0.002 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.171 * * * [progress]: [2/2] Setting up program. 0.176 * [progress]: [Phase 2 of 3] Improving. 0.176 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.176 * [simplify]: Simplifying: (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 0.176 * * [simplify]: iteration 1: (17 enodes) 0.182 * * [simplify]: iteration 2: (70 enodes) 0.223 * * [simplify]: iteration 3: (126 enodes) 0.261 * * [simplify]: iteration 4: (277 enodes) 0.359 * * [simplify]: iteration 5: (754 enodes) 0.879 * * [simplify]: Extracting #0: cost 1 inf + 0 0.880 * * [simplify]: Extracting #1: cost 16 inf + 0 0.880 * * [simplify]: Extracting #2: cost 29 inf + 2 0.880 * * [simplify]: Extracting #3: cost 31 inf + 87 0.880 * * [simplify]: Extracting #4: cost 214 inf + 131 0.884 * * [simplify]: Extracting #5: cost 464 inf + 10800 0.906 * * [simplify]: Extracting #6: cost 159 inf + 94433 0.943 * * [simplify]: Extracting #7: cost 26 inf + 139839 1.008 * * [simplify]: Extracting #8: cost 1 inf + 153222 1.052 * * [simplify]: Extracting #9: cost 0 inf + 153737 1.111 * [simplify]: Simplified to: (* (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) 1.119 * * [progress]: iteration 1 / 4 1.119 * * * [progress]: picking best candidate 1.123 * * * * [pick]: Picked # 1.123 * * * [progress]: localizing error 1.163 * * * [progress]: generating rewritten candidates 1.163 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.252 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.449 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.530 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.561 * * * [progress]: generating series expansions 1.561 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.562 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 1.562 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0 1.562 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 1.562 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 1.562 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 1.562 * [taylor]: Taking taylor expansion of 1/4 in K 1.562 * [backup-simplify]: Simplify 1/4 into 1/4 1.562 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.562 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.562 * [taylor]: Taking taylor expansion of U in K 1.562 * [backup-simplify]: Simplify U into U 1.562 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.562 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.562 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.562 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.562 * [taylor]: Taking taylor expansion of 1/2 in K 1.562 * [backup-simplify]: Simplify 1/2 into 1/2 1.562 * [taylor]: Taking taylor expansion of K in K 1.562 * [backup-simplify]: Simplify 0 into 0 1.562 * [backup-simplify]: Simplify 1 into 1 1.563 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.564 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 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 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.565 * [backup-simplify]: Simplify (* 1 1) into 1 1.565 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.565 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.565 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 1.565 * [taylor]: Taking taylor expansion of 1 in K 1.565 * [backup-simplify]: Simplify 1 into 1 1.565 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 1.565 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1.566 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 1.566 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.566 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.566 * [backup-simplify]: Simplify (+ 0) into 0 1.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 1.568 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 1.568 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 1.569 * [backup-simplify]: Simplify (+ 0 0) into 0 1.569 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 1.569 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 1.569 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 1.569 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 1.569 * [taylor]: Taking taylor expansion of 1/4 in J 1.569 * [backup-simplify]: Simplify 1/4 into 1/4 1.569 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 1.569 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.569 * [taylor]: Taking taylor expansion of U in J 1.569 * [backup-simplify]: Simplify U into U 1.570 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 1.570 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 1.570 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.570 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.570 * [taylor]: Taking taylor expansion of 1/2 in J 1.570 * [backup-simplify]: Simplify 1/2 into 1/2 1.570 * [taylor]: Taking taylor expansion of K in J 1.570 * [backup-simplify]: Simplify K into K 1.570 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.570 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.570 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.570 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.571 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.571 * [backup-simplify]: Simplify (- 0) into 0 1.571 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.571 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.571 * [taylor]: Taking taylor expansion of J in J 1.571 * [backup-simplify]: Simplify 0 into 0 1.571 * [backup-simplify]: Simplify 1 into 1 1.571 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.571 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.572 * [backup-simplify]: Simplify (* 1 1) into 1 1.572 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 1.572 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 1.572 * [taylor]: Taking taylor expansion of 1 in J 1.572 * [backup-simplify]: Simplify 1 into 1 1.572 * [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))) 1.573 * [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))) 1.573 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 1.573 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.574 * [backup-simplify]: Simplify (+ 0) into 0 1.575 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.575 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.576 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.577 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.577 * [backup-simplify]: Simplify (- 0) into 0 1.577 * [backup-simplify]: Simplify (+ 0 0) into 0 1.577 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.578 * [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 U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 1.579 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 1.580 * [backup-simplify]: Simplify (+ 0 0) into 0 1.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 1.580 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.580 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.580 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.580 * [taylor]: Taking taylor expansion of 1/4 in U 1.580 * [backup-simplify]: Simplify 1/4 into 1/4 1.580 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.580 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.580 * [taylor]: Taking taylor expansion of U in U 1.580 * [backup-simplify]: Simplify 0 into 0 1.580 * [backup-simplify]: Simplify 1 into 1 1.580 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.580 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.581 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.581 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.581 * [taylor]: Taking taylor expansion of 1/2 in U 1.581 * [backup-simplify]: Simplify 1/2 into 1/2 1.581 * [taylor]: Taking taylor expansion of K in U 1.581 * [backup-simplify]: Simplify K into K 1.581 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.581 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.581 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.581 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.581 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.581 * [backup-simplify]: Simplify (- 0) into 0 1.582 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.582 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.582 * [taylor]: Taking taylor expansion of J in U 1.582 * [backup-simplify]: Simplify J into J 1.582 * [backup-simplify]: Simplify (* 1 1) into 1 1.582 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.582 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.582 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.583 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.583 * [taylor]: Taking taylor expansion of 1 in U 1.583 * [backup-simplify]: Simplify 1 into 1 1.583 * [backup-simplify]: Simplify (+ 0 1) into 1 1.584 * [backup-simplify]: Simplify (sqrt 1) into 1 1.584 * [backup-simplify]: Simplify (+ 0 0) into 0 1.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.585 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.585 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.585 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.585 * [taylor]: Taking taylor expansion of 1/4 in U 1.585 * [backup-simplify]: Simplify 1/4 into 1/4 1.585 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.585 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.585 * [taylor]: Taking taylor expansion of U in U 1.585 * [backup-simplify]: Simplify 0 into 0 1.585 * [backup-simplify]: Simplify 1 into 1 1.585 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.585 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.585 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.585 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.585 * [taylor]: Taking taylor expansion of 1/2 in U 1.585 * [backup-simplify]: Simplify 1/2 into 1/2 1.585 * [taylor]: Taking taylor expansion of K in U 1.585 * [backup-simplify]: Simplify K into K 1.585 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.585 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.585 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.586 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.586 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.586 * [backup-simplify]: Simplify (- 0) into 0 1.586 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.586 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.586 * [taylor]: Taking taylor expansion of J in U 1.586 * [backup-simplify]: Simplify J into J 1.587 * [backup-simplify]: Simplify (* 1 1) into 1 1.587 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.587 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.587 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.587 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.587 * [taylor]: Taking taylor expansion of 1 in U 1.587 * [backup-simplify]: Simplify 1 into 1 1.588 * [backup-simplify]: Simplify (+ 0 1) into 1 1.588 * [backup-simplify]: Simplify (sqrt 1) into 1 1.588 * [backup-simplify]: Simplify (+ 0 0) into 0 1.589 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.589 * [taylor]: Taking taylor expansion of 1 in J 1.589 * [backup-simplify]: Simplify 1 into 1 1.589 * [taylor]: Taking taylor expansion of 0 in J 1.589 * [backup-simplify]: Simplify 0 into 0 1.590 * [taylor]: Taking taylor expansion of 1 in K 1.590 * [backup-simplify]: Simplify 1 into 1 1.590 * [backup-simplify]: Simplify 1 into 1 1.590 * [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))) 1.590 * [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)))) 1.592 * [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))) 1.592 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 1.592 * [taylor]: Taking taylor expansion of 1/8 in J 1.592 * [backup-simplify]: Simplify 1/8 into 1/8 1.592 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 1.592 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 1.592 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.592 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.592 * [taylor]: Taking taylor expansion of 1/2 in J 1.592 * [backup-simplify]: Simplify 1/2 into 1/2 1.592 * [taylor]: Taking taylor expansion of K in J 1.592 * [backup-simplify]: Simplify K into K 1.592 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.592 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.592 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.592 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.592 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.593 * [backup-simplify]: Simplify (- 0) into 0 1.593 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.593 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.593 * [taylor]: Taking taylor expansion of J in J 1.593 * [backup-simplify]: Simplify 0 into 0 1.593 * [backup-simplify]: Simplify 1 into 1 1.593 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.594 * [backup-simplify]: Simplify (* 1 1) into 1 1.594 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 1.594 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 1.