress]: [ 2 / 100 ] simplifiying candidate # 105.813 * [simplify]: Simplifying (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J) 105.813 * * [simplify]: iters left: 6 (17 enodes) 105.818 * * [simplify]: iters left: 5 (70 enodes) 105.832 * * [simplify]: iters left: 4 (145 enodes) 105.895 * * [simplify]: iters left: 3 (435 enodes) 106.115 * * [simplify]: Extracting #0: cost 1 inf + 0 106.115 * * [simplify]: Extracting #1: cost 16 inf + 0 106.115 * * [simplify]: Extracting #2: cost 28 inf + 2 106.116 * * [simplify]: Extracting #3: cost 33 inf + 44 106.116 * * [simplify]: Extracting #4: cost 142 inf + 89 106.118 * * [simplify]: Extracting #5: cost 238 inf + 3391 106.135 * * [simplify]: Extracting #6: cost 74 inf + 36414 106.167 * * [simplify]: Extracting #7: cost 1 inf + 54199 106.202 * * [simplify]: Extracting #8: cost 0 inf + 54240 106.233 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 (* (cos (/ K 2)) J))) 106.233 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (pow (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 (* (cos (/ K 2)) J))) 1)))) 106.233 * * * * [progress]: [ 3 / 100 ] simplifiying candidate # 106.233 * [simplify]: Simplifying (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J) 106.234 * * [simplify]: iters left: 6 (17 enodes) 106.241 * * [simplify]: iters left: 5 (70 enodes) 106.254 * * [simplify]: iters left: 4 (145 enodes) 106.307 * * [simplify]: iters left: 3 (435 enodes) 106.583 * * [simplify]: Extracting #0: cost 1 inf + 0 106.583 * * [simplify]: Extracting #1: cost 16 inf + 0 106.583 * * [simplify]: Extracting #2: cost 28 inf + 2 106.584 * * [simplify]: Extracting #3: cost 33 inf + 44 106.584 * * [simplify]: Extracting #4: cost 142 inf + 89 106.588 * * [simplify]: Extracting #5: cost 238 inf + 3391 106.605 * * [simplify]: Extracting #6: cost 74 inf + 36414 106.638 * * [simplify]: Extracting #7: cost 1 inf + 54199 106.672 * * [simplify]: Extracting #8: cost 0 inf + 54240 106.709 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 (* (cos (/ K 2)) J))) 106.709 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (pow (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 (* (cos (/ K 2)) J))) 1)))) 106.710 * * * * [progress]: [ 4 / 100 ] simplifiying candidate # 106.710 * * * * [progress]: [ 5 / 100 ] simplifiying candidate # 106.710 * [simplify]: Simplifying (+ (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (log (cos (/ K 2)))) (log J)) 106.711 * * [simplify]: iters left: 6 (21 enodes) 106.722 * * [simplify]: iters left: 5 (83 enodes) 106.751 * * [simplify]: iters left: 4 (160 enodes) 106.806 * * [simplify]: iters left: 3 (452 enodes) 107.064 * * [simplify]: Extracting #0: cost 1 inf + 0 107.064 * * [simplify]: Extracting #1: cost 16 inf + 0 107.064 * * [simplify]: Extracting #2: cost 34 inf + 0 107.064 * * [simplify]: Extracting #3: cost 35 inf + 73 107.065 * * [simplify]: Extracting #4: cost 36 inf + 650 107.065 * * [simplify]: Extracting #5: cost 148 inf + 653 107.068 * * [simplify]: Extracting #6: cost 240 inf + 4224 107.078 * * [simplify]: Extracting #7: cost 51 inf + 45161 107.106 * * [simplify]: Extracting #8: cost 0 inf + 60020 107.140 * * [simplify]: Extracting #9: cost 0 inf + 59902 107.161 * [simplify]: Simplified to (+ (+ (+ (log J) (log (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (log (cos (/ K 2)))) (log -2)) 107.161 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (exp (+ (+ (+ (log J) (log (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (log (cos (/ K 2)))) (log -2)))))) 107.161 * * * * [progress]: [ 6 / 100 ] simplifiying candidate # 107.162 * [simplify]: Simplifying (+ (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (log (cos (/ K 2)))) (log J)) 107.162 * * [simplify]: iters left: 6 (20 enodes) 107.168 * * [simplify]: iters left: 5 (81 enodes) 107.182 * * [simplify]: iters left: 4 (153 enodes) 107.227 * * [simplify]: iters left: 3 (439 enodes) 107.513 * * [simplify]: Extracting #0: cost 1 inf + 0 107.513 * * [simplify]: Extracting #1: cost 16 inf + 0 107.513 * * [simplify]: Extracting #2: cost 35 inf + 0 107.513 * * [simplify]: Extracting #3: cost 38 inf + 2 107.514 * * [simplify]: Extracting #4: cost 41 inf + 326 107.514 * * [simplify]: Extracting #5: cost 145 inf + 653 107.518 * * [simplify]: Extracting #6: cost 244 inf + 3656 107.534 * * [simplify]: Extracting #7: cost 77 inf + 37290 107.553 * * [simplify]: Extracting #8: cost 3 inf + 58370 107.574 * * [simplify]: Extracting #9: cost 0 inf + 59855 107.593 * [simplify]: Simplified to (+ (+ (log J) (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))) (log (cos (/ K 2)))) 107.593 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (exp (+ (+ (log J) (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))) (log (cos (/ K 2)))))))) 107.593 * * * * [progress]: [ 7 / 100 ] simplifiying candidate # 107.594 * [simplify]: Simplifying (+ (log (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2)))) (log J)) 107.594 * * [simplify]: iters left: 6 (19 enodes) 107.600 * * [simplify]: iters left: 5 (78 enodes) 107.627 * * [simplify]: iters left: 4 (154 enodes) 107.684 * * [simplify]: iters left: 3 (439 enodes) 107.957 * * [simplify]: Extracting #0: cost 1 inf + 0 107.957 * * [simplify]: Extracting #1: cost 25 inf + 0 107.957 * * [simplify]: Extracting #2: cost 45 inf + 0 107.958 * * [simplify]: Extracting #3: cost 51 inf + 2 107.958 * * [simplify]: Extracting #4: cost 54 inf + 286 107.959 * * [simplify]: Extracting #5: cost 161 inf + 471 107.963 * * [simplify]: Extracting #6: cost 250 inf + 5584 107.975 * * [simplify]: Extracting #7: cost 59 inf + 46973 107.992 * * [simplify]: Extracting #8: cost 11 inf + 59184 108.026 * * [simplify]: Extracting #9: cost 0 inf + 65218 108.048 * [simplify]: Simplified to (+ (log J) (log (* (* (cos (/ K 2)) -2) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) 108.048 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (exp (+ (log J) (log (* (* (cos (/ K 2)) -2) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))))) 108.048 * * * * [progress]: [ 8 / 100 ] simplifiying candidate # 108.048 * * * * [progress]: [ 9 / 100 ] simplifiying candidate # 108.048 * * * * [progress]: [ 10 / 100 ] simplifiying candidate # 108.048 * [simplify]: Simplifying (* (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* J J) J)) 108.049 * * [simplify]: iters left: 6 (25 enodes) 108.056 * * [simplify]: iters left: 5 (106 enodes) 108.087 * * [simplify]: iters left: 4 (294 enodes) 108.264 * * [simplify]: Extracting #0: cost 1 inf + 0 108.264 * * [simplify]: Extracting #1: cost 67 inf + 0 108.266 * * [simplify]: Extracting #2: cost 298 inf + 45 108.269 * * [simplify]: Extracting #3: cost 398 inf + 499 108.279 * * [simplify]: Extracting #4: cost 356 inf + 24063 108.326 * * [simplify]: Extracting #5: cost 102 inf + 115031 108.386 * * [simplify]: Extracting #6: cost 1 inf + 163077 108.478 * * [simplify]: Extracting #7: cost 0 inf + 163502 108.537 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) J) (* (* -8 (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (cos (/ K 2)) (cos (/ K 2))))) (* J J)) 108.537 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (cbrt (* (* (* (cos (/ K 2)) J) (* (* -8 (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (cos (/ K 2)) (cos (/ K 2))))) (* J J)))))) 108.538 * * * * [progress]: [ 11 / 100 ] simplifiying candidate # 108.538 * [simplify]: Simplifying (* (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* J J) J)) 108.539 * * [simplify]: iters left: 6 (23 enodes) 108.553 * * [simplify]: iters left: 5 (106 enodes) 108.597 * * [simplify]: iters left: 4 (274 enodes) 108.731 * * [simplify]: Extracting #0: cost 1 inf + 0 108.731 * * [simplify]: Extracting #1: cost 52 inf + 0 108.732 * * [simplify]: Extracting #2: cost 236 inf + 2 108.733 * * [simplify]: Extracting #3: cost 253 inf + 300 108.735 * * [simplify]: Extracting #4: cost 277 inf + 4264 108.744 * * [simplify]: Extracting #5: cost 262 inf + 26694 108.795 * * [simplify]: Extracting #6: cost 57 inf + 109963 108.839 * * [simplify]: Extracting #7: cost 0 inf + 132238 108.894 * * [simplify]: Extracting #8: cost 0 inf + 131870 108.958 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* J (* J J))) (* (* (cos (/ K 2)) (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))) (* -8 (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))))) 108.959 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (cbrt (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* J (* J J))) (* (* (cos (/ K 2)) (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))) (* -8 (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))))))))) 108.959 * * * * [progress]: [ 12 / 100 ] simplifiying candidate # 108.960 * [simplify]: Simplifying (* (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2)))) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2)))) (* (* J J) J)) 108.960 * * [simplify]: iters left: 6 (21 enodes) 108.970 * * [simplify]: iters left: 5 (96 enodes) 108.992 * * [simplify]: iters left: 4 (277 enodes) 109.159 * * [simplify]: Extracting #0: cost 1 inf + 0 109.159 * * [simplify]: Extracting #1: cost 49 inf + 0 109.160 * * [simplify]: Extracting #2: cost 229 inf + 43 109.161 * * [simplify]: Extracting #3: cost 246 inf + 373 109.162 * * [simplify]: Extracting #4: cost 275 inf + 3570 109.172 * * [simplify]: Extracting #5: cost 247 inf + 31854 109.199 * * [simplify]: Extracting #6: cost 56 inf + 108672 109.275 * * [simplify]: Extracting #7: cost 0 inf + 132856 109.327 * * [simplify]: Extracting #8: cost 0 inf + 132816 109.378 * [simplify]: Simplified to (* (* (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) -2)) J) (* (* (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) -2)) J) (* (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) -2)) J))) 109.378 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (cbrt (* (* (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) -2)) J) (* (* (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) -2)) J) (* (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) -2)) J))))))) 109.379 * * * * [progress]: [ 13 / 100 ] simplifiying candidate # 109.379 * * * * [progress]: [ 14 / 100 ] simplifiying candidate # 109.379 * * * * [progress]: [ 15 / 100 ] simplifiying candidate # 109.379 * * * * [progress]: [ 16 / 100 ] simplifiying candidate # 109.379 * * * * [progress]: [ 17 / 100 ] simplifiying candidate # 109.379 * [simplify]: Simplifying (cbrt J) 109.379 * * [simplify]: iters left: 1 (2 enodes) 109.380 * * [simplify]: Extracting #0: cost 1 inf + 0 109.380 * * [simplify]: Extracting #1: cost 3 inf + 0 109.380 * * [simplify]: Extracting #2: cost 2 inf + 1 109.380 * * [simplify]: Extracting #3: cost 0 inf + 163 109.380 * [simplify]: Simplified to (cbrt J) 109.380 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) (* (cbrt J) (cbrt J))) (cbrt J))))) 109.380 * * * * [progress]: [ 18 / 100 ] simplifiying candidate # 109.380 * [simplify]: Simplifying (sqrt J) 109.380 * * [simplify]: iters left: 1 (2 enodes) 109.381 * * [simplify]: Extracting #0: cost 1 inf + 0 109.381 * * [simplify]: Extracting #1: cost 3 inf + 0 109.381 * * [simplify]: Extracting #2: cost 2 inf + 1 109.381 * * [simplify]: Extracting #3: cost 0 inf + 83 109.381 * [simplify]: Simplified to (sqrt J) 109.381 * [simplify]: Simplified (2 2 1 2) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) (sqrt J)) (sqrt J))))) 109.381 * * * * [progress]: [ 19 / 100 ] simplifiying candidate # 109.381 * * * * [progress]: [ 20 / 100 ] simplifiying candidate # 109.381 * [simplify]: Simplifying (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) 109.381 * * [simplify]: iters left: 6 (15 enodes) 109.389 * * [simplify]: iters left: 5 (59 enodes) 109.411 * * [simplify]: iters left: 4 (112 enodes) 109.456 * * [simplify]: iters left: 3 (365 enodes) 110.048 * * [simplify]: Extracting #0: cost 1 inf + 0 110.048 * * [simplify]: Extracting #1: cost 4 inf + 0 110.048 * * [simplify]: Extracting #2: cost 5 inf + 1 110.048 * * [simplify]: Extracting #3: cost 8 inf + 1 110.048 * * [simplify]: Extracting #4: cost 121 inf + 2 110.049 * * [simplify]: Extracting #5: cost 237 inf + 214 110.052 * * [simplify]: Extracting #6: cost 202 inf + 3502 110.061 * * [simplify]: Extracting #7: cost 112 inf + 21265 110.076 * * [simplify]: Extracting #8: cost 11 inf + 45496 110.092 * * [simplify]: Extracting #9: cost 0 inf + 47914 110.110 * * [simplify]: Extracting #10: cost 0 inf + 47913 110.129 * * [simplify]: Extracting #11: cost 0 inf + 47912 110.155 * [simplify]: Simplified to (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 110.155 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (cos (/ K 2)) J))))) 110.155 * * * * [progress]: [ 21 / 100 ] simplifiying candidate # 110.155 * [simplify]: Simplifying (* (* (* (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) -2) (cos (/ K 2))) J) 110.155 * * [simplify]: iters left: 6 (20 enodes) 110.162 * * [simplify]: iters left: 5 (88 enodes) 110.181 * * [simplify]: iters left: 4 (218 enodes) 110.361 * * [simplify]: Extracting #0: cost 1 inf + 0 110.361 * * [simplify]: Extracting #1: cost 17 inf + 0 110.361 * * [simplify]: Extracting #2: cost 29 inf + 2 110.362 * * [simplify]: Extracting #3: cost 33 inf + 86 110.362 * * [simplify]: Extracting #4: cost 126 inf + 89 110.364 * * [simplify]: Extracting #5: cost 327 inf + 1396 110.376 * * [simplify]: Extracting #6: cost 253 inf + 34932 110.413 * * [simplify]: Extracting #7: cost 71 inf + 99693 110.469 * * [simplify]: Extracting #8: cost 0 inf + 125482 110.511 * * [simplify]: Extracting #9: cost 0 inf + 125231 110.552 * * [simplify]: Extracting #10: cost 0 inf + 125151 110.585 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2))))) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))))) 110.585 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2))))) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))))) 110.586 * * * * [progress]: [ 22 / 100 ] simplifiying candidate # 110.586 * [simplify]: Simplifying (* (* (* (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) -2) (cos (/ K 2))) J) 110.587 * * [simplify]: iters left: 6 (19 enodes) 110.597 * * [simplify]: iters left: 5 (80 enodes) 110.624 * * [simplify]: iters left: 4 (192 enodes) 110.747 * * [simplify]: Extracting #0: cost 1 inf + 0 110.747 * * [simplify]: Extracting #1: cost 17 inf + 0 110.747 * * [simplify]: Extracting #2: cost 29 inf + 2 110.747 * * [simplify]: Extracting #3: cost 36 inf + 86 110.748 * * [simplify]: Extracting #4: cost 126 inf + 90 110.749 * * [simplify]: Extracting #5: cost 297 inf + 2114 110.765 * * [simplify]: Extracting #6: cost 134 inf + 53340 110.785 * * [simplify]: Extracting #7: cost 4 inf + 93126 110.815 * * [simplify]: Extracting #8: cost 0 inf + 94242 110.842 * * [simplify]: Extracting #9: cost 0 inf + 94164 110.886 * [simplify]: Simplified to (* (* -2 (* (cos (/ K 2)) J)) (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))) 110.886 * [simplify]: Simplified (2 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (/ (* (* -2 (* (cos (/ K 2)) J)) (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) 110.886 * * * * [progress]: [ 23 / 100 ] simplifiying candidate #real (real->posit16 (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))))))> 110.886 * * * * [progress]: [ 24 / 100 ] simplifiying candidate # 110.887 * * * * [progress]: [ 25 / 100 ] simplifiying candidate # 110.887 * [simplify]: Simplifying (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J) 110.887 * * [simplify]: iters left: 6 (17 enodes) 110.896 * * [simplify]: iters left: 5 (70 enodes) 110.921 * * [simplify]: iters left: 4 (145 enodes) 110.963 * * [simplify]: iters left: 3 (435 enodes) 111.272 * * [simplify]: Extracting #0: cost 1 inf + 0 111.272 * * [simplify]: Extracting #1: cost 16 inf + 0 111.272 * * [simplify]: Extracting #2: cost 28 inf + 2 111.273 * * [simplify]: Extracting #3: cost 33 inf + 44 111.273 * * [simplify]: Extracting #4: cost 142 inf + 89 111.276 * * [simplify]: Extracting #5: cost 238 inf + 3391 111.293 * * [simplify]: Extracting #6: cost 74 inf + 36414 111.319 * * [simplify]: Extracting #7: cost 1 inf + 54199 111.336 * * [simplify]: Extracting #8: cost 0 inf + 54240 111.365 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 (* (cos (/ K 2)) J))) 111.365 * [simplify]: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (pow (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 (* (cos (/ K 2)) J))) 1))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)))) 111.365 * * * * [progress]: [ 26 / 100 ] simplifiying candidate # 111.366 * [simplify]: Simplifying (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J) 111.366 * * [simplify]: iters left: 6 (17 enodes) 111.371 * * [simplify]: iters left: 5 (70 enodes) 111.384 * * [simplify]: iters left: 4 (145 enodes) 111.426 * * [simplify]: iters left: 3 (435 enodes) 111.685 * * [simplify]: Extracting #0: cost 1 inf + 0 111.685 * * [simplify]: Extracting #1: cost 16 inf + 0 111.685 * * [simplify]: Extracting #2: cost 28 inf + 2 111.685 * * [simplify]: Extracting #3: cost 33 inf + 44 111.685 * * [simplify]: Extracting #4: cost 142 inf + 89 111.687 * * [simplify]: Extracting #5: cost 238 inf + 3391 111.696 * * [simplify]: Extracting #6: cost 74 inf + 36414 111.718 * * [simplify]: Extracting #7: cost 1 inf + 54199 111.735 * * [simplify]: Extracting #8: cost 0 inf + 54240 111.761 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 (* (cos (/ K 2)) J))) 111.761 * [simplify]: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (pow (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 (* (cos (/ K 2)) J))) 1))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)))) 111.762 * * * * [progress]: [ 27 / 100 ] simplifiying candidate # 111.762 * [simplify]: Simplifying (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J) 111.762 * * [simplify]: iters left: 6 (17 enodes) 111.771 * * [simplify]: iters left: 5 (70 enodes) 111.784 * * [simplify]: iters left: 4 (145 enodes) 111.821 * * [simplify]: iters left: 3 (435 enodes) 112.125 * * [simplify]: Extracting #0: cost 1 inf + 0 112.125 * * [simplify]: Extracting #1: cost 16 inf + 0 112.125 * * [simplify]: Extracting #2: cost 28 inf + 2 112.125 * * [simplify]: Extracting #3: cost 33 inf + 44 112.126 * * [simplify]: Extracting #4: cost 142 inf + 89 112.127 * * [simplify]: Extracting #5: cost 238 inf + 3391 112.140 * * [simplify]: Extracting #6: cost 74 inf + 36414 112.167 * * [simplify]: Extracting #7: cost 1 inf + 54199 112.185 * * [simplify]: Extracting #8: cost 0 inf + 54240 112.212 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 (* (cos (/ K 2)) J))) 112.212 * [simplify]: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (pow (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 (* (cos (/ K 2)) J))) 1))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)))) 112.213 * * * * [progress]: [ 28 / 100 ] simplifiying candidate # 112.213 * * * * [progress]: [ 29 / 100 ] simplifiying candidate # 112.213 * [simplify]: Simplifying (+ (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (log (cos (/ K 2)))) (log J)) 112.214 * * [simplify]: iters left: 6 (21 enodes) 112.225 * * [simplify]: iters left: 5 (83 enodes) 112.253 * * [simplify]: iters left: 4 (160 enodes) 112.325 * * [simplify]: iters left: 3 (452 enodes) 112.603 * * [simplify]: Extracting #0: cost 1 inf + 0 112.604 * * [simplify]: Extracting #1: cost 16 inf + 0 112.604 * * [simplify]: Extracting #2: cost 34 inf + 0 112.604 * * [simplify]: Extracting #3: cost 35 inf + 73 112.604 * * [simplify]: Extracting #4: cost 36 inf + 650 112.605 * * [simplify]: Extracting #5: cost 148 inf + 653 112.613 * * [simplify]: Extracting #6: cost 240 inf + 4224 112.633 * * [simplify]: Extracting #7: cost 51 inf + 45161 112.655 * * [simplify]: Extracting #8: cost 0 inf + 60020 112.673 * * [simplify]: Extracting #9: cost 0 inf + 59902 112.709 * [simplify]: Simplified to (+ (+ (+ (log J) (log (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (log (cos (/ K 2)))) (log -2)) 112.709 * [simplify]: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (exp (+ (+ (+ (log J) (log (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (log (cos (/ K 2)))) (log -2))))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)))) 112.710 * * * * [progress]: [ 30 / 100 ] simplifiying candidate # 112.710 * [simplify]: Simplifying (+ (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (log (cos (/ K 2)))) (log J)) 112.710 * * [simplify]: iters left: 6 (20 enodes) 112.721 * * [simplify]: iters left: 5 (81 enodes) 112.751 * * [simplify]: iters left: 4 (153 enodes) 112.792 * * [simplify]: iters left: 3 (439 enodes) 113.084 * * [simplify]: Extracting #0: cost 1 inf + 0 113.084 * * [simplify]: Extracting #1: cost 16 inf + 0 113.084 * * [simplify]: Extracting #2: cost 35 inf + 0 113.085 * * [simplify]: Extracting #3: cost 38 inf + 2 113.085 * * [simplify]: Extracting #4: cost 41 inf + 326 113.086 * * [simplify]: Extracting #5: cost 145 inf + 653 113.089 * * [simplify]: Extracting #6: cost 244 inf + 3656 113.104 * * [simplify]: Extracting #7: cost 77 inf + 37290 113.137 * * [simplify]: Extracting #8: cost 3 inf + 58370 113.173 * * [simplify]: Extracting #9: cost 0 inf + 59855 113.209 * [simplify]: Simplified to (+ (+ (log J) (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))) (log (cos (/ K 2)))) 113.209 * [simplify]: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (exp (+ (+ (log J) (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))) (log (cos (/ K 2))))))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)))) 113.209 * * * * [progress]: [ 31 / 100 ] simplifiying candidate # 113.210 * [simplify]: Simplifying (+ (log (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2)))) (log J)) 113.210 * * [simplify]: iters left: 6 (19 enodes) 113.224 * * [simplify]: iters left: 5 (78 enodes) 113.251 * * [simplify]: iters left: 4 (154 enodes) 113.319 * * [simplify]: iters left: 3 (439 enodes) 113.613 * * [simplify]: Extracting #0: cost 1 inf + 0 113.613 * * [simplify]: Extracting #1: cost 25 inf + 0 113.613 * * [simplify]: Extracting #2: cost 45 inf + 0 113.613 * * [simplify]: Extracting #3: cost 51 inf + 2 113.614 * * [simplify]: Extracting #4: cost 54 inf + 286 113.615 * * [simplify]: Extracting #5: cost 161 inf + 471 113.618 * * [simplify]: Extracting #6: cost 250 inf + 5584 113.636 * * [simplify]: Extracting #7: cost 59 inf + 46973 113.654 * * [simplify]: Extracting #8: cost 11 inf + 59184 113.684 * * [simplify]: Extracting #9: cost 0 inf + 65218 113.716 * [simplify]: Simplified to (+ (log J) (log (* (* (cos (/ K 2)) -2) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) 113.716 * [simplify]: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (exp (+ (log J) (log (* (* (cos (/ K 2)) -2) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)))) 113.717 * * * * [progress]: [ 32 / 100 ] simplifiying candidate # 113.717 * * * * [progress]: [ 33 / 100 ] simplifiying candidate # 113.717 * * * * [progress]: [ 34 / 100 ] simplifiying candidate # 113.717 * [simplify]: Simplifying (* (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* J J) J)) 113.717 * * [simplify]: iters left: 6 (25 enodes) 113.725 * * [simplify]: iters left: 5 (106 enodes) 113.760 * * [simplify]: iters left: 4 (294 enodes) 113.940 * * [simplify]: Extracting #0: cost 1 inf + 0 113.940 * * [simplify]: Extracting #1: cost 67 inf + 0 113.941 * * [simplify]: Extracting #2: cost 298 inf + 45 113.943 * * [simplify]: Extracting #3: cost 398 inf + 499 113.952 * * [simplify]: Extracting #4: cost 356 inf + 24063 114.002 * * [simplify]: Extracting #5: cost 102 inf + 115031 114.060 * * [simplify]: Extracting #6: cost 1 inf + 163077 114.114 * * [simplify]: Extracting #7: cost 0 inf + 163502 114.173 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) J) (* (* -8 (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (cos (/ K 2)) (cos (/ K 2))))) (* J J)) 114.173 * [simplify]: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (cbrt (* (* (* (cos (/ K 2)) J) (* (* -8 (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (cos (/ K 2)) (cos (/ K 2))))) (* J J))))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)))) 114.173 * * * * [progress]: [ 35 / 100 ] simplifiying candidate # 114.173 * [simplify]: Simplifying (* (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* J J) J)) 114.173 * * [simplify]: iters left: 6 (23 enodes) 114.181 * * [simplify]: iters left: 5 (106 enodes) 114.216 * * [simplify]: iters left: 4 (274 enodes) 114.331 * * [simplify]: Extracting #0: cost 1 inf + 0 114.331 * * [simplify]: Extracting #1: cost 52 inf + 0 114.332 * * [simplify]: Extracting #2: cost 236 inf + 2 114.333 * * [simplify]: Extracting #3: cost 253 inf + 300 114.334 * * [simplify]: Extracting #4: cost 277 inf + 4264 114.346 * * [simplify]: Extracting #5: cost 262 inf + 26694 114.375 * * [simplify]: Extracting #6: cost 57 inf + 109963 114.442 * * [simplify]: Extracting #7: cost 0 inf + 132238 114.501 * * [simplify]: Extracting #8: cost 0 inf + 131870 114.556 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* J (* J J))) (* (* (cos (/ K 2)) (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))) (* -8 (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))))) 114.556 * [simplify]: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (cbrt (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* J (* J J))) (* (* (cos (/ K 2)) (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))) (* -8 (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))))))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)))) 114.557 * * * * [progress]: [ 36 / 100 ] simplifiying candidate # 114.557 * [simplify]: Simplifying (* (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2)))) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2)))) (* (* J J) J)) 114.558 * * [simplify]: iters left: 6 (21 enodes) 114.571 * * [simplify]: iters left: 5 (96 enodes) 114.610 * * [simplify]: iters left: 4 (277 enodes) 114.791 * * [simplify]: Extracting #0: cost 1 inf + 0 114.791 * * [simplify]: Extracting #1: cost 49 inf + 0 114.792 * * [simplify]: Extracting #2: cost 229 inf + 43 114.794 * * [simplify]: Extracting #3: cost 246 inf + 373 114.797 * * [simplify]: Extracting #4: cost 275 inf + 3570 114.809 * * [simplify]: Extracting #5: cost 247 inf + 31854 114.863 * * [simplify]: Extracting #6: cost 56 inf + 108672 114.940 * * [simplify]: Extracting #7: cost 0 inf + 132856 114.985 * * [simplify]: Extracting #8: cost 0 inf + 132816 115.041 * [simplify]: Simplified to (* (* (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) -2)) J) (* (* (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) -2)) J) (* (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) -2)) J))) 115.041 * [simplify]: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (cbrt (* (* (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) -2)) J) (* (* (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) -2)) J) (* (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) -2)) J)))))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)))) 115.041 * * * * [progress]: [ 37 / 100 ] simplifiying candidate # 115.041 * * * * [progress]: [ 38 / 100 ] simplifiying candidate # 115.041 * * * * [progress]: [ 39 / 100 ] simplifiying candidate # 115.041 * * * * [progress]: [ 40 / 100 ] simplifiying candidate # 115.041 * * * * [progress]: [ 41 / 100 ] simplifiying candidate # 115.041 * [simplify]: Simplifying (cbrt J) 115.041 * * [simplify]: iters left: 1 (2 enodes) 115.042 * * [simplify]: Extracting #0: cost 1 inf + 0 115.042 * * [simplify]: Extracting #1: cost 3 inf + 0 115.042 * * [simplify]: Extracting #2: cost 2 inf + 1 115.042 * * [simplify]: Extracting #3: cost 0 inf + 163 115.042 * [simplify]: Simplified to (cbrt J) 115.042 * [simplify]: Simplified (2 1 2 1 2) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) (* (cbrt J) (cbrt J))) (cbrt J)))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)))) 115.042 * * * * [progress]: [ 42 / 100 ] simplifiying candidate # 115.042 * [simplify]: Simplifying (sqrt J) 115.043 * * [simplify]: iters left: 1 (2 enodes) 115.043 * * [simplify]: Extracting #0: cost 1 inf + 0 115.043 * * [simplify]: Extracting #1: cost 3 inf + 0 115.043 * * [simplify]: Extracting #2: cost 2 inf + 1 115.043 * * [simplify]: Extracting #3: cost 0 inf + 83 115.043 * [simplify]: Simplified to (sqrt J) 115.043 * [simplify]: Simplified (2 1 2 1 2) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) (sqrt J)) (sqrt J)))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)))) 115.043 * * * * [progress]: [ 43 / 100 ] simplifiying candidate # 115.043 * * * * [progress]: [ 44 / 100 ] simplifiying candidate # 115.044 * [simplify]: Simplifying (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) 115.044 * * [simplify]: iters left: 6 (15 enodes) 115.048 * * [simplify]: iters left: 5 (59 enodes) 115.063 * * [simplify]: iters left: 4 (112 enodes) 115.094 * * [simplify]: iters left: 3 (365 enodes) 115.350 * * [simplify]: Extracting #0: cost 1 inf + 0 115.350 * * [simplify]: Extracting #1: cost 4 inf + 0 115.350 * * [simplify]: Extracting #2: cost 5 inf + 1 115.350 * * [simplify]: Extracting #3: cost 8 inf + 1 115.351 * * [simplify]: Extracting #4: cost 121 inf + 2 115.357 * * [simplify]: Extracting #5: cost 237 inf + 214 115.360 * * [simplify]: Extracting #6: cost 202 inf + 3502 115.370 * * [simplify]: Extracting #7: cost 112 inf + 21265 115.396 * * [simplify]: Extracting #8: cost 11 inf + 45496 115.426 * * [simplify]: Extracting #9: cost 0 inf + 47914 115.456 * * [simplify]: Extracting #10: cost 0 inf + 47913 115.487 * * [simplify]: Extracting #11: cost 0 inf + 47912 115.518 * [simplify]: Simplified to (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 115.518 * [simplify]: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (cos (/ K 2)) J)))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)))) 115.519 * * * * [progress]: [ 45 / 100 ] simplifiying candidate # 115.519 * [simplify]: Simplifying (* (* (* (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) -2) (cos (/ K 2))) J) 115.519 * * [simplify]: iters left: 6 (20 enodes) 115.532 * * [simplify]: iters left: 5 (88 enodes) 115.566 * * [simplify]: iters left: 4 (218 enodes) 115.739 * * [simplify]: Extracting #0: cost 1 inf + 0 115.739 * * [simplify]: Extracting #1: cost 17 inf + 0 115.739 * * [simplify]: Extracting #2: cost 29 inf + 2 115.740 * * [simplify]: Extracting #3: cost 33 inf + 86 115.740 * * [simplify]: Extracting #4: cost 126 inf + 89 115.742 * * [simplify]: Extracting #5: cost 327 inf + 1396 115.758 * * [simplify]: Extracting #6: cost 253 inf + 34932 115.795 * * [simplify]: Extracting #7: cost 71 inf + 99693 115.850 * * [simplify]: Extracting #8: cost 0 inf + 125482 115.888 * * [simplify]: Extracting #9: cost 0 inf + 125231 115.942 * * [simplify]: Extracting #10: cost 0 inf + 125151 115.987 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2))))) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))))) 115.987 * [simplify]: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2))))) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)))) 115.988 * * * * [progress]: [ 46 / 100 ] simplifiying candidate # 115.988 * [simplify]: Simplifying (* (* (* (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) -2) (cos (/ K 2))) J) 115.988 * * [simplify]: iters left: 6 (19 enodes) 115.994 * * [simplify]: iters left: 5 (80 enodes) 116.025 * * [simplify]: iters left: 4 (192 enodes) 116.158 * * [simplify]: Extracting #0: cost 1 inf + 0 116.158 * * [simplify]: Extracting #1: cost 17 inf + 0 116.158 * * [simplify]: Extracting #2: cost 29 inf + 2 116.159 * * [simplify]: Extracting #3: cost 36 inf + 86 116.159 * * [simplify]: Extracting #4: cost 126 inf + 90 116.160 * * [simplify]: Extracting #5: cost 297 inf + 2114 116.169 * * [simplify]: Extracting #6: cost 134 inf + 53340 116.195 * * [simplify]: Extracting #7: cost 4 inf + 93126 116.238 * * [simplify]: Extracting #8: cost 0 inf + 94242 116.280 * * [simplify]: Extracting #9: cost 0 inf + 94164 116.303 * [simplify]: Simplified to (* (* -2 (* (cos (/ K 2)) J)) (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))) 116.303 * [simplify]: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (/ (* (* -2 (* (cos (/ K 2)) J)) (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)))) 116.304 * * * * [progress]: [ 47 / 100 ] simplifiying candidate #real (real->posit16 (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))))> 116.304 * * * * [progress]: [ 48 / 100 ] simplifiying candidate # 116.304 * * * * [progress]: [ 49 / 100 ] simplifiying candidate # 116.304 * [simplify]: Simplifying (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J) 116.304 * * [simplify]: iters left: 6 (17 enodes) 116.309 * * [simplify]: iters left: 5 (70 enodes) 116.322 * * [simplify]: iters left: 4 (145 enodes) 116.383 * * [simplify]: iters left: 3 (435 enodes) 116.611 * * [simplify]: Extracting #0: cost 1 inf + 0 116.611 * * [simplify]: Extracting #1: cost 16 inf + 0 116.611 * * [simplify]: Extracting #2: cost 28 inf + 2 116.611 * * [simplify]: Extracting #3: cost 33 inf + 44 116.611 * * [simplify]: Extracting #4: cost 142 inf + 89 116.613 * * [simplify]: Extracting #5: cost 238 inf + 3391 116.622 * * [simplify]: Extracting #6: cost 74 inf + 36414 116.639 * * [simplify]: Extracting #7: cost 1 inf + 54199 116.659 * * [simplify]: Extracting #8: cost 0 inf + 54240 116.695 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 (* (cos (/ K 2)) J))) 116.695 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (cbrt (pow (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 (* (cos (/ K 2)) J))) 1)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)))) 116.696 * * * * [progress]: [ 50 / 100 ] simplifiying candidate # 116.696 * [simplify]: Simplifying (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J) 116.696 * * [simplify]: iters left: 6 (17 enodes) 116.706 * * [simplify]: iters left: 5 (70 enodes) 116.732 * * [simplify]: iters left: 4 (145 enodes) 116.801 * * [simplify]: iters left: 3 (435 enodes) 117.095 * * [simplify]: Extracting #0: cost 1 inf + 0 117.095 * * [simplify]: Extracting #1: cost 16 inf + 0 117.096 * * [simplify]: Extracting #2: cost 28 inf + 2 117.096 * * [simplify]: Extracting #3: cost 33 inf + 44 117.096 * * [simplify]: Extracting #4: cost 142 inf + 89 117.100 * * [simplify]: Extracting #5: cost 238 inf + 3391 117.117 * * [simplify]: Extracting #6: cost 74 inf + 36414 117.150 * * [simplify]: Extracting #7: cost 1 inf + 54199 117.187 * * [simplify]: Extracting #8: cost 0 inf + 54240 117.221 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 (* (cos (/ K 2)) J))) 117.221 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (cbrt (pow (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 (* (cos (/ K 2)) J))) 1)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)))) 117.221 * * * * [progress]: [ 51 / 100 ] simplifiying candidate # 117.221 * [simplify]: Simplifying (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J) 117.222 * * [simplify]: iters left: 6 (17 enodes) 117.231 * * [simplify]: iters left: 5 (70 enodes) 117.256 * * [simplify]: iters left: 4 (145 enodes) 117.323 * * [simplify]: iters left: 3 (435 enodes) 117.567 * * [simplify]: Extracting #0: cost 1 inf + 0 117.567 * * [simplify]: Extracting #1: cost 16 inf + 0 117.567 * * [simplify]: Extracting #2: cost 28 inf + 2 117.567 * * [simplify]: Extracting #3: cost 33 inf + 44 117.568 * * [simplify]: Extracting #4: cost 142 inf + 89 117.571 * * [simplify]: Extracting #5: cost 238 inf + 3391 117.588 * * [simplify]: Extracting #6: cost 74 inf + 36414 117.620 * * [simplify]: Extracting #7: cost 1 inf + 54199 117.646 * * [simplify]: Extracting #8: cost 0 inf + 54240 117.663 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 (* (cos (/ K 2)) J))) 117.664 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (cbrt (pow (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 (* (cos (/ K 2)) J))) 1)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)))) 117.664 * * * * [progress]: [ 52 / 100 ] simplifiying candidate # 117.664 * * * * [progress]: [ 53 / 100 ] simplifiying candidate # 117.664 * [simplify]: Simplifying (+ (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (log (cos (/ K 2)))) (log J)) 117.664 * * [simplify]: iters left: 6 (21 enodes) 117.671 * * [simplify]: iters left: 5 (83 enodes) 117.698 * * [simplify]: iters left: 4 (160 enodes) 117.742 * * [simplify]: iters left: 3 (452 enodes) 118.036 * * [simplify]: Extracting #0: cost 1 inf + 0 118.036 * * [simplify]: Extracting #1: cost 16 inf + 0 118.036 * * [simplify]: Extracting #2: cost 34 inf + 0 118.036 * * [simplify]: Extracting #3: cost 35 inf + 73 118.037 * * [simplify]: Extracting #4: cost 36 inf + 650 118.037 * * [simplify]: Extracting #5: cost 148 inf + 653 118.039 * * [simplify]: Extracting #6: cost 240 inf + 4224 118.049 * * [simplify]: Extracting #7: cost 51 inf + 45161 118.085 * * [simplify]: Extracting #8: cost 0 inf + 60020 118.103 * * [simplify]: Extracting #9: cost 0 inf + 59902 118.125 * [simplify]: Simplified to (+ (+ (+ (log J) (log (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (log (cos (/ K 2)))) (log -2)) 118.125 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (cbrt (exp (+ (+ (+ (log J) (log (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (log (cos (/ K 2)))) (log -2)))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)))) 118.126 * * * * [progress]: [ 54 / 100 ] simplifiying candidate # 118.126 * [simplify]: Simplifying (+ (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (log (cos (/ K 2)))) (log J)) 118.126 * * [simplify]: iters left: 6 (20 enodes) 118.134 * * [simplify]: iters left: 5 (81 enodes) 118.149 * * [simplify]: iters left: 4 (153 enodes) 118.206 * * [simplify]: iters left: 3 (439 enodes) 118.501 * * [simplify]: Extracting #0: cost 1 inf + 0 118.501 * * [simplify]: Extracting #1: cost 16 inf + 0 118.502 * * [simplify]: Extracting #2: cost 35 inf + 0 118.502 * * [simplify]: Extracting #3: cost 38 inf + 2 118.502 * * [simplify]: Extracting #4: cost 41 inf + 326 118.503 * * [simplify]: Extracting #5: cost 145 inf + 653 118.506 * * [simplify]: Extracting #6: cost 244 inf + 3656 118.522 * * [simplify]: Extracting #7: cost 77 inf + 37290 118.546 * * [simplify]: Extracting #8: cost 3 inf + 58370 118.570 * * [simplify]: Extracting #9: cost 0 inf + 59855 118.590 * [simplify]: Simplified to (+ (+ (log J) (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))) (log (cos (/ K 2)))) 118.590 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (cbrt (exp (+ (+ (log J) (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))) (log (cos (/ K 2)))))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)))) 118.590 * * * * [progress]: [ 55 / 100 ] simplifiying candidate # 118.591 * [simplify]: Simplifying (+ (log (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2)))) (log J)) 118.591 * * [simplify]: iters left: 6 (19 enodes) 118.596 * * [simplify]: iters left: 5 (78 enodes) 118.616 * * [simplify]: iters left: 4 (154 enodes) 118.661 * * [simplify]: iters left: 3 (439 enodes) 118.912 * * [simplify]: Extracting #0: cost 1 inf + 0 118.912 * * [simplify]: Extracting #1: cost 25 inf + 0 118.912 * * [simplify]: Extracting #2: cost 45 inf + 0 118.912 * * [simplify]: Extracting #3: cost 51 inf + 2 118.913 * * [simplify]: Extracting #4: cost 54 inf + 286 118.913 * * [simplify]: Extracting #5: cost 161 inf + 471 118.915 * * [simplify]: Extracting #6: cost 250 inf + 5584 118.931 * * [simplify]: Extracting #7: cost 59 inf + 46973 118.955 * * [simplify]: Extracting #8: cost 11 inf + 59184 118.979 * * [simplify]: Extracting #9: cost 0 inf + 65218 119.017 * [simplify]: Simplified to (+ (log J) (log (* (* (cos (/ K 2)) -2) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) 119.017 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (cbrt (exp (+ (log J) (log (* (* (cos (/ K 2)) -2) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)))) 119.018 * * * * [progress]: [ 56 / 100 ] simplifiying candidate # 119.018 * * * * [progress]: [ 57 / 100 ] simplifiying candidate # 119.018 * * * * [progress]: [ 58 / 100 ] simplifiying candidate # 119.019 * [simplify]: Simplifying (* (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* J J) J)) 119.019 * * [simplify]: iters left: 6 (25 enodes) 119.033 * * [simplify]: iters left: 5 (106 enodes) 119.075 * * [simplify]: iters left: 4 (294 enodes) 119.236 * * [simplify]: Extracting #0: cost 1 inf + 0 119.236 * * [simplify]: Extracting #1: cost 67 inf + 0 119.237 * * [simplify]: Extracting #2: cost 298 inf + 45 119.238 * * [simplify]: Extracting #3: cost 398 inf + 499 119.243 * * [simplify]: Extracting #4: cost 356 inf + 24063 119.282 * * [simplify]: Extracting #5: cost 102 inf + 115031 119.335 * * [simplify]: Extracting #6: cost 1 inf + 163077 119.404 * * [simplify]: Extracting #7: cost 0 inf + 163502 119.473 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) J) (* (* -8 (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (cos (/ K 2)) (cos (/ K 2))))) (* J J)) 119.473 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (cbrt (cbrt (* (* (* (cos (/ K 2)) J) (* (* -8 (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (cos (/ K 2)) (cos (/ K 2))))) (* J J)))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)))) 119.474 * * * * [progress]: [ 59 / 100 ] simplifiying candidate # 119.474 * [simplify]: Simplifying (* (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* J J) J)) 119.475 * * [simplify]: iters left: 6 (23 enodes) 119.489 * * [simplify]: iters left: 5 (106 enodes) 119.531 * * [simplify]: iters left: 4 (274 enodes) 119.706 * * [simplify]: Extracting #0: cost 1 inf + 0 119.707 * * [simplify]: Extracting #1: cost 52 inf + 0 119.707 * * [simplify]: Extracting #2: cost 236 inf + 2 119.708 * * [simplify]: Extracting #3: cost 253 inf + 300 119.710 * * [simplify]: Extracting #4: cost 277 inf + 4264 119.716 * * [simplify]: Extracting #5: cost 262 inf + 26694 119.747 * * [simplify]: Extracting #6: cost 57 inf + 109963 119.801 * * [simplify]: Extracting #7: cost 0 inf + 132238 119.857 * * [simplify]: Extracting #8: cost 0 inf + 131870 119.937 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* J (* J J))) (* (* (cos (/ K 2)) (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))) (* -8 (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))))) 119.937 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (cbrt (cbrt (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* J (* J J))) (* (* (cos (/ K 2)) (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))) (* -8 (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))))))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)))) 119.938 * * * * [progress]: [ 60 / 100 ] simplifiying candidate # 119.938 * [simplify]: Simplifying (* (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2)))) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2)))) (* (* J J) J)) 119.939 * * [simplify]: iters left: 6 (21 enodes) 119.951 * * [simplify]: iters left: 5 (96 enodes) 119.977 * * [simplify]: iters left: 4 (277 enodes) 120.117 * * [simplify]: Extracting #0: cost 1 inf + 0 120.117 * * [simplify]: Extracting #1: cost 49 inf + 0 120.118 * * [simplify]: Extracting #2: cost 229 inf + 43 120.119 * * [simplify]: Extracting #3: cost 246 inf + 373 120.121 * * [simplify]: Extracting #4: cost 275 inf + 3570 120.127 * * [simplify]: Extracting #5: cost 247 inf + 31854 120.166 * * [simplify]: Extracting #6: cost 56 inf + 108672 120.245 * * [simplify]: Extracting #7: cost 0 inf + 132856 120.297 * * [simplify]: Extracting #8: cost 0 inf + 132816 120.375 * [simplify]: Simplified to (* (* (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) -2)) J) (* (* (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) -2)) J) (* (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) -2)) J))) 120.375 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (cbrt (cbrt (* (* (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) -2)) J) (* (* (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) -2)) J) (* (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) -2)) J))))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)))) 120.375 * * * * [progress]: [ 61 / 100 ] simplifiying candidate # 120.375 * * * * [progress]: [ 62 / 100 ] simplifiying candidate # 120.376 * * * * [progress]: [ 63 / 100 ] simplifiying candidate # 120.376 * * * * [progress]: [ 64 / 100 ] simplifiying candidate # 120.376 * * * * [progress]: [ 65 / 100 ] simplifiying candidate # 120.376 * [simplify]: Simplifying (cbrt J) 120.376 * * [simplify]: iters left: 1 (2 enodes) 120.377 * * [simplify]: Extracting #0: cost 1 inf + 0 120.377 * * [simplify]: Extracting #1: cost 3 inf + 0 120.377 * * [simplify]: Extracting #2: cost 2 inf + 1 120.377 * * [simplify]: Extracting #3: cost 0 inf + 163 120.377 * [simplify]: Simplified to (cbrt J) 120.377 * [simplify]: Simplified (2 1 1 1 2) to (λ (J K U) (* (* (cbrt (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) (* (cbrt J) (cbrt J))) (cbrt J))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)))) 120.378 * * * * [progress]: [ 66 / 100 ] simplifiying candidate # 120.378 * [simplify]: Simplifying (sqrt J) 120.378 * * [simplify]: iters left: 1 (2 enodes) 120.379 * * [simplify]: Extracting #0: cost 1 inf + 0 120.379 * * [simplify]: Extracting #1: cost 3 inf + 0 120.379 * * [simplify]: Extracting #2: cost 2 inf + 1 120.379 * * [simplify]: Extracting #3: cost 0 inf + 83 120.379 * [simplify]: Simplified to (sqrt J) 120.379 * [simplify]: Simplified (2 1 1 1 2) to (λ (J K U) (* (* (cbrt (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) (sqrt J)) (sqrt J))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)))) 120.379 * * * * [progress]: [ 67 / 100 ] simplifiying candidate # 120.380 * * * * [progress]: [ 68 / 100 ] simplifiying candidate # 120.380 * [simplify]: Simplifying (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) 120.380 * * [simplify]: iters left: 6 (15 enodes) 120.389 * * [simplify]: iters left: 5 (59 enodes) 120.409 * * [simplify]: iters left: 4 (112 enodes) 120.465 * * [simplify]: iters left: 3 (365 enodes) 120.804 * * [simplify]: Extracting #0: cost 1 inf + 0 120.804 * * [simplify]: Extracting #1: cost 4 inf + 0 120.804 * * [simplify]: Extracting #2: cost 5 inf + 1 120.804 * * [simplify]: Extracting #3: cost 8 inf + 1 120.804 * * [simplify]: Extracting #4: cost 121 inf + 2 120.806 * * [simplify]: Extracting #5: cost 237 inf + 214 120.808 * * [simplify]: Extracting #6: cost 202 inf + 3502 120.812 * * [simplify]: Extracting #7: cost 112 inf + 21265 120.825 * * [simplify]: Extracting #8: cost 11 inf + 45496 120.846 * * [simplify]: Extracting #9: cost 0 inf + 47914 120.865 * * [simplify]: Extracting #10: cost 0 inf + 47913 120.895 * * [simplify]: Extracting #11: cost 0 inf + 47912 120.925 * [simplify]: Simplified to (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 120.925 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (cos (/ K 2)) J))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)))) 120.925 * * * * [progress]: [ 69 / 100 ] simplifiying candidate # 120.926 * [simplify]: Simplifying (* (* (* (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) -2) (cos (/ K 2))) J) 120.926 * * [simplify]: iters left: 6 (20 enodes) 120.938 * * [simplify]: iters left: 5 (88 enodes) 120.977 * * [simplify]: iters left: 4 (218 enodes) 121.091 * * [simplify]: Extracting #0: cost 1 inf + 0 121.091 * * [simplify]: Extracting #1: cost 17 inf + 0 121.091 * * [simplify]: Extracting #2: cost 29 inf + 2 121.091 * * [simplify]: Extracting #3: cost 33 inf + 86 121.091 * * [simplify]: Extracting #4: cost 126 inf + 89 121.092 * * [simplify]: Extracting #5: cost 327 inf + 1396 121.098 * * [simplify]: Extracting #6: cost 253 inf + 34932 121.124 * * [simplify]: Extracting #7: cost 71 inf + 99693 121.161 * * [simplify]: Extracting #8: cost 0 inf + 125482 121.214 * * [simplify]: Extracting #9: cost 0 inf + 125231 121.248 * * [simplify]: Extracting #10: cost 0 inf + 125151 121.294 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2))))) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))))) 121.294 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (cbrt (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2))))) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)))) 121.294 * * * * [progress]: [ 70 / 100 ] simplifiying candidate # 121.295 * [simplify]: Simplifying (* (* (* (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) -2) (cos (/ K 2))) J) 121.295 * * [simplify]: iters left: 6 (19 enodes) 121.301 * * [simplify]: iters left: 5 (80 enodes) 121.322 * * [simplify]: iters left: 4 (192 enodes) 121.453 * * [simplify]: Extracting #0: cost 1 inf + 0 121.454 * * [simplify]: Extracting #1: cost 17 inf + 0 121.454 * * [simplify]: Extracting #2: cost 29 inf + 2 121.454 * * [simplify]: Extracting #3: cost 36 inf + 86 121.455 * * [simplify]: Extracting #4: cost 126 inf + 90 121.457 * * [simplify]: Extracting #5: cost 297 inf + 2114 121.467 * * [simplify]: Extracting #6: cost 134 inf + 53340 121.490 * * [simplify]: Extracting #7: cost 4 inf + 93126 121.512 * * [simplify]: Extracting #8: cost 0 inf + 94242 121.547 * * [simplify]: Extracting #9: cost 0 inf + 94164 121.569 * [simplify]: Simplified to (* (* -2 (* (cos (/ K 2)) J)) (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))) 121.569 * [simplify]: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (cbrt (/ (* (* -2 (* (cos (/ K 2)) J)) (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)))) 121.569 * * * * [progress]: [ 71 / 100 ] simplifiying candidate #real (real->posit16 (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))))> 121.569 * * * * [progress]: [ 72 / 100 ] simplifiying candidate # 121.569 * * * * [progress]: [ 73 / 100 ] simplifiying candidate # 121.569 * * * * [progress]: [ 74 / 100 ] simplifiying candidate # 121.569 * * * * [progress]: [ 75 / 100 ] simplifiying candidate # 121.569 * * * * [progress]: [ 76 / 100 ] simplifiying candidate # 121.569 * * * * [progress]: [ 77 / 100 ] simplifiying candidate # 121.570 * * * * [progress]: [ 78 / 100 ] simplifiying candidate # 121.570 * * * * [progress]: [ 79 / 100 ] simplifiying candidate # 121.570 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 121.570 * * [simplify]: iters left: 6 (15 enodes) 121.574 * * [simplify]: iters left: 5 (59 enodes) 121.590 * * [simplify]: iters left: 4 (112 enodes) 121.637 * * [simplify]: iters left: 3 (365 enodes) 121.881 * * [simplify]: Extracting #0: cost 1 inf + 0 121.881 * * [simplify]: Extracting #1: cost 4 inf + 0 121.881 * * [simplify]: Extracting #2: cost 7 inf + 0 121.881 * * [simplify]: Extracting #3: cost 10 inf + 0 121.882 * * [simplify]: Extracting #4: cost 122 inf + 1 121.883 * * [simplify]: Extracting #5: cost 241 inf + 89 121.885 * * [simplify]: Extracting #6: cost 203 inf + 3666 121.889 * * [simplify]: Extracting #7: cost 128 inf + 17960 121.901 * * [simplify]: Extracting #8: cost 13 inf + 45848 121.921 * * [simplify]: Extracting #9: cost 0 inf + 48961 121.936 * [simplify]: Simplified to (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) 121.936 * [simplify]: Simplified (2 2 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (* (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))) (sqrt (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)))) 121.936 * * * * [progress]: [ 80 / 100 ] simplifiying candidate # 121.937 * [simplify]: Simplifying (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) 121.937 * * [simplify]: iters left: 6 (14 enodes) 121.941 * * [simplify]: iters left: 5 (55 enodes) 121.959 * * [simplify]: iters left: 4 (108 enodes) 122.013 * * [simplify]: iters left: 3 (363 enodes) 122.262 * * [simplify]: Extracting #0: cost 1 inf + 0 122.263 * * [simplify]: Extracting #1: cost 3 inf + 0 122.263 * * [simplify]: Extracting #2: cost 5 inf + 0 122.263 * * [simplify]: Extracting #3: cost 8 inf + 0 122.263 * * [simplify]: Extracting #4: cost 123 inf + 1 122.267 * * [simplify]: Extracting #5: cost 234 inf + 420 122.268 * * [simplify]: Extracting #6: cost 203 inf + 3175 122.273 * * [simplify]: Extracting #7: cost 127 inf + 18949 122.286 * * [simplify]: Extracting #8: cost 7 inf + 46860 122.308 * * [simplify]: Extracting #9: cost 0 inf + 48232 122.323 * [simplify]: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 122.323 * [simplify]: Simplified (2 2 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (* (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)))) 122.323 * * * * [progress]: [ 81 / 100 ] simplifiying candidate # 122.324 * [simplify]: Simplifying (sqrt 1) 122.324 * * [simplify]: iters left: 1 (2 enodes) 122.326 * * [simplify]: Extracting #0: cost 1 inf + 0 122.326 * * [simplify]: Extracting #1: cost 0 inf + 1 122.326 * [simplify]: Simplified to 1 122.326 * [simplify]: Simplified (2 2 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (* 1 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (cos (/ K 2))) J)))) 122.326 * * * * [progress]: [ 82 / 100 ] simplifiying candidate # 122.326 * [simplify]: Simplifying (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) 122.327 * * [simplify]: iters left: 6 (16 enodes) 122.332 * * [simplify]: iters left: 5 (70 enodes) 122.353 * * [simplify]: iters left: 4 (176 enodes) 122.471 * * [simplify]: Extracting #0: cost 1 inf + 0 122.471 * * [simplify]: Extracting #1: cost 3 inf + 0 122.471 * * [simplify]: Extracting #2: cost 6 inf + 0 122.472 * * [simplify]: Extracting #3: cost 103 inf + 1 122.472 * * [simplify]: Extracting #4: cost 306 inf + 6 122.474 * * [simplify]: Extracting #5: cost 338 inf + 1810 122.478 * * [simplify]: Extracting #6: cost 242 inf + 27932 122.502 * * [simplify]: Extracting #7: cost 28 inf + 100762 122.528 * * [simplify]: Extracting #8: cost 0 inf + 110036 122.569 * [simplify]: Simplified to (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))))))) 122.569 * [simplify]: Simplified (2 2 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (/ (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 (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) -2) (cos (/ K 2))) J)))) 122.570 * * * * [progress]: [ 83 / 100 ] simplifiying candidate # 122.570 * [simplify]: Simplifying (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) 122.571 * * [simplify]: iters left: 6 (15 enodes) 122.580 * * [simplify]: iters left: 5 (62 enodes) 122.603 * * [simplify]: iters left: 4 (150 enodes) 122.721 * * [simplify]: Extracting #0: cost 1 inf + 0 122.721 * * [simplify]: Extracting #1: cost 3 inf + 0 122.721 * * [simplify]: Extracting #2: cost 9 inf + 0 122.721 * * [simplify]: Extracting #3: cost 105 inf + 2 122.723 * * [simplify]: Extracting #4: cost 286 inf + 6 122.725 * * [simplify]: Extracting #5: cost 280 inf + 1923 122.734 * * [simplify]: Extracting #6: cost 191 inf + 25190 122.751 * * [simplify]: Extracting #7: cost 26 inf + 76271 122.775 * * [simplify]: Extracting #8: cost 0 inf + 85028 122.810 * [simplify]: Simplified to (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) 122.810 * [simplify]: Simplified (2 2 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (/ (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1)) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) -2) (cos (/ K 2))) J)))) 122.811 * * * * [progress]: [ 84 / 100 ] simplifiying candidate # 122.811 * [simplify]: Simplifying (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1) 122.812 * * [simplify]: iters left: 6 (12 enodes) 122.818 * * [simplify]: iters left: 5 (49 enodes) 122.836 * * [simplify]: iters left: 4 (102 enodes) 122.887 * * [simplify]: iters left: 3 (356 enodes) 123.144 * * [simplify]: Extracting #0: cost 1 inf + 0 123.144 * * [simplify]: Extracting #1: cost 4 inf + 0 123.145 * * [simplify]: Extracting #2: cost 116 inf + 1 123.147 * * [simplify]: Extracting #3: cost 234 inf + 254 123.150 * * [simplify]: Extracting #4: cost 192 inf + 4198 123.164 * * [simplify]: Extracting #5: cost 121 inf + 19235 123.190 * * [simplify]: Extracting #6: cost 5 inf + 46310 123.218 * * [simplify]: Extracting #7: cost 0 inf + 47117 123.247 * * [simplify]: Extracting #8: cost 0 inf + 46998 123.261 * [simplify]: Simplified to (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) 123.261 * [simplify]: Simplified (2 2 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (pow (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (/ 1 2)) -2) (cos (/ K 2))) J)))) 123.262 * * * * [progress]: [ 85 / 100 ] simplifiying candidate # 123.262 * * * * [progress]: [ 86 / 100 ] simplifiying candidate # 123.262 * [simplify]: Simplifying (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) 123.262 * * [simplify]: iters left: 6 (13 enodes) 123.266 * * [simplify]: iters left: 5 (52 enodes) 123.278 * * [simplify]: iters left: 4 (105 enodes) 123.316 * * [simplify]: iters left: 3 (359 enodes) 123.563 * * [simplify]: Extracting #0: cost 1 inf + 0 123.563 * * [simplify]: Extracting #1: cost 3 inf + 0 123.563 * * [simplify]: Extracting #2: cost 6 inf + 0 123.563 * * [simplify]: Extracting #3: cost 118 inf + 1 123.564 * * [simplify]: Extracting #4: cost 235 inf + 336 123.566 * * [simplify]: Extracting #5: cost 193 inf + 4402 123.570 * * [simplify]: Extracting #6: cost 119 inf + 19348 123.583 * * [simplify]: Extracting #7: cost 7 inf + 46040 123.611 * * [simplify]: Extracting #8: cost 0 inf + 47488 123.627 * [simplify]: Simplified to (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) 123.627 * [simplify]: Simplified (2 2 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (fabs (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -2) (cos (/ K 2))) J)))) 123.628 * * * * [progress]: [ 87 / 100 ] simplifiying candidate # 123.628 * * * * [progress]: [ 88 / 100 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J))))> 123.628 * * * * [progress]: [ 89 / 100 ] simplifiying candidate # 123.628 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 123.628 * * [simplify]: iters left: 6 (10 enodes) 123.632 * * [simplify]: iters left: 5 (43 enodes) 123.640 * * [simplify]: iters left: 4 (79 enodes) 123.658 * * [simplify]: iters left: 3 (118 enodes) 123.676 * * [simplify]: iters left: 2 (171 enodes) 123.721 * * [simplify]: iters left: 1 (242 enodes) 123.777 * * [simplify]: Extracting #0: cost 1 inf + 0 123.777 * * [simplify]: Extracting #1: cost 6 inf + 0 123.777 * * [simplify]: Extracting #2: cost 41 inf + 0 123.777 * * [simplify]: Extracting #3: cost 56 inf + 213 123.778 * * [simplify]: Extracting #4: cost 20 inf + 2732 123.780 * * [simplify]: Extracting #5: cost 1 inf + 4576 123.783 * * [simplify]: Extracting #6: cost 0 inf + 4698 123.784 * [simplify]: Simplified to (- (* -2 J) (/ (* U U) (/ J 1/4))) 123.784 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (- (* -2 J) (/ (* U U) (/ J 1/4)))))) 123.784 * * * * [progress]: [ 90 / 100 ] simplifiying candidate # 123.784 * [simplify]: Simplifying (* -1 U) 123.785 * * [simplify]: iters left: 2 (3 enodes) 123.786 * * [simplify]: iters left: 1 (11 enodes) 123.789 * * [simplify]: Extracting #0: cost 1 inf + 0 123.789 * * [simplify]: Extracting #1: cost 4 inf + 0 123.789 * * [simplify]: Extracting #2: cost 0 inf + 84 123.789 * [simplify]: Simplified to (- U) 123.789 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (- U)))) 123.789 * * * * [progress]: [ 91 / 100 ] simplifiying candidate # 123.790 * [simplify]: Simplifying (* -1 U) 123.790 * * [simplify]: iters left: 2 (3 enodes) 123.792 * * [simplify]: iters left: 1 (11 enodes) 123.795 * * [simplify]: Extracting #0: cost 1 inf + 0 123.795 * * [simplify]: Extracting #1: cost 4 inf + 0 123.795 * * [simplify]: Extracting #2: cost 0 inf + 84 123.795 * [simplify]: Simplified to (- U) 123.795 * [simplify]: Simplified (2 2 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (- U)))) 123.795 * * * * [progress]: [ 92 / 100 ] simplifiying candidate # 123.796 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 123.796 * * [simplify]: iters left: 6 (10 enodes) 123.802 * * [simplify]: iters left: 5 (43 enodes) 123.819 * * [simplify]: iters left: 4 (79 enodes) 123.844 * * [simplify]: iters left: 3 (118 enodes) 123.879 * * [simplify]: iters left: 2 (171 enodes) 123.917 * * [simplify]: iters left: 1 (242 enodes) 123.993 * * [simplify]: Extracting #0: cost 1 inf + 0 123.993 * * [simplify]: Extracting #1: cost 6 inf + 0 123.993 * * [simplify]: Extracting #2: cost 41 inf + 0 123.994 * * [simplify]: Extracting #3: cost 56 inf + 213 123.994 * * [simplify]: Extracting #4: cost 20 inf + 2732 123.996 * * [simplify]: Extracting #5: cost 1 inf + 4576 123.997 * * [simplify]: Extracting #6: cost 0 inf + 4698 123.999 * [simplify]: Simplified to (- (* -2 J) (/ (* U U) (/ J 1/4))) 123.999 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (- (* -2 J) (/ (* U U) (/ J 1/4))))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)))) 123.999 * * * * [progress]: [ 93 / 100 ] simplifiying candidate # 123.999 * [simplify]: Simplifying (* -1 U) 123.999 * * [simplify]: iters left: 2 (3 enodes) 124.000 * * [simplify]: iters left: 1 (11 enodes) 124.002 * * [simplify]: Extracting #0: cost 1 inf + 0 124.002 * * [simplify]: Extracting #1: cost 4 inf + 0 124.002 * * [simplify]: Extracting #2: cost 0 inf + 84 124.002 * [simplify]: Simplified to (- U) 124.002 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (- U))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)))) 124.002 * * * * [progress]: [ 94 / 100 ] simplifiying candidate # 124.002 * [simplify]: Simplifying (* -1 U) 124.002 * * [simplify]: iters left: 2 (3 enodes) 124.003 * * [simplify]: iters left: 1 (11 enodes) 124.005 * * [simplify]: Extracting #0: cost 1 inf + 0 124.005 * * [simplify]: Extracting #1: cost 4 inf + 0 124.005 * * [simplify]: Extracting #2: cost 0 inf + 84 124.005 * [simplify]: Simplified to (- U) 124.005 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (- U))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)))) 124.005 * * * * [progress]: [ 95 / 100 ] simplifiying candidate # 124.005 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 124.006 * * [simplify]: iters left: 6 (10 enodes) 124.009 * * [simplify]: iters left: 5 (43 enodes) 124.018 * * [simplify]: iters left: 4 (79 enodes) 124.030 * * [simplify]: iters left: 3 (118 enodes) 124.057 * * [simplify]: iters left: 2 (171 enodes) 124.115 * * [simplify]: iters left: 1 (242 enodes) 124.180 * * [simplify]: Extracting #0: cost 1 inf + 0 124.180 * * [simplify]: Extracting #1: cost 6 inf + 0 124.180 * * [simplify]: Extracting #2: cost 41 inf + 0 124.181 * * [simplify]: Extracting #3: cost 56 inf + 213 124.182 * * [simplify]: Extracting #4: cost 20 inf + 2732 124.185 * * [simplify]: Extracting #5: cost 1 inf + 4576 124.188 * * [simplify]: Extracting #6: cost 0 inf + 4698 124.191 * [simplify]: Simplified to (- (* -2 J) (/ (* U U) (/ J 1/4))) 124.191 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (cbrt (- (* -2 J) (/ (* U U) (/ J 1/4)))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)))) 124.192 * * * * [progress]: [ 96 / 100 ] simplifiying candidate # 124.192 * [simplify]: Simplifying (* -1 U) 124.192 * * [simplify]: iters left: 2 (3 enodes) 124.194 * * [simplify]: iters left: 1 (11 enodes) 124.198 * * [simplify]: Extracting #0: cost 1 inf + 0 124.198 * * [simplify]: Extracting #1: cost 4 inf + 0 124.198 * * [simplify]: Extracting #2: cost 0 inf + 84 124.198 * [simplify]: Simplified to (- U) 124.198 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (cbrt (- U)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)))) 124.198 * * * * [progress]: [ 97 / 100 ] simplifiying candidate # 124.198 * [simplify]: Simplifying (* -1 U) 124.199 * * [simplify]: iters left: 2 (3 enodes) 124.200 * * [simplify]: iters left: 1 (11 enodes) 124.203 * * [simplify]: Extracting #0: cost 1 inf + 0 124.204 * * [simplify]: Extracting #1: cost 4 inf + 0 124.204 * * [simplify]: Extracting #2: cost 0 inf + 84 124.204 * [simplify]: Simplified to (- U) 124.204 * [simplify]: Simplified (2 1 1 1) to (λ (J K U) (* (* (cbrt (- U)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)))) 124.204 * * * * [progress]: [ 98 / 100 ] simplifiying candidate # 124.204 * [simplify]: Simplifying 1 124.204 * * [simplify]: iters left: 0 (1 enodes) 124.205 * * [simplify]: Extracting #0: cost 1 inf + 0 124.205 * * [simplify]: Extracting #1: cost 0 inf + 1 124.205 * [simplify]: Simplified to 1 124.205 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* 1 -2) (cos (/ K 2))) J)))) 124.206 * * * * [progress]: [ 99 / 100 ] simplifiying candidate # 124.206 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 124.206 * * [simplify]: iters left: 6 (9 enodes) 124.211 * * [simplify]: iters left: 5 (34 enodes) 124.222 * * [simplify]: iters left: 4 (56 enodes) 124.242 * * [simplify]: iters left: 3 (90 enodes) 124.256 * * [simplify]: iters left: 2 (114 enodes) 124.272 * * [simplify]: iters left: 1 (131 enodes) 124.307 * * [simplify]: Extracting #0: cost 1 inf + 0 124.307 * * [simplify]: Extracting #1: cost 22 inf + 0 124.307 * * [simplify]: Extracting #2: cost 37 inf + 3 124.307 * * [simplify]: Extracting #3: cost 31 inf + 380 124.308 * * [simplify]: Extracting #4: cost 17 inf + 1834 124.310 * * [simplify]: Extracting #5: cost 3 inf + 4117 124.313 * * [simplify]: Extracting #6: cost 0 inf + 4586 124.315 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 124.315 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (cos (/ K 2))) J)))) 124.315 * * * * [progress]: [ 100 / 100 ] simplifiying candidate # 124.316 * [simplify]: Simplifying (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 124.316 * * [simplify]: iters left: 6 (9 enodes) 124.319 * * [simplify]: iters left: 5 (34 enodes) 124.325 * * [simplify]: iters left: 4 (56 enodes) 124.336 * * [simplify]: iters left: 3 (90 enodes) 124.350 * * [simplify]: iters left: 2 (114 enodes) 124.376 * * [simplify]: iters left: 1 (131 enodes) 124.398 * * [simplify]: Extracting #0: cost 1 inf + 0 124.398 * * [simplify]: Extracting #1: cost 22 inf + 0 124.399 * * [simplify]: Extracting #2: cost 37 inf + 3 124.399 * * [simplify]: Extracting #3: cost 31 inf + 380 124.399 * * [simplify]: Extracting #4: cost 17 inf + 1834 124.400 * * [simplify]: Extracting #5: cost 3 inf + 4117 124.401 * * [simplify]: Extracting #6: cost 0 inf + 4586 124.402 * [simplify]: Simplified to (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) 124.402 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (/ (/ U (/ J 1/2)) (cos (* 1/2 K))) -2) (cos (/ K 2))) J)))) 124.403 * * * [progress]: adding candidates to table 126.193 * * [progress]: iteration 4 / 4 126.193 * * * [progress]: picking best candidate 126.284 * * * * [pick]: Picked # 126.284 * * * [progress]: localizing error 126.436 * * * [progress]: generating rewritten candidates 126.436 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1 1 2) 126.532 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1 1 2) 126.619 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 1 1 1) 126.691 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 128.017 * * * [progress]: generating series expansions 128.017 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1 1 2) 128.018 * [backup-simplify]: Simplify (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) into (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/6) 128.018 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/6) in (U K J) around 0 128.018 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/6) in J 128.018 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 128.018 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 128.018 * [taylor]: Taking taylor expansion of 1/6 in J 128.018 * [backup-simplify]: Simplify 1/6 into 1/6 128.018 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 128.018 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 128.018 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 128.018 * [taylor]: Taking taylor expansion of 1/4 in J 128.018 * [backup-simplify]: Simplify 1/4 into 1/4 128.018 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 128.018 * [taylor]: Taking taylor expansion of (pow U 2) in J 128.018 * [taylor]: Taking taylor expansion of U in J 128.018 * [backup-simplify]: Simplify U into U 128.018 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 128.018 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 128.018 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 128.018 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 128.018 * [taylor]: Taking taylor expansion of 1/2 in J 128.018 * [backup-simplify]: Simplify 1/2 into 1/2 128.018 * [taylor]: Taking taylor expansion of K in J 128.018 * [backup-simplify]: Simplify K into K 128.018 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 128.018 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 128.018 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 128.018 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 128.018 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 128.019 * [backup-simplify]: Simplify (- 0) into 0 128.020 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 128.020 * [taylor]: Taking taylor expansion of (pow J 2) in J 128.020 * [taylor]: Taking taylor expansion of J in J 128.020 * [backup-simplify]: Simplify 0 into 0 128.020 * [backup-simplify]: Simplify 1 into 1 128.020 * [backup-simplify]: Simplify (* U U) into (pow U 2) 128.020 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 128.020 * [backup-simplify]: Simplify (* 1 1) into 1 128.020 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 128.020 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 128.020 * [taylor]: Taking taylor expansion of 1 in J 128.020 * [backup-simplify]: Simplify 1 into 1 128.020 * [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))) 128.021 * [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))) 128.021 * [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)))) 128.021 * [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))) 128.021 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) into (* 1/6 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) 128.022 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) 128.022 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/6) in K 128.022 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 128.022 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 128.022 * [taylor]: Taking taylor expansion of 1/6 in K 128.022 * [backup-simplify]: Simplify 1/6 into 1/6 128.022 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 128.022 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 128.022 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 128.022 * [taylor]: Taking taylor expansion of 1/4 in K 128.022 * [backup-simplify]: Simplify 1/4 into 1/4 128.022 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 128.022 * [taylor]: Taking taylor expansion of (pow U 2) in K 128.022 * [taylor]: Taking taylor expansion of U in K 128.022 * [backup-simplify]: Simplify U into U 128.022 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 128.022 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 128.022 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 128.022 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 128.022 * [taylor]: Taking taylor expansion of 1/2 in K 128.022 * [backup-simplify]: Simplify 1/2 into 1/2 128.022 * [taylor]: Taking taylor expansion of K in K 128.022 * [backup-simplify]: Simplify 0 into 0 128.022 * [backup-simplify]: Simplify 1 into 1 128.022 * [backup-simplify]: Simplify (* 1/2 0) into 0 128.023 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 128.023 * [taylor]: Taking taylor expansion of (pow J 2) in K 128.023 * [taylor]: Taking taylor expansion of J in K 128.023 * [backup-simplify]: Simplify J into J 128.023 * [backup-simplify]: Simplify (* U U) into (pow U 2) 128.023 * [backup-simplify]: Simplify (* 1 1) into 1 128.023 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.023 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 128.023 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 128.023 * [taylor]: Taking taylor expansion of 1 in K 128.023 * [backup-simplify]: Simplify 1 into 1 128.023 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 128.024 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 128.024 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 128.024 * [backup-simplify]: Simplify (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 128.024 * [backup-simplify]: Simplify (exp (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/6) 128.024 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/6) in U 128.024 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 128.024 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 128.024 * [taylor]: Taking taylor expansion of 1/6 in U 128.024 * [backup-simplify]: Simplify 1/6 into 1/6 128.024 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 128.024 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 128.024 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 128.024 * [taylor]: Taking taylor expansion of 1/4 in U 128.024 * [backup-simplify]: Simplify 1/4 into 1/4 128.024 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 128.024 * [taylor]: Taking taylor expansion of (pow U 2) in U 128.024 * [taylor]: Taking taylor expansion of U in U 128.024 * [backup-simplify]: Simplify 0 into 0 128.024 * [backup-simplify]: Simplify 1 into 1 128.024 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 128.024 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 128.024 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 128.024 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 128.024 * [taylor]: Taking taylor expansion of 1/2 in U 128.024 * [backup-simplify]: Simplify 1/2 into 1/2 128.024 * [taylor]: Taking taylor expansion of K in U 128.024 * [backup-simplify]: Simplify K into K 128.024 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 128.024 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 128.025 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 128.025 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 128.025 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 128.025 * [backup-simplify]: Simplify (- 0) into 0 128.025 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 128.025 * [taylor]: Taking taylor expansion of (pow J 2) in U 128.025 * [taylor]: Taking taylor expansion of J in U 128.025 * [backup-simplify]: Simplify J into J 128.025 * [backup-simplify]: Simplify (* 1 1) into 1 128.025 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 128.025 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.025 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 128.026 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 128.026 * [taylor]: Taking taylor expansion of 1 in U 128.026 * [backup-simplify]: Simplify 1 into 1 128.026 * [backup-simplify]: Simplify (+ 0 1) into 1 128.026 * [backup-simplify]: Simplify (log 1) into 0 128.026 * [backup-simplify]: Simplify (* 1/6 0) into 0 128.027 * [backup-simplify]: Simplify (+ 0 0) into 0 128.028 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 128.028 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 0)) into 0 128.029 * [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))) 128.029 * [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)))) 128.030 * [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))) 128.031 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 128.031 * [backup-simplify]: Simplify (exp 0) into 1 128.031 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/6) in U 128.031 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 128.031 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 128.031 * [taylor]: Taking taylor expansion of 1/6 in U 128.031 * [backup-simplify]: Simplify 1/6 into 1/6 128.031 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 128.031 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 128.031 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 128.031 * [taylor]: Taking taylor expansion of 1/4 in U 128.031 * [backup-simplify]: Simplify 1/4 into 1/4 128.031 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 128.031 * [taylor]: Taking taylor expansion of (pow U 2) in U 128.031 * [taylor]: Taking taylor expansion of U in U 128.031 * [backup-simplify]: Simplify 0 into 0 128.031 * [backup-simplify]: Simplify 1 into 1 128.031 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 128.031 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 128.031 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 128.031 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 128.031 * [taylor]: Taking taylor expansion of 1/2 in U 128.031 * [backup-simplify]: Simplify 1/2 into 1/2 128.031 * [taylor]: Taking taylor expansion of K in U 128.031 * [backup-simplify]: Simplify K into K 128.031 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 128.031 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 128.031 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 128.031 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 128.031 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 128.032 * [backup-simplify]: Simplify (- 0) into 0 128.032 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 128.032 * [taylor]: Taking taylor expansion of (pow J 2) in U 128.032 * [taylor]: Taking taylor expansion of J in U 128.032 * [backup-simplify]: Simplify J into J 128.032 * [backup-simplify]: Simplify (* 1 1) into 1 128.032 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 128.032 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.032 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 128.032 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 128.032 * [taylor]: Taking taylor expansion of 1 in U 128.032 * [backup-simplify]: Simplify 1 into 1 128.033 * [backup-simplify]: Simplify (+ 0 1) into 1 128.033 * [backup-simplify]: Simplify (log 1) into 0 128.033 * [backup-simplify]: Simplify (* 1/6 0) into 0 128.033 * [backup-simplify]: Simplify (+ 0 0) into 0 128.034 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 128.034 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 0)) into 0 128.035 * [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))) 128.035 * [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)))) 128.036 * [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))) 128.036 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 128.036 * [backup-simplify]: Simplify (exp 0) into 1 128.037 * [taylor]: Taking taylor expansion of 1 in K 128.037 * [backup-simplify]: Simplify 1 into 1 128.037 * [taylor]: Taking taylor expansion of 1 in J 128.037 * [backup-simplify]: Simplify 1 into 1 128.037 * [backup-simplify]: Simplify 1 into 1 128.037 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 128.037 * [taylor]: Taking taylor expansion of 0 in K 128.037 * [backup-simplify]: Simplify 0 into 0 128.037 * [taylor]: Taking taylor expansion of 0 in J 128.037 * [backup-simplify]: Simplify 0 into 0 128.037 * [backup-simplify]: Simplify 0 into 0 128.037 * [taylor]: Taking taylor expansion of 0 in J 128.037 * [backup-simplify]: Simplify 0 into 0 128.037 * [backup-simplify]: Simplify 0 into 0 128.037 * [backup-simplify]: Simplify 0 into 0 128.038 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/24 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1)))) into (/ 1/24 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 128.038 * [taylor]: Taking taylor expansion of (/ 1/24 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 128.038 * [taylor]: Taking taylor expansion of 1/24 in K 128.038 * [backup-simplify]: Simplify 1/24 into 1/24 128.038 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 128.038 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 128.038 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 128.038 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 128.038 * [taylor]: Taking taylor expansion of 1/2 in K 128.038 * [backup-simplify]: Simplify 1/2 into 1/2 128.038 * [taylor]: Taking taylor expansion of K in K 128.038 * [backup-simplify]: Simplify 0 into 0 128.038 * [backup-simplify]: Simplify 1 into 1 128.039 * [backup-simplify]: Simplify (* 1/2 0) into 0 128.039 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 128.039 * [taylor]: Taking taylor expansion of (pow J 2) in K 128.039 * [taylor]: Taking taylor expansion of J in K 128.039 * [backup-simplify]: Simplify J into J 128.039 * [backup-simplify]: Simplify (* 1 1) into 1 128.039 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.039 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 128.039 * [backup-simplify]: Simplify (/ 1/24 (pow J 2)) into (/ 1/24 (pow J 2)) 128.039 * [taylor]: Taking taylor expansion of (/ 1/24 (pow J 2)) in J 128.039 * [taylor]: Taking taylor expansion of 1/24 in J 128.039 * [backup-simplify]: Simplify 1/24 into 1/24 128.039 * [taylor]: Taking taylor expansion of (pow J 2) in J 128.039 * [taylor]: Taking taylor expansion of J in J 128.040 * [backup-simplify]: Simplify 0 into 0 128.040 * [backup-simplify]: Simplify 1 into 1 128.040 * [backup-simplify]: Simplify (* 1 1) into 1 128.040 * [backup-simplify]: Simplify (/ 1/24 1) into 1/24 128.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 128.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 128.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/24 (/ 0 1)))) into 0 128.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 0 128.042 * [backup-simplify]: Simplify 0 into 0 128.042 * [taylor]: Taking taylor expansion of 0 in J 128.042 * [backup-simplify]: Simplify 0 into 0 128.042 * [backup-simplify]: Simplify 0 into 0 128.042 * [taylor]: Taking taylor expansion of 0 in J 128.042 * [backup-simplify]: Simplify 0 into 0 128.042 * [backup-simplify]: Simplify 0 into 0 128.042 * [backup-simplify]: Simplify 1 into 1 128.043 * [backup-simplify]: Simplify (cbrt (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) 128.043 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) in (U K J) around 0 128.043 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) in J 128.043 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in J 128.043 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in J 128.043 * [taylor]: Taking taylor expansion of 1/6 in J 128.043 * [backup-simplify]: Simplify 1/6 into 1/6 128.043 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 128.043 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 128.043 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 128.043 * [taylor]: Taking taylor expansion of 1/4 in J 128.043 * [backup-simplify]: Simplify 1/4 into 1/4 128.043 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 128.043 * [taylor]: Taking taylor expansion of (pow J 2) in J 128.044 * [taylor]: Taking taylor expansion of J in J 128.044 * [backup-simplify]: Simplify 0 into 0 128.044 * [backup-simplify]: Simplify 1 into 1 128.044 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 128.044 * [taylor]: Taking taylor expansion of (pow U 2) in J 128.044 * [taylor]: Taking taylor expansion of U in J 128.044 * [backup-simplify]: Simplify U into U 128.044 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 128.044 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 128.044 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 128.044 * [taylor]: Taking taylor expansion of 1/2 in J 128.044 * [backup-simplify]: Simplify 1/2 into 1/2 128.044 * [taylor]: Taking taylor expansion of K in J 128.044 * [backup-simplify]: Simplify K into K 128.044 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 128.044 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 128.044 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 128.044 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 128.044 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 128.045 * [backup-simplify]: Simplify (- 0) into 0 128.045 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 128.045 * [backup-simplify]: Simplify (* 1 1) into 1 128.046 * [backup-simplify]: Simplify (* U U) into (pow U 2) 128.046 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 128.046 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 128.046 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 128.046 * [taylor]: Taking taylor expansion of 1 in J 128.046 * [backup-simplify]: Simplify 1 into 1 128.047 * [backup-simplify]: Simplify (+ 0 1) into 1 128.047 * [backup-simplify]: Simplify (log 1) into 0 128.047 * [backup-simplify]: Simplify (* 1/6 0) into 0 128.048 * [backup-simplify]: Simplify (+ 0 0) into 0 128.049 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 128.050 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 0)) into 0 128.050 * [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))) 128.050 * [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)))) 128.053 * [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))) 128.053 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 128.053 * [backup-simplify]: Simplify (exp 0) into 1 128.053 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) in K 128.053 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in K 128.053 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in K 128.053 * [taylor]: Taking taylor expansion of 1/6 in K 128.054 * [backup-simplify]: Simplify 1/6 into 1/6 128.054 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 128.054 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 128.054 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 128.054 * [taylor]: Taking taylor expansion of 1/4 in K 128.054 * [backup-simplify]: Simplify 1/4 into 1/4 128.054 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 128.054 * [taylor]: Taking taylor expansion of (pow J 2) in K 128.054 * [taylor]: Taking taylor expansion of J in K 128.054 * [backup-simplify]: Simplify J into J 128.054 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 128.054 * [taylor]: Taking taylor expansion of (pow U 2) in K 128.054 * [taylor]: Taking taylor expansion of U in K 128.054 * [backup-simplify]: Simplify U into U 128.054 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 128.054 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 128.054 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 128.054 * [taylor]: Taking taylor expansion of 1/2 in K 128.054 * [backup-simplify]: Simplify 1/2 into 1/2 128.054 * [taylor]: Taking taylor expansion of K in K 128.054 * [backup-simplify]: Simplify 0 into 0 128.054 * [backup-simplify]: Simplify 1 into 1 128.055 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 128.055 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 128.055 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.055 * [backup-simplify]: Simplify (* U U) into (pow U 2) 128.055 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 128.055 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 128.055 * [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))) 128.055 * [taylor]: Taking taylor expansion of 1 in K 128.055 * [backup-simplify]: Simplify 1 into 1 128.056 * [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)))) 128.056 * [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) 128.056 * [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)) 128.057 * [backup-simplify]: Simplify (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) 128.058 * [backup-simplify]: Simplify (exp (* 1/6 (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) 1/6) 128.058 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) in U 128.058 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 128.058 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 128.058 * [taylor]: Taking taylor expansion of 1/6 in U 128.058 * [backup-simplify]: Simplify 1/6 into 1/6 128.058 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 128.058 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 128.058 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 128.058 * [taylor]: Taking taylor expansion of 1/4 in U 128.058 * [backup-simplify]: Simplify 1/4 into 1/4 128.058 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 128.058 * [taylor]: Taking taylor expansion of (pow J 2) in U 128.058 * [taylor]: Taking taylor expansion of J in U 128.058 * [backup-simplify]: Simplify J into J 128.058 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 128.058 * [taylor]: Taking taylor expansion of (pow U 2) in U 128.058 * [taylor]: Taking taylor expansion of U in U 128.058 * [backup-simplify]: Simplify 0 into 0 128.058 * [backup-simplify]: Simplify 1 into 1 128.058 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 128.058 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 128.058 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 128.058 * [taylor]: Taking taylor expansion of 1/2 in U 128.058 * [backup-simplify]: Simplify 1/2 into 1/2 128.058 * [taylor]: Taking taylor expansion of K in U 128.058 * [backup-simplify]: Simplify K into K 128.058 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 128.059 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 128.059 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 128.059 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 128.059 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 128.059 * [backup-simplify]: Simplify (- 0) into 0 128.059 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 128.059 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.060 * [backup-simplify]: Simplify (* 1 1) into 1 128.060 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 128.060 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 128.060 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 128.060 * [taylor]: Taking taylor expansion of 1 in U 128.060 * [backup-simplify]: Simplify 1 into 1 128.061 * [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))) 128.061 * [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))) 128.061 * [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)))) 128.062 * [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))) 128.062 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 128.062 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 128.062 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) in U 128.062 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 128.062 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 128.062 * [taylor]: Taking taylor expansion of 1/6 in U 128.062 * [backup-simplify]: Simplify 1/6 into 1/6 128.062 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 128.063 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 128.063 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 128.063 * [taylor]: Taking taylor expansion of 1/4 in U 128.063 * [backup-simplify]: Simplify 1/4 into 1/4 128.063 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 128.063 * [taylor]: Taking taylor expansion of (pow J 2) in U 128.063 * [taylor]: Taking taylor expansion of J in U 128.063 * [backup-simplify]: Simplify J into J 128.063 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 128.063 * [taylor]: Taking taylor expansion of (pow U 2) in U 128.063 * [taylor]: Taking taylor expansion of U in U 128.063 * [backup-simplify]: Simplify 0 into 0 128.063 * [backup-simplify]: Simplify 1 into 1 128.063 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 128.063 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 128.063 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 128.063 * [taylor]: Taking taylor expansion of 1/2 in U 128.063 * [backup-simplify]: Simplify 1/2 into 1/2 128.063 * [taylor]: Taking taylor expansion of K in U 128.063 * [backup-simplify]: Simplify K into K 128.063 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 128.063 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 128.063 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 128.063 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 128.063 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 128.064 * [backup-simplify]: Simplify (- 0) into 0 128.064 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 128.064 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.064 * [backup-simplify]: Simplify (* 1 1) into 1 128.065 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 128.065 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 128.065 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 128.065 * [taylor]: Taking taylor expansion of 1 in U 128.065 * [backup-simplify]: Simplify 1 into 1 128.065 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 128.065 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 128.066 * [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)))) 128.066 * [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))) 128.067 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 128.067 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 128.067 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 128.067 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 128.067 * [taylor]: Taking taylor expansion of 1/6 in K 128.067 * [backup-simplify]: Simplify 1/6 into 1/6 128.067 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 128.067 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in K 128.067 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 128.067 * [taylor]: Taking taylor expansion of 1/4 in K 128.067 * [backup-simplify]: Simplify 1/4 into 1/4 128.067 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 128.067 * [taylor]: Taking taylor expansion of (pow J 2) in K 128.067 * [taylor]: Taking taylor expansion of J in K 128.067 * [backup-simplify]: Simplify J into J 128.067 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 128.067 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 128.067 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 128.067 * [taylor]: Taking taylor expansion of 1/2 in K 128.068 * [backup-simplify]: Simplify 1/2 into 1/2 128.068 * [taylor]: Taking taylor expansion of K in K 128.068 * [backup-simplify]: Simplify 0 into 0 128.068 * [backup-simplify]: Simplify 1 into 1 128.068 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 128.068 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 128.068 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.068 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 128.068 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 128.069 * [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))) 128.069 * [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)))) 128.069 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 128.069 * [taylor]: Taking taylor expansion of 2 in K 128.069 * [backup-simplify]: Simplify 2 into 2 128.069 * [taylor]: Taking taylor expansion of (log U) in K 128.069 * [taylor]: Taking taylor expansion of U in K 128.069 * [backup-simplify]: Simplify U into U 128.069 * [backup-simplify]: Simplify (log U) into (log U) 128.069 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 128.069 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 128.070 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 128.070 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 128.070 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 128.070 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 128.070 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 128.070 * [taylor]: Taking taylor expansion of 1/6 in J 128.070 * [backup-simplify]: Simplify 1/6 into 1/6 128.070 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 128.070 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 128.070 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 128.071 * [taylor]: Taking taylor expansion of 1/4 in J 128.071 * [backup-simplify]: Simplify 1/4 into 1/4 128.071 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 128.071 * [taylor]: Taking taylor expansion of (pow J 2) in J 128.071 * [taylor]: Taking taylor expansion of J in J 128.071 * [backup-simplify]: Simplify 0 into 0 128.071 * [backup-simplify]: Simplify 1 into 1 128.071 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 128.071 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 128.071 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 128.071 * [taylor]: Taking taylor expansion of 1/2 in J 128.071 * [backup-simplify]: Simplify 1/2 into 1/2 128.071 * [taylor]: Taking taylor expansion of K in J 128.071 * [backup-simplify]: Simplify K into K 128.071 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 128.071 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 128.071 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 128.071 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 128.071 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 128.072 * [backup-simplify]: Simplify (- 0) into 0 128.072 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 128.072 * [backup-simplify]: Simplify (* 1 1) into 1 128.072 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 128.072 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 128.073 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 128.073 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 128.073 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 128.073 * [taylor]: Taking taylor expansion of 2 in J 128.073 * [backup-simplify]: Simplify 2 into 2 128.073 * [taylor]: Taking taylor expansion of (log U) in J 128.073 * [taylor]: Taking taylor expansion of U in J 128.073 * [backup-simplify]: Simplify U into U 128.073 * [backup-simplify]: Simplify (log U) into (log U) 128.074 * [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)))) 128.074 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 128.074 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 128.074 * [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))) 128.074 * [backup-simplify]: Simplify (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 128.075 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 128.075 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 128.075 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 128.076 * [backup-simplify]: Simplify (+ 0) into 0 128.076 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 128.076 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 128.077 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 128.078 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 128.078 * [backup-simplify]: Simplify (- 0) into 0 128.078 * [backup-simplify]: Simplify (+ 0 0) into 0 128.079 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 128.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 128.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 128.080 * [backup-simplify]: 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 0 128.081 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 128.081 * [backup-simplify]: Simplify (+ 0 0) into 0 128.082 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 128.083 * [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))) 128.083 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 128.085 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 128.085 * [taylor]: Taking taylor expansion of 0 in K 128.085 * [backup-simplify]: Simplify 0 into 0 128.085 * [taylor]: Taking taylor expansion of 0 in J 128.085 * [backup-simplify]: Simplify 0 into 0 128.085 * [backup-simplify]: Simplify 0 into 0 128.085 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 128.085 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 128.085 * [backup-simplify]: 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 0 128.086 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 128.087 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 128.088 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 128.088 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 128.089 * [backup-simplify]: Simplify (- 0) into 0 128.089 * [backup-simplify]: Simplify (+ 0 0) into 0 128.090 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 128.091 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 128.091 * [taylor]: Taking taylor expansion of 0 in J 128.091 * [backup-simplify]: Simplify 0 into 0 128.091 * [backup-simplify]: Simplify 0 into 0 128.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 128.093 * [backup-simplify]: Simplify (+ 0) into 0 128.093 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 128.093 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 128.094 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 128.094 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 128.095 * [backup-simplify]: Simplify (- 0) into 0 128.095 * [backup-simplify]: Simplify (+ 0 0) into 0 128.095 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 128.096 * [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 0 128.096 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 128.097 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 128.098 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 128.098 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 128.099 * [backup-simplify]: Simplify (- 0) into 0 128.099 * [backup-simplify]: Simplify (+ 0 0) into 0 128.100 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 128.101 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 128.101 * [backup-simplify]: Simplify 0 into 0 128.102 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 128.103 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 128.103 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 128.104 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 128.104 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 128.105 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 128.105 * [backup-simplify]: Simplify (- 0) into 0 128.106 * [backup-simplify]: Simplify (+ 0 0) into 0 128.106 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 128.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 128.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 128.108 * [backup-simplify]: 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 0 128.109 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 128.110 * [backup-simplify]: Simplify (+ 0 1) into 1 128.112 * [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))) 128.112 * [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))) 128.113 * [backup-simplify]: Simplify (+ (* 1/6 (* 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 (* 2/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 128.115 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 2/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 2/3 (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) 128.115 * [taylor]: Taking taylor expansion of (* 2/3 (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) in K 128.115 * [taylor]: Taking taylor expansion of 2/3 in K 128.115 * [backup-simplify]: Simplify 2/3 into 2/3 128.115 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in K 128.115 * [taylor]: Taking taylor expansion of (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in K 128.115 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 128.115 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 128.115 * [taylor]: Taking taylor expansion of 1/6 in K 128.115 * [backup-simplify]: Simplify 1/6 into 1/6 128.115 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 128.115 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in K 128.115 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 128.115 * [taylor]: Taking taylor expansion of 1/4 in K 128.115 * [backup-simplify]: Simplify 1/4 into 1/4 128.115 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 128.115 * [taylor]: Taking taylor expansion of (pow J 2) in K 128.115 * [taylor]: Taking taylor expansion of J in K 128.115 * [backup-simplify]: Simplify J into J 128.115 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 128.115 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 128.115 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 128.115 * [taylor]: Taking taylor expansion of 1/2 in K 128.115 * [backup-simplify]: Simplify 1/2 into 1/2 128.115 * [taylor]: Taking taylor expansion of K in K 128.115 * [backup-simplify]: Simplify 0 into 0 128.115 * [backup-simplify]: Simplify 1 into 1 128.116 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 128.116 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 128.116 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.116 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 128.116 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 128.117 * [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))) 128.117 * [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)))) 128.117 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 128.117 * [taylor]: Taking taylor expansion of 2 in K 128.117 * [backup-simplify]: Simplify 2 into 2 128.117 * [taylor]: Taking taylor expansion of (log U) in K 128.117 * [taylor]: Taking taylor expansion of U in K 128.117 * [backup-simplify]: Simplify U into U 128.117 * [backup-simplify]: Simplify (log U) into (log U) 128.117 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 128.117 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 128.118 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 128.118 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 128.118 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 128.118 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 128.119 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 128.119 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 128.119 * [taylor]: Taking taylor expansion of 1/2 in K 128.119 * [backup-simplify]: Simplify 1/2 into 1/2 128.119 * [taylor]: Taking taylor expansion of K in K 128.119 * [backup-simplify]: Simplify 0 into 0 128.119 * [backup-simplify]: Simplify 1 into 1 128.119 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 128.119 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 128.119 * [taylor]: Taking taylor expansion of (pow J 2) in K 128.119 * [taylor]: Taking taylor expansion of J in K 128.119 * [backup-simplify]: Simplify J into J 128.119 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 128.120 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 128.120 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.120 * [backup-simplify]: Simplify (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) into (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) 128.121 * [backup-simplify]: Simplify (* 2/3 (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) into (* 2/3 (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) 128.121 * [taylor]: Taking taylor expansion of (* 2/3 (/ (* (exp (* 1/6 (- (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 128.121 * [taylor]: Taking taylor expansion of 2/3 in J 128.121 * [backup-simplify]: Simplify 2/3 into 2/3 128.121 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/6 (- (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 128.121 * [taylor]: Taking taylor expansion of (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in J 128.121 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 128.121 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 128.121 * [taylor]: Taking taylor expansion of 1/6 in J 128.121 * [backup-simplify]: Simplify 1/6 into 1/6 128.121 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 128.121 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 128.121 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 128.121 * [taylor]: Taking taylor expansion of 1/4 in J 128.121 * [backup-simplify]: Simplify 1/4 into 1/4 128.121 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 128.121 * [taylor]: Taking taylor expansion of (pow J 2) in J 128.121 * [taylor]: Taking taylor expansion of J in J 128.122 * [backup-simplify]: Simplify 0 into 0 128.122 * [backup-simplify]: Simplify 1 into 1 128.122 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 128.122 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 128.122 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 128.122 * [taylor]: Taking taylor expansion of 1/2 in J 128.122 * [backup-simplify]: Simplify 1/2 into 1/2 128.122 * [taylor]: Taking taylor expansion of K in J 128.122 * [backup-simplify]: Simplify K into K 128.122 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 128.122 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 128.122 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 128.122 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 128.122 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 128.123 * [backup-simplify]: Simplify (- 0) into 0 128.123 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 128.123 * [backup-simplify]: Simplify (* 1 1) into 1 128.123 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 128.123 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 128.123 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 128.124 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 128.124 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 128.124 * [taylor]: Taking taylor expansion of 2 in J 128.124 * [backup-simplify]: Simplify 2 into 2 128.124 * [taylor]: Taking taylor expansion of (log U) in J 128.124 * [taylor]: Taking taylor expansion of U in J 128.124 * [backup-simplify]: Simplify U into U 128.124 * [backup-simplify]: Simplify (log U) into (log U) 128.124 * [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)))) 128.124 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 128.124 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 128.125 * [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))) 128.125 * [backup-simplify]: Simplify (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 128.125 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 128.125 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 128.125 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 128.125 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 128.126 * [taylor]: Taking taylor expansion of 1/2 in J 128.126 * [backup-simplify]: Simplify 1/2 into 1/2 128.126 * [taylor]: Taking taylor expansion of K in J 128.126 * [backup-simplify]: Simplify K into K 128.126 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 128.126 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 128.126 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 128.126 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 128.126 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 128.126 * [backup-simplify]: Simplify (- 0) into 0 128.126 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 128.126 * [taylor]: Taking taylor expansion of (pow J 2) in J 128.126 * [taylor]: Taking taylor expansion of J in J 128.127 * [backup-simplify]: Simplify 0 into 0 128.127 * [backup-simplify]: Simplify 1 into 1 128.127 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 128.127 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 128.128 * [backup-simplify]: Simplify (* 1 1) into 1 128.128 * [backup-simplify]: Simplify (/ (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 1) into (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 128.128 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 128.129 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 128.129 * [backup-simplify]: Simplify (+ 0) into 0 128.130 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 128.130 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 128.131 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 128.138 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 128.139 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 128.139 * [backup-simplify]: Simplify (- 0) into 0 128.140 * [backup-simplify]: Simplify (+ 0 0) into 0 128.140 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 128.141 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 128.141 * [backup-simplify]: Simplify (- 0) into 0 128.141 * [backup-simplify]: Simplify (+ 0 0) into 0 128.142 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 128.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 128.143 * [backup-simplify]: Simplify (+ 0) into 0 128.144 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 128.144 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 128.145 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 128.145 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 128.145 * [backup-simplify]: Simplify (- 0) into 0 128.146 * [backup-simplify]: Simplify (+ 0 0) into 0 128.146 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 128.146 * [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 0 128.147 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 128.148 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 128.149 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 128.149 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 128.149 * [backup-simplify]: Simplify (- 0) into 0 128.150 * [backup-simplify]: Simplify (+ 0 0) into 0 128.150 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 128.152 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 128.152 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 128.