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.595 * [backup-simplify]: Simplify (+ 0) into 0 1.596 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.596 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.597 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.597 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.598 * [backup-simplify]: Simplify (- 0) into 0 1.598 * [backup-simplify]: Simplify (+ 0 0) into 0 1.598 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.599 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 1.599 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 1.599 * [taylor]: Taking taylor expansion of 0 in K 1.599 * [backup-simplify]: Simplify 0 into 0 1.599 * [backup-simplify]: Simplify 0 into 0 1.599 * [taylor]: Taking taylor expansion of 0 in K 1.600 * [backup-simplify]: Simplify 0 into 0 1.600 * [backup-simplify]: Simplify 0 into 0 1.600 * [taylor]: Taking taylor expansion of 0 in K 1.600 * [backup-simplify]: Simplify 0 into 0 1.600 * [backup-simplify]: Simplify 0 into 0 1.600 * [backup-simplify]: Simplify 0 into 0 1.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.601 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.601 * [backup-simplify]: Simplify (+ 0) into 0 1.601 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.602 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.603 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.603 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.604 * [backup-simplify]: Simplify (- 0) into 0 1.608 * [backup-simplify]: Simplify (+ 0 0) into 0 1.608 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.608 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 1.609 * [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 1.610 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 1.610 * [backup-simplify]: Simplify (+ 0 0) into 0 1.611 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 1.611 * [taylor]: Taking taylor expansion of 0 in J 1.611 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.613 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.614 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.615 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.615 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.616 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.616 * [backup-simplify]: Simplify (- 0) into 0 1.616 * [backup-simplify]: Simplify (+ 0 0) into 0 1.617 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 1.618 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 1.618 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 1.618 * [taylor]: Taking taylor expansion of 0 in K 1.618 * [backup-simplify]: Simplify 0 into 0 1.618 * [backup-simplify]: Simplify 0 into 0 1.618 * [taylor]: Taking taylor expansion of 0 in K 1.618 * [backup-simplify]: Simplify 0 into 0 1.618 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify 1 into 1 1.619 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (+ (/ 1 J) (/ 1 J)) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (+ (/ 1 J) (/ 1 J)) (cos (/ (/ 1 K) 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 1.619 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0 1.620 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 1.620 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 1.620 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 1.620 * [taylor]: Taking taylor expansion of 1/4 in K 1.620 * [backup-simplify]: Simplify 1/4 into 1/4 1.620 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 1.620 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.620 * [taylor]: Taking taylor expansion of J in K 1.620 * [backup-simplify]: Simplify J into J 1.620 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 1.620 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.620 * [taylor]: Taking taylor expansion of U in K 1.620 * [backup-simplify]: Simplify U into U 1.620 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 1.620 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.620 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.620 * [taylor]: Taking taylor expansion of 1/2 in K 1.620 * [backup-simplify]: Simplify 1/2 into 1/2 1.620 * [taylor]: Taking taylor expansion of K in K 1.620 * [backup-simplify]: Simplify 0 into 0 1.620 * [backup-simplify]: Simplify 1 into 1 1.621 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.621 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.621 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.621 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.621 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.621 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.622 * [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))) 1.622 * [taylor]: Taking taylor expansion of 1 in K 1.622 * [backup-simplify]: Simplify 1 into 1 1.622 * [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)))) 1.622 * [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) 1.623 * [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)) 1.623 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.623 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.623 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.623 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.624 * [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 1.625 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.625 * [backup-simplify]: Simplify (+ 0 0) into 0 1.625 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 1.625 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 1.626 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 1.626 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 1.626 * [taylor]: Taking taylor expansion of 1/4 in J 1.626 * [backup-simplify]: Simplify 1/4 into 1/4 1.626 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 1.626 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.626 * [taylor]: Taking taylor expansion of J in J 1.626 * [backup-simplify]: Simplify 0 into 0 1.626 * [backup-simplify]: Simplify 1 into 1 1.626 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 1.626 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.626 * [taylor]: Taking taylor expansion of U in J 1.626 * [backup-simplify]: Simplify U into U 1.626 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.626 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.626 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.626 * [taylor]: Taking taylor expansion of 1/2 in J 1.626 * [backup-simplify]: Simplify 1/2 into 1/2 1.626 * [taylor]: Taking taylor expansion of K in J 1.626 * [backup-simplify]: Simplify K into K 1.626 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.626 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.626 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.626 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.626 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.627 * [backup-simplify]: Simplify (- 0) into 0 1.627 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.627 * [backup-simplify]: Simplify (* 1 1) into 1 1.627 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.627 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.628 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.628 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 1.628 * [taylor]: Taking taylor expansion of 1 in J 1.628 * [backup-simplify]: Simplify 1 into 1 1.628 * [backup-simplify]: Simplify (+ 0 1) into 1 1.629 * [backup-simplify]: Simplify (sqrt 1) into 1 1.629 * [backup-simplify]: Simplify (+ 0 0) into 0 1.630 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.630 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.630 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.630 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.630 * [taylor]: Taking taylor expansion of 1/4 in U 1.630 * [backup-simplify]: Simplify 1/4 into 1/4 1.630 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.630 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.630 * [taylor]: Taking taylor expansion of J in U 1.630 * [backup-simplify]: Simplify J into J 1.630 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.630 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.630 * [taylor]: Taking taylor expansion of U in U 1.631 * [backup-simplify]: Simplify 0 into 0 1.631 * [backup-simplify]: Simplify 1 into 1 1.631 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.631 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.631 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.631 * [taylor]: Taking taylor expansion of 1/2 in U 1.631 * [backup-simplify]: Simplify 1/2 into 1/2 1.631 * [taylor]: Taking taylor expansion of K in U 1.631 * [backup-simplify]: Simplify K into K 1.631 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.631 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.631 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.631 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.631 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.631 * [backup-simplify]: Simplify (- 0) into 0 1.632 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.632 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.632 * [backup-simplify]: Simplify (* 1 1) into 1 1.632 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.632 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.632 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.632 * [taylor]: Taking taylor expansion of 1 in U 1.633 * [backup-simplify]: Simplify 1 into 1 1.633 * [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))) 1.633 * [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))) 1.633 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.633 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.634 * [backup-simplify]: Simplify (+ 0) into 0 1.634 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.634 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.635 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.636 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.636 * [backup-simplify]: Simplify (- 0) into 0 1.636 * [backup-simplify]: Simplify (+ 0 0) into 0 1.636 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.637 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.638 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.638 * [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 1.639 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.639 * [backup-simplify]: Simplify (+ 0 0) into 0 1.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.639 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.639 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.640 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.640 * [taylor]: Taking taylor expansion of 1/4 in U 1.640 * [backup-simplify]: Simplify 1/4 into 1/4 1.640 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.640 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.640 * [taylor]: Taking taylor expansion of J in U 1.640 * [backup-simplify]: Simplify J into J 1.640 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.640 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.640 * [taylor]: Taking taylor expansion of U in U 1.640 * [backup-simplify]: Simplify 0 into 0 1.640 * [backup-simplify]: Simplify 1 into 1 1.640 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.640 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.640 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.640 * [taylor]: Taking taylor expansion of 1/2 in U 1.640 * [backup-simplify]: Simplify 1/2 into 1/2 1.640 * [taylor]: Taking taylor expansion of K in U 1.640 * [backup-simplify]: Simplify K into K 1.640 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.640 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.640 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.640 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.640 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.641 * [backup-simplify]: Simplify (- 0) into 0 1.641 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.641 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.641 * [backup-simplify]: Simplify (* 1 1) into 1 1.641 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.641 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.642 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.642 * [taylor]: Taking taylor expansion of 1 in U 1.642 * [backup-simplify]: Simplify 1 into 1 1.642 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.642 * [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))) 1.642 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.643 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.643 * [backup-simplify]: Simplify (+ 0) into 0 1.643 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.643 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.644 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.644 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.644 * [backup-simplify]: Simplify (- 0) into 0 1.645 * [backup-simplify]: Simplify (+ 0 0) into 0 1.645 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.646 * [backup-simplify]: 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 1.646 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.646 * [backup-simplify]: Simplify (+ 0 0) into 0 1.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.647 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 1.647 * [taylor]: Taking taylor expansion of 1/2 in J 1.647 * [backup-simplify]: Simplify 1/2 into 1/2 1.647 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 1.647 * [taylor]: Taking taylor expansion of J in J 1.647 * [backup-simplify]: Simplify 0 into 0 1.647 * [backup-simplify]: Simplify 1 into 1 1.647 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.647 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.647 * [taylor]: Taking taylor expansion of 1/2 in J 1.647 * [backup-simplify]: Simplify 1/2 into 1/2 1.647 * [taylor]: Taking taylor expansion of K in J 1.647 * [backup-simplify]: Simplify K into K 1.647 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.647 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.647 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.647 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.647 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.647 * [backup-simplify]: Simplify (- 0) into 0 1.647 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.647 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 1.647 * [taylor]: Taking taylor expansion of 0 in J 1.647 * [backup-simplify]: Simplify 0 into 0 1.647 * [taylor]: Taking taylor expansion of 0 in K 1.647 * [backup-simplify]: Simplify 0 into 0 1.647 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 1.648 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 1.648 * [taylor]: Taking taylor expansion of 1/2 in K 1.648 * [backup-simplify]: Simplify 1/2 into 1/2 1.648 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.648 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.648 * [taylor]: Taking taylor expansion of 1/2 in K 1.648 * [backup-simplify]: Simplify 1/2 into 1/2 1.648 * [taylor]: Taking taylor expansion of K in K 1.648 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify 1 into 1 1.648 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.648 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.648 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 1.648 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 1.648 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.649 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.649 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.650 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.650 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.650 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.651 * [backup-simplify]: Simplify (- 0) into 0 1.651 * [backup-simplify]: Simplify (+ 0 0) into 0 1.651 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 1.652 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.653 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.653 * [backup-simplify]: Simplify (+ 0 1) into 1 1.654 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 1.654 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.654 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.654 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.654 * [taylor]: Taking taylor expansion of 1/2 in J 1.654 * [backup-simplify]: Simplify 1/2 into 1/2 1.654 * [taylor]: Taking taylor expansion of K in J 1.654 * [backup-simplify]: Simplify K into K 1.654 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.654 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.654 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.654 * [taylor]: Taking taylor expansion of J in J 1.654 * [backup-simplify]: Simplify 0 into 0 1.654 * [backup-simplify]: Simplify 1 into 1 1.654 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.654 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.655 * [backup-simplify]: Simplify (- 0) into 0 1.655 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.655 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.655 * [backup-simplify]: Simplify (+ 0) into 0 1.655 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.655 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.656 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.656 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.656 * [backup-simplify]: Simplify (- 0) into 0 1.657 * [backup-simplify]: Simplify (+ 0 0) into 0 1.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 1.657 * [taylor]: Taking taylor expansion of 0 in K 1.657 * [backup-simplify]: Simplify 0 into 0 1.657 * [backup-simplify]: Simplify 0 into 0 1.657 * [taylor]: Taking taylor expansion of 0 in K 1.657 * [backup-simplify]: Simplify 0 into 0 1.657 * [backup-simplify]: Simplify 0 into 0 1.658 * [backup-simplify]: Simplify (+ 0) into 0 1.658 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.658 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.658 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.659 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.659 * [backup-simplify]: Simplify (- 0) into 0 1.659 * [backup-simplify]: Simplify (+ 0 0) into 0 1.659 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.660 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 1.660 * [taylor]: Taking taylor expansion of 0 in K 1.660 * [backup-simplify]: Simplify 0 into 0 1.660 * [backup-simplify]: Simplify 0 into 0 1.660 * [backup-simplify]: Simplify 0 into 0 1.660 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.660 * [backup-simplify]: Simplify 0 into 0 1.661 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.661 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.662 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.662 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.663 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.663 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.663 * [backup-simplify]: Simplify (- 0) into 0 1.664 * [backup-simplify]: Simplify (+ 0 0) into 0 1.664 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 1.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.666 * [backup-simplify]: 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 1.667 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.667 * [backup-simplify]: Simplify (+ 0 0) into 0 1.667 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 1.667 * [taylor]: Taking taylor expansion of 0 in J 1.667 * [backup-simplify]: Simplify 0 into 0 1.667 * [taylor]: Taking taylor expansion of 0 in K 1.667 * [backup-simplify]: Simplify 0 into 0 1.667 * [backup-simplify]: Simplify 0 into 0 1.667 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 1.668 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (+ (/ 1 (- J)) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (+ (/ 1 (- J)) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 1.668 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0 1.668 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 1.668 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 1.668 * [taylor]: Taking taylor expansion of 1 in K 1.668 * [backup-simplify]: Simplify 1 into 1 1.668 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 1.668 * [taylor]: Taking taylor expansion of 1/4 in K 1.668 * [backup-simplify]: Simplify 1/4 into 1/4 1.668 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 1.668 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.668 * [taylor]: Taking taylor expansion of J in K 1.668 * [backup-simplify]: Simplify J into J 1.668 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 1.668 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 1.668 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.668 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.668 * [taylor]: Taking taylor expansion of -1/2 in K 1.668 * [backup-simplify]: Simplify -1/2 into -1/2 1.668 * [taylor]: Taking taylor expansion of K in K 1.668 * [backup-simplify]: Simplify 0 into 0 1.668 * [backup-simplify]: Simplify 1 into 1 1.668 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.668 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.669 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.669 * [taylor]: Taking taylor expansion of U in K 1.669 * [backup-simplify]: Simplify U into U 1.669 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.669 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.669 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.669 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.669 * [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))) 1.669 * [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)))) 1.669 * [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))))) 1.670 * [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)))))) 1.670 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.670 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.670 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.670 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 1.670 * [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 1.671 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 1.671 * [backup-simplify]: Simplify (+ 0 0) into 0 1.