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 128.154 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 128.154 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 128.154 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 128.155 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 128.156 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 128.156 * [backup-simplify]: Simplify (- 0) into 0 128.157 * [backup-simplify]: Simplify (+ 0 0) into 0 128.157 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 128.158 * [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 0 128.158 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 128.160 * [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 0 128.162 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 128.163 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 128.163 * [backup-simplify]: Simplify (- 0) into 0 128.163 * [backup-simplify]: Simplify (+ 0 0) into 0 128.164 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 128.166 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 128.167 * [backup-simplify]: Simplify (+ (* (exp (* 1/6 (- (+ (* 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 0 128.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 128.169 * [backup-simplify]: Simplify (+ (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 128.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 128.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)))) into 0 128.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/6 (- (+ (* 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 0 128.174 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2))))) into 0 128.174 * [backup-simplify]: Simplify 0 into 0 128.174 * [taylor]: Taking taylor expansion of 0 in J 128.174 * [backup-simplify]: Simplify 0 into 0 128.174 * [backup-simplify]: Simplify 0 into 0 128.174 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 128.175 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 128.175 * [backup-simplify]: 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 0 128.176 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 128.178 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into 0 128.180 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 128.181 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 128.181 * [backup-simplify]: Simplify (- 0) into 0 128.182 * [backup-simplify]: Simplify (+ 0 0) into 0 128.183 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 128.184 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 128.184 * [taylor]: Taking taylor expansion of 0 in J 128.184 * [backup-simplify]: Simplify 0 into 0 128.184 * [backup-simplify]: Simplify 0 into 0 128.185 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log (/ 1 J))) (log (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)))) (* 2 (log (/ 1 U)))))) into (exp (* 1/6 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) 128.186 * [backup-simplify]: Simplify (cbrt (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) 128.186 * [approximate]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) in (U K J) around 0 128.186 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) in J 128.186 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 128.186 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 128.186 * [taylor]: Taking taylor expansion of 1/6 in J 128.186 * [backup-simplify]: Simplify 1/6 into 1/6 128.186 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 128.186 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 128.186 * [taylor]: Taking taylor expansion of 1 in J 128.186 * [backup-simplify]: Simplify 1 into 1 128.186 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 128.186 * [taylor]: Taking taylor expansion of 1/4 in J 128.186 * [backup-simplify]: Simplify 1/4 into 1/4 128.186 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 128.186 * [taylor]: Taking taylor expansion of (pow J 2) in J 128.186 * [taylor]: Taking taylor expansion of J in J 128.186 * [backup-simplify]: Simplify 0 into 0 128.186 * [backup-simplify]: Simplify 1 into 1 128.186 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 128.186 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 128.186 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 128.186 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 128.186 * [taylor]: Taking taylor expansion of -1/2 in J 128.186 * [backup-simplify]: Simplify -1/2 into -1/2 128.186 * [taylor]: Taking taylor expansion of K in J 128.187 * [backup-simplify]: Simplify K into K 128.187 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 128.187 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 128.187 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 128.187 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 128.187 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 128.187 * [backup-simplify]: Simplify (- 0) into 0 128.187 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 128.187 * [taylor]: Taking taylor expansion of (pow U 2) in J 128.187 * [taylor]: Taking taylor expansion of U in J 128.188 * [backup-simplify]: Simplify U into U 128.188 * [backup-simplify]: Simplify (* 1 1) into 1 128.188 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 128.188 * [backup-simplify]: Simplify (* U U) into (pow U 2) 128.188 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 128.188 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 128.189 * [backup-simplify]: Simplify (+ 1 0) into 1 128.189 * [backup-simplify]: Simplify (log 1) into 0 128.190 * [backup-simplify]: Simplify (* 1/6 0) into 0 128.190 * [backup-simplify]: Simplify (+ 0 0) into 0 128.191 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 128.192 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 0)) into 0 128.192 * [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))) 128.192 * [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)))) 128.195 * [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))) 128.195 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 128.195 * [backup-simplify]: Simplify (exp 0) into 1 128.195 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) in K 128.195 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 128.195 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 128.196 * [taylor]: Taking taylor expansion of 1/6 in K 128.196 * [backup-simplify]: Simplify 1/6 into 1/6 128.196 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 128.196 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 128.196 * [taylor]: Taking taylor expansion of 1 in K 128.196 * [backup-simplify]: Simplify 1 into 1 128.196 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 128.196 * [taylor]: Taking taylor expansion of 1/4 in K 128.196 * [backup-simplify]: Simplify 1/4 into 1/4 128.196 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 128.196 * [taylor]: Taking taylor expansion of (pow J 2) in K 128.196 * [taylor]: Taking taylor expansion of J in K 128.196 * [backup-simplify]: Simplify J into J 128.196 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 128.196 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 128.196 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 128.196 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 128.196 * [taylor]: Taking taylor expansion of -1/2 in K 128.196 * [backup-simplify]: Simplify -1/2 into -1/2 128.196 * [taylor]: Taking taylor expansion of K in K 128.196 * [backup-simplify]: Simplify 0 into 0 128.196 * [backup-simplify]: Simplify 1 into 1 128.197 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 128.197 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 128.197 * [taylor]: Taking taylor expansion of (pow U 2) in K 128.197 * [taylor]: Taking taylor expansion of U in K 128.197 * [backup-simplify]: Simplify U into U 128.197 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.197 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 128.197 * [backup-simplify]: Simplify (* U U) into (pow U 2) 128.197 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 128.198 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 128.198 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 128.198 * [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))))) 128.199 * [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)))))) 128.199 * [backup-simplify]: Simplify (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 128.199 * [backup-simplify]: Simplify (exp (* 1/6 (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))))) 1/6) 128.200 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) in U 128.200 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 128.200 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 128.200 * [taylor]: Taking taylor expansion of 1/6 in U 128.200 * [backup-simplify]: Simplify 1/6 into 1/6 128.200 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 128.200 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 128.200 * [taylor]: Taking taylor expansion of 1 in U 128.200 * [backup-simplify]: Simplify 1 into 1 128.200 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 128.200 * [taylor]: Taking taylor expansion of 1/4 in U 128.200 * [backup-simplify]: Simplify 1/4 into 1/4 128.200 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 128.200 * [taylor]: Taking taylor expansion of (pow J 2) in U 128.200 * [taylor]: Taking taylor expansion of J in U 128.200 * [backup-simplify]: Simplify J into J 128.200 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 128.200 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 128.200 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 128.200 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 128.200 * [taylor]: Taking taylor expansion of -1/2 in U 128.200 * [backup-simplify]: Simplify -1/2 into -1/2 128.200 * [taylor]: Taking taylor expansion of K in U 128.200 * [backup-simplify]: Simplify K into K 128.200 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 128.200 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 128.200 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 128.200 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 128.201 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 128.201 * [backup-simplify]: Simplify (- 0) into 0 128.201 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 128.201 * [taylor]: Taking taylor expansion of (pow U 2) in U 128.201 * [taylor]: Taking taylor expansion of U in U 128.201 * [backup-simplify]: Simplify 0 into 0 128.201 * [backup-simplify]: Simplify 1 into 1 128.201 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.202 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 128.202 * [backup-simplify]: Simplify (* 1 1) into 1 128.202 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 128.202 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 128.202 * [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))) 128.203 * [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))) 128.203 * [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)))) 128.204 * [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))) 128.204 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 128.204 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 128.204 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) in U 128.204 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 128.204 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 128.204 * [taylor]: Taking taylor expansion of 1/6 in U 128.204 * [backup-simplify]: Simplify 1/6 into 1/6 128.204 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 128.204 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 128.204 * [taylor]: Taking taylor expansion of 1 in U 128.205 * [backup-simplify]: Simplify 1 into 1 128.205 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 128.205 * [taylor]: Taking taylor expansion of 1/4 in U 128.205 * [backup-simplify]: Simplify 1/4 into 1/4 128.205 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 128.205 * [taylor]: Taking taylor expansion of (pow J 2) in U 128.205 * [taylor]: Taking taylor expansion of J in U 128.205 * [backup-simplify]: Simplify J into J 128.205 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 128.205 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 128.205 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 128.205 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 128.205 * [taylor]: Taking taylor expansion of -1/2 in U 128.205 * [backup-simplify]: Simplify -1/2 into -1/2 128.205 * [taylor]: Taking taylor expansion of K in U 128.205 * [backup-simplify]: Simplify K into K 128.205 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 128.205 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 128.205 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 128.205 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 128.205 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 128.206 * [backup-simplify]: Simplify (- 0) into 0 128.206 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 128.206 * [taylor]: Taking taylor expansion of (pow U 2) in U 128.206 * [taylor]: Taking taylor expansion of U in U 128.206 * [backup-simplify]: Simplify 0 into 0 128.206 * [backup-simplify]: Simplify 1 into 1 128.206 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.206 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 128.206 * [backup-simplify]: Simplify (* 1 1) into 1 128.207 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 128.207 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 128.207 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 128.207 * [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))) 128.208 * [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)))) 128.208 * [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))) 128.208 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 128.209 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 128.209 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 128.209 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 128.209 * [taylor]: Taking taylor expansion of 1/6 in K 128.209 * [backup-simplify]: Simplify 1/6 into 1/6 128.209 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 128.209 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in K 128.209 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 128.209 * [taylor]: Taking taylor expansion of 1/4 in K 128.209 * [backup-simplify]: Simplify 1/4 into 1/4 128.209 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 128.209 * [taylor]: Taking taylor expansion of (pow J 2) in K 128.209 * [taylor]: Taking taylor expansion of J in K 128.209 * [backup-simplify]: Simplify J into J 128.209 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 128.209 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 128.209 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 128.209 * [taylor]: Taking taylor expansion of -1/2 in K 128.209 * [backup-simplify]: Simplify -1/2 into -1/2 128.209 * [taylor]: Taking taylor expansion of K in K 128.209 * [backup-simplify]: Simplify 0 into 0 128.209 * [backup-simplify]: Simplify 1 into 1 128.210 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 128.210 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 128.210 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.210 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 128.210 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 128.211 * [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))) 128.211 * [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)))) 128.211 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 128.211 * [taylor]: Taking taylor expansion of 2 in K 128.211 * [backup-simplify]: Simplify 2 into 2 128.211 * [taylor]: Taking taylor expansion of (log U) in K 128.211 * [taylor]: Taking taylor expansion of U in K 128.211 * [backup-simplify]: Simplify U into U 128.211 * [backup-simplify]: Simplify (log U) into (log U) 128.211 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 128.211 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 128.211 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 128.212 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 128.212 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 128.212 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 128.212 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 128.212 * [taylor]: Taking taylor expansion of 1/6 in J 128.212 * [backup-simplify]: Simplify 1/6 into 1/6 128.212 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 128.212 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 128.212 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 128.212 * [taylor]: Taking taylor expansion of 1/4 in J 128.212 * [backup-simplify]: Simplify 1/4 into 1/4 128.212 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 128.212 * [taylor]: Taking taylor expansion of (pow J 2) in J 128.212 * [taylor]: Taking taylor expansion of J in J 128.212 * [backup-simplify]: Simplify 0 into 0 128.213 * [backup-simplify]: Simplify 1 into 1 128.213 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 128.213 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 128.213 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 128.213 * [taylor]: Taking taylor expansion of -1/2 in J 128.213 * [backup-simplify]: Simplify -1/2 into -1/2 128.213 * [taylor]: Taking taylor expansion of K in J 128.213 * [backup-simplify]: Simplify K into K 128.213 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 128.213 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 128.213 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 128.213 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 128.213 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 128.214 * [backup-simplify]: Simplify (- 0) into 0 128.214 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 128.214 * [backup-simplify]: Simplify (* 1 1) into 1 128.214 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 128.214 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 128.214 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 128.215 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 128.215 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 128.215 * [taylor]: Taking taylor expansion of 2 in J 128.215 * [backup-simplify]: Simplify 2 into 2 128.215 * [taylor]: Taking taylor expansion of (log U) in J 128.215 * [taylor]: Taking taylor expansion of U in J 128.215 * [backup-simplify]: Simplify U into U 128.215 * [backup-simplify]: Simplify (log U) into (log U) 128.215 * [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)))) 128.216 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 128.216 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 128.216 * [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))) 128.216 * [backup-simplify]: Simplify (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 128.217 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 128.217 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 128.217 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 128.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 128.219 * [backup-simplify]: Simplify (+ 0) into 0 128.219 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 128.219 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 128.220 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 128.221 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 128.221 * [backup-simplify]: Simplify (- 0) into 0 128.221 * [backup-simplify]: Simplify (+ 0 0) into 0 128.221 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 128.222 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 128.222 * [backup-simplify]: 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 0 128.223 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 128.224 * [backup-simplify]: Simplify (+ 0 0) into 0 128.224 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 128.225 * [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))) 128.226 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 128.227 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 128.227 * [taylor]: Taking taylor expansion of 0 in K 128.227 * [backup-simplify]: Simplify 0 into 0 128.227 * [taylor]: Taking taylor expansion of 0 in J 128.227 * [backup-simplify]: Simplify 0 into 0 128.227 * [backup-simplify]: Simplify 0 into 0 128.227 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 128.227 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 128.228 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 128.229 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 128.230 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 128.230 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 128.231 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 128.231 * [backup-simplify]: Simplify (- 0) into 0 128.231 * [backup-simplify]: Simplify (+ 0 0) into 0 128.232 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 128.233 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 128.233 * [taylor]: Taking taylor expansion of 0 in J 128.233 * [backup-simplify]: Simplify 0 into 0 128.233 * [backup-simplify]: Simplify 0 into 0 128.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 128.234 * [backup-simplify]: Simplify (+ 0) into 0 128.235 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 128.235 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 128.236 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 128.236 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 128.237 * [backup-simplify]: Simplify (- 0) into 0 128.237 * [backup-simplify]: Simplify (+ 0 0) into 0 128.237 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 128.238 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 128.238 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 128.239 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 128.240 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 128.241 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 128.241 * [backup-simplify]: Simplify (- 0) into 0 128.241 * [backup-simplify]: Simplify (+ 0 0) into 0 128.242 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 128.243 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 128.243 * [backup-simplify]: Simplify 0 into 0 128.244 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 128.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 128.246 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 128.246 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 128.246 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 128.247 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 128.248 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 128.248 * [backup-simplify]: Simplify (- 0) into 0 128.249 * [backup-simplify]: Simplify (+ 0 0) into 0 128.249 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 128.250 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 128.250 * [backup-simplify]: 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 0 128.251 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 128.252 * [backup-simplify]: Simplify (+ 1 0) into 1 128.254 * [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))) 128.254 * [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))) 128.255 * [backup-simplify]: Simplify (+ (* 1/6 (* 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 (* 2/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 128.257 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 2/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 2/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) 128.257 * [taylor]: Taking taylor expansion of (* 2/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) in K 128.257 * [taylor]: Taking taylor expansion of 2/3 in K 128.257 * [backup-simplify]: Simplify 2/3 into 2/3 128.257 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in K 128.257 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in K 128.257 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 128.257 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 128.257 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 128.257 * [taylor]: Taking taylor expansion of -1/2 in K 128.257 * [backup-simplify]: Simplify -1/2 into -1/2 128.257 * [taylor]: Taking taylor expansion of K in K 128.257 * [backup-simplify]: Simplify 0 into 0 128.257 * [backup-simplify]: Simplify 1 into 1 128.257 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 128.258 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 128.258 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 128.258 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 128.258 * [taylor]: Taking taylor expansion of 1/6 in K 128.258 * [backup-simplify]: Simplify 1/6 into 1/6 128.258 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 128.258 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in K 128.258 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 128.258 * [taylor]: Taking taylor expansion of 1/4 in K 128.258 * [backup-simplify]: Simplify 1/4 into 1/4 128.258 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 128.258 * [taylor]: Taking taylor expansion of (pow J 2) in K 128.258 * [taylor]: Taking taylor expansion of J in K 128.258 * [backup-simplify]: Simplify J into J 128.258 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 128.258 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 128.258 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 128.258 * [taylor]: Taking taylor expansion of -1/2 in K 128.258 * [backup-simplify]: Simplify -1/2 into -1/2 128.258 * [taylor]: Taking taylor expansion of K in K 128.258 * [backup-simplify]: Simplify 0 into 0 128.258 * [backup-simplify]: Simplify 1 into 1 128.259 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 128.259 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 128.259 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.259 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 128.259 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 128.259 * [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))) 128.260 * [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)))) 128.260 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 128.260 * [taylor]: Taking taylor expansion of 2 in K 128.260 * [backup-simplify]: Simplify 2 into 2 128.260 * [taylor]: Taking taylor expansion of (log U) in K 128.260 * [taylor]: Taking taylor expansion of U in K 128.260 * [backup-simplify]: Simplify U into U 128.260 * [backup-simplify]: Simplify (log U) into (log U) 128.260 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 128.260 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 128.260 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 128.261 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 128.261 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 128.261 * [taylor]: Taking taylor expansion of (pow J 2) in K 128.261 * [taylor]: Taking taylor expansion of J in K 128.261 * [backup-simplify]: Simplify J into J 128.261 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 128.262 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 128.262 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.262 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) into (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) 128.263 * [backup-simplify]: Simplify (* 2/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) into (* 2/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) 128.263 * [taylor]: Taking taylor expansion of (* 2/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) in J 128.263 * [taylor]: Taking taylor expansion of 2/3 in J 128.263 * [backup-simplify]: Simplify 2/3 into 2/3 128.263 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in J 128.263 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in J 128.263 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 128.263 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 128.263 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 128.263 * [taylor]: Taking taylor expansion of -1/2 in J 128.263 * [backup-simplify]: Simplify -1/2 into -1/2 128.263 * [taylor]: Taking taylor expansion of K in J 128.263 * [backup-simplify]: Simplify K into K 128.263 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 128.263 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 128.264 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 128.264 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 128.264 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 128.264 * [backup-simplify]: Simplify (- 0) into 0 128.264 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 128.264 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 128.264 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 128.264 * [taylor]: Taking taylor expansion of 1/6 in J 128.264 * [backup-simplify]: Simplify 1/6 into 1/6 128.264 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 128.264 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 128.265 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 128.265 * [taylor]: Taking taylor expansion of 1/4 in J 128.265 * [backup-simplify]: Simplify 1/4 into 1/4 128.265 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 128.265 * [taylor]: Taking taylor expansion of (pow J 2) in J 128.265 * [taylor]: Taking taylor expansion of J in J 128.265 * [backup-simplify]: Simplify 0 into 0 128.265 * [backup-simplify]: Simplify 1 into 1 128.265 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 128.265 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 128.265 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 128.265 * [taylor]: Taking taylor expansion of -1/2 in J 128.265 * [backup-simplify]: Simplify -1/2 into -1/2 128.265 * [taylor]: Taking taylor expansion of K in J 128.265 * [backup-simplify]: Simplify K into K 128.265 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 128.265 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 128.265 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 128.265 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 128.265 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 128.266 * [backup-simplify]: Simplify (- 0) into 0 128.266 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 128.266 * [backup-simplify]: Simplify (* 1 1) into 1 128.266 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 128.266 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 128.267 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 128.267 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 128.267 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 128.267 * [taylor]: Taking taylor expansion of 2 in J 128.267 * [backup-simplify]: Simplify 2 into 2 128.267 * [taylor]: Taking taylor expansion of (log U) in J 128.267 * [taylor]: Taking taylor expansion of U in J 128.267 * [backup-simplify]: Simplify U into U 128.267 * [backup-simplify]: Simplify (log U) into (log U) 128.268 * [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)))) 128.268 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 128.268 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 128.268 * [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))) 128.268 * [backup-simplify]: Simplify (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 128.269 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 128.269 * [taylor]: Taking taylor expansion of (pow J 2) in J 128.269 * [taylor]: Taking taylor expansion of J in J 128.269 * [backup-simplify]: Simplify 0 into 0 128.269 * [backup-simplify]: Simplify 1 into 1 128.269 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 128.269 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 128.270 * [backup-simplify]: Simplify (* 1 1) into 1 128.270 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 1) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 128.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 128.271 * [backup-simplify]: Simplify (+ 0) into 0 128.272 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 128.272 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 128.273 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 128.273 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 128.274 * [backup-simplify]: Simplify (- 0) into 0 128.274 * [backup-simplify]: Simplify (+ 0 0) into 0 128.274 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 128.275 * [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 0 128.275 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 128.276 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 128.277 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 128.277 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 128.278 * [backup-simplify]: Simplify (- 0) into 0 128.278 * [backup-simplify]: Simplify (+ 0 0) into 0 128.279 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 128.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 128.281 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 128.282 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 128.282 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 128.283 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 128.283 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 128.284 * [backup-simplify]: Simplify (- 0) into 0 128.284 * [backup-simplify]: Simplify (+ 0 0) into 0 128.285 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 128.285 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 128.286 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 128.288 * [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 0 128.289 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 128.295 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 128.295 * [backup-simplify]: Simplify (- 0) into 0 128.296 * [backup-simplify]: Simplify (+ 0 0) into 0 128.297 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 128.298 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 128.299 * [backup-simplify]: Simplify (+ 0) into 0 128.299 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 128.300 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 128.300 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 128.301 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 128.301 * [backup-simplify]: Simplify (- 0) into 0 128.302 * [backup-simplify]: Simplify (+ 0 0) into 0 128.302 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 128.303 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 128.304 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 128.305 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 128.305 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 128.306 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 128.306 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 128.307 * [backup-simplify]: Simplify (- 0) into 0 128.307 * [backup-simplify]: Simplify (+ 0 0) into 0 128.308 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 128.309 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))))) into 0 128.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 128.310 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))) into 0 128.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 128.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)))) into 0 128.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 128.315 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))))) into 0 128.315 * [backup-simplify]: Simplify 0 into 0 128.315 * [taylor]: Taking taylor expansion of 0 in J 128.315 * [backup-simplify]: Simplify 0 into 0 128.315 * [backup-simplify]: Simplify 0 into 0 128.316 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 128.316 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 128.317 * [backup-simplify]: 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 0 128.318 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 128.320 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into 0 128.321 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 128.322 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 128.323 * [backup-simplify]: Simplify (- 0) into 0 128.323 * [backup-simplify]: Simplify (+ 0 0) into 0 128.324 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 128.326 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 128.326 * [taylor]: Taking taylor expansion of 0 in J 128.326 * [backup-simplify]: Simplify 0 into 0 128.326 * [backup-simplify]: Simplify 0 into 0 128.326 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log (/ 1 (- J)))) (log (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)))) (* 2 (log (/ 1 (- U))))))) into (exp (* 1/6 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 128.326 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1 1 2) 128.327 * [backup-simplify]: Simplify (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) into (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/6) 128.327 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/6) in (U K J) around 0 128.327 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/6) in J 128.327 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 128.327 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 128.327 * [taylor]: Taking taylor expansion of 1/6 in J 128.327 * [backup-simplify]: Simplify 1/6 into 1/6 128.327 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 128.327 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 128.327 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 128.327 * [taylor]: Taking taylor expansion of 1/4 in J 128.327 * [backup-simplify]: Simplify 1/4 into 1/4 128.327 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 128.327 * [taylor]: Taking taylor expansion of (pow U 2) in J 128.327 * [taylor]: Taking taylor expansion of U in J 128.327 * [backup-simplify]: Simplify U into U 128.327 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 128.327 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 128.327 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 128.327 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 128.327 * [taylor]: Taking taylor expansion of 1/2 in J 128.327 * [backup-simplify]: Simplify 1/2 into 1/2 128.327 * [taylor]: Taking taylor expansion of K in J 128.327 * [backup-simplify]: Simplify K into K 128.327 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 128.328 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 128.328 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 128.328 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 128.328 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 128.328 * [backup-simplify]: Simplify (- 0) into 0 128.328 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 128.328 * [taylor]: Taking taylor expansion of (pow J 2) in J 128.328 * [taylor]: Taking taylor expansion of J in J 128.328 * [backup-simplify]: Simplify 0 into 0 128.328 * [backup-simplify]: Simplify 1 into 1 128.328 * [backup-simplify]: Simplify (* U U) into (pow U 2) 128.329 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 128.329 * [backup-simplify]: Simplify (* 1 1) into 1 128.329 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 128.329 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 128.329 * [taylor]: Taking taylor expansion of 1 in J 128.329 * [backup-simplify]: Simplify 1 into 1 128.329 * [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))) 128.330 * [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))) 128.330 * [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)))) 128.331 * [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))) 128.331 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) into (* 1/6 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) 128.331 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) 128.331 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/6) in K 128.331 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 128.331 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 128.331 * [taylor]: Taking taylor expansion of 1/6 in K 128.331 * [backup-simplify]: Simplify 1/6 into 1/6 128.331 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 128.331 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 128.331 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 128.331 * [taylor]: Taking taylor expansion of 1/4 in K 128.331 * [backup-simplify]: Simplify 1/4 into 1/4 128.331 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 128.332 * [taylor]: Taking taylor expansion of (pow U 2) in K 128.332 * [taylor]: Taking taylor expansion of U in K 128.332 * [backup-simplify]: Simplify U into U 128.332 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 128.332 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 128.332 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 128.332 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 128.332 * [taylor]: Taking taylor expansion of 1/2 in K 128.332 * [backup-simplify]: Simplify 1/2 into 1/2 128.332 * [taylor]: Taking taylor expansion of K in K 128.332 * [backup-simplify]: Simplify 0 into 0 128.332 * [backup-simplify]: Simplify 1 into 1 128.332 * [backup-simplify]: Simplify (* 1/2 0) into 0 128.333 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 128.333 * [taylor]: Taking taylor expansion of (pow J 2) in K 128.333 * [taylor]: Taking taylor expansion of J in K 128.333 * [backup-simplify]: Simplify J into J 128.333 * [backup-simplify]: Simplify (* U U) into (pow U 2) 128.333 * [backup-simplify]: Simplify (* 1 1) into 1 128.333 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.334 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 128.334 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 128.334 * [taylor]: Taking taylor expansion of 1 in K 128.334 * [backup-simplify]: Simplify 1 into 1 128.334 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 128.334 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 128.334 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 128.335 * [backup-simplify]: Simplify (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 128.335 * [backup-simplify]: Simplify (exp (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/6) 128.335 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/6) in U 128.335 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 128.335 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 128.335 * [taylor]: Taking taylor expansion of 1/6 in U 128.335 * [backup-simplify]: Simplify 1/6 into 1/6 128.335 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 128.335 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 128.335 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 128.335 * [taylor]: Taking taylor expansion of 1/4 in U 128.335 * [backup-simplify]: Simplify 1/4 into 1/4 128.335 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 128.335 * [taylor]: Taking taylor expansion of (pow U 2) in U 128.335 * [taylor]: Taking taylor expansion of U in U 128.335 * [backup-simplify]: Simplify 0 into 0 128.335 * [backup-simplify]: Simplify 1 into 1 128.335 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 128.335 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 128.335 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 128.335 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 128.335 * [taylor]: Taking taylor expansion of 1/2 in U 128.335 * [backup-simplify]: Simplify 1/2 into 1/2 128.335 * [taylor]: Taking taylor expansion of K in U 128.335 * [backup-simplify]: Simplify K into K 128.336 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 128.336 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 128.336 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 128.336 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 128.336 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 128.336 * [backup-simplify]: Simplify (- 0) into 0 128.337 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 128.337 * [taylor]: Taking taylor expansion of (pow J 2) in U 128.337 * [taylor]: Taking taylor expansion of J in U 128.337 * [backup-simplify]: Simplify J into J 128.337 * [backup-simplify]: Simplify (* 1 1) into 1 128.337 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 128.337 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.337 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 128.338 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 128.338 * [taylor]: Taking taylor expansion of 1 in U 128.338 * [backup-simplify]: Simplify 1 into 1 128.338 * [backup-simplify]: Simplify (+ 0 1) into 1 128.339 * [backup-simplify]: Simplify (log 1) into 0 128.339 * [backup-simplify]: Simplify (* 1/6 0) into 0 128.340 * [backup-simplify]: Simplify (+ 0 0) into 0 128.341 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 128.342 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 0)) into 0 128.342 * [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))) 128.342 * [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)))) 128.344 * [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))) 128.345 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 128.345 * [backup-simplify]: Simplify (exp 0) into 1 128.345 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/6) in U 128.345 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 128.345 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 128.345 * [taylor]: Taking taylor expansion of 1/6 in U 128.345 * [backup-simplify]: Simplify 1/6 into 1/6 128.345 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 128.345 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 128.345 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 128.345 * [taylor]: Taking taylor expansion of 1/4 in U 128.345 * [backup-simplify]: Simplify 1/4 into 1/4 128.345 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 128.345 * [taylor]: Taking taylor expansion of (pow U 2) in U 128.345 * [taylor]: Taking taylor expansion of U in U 128.345 * [backup-simplify]: Simplify 0 into 0 128.345 * [backup-simplify]: Simplify 1 into 1 128.345 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 128.345 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 128.345 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 128.346 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 128.346 * [taylor]: Taking taylor expansion of 1/2 in U 128.346 * [backup-simplify]: Simplify 1/2 into 1/2 128.346 * [taylor]: Taking taylor expansion of K in U 128.346 * [backup-simplify]: Simplify K into K 128.346 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 128.346 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 128.346 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 128.346 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 128.346 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 128.346 * [backup-simplify]: Simplify (- 0) into 0 128.346 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 128.346 * [taylor]: Taking taylor expansion of (pow J 2) in U 128.346 * [taylor]: Taking taylor expansion of J in U 128.347 * [backup-simplify]: Simplify J into J 128.347 * [backup-simplify]: Simplify (* 1 1) into 1 128.347 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 128.347 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.347 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 128.347 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 128.347 * [taylor]: Taking taylor expansion of 1 in U 128.347 * [backup-simplify]: Simplify 1 into 1 128.348 * [backup-simplify]: Simplify (+ 0 1) into 1 128.348 * [backup-simplify]: Simplify (log 1) into 0 128.349 * [backup-simplify]: Simplify (* 1/6 0) into 0 128.349 * [backup-simplify]: Simplify (+ 0 0) into 0 128.350 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 128.351 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 0)) into 0 128.351 * [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))) 128.352 * [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)))) 128.354 * [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))) 128.354 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 128.354 * [backup-simplify]: Simplify (exp 0) into 1 128.355 * [taylor]: Taking taylor expansion of 1 in K 128.355 * [backup-simplify]: Simplify 1 into 1 128.355 * [taylor]: Taking taylor expansion of 1 in J 128.355 * [backup-simplify]: Simplify 1 into 1 128.355 * [backup-simplify]: Simplify 1 into 1 128.356 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 128.356 * [taylor]: Taking taylor expansion of 0 in K 128.356 * [backup-simplify]: Simplify 0 into 0 128.356 * [taylor]: Taking taylor expansion of 0 in J 128.356 * [backup-simplify]: Simplify 0 into 0 128.356 * [backup-simplify]: Simplify 0 into 0 128.356 * [taylor]: Taking taylor expansion of 0 in J 128.356 * [backup-simplify]: Simplify 0 into 0 128.356 * [backup-simplify]: Simplify 0 into 0 128.356 * [backup-simplify]: Simplify 0 into 0 128.357 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/24 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1)))) into (/ 1/24 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 128.357 * [taylor]: Taking taylor expansion of (/ 1/24 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 128.357 * [taylor]: Taking taylor expansion of 1/24 in K 128.357 * [backup-simplify]: Simplify 1/24 into 1/24 128.357 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 128.357 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 128.357 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 128.357 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 128.357 * [taylor]: Taking taylor expansion of 1/2 in K 128.357 * [backup-simplify]: Simplify 1/2 into 1/2 128.357 * [taylor]: Taking taylor expansion of K in K 128.357 * [backup-simplify]: Simplify 0 into 0 128.357 * [backup-simplify]: Simplify 1 into 1 128.358 * [backup-simplify]: Simplify (* 1/2 0) into 0 128.359 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 128.359 * [taylor]: Taking taylor expansion of (pow J 2) in K 128.359 * [taylor]: Taking taylor expansion of J in K 128.359 * [backup-simplify]: Simplify J into J 128.359 * [backup-simplify]: Simplify (* 1 1) into 1 128.359 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.359 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 128.359 * [backup-simplify]: Simplify (/ 1/24 (pow J 2)) into (/ 1/24 (pow J 2)) 128.359 * [taylor]: Taking taylor expansion of (/ 1/24 (pow J 2)) in J 128.359 * [taylor]: Taking taylor expansion of 1/24 in J 128.359 * [backup-simplify]: Simplify 1/24 into 1/24 128.359 * [taylor]: Taking taylor expansion of (pow J 2) in J 128.359 * [taylor]: Taking taylor expansion of J in J 128.359 * [backup-simplify]: Simplify 0 into 0 128.360 * [backup-simplify]: Simplify 1 into 1 128.360 * [backup-simplify]: Simplify (* 1 1) into 1 128.360 * [backup-simplify]: Simplify (/ 1/24 1) into 1/24 128.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 128.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 128.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/24 (/ 0 1)))) into 0 128.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 0 128.364 * [backup-simplify]: Simplify 0 into 0 128.364 * [taylor]: Taking taylor expansion of 0 in J 128.364 * [backup-simplify]: Simplify 0 into 0 128.364 * [backup-simplify]: Simplify 0 into 0 128.364 * [taylor]: Taking taylor expansion of 0 in J 128.364 * [backup-simplify]: Simplify 0 into 0 128.364 * [backup-simplify]: Simplify 0 into 0 128.364 * [backup-simplify]: Simplify 1 into 1 128.365 * [backup-simplify]: Simplify (cbrt (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) 128.365 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) in (U K J) around 0 128.365 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) in J 128.365 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in J 128.365 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in J 128.365 * [taylor]: Taking taylor expansion of 1/6 in J 128.365 * [backup-simplify]: Simplify 1/6 into 1/6 128.365 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 128.365 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 128.365 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 128.365 * [taylor]: Taking taylor expansion of 1/4 in J 128.365 * [backup-simplify]: Simplify 1/4 into 1/4 128.365 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 128.365 * [taylor]: Taking taylor expansion of (pow J 2) in J 128.365 * [taylor]: Taking taylor expansion of J in J 128.365 * [backup-simplify]: Simplify 0 into 0 128.365 * [backup-simplify]: Simplify 1 into 1 128.365 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 128.365 * [taylor]: Taking taylor expansion of (pow U 2) in J 128.365 * [taylor]: Taking taylor expansion of U in J 128.365 * [backup-simplify]: Simplify U into U 128.365 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 128.365 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 128.365 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 128.365 * [taylor]: Taking taylor expansion of 1/2 in J 128.365 * [backup-simplify]: Simplify 1/2 into 1/2 128.365 * [taylor]: Taking taylor expansion of K in J 128.365 * [backup-simplify]: Simplify K into K 128.365 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 128.365 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 128.365 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 128.366 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 128.366 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 128.366 * [backup-simplify]: Simplify (- 0) into 0 128.366 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 128.366 * [backup-simplify]: Simplify (* 1 1) into 1 128.367 * [backup-simplify]: Simplify (* U U) into (pow U 2) 128.367 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 128.367 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 128.367 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 128.367 * [taylor]: Taking taylor expansion of 1 in J 128.367 * [backup-simplify]: Simplify 1 into 1 128.368 * [backup-simplify]: Simplify (+ 0 1) into 1 128.368 * [backup-simplify]: Simplify (log 1) into 0 128.368 * [backup-simplify]: Simplify (* 1/6 0) into 0 128.369 * [backup-simplify]: Simplify (+ 0 0) into 0 128.370 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 128.371 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 0)) into 0 128.371 * [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))) 128.371 * [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)))) 128.373 * [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))) 128.374 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 128.374 * [backup-simplify]: Simplify (exp 0) into 1 128.374 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) in K 128.374 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in K 128.374 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in K 128.374 * [taylor]: Taking taylor expansion of 1/6 in K 128.374 * [backup-simplify]: Simplify 1/6 into 1/6 128.374 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 128.374 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 128.374 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 128.374 * [taylor]: Taking taylor expansion of 1/4 in K 128.374 * [backup-simplify]: Simplify 1/4 into 1/4 128.374 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 128.374 * [taylor]: Taking taylor expansion of (pow J 2) in K 128.374 * [taylor]: Taking taylor expansion of J in K 128.374 * [backup-simplify]: Simplify J into J 128.374 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 128.375 * [taylor]: Taking taylor expansion of (pow U 2) in K 128.375 * [taylor]: Taking taylor expansion of U in K 128.375 * [backup-simplify]: Simplify U into U 128.375 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 128.375 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 128.375 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 128.375 * [taylor]: Taking taylor expansion of 1/2 in K 128.375 * [backup-simplify]: Simplify 1/2 into 1/2 128.375 * [taylor]: Taking taylor expansion of K in K 128.375 * [backup-simplify]: Simplify 0 into 0 128.375 * [backup-simplify]: Simplify 1 into 1 128.375 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 128.375 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 128.375 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.375 * [backup-simplify]: Simplify (* U U) into (pow U 2) 128.375 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 128.376 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 128.376 * [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))) 128.376 * [taylor]: Taking taylor expansion of 1 in K 128.376 * [backup-simplify]: Simplify 1 into 1 128.376 * [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)))) 128.377 * [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) 128.377 * [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)) 128.378 * [backup-simplify]: Simplify (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) 128.378 * [backup-simplify]: Simplify (exp (* 1/6 (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) 1/6) 128.378 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) in U 128.378 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 128.378 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 128.378 * [taylor]: Taking taylor expansion of 1/6 in U 128.378 * [backup-simplify]: Simplify 1/6 into 1/6 128.378 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 128.378 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 128.378 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 128.378 * [taylor]: Taking taylor expansion of 1/4 in U 128.378 * [backup-simplify]: Simplify 1/4 into 1/4 128.378 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 128.378 * [taylor]: Taking taylor expansion of (pow J 2) in U 128.378 * [taylor]: Taking taylor expansion of J in U 128.378 * [backup-simplify]: Simplify J into J 128.378 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 128.378 * [taylor]: Taking taylor expansion of (pow U 2) in U 128.379 * [taylor]: Taking taylor expansion of U in U 128.379 * [backup-simplify]: Simplify 0 into 0 128.379 * [backup-simplify]: Simplify 1 into 1 128.379 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 128.379 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 128.379 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 128.379 * [taylor]: Taking taylor expansion of 1/2 in U 128.379 * [backup-simplify]: Simplify 1/2 into 1/2 128.379 * [taylor]: Taking taylor expansion of K in U 128.379 * [backup-simplify]: Simplify K into K 128.379 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 128.379 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 128.379 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 128.379 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 128.379 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 128.380 * [backup-simplify]: Simplify (- 0) into 0 128.380 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 128.380 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.380 * [backup-simplify]: Simplify (* 1 1) into 1 128.380 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 128.380 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 128.380 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 128.381 * [taylor]: Taking taylor expansion of 1 in U 128.381 * [backup-simplify]: Simplify 1 into 1 128.381 * [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))) 128.381 * [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))) 128.381 * [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)))) 128.382 * [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))) 128.382 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 128.383 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 128.383 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) in U 128.383 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 128.383 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 128.383 * [taylor]: Taking taylor expansion of 1/6 in U 128.383 * [backup-simplify]: Simplify 1/6 into 1/6 128.383 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 128.383 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 128.383 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 128.383 * [taylor]: Taking taylor expansion of 1/4 in U 128.383 * [backup-simplify]: Simplify 1/4 into 1/4 128.383 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 128.383 * [taylor]: Taking taylor expansion of (pow J 2) in U 128.383 * [taylor]: Taking taylor expansion of J in U 128.383 * [backup-simplify]: Simplify J into J 128.383 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 128.383 * [taylor]: Taking taylor expansion of (pow U 2) in U 128.383 * [taylor]: Taking taylor expansion of U in U 128.383 * [backup-simplify]: Simplify 0 into 0 128.383 * [backup-simplify]: Simplify 1 into 1 128.383 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 128.383 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 128.383 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 128.383 * [taylor]: Taking taylor expansion of 1/2 in U 128.383 * [backup-simplify]: Simplify 1/2 into 1/2 128.383 * [taylor]: Taking taylor expansion of K in U 128.383 * [backup-simplify]: Simplify K into K 128.383 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 128.383 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 128.383 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 128.384 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 128.384 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 128.384 * [backup-simplify]: Simplify (- 0) into 0 128.384 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 128.384 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.385 * [backup-simplify]: Simplify (* 1 1) into 1 128.385 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 128.385 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 128.385 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 128.385 * [taylor]: Taking taylor expansion of 1 in U 128.385 * [backup-simplify]: Simplify 1 into 1 128.385 * [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))) 128.386 * [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))) 128.386 * [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)))) 128.386 * [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))) 128.387 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 128.387 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 128.387 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 128.387 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 128.387 * [taylor]: Taking taylor expansion of 1/6 in K 128.387 * [backup-simplify]: Simplify 1/6 into 1/6 128.387 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 128.387 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in K 128.387 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 128.387 * [taylor]: Taking taylor expansion of 1/4 in K 128.387 * [backup-simplify]: Simplify 1/4 into 1/4 128.387 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 128.387 * [taylor]: Taking taylor expansion of (pow J 2) in K 128.387 * [taylor]: Taking taylor expansion of J in K 128.387 * [backup-simplify]: Simplify J into J 128.388 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 128.388 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 128.388 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 128.388 * [taylor]: Taking taylor expansion of 1/2 in K 128.388 * [backup-simplify]: Simplify 1/2 into 1/2 128.388 * [taylor]: Taking taylor expansion of K in K 128.388 * [backup-simplify]: Simplify 0 into 0 128.388 * [backup-simplify]: Simplify 1 into 1 128.388 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 128.388 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 128.388 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.388 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 128.389 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 128.389 * [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))) 128.389 * [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)))) 128.389 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 128.389 * [taylor]: Taking taylor expansion of 2 in K 128.389 * [backup-simplify]: Simplify 2 into 2 128.389 * [taylor]: Taking taylor expansion of (log U) in K 128.389 * [taylor]: Taking taylor expansion of U in K 128.389 * [backup-simplify]: Simplify U into U 128.389 * [backup-simplify]: Simplify (log U) into (log U) 128.389 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 128.389 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 128.390 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 128.390 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 128.390 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 128.390 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 128.390 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 128.390 * [taylor]: Taking taylor expansion of 1/6 in J 128.390 * [backup-simplify]: Simplify 1/6 into 1/6 128.390 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 128.391 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 128.391 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 128.391 * [taylor]: Taking taylor expansion of 1/4 in J 128.391 * [backup-simplify]: Simplify 1/4 into 1/4 128.391 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 128.391 * [taylor]: Taking taylor expansion of (pow J 2) in J 128.391 * [taylor]: Taking taylor expansion of J in J 128.391 * [backup-simplify]: Simplify 0 into 0 128.391 * [backup-simplify]: Simplify 1 into 1 128.391 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 128.391 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 128.391 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 128.391 * [taylor]: Taking taylor expansion of 1/2 in J 128.391 * [backup-simplify]: Simplify 1/2 into 1/2 128.391 * [taylor]: Taking taylor expansion of K in J 128.391 * [backup-simplify]: Simplify K into K 128.391 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 128.391 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 128.391 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 128.391 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 128.391 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 128.392 * [backup-simplify]: Simplify (- 0) into 0 128.392 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 128.392 * [backup-simplify]: Simplify (* 1 1) into 1 128.392 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 128.392 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 128.393 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 128.393 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 128.393 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 128.393 * [taylor]: Taking taylor expansion of 2 in J 128.393 * [backup-simplify]: Simplify 2 into 2 128.393 * [taylor]: Taking taylor expansion of (log U) in J 128.393 * [taylor]: Taking taylor expansion of U in J 128.393 * [backup-simplify]: Simplify U into U 128.393 * [backup-simplify]: Simplify (log U) into (log U) 128.394 * [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)))) 128.394 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 128.394 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 128.394 * [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))) 128.394 * [backup-simplify]: Simplify (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 128.395 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 128.395 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 128.395 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 128.396 * [backup-simplify]: Simplify (+ 0) into 0 128.396 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 128.396 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 128.397 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 128.398 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 128.398 * [backup-simplify]: Simplify (- 0) into 0 128.398 * [backup-simplify]: Simplify (+ 0 0) into 0 128.399 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 128.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 128.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 128.400 * [backup-simplify]: 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 0 128.401 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 128.401 * [backup-simplify]: Simplify (+ 0 0) into 0 128.402 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 128.403 * [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))) 128.404 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 128.405 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 128.405 * [taylor]: Taking taylor expansion of 0 in K 128.405 * [backup-simplify]: Simplify 0 into 0 128.405 * [taylor]: Taking taylor expansion of 0 in J 128.405 * [backup-simplify]: Simplify 0 into 0 128.405 * [backup-simplify]: Simplify 0 into 0 128.405 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 128.406 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 128.406 * [backup-simplify]: 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 0 128.407 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 128.408 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 128.409 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 128.409 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 128.409 * [backup-simplify]: Simplify (- 0) into 0 128.410 * [backup-simplify]: Simplify (+ 0 0) into 0 128.411 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 128.412 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 128.412 * [taylor]: Taking taylor expansion of 0 in J 128.412 * [backup-simplify]: Simplify 0 into 0 128.412 * [backup-simplify]: Simplify 0 into 0 128.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 128.413 * [backup-simplify]: Simplify (+ 0) into 0 128.413 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 128.414 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 128.414 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 128.415 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 128.415 * [backup-simplify]: Simplify (- 0) into 0 128.415 * [backup-simplify]: Simplify (+ 0 0) into 0 128.416 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 128.416 * [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 0 128.417 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 128.417 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 128.418 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 128.419 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 128.419 * [backup-simplify]: Simplify (- 0) into 0 128.419 * [backup-simplify]: Simplify (+ 0 0) into 0 128.420 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 128.421 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 128.421 * [backup-simplify]: Simplify 0 into 0 128.422 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 128.423 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 128.423 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 128.424 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 128.424 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 128.425 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 128.425 * [backup-simplify]: Simplify (- 0) into 0 128.426 * [backup-simplify]: Simplify (+ 0 0) into 0 128.426 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 128.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 128.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 128.428 * [backup-simplify]: 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 0 128.429 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 128.430 * [backup-simplify]: Simplify (+ 0 1) into 1 128.432 * [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))) 128.432 * [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))) 128.433 * [backup-simplify]: Simplify (+ (* 1/6 (* 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 (* 2/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 128.435 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 2/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 2/3 (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) 128.435 * [taylor]: Taking taylor expansion of (* 2/3 (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) in K 128.435 * [taylor]: Taking taylor expansion of 2/3 in K 128.435 * [backup-simplify]: Simplify 2/3 into 2/3 128.435 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in K 128.435 * [taylor]: Taking taylor expansion of (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in K 128.435 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 128.435 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 128.435 * [taylor]: Taking taylor expansion of 1/6 in K 128.435 * [backup-simplify]: Simplify 1/6 into 1/6 128.435 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 128.435 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in K 128.435 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 128.435 * [taylor]: Taking taylor expansion of 1/4 in K 128.435 * [backup-simplify]: Simplify 1/4 into 1/4 128.435 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 128.435 * [taylor]: Taking taylor expansion of (pow J 2) in K 128.435 * [taylor]: Taking taylor expansion of J in K 128.435 * [backup-simplify]: Simplify J into J 128.435 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 128.435 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 128.435 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 128.435 * [taylor]: Taking taylor expansion of 1/2 in K 128.435 * [backup-simplify]: Simplify 1/2 into 1/2 128.435 * [taylor]: Taking taylor expansion of K in K 128.435 * [backup-simplify]: Simplify 0 into 0 128.435 * [backup-simplify]: Simplify 1 into 1 128.436 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 128.436 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 128.436 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.436 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 128.436 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 128.436 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 128.437 * [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)))) 128.437 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 128.437 * [taylor]: Taking taylor expansion of 2 in K 128.437 * [backup-simplify]: Simplify 2 into 2 128.437 * [taylor]: Taking taylor expansion of (log U) in K 128.437 * [taylor]: Taking taylor expansion of U in K 128.437 * [backup-simplify]: Simplify U into U 128.437 * [backup-simplify]: Simplify (log U) into (log U) 128.437 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 128.437 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 128.437 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 128.438 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 128.438 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 128.438 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 128.438 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 128.438 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 128.438 * [taylor]: Taking taylor expansion of 1/2 in K 128.438 * [backup-simplify]: Simplify 1/2 into 1/2 128.438 * [taylor]: Taking taylor expansion of K in K 128.438 * [backup-simplify]: Simplify 0 into 0 128.438 * [backup-simplify]: Simplify 1 into 1 128.439 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 128.439 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 128.439 * [taylor]: Taking taylor expansion of (pow J 2) in K 128.439 * [taylor]: Taking taylor expansion of J in K 128.439 * [backup-simplify]: Simplify J into J 128.439 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 128.439 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 128.439 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.440 * [backup-simplify]: Simplify (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) into (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) 128.440 * [backup-simplify]: Simplify (* 2/3 (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) into (* 2/3 (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) 128.440 * [taylor]: Taking taylor expansion of (* 2/3 (/ (* (exp (* 1/6 (- (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 128.440 * [taylor]: Taking taylor expansion of 2/3 in J 128.441 * [backup-simplify]: Simplify 2/3 into 2/3 128.441 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/6 (- (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 128.441 * [taylor]: Taking taylor expansion of (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in J 128.441 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 128.441 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 128.441 * [taylor]: Taking taylor expansion of 1/6 in J 128.441 * [backup-simplify]: Simplify 1/6 into 1/6 128.441 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 128.441 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 128.441 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 128.441 * [taylor]: Taking taylor expansion of 1/4 in J 128.441 * [backup-simplify]: Simplify 1/4 into 1/4 128.441 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 128.441 * [taylor]: Taking taylor expansion of (pow J 2) in J 128.441 * [taylor]: Taking taylor expansion of J in J 128.441 * [backup-simplify]: Simplify 0 into 0 128.441 * [backup-simplify]: Simplify 1 into 1 128.441 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 128.441 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 128.441 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 128.441 * [taylor]: Taking taylor expansion of 1/2 in J 128.441 * [backup-simplify]: Simplify 1/2 into 1/2 128.441 * [taylor]: Taking taylor expansion of K in J 128.441 * [backup-simplify]: Simplify K into K 128.441 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 128.441 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 128.441 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 128.441 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 128.442 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 128.442 * [backup-simplify]: Simplify (- 0) into 0 128.442 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 128.442 * [backup-simplify]: Simplify (* 1 1) into 1 128.443 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 128.443 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 128.443 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 128.443 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 128.443 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 128.443 * [taylor]: Taking taylor expansion of 2 in J 128.443 * [backup-simplify]: Simplify 2 into 2 128.443 * [taylor]: Taking taylor expansion of (log U) in J 128.443 * [taylor]: Taking taylor expansion of U in J 128.443 * [backup-simplify]: Simplify U into U 128.443 * [backup-simplify]: Simplify (log U) into (log U) 128.444 * [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)))) 128.444 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 128.444 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 128.444 * [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))) 128.445 * [backup-simplify]: Simplify (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 128.445 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 128.445 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 128.445 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 128.445 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 128.445 * [taylor]: Taking taylor expansion of 1/2 in J 128.445 * [backup-simplify]: Simplify 1/2 into 1/2 128.445 * [taylor]: Taking taylor expansion of K in J 128.445 * [backup-simplify]: Simplify K into K 128.445 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 128.445 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 128.445 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 128.445 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 128.446 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 128.446 * [backup-simplify]: Simplify (- 0) into 0 128.446 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 128.446 * [taylor]: Taking taylor expansion of (pow J 2) in J 128.446 * [taylor]: Taking taylor expansion of J in J 128.446 * [backup-simplify]: Simplify 0 into 0 128.446 * [backup-simplify]: Simplify 1 into 1 128.446 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 128.447 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 128.451 * [backup-simplify]: Simplify (* 1 1) into 1 128.452 * [backup-simplify]: Simplify (/ (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 1) into (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 128.452 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 128.453 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 128.454 * [backup-simplify]: Simplify (+ 0) into 0 128.454 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 128.455 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 128.455 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 128.456 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 128.457 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 128.457 * [backup-simplify]: Simplify (- 0) into 0 128.457 * [backup-simplify]: Simplify (+ 0 0) into 0 128.458 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 128.458 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 128.459 * [backup-simplify]: Simplify (- 0) into 0 128.459 * [backup-simplify]: Simplify (+ 0 0) into 0 128.460 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 128.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 128.461 * [backup-simplify]: Simplify (+ 0) into 0 128.461 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 128.462 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 128.462 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 128.463 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 128.463 * [backup-simplify]: Simplify (- 0) into 0 128.464 * [backup-simplify]: Simplify (+ 0 0) into 0 128.464 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 128.464 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 128.465 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 128.466 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 128.466 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 128.467 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 128.467 * [backup-simplify]: Simplify (- 0) into 0 128.467 * [backup-simplify]: Simplify (+ 0 0) into 0 128.468 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 128.469 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 128.469 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 128.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 128.471 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 128.472 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 128.472 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 128.473 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 128.474 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 128.474 * [backup-simplify]: Simplify (- 0) into 0 128.474 * [backup-simplify]: Simplify (+ 0 0) into 0 128.475 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 128.475 * [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 0 128.476 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 128.478 * [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 0 128.480 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 128.480 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 128.481 * [backup-simplify]: Simplify (- 0) into 0 128.481 * [backup-simplify]: Simplify (+ 0 0) into 0 128.482 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 128.484 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 128.485 * [backup-simplify]: Simplify (+ (* (exp (* 1/6 (- (+ (* 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 0 128.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 128.486 * [backup-simplify]: Simplify (+ (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 128.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 128.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)))) into 0 128.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/6 (- (+ (* 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 0 128.491 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2))))) into 0 128.491 * [backup-simplify]: Simplify 0 into 0 128.491 * [taylor]: Taking taylor expansion of 0 in J 128.491 * [backup-simplify]: Simplify 0 into 0 128.491 * [backup-simplify]: Simplify 0 into 0 128.492 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 128.492 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 128.493 * [backup-simplify]: 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 0 128.493 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 128.495 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into 0 128.497 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 128.498 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 128.498 * [backup-simplify]: Simplify (- 0) into 0 128.499 * [backup-simplify]: Simplify (+ 0 0) into 0 128.500 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 128.501 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 128.501 * [taylor]: Taking taylor expansion of 0 in J 128.501 * [backup-simplify]: Simplify 0 into 0 128.501 * [backup-simplify]: Simplify 0 into 0 128.502 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log (/ 1 J))) (log (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)))) (* 2 (log (/ 1 U)))))) into (exp (* 1/6 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) 128.503 * [backup-simplify]: Simplify (cbrt (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) 128.503 * [approximate]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) in (U K J) around 0 128.503 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) in J 128.503 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 128.503 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 128.503 * [taylor]: Taking taylor expansion of 1/6 in J 128.503 * [backup-simplify]: Simplify 1/6 into 1/6 128.503 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 128.503 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 128.503 * [taylor]: Taking taylor expansion of 1 in J 128.503 * [backup-simplify]: Simplify 1 into 1 128.503 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 128.503 * [taylor]: Taking taylor expansion of 1/4 in J 128.503 * [backup-simplify]: Simplify 1/4 into 1/4 128.503 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 128.503 * [taylor]: Taking taylor expansion of (pow J 2) in J 128.503 * [taylor]: Taking taylor expansion of J in J 128.503 * [backup-simplify]: Simplify 0 into 0 128.503 * [backup-simplify]: Simplify 1 into 1 128.503 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 128.503 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 128.503 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 128.503 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 128.503 * [taylor]: Taking taylor expansion of -1/2 in J 128.503 * [backup-simplify]: Simplify -1/2 into -1/2 128.503 * [taylor]: Taking taylor expansion of K in J 128.503 * [backup-simplify]: Simplify K into K 128.504 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 128.504 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 128.504 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 128.504 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 128.504 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 128.504 * [backup-simplify]: Simplify (- 0) into 0 128.504 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 128.504 * [taylor]: Taking taylor expansion of (pow U 2) in J 128.504 * [taylor]: Taking taylor expansion of U in J 128.504 * [backup-simplify]: Simplify U into U 128.505 * [backup-simplify]: Simplify (* 1 1) into 1 128.505 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 128.505 * [backup-simplify]: Simplify (* U U) into (pow U 2) 128.505 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 128.505 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 128.506 * [backup-simplify]: Simplify (+ 1 0) into 1 128.506 * [backup-simplify]: Simplify (log 1) into 0 128.507 * [backup-simplify]: Simplify (* 1/6 0) into 0 128.507 * [backup-simplify]: Simplify (+ 0 0) into 0 128.508 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 128.509 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 0)) into 0 128.510 * [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))) 128.510 * [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)))) 128.512 * [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))) 128.513 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 128.513 * [backup-simplify]: Simplify (exp 0) into 1 128.513 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) in K 128.513 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 128.513 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 128.513 * [taylor]: Taking taylor expansion of 1/6 in K 128.513 * [backup-simplify]: Simplify 1/6 into 1/6 128.513 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 128.513 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 128.513 * [taylor]: Taking taylor expansion of 1 in K 128.513 * [backup-simplify]: Simplify 1 into 1 128.513 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 128.513 * [taylor]: Taking taylor expansion of 1/4 in K 128.513 * [backup-simplify]: Simplify 1/4 into 1/4 128.513 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 128.513 * [taylor]: Taking taylor expansion of (pow J 2) in K 128.513 * [taylor]: Taking taylor expansion of J in K 128.513 * [backup-simplify]: Simplify J into J 128.513 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 128.513 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 128.513 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 128.513 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 128.513 * [taylor]: Taking taylor expansion of -1/2 in K 128.513 * [backup-simplify]: Simplify -1/2 into -1/2 128.513 * [taylor]: Taking taylor expansion of K in K 128.513 * [backup-simplify]: Simplify 0 into 0 128.514 * [backup-simplify]: Simplify 1 into 1 128.514 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 128.514 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 128.514 * [taylor]: Taking taylor expansion of (pow U 2) in K 128.514 * [taylor]: Taking taylor expansion of U in K 128.514 * [backup-simplify]: Simplify U into U 128.514 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.514 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 128.514 * [backup-simplify]: Simplify (* U U) into (pow U 2) 128.515 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 128.515 * [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))) 128.515 * [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)))) 128.515 * [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))))) 128.516 * [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)))))) 128.516 * [backup-simplify]: Simplify (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 128.517 * [backup-simplify]: Simplify (exp (* 1/6 (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))))) 1/6) 128.517 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) in U 128.517 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 128.517 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 128.517 * [taylor]: Taking taylor expansion of 1/6 in U 128.517 * [backup-simplify]: Simplify 1/6 into 1/6 128.517 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 128.517 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 128.517 * [taylor]: Taking taylor expansion of 1 in U 128.517 * [backup-simplify]: Simplify 1 into 1 128.517 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 128.517 * [taylor]: Taking taylor expansion of 1/4 in U 128.517 * [backup-simplify]: Simplify 1/4 into 1/4 128.517 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 128.517 * [taylor]: Taking taylor expansion of (pow J 2) in U 128.517 * [taylor]: Taking taylor expansion of J in U 128.517 * [backup-simplify]: Simplify J into J 128.518 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 128.518 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 128.518 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 128.518 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 128.518 * [taylor]: Taking taylor expansion of -1/2 in U 128.518 * [backup-simplify]: Simplify -1/2 into -1/2 128.518 * [taylor]: Taking taylor expansion of K in U 128.518 * [backup-simplify]: Simplify K into K 128.518 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 128.518 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 128.518 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 128.518 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 128.518 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 128.519 * [backup-simplify]: Simplify (- 0) into 0 128.519 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 128.519 * [taylor]: Taking taylor expansion of (pow U 2) in U 128.519 * [taylor]: Taking taylor expansion of U in U 128.519 * [backup-simplify]: Simplify 0 into 0 128.519 * [backup-simplify]: Simplify 1 into 1 128.519 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.519 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 128.519 * [backup-simplify]: Simplify (* 1 1) into 1 128.520 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 128.520 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 128.520 * [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))) 128.520 * [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))) 128.520 * [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)))) 128.521 * [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))) 128.521 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 128.522 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 128.522 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) in U 128.522 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 128.522 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 128.522 * [taylor]: Taking taylor expansion of 1/6 in U 128.522 * [backup-simplify]: Simplify 1/6 into 1/6 128.522 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 128.522 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 128.522 * [taylor]: Taking taylor expansion of 1 in U 128.522 * [backup-simplify]: Simplify 1 into 1 128.522 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 128.522 * [taylor]: Taking taylor expansion of 1/4 in U 128.522 * [backup-simplify]: Simplify 1/4 into 1/4 128.522 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 128.522 * [taylor]: Taking taylor expansion of (pow J 2) in U 128.522 * [taylor]: Taking taylor expansion of J in U 128.522 * [backup-simplify]: Simplify J into J 128.522 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 128.522 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 128.522 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 128.522 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 128.522 * [taylor]: Taking taylor expansion of -1/2 in U 128.522 * [backup-simplify]: Simplify -1/2 into -1/2 128.522 * [taylor]: Taking taylor expansion of K in U 128.523 * [backup-simplify]: Simplify K into K 128.523 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 128.523 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 128.523 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 128.523 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 128.523 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 128.523 * [backup-simplify]: Simplify (- 0) into 0 128.523 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 128.523 * [taylor]: Taking taylor expansion of (pow U 2) in U 128.523 * [taylor]: Taking taylor expansion of U in U 128.524 * [backup-simplify]: Simplify 0 into 0 128.524 * [backup-simplify]: Simplify 1 into 1 128.524 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.524 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 128.524 * [backup-simplify]: Simplify (* 1 1) into 1 128.524 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 128.524 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 128.525 * [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))) 128.525 * [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))) 128.525 * [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)))) 128.526 * [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))) 128.526 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 128.526 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 128.527 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 128.527 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 128.527 * [taylor]: Taking taylor expansion of 1/6 in K 128.527 * [backup-simplify]: Simplify 1/6 into 1/6 128.527 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 128.527 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in K 128.527 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 128.527 * [taylor]: Taking taylor expansion of 1/4 in K 128.527 * [backup-simplify]: Simplify 1/4 into 1/4 128.527 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 128.527 * [taylor]: Taking taylor expansion of (pow J 2) in K 128.527 * [taylor]: Taking taylor expansion of J in K 128.527 * [backup-simplify]: Simplify J into J 128.527 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 128.527 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 128.527 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 128.527 * [taylor]: Taking taylor expansion of -1/2 in K 128.527 * [backup-simplify]: Simplify -1/2 into -1/2 128.527 * [taylor]: Taking taylor expansion of K in K 128.527 * [backup-simplify]: Simplify 0 into 0 128.527 * [backup-simplify]: Simplify 1 into 1 128.528 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 128.528 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 128.528 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.528 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 128.528 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 128.528 * [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))) 128.529 * [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)))) 128.529 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 128.529 * [taylor]: Taking taylor expansion of 2 in K 128.529 * [backup-simplify]: Simplify 2 into 2 128.529 * [taylor]: Taking taylor expansion of (log U) in K 128.529 * [taylor]: Taking taylor expansion of U in K 128.529 * [backup-simplify]: Simplify U into U 128.529 * [backup-simplify]: Simplify (log U) into (log U) 128.529 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 128.529 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 128.529 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 128.530 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 128.530 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 128.530 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 128.530 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 128.530 * [taylor]: Taking taylor expansion of 1/6 in J 128.530 * [backup-simplify]: Simplify 1/6 into 1/6 128.530 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 128.530 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 128.530 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 128.530 * [taylor]: Taking taylor expansion of 1/4 in J 128.530 * [backup-simplify]: Simplify 1/4 into 1/4 128.530 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 128.530 * [taylor]: Taking taylor expansion of (pow J 2) in J 128.530 * [taylor]: Taking taylor expansion of J in J 128.530 * [backup-simplify]: Simplify 0 into 0 128.530 * [backup-simplify]: Simplify 1 into 1 128.530 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 128.530 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 128.530 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 128.530 * [taylor]: Taking taylor expansion of -1/2 in J 128.530 * [backup-simplify]: Simplify -1/2 into -1/2 128.530 * [taylor]: Taking taylor expansion of K in J 128.530 * [backup-simplify]: Simplify K into K 128.531 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 128.531 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 128.531 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 128.531 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 128.531 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 128.531 * [backup-simplify]: Simplify (- 0) into 0 128.531 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 128.532 * [backup-simplify]: Simplify (* 1 1) into 1 128.532 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 128.532 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 128.532 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 128.532 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 128.532 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 128.532 * [taylor]: Taking taylor expansion of 2 in J 128.532 * [backup-simplify]: Simplify 2 into 2 128.532 * [taylor]: Taking taylor expansion of (log U) in J 128.533 * [taylor]: Taking taylor expansion of U in J 128.533 * [backup-simplify]: Simplify U into U 128.533 * [backup-simplify]: Simplify (log U) into (log U) 128.533 * [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)))) 128.533 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 128.533 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 128.534 * [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))) 128.534 * [backup-simplify]: Simplify (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 128.534 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 128.535 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 128.535 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 128.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 128.536 * [backup-simplify]: Simplify (+ 0) into 0 128.536 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 128.536 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 128.537 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 128.538 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 128.538 * [backup-simplify]: Simplify (- 0) into 0 128.538 * [backup-simplify]: Simplify (+ 0 0) into 0 128.539 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 128.539 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 128.539 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 128.540 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 128.541 * [backup-simplify]: Simplify (+ 0 0) into 0 128.541 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 128.542 * [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))) 128.543 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 128.544 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 128.544 * [taylor]: Taking taylor expansion of 0 in K 128.544 * [backup-simplify]: Simplify 0 into 0 128.544 * [taylor]: Taking taylor expansion of 0 in J 128.544 * [backup-simplify]: Simplify 0 into 0 128.544 * [backup-simplify]: Simplify 0 into 0 128.544 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 128.544 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 128.545 * [backup-simplify]: 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 0 128.545 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 128.547 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 128.547 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 128.548 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 128.548 * [backup-simplify]: Simplify (- 0) into 0 128.549 * [backup-simplify]: Simplify (+ 0 0) into 0 128.549 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 128.551 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 128.551 * [taylor]: Taking taylor expansion of 0 in J 128.551 * [backup-simplify]: Simplify 0 into 0 128.551 * [backup-simplify]: Simplify 0 into 0 128.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 128.552 * [backup-simplify]: Simplify (+ 0) into 0 128.552 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 128.552 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 128.553 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 128.554 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 128.554 * [backup-simplify]: Simplify (- 0) into 0 128.554 * [backup-simplify]: Simplify (+ 0 0) into 0 128.555 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 128.555 * [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 0 128.555 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 128.556 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 128.557 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 128.558 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 128.558 * [backup-simplify]: Simplify (- 0) into 0 128.558 * [backup-simplify]: Simplify (+ 0 0) into 0 128.559 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 128.560 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 128.560 * [backup-simplify]: Simplify 0 into 0 128.561 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 128.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 128.563 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 128.564 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 128.564 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 128.564 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 128.565 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 128.565 * [backup-simplify]: Simplify (- 0) into 0 128.566 * [backup-simplify]: Simplify (+ 0 0) into 0 128.566 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 128.567 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 128.568 * [backup-simplify]: 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 0 128.569 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 128.569 * [backup-simplify]: Simplify (+ 1 0) into 1 128.571 * [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))) 128.572 * [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))) 128.573 * [backup-simplify]: Simplify (+ (* 1/6 (* 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 (* 2/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 128.574 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 2/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 2/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) 128.574 * [taylor]: Taking taylor expansion of (* 2/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) in K 128.574 * [taylor]: Taking taylor expansion of 2/3 in K 128.574 * [backup-simplify]: Simplify 2/3 into 2/3 128.574 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in K 128.575 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in K 128.575 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 128.575 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 128.575 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 128.575 * [taylor]: Taking taylor expansion of -1/2 in K 128.575 * [backup-simplify]: Simplify -1/2 into -1/2 128.575 * [taylor]: Taking taylor expansion of K in K 128.575 * [backup-simplify]: Simplify 0 into 0 128.575 * [backup-simplify]: Simplify 1 into 1 128.575 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 128.575 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 128.575 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 128.575 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 128.575 * [taylor]: Taking taylor expansion of 1/6 in K 128.575 * [backup-simplify]: Simplify 1/6 into 1/6 128.575 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 128.575 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in K 128.576 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 128.576 * [taylor]: Taking taylor expansion of 1/4 in K 128.576 * [backup-simplify]: Simplify 1/4 into 1/4 128.576 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 128.576 * [taylor]: Taking taylor expansion of (pow J 2) in K 128.576 * [taylor]: Taking taylor expansion of J in K 128.576 * [backup-simplify]: Simplify J into J 128.576 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 128.576 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 128.576 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 128.576 * [taylor]: Taking taylor expansion of -1/2 in K 128.576 * [backup-simplify]: Simplify -1/2 into -1/2 128.576 * [taylor]: Taking taylor expansion of K in K 128.576 * [backup-simplify]: Simplify 0 into 0 128.576 * [backup-simplify]: Simplify 1 into 1 128.576 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 128.576 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 128.576 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.577 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 128.577 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 128.577 * [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))) 128.577 * [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)))) 128.577 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 128.577 * [taylor]: Taking taylor expansion of 2 in K 128.577 * [backup-simplify]: Simplify 2 into 2 128.577 * [taylor]: Taking taylor expansion of (log U) in K 128.577 * [taylor]: Taking taylor expansion of U in K 128.577 * [backup-simplify]: Simplify U into U 128.577 * [backup-simplify]: Simplify (log U) into (log U) 128.577 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 128.578 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 128.578 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 128.578 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 128.579 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 128.579 * [taylor]: Taking taylor expansion of (pow J 2) in K 128.579 * [taylor]: Taking taylor expansion of J in K 128.579 * [backup-simplify]: Simplify J into J 128.579 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 128.579 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 128.579 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.580 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) into (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) 128.580 * [backup-simplify]: Simplify (* 2/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) into (* 2/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) 128.580 * [taylor]: Taking taylor expansion of (* 2/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) in J 128.580 * [taylor]: Taking taylor expansion of 2/3 in J 128.580 * [backup-simplify]: Simplify 2/3 into 2/3 128.581 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in J 128.581 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in J 128.581 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 128.581 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 128.581 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 128.581 * [taylor]: Taking taylor expansion of -1/2 in J 128.581 * [backup-simplify]: Simplify -1/2 into -1/2 128.581 * [taylor]: Taking taylor expansion of K in J 128.581 * [backup-simplify]: Simplify K into K 128.581 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 128.581 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 128.581 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 128.581 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 128.581 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 128.582 * [backup-simplify]: Simplify (- 0) into 0 128.582 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 128.582 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 128.582 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 128.582 * [taylor]: Taking taylor expansion of 1/6 in J 128.582 * [backup-simplify]: Simplify 1/6 into 1/6 128.582 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 128.582 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 128.582 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 128.582 * [taylor]: Taking taylor expansion of 1/4 in J 128.582 * [backup-simplify]: Simplify 1/4 into 1/4 128.582 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 128.582 * [taylor]: Taking taylor expansion of (pow J 2) in J 128.582 * [taylor]: Taking taylor expansion of J in J 128.582 * [backup-simplify]: Simplify 0 into 0 128.582 * [backup-simplify]: Simplify 1 into 1 128.582 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 128.582 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 128.582 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 128.582 * [taylor]: Taking taylor expansion of -1/2 in J 128.582 * [backup-simplify]: Simplify -1/2 into -1/2 128.582 * [taylor]: Taking taylor expansion of K in J 128.582 * [backup-simplify]: Simplify K into K 128.582 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 128.582 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 128.582 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 128.583 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 128.583 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 128.583 * [backup-simplify]: Simplify (- 0) into 0 128.583 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 128.584 * [backup-simplify]: Simplify (* 1 1) into 1 128.584 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 128.584 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 128.584 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 128.584 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 128.584 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 128.584 * [taylor]: Taking taylor expansion of 2 in J 128.584 * [backup-simplify]: Simplify 2 into 2 128.584 * [taylor]: Taking taylor expansion of (log U) in J 128.584 * [taylor]: Taking taylor expansion of U in J 128.584 * [backup-simplify]: Simplify U into U 128.584 * [backup-simplify]: Simplify (log U) into (log U) 128.585 * [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)))) 128.585 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 128.585 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 128.586 * [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))) 128.586 * [backup-simplify]: Simplify (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 128.586 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 128.587 * [taylor]: Taking taylor expansion of (pow J 2) in J 128.587 * [taylor]: Taking taylor expansion of J in J 128.587 * [backup-simplify]: Simplify 0 into 0 128.587 * [backup-simplify]: Simplify 1 into 1 128.587 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 128.587 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 128.588 * [backup-simplify]: Simplify (* 1 1) into 1 128.588 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 1) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 128.