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 1.671 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 1.671 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 1.671 * [taylor]: Taking taylor expansion of 1 in J 1.671 * [backup-simplify]: Simplify 1 into 1 1.671 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 1.671 * [taylor]: Taking taylor expansion of 1/4 in J 1.671 * [backup-simplify]: Simplify 1/4 into 1/4 1.671 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 1.671 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.671 * [taylor]: Taking taylor expansion of J in J 1.671 * [backup-simplify]: Simplify 0 into 0 1.671 * [backup-simplify]: Simplify 1 into 1 1.671 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 1.671 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.671 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.671 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.671 * [taylor]: Taking taylor expansion of -1/2 in J 1.671 * [backup-simplify]: Simplify -1/2 into -1/2 1.671 * [taylor]: Taking taylor expansion of K in J 1.671 * [backup-simplify]: Simplify K into K 1.671 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.672 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.672 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.672 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.672 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.672 * [backup-simplify]: Simplify (- 0) into 0 1.672 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.672 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.672 * [taylor]: Taking taylor expansion of U in J 1.672 * [backup-simplify]: Simplify U into U 1.672 * [backup-simplify]: Simplify (* 1 1) into 1 1.672 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.672 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.673 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.673 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 1.673 * [backup-simplify]: Simplify (+ 1 0) into 1 1.673 * [backup-simplify]: Simplify (sqrt 1) into 1 1.673 * [backup-simplify]: Simplify (+ 0 0) into 0 1.674 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.674 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 1.674 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 1.674 * [taylor]: Taking taylor expansion of 1 in U 1.674 * [backup-simplify]: Simplify 1 into 1 1.674 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.674 * [taylor]: Taking taylor expansion of 1/4 in U 1.674 * [backup-simplify]: Simplify 1/4 into 1/4 1.674 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.674 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.674 * [taylor]: Taking taylor expansion of J in U 1.674 * [backup-simplify]: Simplify J into J 1.674 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.674 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.674 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.674 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.674 * [taylor]: Taking taylor expansion of -1/2 in U 1.674 * [backup-simplify]: Simplify -1/2 into -1/2 1.674 * [taylor]: Taking taylor expansion of K in U 1.674 * [backup-simplify]: Simplify K into K 1.674 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.674 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.674 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.674 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.674 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.675 * [backup-simplify]: Simplify (- 0) into 0 1.675 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.675 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.675 * [taylor]: Taking taylor expansion of U in U 1.675 * [backup-simplify]: Simplify 0 into 0 1.675 * [backup-simplify]: Simplify 1 into 1 1.675 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.675 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.675 * [backup-simplify]: Simplify (* 1 1) into 1 1.675 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.675 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.676 * [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))) 1.676 * [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))) 1.676 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.676 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.677 * [backup-simplify]: Simplify (+ 0) into 0 1.678 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.678 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.679 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.679 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.679 * [backup-simplify]: Simplify (- 0) into 0 1.680 * [backup-simplify]: Simplify (+ 0 0) into 0 1.680 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.681 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.681 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.681 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.682 * [backup-simplify]: Simplify (+ 0 0) into 0 1.682 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.682 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 1.682 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 1.682 * [taylor]: Taking taylor expansion of 1 in U 1.682 * [backup-simplify]: Simplify 1 into 1 1.682 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.682 * [taylor]: Taking taylor expansion of 1/4 in U 1.682 * [backup-simplify]: Simplify 1/4 into 1/4 1.682 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.682 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.682 * [taylor]: Taking taylor expansion of J in U 1.682 * [backup-simplify]: Simplify J into J 1.682 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.682 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.683 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.683 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.683 * [taylor]: Taking taylor expansion of -1/2 in U 1.683 * [backup-simplify]: Simplify -1/2 into -1/2 1.683 * [taylor]: Taking taylor expansion of K in U 1.683 * [backup-simplify]: Simplify K into K 1.683 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.683 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.683 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.683 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.683 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.683 * [backup-simplify]: Simplify (- 0) into 0 1.683 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.684 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.684 * [taylor]: Taking taylor expansion of U in U 1.684 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify 1 into 1 1.684 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.684 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.684 * [backup-simplify]: Simplify (* 1 1) into 1 1.684 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.684 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.685 * [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))) 1.685 * [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))) 1.685 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.685 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.686 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.686 * [backup-simplify]: Simplify (+ 0) into 0 1.687 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.687 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.688 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.688 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.688 * [backup-simplify]: Simplify (- 0) into 0 1.689 * [backup-simplify]: Simplify (+ 0 0) into 0 1.689 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.690 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.690 * [backup-simplify]: 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 1.691 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.691 * [backup-simplify]: Simplify (+ 0 0) into 0 1.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.692 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 1.692 * [taylor]: Taking taylor expansion of 1/2 in J 1.692 * [backup-simplify]: Simplify 1/2 into 1/2 1.692 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 1.692 * [taylor]: Taking taylor expansion of J in J 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify 1 into 1 1.692 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.692 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.692 * [taylor]: Taking taylor expansion of -1/2 in J 1.692 * [backup-simplify]: Simplify -1/2 into -1/2 1.692 * [taylor]: Taking taylor expansion of K in J 1.692 * [backup-simplify]: Simplify K into K 1.692 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.692 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.692 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.692 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.692 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.693 * [backup-simplify]: Simplify (- 0) into 0 1.693 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.693 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 1.693 * [taylor]: Taking taylor expansion of 0 in J 1.693 * [backup-simplify]: Simplify 0 into 0 1.693 * [taylor]: Taking taylor expansion of 0 in K 1.693 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 1.693 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 1.693 * [taylor]: Taking taylor expansion of 1/2 in K 1.693 * [backup-simplify]: Simplify 1/2 into 1/2 1.693 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.693 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.693 * [taylor]: Taking taylor expansion of -1/2 in K 1.693 * [backup-simplify]: Simplify -1/2 into -1/2 1.693 * [taylor]: Taking taylor expansion of K in K 1.693 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify 1 into 1 1.694 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.694 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.694 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 1.694 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 1.695 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.696 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.697 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.697 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.698 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.699 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.699 * [backup-simplify]: Simplify (- 0) into 0 1.699 * [backup-simplify]: Simplify (+ 0 0) into 0 1.700 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.701 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 1.701 * [backup-simplify]: 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 1.702 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 1.702 * [backup-simplify]: Simplify (+ 1 0) into 1 1.703 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 1.703 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.703 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.703 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.703 * [taylor]: Taking taylor expansion of -1/2 in J 1.703 * [backup-simplify]: Simplify -1/2 into -1/2 1.703 * [taylor]: Taking taylor expansion of K in J 1.704 * [backup-simplify]: Simplify K into K 1.704 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.704 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.704 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.704 * [taylor]: Taking taylor expansion of J in J 1.704 * [backup-simplify]: Simplify 0 into 0 1.704 * [backup-simplify]: Simplify 1 into 1 1.704 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.704 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.704 * [backup-simplify]: Simplify (- 0) into 0 1.704 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.704 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.705 * [backup-simplify]: Simplify (+ 0) into 0 1.705 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.706 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.706 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.707 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.707 * [backup-simplify]: Simplify (- 0) into 0 1.707 * [backup-simplify]: Simplify (+ 0 0) into 0 1.