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 128.589 * [backup-simplify]: Simplify (+ 0) into 0 128.590 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 128.590 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 128.591 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 128.591 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 128.592 * [backup-simplify]: Simplify (- 0) into 0 128.592 * [backup-simplify]: Simplify (+ 0 0) into 0 128.592 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 128.592 * [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 0 128.593 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 128.594 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 128.595 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 128.595 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 128.596 * [backup-simplify]: Simplify (- 0) into 0 128.596 * [backup-simplify]: Simplify (+ 0 0) into 0 128.597 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 128.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 128.598 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 128.599 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 128.599 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 128.600 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 128.601 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 128.601 * [backup-simplify]: Simplify (- 0) into 0 128.602 * [backup-simplify]: Simplify (+ 0 0) into 0 128.602 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 128.602 * [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 0 128.606 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 128.608 * [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 0 128.609 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 128.609 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 128.609 * [backup-simplify]: Simplify (- 0) into 0 128.610 * [backup-simplify]: Simplify (+ 0 0) into 0 128.610 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 128.611 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 128.611 * [backup-simplify]: Simplify (+ 0) into 0 128.612 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 128.612 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 128.612 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 128.613 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 128.613 * [backup-simplify]: Simplify (- 0) into 0 128.613 * [backup-simplify]: Simplify (+ 0 0) into 0 128.613 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 128.614 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 128.614 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 128.615 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 128.615 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 128.615 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 128.616 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 128.616 * [backup-simplify]: Simplify (- 0) into 0 128.616 * [backup-simplify]: Simplify (+ 0 0) into 0 128.616 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 128.617 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))))) into 0 128.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 128.618 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))) into 0 128.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 128.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)))) into 0 128.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 128.621 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))))) into 0 128.621 * [backup-simplify]: Simplify 0 into 0 128.621 * [taylor]: Taking taylor expansion of 0 in J 128.621 * [backup-simplify]: Simplify 0 into 0 128.621 * [backup-simplify]: Simplify 0 into 0 128.622 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 128.622 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 128.622 * [backup-simplify]: 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 0 128.623 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 128.624 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into 0 128.625 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 128.626 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 128.626 * [backup-simplify]: Simplify (- 0) into 0 128.626 * [backup-simplify]: Simplify (+ 0 0) into 0 128.627 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 128.628 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 128.628 * [taylor]: Taking taylor expansion of 0 in J 128.628 * [backup-simplify]: Simplify 0 into 0 128.628 * [backup-simplify]: Simplify 0 into 0 128.628 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log (/ 1 (- J)))) (log (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)))) (* 2 (log (/ 1 (- U))))))) into (exp (* 1/6 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 128.628 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 1 1 1) 128.628 * [backup-simplify]: Simplify (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) into (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/6) 128.628 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/6) in (U K J) around 0 128.628 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/6) in J 128.628 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 128.628 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 128.628 * [taylor]: Taking taylor expansion of 1/6 in J 128.628 * [backup-simplify]: Simplify 1/6 into 1/6 128.628 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 128.628 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 128.628 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 128.628 * [taylor]: Taking taylor expansion of 1/4 in J 128.628 * [backup-simplify]: Simplify 1/4 into 1/4 128.628 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 128.629 * [taylor]: Taking taylor expansion of (pow U 2) in J 128.629 * [taylor]: Taking taylor expansion of U in J 128.629 * [backup-simplify]: Simplify U into U 128.629 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 128.629 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 128.629 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 128.629 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 128.629 * [taylor]: Taking taylor expansion of 1/2 in J 128.629 * [backup-simplify]: Simplify 1/2 into 1/2 128.629 * [taylor]: Taking taylor expansion of K in J 128.629 * [backup-simplify]: Simplify K into K 128.629 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 128.629 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 128.629 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 128.629 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 128.629 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 128.629 * [backup-simplify]: Simplify (- 0) into 0 128.629 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 128.629 * [taylor]: Taking taylor expansion of (pow J 2) in J 128.629 * [taylor]: Taking taylor expansion of J in J 128.629 * [backup-simplify]: Simplify 0 into 0 128.629 * [backup-simplify]: Simplify 1 into 1 128.629 * [backup-simplify]: Simplify (* U U) into (pow U 2) 128.629 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 128.630 * [backup-simplify]: Simplify (* 1 1) into 1 128.630 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 128.630 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 128.630 * [taylor]: Taking taylor expansion of 1 in J 128.630 * [backup-simplify]: Simplify 1 into 1 128.630 * [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))) 128.630 * [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))) 128.630 * [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)))) 128.631 * [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))) 128.631 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) into (* 1/6 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) 128.632 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) 128.632 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/6) in K 128.632 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 128.632 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 128.632 * [taylor]: Taking taylor expansion of 1/6 in K 128.632 * [backup-simplify]: Simplify 1/6 into 1/6 128.632 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 128.632 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 128.632 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 128.632 * [taylor]: Taking taylor expansion of 1/4 in K 128.632 * [backup-simplify]: Simplify 1/4 into 1/4 128.632 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 128.632 * [taylor]: Taking taylor expansion of (pow U 2) in K 128.632 * [taylor]: Taking taylor expansion of U in K 128.632 * [backup-simplify]: Simplify U into U 128.632 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 128.632 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 128.632 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 128.632 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 128.632 * [taylor]: Taking taylor expansion of 1/2 in K 128.632 * [backup-simplify]: Simplify 1/2 into 1/2 128.632 * [taylor]: Taking taylor expansion of K in K 128.632 * [backup-simplify]: Simplify 0 into 0 128.632 * [backup-simplify]: Simplify 1 into 1 128.633 * [backup-simplify]: Simplify (* 1/2 0) into 0 128.634 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 128.634 * [taylor]: Taking taylor expansion of (pow J 2) in K 128.634 * [taylor]: Taking taylor expansion of J in K 128.634 * [backup-simplify]: Simplify J into J 128.634 * [backup-simplify]: Simplify (* U U) into (pow U 2) 128.634 * [backup-simplify]: Simplify (* 1 1) into 1 128.634 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.634 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 128.634 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 128.634 * [taylor]: Taking taylor expansion of 1 in K 128.634 * [backup-simplify]: Simplify 1 into 1 128.635 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 128.635 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 128.635 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 128.635 * [backup-simplify]: Simplify (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 128.636 * [backup-simplify]: Simplify (exp (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/6) 128.636 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/6) in U 128.636 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 128.636 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 128.636 * [taylor]: Taking taylor expansion of 1/6 in U 128.636 * [backup-simplify]: Simplify 1/6 into 1/6 128.636 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 128.636 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 128.636 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 128.636 * [taylor]: Taking taylor expansion of 1/4 in U 128.636 * [backup-simplify]: Simplify 1/4 into 1/4 128.636 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 128.636 * [taylor]: Taking taylor expansion of (pow U 2) in U 128.636 * [taylor]: Taking taylor expansion of U in U 128.636 * [backup-simplify]: Simplify 0 into 0 128.636 * [backup-simplify]: Simplify 1 into 1 128.636 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 128.636 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 128.636 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 128.636 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 128.636 * [taylor]: Taking taylor expansion of 1/2 in U 128.636 * [backup-simplify]: Simplify 1/2 into 1/2 128.636 * [taylor]: Taking taylor expansion of K in U 128.636 * [backup-simplify]: Simplify K into K 128.636 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 128.636 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 128.636 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 128.637 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 128.637 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 128.637 * [backup-simplify]: Simplify (- 0) into 0 128.637 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 128.637 * [taylor]: Taking taylor expansion of (pow J 2) in U 128.637 * [taylor]: Taking taylor expansion of J in U 128.637 * [backup-simplify]: Simplify J into J 128.638 * [backup-simplify]: Simplify (* 1 1) into 1 128.638 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 128.638 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.638 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 128.638 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 128.638 * [taylor]: Taking taylor expansion of 1 in U 128.638 * [backup-simplify]: Simplify 1 into 1 128.639 * [backup-simplify]: Simplify (+ 0 1) into 1 128.639 * [backup-simplify]: Simplify (log 1) into 0 128.639 * [backup-simplify]: Simplify (* 1/6 0) into 0 128.640 * [backup-simplify]: Simplify (+ 0 0) into 0 128.641 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 128.642 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 0)) into 0 128.642 * [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))) 128.642 * [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)))) 128.644 * [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))) 128.645 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 128.645 * [backup-simplify]: Simplify (exp 0) into 1 128.645 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/6) in U 128.645 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 128.645 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 128.645 * [taylor]: Taking taylor expansion of 1/6 in U 128.645 * [backup-simplify]: Simplify 1/6 into 1/6 128.645 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 128.646 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 128.646 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 128.646 * [taylor]: Taking taylor expansion of 1/4 in U 128.646 * [backup-simplify]: Simplify 1/4 into 1/4 128.646 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 128.646 * [taylor]: Taking taylor expansion of (pow U 2) in U 128.646 * [taylor]: Taking taylor expansion of U in U 128.646 * [backup-simplify]: Simplify 0 into 0 128.646 * [backup-simplify]: Simplify 1 into 1 128.646 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 128.646 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 128.646 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 128.646 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 128.646 * [taylor]: Taking taylor expansion of 1/2 in U 128.646 * [backup-simplify]: Simplify 1/2 into 1/2 128.646 * [taylor]: Taking taylor expansion of K in U 128.646 * [backup-simplify]: Simplify K into K 128.646 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 128.646 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 128.646 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 128.646 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 128.646 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 128.647 * [backup-simplify]: Simplify (- 0) into 0 128.647 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 128.647 * [taylor]: Taking taylor expansion of (pow J 2) in U 128.647 * [taylor]: Taking taylor expansion of J in U 128.647 * [backup-simplify]: Simplify J into J 128.647 * [backup-simplify]: Simplify (* 1 1) into 1 128.647 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 128.647 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.648 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 128.648 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 128.648 * [taylor]: Taking taylor expansion of 1 in U 128.648 * [backup-simplify]: Simplify 1 into 1 128.648 * [backup-simplify]: Simplify (+ 0 1) into 1 128.649 * [backup-simplify]: Simplify (log 1) into 0 128.649 * [backup-simplify]: Simplify (* 1/6 0) into 0 128.649 * [backup-simplify]: Simplify (+ 0 0) into 0 128.651 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 128.651 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 0)) into 0 128.652 * [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))) 128.652 * [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)))) 128.654 * [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))) 128.655 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 128.655 * [backup-simplify]: Simplify (exp 0) into 1 128.655 * [taylor]: Taking taylor expansion of 1 in K 128.655 * [backup-simplify]: Simplify 1 into 1 128.655 * [taylor]: Taking taylor expansion of 1 in J 128.655 * [backup-simplify]: Simplify 1 into 1 128.655 * [backup-simplify]: Simplify 1 into 1 128.656 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 128.656 * [taylor]: Taking taylor expansion of 0 in K 128.656 * [backup-simplify]: Simplify 0 into 0 128.656 * [taylor]: Taking taylor expansion of 0 in J 128.656 * [backup-simplify]: Simplify 0 into 0 128.656 * [backup-simplify]: Simplify 0 into 0 128.656 * [taylor]: Taking taylor expansion of 0 in J 128.656 * [backup-simplify]: Simplify 0 into 0 128.656 * [backup-simplify]: Simplify 0 into 0 128.656 * [backup-simplify]: Simplify 0 into 0 128.658 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/24 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1)))) into (/ 1/24 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 128.658 * [taylor]: Taking taylor expansion of (/ 1/24 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 128.658 * [taylor]: Taking taylor expansion of 1/24 in K 128.658 * [backup-simplify]: Simplify 1/24 into 1/24 128.658 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 128.658 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 128.658 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 128.658 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 128.658 * [taylor]: Taking taylor expansion of 1/2 in K 128.658 * [backup-simplify]: Simplify 1/2 into 1/2 128.658 * [taylor]: Taking taylor expansion of K in K 128.658 * [backup-simplify]: Simplify 0 into 0 128.658 * [backup-simplify]: Simplify 1 into 1 128.658 * [backup-simplify]: Simplify (* 1/2 0) into 0 128.659 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 128.659 * [taylor]: Taking taylor expansion of (pow J 2) in K 128.659 * [taylor]: Taking taylor expansion of J in K 128.659 * [backup-simplify]: Simplify J into J 128.660 * [backup-simplify]: Simplify (* 1 1) into 1 128.660 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.660 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 128.660 * [backup-simplify]: Simplify (/ 1/24 (pow J 2)) into (/ 1/24 (pow J 2)) 128.660 * [taylor]: Taking taylor expansion of (/ 1/24 (pow J 2)) in J 128.660 * [taylor]: Taking taylor expansion of 1/24 in J 128.660 * [backup-simplify]: Simplify 1/24 into 1/24 128.660 * [taylor]: Taking taylor expansion of (pow J 2) in J 128.660 * [taylor]: Taking taylor expansion of J in J 128.660 * [backup-simplify]: Simplify 0 into 0 128.660 * [backup-simplify]: Simplify 1 into 1 128.661 * [backup-simplify]: Simplify (* 1 1) into 1 128.661 * [backup-simplify]: Simplify (/ 1/24 1) into 1/24 128.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 128.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 128.663 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/24 (/ 0 1)))) into 0 128.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 0 128.664 * [backup-simplify]: Simplify 0 into 0 128.665 * [taylor]: Taking taylor expansion of 0 in J 128.665 * [backup-simplify]: Simplify 0 into 0 128.665 * [backup-simplify]: Simplify 0 into 0 128.665 * [taylor]: Taking taylor expansion of 0 in J 128.665 * [backup-simplify]: Simplify 0 into 0 128.665 * [backup-simplify]: Simplify 0 into 0 128.665 * [backup-simplify]: Simplify 1 into 1 128.665 * [backup-simplify]: Simplify (cbrt (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) 128.666 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) in (U K J) around 0 128.666 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) in J 128.666 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in J 128.666 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in J 128.666 * [taylor]: Taking taylor expansion of 1/6 in J 128.666 * [backup-simplify]: Simplify 1/6 into 1/6 128.666 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 128.666 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 128.666 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 128.666 * [taylor]: Taking taylor expansion of 1/4 in J 128.666 * [backup-simplify]: Simplify 1/4 into 1/4 128.666 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 128.666 * [taylor]: Taking taylor expansion of (pow J 2) in J 128.666 * [taylor]: Taking taylor expansion of J in J 128.666 * [backup-simplify]: Simplify 0 into 0 128.666 * [backup-simplify]: Simplify 1 into 1 128.666 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 128.666 * [taylor]: Taking taylor expansion of (pow U 2) in J 128.666 * [taylor]: Taking taylor expansion of U in J 128.666 * [backup-simplify]: Simplify U into U 128.666 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 128.666 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 128.666 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 128.666 * [taylor]: Taking taylor expansion of 1/2 in J 128.666 * [backup-simplify]: Simplify 1/2 into 1/2 128.666 * [taylor]: Taking taylor expansion of K in J 128.666 * [backup-simplify]: Simplify K into K 128.666 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 128.666 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 128.667 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 128.667 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 128.667 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 128.667 * [backup-simplify]: Simplify (- 0) into 0 128.667 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 128.668 * [backup-simplify]: Simplify (* 1 1) into 1 128.668 * [backup-simplify]: Simplify (* U U) into (pow U 2) 128.668 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 128.668 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 128.668 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 128.668 * [taylor]: Taking taylor expansion of 1 in J 128.668 * [backup-simplify]: Simplify 1 into 1 128.669 * [backup-simplify]: Simplify (+ 0 1) into 1 128.669 * [backup-simplify]: Simplify (log 1) into 0 128.669 * [backup-simplify]: Simplify (* 1/6 0) into 0 128.670 * [backup-simplify]: Simplify (+ 0 0) into 0 128.671 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 128.672 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 0)) into 0 128.672 * [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))) 128.673 * [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)))) 128.675 * [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))) 128.675 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 128.676 * [backup-simplify]: Simplify (exp 0) into 1 128.676 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) in K 128.676 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in K 128.676 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in K 128.676 * [taylor]: Taking taylor expansion of 1/6 in K 128.676 * [backup-simplify]: Simplify 1/6 into 1/6 128.676 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 128.676 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 128.676 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 128.676 * [taylor]: Taking taylor expansion of 1/4 in K 128.676 * [backup-simplify]: Simplify 1/4 into 1/4 128.676 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 128.676 * [taylor]: Taking taylor expansion of (pow J 2) in K 128.676 * [taylor]: Taking taylor expansion of J in K 128.676 * [backup-simplify]: Simplify J into J 128.676 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 128.676 * [taylor]: Taking taylor expansion of (pow U 2) in K 128.676 * [taylor]: Taking taylor expansion of U in K 128.676 * [backup-simplify]: Simplify U into U 128.676 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 128.676 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 128.676 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 128.676 * [taylor]: Taking taylor expansion of 1/2 in K 128.676 * [backup-simplify]: Simplify 1/2 into 1/2 128.676 * [taylor]: Taking taylor expansion of K in K 128.676 * [backup-simplify]: Simplify 0 into 0 128.676 * [backup-simplify]: Simplify 1 into 1 128.677 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 128.677 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 128.677 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.677 * [backup-simplify]: Simplify (* U U) into (pow U 2) 128.677 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 128.677 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 128.678 * [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))) 128.678 * [taylor]: Taking taylor expansion of 1 in K 128.678 * [backup-simplify]: Simplify 1 into 1 128.678 * [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)))) 128.679 * [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) 128.679 * [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)) 128.679 * [backup-simplify]: Simplify (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) 128.680 * [backup-simplify]: Simplify (exp (* 1/6 (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) 1/6) 128.680 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) in U 128.680 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 128.680 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 128.680 * [taylor]: Taking taylor expansion of 1/6 in U 128.680 * [backup-simplify]: Simplify 1/6 into 1/6 128.680 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 128.680 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 128.680 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 128.680 * [taylor]: Taking taylor expansion of 1/4 in U 128.680 * [backup-simplify]: Simplify 1/4 into 1/4 128.680 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 128.680 * [taylor]: Taking taylor expansion of (pow J 2) in U 128.680 * [taylor]: Taking taylor expansion of J in U 128.680 * [backup-simplify]: Simplify J into J 128.680 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 128.680 * [taylor]: Taking taylor expansion of (pow U 2) in U 128.680 * [taylor]: Taking taylor expansion of U in U 128.680 * [backup-simplify]: Simplify 0 into 0 128.680 * [backup-simplify]: Simplify 1 into 1 128.680 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 128.680 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 128.680 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 128.681 * [taylor]: Taking taylor expansion of 1/2 in U 128.681 * [backup-simplify]: Simplify 1/2 into 1/2 128.681 * [taylor]: Taking taylor expansion of K in U 128.681 * [backup-simplify]: Simplify K into K 128.681 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 128.681 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 128.681 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 128.681 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 128.681 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 128.681 * [backup-simplify]: Simplify (- 0) into 0 128.682 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 128.682 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.682 * [backup-simplify]: Simplify (* 1 1) into 1 128.682 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 128.682 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 128.682 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 128.682 * [taylor]: Taking taylor expansion of 1 in U 128.683 * [backup-simplify]: Simplify 1 into 1 128.683 * [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))) 128.683 * [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))) 128.683 * [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)))) 128.684 * [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))) 128.684 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 128.685 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 128.685 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) in U 128.685 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 128.685 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 128.685 * [taylor]: Taking taylor expansion of 1/6 in U 128.685 * [backup-simplify]: Simplify 1/6 into 1/6 128.685 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 128.685 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 128.685 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 128.685 * [taylor]: Taking taylor expansion of 1/4 in U 128.685 * [backup-simplify]: Simplify 1/4 into 1/4 128.685 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 128.685 * [taylor]: Taking taylor expansion of (pow J 2) in U 128.685 * [taylor]: Taking taylor expansion of J in U 128.685 * [backup-simplify]: Simplify J into J 128.685 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 128.685 * [taylor]: Taking taylor expansion of (pow U 2) in U 128.685 * [taylor]: Taking taylor expansion of U in U 128.685 * [backup-simplify]: Simplify 0 into 0 128.685 * [backup-simplify]: Simplify 1 into 1 128.685 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 128.685 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 128.685 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 128.685 * [taylor]: Taking taylor expansion of 1/2 in U 128.685 * [backup-simplify]: Simplify 1/2 into 1/2 128.685 * [taylor]: Taking taylor expansion of K in U 128.685 * [backup-simplify]: Simplify K into K 128.685 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 128.685 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 128.686 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 128.686 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 128.686 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 128.686 * [backup-simplify]: Simplify (- 0) into 0 128.686 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 128.686 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.687 * [backup-simplify]: Simplify (* 1 1) into 1 128.687 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 128.687 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 128.687 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 128.687 * [taylor]: Taking taylor expansion of 1 in U 128.687 * [backup-simplify]: Simplify 1 into 1 128.688 * [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))) 128.688 * [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))) 128.688 * [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)))) 128.689 * [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))) 128.690 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 128.690 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 128.690 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 128.690 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 128.690 * [taylor]: Taking taylor expansion of 1/6 in K 128.690 * [backup-simplify]: Simplify 1/6 into 1/6 128.690 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 128.690 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in K 128.690 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 128.690 * [taylor]: Taking taylor expansion of 1/4 in K 128.690 * [backup-simplify]: Simplify 1/4 into 1/4 128.690 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 128.690 * [taylor]: Taking taylor expansion of (pow J 2) in K 128.690 * [taylor]: Taking taylor expansion of J in K 128.690 * [backup-simplify]: Simplify J into J 128.690 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 128.691 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 128.691 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 128.691 * [taylor]: Taking taylor expansion of 1/2 in K 128.691 * [backup-simplify]: Simplify 1/2 into 1/2 128.691 * [taylor]: Taking taylor expansion of K in K 128.691 * [backup-simplify]: Simplify 0 into 0 128.691 * [backup-simplify]: Simplify 1 into 1 128.691 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 128.691 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 128.692 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.692 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 128.692 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 128.692 * [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))) 128.692 * [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)))) 128.692 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 128.692 * [taylor]: Taking taylor expansion of 2 in K 128.692 * [backup-simplify]: Simplify 2 into 2 128.692 * [taylor]: Taking taylor expansion of (log U) in K 128.692 * [taylor]: Taking taylor expansion of U in K 128.692 * [backup-simplify]: Simplify U into U 128.692 * [backup-simplify]: Simplify (log U) into (log U) 128.693 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 128.693 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 128.693 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 128.693 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 128.694 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 128.694 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 128.694 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 128.694 * [taylor]: Taking taylor expansion of 1/6 in J 128.694 * [backup-simplify]: Simplify 1/6 into 1/6 128.694 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 128.694 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 128.694 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 128.694 * [taylor]: Taking taylor expansion of 1/4 in J 128.694 * [backup-simplify]: Simplify 1/4 into 1/4 128.694 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 128.694 * [taylor]: Taking taylor expansion of (pow J 2) in J 128.694 * [taylor]: Taking taylor expansion of J in J 128.694 * [backup-simplify]: Simplify 0 into 0 128.694 * [backup-simplify]: Simplify 1 into 1 128.694 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 128.694 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 128.694 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 128.694 * [taylor]: Taking taylor expansion of 1/2 in J 128.694 * [backup-simplify]: Simplify 1/2 into 1/2 128.694 * [taylor]: Taking taylor expansion of K in J 128.694 * [backup-simplify]: Simplify K into K 128.694 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 128.694 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 128.694 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 128.694 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 128.695 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 128.695 * [backup-simplify]: Simplify (- 0) into 0 128.695 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 128.695 * [backup-simplify]: Simplify (* 1 1) into 1 128.696 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 128.696 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 128.696 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 128.696 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 128.696 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 128.696 * [taylor]: Taking taylor expansion of 2 in J 128.696 * [backup-simplify]: Simplify 2 into 2 128.696 * [taylor]: Taking taylor expansion of (log U) in J 128.696 * [taylor]: Taking taylor expansion of U in J 128.696 * [backup-simplify]: Simplify U into U 128.696 * [backup-simplify]: Simplify (log U) into (log U) 128.697 * [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)))) 128.697 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 128.697 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 128.697 * [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))) 128.698 * [backup-simplify]: Simplify (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 128.698 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 128.698 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 128.698 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 128.699 * [backup-simplify]: Simplify (+ 0) into 0 128.699 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 128.700 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 128.700 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 128.701 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 128.701 * [backup-simplify]: Simplify (- 0) into 0 128.702 * [backup-simplify]: Simplify (+ 0 0) into 0 128.702 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 128.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 128.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 128.704 * [backup-simplify]: 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 0 128.704 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 128.705 * [backup-simplify]: Simplify (+ 0 0) into 0 128.706 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 128.706 * [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))) 128.707 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 128.708 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 128.708 * [taylor]: Taking taylor expansion of 0 in K 128.708 * [backup-simplify]: Simplify 0 into 0 128.708 * [taylor]: Taking taylor expansion of 0 in J 128.708 * [backup-simplify]: Simplify 0 into 0 128.708 * [backup-simplify]: Simplify 0 into 0 128.708 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 128.708 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 128.709 * [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))))) into 0 128.709 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 128.710 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 128.711 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 128.712 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 128.712 * [backup-simplify]: Simplify (- 0) into 0 128.712 * [backup-simplify]: Simplify (+ 0 0) into 0 128.713 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 128.714 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 128.714 * [taylor]: Taking taylor expansion of 0 in J 128.714 * [backup-simplify]: Simplify 0 into 0 128.714 * [backup-simplify]: Simplify 0 into 0 128.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 128.716 * [backup-simplify]: Simplify (+ 0) into 0 128.716 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 128.716 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 128.717 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 128.717 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 128.718 * [backup-simplify]: Simplify (- 0) into 0 128.718 * [backup-simplify]: Simplify (+ 0 0) into 0 128.718 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 128.719 * [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 0 128.719 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 128.720 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 128.721 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 128.722 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 128.722 * [backup-simplify]: Simplify (- 0) into 0 128.722 * [backup-simplify]: Simplify (+ 0 0) into 0 128.723 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 128.724 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 128.724 * [backup-simplify]: Simplify 0 into 0 128.725 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 128.726 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 128.726 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 128.727 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 128.727 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 128.728 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 128.728 * [backup-simplify]: Simplify (- 0) into 0 128.729 * [backup-simplify]: Simplify (+ 0 0) into 0 128.729 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 128.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 128.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 128.732 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 128.733 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 128.733 * [backup-simplify]: Simplify (+ 0 1) into 1 128.735 * [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))) 128.736 * [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))) 128.737 * [backup-simplify]: Simplify (+ (* 1/6 (* 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 (* 2/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 128.738 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 2/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 2/3 (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) 128.738 * [taylor]: Taking taylor expansion of (* 2/3 (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) in K 128.738 * [taylor]: Taking taylor expansion of 2/3 in K 128.738 * [backup-simplify]: Simplify 2/3 into 2/3 128.738 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in K 128.738 * [taylor]: Taking taylor expansion of (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in K 128.738 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 128.738 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 128.738 * [taylor]: Taking taylor expansion of 1/6 in K 128.738 * [backup-simplify]: Simplify 1/6 into 1/6 128.738 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 128.738 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in K 128.738 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 128.739 * [taylor]: Taking taylor expansion of 1/4 in K 128.739 * [backup-simplify]: Simplify 1/4 into 1/4 128.739 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 128.739 * [taylor]: Taking taylor expansion of (pow J 2) in K 128.739 * [taylor]: Taking taylor expansion of J in K 128.739 * [backup-simplify]: Simplify J into J 128.739 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 128.739 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 128.739 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 128.739 * [taylor]: Taking taylor expansion of 1/2 in K 128.739 * [backup-simplify]: Simplify 1/2 into 1/2 128.739 * [taylor]: Taking taylor expansion of K in K 128.739 * [backup-simplify]: Simplify 0 into 0 128.739 * [backup-simplify]: Simplify 1 into 1 128.739 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 128.739 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 128.739 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.740 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 128.740 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 128.740 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 128.740 * [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)))) 128.740 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 128.740 * [taylor]: Taking taylor expansion of 2 in K 128.740 * [backup-simplify]: Simplify 2 into 2 128.740 * [taylor]: Taking taylor expansion of (log U) in K 128.740 * [taylor]: Taking taylor expansion of U in K 128.740 * [backup-simplify]: Simplify U into U 128.740 * [backup-simplify]: Simplify (log U) into (log U) 128.740 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 128.741 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 128.741 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 128.741 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 128.741 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 128.741 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 128.742 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 128.742 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 128.742 * [taylor]: Taking taylor expansion of 1/2 in K 128.742 * [backup-simplify]: Simplify 1/2 into 1/2 128.742 * [taylor]: Taking taylor expansion of K in K 128.742 * [backup-simplify]: Simplify 0 into 0 128.742 * [backup-simplify]: Simplify 1 into 1 128.742 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 128.742 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 128.742 * [taylor]: Taking taylor expansion of (pow J 2) in K 128.742 * [taylor]: Taking taylor expansion of J in K 128.742 * [backup-simplify]: Simplify J into J 128.742 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 128.743 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 128.743 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.743 * [backup-simplify]: Simplify (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) into (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) 128.744 * [backup-simplify]: Simplify (* 2/3 (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) into (* 2/3 (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) 128.744 * [taylor]: Taking taylor expansion of (* 2/3 (/ (* (exp (* 1/6 (- (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 128.744 * [taylor]: Taking taylor expansion of 2/3 in J 128.744 * [backup-simplify]: Simplify 2/3 into 2/3 128.744 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/6 (- (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 128.744 * [taylor]: Taking taylor expansion of (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in J 128.744 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 128.744 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 128.744 * [taylor]: Taking taylor expansion of 1/6 in J 128.744 * [backup-simplify]: Simplify 1/6 into 1/6 128.744 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 128.744 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 128.744 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 128.744 * [taylor]: Taking taylor expansion of 1/4 in J 128.744 * [backup-simplify]: Simplify 1/4 into 1/4 128.744 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 128.744 * [taylor]: Taking taylor expansion of (pow J 2) in J 128.744 * [taylor]: Taking taylor expansion of J in J 128.744 * [backup-simplify]: Simplify 0 into 0 128.744 * [backup-simplify]: Simplify 1 into 1 128.745 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 128.745 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 128.745 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 128.745 * [taylor]: Taking taylor expansion of 1/2 in J 128.745 * [backup-simplify]: Simplify 1/2 into 1/2 128.745 * [taylor]: Taking taylor expansion of K in J 128.745 * [backup-simplify]: Simplify K into K 128.745 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 128.745 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 128.745 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 128.745 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 128.745 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 128.750 * [backup-simplify]: Simplify (- 0) into 0 128.750 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 128.751 * [backup-simplify]: Simplify (* 1 1) into 1 128.751 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 128.751 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 128.751 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 128.751 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 128.751 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 128.751 * [taylor]: Taking taylor expansion of 2 in J 128.752 * [backup-simplify]: Simplify 2 into 2 128.752 * [taylor]: Taking taylor expansion of (log U) in J 128.752 * [taylor]: Taking taylor expansion of U in J 128.752 * [backup-simplify]: Simplify U into U 128.752 * [backup-simplify]: Simplify (log U) into (log U) 128.752 * [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)))) 128.752 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 128.752 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 128.753 * [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))) 128.753 * [backup-simplify]: Simplify (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 128.753 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 128.753 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 128.753 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 128.753 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 128.753 * [taylor]: Taking taylor expansion of 1/2 in J 128.753 * [backup-simplify]: Simplify 1/2 into 1/2 128.754 * [taylor]: Taking taylor expansion of K in J 128.754 * [backup-simplify]: Simplify K into K 128.754 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 128.754 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 128.754 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 128.754 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 128.754 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 128.754 * [backup-simplify]: Simplify (- 0) into 0 128.754 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 128.754 * [taylor]: Taking taylor expansion of (pow J 2) in J 128.754 * [taylor]: Taking taylor expansion of J in J 128.754 * [backup-simplify]: Simplify 0 into 0 128.755 * [backup-simplify]: Simplify 1 into 1 128.755 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 128.755 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 128.755 * [backup-simplify]: Simplify (* 1 1) into 1 128.756 * [backup-simplify]: Simplify (/ (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 1) into (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 128.756 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 128.757 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 128.757 * [backup-simplify]: Simplify (+ 0) into 0 128.758 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 128.758 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 128.759 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 128.760 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 128.760 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 128.761 * [backup-simplify]: Simplify (- 0) into 0 128.761 * [backup-simplify]: Simplify (+ 0 0) into 0 128.762 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 128.762 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 128.762 * [backup-simplify]: Simplify (- 0) into 0 128.763 * [backup-simplify]: Simplify (+ 0 0) into 0 128.763 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 128.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 128.764 * [backup-simplify]: Simplify (+ 0) into 0 128.765 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 128.765 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 128.766 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 128.766 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 128.766 * [backup-simplify]: Simplify (- 0) into 0 128.767 * [backup-simplify]: Simplify (+ 0 0) into 0 128.767 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 128.767 * [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 0 128.767 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 128.768 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 128.768 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 128.769 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 128.769 * [backup-simplify]: Simplify (- 0) into 0 128.769 * [backup-simplify]: Simplify (+ 0 0) into 0 128.770 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 128.770 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 128.770 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 128.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 128.772 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 128.772 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 128.772 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 128.773 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 128.773 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 128.773 * [backup-simplify]: Simplify (- 0) into 0 128.773 * [backup-simplify]: Simplify (+ 0 0) into 0 128.774 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 128.774 * [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 0 128.775 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 128.776 * [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 0 128.777 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 128.777 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 128.777 * [backup-simplify]: Simplify (- 0) into 0 128.778 * [backup-simplify]: Simplify (+ 0 0) into 0 128.778 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 128.779 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 128.780 * [backup-simplify]: Simplify (+ (* (exp (* 1/6 (- (+ (* 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 0 128.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 128.780 * [backup-simplify]: Simplify (+ (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 128.781 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 128.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)))) into 0 128.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/6 (- (+ (* 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 0 128.784 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2))))) into 0 128.784 * [backup-simplify]: Simplify 0 into 0 128.784 * [taylor]: Taking taylor expansion of 0 in J 128.784 * [backup-simplify]: Simplify 0 into 0 128.784 * [backup-simplify]: Simplify 0 into 0 128.784 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 128.785 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 128.785 * [backup-simplify]: 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 0 128.785 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 128.787 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into 0 128.787 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 128.788 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 128.788 * [backup-simplify]: Simplify (- 0) into 0 128.788 * [backup-simplify]: Simplify (+ 0 0) into 0 128.789 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 128.790 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 128.790 * [taylor]: Taking taylor expansion of 0 in J 128.790 * [backup-simplify]: Simplify 0 into 0 128.790 * [backup-simplify]: Simplify 0 into 0 128.790 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log (/ 1 J))) (log (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)))) (* 2 (log (/ 1 U)))))) into (exp (* 1/6 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) 128.791 * [backup-simplify]: Simplify (cbrt (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) 128.791 * [approximate]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) in (U K J) around 0 128.791 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) in J 128.791 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 128.791 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 128.791 * [taylor]: Taking taylor expansion of 1/6 in J 128.791 * [backup-simplify]: Simplify 1/6 into 1/6 128.791 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 128.791 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 128.791 * [taylor]: Taking taylor expansion of 1 in J 128.791 * [backup-simplify]: Simplify 1 into 1 128.791 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 128.791 * [taylor]: Taking taylor expansion of 1/4 in J 128.791 * [backup-simplify]: Simplify 1/4 into 1/4 128.791 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 128.791 * [taylor]: Taking taylor expansion of (pow J 2) in J 128.791 * [taylor]: Taking taylor expansion of J in J 128.791 * [backup-simplify]: Simplify 0 into 0 128.791 * [backup-simplify]: Simplify 1 into 1 128.791 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 128.791 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 128.791 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 128.791 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 128.791 * [taylor]: Taking taylor expansion of -1/2 in J 128.791 * [backup-simplify]: Simplify -1/2 into -1/2 128.791 * [taylor]: Taking taylor expansion of K in J 128.791 * [backup-simplify]: Simplify K into K 128.791 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 128.791 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 128.791 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 128.791 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 128.792 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 128.792 * [backup-simplify]: Simplify (- 0) into 0 128.792 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 128.792 * [taylor]: Taking taylor expansion of (pow U 2) in J 128.792 * [taylor]: Taking taylor expansion of U in J 128.792 * [backup-simplify]: Simplify U into U 128.792 * [backup-simplify]: Simplify (* 1 1) into 1 128.792 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 128.792 * [backup-simplify]: Simplify (* U U) into (pow U 2) 128.792 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 128.793 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 128.793 * [backup-simplify]: Simplify (+ 1 0) into 1 128.793 * [backup-simplify]: Simplify (log 1) into 0 128.793 * [backup-simplify]: Simplify (* 1/6 0) into 0 128.794 * [backup-simplify]: Simplify (+ 0 0) into 0 128.794 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 128.795 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 0)) into 0 128.795 * [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))) 128.795 * [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)))) 128.796 * [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))) 128.797 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 128.797 * [backup-simplify]: Simplify (exp 0) into 1 128.797 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) in K 128.797 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 128.797 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 128.797 * [taylor]: Taking taylor expansion of 1/6 in K 128.797 * [backup-simplify]: Simplify 1/6 into 1/6 128.797 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 128.797 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 128.797 * [taylor]: Taking taylor expansion of 1 in K 128.797 * [backup-simplify]: Simplify 1 into 1 128.797 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 128.797 * [taylor]: Taking taylor expansion of 1/4 in K 128.797 * [backup-simplify]: Simplify 1/4 into 1/4 128.797 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 128.797 * [taylor]: Taking taylor expansion of (pow J 2) in K 128.797 * [taylor]: Taking taylor expansion of J in K 128.797 * [backup-simplify]: Simplify J into J 128.797 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 128.797 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 128.797 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 128.797 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 128.797 * [taylor]: Taking taylor expansion of -1/2 in K 128.797 * [backup-simplify]: Simplify -1/2 into -1/2 128.797 * [taylor]: Taking taylor expansion of K in K 128.797 * [backup-simplify]: Simplify 0 into 0 128.797 * [backup-simplify]: Simplify 1 into 1 128.797 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 128.797 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 128.797 * [taylor]: Taking taylor expansion of (pow U 2) in K 128.797 * [taylor]: Taking taylor expansion of U in K 128.798 * [backup-simplify]: Simplify U into U 128.798 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.798 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 128.798 * [backup-simplify]: Simplify (* U U) into (pow U 2) 128.798 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 128.798 * [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))) 128.798 * [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)))) 128.798 * [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))))) 128.798 * [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)))))) 128.799 * [backup-simplify]: Simplify (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 128.799 * [backup-simplify]: Simplify (exp (* 1/6 (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))))) 1/6) 128.799 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) in U 128.799 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 128.799 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 128.799 * [taylor]: Taking taylor expansion of 1/6 in U 128.799 * [backup-simplify]: Simplify 1/6 into 1/6 128.799 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 128.799 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 128.799 * [taylor]: Taking taylor expansion of 1 in U 128.799 * [backup-simplify]: Simplify 1 into 1 128.799 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 128.799 * [taylor]: Taking taylor expansion of 1/4 in U 128.799 * [backup-simplify]: Simplify 1/4 into 1/4 128.799 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 128.799 * [taylor]: Taking taylor expansion of (pow J 2) in U 128.799 * [taylor]: Taking taylor expansion of J in U 128.799 * [backup-simplify]: Simplify J into J 128.799 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 128.799 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 128.799 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 128.799 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 128.799 * [taylor]: Taking taylor expansion of -1/2 in U 128.799 * [backup-simplify]: Simplify -1/2 into -1/2 128.799 * [taylor]: Taking taylor expansion of K in U 128.799 * [backup-simplify]: Simplify K into K 128.799 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 128.799 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 128.799 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 128.800 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 128.800 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 128.800 * [backup-simplify]: Simplify (- 0) into 0 128.800 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 128.800 * [taylor]: Taking taylor expansion of (pow U 2) in U 128.800 * [taylor]: Taking taylor expansion of U in U 128.800 * [backup-simplify]: Simplify 0 into 0 128.800 * [backup-simplify]: Simplify 1 into 1 128.800 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.800 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 128.800 * [backup-simplify]: Simplify (* 1 1) into 1 128.800 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 128.801 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 128.801 * [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))) 128.801 * [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))) 128.801 * [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)))) 128.801 * [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))) 128.802 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 128.802 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 128.802 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) in U 128.802 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 128.802 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 128.802 * [taylor]: Taking taylor expansion of 1/6 in U 128.802 * [backup-simplify]: Simplify 1/6 into 1/6 128.802 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 128.802 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 128.802 * [taylor]: Taking taylor expansion of 1 in U 128.802 * [backup-simplify]: Simplify 1 into 1 128.802 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 128.802 * [taylor]: Taking taylor expansion of 1/4 in U 128.802 * [backup-simplify]: Simplify 1/4 into 1/4 128.802 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 128.802 * [taylor]: Taking taylor expansion of (pow J 2) in U 128.802 * [taylor]: Taking taylor expansion of J in U 128.802 * [backup-simplify]: Simplify J into J 128.802 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 128.802 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 128.802 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 128.802 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 128.802 * [taylor]: Taking taylor expansion of -1/2 in U 128.802 * [backup-simplify]: Simplify -1/2 into -1/2 128.802 * [taylor]: Taking taylor expansion of K in U 128.802 * [backup-simplify]: Simplify K into K 128.802 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 128.802 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 128.802 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 128.802 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 128.802 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 128.803 * [backup-simplify]: Simplify (- 0) into 0 128.803 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 128.803 * [taylor]: Taking taylor expansion of (pow U 2) in U 128.803 * [taylor]: Taking taylor expansion of U in U 128.803 * [backup-simplify]: Simplify 0 into 0 128.803 * [backup-simplify]: Simplify 1 into 1 128.803 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.803 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 128.803 * [backup-simplify]: Simplify (* 1 1) into 1 128.803 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 128.803 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 128.803 * [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))) 128.804 * [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))) 128.804 * [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)))) 128.804 * [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))) 128.804 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 128.805 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 128.805 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 128.805 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 128.805 * [taylor]: Taking taylor expansion of 1/6 in K 128.805 * [backup-simplify]: Simplify 1/6 into 1/6 128.805 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 128.805 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in K 128.805 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 128.805 * [taylor]: Taking taylor expansion of 1/4 in K 128.805 * [backup-simplify]: Simplify 1/4 into 1/4 128.805 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 128.805 * [taylor]: Taking taylor expansion of (pow J 2) in K 128.805 * [taylor]: Taking taylor expansion of J in K 128.805 * [backup-simplify]: Simplify J into J 128.805 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 128.805 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 128.805 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 128.805 * [taylor]: Taking taylor expansion of -1/2 in K 128.805 * [backup-simplify]: Simplify -1/2 into -1/2 128.805 * [taylor]: Taking taylor expansion of K in K 128.805 * [backup-simplify]: Simplify 0 into 0 128.805 * [backup-simplify]: Simplify 1 into 1 128.805 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 128.805 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 128.806 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.806 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 128.806 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 128.806 * [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))) 128.806 * [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)))) 128.806 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 128.806 * [taylor]: Taking taylor expansion of 2 in K 128.806 * [backup-simplify]: Simplify 2 into 2 128.806 * [taylor]: Taking taylor expansion of (log U) in K 128.806 * [taylor]: Taking taylor expansion of U in K 128.806 * [backup-simplify]: Simplify U into U 128.806 * [backup-simplify]: Simplify (log U) into (log U) 128.806 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 128.806 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 128.807 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 128.807 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 128.807 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 128.807 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 128.807 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 128.807 * [taylor]: Taking taylor expansion of 1/6 in J 128.807 * [backup-simplify]: Simplify 1/6 into 1/6 128.807 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 128.807 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 128.807 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 128.807 * [taylor]: Taking taylor expansion of 1/4 in J 128.808 * [backup-simplify]: Simplify 1/4 into 1/4 128.808 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 128.808 * [taylor]: Taking taylor expansion of (pow J 2) in J 128.808 * [taylor]: Taking taylor expansion of J in J 128.808 * [backup-simplify]: Simplify 0 into 0 128.808 * [backup-simplify]: Simplify 1 into 1 128.808 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 128.808 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 128.808 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 128.808 * [taylor]: Taking taylor expansion of -1/2 in J 128.808 * [backup-simplify]: Simplify -1/2 into -1/2 128.808 * [taylor]: Taking taylor expansion of K in J 128.808 * [backup-simplify]: Simplify K into K 128.808 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 128.808 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 128.808 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 128.808 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 128.808 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 128.809 * [backup-simplify]: Simplify (- 0) into 0 128.809 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 128.809 * [backup-simplify]: Simplify (* 1 1) into 1 128.809 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 128.809 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 128.809 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 128.810 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 128.810 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 128.810 * [taylor]: Taking taylor expansion of 2 in J 128.810 * [backup-simplify]: Simplify 2 into 2 128.810 * [taylor]: Taking taylor expansion of (log U) in J 128.810 * [taylor]: Taking taylor expansion of U in J 128.810 * [backup-simplify]: Simplify U into U 128.810 * [backup-simplify]: Simplify (log U) into (log U) 128.810 * [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)))) 128.811 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 128.811 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 128.811 * [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))) 128.811 * [backup-simplify]: Simplify (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 128.812 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 128.812 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 128.812 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 128.813 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 128.813 * [backup-simplify]: Simplify (+ 0) into 0 128.814 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 128.814 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 128.815 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 128.815 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 128.815 * [backup-simplify]: Simplify (- 0) into 0 128.816 * [backup-simplify]: Simplify (+ 0 0) into 0 128.816 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 128.817 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 128.817 * [backup-simplify]: 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 0 128.818 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 128.818 * [backup-simplify]: Simplify (+ 0 0) into 0 128.819 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 128.820 * [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))) 128.821 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 128.822 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 128.822 * [taylor]: Taking taylor expansion of 0 in K 128.822 * [backup-simplify]: Simplify 0 into 0 128.822 * [taylor]: Taking taylor expansion of 0 in J 128.822 * [backup-simplify]: Simplify 0 into 0 128.822 * [backup-simplify]: Simplify 0 into 0 128.822 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 128.822 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 128.823 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 128.823 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 128.824 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 128.825 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 128.825 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 128.826 * [backup-simplify]: Simplify (- 0) into 0 128.826 * [backup-simplify]: Simplify (+ 0 0) into 0 128.827 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 128.828 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 128.828 * [taylor]: Taking taylor expansion of 0 in J 128.828 * [backup-simplify]: Simplify 0 into 0 128.828 * [backup-simplify]: Simplify 0 into 0 128.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 128.829 * [backup-simplify]: Simplify (+ 0) into 0 128.830 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 128.830 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 128.831 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 128.831 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 128.831 * [backup-simplify]: Simplify (- 0) into 0 128.832 * [backup-simplify]: Simplify (+ 0 0) into 0 128.832 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 128.832 * [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 0 128.833 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 128.834 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 128.834 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 128.835 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 128.835 * [backup-simplify]: Simplify (- 0) into 0 128.835 * [backup-simplify]: Simplify (+ 0 0) into 0 128.835 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 128.836 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 128.836 * [backup-simplify]: Simplify 0 into 0 128.836 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 128.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 128.838 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 128.838 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 128.838 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 128.839 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 128.839 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 128.839 * [backup-simplify]: Simplify (- 0) into 0 128.839 * [backup-simplify]: Simplify (+ 0 0) into 0 128.840 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 128.840 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 128.840 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 128.841 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 128.841 * [backup-simplify]: Simplify (+ 1 0) into 1 128.843 * [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))) 128.843 * [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))) 128.844 * [backup-simplify]: Simplify (+ (* 1/6 (* 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 (* 2/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 128.845 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 2/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 2/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) 128.845 * [taylor]: Taking taylor expansion of (* 2/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) in K 128.845 * [taylor]: Taking taylor expansion of 2/3 in K 128.845 * [backup-simplify]: Simplify 2/3 into 2/3 128.845 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in K 128.845 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in K 128.845 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 128.845 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 128.845 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 128.845 * [taylor]: Taking taylor expansion of -1/2 in K 128.845 * [backup-simplify]: Simplify -1/2 into -1/2 128.845 * [taylor]: Taking taylor expansion of K in K 128.845 * [backup-simplify]: Simplify 0 into 0 128.845 * [backup-simplify]: Simplify 1 into 1 128.845 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 128.845 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 128.845 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 128.845 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 128.845 * [taylor]: Taking taylor expansion of 1/6 in K 128.845 * [backup-simplify]: Simplify 1/6 into 1/6 128.845 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 128.845 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in K 128.845 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 128.845 * [taylor]: Taking taylor expansion of 1/4 in K 128.845 * [backup-simplify]: Simplify 1/4 into 1/4 128.845 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 128.845 * [taylor]: Taking taylor expansion of (pow J 2) in K 128.845 * [taylor]: Taking taylor expansion of J in K 128.845 * [backup-simplify]: Simplify J into J 128.845 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 128.845 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 128.845 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 128.845 * [taylor]: Taking taylor expansion of -1/2 in K 128.845 * [backup-simplify]: Simplify -1/2 into -1/2 128.845 * [taylor]: Taking taylor expansion of K in K 128.846 * [backup-simplify]: Simplify 0 into 0 128.846 * [backup-simplify]: Simplify 1 into 1 128.846 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 128.846 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 128.846 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.846 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 128.846 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 128.846 * [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))) 128.846 * [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)))) 128.846 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 128.846 * [taylor]: Taking taylor expansion of 2 in K 128.846 * [backup-simplify]: Simplify 2 into 2 128.846 * [taylor]: Taking taylor expansion of (log U) in K 128.846 * [taylor]: Taking taylor expansion of U in K 128.846 * [backup-simplify]: Simplify U into U 128.846 * [backup-simplify]: Simplify (log U) into (log U) 128.846 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 128.847 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 128.847 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 128.847 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 128.847 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 128.847 * [taylor]: Taking taylor expansion of (pow J 2) in K 128.847 * [taylor]: Taking taylor expansion of J in K 128.847 * [backup-simplify]: Simplify J into J 128.847 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 128.847 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 128.847 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.848 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) into (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) 128.848 * [backup-simplify]: Simplify (* 2/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) into (* 2/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) 128.848 * [taylor]: Taking taylor expansion of (* 2/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) in J 128.848 * [taylor]: Taking taylor expansion of 2/3 in J 128.848 * [backup-simplify]: Simplify 2/3 into 2/3 128.848 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in J 128.848 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in J 128.848 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 128.848 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 128.848 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 128.848 * [taylor]: Taking taylor expansion of -1/2 in J 128.848 * [backup-simplify]: Simplify -1/2 into -1/2 128.848 * [taylor]: Taking taylor expansion of K in J 128.848 * [backup-simplify]: Simplify K into K 128.848 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 128.848 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 128.848 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 128.848 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 128.848 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 128.849 * [backup-simplify]: Simplify (- 0) into 0 128.849 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 128.849 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 128.849 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 128.849 * [taylor]: Taking taylor expansion of 1/6 in J 128.849 * [backup-simplify]: Simplify 1/6 into 1/6 128.849 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 128.849 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 128.849 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 128.849 * [taylor]: Taking taylor expansion of 1/4 in J 128.849 * [backup-simplify]: Simplify 1/4 into 1/4 128.849 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 128.849 * [taylor]: Taking taylor expansion of (pow J 2) in J 128.849 * [taylor]: Taking taylor expansion of J in J 128.849 * [backup-simplify]: Simplify 0 into 0 128.849 * [backup-simplify]: Simplify 1 into 1 128.849 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 128.849 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 128.849 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 128.849 * [taylor]: Taking taylor expansion of -1/2 in J 128.849 * [backup-simplify]: Simplify -1/2 into -1/2 128.849 * [taylor]: Taking taylor expansion of K in J 128.849 * [backup-simplify]: Simplify K into K 128.849 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 128.849 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 128.849 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 128.849 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 128.849 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 128.850 * [backup-simplify]: Simplify (- 0) into 0 128.850 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 128.850 * [backup-simplify]: Simplify (* 1 1) into 1 128.850 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 128.850 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 128.850 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 128.850 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 128.850 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 128.850 * [taylor]: Taking taylor expansion of 2 in J 128.850 * [backup-simplify]: Simplify 2 into 2 128.850 * [taylor]: Taking taylor expansion of (log U) in J 128.850 * [taylor]: Taking taylor expansion of U in J 128.850 * [backup-simplify]: Simplify U into U 128.850 * [backup-simplify]: Simplify (log U) into (log U) 128.851 * [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)))) 128.851 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 128.851 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 128.851 * [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))) 128.851 * [backup-simplify]: Simplify (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 128.851 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 128.851 * [taylor]: Taking taylor expansion of (pow J 2) in J 128.851 * [taylor]: Taking taylor expansion of J in J 128.851 * [backup-simplify]: Simplify 0 into 0 128.851 * [backup-simplify]: Simplify 1 into 1 128.852 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 128.852 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 128.852 * [backup-simplify]: Simplify (* 1 1) into 1 128.852 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 1) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 128.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 128.853 * [backup-simplify]: Simplify (+ 0) into 0 128.853 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 128.853 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 128.854 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 128.854 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 128.854 * [backup-simplify]: Simplify (- 0) into 0 128.855 * [backup-simplify]: Simplify (+ 0 0) into 0 128.855 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 128.855 * [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 0 128.855 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 128.856 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 128.856 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 128.857 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 128.857 * [backup-simplify]: Simplify (- 0) into 0 128.857 * [backup-simplify]: Simplify (+ 0 0) into 0 128.857 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 128.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 128.862 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 128.863 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 128.863 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 128.863 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 128.863 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 128.864 * [backup-simplify]: Simplify (- 0) into 0 128.864 * [backup-simplify]: Simplify (+ 0 0) into 0 128.864 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 128.865 * [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 0 128.865 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 128.866 * [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 0 128.867 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 128.868 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 128.868 * [backup-simplify]: Simplify (- 0) into 0 128.868 * [backup-simplify]: Simplify (+ 0 0) into 0 128.869 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 128.870 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 128.870 * [backup-simplify]: Simplify (+ 0) into 0 128.870 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 128.870 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 128.871 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 128.871 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 128.871 * [backup-simplify]: Simplify (- 0) into 0 128.871 * [backup-simplify]: Simplify (+ 0 0) into 0 128.872 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 128.872 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 128.873 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 128.873 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 128.873 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 128.874 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 128.874 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 128.874 * [backup-simplify]: Simplify (- 0) into 0 128.874 * [backup-simplify]: Simplify (+ 0 0) into 0 128.875 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 128.875 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))))) into 0 128.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 128.876 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))) into 0 128.876 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 128.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)))) into 0 128.878 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 128.879 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))))) into 0 128.879 * [backup-simplify]: Simplify 0 into 0 128.879 * [taylor]: Taking taylor expansion of 0 in J 128.879 * [backup-simplify]: Simplify 0 into 0 128.879 * [backup-simplify]: Simplify 0 into 0 128.879 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 128.880 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 128.880 * [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 0 128.881 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 128.882 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into 0 128.883 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 128.883 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 128.883 * [backup-simplify]: Simplify (- 0) into 0 128.884 * [backup-simplify]: Simplify (+ 0 0) into 0 128.884 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 128.885 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 128.885 * [taylor]: Taking taylor expansion of 0 in J 128.885 * [backup-simplify]: Simplify 0 into 0 128.885 * [backup-simplify]: Simplify 0 into 0 128.886 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log (/ 1 (- J)))) (log (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)))) (* 2 (log (/ 1 (- U))))))) into (exp (* 1/6 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 128.886 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 128.886 * [backup-simplify]: Simplify (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) 128.886 * [approximate]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in (U K J) around 0 128.886 * [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 128.886 * [taylor]: Taking taylor expansion of -2 in J 128.886 * [backup-simplify]: Simplify -2 into -2 128.886 * [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 128.886 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 128.886 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 128.886 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 128.886 * [taylor]: Taking taylor expansion of 1/2 in J 128.886 * [backup-simplify]: Simplify 1/2 into 1/2 128.886 * [taylor]: Taking taylor expansion of K in J 128.886 * [backup-simplify]: Simplify K into K 128.886 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 128.886 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 128.886 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 128.886 * [taylor]: Taking taylor expansion of J in J 128.886 * [backup-simplify]: Simplify 0 into 0 128.886 * [backup-simplify]: Simplify 1 into 1 128.886 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 128.886 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 128.886 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 128.886 * [taylor]: Taking taylor expansion of 1/4 in J 128.886 * [backup-simplify]: Simplify 1/4 into 1/4 128.886 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 128.886 * [taylor]: Taking taylor expansion of (pow U 2) in J 128.886 * [taylor]: Taking taylor expansion of U in J 128.886 * [backup-simplify]: Simplify U into U 128.887 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 128.887 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 128.887 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 128.887 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 128.887 * [taylor]: Taking taylor expansion of 1/2 in J 128.887 * [backup-simplify]: Simplify 1/2 into 1/2 128.887 * [taylor]: Taking taylor expansion of K in J 128.887 * [backup-simplify]: Simplify K into K 128.887 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 128.887 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 128.887 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 128.887 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 128.887 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 128.887 * [backup-simplify]: Simplify (- 0) into 0 128.887 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 128.887 * [taylor]: Taking taylor expansion of (pow J 2) in J 128.887 * [taylor]: Taking taylor expansion of J in J 128.887 * [backup-simplify]: Simplify 0 into 0 128.887 * [backup-simplify]: Simplify 1 into 1 128.887 * [backup-simplify]: Simplify (* U U) into (pow U 2) 128.887 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 128.888 * [backup-simplify]: Simplify (* 1 1) into 1 128.888 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 128.888 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 128.888 * [taylor]: Taking taylor expansion of 1 in J 128.888 * [backup-simplify]: Simplify 1 into 1 128.888 * [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))) 128.888 * [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))) 128.888 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 128.888 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 128.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 128.889 * [backup-simplify]: Simplify (+ 0) into 0 128.889 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 128.890 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 128.890 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 128.890 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 128.891 * [backup-simplify]: Simplify (- 0) into 0 128.891 * [backup-simplify]: Simplify (+ 0 0) into 0 128.891 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 128.891 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 128.891 * [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 0 128.892 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 128.892 * [backup-simplify]: Simplify (+ 0 0) into 0 128.892 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 128.892 * [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 128.893 * [taylor]: Taking taylor expansion of -2 in K 128.893 * [backup-simplify]: Simplify -2 into -2 128.893 * [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 128.893 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 128.893 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 128.893 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 128.893 * [taylor]: Taking taylor expansion of 1/2 in K 128.893 * [backup-simplify]: Simplify 1/2 into 1/2 128.893 * [taylor]: Taking taylor expansion of K in K 128.893 * [backup-simplify]: Simplify 0 into 0 128.893 * [backup-simplify]: Simplify 1 into 1 128.893 * [backup-simplify]: Simplify (* 1/2 0) into 0 128.893 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 128.893 * [taylor]: Taking taylor expansion of J in K 128.893 * [backup-simplify]: Simplify J into J 128.893 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 128.893 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 128.893 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 128.893 * [taylor]: Taking taylor expansion of 1/4 in K 128.894 * [backup-simplify]: Simplify 1/4 into 1/4 128.894 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 128.894 * [taylor]: Taking taylor expansion of (pow U 2) in K 128.894 * [taylor]: Taking taylor expansion of U in K 128.894 * [backup-simplify]: Simplify U into U 128.894 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 128.894 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 128.894 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 128.894 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 128.894 * [taylor]: Taking taylor expansion of 1/2 in K 128.894 * [backup-simplify]: Simplify 1/2 into 1/2 128.894 * [taylor]: Taking taylor expansion of K in K 128.894 * [backup-simplify]: Simplify 0 into 0 128.894 * [backup-simplify]: Simplify 1 into 1 128.894 * [backup-simplify]: Simplify (* 1/2 0) into 0 128.894 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 128.894 * [taylor]: Taking taylor expansion of (pow J 2) in K 128.894 * [taylor]: Taking taylor expansion of J in K 128.894 * [backup-simplify]: Simplify J into J 128.895 * [backup-simplify]: Simplify (* U U) into (pow U 2) 128.895 * [backup-simplify]: Simplify (* 1 1) into 1 128.895 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.895 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 128.895 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 128.895 * [taylor]: Taking taylor expansion of 1 in K 128.895 * [backup-simplify]: Simplify 1 into 1 128.895 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 128.895 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 128.895 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 128.895 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 128.895 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 128.896 * [backup-simplify]: Simplify (+ 0) into 0 128.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 128.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 128.897 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 128.897 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 128.897 * [backup-simplify]: Simplify (+ 0 0) into 0 128.898 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 128.898 * [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 128.898 * [taylor]: Taking taylor expansion of -2 in U 128.898 * [backup-simplify]: Simplify -2 into -2 128.898 * [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 128.898 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 128.898 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 128.898 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 128.898 * [taylor]: Taking taylor expansion of 1/2 in U 128.898 * [backup-simplify]: Simplify 1/2 into 1/2 128.898 * [taylor]: Taking taylor expansion of K in U 128.898 * [backup-simplify]: Simplify K into K 128.898 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 128.898 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 128.898 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 128.898 * [taylor]: Taking taylor expansion of J in U 128.898 * [backup-simplify]: Simplify J into J 128.898 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 128.898 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 128.898 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 128.898 * [taylor]: Taking taylor expansion of 1/4 in U 128.898 * [backup-simplify]: Simplify 1/4 into 1/4 128.898 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 128.898 * [taylor]: Taking taylor expansion of (pow U 2) in U 128.898 * [taylor]: Taking taylor expansion of U in U 128.898 * [backup-simplify]: Simplify 0 into 0 128.898 * [backup-simplify]: Simplify 1 into 1 128.898 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 128.898 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 128.898 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 128.898 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 128.898 * [taylor]: Taking taylor expansion of 1/2 in U 128.898 * [backup-simplify]: Simplify 1/2 into 1/2 128.898 * [taylor]: Taking taylor expansion of K in U 128.898 * [backup-simplify]: Simplify K into K 128.898 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 128.898 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 128.899 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 128.899 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 128.899 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 128.899 * [backup-simplify]: Simplify (- 0) into 0 128.899 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 128.899 * [taylor]: Taking taylor expansion of (pow J 2) in U 128.899 * [taylor]: Taking taylor expansion of J in U 128.899 * [backup-simplify]: Simplify J into J 128.900 * [backup-simplify]: Simplify (* 1 1) into 1 128.900 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 128.900 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.900 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 128.900 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 128.900 * [taylor]: Taking taylor expansion of 1 in U 128.900 * [backup-simplify]: Simplify 1 into 1 128.901 * [backup-simplify]: Simplify (+ 0 1) into 1 128.901 * [backup-simplify]: Simplify (sqrt 1) into 1 128.901 * [backup-simplify]: Simplify (+ 0 0) into 0 128.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 128.902 * [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 128.902 * [taylor]: Taking taylor expansion of -2 in U 128.902 * [backup-simplify]: Simplify -2 into -2 128.902 * [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 128.902 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 128.902 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 128.902 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 128.902 * [taylor]: Taking taylor expansion of 1/2 in U 128.902 * [backup-simplify]: Simplify 1/2 into 1/2 128.902 * [taylor]: Taking taylor expansion of K in U 128.902 * [backup-simplify]: Simplify K into K 128.902 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 128.903 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 128.903 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 128.903 * [taylor]: Taking taylor expansion of J in U 128.903 * [backup-simplify]: Simplify J into J 128.903 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 128.903 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 128.903 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 128.903 * [taylor]: Taking taylor expansion of 1/4 in U 128.903 * [backup-simplify]: Simplify 1/4 into 1/4 128.903 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 128.903 * [taylor]: Taking taylor expansion of (pow U 2) in U 128.903 * [taylor]: Taking taylor expansion of U in U 128.903 * [backup-simplify]: Simplify 0 into 0 128.903 * [backup-simplify]: Simplify 1 into 1 128.903 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 128.903 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 128.903 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 128.903 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 128.903 * [taylor]: Taking taylor expansion of 1/2 in U 128.903 * [backup-simplify]: Simplify 1/2 into 1/2 128.903 * [taylor]: Taking taylor expansion of K in U 128.903 * [backup-simplify]: Simplify K into K 128.903 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 128.903 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 128.903 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 128.903 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 128.904 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 128.904 * [backup-simplify]: Simplify (- 0) into 0 128.904 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 128.904 * [taylor]: Taking taylor expansion of (pow J 2) in U 128.904 * [taylor]: Taking taylor expansion of J in U 128.904 * [backup-simplify]: Simplify J into J 128.905 * [backup-simplify]: Simplify (* 1 1) into 1 128.905 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 128.905 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.905 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 128.905 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 128.905 * [taylor]: Taking taylor expansion of 1 in U 128.905 * [backup-simplify]: Simplify 1 into 1 128.906 * [backup-simplify]: Simplify (+ 0 1) into 1 128.906 * [backup-simplify]: Simplify (sqrt 1) into 1 128.906 * [backup-simplify]: Simplify (+ 0 0) into 0 128.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 128.907 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 128.907 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 128.908 * [backup-simplify]: Simplify (- 0) into 0 128.908 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 128.908 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 128.908 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J) 128.908 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 128.908 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 128.908 * [taylor]: Taking taylor expansion of -2 in K 128.908 * [backup-simplify]: Simplify -2 into -2 128.908 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 128.908 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 128.908 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 128.908 * [taylor]: Taking taylor expansion of 1/2 in K 128.908 * [backup-simplify]: Simplify 1/2 into 1/2 128.908 * [taylor]: Taking taylor expansion of K in K 128.909 * [backup-simplify]: Simplify 0 into 0 128.909 * [backup-simplify]: Simplify 1 into 1 128.909 * [backup-simplify]: Simplify (* 1/2 0) into 0 128.910 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 128.910 * [taylor]: Taking taylor expansion of J in K 128.910 * [backup-simplify]: Simplify J into J 128.910 * [backup-simplify]: Simplify (* 1 J) into J 128.910 * [backup-simplify]: Simplify (* -2 J) into (* -2 J) 128.910 * [taylor]: Taking taylor expansion of (* -2 J) in J 128.910 * [taylor]: Taking taylor expansion of -2 in J 128.910 * [backup-simplify]: Simplify -2 into -2 128.910 * [taylor]: Taking taylor expansion of J in J 128.910 * [backup-simplify]: Simplify 0 into 0 128.910 * [backup-simplify]: Simplify 1 into 1 128.911 * [backup-simplify]: Simplify (+ 0) into 0 128.911 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 128.912 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 128.912 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 128.913 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 128.913 * [backup-simplify]: Simplify (- 0) into 0 128.914 * [backup-simplify]: Simplify (+ 0 0) into 0 128.914 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 128.914 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0 128.915 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 128.915 * [taylor]: Taking taylor expansion of 0 in K 128.915 * [backup-simplify]: Simplify 0 into 0 128.915 * [taylor]: Taking taylor expansion of 0 in J 128.915 * [backup-simplify]: Simplify 0 into 0 128.915 * [backup-simplify]: Simplify (+ 0) into 0 128.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 128.916 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0 128.916 * [taylor]: Taking taylor expansion of 0 in J 128.916 * [backup-simplify]: Simplify 0 into 0 128.917 * [backup-simplify]: Simplify (* -2 0) into 0 128.917 * [backup-simplify]: Simplify 0 into 0 128.917 * [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))) 128.917 * [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)))) 128.919 * [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))) 128.920 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 128.920 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 128.921 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 128.922 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 128.923 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 128.923 * [backup-simplify]: Simplify (- 0) into 0 128.923 * [backup-simplify]: Simplify (+ 0 0) into 0 128.924 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 128.925 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (* 1/2 K)) J))) 128.925 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J)))) into (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) 128.925 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in K 128.925 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in K 128.925 * [taylor]: Taking taylor expansion of 1/4 in K 128.925 * [backup-simplify]: Simplify 1/4 into 1/4 128.925 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in K 128.925 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 128.925 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 128.925 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 128.925 * [taylor]: Taking taylor expansion of 1/2 in K 128.925 * [backup-simplify]: Simplify 1/2 into 1/2 128.925 * [taylor]: Taking taylor expansion of K in K 128.926 * [backup-simplify]: Simplify 0 into 0 128.926 * [backup-simplify]: Simplify 1 into 1 128.926 * [backup-simplify]: Simplify (* 1/2 0) into 0 128.927 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 128.927 * [taylor]: Taking taylor expansion of J in K 128.927 * [backup-simplify]: Simplify J into J 128.927 * [backup-simplify]: Simplify (* 1 J) into J 128.927 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J) 128.927 * [backup-simplify]: Simplify (* 1/4 (/ 1 J)) into (/ 1/4 J) 128.927 * [backup-simplify]: Simplify (- (/ 1/4 J)) into (- (* 1/4 (/ 1 J))) 128.927 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 J))) in J 128.927 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 J)) in J 128.927 * [taylor]: Taking taylor expansion of 1/4 in J 128.927 * [backup-simplify]: Simplify 1/4 into 1/4 128.927 * [taylor]: Taking taylor expansion of (/ 1 J) in J 128.927 * [taylor]: Taking taylor expansion of J in J 128.927 * [backup-simplify]: Simplify 0 into 0 128.927 * [backup-simplify]: Simplify 1 into 1 128.928 * [backup-simplify]: Simplify (/ 1 1) into 1 128.928 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 128.928 * [backup-simplify]: Simplify (- 1/4) into -1/4 128.928 * [backup-simplify]: Simplify -1/4 into -1/4 128.928 * [taylor]: Taking taylor expansion of 0 in J 128.929 * [backup-simplify]: Simplify 0 into 0 128.929 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 128.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 128.931 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J) 128.931 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 128.931 * [taylor]: Taking taylor expansion of 1/4 in J 128.931 * [backup-simplify]: Simplify 1/4 into 1/4 128.931 * [taylor]: Taking taylor expansion of J in J 128.931 * [backup-simplify]: Simplify 0 into 0 128.931 * [backup-simplify]: Simplify 1 into 1 128.931 * [backup-simplify]: Simplify 0 into 0 128.931 * [backup-simplify]: Simplify 0 into 0 128.932 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2 128.932 * [backup-simplify]: Simplify -2 into -2 128.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 128.932 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 128.933 * [backup-simplify]: Simplify (+ 0) into 0 128.933 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 128.934 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 128.934 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 128.935 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 128.935 * [backup-simplify]: Simplify (- 0) into 0 128.936 * [backup-simplify]: Simplify (+ 0 0) into 0 128.936 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 128.936 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 128.936 * [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 0 128.937 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 128.937 * [backup-simplify]: Simplify (+ 0 0) into 0 128.938 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 128.939 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 128.940 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 128.941 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 128.942 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 128.943 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 128.943 * [backup-simplify]: Simplify (- 0) into 0 128.944 * [backup-simplify]: Simplify (+ 0 0) into 0 128.944 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 128.945 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (+ (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 1)))) into 0 128.946 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 128.946 * [taylor]: Taking taylor expansion of 0 in K 128.946 * [backup-simplify]: Simplify 0 into 0 128.946 * [taylor]: Taking taylor expansion of 0 in J 128.946 * [backup-simplify]: Simplify 0 into 0 128.947 * [backup-simplify]: Simplify (+ 0) into 0 128.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 128.947 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 128.948 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 J))) into 0 128.948 * [backup-simplify]: Simplify (- 0) into 0 128.948 * [taylor]: Taking taylor expansion of 0 in J 128.948 * [backup-simplify]: Simplify 0 into 0 128.948 * [taylor]: Taking taylor expansion of 0 in J 128.948 * [backup-simplify]: Simplify 0 into 0 128.949 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 128.950 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 128.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 128.952 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 128.952 * [taylor]: Taking taylor expansion of 0 in J 128.952 * [backup-simplify]: Simplify 0 into 0 128.