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 1.708 * [taylor]: Taking taylor expansion of 0 in K 1.708 * [backup-simplify]: Simplify 0 into 0 1.708 * [backup-simplify]: Simplify 0 into 0 1.708 * [taylor]: Taking taylor expansion of 0 in K 1.708 * [backup-simplify]: Simplify 0 into 0 1.708 * [backup-simplify]: Simplify 0 into 0 1.708 * [backup-simplify]: Simplify (+ 0) into 0 1.709 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.709 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.709 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.710 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.710 * [backup-simplify]: Simplify (- 0) into 0 1.710 * [backup-simplify]: Simplify (+ 0 0) into 0 1.710 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.711 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 1.711 * [taylor]: Taking taylor expansion of 0 in K 1.711 * [backup-simplify]: Simplify 0 into 0 1.711 * [backup-simplify]: Simplify 0 into 0 1.711 * [backup-simplify]: Simplify 0 into 0 1.711 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.711 * [backup-simplify]: Simplify 0 into 0 1.711 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.712 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.713 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.713 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.714 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.714 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.715 * [backup-simplify]: Simplify (- 0) into 0 1.715 * [backup-simplify]: Simplify (+ 0 0) into 0 1.715 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 1.716 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.716 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.717 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.717 * [backup-simplify]: Simplify (+ 0 0) into 0 1.717 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 1.718 * [taylor]: Taking taylor expansion of 0 in J 1.718 * [backup-simplify]: Simplify 0 into 0 1.718 * [taylor]: Taking taylor expansion of 0 in K 1.718 * [backup-simplify]: Simplify 0 into 0 1.718 * [backup-simplify]: Simplify 0 into 0 1.718 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 1.718 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.718 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) 1.718 * [approximate]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in (U J K) around 0 1.718 * [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 1.718 * [taylor]: Taking taylor expansion of -2 in K 1.718 * [backup-simplify]: Simplify -2 into -2 1.718 * [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 1.718 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.718 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.718 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.718 * [taylor]: Taking taylor expansion of 1/2 in K 1.718 * [backup-simplify]: Simplify 1/2 into 1/2 1.718 * [taylor]: Taking taylor expansion of K in K 1.718 * [backup-simplify]: Simplify 0 into 0 1.718 * [backup-simplify]: Simplify 1 into 1 1.719 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.719 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.719 * [taylor]: Taking taylor expansion of J in K 1.719 * [backup-simplify]: Simplify J into J 1.719 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 1.719 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 1.719 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 1.719 * [taylor]: Taking taylor expansion of 1/4 in K 1.719 * [backup-simplify]: Simplify 1/4 into 1/4 1.719 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.719 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.719 * [taylor]: Taking taylor expansion of U in K 1.719 * [backup-simplify]: Simplify U into U 1.719 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.719 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.719 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.719 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.719 * [taylor]: Taking taylor expansion of 1/2 in K 1.719 * [backup-simplify]: Simplify 1/2 into 1/2 1.719 * [taylor]: Taking taylor expansion of K in K 1.719 * [backup-simplify]: Simplify 0 into 0 1.719 * [backup-simplify]: Simplify 1 into 1 1.720 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.720 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.720 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.720 * [taylor]: Taking taylor expansion of J in K 1.720 * [backup-simplify]: Simplify J into J 1.720 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.720 * [backup-simplify]: Simplify (* 1 1) into 1 1.721 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.721 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.721 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 1.721 * [taylor]: Taking taylor expansion of 1 in K 1.721 * [backup-simplify]: Simplify 1 into 1 1.721 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 1.721 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1.721 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 1.721 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.721 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.721 * [backup-simplify]: Simplify (+ 0) into 0 1.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 1.722 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 1.723 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 1.723 * [backup-simplify]: Simplify (+ 0 0) into 0 1.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 1.723 * [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 1.723 * [taylor]: Taking taylor expansion of -2 in J 1.723 * [backup-simplify]: Simplify -2 into -2 1.723 * [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 1.723 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.723 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.723 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.723 * [taylor]: Taking taylor expansion of 1/2 in J 1.723 * [backup-simplify]: Simplify 1/2 into 1/2 1.723 * [taylor]: Taking taylor expansion of K in J 1.723 * [backup-simplify]: Simplify K into K 1.723 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.723 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.723 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.723 * [taylor]: Taking taylor expansion of J in J 1.723 * [backup-simplify]: Simplify 0 into 0 1.723 * [backup-simplify]: Simplify 1 into 1 1.723 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 1.723 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 1.723 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 1.723 * [taylor]: Taking taylor expansion of 1/4 in J 1.723 * [backup-simplify]: Simplify 1/4 into 1/4 1.723 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 1.723 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.723 * [taylor]: Taking taylor expansion of U in J 1.724 * [backup-simplify]: Simplify U into U 1.724 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 1.724 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 1.724 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.724 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.724 * [taylor]: Taking taylor expansion of 1/2 in J 1.724 * [backup-simplify]: Simplify 1/2 into 1/2 1.724 * [taylor]: Taking taylor expansion of K in J 1.724 * [backup-simplify]: Simplify K into K 1.724 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.724 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.724 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.724 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.724 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.726 * [backup-simplify]: Simplify (- 0) into 0 1.726 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.726 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.726 * [taylor]: Taking taylor expansion of J in J 1.726 * [backup-simplify]: Simplify 0 into 0 1.726 * [backup-simplify]: Simplify 1 into 1 1.726 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.726 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.727 * [backup-simplify]: Simplify (* 1 1) into 1 1.727 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 1.727 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 1.727 * [taylor]: Taking taylor expansion of 1 in J 1.727 * [backup-simplify]: Simplify 1 into 1 1.727 * [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))) 1.727 * [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))) 1.727 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 1.727 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.728 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.728 * [backup-simplify]: Simplify (+ 0) into 0 1.728 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.729 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.729 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.729 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.730 * [backup-simplify]: Simplify (- 0) into 0 1.730 * [backup-simplify]: Simplify (+ 0 0) into 0 1.730 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.730 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 1.731 * [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 1.731 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 1.731 * [backup-simplify]: Simplify (+ 0 0) into 0 1.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 1.731 * [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 1.731 * [taylor]: Taking taylor expansion of -2 in U 1.731 * [backup-simplify]: Simplify -2 into -2 1.731 * [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 1.731 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.731 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.732 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.732 * [taylor]: Taking taylor expansion of 1/2 in U 1.732 * [backup-simplify]: Simplify 1/2 into 1/2 1.732 * [taylor]: Taking taylor expansion of K in U 1.732 * [backup-simplify]: Simplify K into K 1.732 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.732 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.732 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.732 * [taylor]: Taking taylor expansion of J in U 1.732 * [backup-simplify]: Simplify J into J 1.732 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.732 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.732 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.732 * [taylor]: Taking taylor expansion of 1/4 in U 1.732 * [backup-simplify]: Simplify 1/4 into 1/4 1.732 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.732 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.732 * [taylor]: Taking taylor expansion of U in U 1.732 * [backup-simplify]: Simplify 0 into 0 1.732 * [backup-simplify]: Simplify 1 into 1 1.732 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.732 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.732 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.732 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.732 * [taylor]: Taking taylor expansion of 1/2 in U 1.732 * [backup-simplify]: Simplify 1/2 into 1/2 1.732 * [taylor]: Taking taylor expansion of K in U 1.732 * [backup-simplify]: Simplify K into K 1.732 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.732 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.732 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.732 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.732 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.732 * [backup-simplify]: Simplify (- 0) into 0 1.733 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.733 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.733 * [taylor]: Taking taylor expansion of J in U 1.733 * [backup-simplify]: Simplify J into J 1.733 * [backup-simplify]: Simplify (* 1 1) into 1 1.733 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.733 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.733 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.733 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.733 * [taylor]: Taking taylor expansion of 1 in U 1.733 * [backup-simplify]: Simplify 1 into 1 1.733 * [backup-simplify]: Simplify (+ 0 1) into 1 1.734 * [backup-simplify]: Simplify (sqrt 1) into 1 1.734 * [backup-simplify]: Simplify (+ 0 0) into 0 1.