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 128.954 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 128.954 * [backup-simplify]: Simplify (- 0) into 0 128.954 * [backup-simplify]: Simplify 0 into 0 128.954 * [backup-simplify]: Simplify 0 into 0 128.954 * [backup-simplify]: Simplify (* 1/4 0) into 0 128.955 * [backup-simplify]: Simplify 0 into 0 128.955 * [backup-simplify]: Simplify 0 into 0 128.955 * [backup-simplify]: Simplify 0 into 0 128.956 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 128.956 * [backup-simplify]: Simplify 0 into 0 128.956 * [backup-simplify]: Simplify (+ (* -2 (* J (* 1 1))) (* -1/4 (* (/ 1 J) (* 1 (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 128.957 * [backup-simplify]: Simplify (* (* (* (sqrt (+ (* (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J)))) (/ (/ 1 U) (* 2 (* (cos (/ (/ 1 K) 2)) (/ 1 J))))) 1)) -2) (cos (/ (/ 1 K) 2))) (/ 1 J)) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 128.957 * [approximate]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in (U K J) around 0 128.957 * [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 128.957 * [taylor]: Taking taylor expansion of -2 in J 128.957 * [backup-simplify]: Simplify -2 into -2 128.957 * [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 128.957 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 128.957 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 128.957 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 128.957 * [taylor]: Taking taylor expansion of 1/4 in J 128.957 * [backup-simplify]: Simplify 1/4 into 1/4 128.957 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 128.957 * [taylor]: Taking taylor expansion of (pow J 2) in J 128.957 * [taylor]: Taking taylor expansion of J in J 128.957 * [backup-simplify]: Simplify 0 into 0 128.957 * [backup-simplify]: Simplify 1 into 1 128.957 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 128.957 * [taylor]: Taking taylor expansion of (pow U 2) in J 128.957 * [taylor]: Taking taylor expansion of U in J 128.957 * [backup-simplify]: Simplify U into U 128.957 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 128.958 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 128.958 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 128.958 * [taylor]: Taking taylor expansion of 1/2 in J 128.958 * [backup-simplify]: Simplify 1/2 into 1/2 128.958 * [taylor]: Taking taylor expansion of K in J 128.958 * [backup-simplify]: Simplify K into K 128.958 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 128.958 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 128.958 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 128.958 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 128.958 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 128.958 * [backup-simplify]: Simplify (- 0) into 0 128.959 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 128.959 * [backup-simplify]: Simplify (* 1 1) into 1 128.959 * [backup-simplify]: Simplify (* U U) into (pow U 2) 128.959 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 128.959 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 128.959 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 128.960 * [taylor]: Taking taylor expansion of 1 in J 128.960 * [backup-simplify]: Simplify 1 into 1 128.960 * [backup-simplify]: Simplify (+ 0 1) into 1 128.960 * [backup-simplify]: Simplify (sqrt 1) into 1 128.961 * [backup-simplify]: Simplify (+ 0 0) into 0 128.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 128.961 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 128.961 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 128.961 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 128.961 * [taylor]: Taking taylor expansion of 1/2 in J 128.961 * [backup-simplify]: Simplify 1/2 into 1/2 128.961 * [taylor]: Taking taylor expansion of K in J 128.962 * [backup-simplify]: Simplify K into K 128.962 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 128.962 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 128.962 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 128.962 * [taylor]: Taking taylor expansion of J in J 128.962 * [backup-simplify]: Simplify 0 into 0 128.962 * [backup-simplify]: Simplify 1 into 1 128.962 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 128.962 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 128.962 * [backup-simplify]: Simplify (- 0) into 0 128.962 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 128.962 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 128.963 * [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 128.963 * [taylor]: Taking taylor expansion of -2 in K 128.963 * [backup-simplify]: Simplify -2 into -2 128.963 * [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 128.963 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 128.963 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 128.963 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 128.963 * [taylor]: Taking taylor expansion of 1/4 in K 128.963 * [backup-simplify]: Simplify 1/4 into 1/4 128.963 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 128.963 * [taylor]: Taking taylor expansion of (pow J 2) in K 128.963 * [taylor]: Taking taylor expansion of J in K 128.963 * [backup-simplify]: Simplify J into J 128.963 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 128.963 * [taylor]: Taking taylor expansion of (pow U 2) in K 128.963 * [taylor]: Taking taylor expansion of U in K 128.963 * [backup-simplify]: Simplify U into U 128.963 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 128.963 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 128.963 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 128.963 * [taylor]: Taking taylor expansion of 1/2 in K 128.963 * [backup-simplify]: Simplify 1/2 into 1/2 128.963 * [taylor]: Taking taylor expansion of K in K 128.963 * [backup-simplify]: Simplify 0 into 0 128.963 * [backup-simplify]: Simplify 1 into 1 128.963 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 128.964 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 128.964 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.964 * [backup-simplify]: Simplify (* U U) into (pow U 2) 128.964 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 128.964 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 128.964 * [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))) 128.964 * [taylor]: Taking taylor expansion of 1 in K 128.964 * [backup-simplify]: Simplify 1 into 1 128.964 * [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)))) 128.965 * [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) 128.965 * [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)) 128.965 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 128.965 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 128.965 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 128.966 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 128.966 * [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 0 128.967 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 128.967 * [backup-simplify]: Simplify (+ 0 0) into 0 128.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 128.968 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 128.968 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 128.968 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 128.968 * [taylor]: Taking taylor expansion of 1/2 in K 128.968 * [backup-simplify]: Simplify 1/2 into 1/2 128.968 * [taylor]: Taking taylor expansion of K in K 128.968 * [backup-simplify]: Simplify 0 into 0 128.968 * [backup-simplify]: Simplify 1 into 1 128.968 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 128.969 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 128.969 * [taylor]: Taking taylor expansion of J in K 128.969 * [backup-simplify]: Simplify J into J 128.969 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 128.969 * [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 128.969 * [taylor]: Taking taylor expansion of -2 in U 128.969 * [backup-simplify]: Simplify -2 into -2 128.969 * [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 128.969 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 128.969 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 128.969 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 128.969 * [taylor]: Taking taylor expansion of 1/4 in U 128.969 * [backup-simplify]: Simplify 1/4 into 1/4 128.969 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 128.969 * [taylor]: Taking taylor expansion of (pow J 2) in U 128.969 * [taylor]: Taking taylor expansion of J in U 128.969 * [backup-simplify]: Simplify J into J 128.969 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 128.969 * [taylor]: Taking taylor expansion of (pow U 2) in U 128.969 * [taylor]: Taking taylor expansion of U in U 128.969 * [backup-simplify]: Simplify 0 into 0 128.969 * [backup-simplify]: Simplify 1 into 1 128.969 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 128.969 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 128.969 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 128.969 * [taylor]: Taking taylor expansion of 1/2 in U 128.969 * [backup-simplify]: Simplify 1/2 into 1/2 128.969 * [taylor]: Taking taylor expansion of K in U 128.969 * [backup-simplify]: Simplify K into K 128.969 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 128.969 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 128.970 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 128.970 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 128.970 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 128.970 * [backup-simplify]: Simplify (- 0) into 0 128.970 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 128.970 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.971 * [backup-simplify]: Simplify (* 1 1) into 1 128.971 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 128.971 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 128.971 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 128.971 * [taylor]: Taking taylor expansion of 1 in U 128.971 * [backup-simplify]: Simplify 1 into 1 128.971 * [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))) 128.972 * [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))) 128.972 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 128.972 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 128.972 * [backup-simplify]: Simplify (+ 0) into 0 128.973 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 128.973 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 128.974 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 128.974 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 128.975 * [backup-simplify]: Simplify (- 0) into 0 128.975 * [backup-simplify]: Simplify (+ 0 0) into 0 128.975 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 128.976 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 128.976 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 128.977 * [backup-simplify]: 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 0 128.977 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 128.977 * [backup-simplify]: Simplify (+ 0 0) into 0 128.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 128.978 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 128.978 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 128.978 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 128.978 * [taylor]: Taking taylor expansion of 1/2 in U 128.978 * [backup-simplify]: Simplify 1/2 into 1/2 128.978 * [taylor]: Taking taylor expansion of K in U 128.978 * [backup-simplify]: Simplify K into K 128.978 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 128.978 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 128.978 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 128.978 * [taylor]: Taking taylor expansion of J in U 128.978 * [backup-simplify]: Simplify J into J 128.978 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 128.978 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 128.979 * [backup-simplify]: Simplify (- 0) into 0 128.979 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 128.979 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 128.979 * [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 128.979 * [taylor]: Taking taylor expansion of -2 in U 128.979 * [backup-simplify]: Simplify -2 into -2 128.979 * [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 128.979 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 128.979 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 128.979 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 128.979 * [taylor]: Taking taylor expansion of 1/4 in U 128.979 * [backup-simplify]: Simplify 1/4 into 1/4 128.979 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 128.979 * [taylor]: Taking taylor expansion of (pow J 2) in U 128.979 * [taylor]: Taking taylor expansion of J in U 128.979 * [backup-simplify]: Simplify J into J 128.979 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 128.979 * [taylor]: Taking taylor expansion of (pow U 2) in U 128.979 * [taylor]: Taking taylor expansion of U in U 128.979 * [backup-simplify]: Simplify 0 into 0 128.979 * [backup-simplify]: Simplify 1 into 1 128.979 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 128.979 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 128.979 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 128.979 * [taylor]: Taking taylor expansion of 1/2 in U 128.979 * [backup-simplify]: Simplify 1/2 into 1/2 128.979 * [taylor]: Taking taylor expansion of K in U 128.979 * [backup-simplify]: Simplify K into K 128.979 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 128.979 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 128.980 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 128.980 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 128.980 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 128.980 * [backup-simplify]: Simplify (- 0) into 0 128.980 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 128.980 * [backup-simplify]: Simplify (* J J) into (pow J 2) 128.985 * [backup-simplify]: Simplify (* 1 1) into 1 128.985 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 128.985 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 128.985 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 128.985 * [taylor]: Taking taylor expansion of 1 in U 128.985 * [backup-simplify]: Simplify 1 into 1 128.986 * [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))) 128.986 * [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))) 128.986 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 128.986 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 128.987 * [backup-simplify]: Simplify (+ 0) into 0 128.988 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 128.988 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 128.989 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 128.990 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 128.990 * [backup-simplify]: Simplify (- 0) into 0 128.990 * [backup-simplify]: Simplify (+ 0 0) into 0 128.990 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 128.991 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 128.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 128.992 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 128.993 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 128.993 * [backup-simplify]: Simplify (+ 0 0) into 0 128.993 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 128.993 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 128.993 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 128.993 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 128.993 * [taylor]: Taking taylor expansion of 1/2 in U 128.993 * [backup-simplify]: Simplify 1/2 into 1/2 128.993 * [taylor]: Taking taylor expansion of K in U 128.993 * [backup-simplify]: Simplify K into K 128.993 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 128.994 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 128.994 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 128.994 * [taylor]: Taking taylor expansion of J in U 128.994 * [backup-simplify]: Simplify J into J 128.994 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 128.994 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 128.994 * [backup-simplify]: Simplify (- 0) into 0 128.994 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 128.994 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 128.995 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2 128.995 * [backup-simplify]: Simplify (* -2 1/2) into -1 128.995 * [taylor]: Taking taylor expansion of -1 in K 128.995 * [backup-simplify]: Simplify -1 into -1 128.995 * [taylor]: Taking taylor expansion of -1 in J 128.995 * [backup-simplify]: Simplify -1 into -1 128.996 * [backup-simplify]: Simplify (+ 0) into 0 128.996 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 128.997 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 128.998 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 128.998 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 128.999 * [backup-simplify]: Simplify (- 0) into 0 128.999 * [backup-simplify]: Simplify (+ 0 0) into 0 128.999 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 128.999 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 129.000 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 129.000 * [taylor]: Taking taylor expansion of 0 in K 129.000 * [backup-simplify]: Simplify 0 into 0 129.000 * [taylor]: Taking taylor expansion of 0 in J 129.000 * [backup-simplify]: Simplify 0 into 0 129.000 * [taylor]: Taking taylor expansion of 0 in J 129.000 * [backup-simplify]: Simplify 0 into 0 129.000 * [backup-simplify]: Simplify -1 into -1 129.001 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 129.002 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 129.002 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 129.003 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 129.004 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 129.004 * [backup-simplify]: Simplify (- 0) into 0 129.005 * [backup-simplify]: Simplify (+ 0 0) into 0 129.005 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 129.005 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 129.006 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 129.007 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 129.007 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 129.008 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 129.008 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 129.009 * [backup-simplify]: Simplify (- 0) into 0 129.009 * [backup-simplify]: Simplify (+ 0 0) into 0 129.009 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 129.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 129.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 129.011 * [backup-simplify]: 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 0 129.012 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 129.013 * [backup-simplify]: Simplify (+ 0 1) into 1 129.014 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 129.014 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (/ 1/2 K)) J) (/ (cos (/ 1/2 K)) J)))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 129.015 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 129.015 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in K 129.015 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in K 129.015 * [taylor]: Taking taylor expansion of 2 in K 129.015 * [backup-simplify]: Simplify 2 into 2 129.015 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in K 129.015 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 129.015 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 129.015 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 129.015 * [taylor]: Taking taylor expansion of 1/2 in K 129.015 * [backup-simplify]: Simplify 1/2 into 1/2 129.015 * [taylor]: Taking taylor expansion of K in K 129.015 * [backup-simplify]: Simplify 0 into 0 129.015 * [backup-simplify]: Simplify 1 into 1 129.016 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 129.016 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 129.016 * [taylor]: Taking taylor expansion of (pow J 2) in K 129.016 * [taylor]: Taking taylor expansion of J in K 129.016 * [backup-simplify]: Simplify J into J 129.016 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 129.016 * [backup-simplify]: Simplify (* J J) into (pow J 2) 129.016 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 129.016 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 129.017 * [backup-simplify]: Simplify (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) 129.017 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 129.017 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 129.017 * [taylor]: Taking taylor expansion of 2 in J 129.017 * [backup-simplify]: Simplify 2 into 2 129.017 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 129.017 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 129.017 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 129.017 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 129.017 * [taylor]: Taking taylor expansion of 1/2 in J 129.017 * [backup-simplify]: Simplify 1/2 into 1/2 129.017 * [taylor]: Taking taylor expansion of K in J 129.017 * [backup-simplify]: Simplify K into K 129.017 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 129.017 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 129.017 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 129.017 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 129.017 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 129.018 * [backup-simplify]: Simplify (- 0) into 0 129.018 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 129.018 * [taylor]: Taking taylor expansion of (pow J 2) in J 129.018 * [taylor]: Taking taylor expansion of J in J 129.018 * [backup-simplify]: Simplify 0 into 0 129.018 * [backup-simplify]: Simplify 1 into 1 129.018 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 129.019 * [backup-simplify]: Simplify (* 1 1) into 1 129.019 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 129.019 * [backup-simplify]: Simplify (+ 0) into 0 129.020 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 129.020 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 129.021 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 129.021 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 129.022 * [backup-simplify]: Simplify (- 0) into 0 129.022 * [backup-simplify]: Simplify (+ 0 0) into 0 129.022 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 129.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 129.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 129.024 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 129.025 * [backup-simplify]: Simplify (- 0) into 0 129.025 * [backup-simplify]: Simplify 0 into 0 129.025 * [taylor]: Taking taylor expansion of 0 in J 129.025 * [backup-simplify]: Simplify 0 into 0 129.025 * [taylor]: Taking taylor expansion of 0 in J 129.025 * [backup-simplify]: Simplify 0 into 0 129.025 * [backup-simplify]: Simplify 0 into 0 129.025 * [backup-simplify]: Simplify 0 into 0 129.025 * [backup-simplify]: Simplify 0 into 0 129.026 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 129.027 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 129.027 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 129.028 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 129.029 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 129.029 * [backup-simplify]: Simplify (- 0) into 0 129.030 * [backup-simplify]: Simplify (+ 0 0) into 0 129.030 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 129.031 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 129.031 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 129.032 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 129.032 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 129.034 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 129.034 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 129.035 * [backup-simplify]: Simplify (- 0) into 0 129.035 * [backup-simplify]: Simplify (+ 0 0) into 0 129.036 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 129.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 129.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 129.038 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 129.040 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 129.040 * [backup-simplify]: Simplify (+ 0 0) into 0 129.040 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 129.041 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0 129.042 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 129.042 * [taylor]: Taking taylor expansion of 0 in K 129.042 * [backup-simplify]: Simplify 0 into 0 129.042 * [taylor]: Taking taylor expansion of 0 in J 129.042 * [backup-simplify]: Simplify 0 into 0 129.042 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 129.042 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 129.043 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 129.043 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) into 0 129.043 * [backup-simplify]: Simplify (- 0) into 0 129.044 * [taylor]: Taking taylor expansion of 0 in J 129.044 * [backup-simplify]: Simplify 0 into 0 129.044 * [taylor]: Taking taylor expansion of 0 in J 129.044 * [backup-simplify]: Simplify 0 into 0 129.044 * [taylor]: Taking taylor expansion of 0 in J 129.044 * [backup-simplify]: Simplify 0 into 0 129.044 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 129.045 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 129.045 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 129.046 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 129.047 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 129.047 * [backup-simplify]: Simplify (- 0) into 0 129.047 * [backup-simplify]: Simplify (+ 0 0) into 0 129.048 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 129.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 129.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 129.051 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 129.051 * [backup-simplify]: Simplify (- 0) into 0 129.051 * [backup-simplify]: Simplify 0 into 0 129.051 * [backup-simplify]: Simplify 0 into 0 129.052 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 129.053 * [backup-simplify]: Simplify (* (* (* (sqrt (+ (* (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J))))) (/ (/ 1 (- U)) (* 2 (* (cos (/ (/ 1 (- K)) 2)) (/ 1 (- J)))))) 1)) -2) (cos (/ (/ 1 (- K)) 2))) (/ 1 (- J))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 129.053 * [approximate]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in (U K J) around 0 129.053 * [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 129.053 * [taylor]: Taking taylor expansion of 2 in J 129.053 * [backup-simplify]: Simplify 2 into 2 129.053 * [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 129.053 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 129.053 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 129.053 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 129.053 * [taylor]: Taking taylor expansion of -1/2 in J 129.053 * [backup-simplify]: Simplify -1/2 into -1/2 129.053 * [taylor]: Taking taylor expansion of K in J 129.053 * [backup-simplify]: Simplify K into K 129.053 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 129.053 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 129.053 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 129.053 * [taylor]: Taking taylor expansion of J in J 129.053 * [backup-simplify]: Simplify 0 into 0 129.053 * [backup-simplify]: Simplify 1 into 1 129.053 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 129.053 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 129.054 * [backup-simplify]: Simplify (- 0) into 0 129.054 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 129.054 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 129.054 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 129.054 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 129.054 * [taylor]: Taking taylor expansion of 1 in J 129.054 * [backup-simplify]: Simplify 1 into 1 129.054 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 129.054 * [taylor]: Taking taylor expansion of 1/4 in J 129.054 * [backup-simplify]: Simplify 1/4 into 1/4 129.054 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 129.054 * [taylor]: Taking taylor expansion of (pow J 2) in J 129.055 * [taylor]: Taking taylor expansion of J in J 129.055 * [backup-simplify]: Simplify 0 into 0 129.055 * [backup-simplify]: Simplify 1 into 1 129.055 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 129.055 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 129.055 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 129.055 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 129.055 * [taylor]: Taking taylor expansion of -1/2 in J 129.055 * [backup-simplify]: Simplify -1/2 into -1/2 129.055 * [taylor]: Taking taylor expansion of K in J 129.055 * [backup-simplify]: Simplify K into K 129.055 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 129.055 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 129.055 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 129.055 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 129.055 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 129.056 * [backup-simplify]: Simplify (- 0) into 0 129.056 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 129.056 * [taylor]: Taking taylor expansion of (pow U 2) in J 129.056 * [taylor]: Taking taylor expansion of U in J 129.056 * [backup-simplify]: Simplify U into U 129.056 * [backup-simplify]: Simplify (* 1 1) into 1 129.056 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 129.056 * [backup-simplify]: Simplify (* U U) into (pow U 2) 129.057 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 129.057 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 129.057 * [backup-simplify]: Simplify (+ 1 0) into 1 129.058 * [backup-simplify]: Simplify (sqrt 1) into 1 129.058 * [backup-simplify]: Simplify (+ 0 0) into 0 129.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 129.059 * [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 129.059 * [taylor]: Taking taylor expansion of 2 in K 129.059 * [backup-simplify]: Simplify 2 into 2 129.059 * [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 129.059 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 129.059 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 129.059 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 129.059 * [taylor]: Taking taylor expansion of -1/2 in K 129.059 * [backup-simplify]: Simplify -1/2 into -1/2 129.059 * [taylor]: Taking taylor expansion of K in K 129.059 * [backup-simplify]: Simplify 0 into 0 129.059 * [backup-simplify]: Simplify 1 into 1 129.060 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 129.060 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 129.060 * [taylor]: Taking taylor expansion of J in K 129.060 * [backup-simplify]: Simplify J into J 129.060 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 129.060 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 129.060 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 129.060 * [taylor]: Taking taylor expansion of 1 in K 129.060 * [backup-simplify]: Simplify 1 into 1 129.060 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 129.060 * [taylor]: Taking taylor expansion of 1/4 in K 129.060 * [backup-simplify]: Simplify 1/4 into 1/4 129.060 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 129.060 * [taylor]: Taking taylor expansion of (pow J 2) in K 129.060 * [taylor]: Taking taylor expansion of J in K 129.060 * [backup-simplify]: Simplify J into J 129.060 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 129.060 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 129.060 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 129.060 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 129.060 * [taylor]: Taking taylor expansion of -1/2 in K 129.060 * [backup-simplify]: Simplify -1/2 into -1/2 129.060 * [taylor]: Taking taylor expansion of K in K 129.060 * [backup-simplify]: Simplify 0 into 0 129.061 * [backup-simplify]: Simplify 1 into 1 129.061 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 129.061 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 129.061 * [taylor]: Taking taylor expansion of (pow U 2) in K 129.061 * [taylor]: Taking taylor expansion of U in K 129.061 * [backup-simplify]: Simplify U into U 129.061 * [backup-simplify]: Simplify (* J J) into (pow J 2) 129.061 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 129.061 * [backup-simplify]: Simplify (* U U) into (pow U 2) 129.062 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 129.062 * [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))) 129.062 * [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)))) 129.062 * [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))))) 129.063 * [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)))))) 129.063 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 129.063 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 129.063 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 129.063 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 129.063 * [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 0 129.064 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 129.064 * [backup-simplify]: Simplify (+ 0 0) into 0 129.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 129.065 * [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 129.065 * [taylor]: Taking taylor expansion of 2 in U 129.065 * [backup-simplify]: Simplify 2 into 2 129.065 * [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 129.065 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 129.065 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 129.065 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 129.065 * [taylor]: Taking taylor expansion of -1/2 in U 129.065 * [backup-simplify]: Simplify -1/2 into -1/2 129.065 * [taylor]: Taking taylor expansion of K in U 129.065 * [backup-simplify]: Simplify K into K 129.065 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 129.065 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 129.065 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 129.065 * [taylor]: Taking taylor expansion of J in U 129.065 * [backup-simplify]: Simplify J into J 129.065 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 129.065 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 129.065 * [backup-simplify]: Simplify (- 0) into 0 129.065 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 129.065 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 129.065 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 129.065 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 129.065 * [taylor]: Taking taylor expansion of 1 in U 129.065 * [backup-simplify]: Simplify 1 into 1 129.066 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 129.066 * [taylor]: Taking taylor expansion of 1/4 in U 129.066 * [backup-simplify]: Simplify 1/4 into 1/4 129.066 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 129.066 * [taylor]: Taking taylor expansion of (pow J 2) in U 129.066 * [taylor]: Taking taylor expansion of J in U 129.066 * [backup-simplify]: Simplify J into J 129.066 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 129.066 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 129.066 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 129.066 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 129.066 * [taylor]: Taking taylor expansion of -1/2 in U 129.066 * [backup-simplify]: Simplify -1/2 into -1/2 129.066 * [taylor]: Taking taylor expansion of K in U 129.066 * [backup-simplify]: Simplify K into K 129.066 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 129.066 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 129.066 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 129.066 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 129.066 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 129.066 * [backup-simplify]: Simplify (- 0) into 0 129.066 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 129.066 * [taylor]: Taking taylor expansion of (pow U 2) in U 129.066 * [taylor]: Taking taylor expansion of U in U 129.066 * [backup-simplify]: Simplify 0 into 0 129.066 * [backup-simplify]: Simplify 1 into 1 129.066 * [backup-simplify]: Simplify (* J J) into (pow J 2) 129.066 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 129.067 * [backup-simplify]: Simplify (* 1 1) into 1 129.067 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 129.067 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 129.067 * [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))) 129.067 * [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))) 129.067 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 129.067 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 129.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 129.068 * [backup-simplify]: Simplify (+ 0) into 0 129.068 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 129.069 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 129.069 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 129.069 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 129.070 * [backup-simplify]: Simplify (- 0) into 0 129.070 * [backup-simplify]: Simplify (+ 0 0) into 0 129.070 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 129.070 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 129.071 * [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 0 129.071 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 129.071 * [backup-simplify]: Simplify (+ 0 0) into 0 129.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 129.071 * [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 129.071 * [taylor]: Taking taylor expansion of 2 in U 129.071 * [backup-simplify]: Simplify 2 into 2 129.071 * [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 129.071 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 129.072 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 129.072 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 129.072 * [taylor]: Taking taylor expansion of -1/2 in U 129.072 * [backup-simplify]: Simplify -1/2 into -1/2 129.072 * [taylor]: Taking taylor expansion of K in U 129.072 * [backup-simplify]: Simplify K into K 129.072 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 129.072 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 129.072 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 129.072 * [taylor]: Taking taylor expansion of J in U 129.072 * [backup-simplify]: Simplify J into J 129.072 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 129.072 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 129.073 * [backup-simplify]: Simplify (- 0) into 0 129.073 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 129.073 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 129.073 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 129.073 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 129.073 * [taylor]: Taking taylor expansion of 1 in U 129.073 * [backup-simplify]: Simplify 1 into 1 129.073 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 129.073 * [taylor]: Taking taylor expansion of 1/4 in U 129.073 * [backup-simplify]: Simplify 1/4 into 1/4 129.073 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 129.073 * [taylor]: Taking taylor expansion of (pow J 2) in U 129.073 * [taylor]: Taking taylor expansion of J in U 129.073 * [backup-simplify]: Simplify J into J 129.073 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 129.073 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 129.073 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 129.073 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 129.073 * [taylor]: Taking taylor expansion of -1/2 in U 129.073 * [backup-simplify]: Simplify -1/2 into -1/2 129.073 * [taylor]: Taking taylor expansion of K in U 129.073 * [backup-simplify]: Simplify K into K 129.073 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 129.073 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 129.073 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 129.073 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 129.073 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 129.073 * [backup-simplify]: Simplify (- 0) into 0 129.074 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 129.074 * [taylor]: Taking taylor expansion of (pow U 2) in U 129.074 * [taylor]: Taking taylor expansion of U in U 129.074 * [backup-simplify]: Simplify 0 into 0 129.074 * [backup-simplify]: Simplify 1 into 1 129.074 * [backup-simplify]: Simplify (* J J) into (pow J 2) 129.074 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 129.074 * [backup-simplify]: Simplify (* 1 1) into 1 129.074 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 129.074 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 129.074 * [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))) 129.074 * [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))) 129.075 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 129.075 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 129.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 129.075 * [backup-simplify]: Simplify (+ 0) into 0 129.076 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 129.076 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 129.076 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 129.077 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 129.077 * [backup-simplify]: Simplify (- 0) into 0 129.077 * [backup-simplify]: Simplify (+ 0 0) into 0 129.077 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 129.077 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 129.078 * [backup-simplify]: 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 0 129.078 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 129.078 * [backup-simplify]: Simplify (+ 0 0) into 0 129.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 129.079 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2 129.079 * [backup-simplify]: Simplify (* 2 1/2) into 1 129.079 * [taylor]: Taking taylor expansion of 1 in K 129.079 * [backup-simplify]: Simplify 1 into 1 129.079 * [taylor]: Taking taylor expansion of 1 in J 129.079 * [backup-simplify]: Simplify 1 into 1 129.079 * [backup-simplify]: Simplify (+ 0) into 0 129.080 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 129.080 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 129.080 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 129.081 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 129.081 * [backup-simplify]: Simplify (- 0) into 0 129.081 * [backup-simplify]: Simplify (+ 0 0) into 0 129.081 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 129.081 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 129.082 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 129.082 * [taylor]: Taking taylor expansion of 0 in K 129.082 * [backup-simplify]: Simplify 0 into 0 129.082 * [taylor]: Taking taylor expansion of 0 in J 129.082 * [backup-simplify]: Simplify 0 into 0 129.082 * [taylor]: Taking taylor expansion of 0 in J 129.082 * [backup-simplify]: Simplify 0 into 0 129.082 * [backup-simplify]: Simplify 1 into 1 129.082 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 129.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 129.083 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 129.084 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 129.084 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 129.084 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 129.085 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 129.085 * [backup-simplify]: Simplify (- 0) into 0 129.085 * [backup-simplify]: Simplify (+ 0 0) into 0 129.086 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 129.086 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 129.086 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 129.087 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 129.087 * [backup-simplify]: Simplify (+ 1 0) into 1 129.088 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 129.088 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 129.089 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 129.089 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 129.089 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 129.090 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 129.090 * [backup-simplify]: Simplify (- 0) into 0 129.090 * [backup-simplify]: Simplify (+ 0 0) into 0 129.090 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 129.091 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 129.091 * [backup-simplify]: Simplify (+ (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 129.091 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in K 129.091 * [taylor]: Taking taylor expansion of 2 in K 129.091 * [backup-simplify]: Simplify 2 into 2 129.091 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in K 129.091 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 129.091 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 129.091 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 129.091 * [taylor]: Taking taylor expansion of -1/2 in K 129.091 * [backup-simplify]: Simplify -1/2 into -1/2 129.091 * [taylor]: Taking taylor expansion of K in K 129.091 * [backup-simplify]: Simplify 0 into 0 129.091 * [backup-simplify]: Simplify 1 into 1 129.092 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 129.092 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 129.092 * [taylor]: Taking taylor expansion of (pow J 2) in K 129.092 * [taylor]: Taking taylor expansion of J in K 129.092 * [backup-simplify]: Simplify J into J 129.092 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 129.092 * [backup-simplify]: Simplify (* J J) into (pow J 2) 129.092 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 129.092 * [backup-simplify]: Simplify (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) into (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 129.092 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 129.092 * [taylor]: Taking taylor expansion of 2 in J 129.092 * [backup-simplify]: Simplify 2 into 2 129.092 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 129.092 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 129.092 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 129.092 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 129.092 * [taylor]: Taking taylor expansion of -1/2 in J 129.092 * [backup-simplify]: Simplify -1/2 into -1/2 129.092 * [taylor]: Taking taylor expansion of K in J 129.092 * [backup-simplify]: Simplify K into K 129.092 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 129.092 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 129.092 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 129.093 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 129.093 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 129.093 * [backup-simplify]: Simplify (- 0) into 0 129.093 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 129.093 * [taylor]: Taking taylor expansion of (pow J 2) in J 129.093 * [taylor]: Taking taylor expansion of J in J 129.093 * [backup-simplify]: Simplify 0 into 0 129.093 * [backup-simplify]: Simplify 1 into 1 129.093 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 129.093 * [backup-simplify]: Simplify (* 1 1) into 1 129.093 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 129.094 * [backup-simplify]: Simplify (+ 0) into 0 129.094 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 129.094 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 129.095 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 129.095 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 129.095 * [backup-simplify]: Simplify (- 0) into 0 129.096 * [backup-simplify]: Simplify (+ 0 0) into 0 129.096 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 129.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 129.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 129.098 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 129.098 * [backup-simplify]: Simplify 0 into 0 129.098 * [taylor]: Taking taylor expansion of 0 in J 129.098 * [backup-simplify]: Simplify 0 into 0 129.098 * [taylor]: Taking taylor expansion of 0 in J 129.098 * [backup-simplify]: Simplify 0 into 0 129.098 * [backup-simplify]: Simplify 0 into 0 129.098 * [backup-simplify]: Simplify 0 into 0 129.098 * [backup-simplify]: Simplify 0 into 0 129.099 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 129.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 129.101 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 129.102 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 129.102 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 129.104 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 129.104 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 129.105 * [backup-simplify]: Simplify (- 0) into 0 129.105 * [backup-simplify]: Simplify (+ 0 0) into 0 129.106 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 129.107 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 129.108 * [backup-simplify]: 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 0 129.109 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 129.110 * [backup-simplify]: Simplify (+ 0 0) into 0 129.110 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 129.111 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 129.117 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 129.117 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 129.119 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 129.120 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 129.120 * [backup-simplify]: Simplify (- 0) into 0 129.120 * [backup-simplify]: Simplify (+ 0 0) into 0 129.121 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 129.121 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (+ (* 0 (/ (cos (/ -1/2 K)) J)) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))))) into 0 129.123 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 129.123 * [taylor]: Taking taylor expansion of 0 in K 129.123 * [backup-simplify]: Simplify 0 into 0 129.123 * [taylor]: Taking taylor expansion of 0 in J 129.123 * [backup-simplify]: Simplify 0 into 0 129.123 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 129.123 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 129.123 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 129.124 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) into 0 129.124 * [taylor]: Taking taylor expansion of 0 in J 129.124 * [backup-simplify]: Simplify 0 into 0 129.124 * [taylor]: Taking taylor expansion of 0 in J 129.124 * [backup-simplify]: Simplify 0 into 0 129.124 * [taylor]: Taking taylor expansion of 0 in J 129.124 * [backup-simplify]: Simplify 0 into 0 129.125 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 129.126 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 129.126 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 129.127 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 129.127 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 129.128 * [backup-simplify]: Simplify (- 0) into 0 129.128 * [backup-simplify]: Simplify (+ 0 0) into 0 129.128 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 129.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 129.