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.734 * [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 1.734 * [taylor]: Taking taylor expansion of -2 in U 1.734 * [backup-simplify]: Simplify -2 into -2 1.734 * [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 1.734 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.734 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.734 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.735 * [taylor]: Taking taylor expansion of 1/2 in U 1.735 * [backup-simplify]: Simplify 1/2 into 1/2 1.735 * [taylor]: Taking taylor expansion of K in U 1.735 * [backup-simplify]: Simplify K into K 1.735 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.735 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.735 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.735 * [taylor]: Taking taylor expansion of J in U 1.735 * [backup-simplify]: Simplify J into J 1.735 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.735 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.735 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.735 * [taylor]: Taking taylor expansion of 1/4 in U 1.735 * [backup-simplify]: Simplify 1/4 into 1/4 1.735 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.735 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.735 * [taylor]: Taking taylor expansion of U in U 1.735 * [backup-simplify]: Simplify 0 into 0 1.735 * [backup-simplify]: Simplify 1 into 1 1.735 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.735 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.735 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.735 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.735 * [taylor]: Taking taylor expansion of 1/2 in U 1.735 * [backup-simplify]: Simplify 1/2 into 1/2 1.735 * [taylor]: Taking taylor expansion of K in U 1.735 * [backup-simplify]: Simplify K into K 1.735 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.735 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.735 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.735 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.735 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.735 * [backup-simplify]: Simplify (- 0) into 0 1.735 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.736 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.736 * [taylor]: Taking taylor expansion of J in U 1.736 * [backup-simplify]: Simplify J into J 1.736 * [backup-simplify]: Simplify (* 1 1) into 1 1.736 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.736 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.736 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.736 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.736 * [taylor]: Taking taylor expansion of 1 in U 1.736 * [backup-simplify]: Simplify 1 into 1 1.736 * [backup-simplify]: Simplify (+ 0 1) into 1 1.737 * [backup-simplify]: Simplify (sqrt 1) into 1 1.737 * [backup-simplify]: Simplify (+ 0 0) into 0 1.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.737 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.738 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.738 * [backup-simplify]: Simplify (- 0) into 0 1.738 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.738 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 1.738 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J) 1.738 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 1.738 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 1.738 * [taylor]: Taking taylor expansion of -2 in J 1.738 * [backup-simplify]: Simplify -2 into -2 1.738 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.738 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.738 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.738 * [taylor]: Taking taylor expansion of 1/2 in J 1.738 * [backup-simplify]: Simplify 1/2 into 1/2 1.738 * [taylor]: Taking taylor expansion of K in J 1.738 * [backup-simplify]: Simplify K into K 1.738 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.738 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.738 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.738 * [taylor]: Taking taylor expansion of J in J 1.738 * [backup-simplify]: Simplify 0 into 0 1.738 * [backup-simplify]: Simplify 1 into 1 1.739 * [backup-simplify]: Simplify (+ 0) into 0 1.739 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.739 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.740 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.740 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.740 * [backup-simplify]: Simplify (- 0) into 0 1.741 * [backup-simplify]: Simplify (+ 0 0) into 0 1.741 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 1.741 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0 1.741 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 1.741 * [taylor]: Taking taylor expansion of 0 in J 1.742 * [backup-simplify]: Simplify 0 into 0 1.742 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.742 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.742 * [backup-simplify]: Simplify (- 0) into 0 1.742 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.742 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 1.742 * [backup-simplify]: Simplify (* -2 0) into 0 1.742 * [taylor]: Taking taylor expansion of 0 in K 1.742 * [backup-simplify]: Simplify 0 into 0 1.742 * [backup-simplify]: Simplify 0 into 0 1.742 * [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))) 1.743 * [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)))) 1.743 * [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))) 1.744 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.744 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.745 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.745 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.746 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.746 * [backup-simplify]: Simplify (- 0) into 0 1.746 * [backup-simplify]: Simplify (+ 0 0) into 0 1.747 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 1.747 * [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))) 1.748 * [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)))) 1.748 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J 1.748 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J 1.748 * [taylor]: Taking taylor expansion of 1/4 in J 1.748 * [backup-simplify]: Simplify 1/4 into 1/4 1.748 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J 1.748 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.748 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.748 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.748 * [taylor]: Taking taylor expansion of 1/2 in J 1.748 * [backup-simplify]: Simplify 1/2 into 1/2 1.748 * [taylor]: Taking taylor expansion of K in J 1.748 * [backup-simplify]: Simplify K into K 1.748 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.748 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.748 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.748 * [taylor]: Taking taylor expansion of J in J 1.748 * [backup-simplify]: Simplify 0 into 0 1.748 * [backup-simplify]: Simplify 1 into 1 1.748 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.748 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.748 * [backup-simplify]: Simplify (- 0) into 0 1.748 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.748 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 1.749 * [backup-simplify]: Simplify (+ 0) into 0 1.749 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.749 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.750 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.750 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.750 * [backup-simplify]: Simplify (- 0) into 0 1.751 * [backup-simplify]: Simplify (+ 0 0) into 0 1.751 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 1.751 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 1.751 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K))) 1.751 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K))))) 1.751 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K 1.751 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K 1.751 * [taylor]: Taking taylor expansion of 1/4 in K 1.751 * [backup-simplify]: Simplify 1/4 into 1/4 1.751 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K 1.751 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.751 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.751 * [taylor]: Taking taylor expansion of 1/2 in K 1.751 * [backup-simplify]: Simplify 1/2 into 1/2 1.751 * [taylor]: Taking taylor expansion of K in K 1.751 * [backup-simplify]: Simplify 0 into 0 1.751 * [backup-simplify]: Simplify 1 into 1 1.752 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.752 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.752 * [backup-simplify]: Simplify (/ 1 1) into 1 1.753 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 1.753 * [backup-simplify]: Simplify (- 1/4) into -1/4 1.753 * [backup-simplify]: Simplify -1/4 into -1/4 1.753 * [taylor]: Taking taylor expansion of 0 in K 1.753 * [backup-simplify]: Simplify 0 into 0 1.753 * [backup-simplify]: Simplify 0 into 0 1.753 * [backup-simplify]: Simplify (+ 0) into 0 1.753 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.754 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.754 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.755 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.755 * [backup-simplify]: Simplify (- 0) into 0 1.755 * [backup-simplify]: Simplify (+ 0 0) into 0 1.755 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 1.756 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 1.756 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 1.756 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 1.756 * [taylor]: Taking taylor expansion of 2 in K 1.756 * [backup-simplify]: Simplify 2 into 2 1.756 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.756 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.756 * [taylor]: Taking taylor expansion of 1/2 in K 1.756 * [backup-simplify]: Simplify 1/2 into 1/2 1.756 * [taylor]: Taking taylor expansion of K in K 1.756 * [backup-simplify]: Simplify 0 into 0 1.756 * [backup-simplify]: Simplify 1 into 1 1.756 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.756 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.757 * [backup-simplify]: Simplify (* 2 1) into 2 1.757 * [backup-simplify]: Simplify (- 2) into -2 1.757 * [backup-simplify]: Simplify -2 into -2 1.757 * [backup-simplify]: Simplify 0 into 0 1.758 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.758 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.758 * [backup-simplify]: Simplify (+ 0) into 0 1.758 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.758 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.759 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.759 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.759 * [backup-simplify]: Simplify (- 0) into 0 1.760 * [backup-simplify]: Simplify (+ 0 0) into 0 1.760 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.760 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 1.760 * [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 1.761 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 1.761 * [backup-simplify]: Simplify (+ 0 0) into 0 1.761 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 1.762 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.762 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.763 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 1.765 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.765 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.766 * [backup-simplify]: Simplify (- 0) into 0 1.766 * [backup-simplify]: Simplify (+ 0 0) into 0 1.767 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.768 * [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 1.769 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 1.769 * [taylor]: Taking taylor expansion of 0 in J 1.769 * [backup-simplify]: Simplify 0 into 0 1.770 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.771 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.771 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.772 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.772 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.772 * [backup-simplify]: Simplify (- 0) into 0 1.773 * [backup-simplify]: Simplify (+ 0 0) into 0 1.773 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.773 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 1.773 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 1.774 * [backup-simplify]: Simplify (- 0) into 0 1.774 * [taylor]: Taking taylor expansion of 0 in K 1.774 * [backup-simplify]: Simplify 0 into 0 1.774 * [backup-simplify]: Simplify 0 into 0 1.774 * [taylor]: Taking taylor expansion of 0 in K 1.774 * [backup-simplify]: Simplify 0 into 0 1.774 * [backup-simplify]: Simplify 0 into 0 1.774 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.775 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.775 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.776 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.776 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.776 * [backup-simplify]: Simplify (- 0) into 0 1.777 * [backup-simplify]: Simplify (+ 0 0) into 0 1.777 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.778 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 1.778 * [taylor]: Taking taylor expansion of 0 in K 1.778 * [backup-simplify]: Simplify 0 into 0 1.778 * [backup-simplify]: Simplify 0 into 0 1.778 * [backup-simplify]: Simplify (+ 0) into 0 1.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.779 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 1.779 * [backup-simplify]: Simplify (- 0) into 0 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 1.780 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ (/ 1 U) (* (+ (/ 1 J) (/ 1 J)) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (+ (/ 1 J) (/ 1 J)) (cos (/ (/ 1 K) 2))))) 1)) (* (cos (/ (/ 1 K) 2)) (* -2 (/ 1 J)))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 1.780 * [approximate]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in (U J K) around 0 1.780 * [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 1.780 * [taylor]: Taking taylor expansion of -2 in K 1.780 * [backup-simplify]: Simplify -2 into -2 1.780 * [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 1.780 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 1.780 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 1.780 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 1.780 * [taylor]: Taking taylor expansion of 1/4 in K 1.780 * [backup-simplify]: Simplify 1/4 into 1/4 1.780 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 1.780 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.780 * [taylor]: Taking taylor expansion of J in K 1.780 * [backup-simplify]: Simplify J into J 1.780 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 1.780 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.780 * [taylor]: Taking taylor expansion of U in K 1.780 * [backup-simplify]: Simplify U into U 1.780 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 1.780 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.780 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.780 * [taylor]: Taking taylor expansion of 1/2 in K 1.780 * [backup-simplify]: Simplify 1/2 into 1/2 1.780 * [taylor]: Taking taylor expansion of K in K 1.780 * [backup-simplify]: Simplify 0 into 0 1.780 * [backup-simplify]: Simplify 1 into 1 1.780 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.781 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.781 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.781 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.781 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.781 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.781 * [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))) 1.781 * [taylor]: Taking taylor expansion of 1 in K 1.781 * [backup-simplify]: Simplify 1 into 1 1.781 * [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)))) 1.781 * [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) 1.782 * [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)) 1.782 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.782 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.782 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.782 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.782 * [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 1.783 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.783 * [backup-simplify]: Simplify (+ 0 0) into 0 1.783 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 1.783 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.783 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.783 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.783 * [taylor]: Taking taylor expansion of 1/2 in K 1.783 * [backup-simplify]: Simplify 1/2 into 1/2 1.783 * [taylor]: Taking taylor expansion of K in K 1.783 * [backup-simplify]: Simplify 0 into 0 1.783 * [backup-simplify]: Simplify 1 into 1 1.784 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.784 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.784 * [taylor]: Taking taylor expansion of J in K 1.784 * [backup-simplify]: Simplify J into J 1.784 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.784 * [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 1.784 * [taylor]: Taking taylor expansion of -2 in J 1.784 * [backup-simplify]: Simplify -2 into -2 1.784 * [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 1.784 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 1.784 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 1.784 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 1.784 * [taylor]: Taking taylor expansion of 1/4 in J 1.784 * [backup-simplify]: Simplify 1/4 into 1/4 1.784 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 1.784 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.784 * [taylor]: Taking taylor expansion of J in J 1.784 * [backup-simplify]: Simplify 0 into 0 1.784 * [backup-simplify]: Simplify 1 into 1 1.784 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 1.784 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.784 * [taylor]: Taking taylor expansion of U in J 1.784 * [backup-simplify]: Simplify U into U 1.784 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.784 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.784 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.784 * [taylor]: Taking taylor expansion of 1/2 in J 1.784 * [backup-simplify]: Simplify 1/2 into 1/2 1.784 * [taylor]: Taking taylor expansion of K in J 1.784 * [backup-simplify]: Simplify K into K 1.784 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.784 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.784 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.784 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.785 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.785 * [backup-simplify]: Simplify (- 0) into 0 1.785 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.785 * [backup-simplify]: Simplify (* 1 1) into 1 1.785 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.785 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.785 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.785 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 1.786 * [taylor]: Taking taylor expansion of 1 in J 1.786 * [backup-simplify]: Simplify 1 into 1 1.786 * [backup-simplify]: Simplify (+ 0 1) into 1 1.786 * [backup-simplify]: Simplify (sqrt 1) into 1 1.786 * [backup-simplify]: Simplify (+ 0 0) into 0 1.787 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.787 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.787 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.787 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.787 * [taylor]: Taking taylor expansion of 1/2 in J 1.787 * [backup-simplify]: Simplify 1/2 into 1/2 1.787 * [taylor]: Taking taylor expansion of K in J 1.787 * [backup-simplify]: Simplify K into K 1.787 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.787 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.787 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.787 * [taylor]: Taking taylor expansion of J in J 1.787 * [backup-simplify]: Simplify 0 into 0 1.787 * [backup-simplify]: Simplify 1 into 1 1.787 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.787 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.787 * [backup-simplify]: Simplify (- 0) into 0 1.787 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.787 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.787 * [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 1.788 * [taylor]: Taking taylor expansion of -2 in U 1.788 * [backup-simplify]: Simplify -2 into -2 1.788 * [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 1.788 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.788 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.788 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.788 * [taylor]: Taking taylor expansion of 1/4 in U 1.788 * [backup-simplify]: Simplify 1/4 into 1/4 1.788 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.788 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.788 * [taylor]: Taking taylor expansion of J in U 1.788 * [backup-simplify]: Simplify J into J 1.788 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.788 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.788 * [taylor]: Taking taylor expansion of U in U 1.788 * [backup-simplify]: Simplify 0 into 0 1.788 * [backup-simplify]: Simplify 1 into 1 1.788 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.788 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.788 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.788 * [taylor]: Taking taylor expansion of 1/2 in U 1.788 * [backup-simplify]: Simplify 1/2 into 1/2 1.788 * [taylor]: Taking taylor expansion of K in U 1.788 * [backup-simplify]: Simplify K into K 1.788 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.788 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.788 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.788 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.788 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.788 * [backup-simplify]: Simplify (- 0) into 0 1.788 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.788 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.789 * [backup-simplify]: Simplify (* 1 1) into 1 1.789 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.789 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.789 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.789 * [taylor]: Taking taylor expansion of 1 in U 1.789 * [backup-simplify]: Simplify 1 into 1 1.789 * [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))) 1.789 * [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))) 1.789 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.789 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.790 * [backup-simplify]: Simplify (+ 0) into 0 1.790 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.790 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.791 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.791 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.791 * [backup-simplify]: Simplify (- 0) into 0 1.792 * [backup-simplify]: Simplify (+ 0 0) into 0 1.792 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.793 * [backup-simplify]: 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 1.793 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.793 * [backup-simplify]: Simplify (+ 0 0) into 0 1.