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 129.132 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 129.132 * [backup-simplify]: Simplify 0 into 0 129.132 * [backup-simplify]: Simplify 0 into 0 129.132 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 129.132 * * * [progress]: simplifying candidates 129.132 * * * * [progress]: [ 1 / 87 ] simplifiying candidate # 129.132 * * * * [progress]: [ 2 / 87 ] simplifiying candidate # 129.132 * * * * [progress]: [ 3 / 87 ] simplifiying candidate # 129.132 * * * * [progress]: [ 4 / 87 ] simplifiying candidate # 129.132 * * * * [progress]: [ 5 / 87 ] simplifiying candidate # 129.133 * [simplify]: Simplifying (cbrt (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) 129.133 * * [simplify]: iters left: 6 (16 enodes) 129.141 * * [simplify]: iters left: 5 (61 enodes) 129.162 * * [simplify]: iters left: 4 (114 enodes) 129.216 * * [simplify]: iters left: 3 (368 enodes) 129.445 * * [simplify]: Extracting #0: cost 1 inf + 0 129.445 * * [simplify]: Extracting #1: cost 3 inf + 0 129.445 * * [simplify]: Extracting #2: cost 5 inf + 0 129.445 * * [simplify]: Extracting #3: cost 7 inf + 0 129.446 * * [simplify]: Extracting #4: cost 9 inf + 0 129.446 * * [simplify]: Extracting #5: cost 12 inf + 0 129.446 * * [simplify]: Extracting #6: cost 128 inf + 1 129.448 * * [simplify]: Extracting #7: cost 241 inf + 254 129.452 * * [simplify]: Extracting #8: cost 204 inf + 3667 129.464 * * [simplify]: Extracting #9: cost 133 inf + 17472 129.488 * * [simplify]: Extracting #10: cost 19 inf + 45703 129.518 * * [simplify]: Extracting #11: cost 0 inf + 50835 129.548 * [simplify]: Simplified to (cbrt (* (cbrt (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (cbrt (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) 129.548 * [simplify]: Simplified (2 2 1 1 1 1 2 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (* (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (* (cbrt (* (cbrt (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (cbrt (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (cbrt (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) -2) (cos (/ K 2))) J)))) 129.549 * * * * [progress]: [ 6 / 87 ] simplifiying candidate # 129.549 * [simplify]: Simplifying (cbrt (sqrt (* (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) 129.550 * * [simplify]: iters left: 6 (16 enodes) 129.554 * * [simplify]: iters left: 5 (62 enodes) 129.565 * * [simplify]: iters left: 4 (115 enodes) 129.609 * * [simplify]: iters left: 3 (369 enodes) 129.901 * * [simplify]: Extracting #0: cost 1 inf + 0 129.902 * * [simplify]: Extracting #1: cost 3 inf + 0 129.902 * * [simplify]: Extracting #2: cost 6 inf + 0 129.902 * * [simplify]: Extracting #3: cost 9 inf + 0 129.902 * * [simplify]: Extracting #4: cost 12 inf + 0 129.902 * * [simplify]: Extracting #5: cost 127 inf + 1 129.903 * * [simplify]: Extracting #6: cost 242 inf + 253 129.905 * * [simplify]: Extracting #7: cost 205 inf + 3585 129.910 * * [simplify]: Extracting #8: cost 116 inf + 23259 129.925 * * [simplify]: Extracting #9: cost 11 inf + 48429 129.959 * * [simplify]: Extracting #10: cost 0 inf + 50613 129.986 * * [simplify]: Extracting #11: cost 0 inf + 50533 130.002 * [simplify]: Simplified to (cbrt (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) 130.002 * [simplify]: Simplified (2 2 1 1 1 1 2 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (* (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (* (cbrt (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (cbrt (sqrt (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) -2) (cos (/ K 2))) J)))) 130.003 * * * * [progress]: [ 7 / 87 ] simplifiying candidate # 130.003 * [simplify]: Simplifying (cbrt (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 130.003 * * [simplify]: iters left: 6 (15 enodes) 130.007 * * [simplify]: iters left: 5 (58 enodes) 130.024 * * [simplify]: iters left: 4 (111 enodes) 130.080 * * [simplify]: iters left: 3 (365 enodes) 130.320 * * [simplify]: Extracting #0: cost 1 inf + 0 130.320 * * [simplify]: Extracting #1: cost 3 inf + 0 130.320 * * [simplify]: Extracting #2: cost 5 inf + 0 130.320 * * [simplify]: Extracting #3: cost 7 inf + 0 130.320 * * [simplify]: Extracting #4: cost 10 inf + 0 130.320 * * [simplify]: Extracting #5: cost 127 inf + 1 130.321 * * [simplify]: Extracting #6: cost 240 inf + 335 130.324 * * [simplify]: Extracting #7: cost 206 inf + 3380 130.334 * * [simplify]: Extracting #8: cost 115 inf + 22518 130.362 * * [simplify]: Extracting #9: cost 6 inf + 48952 130.392 * * [simplify]: Extracting #10: cost 0 inf + 49974 130.426 * * [simplify]: Extracting #11: cost 0 inf + 49971 130.445 * [simplify]: Simplified to (cbrt (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) 130.445 * [simplify]: Simplified (2 2 1 1 1 1 2 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (* (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (* (cbrt (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (cbrt (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) -2) (cos (/ K 2))) J)))) 130.446 * * * * [progress]: [ 8 / 87 ] simplifiying candidate # 130.446 * [simplify]: Simplifying (cbrt (sqrt 1)) 130.446 * * [simplify]: iters left: 2 (3 enodes) 130.450 * * [simplify]: iters left: 1 (11 enodes) 130.451 * * [simplify]: Extracting #0: cost 1 inf + 0 130.451 * * [simplify]: Extracting #1: cost 0 inf + 1 130.451 * [simplify]: Simplified to 1 130.452 * [simplify]: Simplified (2 2 1 1 1 1 2 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (* (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (* 1 (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) -2) (cos (/ K 2))) J)))) 130.452 * * * * [progress]: [ 9 / 87 ] simplifiying candidate # 130.452 * [simplify]: Simplifying (cbrt (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 130.452 * * [simplify]: iters left: 6 (15 enodes) 130.456 * * [simplify]: iters left: 5 (58 enodes) 130.468 * * [simplify]: iters left: 4 (111 enodes) 130.504 * * [simplify]: iters left: 3 (365 enodes) 130.742 * * [simplify]: Extracting #0: cost 1 inf + 0 130.742 * * [simplify]: Extracting #1: cost 3 inf + 0 130.742 * * [simplify]: Extracting #2: cost 5 inf + 0 130.742 * * [simplify]: Extracting #3: cost 7 inf + 0 130.742 * * [simplify]: Extracting #4: cost 10 inf + 0 130.742 * * [simplify]: Extracting #5: cost 127 inf + 1 130.745 * * [simplify]: Extracting #6: cost 240 inf + 335 130.748 * * [simplify]: Extracting #7: cost 206 inf + 3380 130.759 * * [simplify]: Extracting #8: cost 115 inf + 22518 130.787 * * [simplify]: Extracting #9: cost 6 inf + 48952 130.817 * * [simplify]: Extracting #10: cost 0 inf + 49974 130.833 * * [simplify]: Extracting #11: cost 0 inf + 49971 130.855 * [simplify]: Simplified to (cbrt (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) 130.855 * [simplify]: Simplified (2 2 1 1 1 1 2 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (* (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (* (cbrt (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (cbrt (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) -2) (cos (/ K 2))) J)))) 130.856 * * * * [progress]: [ 10 / 87 ] simplifiying candidate # 130.856 * [simplify]: Simplifying (cbrt 1) 130.857 * * [simplify]: iters left: 1 (2 enodes) 130.860 * * [simplify]: Extracting #0: cost 1 inf + 0 130.860 * * [simplify]: Extracting #1: cost 0 inf + 1 130.860 * [simplify]: Simplified to 1 130.860 * [simplify]: Simplified (2 2 1 1 1 1 2 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (* (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (* 1 (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) -2) (cos (/ K 2))) J)))) 130.861 * * * * [progress]: [ 11 / 87 ] simplifiying candidate # 130.861 * [simplify]: Simplifying (cbrt (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3)))) 130.861 * * [simplify]: iters left: 6 (17 enodes) 130.870 * * [simplify]: iters left: 5 (73 enodes) 130.885 * * [simplify]: iters left: 4 (179 enodes) 131.012 * * [simplify]: Extracting #0: cost 1 inf + 0 131.012 * * [simplify]: Extracting #1: cost 3 inf + 0 131.012 * * [simplify]: Extracting #2: cost 5 inf + 0 131.012 * * [simplify]: Extracting #3: cost 8 inf + 0 131.013 * * [simplify]: Extracting #4: cost 107 inf + 1 131.014 * * [simplify]: Extracting #5: cost 312 inf + 218 131.017 * * [simplify]: Extracting #6: cost 343 inf + 1221 131.024 * * [simplify]: Extracting #7: cost 266 inf + 20037 131.062 * * [simplify]: Extracting #8: cost 50 inf + 98060 131.110 * * [simplify]: Extracting #9: cost 2 inf + 112265 131.136 * * [simplify]: Extracting #10: cost 0 inf + 112786 131.175 * [simplify]: Simplified to (cbrt (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))))) 131.175 * [simplify]: Simplified (2 2 1 1 1 1 2 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (* (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (/ (cbrt (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (cbrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) -2) (cos (/ K 2))) J)))) 131.176 * * * * [progress]: [ 12 / 87 ] simplifiying candidate # 131.176 * [simplify]: Simplifying (cbrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1)))) 131.176 * * [simplify]: iters left: 6 (16 enodes) 131.181 * * [simplify]: iters left: 5 (65 enodes) 131.196 * * [simplify]: iters left: 4 (155 enodes) 131.279 * * [simplify]: Extracting #0: cost 1 inf + 0 131.279 * * [simplify]: Extracting #1: cost 3 inf + 0 131.279 * * [simplify]: Extracting #2: cost 5 inf + 0 131.279 * * [simplify]: Extracting #3: cost 11 inf + 0 131.280 * * [simplify]: Extracting #4: cost 107 inf + 2 131.281 * * [simplify]: Extracting #5: cost 302 inf + 6 131.282 * * [simplify]: Extracting #6: cost 294 inf + 1169 131.286 * * [simplify]: Extracting #7: cost 209 inf + 22773 131.306 * * [simplify]: Extracting #8: cost 24 inf + 82122 131.345 * * [simplify]: Extracting #9: cost 0 inf + 90379 131.383 * [simplify]: Simplified to (cbrt (sqrt (- (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1))) 131.383 * [simplify]: Simplified (2 2 1 1 1 1 2 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (* (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (/ (cbrt (sqrt (- (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1))) (cbrt (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) -2) (cos (/ K 2))) J)))) 131.384 * * * * [progress]: [ 13 / 87 ] simplifiying candidate # 131.385 * * * * [progress]: [ 14 / 87 ] simplifiying candidate # 131.385 * * * * [progress]: [ 15 / 87 ] simplifiying candidate # 131.385 * * * * [progress]: [ 16 / 87 ] simplifiying candidate # 131.385 * * * * [progress]: [ 17 / 87 ] simplifiying candidate #real (real->posit16 (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) -2) (cos (/ K 2))) J))))> 131.385 * * * * [progress]: [ 18 / 87 ] simplifiying candidate # 131.385 * * * * [progress]: [ 19 / 87 ] simplifiying candidate # 131.385 * * * * [progress]: [ 20 / 87 ] simplifiying candidate # 131.385 * * * * [progress]: [ 21 / 87 ] simplifiying candidate # 131.386 * * * * [progress]: [ 22 / 87 ] simplifiying candidate # 131.386 * [simplify]: Simplifying (cbrt (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) 131.387 * * [simplify]: iters left: 6 (16 enodes) 131.398 * * [simplify]: iters left: 5 (61 enodes) 131.409 * * [simplify]: iters left: 4 (114 enodes) 131.445 * * [simplify]: iters left: 3 (368 enodes) 131.666 * * [simplify]: Extracting #0: cost 1 inf + 0 131.667 * * [simplify]: Extracting #1: cost 3 inf + 0 131.667 * * [simplify]: Extracting #2: cost 5 inf + 0 131.667 * * [simplify]: Extracting #3: cost 7 inf + 0 131.667 * * [simplify]: Extracting #4: cost 9 inf + 0 131.667 * * [simplify]: Extracting #5: cost 12 inf + 0 131.667 * * [simplify]: Extracting #6: cost 128 inf + 1 131.668 * * [simplify]: Extracting #7: cost 241 inf + 254 131.670 * * [simplify]: Extracting #8: cost 204 inf + 3667 131.674 * * [simplify]: Extracting #9: cost 133 inf + 17472 131.696 * * [simplify]: Extracting #10: cost 19 inf + 45703 131.712 * * [simplify]: Extracting #11: cost 0 inf + 50835 131.733 * [simplify]: Simplified to (cbrt (* (cbrt (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (cbrt (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) 131.733 * [simplify]: Simplified (2 2 1 1 1 1 1 2 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (* (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (cbrt (* (cbrt (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (cbrt (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (cbrt (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)))) 131.734 * * * * [progress]: [ 23 / 87 ] simplifiying candidate # 131.734 * [simplify]: Simplifying (cbrt (sqrt (* (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) 131.734 * * [simplify]: iters left: 6 (16 enodes) 131.741 * * [simplify]: iters left: 5 (62 enodes) 131.751 * * [simplify]: iters left: 4 (115 enodes) 131.795 * * [simplify]: iters left: 3 (369 enodes) 132.043 * * [simplify]: Extracting #0: cost 1 inf + 0 132.043 * * [simplify]: Extracting #1: cost 3 inf + 0 132.043 * * [simplify]: Extracting #2: cost 6 inf + 0 132.043 * * [simplify]: Extracting #3: cost 9 inf + 0 132.043 * * [simplify]: Extracting #4: cost 12 inf + 0 132.044 * * [simplify]: Extracting #5: cost 127 inf + 1 132.046 * * [simplify]: Extracting #6: cost 242 inf + 253 132.049 * * [simplify]: Extracting #7: cost 205 inf + 3585 132.059 * * [simplify]: Extracting #8: cost 116 inf + 23259 132.085 * * [simplify]: Extracting #9: cost 11 inf + 48429 132.117 * * [simplify]: Extracting #10: cost 0 inf + 50613 132.152 * * [simplify]: Extracting #11: cost 0 inf + 50533 132.183 * [simplify]: Simplified to (cbrt (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) 132.183 * [simplify]: Simplified (2 2 1 1 1 1 1 2 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (* (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (cbrt (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (cbrt (sqrt (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)))) 132.184 * * * * [progress]: [ 24 / 87 ] simplifiying candidate # 132.184 * [simplify]: Simplifying (cbrt (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 132.184 * * [simplify]: iters left: 6 (15 enodes) 132.193 * * [simplify]: iters left: 5 (58 enodes) 132.212 * * [simplify]: iters left: 4 (111 enodes) 132.260 * * [simplify]: iters left: 3 (365 enodes) 132.471 * * [simplify]: Extracting #0: cost 1 inf + 0 132.471 * * [simplify]: Extracting #1: cost 3 inf + 0 132.471 * * [simplify]: Extracting #2: cost 5 inf + 0 132.471 * * [simplify]: Extracting #3: cost 7 inf + 0 132.471 * * [simplify]: Extracting #4: cost 10 inf + 0 132.472 * * [simplify]: Extracting #5: cost 127 inf + 1 132.474 * * [simplify]: Extracting #6: cost 240 inf + 335 132.478 * * [simplify]: Extracting #7: cost 206 inf + 3380 132.488 * * [simplify]: Extracting #8: cost 115 inf + 22518 132.516 * * [simplify]: Extracting #9: cost 6 inf + 48952 132.548 * * [simplify]: Extracting #10: cost 0 inf + 49974 132.578 * * [simplify]: Extracting #11: cost 0 inf + 49971 132.612 * [simplify]: Simplified to (cbrt (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) 132.613 * [simplify]: Simplified (2 2 1 1 1 1 1 2 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (* (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (cbrt (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (cbrt (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)))) 132.613 * * * * [progress]: [ 25 / 87 ] simplifiying candidate # 132.614 * [simplify]: Simplifying (cbrt (sqrt 1)) 132.614 * * [simplify]: iters left: 2 (3 enodes) 132.620 * * [simplify]: iters left: 1 (11 enodes) 132.623 * * [simplify]: Extracting #0: cost 1 inf + 0 132.623 * * [simplify]: Extracting #1: cost 0 inf + 1 132.623 * [simplify]: Simplified to 1 132.623 * [simplify]: Simplified (2 2 1 1 1 1 1 2 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (* (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* 1 (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)))) 132.624 * * * * [progress]: [ 26 / 87 ] simplifiying candidate # 132.624 * [simplify]: Simplifying (cbrt (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 132.624 * * [simplify]: iters left: 6 (15 enodes) 132.633 * * [simplify]: iters left: 5 (58 enodes) 132.652 * * [simplify]: iters left: 4 (111 enodes) 132.706 * * [simplify]: iters left: 3 (365 enodes) 132.945 * * [simplify]: Extracting #0: cost 1 inf + 0 132.946 * * [simplify]: Extracting #1: cost 3 inf + 0 132.946 * * [simplify]: Extracting #2: cost 5 inf + 0 132.946 * * [simplify]: Extracting #3: cost 7 inf + 0 132.946 * * [simplify]: Extracting #4: cost 10 inf + 0 132.946 * * [simplify]: Extracting #5: cost 127 inf + 1 132.947 * * [simplify]: Extracting #6: cost 240 inf + 335 132.949 * * [simplify]: Extracting #7: cost 206 inf + 3380 132.958 * * [simplify]: Extracting #8: cost 115 inf + 22518 132.985 * * [simplify]: Extracting #9: cost 6 inf + 48952 133.015 * * [simplify]: Extracting #10: cost 0 inf + 49974 133.031 * * [simplify]: Extracting #11: cost 0 inf + 49971 133.050 * [simplify]: Simplified to (cbrt (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) 133.050 * [simplify]: Simplified (2 2 1 1 1 1 1 2 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (* (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (cbrt (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (cbrt (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)))) 133.051 * * * * [progress]: [ 27 / 87 ] simplifiying candidate # 133.051 * [simplify]: Simplifying (cbrt 1) 133.051 * * [simplify]: iters left: 1 (2 enodes) 133.055 * * [simplify]: Extracting #0: cost 1 inf + 0 133.055 * * [simplify]: Extracting #1: cost 0 inf + 1 133.055 * [simplify]: Simplified to 1 133.055 * [simplify]: Simplified (2 2 1 1 1 1 1 2 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (* (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* 1 (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)))) 133.055 * * * * [progress]: [ 28 / 87 ] simplifiying candidate # 133.056 * [simplify]: Simplifying (cbrt (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3)))) 133.056 * * [simplify]: iters left: 6 (17 enodes) 133.067 * * [simplify]: iters left: 5 (73 enodes) 133.097 * * [simplify]: iters left: 4 (179 enodes) 133.229 * * [simplify]: Extracting #0: cost 1 inf + 0 133.229 * * [simplify]: Extracting #1: cost 3 inf + 0 133.229 * * [simplify]: Extracting #2: cost 5 inf + 0 133.229 * * [simplify]: Extracting #3: cost 8 inf + 0 133.229 * * [simplify]: Extracting #4: cost 107 inf + 1 133.231 * * [simplify]: Extracting #5: cost 312 inf + 218 133.233 * * [simplify]: Extracting #6: cost 343 inf + 1221 133.240 * * [simplify]: Extracting #7: cost 266 inf + 20037 133.274 * * [simplify]: Extracting #8: cost 50 inf + 98060 133.328 * * [simplify]: Extracting #9: cost 2 inf + 112265 133.362 * * [simplify]: Extracting #10: cost 0 inf + 112786 133.400 * [simplify]: Simplified to (cbrt (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))))) 133.400 * [simplify]: Simplified (2 2 1 1 1 1 1 2 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (* (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (/ (cbrt (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (cbrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)))) 133.401 * * * * [progress]: [ 29 / 87 ] simplifiying candidate # 133.402 * [simplify]: Simplifying (cbrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1)))) 133.402 * * [simplify]: iters left: 6 (16 enodes) 133.411 * * [simplify]: iters left: 5 (65 enodes) 133.436 * * [simplify]: iters left: 4 (155 enodes) 133.563 * * [simplify]: Extracting #0: cost 1 inf + 0 133.563 * * [simplify]: Extracting #1: cost 3 inf + 0 133.563 * * [simplify]: Extracting #2: cost 5 inf + 0 133.564 * * [simplify]: Extracting #3: cost 11 inf + 0 133.564 * * [simplify]: Extracting #4: cost 107 inf + 2 133.565 * * [simplify]: Extracting #5: cost 302 inf + 6 133.566 * * [simplify]: Extracting #6: cost 294 inf + 1169 133.573 * * [simplify]: Extracting #7: cost 209 inf + 22773 133.594 * * [simplify]: Extracting #8: cost 24 inf + 82122 133.617 * * [simplify]: Extracting #9: cost 0 inf + 90379 133.656 * [simplify]: Simplified to (cbrt (sqrt (- (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1))) 133.656 * [simplify]: Simplified (2 2 1 1 1 1 1 2 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (* (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (/ (cbrt (sqrt (- (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1))) (cbrt (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)))) 133.657 * * * * [progress]: [ 30 / 87 ] simplifiying candidate # 133.657 * * * * [progress]: [ 31 / 87 ] simplifiying candidate # 133.657 * * * * [progress]: [ 32 / 87 ] simplifiying candidate # 133.657 * * * * [progress]: [ 33 / 87 ] simplifiying candidate # 133.657 * * * * [progress]: [ 34 / 87 ] simplifiying candidate #real (real->posit16 (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J))))> 133.657 * * * * [progress]: [ 35 / 87 ] simplifiying candidate # 133.658 * * * * [progress]: [ 36 / 87 ] simplifiying candidate # 133.658 * * * * [progress]: [ 37 / 87 ] simplifiying candidate # 133.658 * * * * [progress]: [ 38 / 87 ] simplifiying candidate # 133.658 * * * * [progress]: [ 39 / 87 ] simplifiying candidate # 133.658 * [simplify]: Simplifying (cbrt (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) 133.659 * * [simplify]: iters left: 6 (16 enodes) 133.667 * * [simplify]: iters left: 5 (61 enodes) 133.691 * * [simplify]: iters left: 4 (114 enodes) 133.746 * * [simplify]: iters left: 3 (368 enodes) 133.970 * * [simplify]: Extracting #0: cost 1 inf + 0 133.970 * * [simplify]: Extracting #1: cost 3 inf + 0 133.970 * * [simplify]: Extracting #2: cost 5 inf + 0 133.970 * * [simplify]: Extracting #3: cost 7 inf + 0 133.970 * * [simplify]: Extracting #4: cost 9 inf + 0 133.970 * * [simplify]: Extracting #5: cost 12 inf + 0 133.970 * * [simplify]: Extracting #6: cost 128 inf + 1 133.971 * * [simplify]: Extracting #7: cost 241 inf + 254 133.973 * * [simplify]: Extracting #8: cost 204 inf + 3667 133.977 * * [simplify]: Extracting #9: cost 133 inf + 17472 133.990 * * [simplify]: Extracting #10: cost 19 inf + 45703 134.017 * * [simplify]: Extracting #11: cost 0 inf + 50835 134.032 * [simplify]: Simplified to (cbrt (* (cbrt (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (cbrt (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) 134.032 * [simplify]: Simplified (2 2 1 1 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (* (* (* (cbrt (* (cbrt (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (cbrt (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) (cbrt (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)))) 134.033 * * * * [progress]: [ 40 / 87 ] simplifiying candidate # 134.033 * [simplify]: Simplifying (cbrt (sqrt (* (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) 134.033 * * [simplify]: iters left: 6 (16 enodes) 134.038 * * [simplify]: iters left: 5 (62 enodes) 134.059 * * [simplify]: iters left: 4 (115 enodes) 134.087 * * [simplify]: iters left: 3 (369 enodes) 134.312 * * [simplify]: Extracting #0: cost 1 inf + 0 134.312 * * [simplify]: Extracting #1: cost 3 inf + 0 134.312 * * [simplify]: Extracting #2: cost 6 inf + 0 134.312 * * [simplify]: Extracting #3: cost 9 inf + 0 134.312 * * [simplify]: Extracting #4: cost 12 inf + 0 134.312 * * [simplify]: Extracting #5: cost 127 inf + 1 134.314 * * [simplify]: Extracting #6: cost 242 inf + 253 134.316 * * [simplify]: Extracting #7: cost 205 inf + 3585 134.326 * * [simplify]: Extracting #8: cost 116 inf + 23259 134.353 * * [simplify]: Extracting #9: cost 11 inf + 48429 134.385 * * [simplify]: Extracting #10: cost 0 inf + 50613 134.420 * * [simplify]: Extracting #11: cost 0 inf + 50533 134.450 * [simplify]: Simplified to (cbrt (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) 134.450 * [simplify]: Simplified (2 2 1 1 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (* (* (* (cbrt (fabs (cbrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (cbrt (sqrt (cbrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)))) 134.451 * * * * [progress]: [ 41 / 87 ] simplifiying candidate # 134.452 * [simplify]: Simplifying (cbrt (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 134.452 * * [simplify]: iters left: 6 (15 enodes) 134.460 * * [simplify]: iters left: 5 (58 enodes) 134.480 * * [simplify]: iters left: 4 (111 enodes) 134.534 * * [simplify]: iters left: 3 (365 enodes) 134.783 * * [simplify]: Extracting #0: cost 1 inf + 0 134.783 * * [simplify]: Extracting #1: cost 3 inf + 0 134.783 * * [simplify]: Extracting #2: cost 5 inf + 0 134.783 * * [simplify]: Extracting #3: cost 7 inf + 0 134.783 * * [simplify]: Extracting #4: cost 10 inf + 0 134.783 * * [simplify]: Extracting #5: cost 127 inf + 1 134.785 * * [simplify]: Extracting #6: cost 240 inf + 335 134.788 * * [simplify]: Extracting #7: cost 206 inf + 3380 134.796 * * [simplify]: Extracting #8: cost 115 inf + 22518 134.811 * * [simplify]: Extracting #9: cost 6 inf + 48952 134.826 * * [simplify]: Extracting #10: cost 0 inf + 49974 134.857 * * [simplify]: Extracting #11: cost 0 inf + 49971 134.890 * [simplify]: Simplified to (cbrt (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) 134.891 * [simplify]: Simplified (2 2 1 1 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (* (* (* (cbrt (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (cbrt (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)))) 134.891 * * * * [progress]: [ 42 / 87 ] simplifiying candidate # 134.892 * [simplify]: Simplifying (cbrt (sqrt 1)) 134.892 * * [simplify]: iters left: 2 (3 enodes) 134.898 * * [simplify]: iters left: 1 (11 enodes) 134.901 * * [simplify]: Extracting #0: cost 1 inf + 0 134.901 * * [simplify]: Extracting #1: cost 0 inf + 1 134.901 * [simplify]: Simplified to 1 134.901 * [simplify]: Simplified (2 2 1 1 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (* (* (* 1 (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)))) 134.902 * * * * [progress]: [ 43 / 87 ] simplifiying candidate # 134.902 * [simplify]: Simplifying (cbrt (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 134.902 * * [simplify]: iters left: 6 (15 enodes) 134.910 * * [simplify]: iters left: 5 (58 enodes) 134.930 * * [simplify]: iters left: 4 (111 enodes) 134.961 * * [simplify]: iters left: 3 (365 enodes) 135.224 * * [simplify]: Extracting #0: cost 1 inf + 0 135.224 * * [simplify]: Extracting #1: cost 3 inf + 0 135.224 * * [simplify]: Extracting #2: cost 5 inf + 0 135.224 * * [simplify]: Extracting #3: cost 7 inf + 0 135.224 * * [simplify]: Extracting #4: cost 10 inf + 0 135.225 * * [simplify]: Extracting #5: cost 127 inf + 1 135.231 * * [simplify]: Extracting #6: cost 240 inf + 335 135.234 * * [simplify]: Extracting #7: cost 206 inf + 3380 135.244 * * [simplify]: Extracting #8: cost 115 inf + 22518 135.272 * * [simplify]: Extracting #9: cost 6 inf + 48952 135.292 * * [simplify]: Extracting #10: cost 0 inf + 49974 135.308 * * [simplify]: Extracting #11: cost 0 inf + 49971 135.328 * [simplify]: Simplified to (cbrt (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) 135.328 * [simplify]: Simplified (2 2 1 1 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (* (* (* (cbrt (sqrt (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (cbrt (sqrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)))) 135.329 * * * * [progress]: [ 44 / 87 ] simplifiying candidate # 135.329 * [simplify]: Simplifying (cbrt 1) 135.329 * * [simplify]: iters left: 1 (2 enodes) 135.333 * * [simplify]: Extracting #0: cost 1 inf + 0 135.333 * * [simplify]: Extracting #1: cost 0 inf + 1 135.333 * [simplify]: Simplified to 1 135.333 * [simplify]: Simplified (2 2 1 1 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (* (* (* 1 (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)))) 135.333 * * * * [progress]: [ 45 / 87 ] simplifiying candidate # 135.334 * [simplify]: Simplifying (cbrt (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3)))) 135.334 * * [simplify]: iters left: 6 (17 enodes) 135.347 * * [simplify]: iters left: 5 (73 enodes) 135.377 * * [simplify]: iters left: 4 (179 enodes) 135.476 * * [simplify]: Extracting #0: cost 1 inf + 0 135.476 * * [simplify]: Extracting #1: cost 3 inf + 0 135.476 * * [simplify]: Extracting #2: cost 5 inf + 0 135.476 * * [simplify]: Extracting #3: cost 8 inf + 0 135.476 * * [simplify]: Extracting #4: cost 107 inf + 1 135.477 * * [simplify]: Extracting #5: cost 312 inf + 218 135.478 * * [simplify]: Extracting #6: cost 343 inf + 1221 135.482 * * [simplify]: Extracting #7: cost 266 inf + 20037 135.499 * * [simplify]: Extracting #8: cost 50 inf + 98060 135.550 * * [simplify]: Extracting #9: cost 2 inf + 112265 135.582 * * [simplify]: Extracting #10: cost 0 inf + 112786 135.608 * [simplify]: Simplified to (cbrt (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))))) 135.608 * [simplify]: Simplified (2 2 1 1 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (* (* (/ (cbrt (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))))) (cbrt (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)))) 135.609 * * * * [progress]: [ 46 / 87 ] simplifiying candidate # 135.610 * [simplify]: Simplifying (cbrt (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1)))) 135.610 * * [simplify]: iters left: 6 (16 enodes) 135.619 * * [simplify]: iters left: 5 (65 enodes) 135.645 * * [simplify]: iters left: 4 (155 enodes) 135.781 * * [simplify]: Extracting #0: cost 1 inf + 0 135.781 * * [simplify]: Extracting #1: cost 3 inf + 0 135.781 * * [simplify]: Extracting #2: cost 5 inf + 0 135.781 * * [simplify]: Extracting #3: cost 11 inf + 0 135.781 * * [simplify]: Extracting #4: cost 107 inf + 2 135.782 * * [simplify]: Extracting #5: cost 302 inf + 6 135.783 * * [simplify]: Extracting #6: cost 294 inf + 1169 135.787 * * [simplify]: Extracting #7: cost 209 inf + 22773 135.816 * * [simplify]: Extracting #8: cost 24 inf + 82122 135.854 * * [simplify]: Extracting #9: cost 0 inf + 90379 135.885 * [simplify]: Simplified to (cbrt (sqrt (- (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1))) 135.885 * [simplify]: Simplified (2 2 1 1 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (* (* (/ (cbrt (sqrt (- (* (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2)) (* (/ (/ U (* (cos (/ K 2)) J)) 2) (/ (/ U (* (cos (/ K 2)) J)) 2))) 1))) (cbrt (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)))) 135.886 * * * * [progress]: [ 47 / 87 ] simplifiying candidate # 135.886 * * * * [progress]: [ 48 / 87 ] simplifiying candidate # 135.886 * * * * [progress]: [ 49 / 87 ] simplifiying candidate # 135.886 * * * * [progress]: [ 50 / 87 ] simplifiying candidate # 135.886 * * * * [progress]: [ 51 / 87 ] simplifiying candidate #real (real->posit16 (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J))))> 135.886 * * * * [progress]: [ 52 / 87 ] simplifiying candidate # 135.886 * [simplify]: Simplifying (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J) 135.886 * * [simplify]: iters left: 6 (17 enodes) 135.893 * * [simplify]: iters left: 5 (70 enodes) 135.908 * * [simplify]: iters left: 4 (145 enodes) 135.967 * * [simplify]: iters left: 3 (435 enodes) 136.251 * * [simplify]: Extracting #0: cost 1 inf + 0 136.251 * * [simplify]: Extracting #1: cost 16 inf + 0 136.251 * * [simplify]: Extracting #2: cost 28 inf + 2 136.252 * * [simplify]: Extracting #3: cost 33 inf + 44 136.252 * * [simplify]: Extracting #4: cost 142 inf + 89 136.254 * * [simplify]: Extracting #5: cost 238 inf + 3391 136.262 * * [simplify]: Extracting #6: cost 74 inf + 36414 136.280 * * [simplify]: Extracting #7: cost 1 inf + 54199 136.307 * * [simplify]: Extracting #8: cost 0 inf + 54240 136.324 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 (* (cos (/ K 2)) J))) 136.324 * [simplify]: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (pow (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 (* (cos (/ K 2)) J))) 1))) (cbrt (* (* (* (* (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)))) 136.324 * * * * [progress]: [ 53 / 87 ] simplifiying candidate # 136.324 * [simplify]: Simplifying (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J) 136.325 * * [simplify]: iters left: 6 (17 enodes) 136.330 * * [simplify]: iters left: 5 (70 enodes) 136.344 * * [simplify]: iters left: 4 (145 enodes) 136.402 * * [simplify]: iters left: 3 (435 enodes) 136.672 * * [simplify]: Extracting #0: cost 1 inf + 0 136.672 * * [simplify]: Extracting #1: cost 16 inf + 0 136.672 * * [simplify]: Extracting #2: cost 28 inf + 2 136.673 * * [simplify]: Extracting #3: cost 33 inf + 44 136.673 * * [simplify]: Extracting #4: cost 142 inf + 89 136.677 * * [simplify]: Extracting #5: cost 238 inf + 3391 136.688 * * [simplify]: Extracting #6: cost 74 inf + 36414 136.705 * * [simplify]: Extracting #7: cost 1 inf + 54199 136.733 * * [simplify]: Extracting #8: cost 0 inf + 54240 136.751 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 (* (cos (/ K 2)) J))) 136.751 * [simplify]: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (pow (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 (* (cos (/ K 2)) J))) 1))) (cbrt (* (* (* (* (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)))) 136.751 * * * * [progress]: [ 54 / 87 ] simplifiying candidate # 136.751 * [simplify]: Simplifying (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J) 136.752 * * [simplify]: iters left: 6 (17 enodes) 136.759 * * [simplify]: iters left: 5 (70 enodes) 136.781 * * [simplify]: iters left: 4 (145 enodes) 136.822 * * [simplify]: iters left: 3 (435 enodes) 137.125 * * [simplify]: Extracting #0: cost 1 inf + 0 137.125 * * [simplify]: Extracting #1: cost 16 inf + 0 137.125 * * [simplify]: Extracting #2: cost 28 inf + 2 137.125 * * [simplify]: Extracting #3: cost 33 inf + 44 137.126 * * [simplify]: Extracting #4: cost 142 inf + 89 137.129 * * [simplify]: Extracting #5: cost 238 inf + 3391 137.146 * * [simplify]: Extracting #6: cost 74 inf + 36414 137.178 * * [simplify]: Extracting #7: cost 1 inf + 54199 137.212 * * [simplify]: Extracting #8: cost 0 inf + 54240 137.241 * [simplify]: Simplified to (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 (* (cos (/ K 2)) J))) 137.241 * [simplify]: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (pow (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))) (* -2 (* (cos (/ K 2)) J))) 1))) (cbrt (* (* (* (* (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)))) 137.241 * * * * [progress]: [ 55 / 87 ] simplifiying candidate # 137.241 * * * * [progress]: [ 56 / 87 ] simplifiying candidate # 137.241 * [simplify]: Simplifying (+ (+ (+ (log (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (log -2)) (log (cos (/ K 2)))) (log J)) 137.241 * * [simplify]: iters left: 6 (21 enodes) 137.248 * * [simplify]: iters left: 5 (83 enodes) 137.265 * * [simplify]: iters left: 4 (160 enodes) 137.318 * * [simplify]: iters left: 3 (452 enodes) 137.589 * * [simplify]: Extracting #0: cost 1 inf + 0 137.589 * * [simplify]: Extracting #1: cost 16 inf + 0 137.589 * * [simplify]: Extracting #2: cost 34 inf + 0 137.590 * * [simplify]: Extracting #3: cost 35 inf + 73 137.590 * * [simplify]: Extracting #4: cost 36 inf + 650 137.591 * * [simplify]: Extracting #5: cost 148 inf + 653 137.594 * * [simplify]: Extracting #6: cost 240 inf + 4224 137.606 * * [simplify]: Extracting #7: cost 51 inf + 45161 137.624 * * [simplify]: Extracting #8: cost 0 inf + 60020 137.654 * * [simplify]: Extracting #9: cost 0 inf + 59902 137.695 * [simplify]: Simplified to (+ (+ (+ (log J) (log (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (log (cos (/ K 2)))) (log -2)) 137.695 * [simplify]: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (exp (+ (+ (+ (log J) (log (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J)))))) (log (cos (/ K 2)))) (log -2))))) (cbrt (* (* (* (* (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)))) 137.696 * * * * [progress]: [ 57 / 87 ] simplifiying candidate # 137.696 * [simplify]: Simplifying (+ (+ (log (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (log (cos (/ K 2)))) (log J)) 137.696 * * [simplify]: iters left: 6 (20 enodes) 137.707 * * [simplify]: iters left: 5 (81 enodes) 137.735 * * [simplify]: iters left: 4 (153 enodes) 137.780 * * [simplify]: iters left: 3 (439 enodes) 138.100 * * [simplify]: Extracting #0: cost 1 inf + 0 138.100 * * [simplify]: Extracting #1: cost 16 inf + 0 138.100 * * [simplify]: Extracting #2: cost 35 inf + 0 138.100 * * [simplify]: Extracting #3: cost 38 inf + 2 138.101 * * [simplify]: Extracting #4: cost 41 inf + 326 138.102 * * [simplify]: Extracting #5: cost 145 inf + 653 138.105 * * [simplify]: Extracting #6: cost 244 inf + 3656 138.122 * * [simplify]: Extracting #7: cost 77 inf + 37290 138.140 * * [simplify]: Extracting #8: cost 3 inf + 58370 138.506 * * [simplify]: Extracting #9: cost 0 inf + 59855 138.524 * [simplify]: Simplified to (+ (+ (log J) (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))) (log (cos (/ K 2)))) 138.525 * [simplify]: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (exp (+ (+ (log J) (log (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) (cos (/ K 2))) J) (/ (/ (/ U 2) (cos (/ K 2))) J))))))) (log (cos (/ K 2))))))) (cbrt (* (* (* (* (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)))) 138.525 * * * * [progress]: [ 58 / 87 ] simplifiying candidate # 138.525 * [simplify]: Simplifying (+ (log (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2)))) (log J)) 138.525 * * [simplify]: iters left: 6 (19 enodes) 138.531 * * [simplify]: iters left: 5 (78 enodes) 138.549 * * [simplify]: iters left: 4 (154 enodes) 138.602 * * [simplify]: iters left: 3 (439 enodes) 138.878 * * [simplify]: Extracting #0: cost 1 inf + 0 138.878 * * [simplify]: Extracting #1: cost 25 inf + 0 138.879 * * [simplify]: Extracting #2: cost 45 inf + 0 138.879 * * [simplify]: Extracting #3: cost 51 inf + 2 138.879 * * [simplify]: Extracting #4: cost 54 inf + 286 138.880 * * [simplify]: Extracting #5: cost 161 inf + 471 138.884 * * [simplify]: Extracting #6: cost 250 inf + 5584 138.905 * * [simplify]: Extracting #7: cost 59 inf + 46973 138.932 * * [simplify]: Extracting #8: cost 11 inf + 59184 138.952 * * [simplify]: Extracting #9: cost 0 inf + 65218 138.983 * [simplify]: Simplified to (+ (log J) (log (* (* (cos (/ K 2)) -2) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))) 138.983 * [simplify]: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (exp (+ (log J) (log (* (* (cos (/ K 2)) -2) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))))) (cbrt (* (* (* (* (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)))) 138.983 * * * * [progress]: [ 59 / 87 ] simplifiying candidate # 138.983 * * * * [progress]: [ 60 / 87 ] simplifiying candidate # 138.983 * * * * [progress]: [ 61 / 87 ] simplifiying candidate # 138.984 * [simplify]: Simplifying (* (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (* (* -2 -2) -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* J J) J)) 138.984 * * [simplify]: iters left: 6 (25 enodes) 138.991 * * [simplify]: iters left: 5 (106 enodes) 139.021 * * [simplify]: iters left: 4 (294 enodes) 139.219 * * [simplify]: Extracting #0: cost 1 inf + 0 139.220 * * [simplify]: Extracting #1: cost 67 inf + 0 139.221 * * [simplify]: Extracting #2: cost 298 inf + 45 139.224 * * [simplify]: Extracting #3: cost 398 inf + 499 139.234 * * [simplify]: Extracting #4: cost 356 inf + 24063 139.282 * * [simplify]: Extracting #5: cost 102 inf + 115031 139.341 * * [simplify]: Extracting #6: cost 1 inf + 163077 139.405 * * [simplify]: Extracting #7: cost 0 inf + 163502 139.471 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) J) (* (* -8 (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (cos (/ K 2)) (cos (/ K 2))))) (* J J)) 139.471 * [simplify]: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (cbrt (* (* (* (cos (/ K 2)) J) (* (* -8 (* (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2)))) (sqrt (+ 1 (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))))))) (* (cos (/ K 2)) (cos (/ K 2))))) (* J J))))) (cbrt (* (* (* (* (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)))) 139.472 * * * * [progress]: [ 62 / 87 ] simplifiying candidate # 139.472 * [simplify]: Simplifying (* (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* J J) J)) 139.472 * * [simplify]: iters left: 6 (23 enodes) 139.486 * * [simplify]: iters left: 5 (106 enodes) 139.517 * * [simplify]: iters left: 4 (274 enodes) 139.678 * * [simplify]: Extracting #0: cost 1 inf + 0 139.678 * * [simplify]: Extracting #1: cost 52 inf + 0 139.679 * * [simplify]: Extracting #2: cost 236 inf + 2 139.681 * * [simplify]: Extracting #3: cost 253 inf + 300 139.684 * * [simplify]: Extracting #4: cost 277 inf + 4264 139.696 * * [simplify]: Extracting #5: cost 262 inf + 26694 139.747 * * [simplify]: Extracting #6: cost 57 inf + 109963 139.801 * * [simplify]: Extracting #7: cost 0 inf + 132238 139.863 * * [simplify]: Extracting #8: cost 0 inf + 131870 139.912 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* J (* J J))) (* (* (cos (/ K 2)) (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))) (* -8 (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J))))))) 139.913 * [simplify]: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (cbrt (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* J (* J J))) (* (* (cos (/ K 2)) (sqrt (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))) (* -8 (+ 1 (* (/ U (* (* 2 (cos (/ K 2))) J)) (/ U (* (* 2 (cos (/ K 2))) J)))))))))) (cbrt (* (* (* (* (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)))) 139.913 * * * * [progress]: [ 63 / 87 ] simplifiying candidate # 139.914 * [simplify]: Simplifying (* (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2)))) (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2)))) (* (* J J) J)) 139.914 * * [simplify]: iters left: 6 (21 enodes) 139.926 * * [simplify]: iters left: 5 (96 enodes) 139.969 * * [simplify]: iters left: 4 (277 enodes) 140.099 * * [simplify]: Extracting #0: cost 1 inf + 0 140.099 * * [simplify]: Extracting #1: cost 49 inf + 0 140.099 * * [simplify]: Extracting #2: cost 229 inf + 43 140.101 * * [simplify]: Extracting #3: cost 246 inf + 373 140.102 * * [simplify]: Extracting #4: cost 275 inf + 3570 140.112 * * [simplify]: Extracting #5: cost 247 inf + 31854 140.162 * * [simplify]: Extracting #6: cost 56 inf + 108672 140.213 * * [simplify]: Extracting #7: cost 0 inf + 132856 140.259 * * [simplify]: Extracting #8: cost 0 inf + 132816 140.338 * [simplify]: Simplified to (* (* (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) -2)) J) (* (* (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) -2)) J) (* (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) -2)) J))) 140.338 * [simplify]: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (cbrt (* (* (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) -2)) J) (* (* (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) -2)) J) (* (* (sqrt (+ 1 (* (/ U (* (* J 2) (cos (/ K 2)))) (/ U (* (* J 2) (cos (/ K 2))))))) (* (cos (/ K 2)) -2)) J)))))) (cbrt (* (* (* (* (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)))) 140.339 * * * * [progress]: [ 64 / 87 ] simplifiying candidate # 140.339 * * * * [progress]: [ 65 / 87 ] simplifiying candidate # 140.339 * * * * [progress]: [ 66 / 87 ] simplifiying candidate # 140.339 * * * * [progress]: [ 67 / 87 ] simplifiying candidate # 140.339 * * * * [progress]: [ 68 / 87 ] simplifiying candidate # 140.339 * [simplify]: Simplifying (cbrt J) 140.339 * * [simplify]: iters left: 1 (2 enodes) 140.340 * * [simplify]: Extracting #0: cost 1 inf + 0 140.340 * * [simplify]: Extracting #1: cost 3 inf + 0 140.340 * * [simplify]: Extracting #2: cost 2 inf + 1 140.340 * * [simplify]: Extracting #3: cost 0 inf + 163 140.340 * [simplify]: Simplified to (cbrt J) 140.340 * [simplify]: Simplified (2 1 2 1 2) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) (* (cbrt J) (cbrt J))) (cbrt J)))) (cbrt (* (* (* (* (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)))) 140.340 * * * * [progress]: [ 69 / 87 ] simplifiying candidate # 140.340 * [simplify]: Simplifying (sqrt J) 140.340 * * [simplify]: iters left: 1 (2 enodes) 140.341 * * [simplify]: Extracting #0: cost 1 inf + 0 140.341 * * [simplify]: Extracting #1: cost 3 inf + 0 140.341 * * [simplify]: Extracting #2: cost 2 inf + 1 140.341 * * [simplify]: Extracting #3: cost 0 inf + 83 140.341 * [simplify]: Simplified to (sqrt J) 140.341 * [simplify]: Simplified (2 1 2 1 2) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) (sqrt J)) (sqrt J)))) (cbrt (* (* (* (* (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)))) 140.341 * * * * [progress]: [ 70 / 87 ] simplifiying candidate # 140.341 * * * * [progress]: [ 71 / 87 ] simplifiying candidate # 140.341 * [simplify]: Simplifying (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) 140.341 * * [simplify]: iters left: 6 (15 enodes) 140.346 * * [simplify]: iters left: 5 (59 enodes) 140.357 * * [simplify]: iters left: 4 (112 enodes) 140.397 * * [simplify]: iters left: 3 (365 enodes) 140.641 * * [simplify]: Extracting #0: cost 1 inf + 0 140.641 * * [simplify]: Extracting #1: cost 4 inf + 0 140.641 * * [simplify]: Extracting #2: cost 5 inf + 1 140.641 * * [simplify]: Extracting #3: cost 8 inf + 1 140.641 * * [simplify]: Extracting #4: cost 121 inf + 2 140.643 * * [simplify]: Extracting #5: cost 237 inf + 214 140.645 * * [simplify]: Extracting #6: cost 202 inf + 3502 140.649 * * [simplify]: Extracting #7: cost 112 inf + 21265 140.662 * * [simplify]: Extracting #8: cost 11 inf + 45496 140.684 * * [simplify]: Extracting #9: cost 0 inf + 47914 140.709 * * [simplify]: Extracting #10: cost 0 inf + 47913 140.724 * * [simplify]: Extracting #11: cost 0 inf + 47912 140.740 * [simplify]: Simplified to (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 140.740 * [simplify]: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* -2 (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* (cos (/ K 2)) J)))) (cbrt (* (* (* (* (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)))) 140.740 * * * * [progress]: [ 72 / 87 ] simplifiying candidate # 140.740 * [simplify]: Simplifying (* (* (* (sqrt (+ (pow (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 3) (pow 1 3))) -2) (cos (/ K 2))) J) 140.740 * * [simplify]: iters left: 6 (20 enodes) 140.747 * * [simplify]: iters left: 5 (88 enodes) 140.766 * * [simplify]: iters left: 4 (218 enodes) 140.863 * * [simplify]: Extracting #0: cost 1 inf + 0 140.863 * * [simplify]: Extracting #1: cost 17 inf + 0 140.864 * * [simplify]: Extracting #2: cost 29 inf + 2 140.864 * * [simplify]: Extracting #3: cost 33 inf + 86 140.864 * * [simplify]: Extracting #4: cost 126 inf + 89 140.865 * * [simplify]: Extracting #5: cost 327 inf + 1396 140.871 * * [simplify]: Extracting #6: cost 253 inf + 34932 140.891 * * [simplify]: Extracting #7: cost 71 inf + 99693 140.920 * * [simplify]: Extracting #8: cost 0 inf + 125482 140.958 * * [simplify]: Extracting #9: cost 0 inf + 125231 141.010 * * [simplify]: Extracting #10: cost 0 inf + 125151 141.040 * [simplify]: Simplified to (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2))))) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))))) 141.040 * [simplify]: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (/ (* (* (* (cos (/ K 2)) J) -2) (sqrt (+ 1 (* (* (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2))))) (* (/ U (* (cos (/ K 2)) (* J 2))) (/ U (* (cos (/ K 2)) (* J 2)))))))) (sqrt (+ (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (- (* 1 1) (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))))) (cbrt (* (* (* (* (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)))) 141.041 * * * * [progress]: [ 73 / 87 ] simplifiying candidate # 141.041 * [simplify]: Simplifying (* (* (* (sqrt (- (* (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J))))) (* 1 1))) -2) (cos (/ K 2))) J) 141.041 * * [simplify]: iters left: 6 (19 enodes) 141.047 * * [simplify]: iters left: 5 (80 enodes) 141.065 * * [simplify]: iters left: 4 (192 enodes) 141.174 * * [simplify]: Extracting #0: cost 1 inf + 0 141.174 * * [simplify]: Extracting #1: cost 17 inf + 0 141.174 * * [simplify]: Extracting #2: cost 29 inf + 2 141.174 * * [simplify]: Extracting #3: cost 36 inf + 86 141.174 * * [simplify]: Extracting #4: cost 126 inf + 90 141.175 * * [simplify]: Extracting #5: cost 297 inf + 2114 141.184 * * [simplify]: Extracting #6: cost 134 inf + 53340 141.209 * * [simplify]: Extracting #7: cost 4 inf + 93126 141.231 * * [simplify]: Extracting #8: cost 0 inf + 94242 141.258 * * [simplify]: Extracting #9: cost 0 inf + 94164 141.287 * [simplify]: Simplified to (* (* -2 (* (cos (/ K 2)) J)) (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))) 141.287 * [simplify]: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (/ (* (* -2 (* (cos (/ K 2)) J)) (sqrt (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) 1))) (sqrt (- (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))))) (cbrt (* (* (* (* (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)))) 141.288 * * * * [progress]: [ 74 / 87 ] simplifiying candidate #real (real->posit16 (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))))) (cbrt (* (* (* (* (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J))))> 141.288 * * * * [progress]: [ 75 / 87 ] simplifiying candidate # 141.288 * * * * [progress]: [ 76 / 87 ] simplifiying candidate # 141.288 * [simplify]: Simplifying 1 141.288 * * [simplify]: iters left: 0 (1 enodes) 141.289 * * [simplify]: Extracting #0: cost 1 inf + 0 141.289 * * [simplify]: Extracting #1: cost 0 inf + 1 141.289 * [simplify]: Simplified to 1 141.289 * [simplify]: Simplified (2 2 1 1 1 1 2) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (* (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) 1) -2) (cos (/ K 2))) J)))) 141.290 * * * * [progress]: [ 77 / 87 ] simplifiying candidate # 141.290 * [simplify]: Simplifying (exp (* 1/6 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) 141.290 * * [simplify]: iters left: 6 (23 enodes) 141.297 * * [simplify]: iters left: 5 (96 enodes) 141.320 * * [simplify]: iters left: 4 (176 enodes) 141.360 * * [simplify]: iters left: 3 (392 enodes) 141.521 * * [simplify]: Extracting #0: cost 1 inf + 0 141.521 * * [simplify]: Extracting #1: cost 25 inf + 0 141.522 * * [simplify]: Extracting #2: cost 121 inf + 72 141.524 * * [simplify]: Extracting #3: cost 291 inf + 147 141.526 * * [simplify]: Extracting #4: cost 302 inf + 2522 141.532 * * [simplify]: Extracting #5: cost 239 inf + 14646 141.540 * * [simplify]: Extracting #6: cost 175 inf + 30971 141.553 * * [simplify]: Extracting #7: cost 38 inf + 83550 141.574 * * [simplify]: Extracting #8: cost 7 inf + 98710 141.592 * * [simplify]: Extracting #9: cost 0 inf + 104461 141.609 * * [simplify]: Extracting #10: cost 0 inf + 103261 141.641 * [simplify]: Simplified to (exp (* 1/6 (+ (* -2 (- (log J) (log U))) (log (/ 1/4 (* (cos (* 1/2 K)) (cos (* 1/2 K)))))))) 141.641 * [simplify]: Simplified (2 2 1 1 1 1 2) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (* (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (exp (* 1/6 (+ (* -2 (- (log J) (log U))) (log (/ 1/4 (* (cos (* 1/2 K)) (cos (* 1/2 K))))))))) -2) (cos (/ K 2))) J)))) 141.642 * * * * [progress]: [ 78 / 87 ] simplifiying candidate # 141.642 * [simplify]: Simplifying (exp (* 1/6 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 141.642 * * [simplify]: iters left: 6 (23 enodes) 141.652 * * [simplify]: iters left: 5 (93 enodes) 141.671 * * [simplify]: iters left: 4 (173 enodes) 141.732 * * [simplify]: iters left: 3 (409 enodes) 141.899 * * [simplify]: Extracting #0: cost 1 inf + 0 141.899 * * [simplify]: Extracting #1: cost 26 inf + 0 141.899 * * [simplify]: Extracting #2: cost 143 inf + 72 141.900 * * [simplify]: Extracting #3: cost 360 inf + 148 141.902 * * [simplify]: Extracting #4: cost 401 inf + 812 141.907 * * [simplify]: Extracting #5: cost 361 inf + 7497 141.918 * * [simplify]: Extracting #6: cost 250 inf + 39002 141.954 * * [simplify]: Extracting #7: cost 45 inf + 118346 142.000 * * [simplify]: Extracting #8: cost 1 inf + 141288 142.029 * * [simplify]: Extracting #9: cost 0 inf + 140871 142.054 * [simplify]: Simplified to (exp (+ (* (log (/ 1/4 (* (cos (* 1/2 K)) (cos (* 1/2 K))))) 1/6) (* (- (log (/ -1 J)) (log (/ -1 U))) 1/3))) 142.054 * [simplify]: Simplified (2 2 1 1 1 1 2) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (* (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (exp (+ (* (log (/ 1/4 (* (cos (* 1/2 K)) (cos (* 1/2 K))))) 1/6) (* (- (log (/ -1 J)) (log (/ -1 U))) 1/3)))) -2) (cos (/ K 2))) J)))) 142.055 * * * * [progress]: [ 79 / 87 ] simplifiying candidate # 142.055 * [simplify]: Simplifying 1 142.055 * * [simplify]: iters left: 0 (1 enodes) 142.056 * * [simplify]: Extracting #0: cost 1 inf + 0 142.056 * * [simplify]: Extracting #1: cost 0 inf + 1 142.056 * [simplify]: Simplified to 1 142.056 * [simplify]: Simplified (2 2 1 1 1 1 1 2) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (* (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) 1) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)))) 142.056 * * * * [progress]: [ 80 / 87 ] simplifiying candidate # 142.056 * [simplify]: Simplifying (exp (* 1/6 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) 142.056 * * [simplify]: iters left: 6 (23 enodes) 142.064 * * [simplify]: iters left: 5 (96 enodes) 142.082 * * [simplify]: iters left: 4 (176 enodes) 142.124 * * [simplify]: iters left: 3 (392 enodes) 142.270 * * [simplify]: Extracting #0: cost 1 inf + 0 142.271 * * [simplify]: Extracting #1: cost 25 inf + 0 142.271 * * [simplify]: Extracting #2: cost 121 inf + 72 142.272 * * [simplify]: Extracting #3: cost 291 inf + 147 142.274 * * [simplify]: Extracting #4: cost 302 inf + 2522 142.277 * * [simplify]: Extracting #5: cost 239 inf + 14646 142.282 * * [simplify]: Extracting #6: cost 175 inf + 30971 142.299 * * [simplify]: Extracting #7: cost 38 inf + 83550 142.325 * * [simplify]: Extracting #8: cost 7 inf + 98710 142.344 * * [simplify]: Extracting #9: cost 0 inf + 104461 142.371 * * [simplify]: Extracting #10: cost 0 inf + 103261 142.389 * [simplify]: Simplified to (exp (* 1/6 (+ (* -2 (- (log J) (log U))) (log (/ 1/4 (* (cos (* 1/2 K)) (cos (* 1/2 K)))))))) 142.389 * [simplify]: Simplified (2 2 1 1 1 1 1 2) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (* (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (exp (* 1/6 (+ (* -2 (- (log J) (log U))) (log (/ 1/4 (* (cos (* 1/2 K)) (cos (* 1/2 K))))))))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)))) 142.390 * * * * [progress]: [ 81 / 87 ] simplifiying candidate # 142.390 * [simplify]: Simplifying (exp (* 1/6 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 142.390 * * [simplify]: iters left: 6 (23 enodes) 142.399 * * [simplify]: iters left: 5 (93 enodes) 142.421 * * [simplify]: iters left: 4 (173 enodes) 142.484 * * [simplify]: iters left: 3 (409 enodes) 142.640 * * [simplify]: Extracting #0: cost 1 inf + 0 142.640 * * [simplify]: Extracting #1: cost 26 inf + 0 142.640 * * [simplify]: Extracting #2: cost 143 inf + 72 142.642 * * [simplify]: Extracting #3: cost 360 inf + 148 142.643 * * [simplify]: Extracting #4: cost 401 inf + 812 142.645 * * [simplify]: Extracting #5: cost 361 inf + 7497 142.651 * * [simplify]: Extracting #6: cost 250 inf + 39002 142.670 * * [simplify]: Extracting #7: cost 45 inf + 118346 142.719 * * [simplify]: Extracting #8: cost 1 inf + 141288 142.747 * * [simplify]: Extracting #9: cost 0 inf + 140871 142.779 * [simplify]: Simplified to (exp (+ (* (log (/ 1/4 (* (cos (* 1/2 K)) (cos (* 1/2 K))))) 1/6) (* (- (log (/ -1 J)) (log (/ -1 U))) 1/3))) 142.780 * [simplify]: Simplified (2 2 1 1 1 1 1 2) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (* (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (exp (+ (* (log (/ 1/4 (* (cos (* 1/2 K)) (cos (* 1/2 K))))) 1/6) (* (- (log (/ -1 J)) (log (/ -1 U))) 1/3)))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)))) 142.780 * * * * [progress]: [ 82 / 87 ] simplifiying candidate # 142.780 * [simplify]: Simplifying 1 142.780 * * [simplify]: iters left: 0 (1 enodes) 142.781 * * [simplify]: Extracting #0: cost 1 inf + 0 142.781 * * [simplify]: Extracting #1: cost 0 inf + 1 142.781 * [simplify]: Simplified to 1 142.781 * [simplify]: Simplified (2 2 1 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (* (* 1 (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)))) 142.782 * * * * [progress]: [ 83 / 87 ] simplifiying candidate # 142.782 * [simplify]: Simplifying (exp (* 1/6 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) 142.782 * * [simplify]: iters left: 6 (23 enodes) 142.790 * * [simplify]: iters left: 5 (96 enodes) 142.822 * * [simplify]: iters left: 4 (176 enodes) 142.888 * * [simplify]: iters left: 3 (392 enodes) 143.000 * * [simplify]: Extracting #0: cost 1 inf + 0 143.000 * * [simplify]: Extracting #1: cost 25 inf + 0 143.000 * * [simplify]: Extracting #2: cost 121 inf + 72 143.001 * * [simplify]: Extracting #3: cost 291 inf + 147 143.003 * * [simplify]: Extracting #4: cost 302 inf + 2522 143.006 * * [simplify]: Extracting #5: cost 239 inf + 14646 143.011 * * [simplify]: Extracting #6: cost 175 inf + 30971 143.039 * * [simplify]: Extracting #7: cost 38 inf + 83550 143.072 * * [simplify]: Extracting #8: cost 7 inf + 98710 143.107 * * [simplify]: Extracting #9: cost 0 inf + 104461 143.130 * * [simplify]: Extracting #10: cost 0 inf + 103261 143.154 * [simplify]: Simplified to (exp (* 1/6 (+ (* -2 (- (log J) (log U))) (log (/ 1/4 (* (cos (* 1/2 K)) (cos (* 1/2 K)))))))) 143.155 * [simplify]: Simplified (2 2 1 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (* (* (exp (* 1/6 (+ (* -2 (- (log J) (log U))) (log (/ 1/4 (* (cos (* 1/2 K)) (cos (* 1/2 K)))))))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)))) 143.155 * * * * [progress]: [ 84 / 87 ] simplifiying candidate # 143.156 * [simplify]: Simplifying (exp (* 1/6 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 143.156 * * [simplify]: iters left: 6 (23 enodes) 143.169 * * [simplify]: iters left: 5 (93 enodes) 143.188 * * [simplify]: iters left: 4 (173 enodes) 143.224 * * [simplify]: iters left: 3 (409 enodes) 143.367 * * [simplify]: Extracting #0: cost 1 inf + 0 143.367 * * [simplify]: Extracting #1: cost 26 inf + 0 143.367 * * [simplify]: Extracting #2: cost 143 inf + 72 143.369 * * [simplify]: Extracting #3: cost 360 inf + 148 143.372 * * [simplify]: Extracting #4: cost 401 inf + 812 143.377 * * [simplify]: Extracting #5: cost 361 inf + 7497 143.388 * * [simplify]: Extracting #6: cost 250 inf + 39002 143.408 * * [simplify]: Extracting #7: cost 45 inf + 118346 143.437 * * [simplify]: Extracting #8: cost 1 inf + 141288 143.477 * * [simplify]: Extracting #9: cost 0 inf + 140871 143.511 * [simplify]: Simplified to (exp (+ (* (log (/ 1/4 (* (cos (* 1/2 K)) (cos (* 1/2 K))))) 1/6) (* (- (log (/ -1 J)) (log (/ -1 U))) 1/3))) 143.511 * [simplify]: Simplified (2 2 1 1 1 1 1 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J))) (cbrt (* (* (* (* (* (exp (+ (* (log (/ 1/4 (* (cos (* 1/2 K)) (cos (* 1/2 K))))) 1/6) (* (- (log (/ -1 J)) (log (/ -1 U))) 1/3))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)))) 143.512 * * * * [progress]: [ 85 / 87 ] simplifiying candidate # 143.512 * [simplify]: Simplifying (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 143.512 * * [simplify]: iters left: 6 (10 enodes) 143.516 * * [simplify]: iters left: 5 (43 enodes) 143.524 * * [simplify]: iters left: 4 (79 enodes) 143.546 * * [simplify]: iters left: 3 (118 enodes) 143.585 * * [simplify]: iters left: 2 (171 enodes) 143.641 * * [simplify]: iters left: 1 (242 enodes) 143.694 * * [simplify]: Extracting #0: cost 1 inf + 0 143.694 * * [simplify]: Extracting #1: cost 6 inf + 0 143.694 * * [simplify]: Extracting #2: cost 41 inf + 0 143.694 * * [simplify]: Extracting #3: cost 56 inf + 213 143.695 * * [simplify]: Extracting #4: cost 20 inf + 2732 143.696 * * [simplify]: Extracting #5: cost 1 inf + 4576 143.698 * * [simplify]: Extracting #6: cost 0 inf + 4698 143.699 * [simplify]: Simplified to (- (* -2 J) (/ (* U U) (/ J 1/4))) 143.699 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (- (* -2 J) (/ (* U U) (/ J 1/4))))) (cbrt (* (* (* (* (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)))) 143.700 * * * * [progress]: [ 86 / 87 ] simplifiying candidate # 143.700 * [simplify]: Simplifying (* -1 U) 143.700 * * [simplify]: iters left: 2 (3 enodes) 143.701 * * [simplify]: iters left: 1 (11 enodes) 143.703 * * [simplify]: Extracting #0: cost 1 inf + 0 143.703 * * [simplify]: Extracting #1: cost 4 inf + 0 143.703 * * [simplify]: Extracting #2: cost 0 inf + 84 143.703 * [simplify]: Simplified to (- U) 143.703 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (- U))) (cbrt (* (* (* (* (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)))) 143.703 * * * * [progress]: [ 87 / 87 ] simplifiying candidate # 143.704 * [simplify]: Simplifying (* -1 U) 143.704 * * [simplify]: iters left: 2 (3 enodes) 143.705 * * [simplify]: iters left: 1 (11 enodes) 143.706 * * [simplify]: Extracting #0: cost 1 inf + 0 143.707 * * [simplify]: Extracting #1: cost 4 inf + 0 143.707 * * [simplify]: Extracting #2: cost 0 inf + 84 143.707 * [simplify]: Simplified to (- U) 143.707 * [simplify]: Simplified (2 1 2 1) to (λ (J K U) (* (* (cbrt (* (* (* (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)) -2) (cos (/ K 2))) J)) (cbrt (- U))) (cbrt (* (* (* (* (* (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) (cbrt (sqrt (+ (* (/ U (* 2 (* (cos (/ K 2)) J))) (/ U (* 2 (* (cos (/ K 2)) J)))) 1)))) -2) (cos (/ K 2))) J)))) 143.707 * * * [progress]: adding candidates to table 145.691 * [progress]: [Phase 3 of 3] Extracting. 145.691 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # #real (real->posit16 (* (cos (/ K 2)) J)))))) 1)) -2) (cos (/ K 2))) J))>) 145.700 * * * [regime-changes]: Trying 5 branch expressions: (U K (/ K 2) (cos (/ K 2)) J) 145.700 * * * * [regimes]: Trying to branch on U from (# # # # # # # # # # # # #real (real->posit16 (* (cos (/ K 2)) J)))))) 1)) -2) (cos (/ K 2))) J))>) 145.877 * * * * [regimes]: Trying to branch on K from (# # # # # # # # # # # # #real (real->posit16 (* (cos (/ K 2)) J)))))) 1)) -2) (cos (/ K 2))) J))>) 146.002 * * * * [regimes]: Trying to branch on (/ K 2) from (# # # # # # # # # # # # #real (real->posit16 (* (cos (/ K 2)) J)))))) 1)) -2) (cos (/ K 2))) J))>) 146.125 * * * * [regimes]: Trying to branch on (cos (/ K 2)) from (# # # # # # # # # # # # #real (real->posit16 (* (cos (/ K 2)) J)))))) 1)) -2) (cos (/ K 2))) J))>) 146.259 * * * * [regimes]: Trying to branch on J from (# # # # # # # # # # # # #real (real->posit16 (* (cos (/ K 2)) J)))))) 1)) -2) (cos (/ K 2))) J))>) 146.431 * * * [regime]: Found split indices: #