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.793 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 1.793 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.793 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.793 * [taylor]: Taking taylor expansion of 1/2 in U 1.793 * [backup-simplify]: Simplify 1/2 into 1/2 1.793 * [taylor]: Taking taylor expansion of K in U 1.794 * [backup-simplify]: Simplify K into K 1.794 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.794 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.794 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.794 * [taylor]: Taking taylor expansion of J in U 1.794 * [backup-simplify]: Simplify J into J 1.794 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.794 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.794 * [backup-simplify]: Simplify (- 0) into 0 1.794 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.794 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.794 * [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 1.794 * [taylor]: Taking taylor expansion of -2 in U 1.794 * [backup-simplify]: Simplify -2 into -2 1.794 * [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 1.794 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.794 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.794 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.794 * [taylor]: Taking taylor expansion of 1/4 in U 1.794 * [backup-simplify]: Simplify 1/4 into 1/4 1.794 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.794 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.794 * [taylor]: Taking taylor expansion of J in U 1.794 * [backup-simplify]: Simplify J into J 1.794 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.794 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.794 * [taylor]: Taking taylor expansion of U in U 1.794 * [backup-simplify]: Simplify 0 into 0 1.794 * [backup-simplify]: Simplify 1 into 1 1.794 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.794 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.794 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.794 * [taylor]: Taking taylor expansion of 1/2 in U 1.795 * [backup-simplify]: Simplify 1/2 into 1/2 1.795 * [taylor]: Taking taylor expansion of K in U 1.795 * [backup-simplify]: Simplify K into K 1.795 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.795 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.795 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.795 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.795 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.795 * [backup-simplify]: Simplify (- 0) into 0 1.795 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.795 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.795 * [backup-simplify]: Simplify (* 1 1) into 1 1.795 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.796 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.796 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.796 * [taylor]: Taking taylor expansion of 1 in U 1.796 * [backup-simplify]: Simplify 1 into 1 1.796 * [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))) 1.796 * [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))) 1.796 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.796 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.796 * [backup-simplify]: Simplify (+ 0) into 0 1.797 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.797 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.797 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.798 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.798 * [backup-simplify]: Simplify (- 0) into 0 1.798 * [backup-simplify]: Simplify (+ 0 0) into 0 1.798 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.799 * [backup-simplify]: 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 1.799 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.800 * [backup-simplify]: Simplify (+ 0 0) into 0 1.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.800 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 1.800 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.800 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.800 * [taylor]: Taking taylor expansion of 1/2 in U 1.800 * [backup-simplify]: Simplify 1/2 into 1/2 1.800 * [taylor]: Taking taylor expansion of K in U 1.800 * [backup-simplify]: Simplify K into K 1.800 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.800 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.800 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.800 * [taylor]: Taking taylor expansion of J in U 1.800 * [backup-simplify]: Simplify J into J 1.800 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.800 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.801 * [backup-simplify]: Simplify (- 0) into 0 1.801 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.801 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.801 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2 1.801 * [backup-simplify]: Simplify (* -2 1/2) into -1 1.801 * [taylor]: Taking taylor expansion of -1 in J 1.801 * [backup-simplify]: Simplify -1 into -1 1.801 * [backup-simplify]: Simplify (+ 0) into 0 1.802 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.802 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.802 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.803 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.803 * [backup-simplify]: Simplify (- 0) into 0 1.803 * [backup-simplify]: Simplify (+ 0 0) into 0 1.803 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 1.803 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 1.804 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 1.804 * [taylor]: Taking taylor expansion of 0 in J 1.804 * [backup-simplify]: Simplify 0 into 0 1.804 * [taylor]: Taking taylor expansion of -1 in K 1.804 * [backup-simplify]: Simplify -1 into -1 1.804 * [backup-simplify]: Simplify -1 into -1 1.804 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.805 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.805 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.806 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.806 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.806 * [backup-simplify]: Simplify (- 0) into 0 1.806 * [backup-simplify]: Simplify (+ 0 0) into 0 1.806 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.807 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.807 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.808 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.808 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.809 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.809 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.809 * [backup-simplify]: Simplify (- 0) into 0 1.809 * [backup-simplify]: Simplify (+ 0 0) into 0 1.810 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 1.811 * [backup-simplify]: 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 1.812 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.812 * [backup-simplify]: Simplify (+ 0 1) into 1 1.813 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 1.813 * [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)) 1.814 * [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)))) 1.814 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 1.814 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 1.814 * [taylor]: Taking taylor expansion of 2 in J 1.814 * [backup-simplify]: Simplify 2 into 2 1.814 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 1.814 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.814 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.814 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.814 * [taylor]: Taking taylor expansion of 1/2 in J 1.814 * [backup-simplify]: Simplify 1/2 into 1/2 1.814 * [taylor]: Taking taylor expansion of K in J 1.814 * [backup-simplify]: Simplify K into K 1.814 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.814 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.814 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.814 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.814 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.815 * [backup-simplify]: Simplify (- 0) into 0 1.815 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.815 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.815 * [taylor]: Taking taylor expansion of J in J 1.815 * [backup-simplify]: Simplify 0 into 0 1.815 * [backup-simplify]: Simplify 1 into 1 1.815 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.815 * [backup-simplify]: Simplify (* 1 1) into 1 1.815 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 1.815 * [backup-simplify]: Simplify (+ 0) into 0 1.816 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.816 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.816 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.817 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.817 * [backup-simplify]: Simplify (- 0) into 0 1.817 * [backup-simplify]: Simplify (+ 0 0) into 0 1.817 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 1.819 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.819 * [backup-simplify]: Simplify (- 0) into 0 1.819 * [taylor]: Taking taylor expansion of 0 in K 1.819 * [backup-simplify]: Simplify 0 into 0 1.819 * [backup-simplify]: Simplify 0 into 0 1.819 * [taylor]: Taking taylor expansion of 0 in K 1.819 * [backup-simplify]: Simplify 0 into 0 1.819 * [backup-simplify]: Simplify 0 into 0 1.819 * [taylor]: Taking taylor expansion of 0 in K 1.819 * [backup-simplify]: Simplify 0 into 0 1.819 * [backup-simplify]: Simplify 0 into 0 1.819 * [backup-simplify]: Simplify 0 into 0 1.820 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.820 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.820 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.823 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.823 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.824 * [backup-simplify]: Simplify (- 0) into 0 1.824 * [backup-simplify]: Simplify (+ 0 0) into 0 1.824 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.825 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.825 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.826 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.826 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.827 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.827 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.827 * [backup-simplify]: Simplify (- 0) into 0 1.828 * [backup-simplify]: Simplify (+ 0 0) into 0 1.828 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 1.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.830 * [backup-simplify]: 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 1.831 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.831 * [backup-simplify]: Simplify (+ 0 0) into 0 1.832 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 1.832 * [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 1.833 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 1.833 * [taylor]: Taking taylor expansion of 0 in J 1.833 * [backup-simplify]: Simplify 0 into 0 1.834 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.835 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.835 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.836 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.837 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.837 * [backup-simplify]: Simplify (- 0) into 0 1.837 * [backup-simplify]: Simplify (+ 0 0) into 0 1.838 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.841 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 1.841 * [backup-simplify]: Simplify (- 0) into 0 1.841 * [taylor]: Taking taylor expansion of 0 in K 1.841 * [backup-simplify]: Simplify 0 into 0 1.841 * [backup-simplify]: Simplify 0 into 0 1.841 * [taylor]: Taking taylor expansion of 0 in K 1.841 * [backup-simplify]: Simplify 0 into 0 1.841 * [backup-simplify]: Simplify 0 into 0 1.841 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 1.842 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ (/ 1 (- U)) (* (+ (/ 1 (- J)) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (+ (/ 1 (- J)) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) 1)) (* (cos (/ (/ 1 (- K)) 2)) (* -2 (/ 1 (- J))))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 1.842 * [approximate]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in (U J K) around 0 1.842 * [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 1.842 * [taylor]: Taking taylor expansion of 2 in K 1.842 * [backup-simplify]: Simplify 2 into 2 1.842 * [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 1.842 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.842 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.842 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.842 * [taylor]: Taking taylor expansion of -1/2 in K 1.842 * [backup-simplify]: Simplify -1/2 into -1/2 1.842 * [taylor]: Taking taylor expansion of K in K 1.842 * [backup-simplify]: Simplify 0 into 0 1.842 * [backup-simplify]: Simplify 1 into 1 1.842 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.842 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.842 * [taylor]: Taking taylor expansion of J in K 1.842 * [backup-simplify]: Simplify J into J 1.842 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.842 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 1.842 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 1.842 * [taylor]: Taking taylor expansion of 1 in K 1.842 * [backup-simplify]: Simplify 1 into 1 1.842 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 1.842 * [taylor]: Taking taylor expansion of 1/4 in K 1.842 * [backup-simplify]: Simplify 1/4 into 1/4 1.842 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 1.842 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.842 * [taylor]: Taking taylor expansion of J in K 1.842 * [backup-simplify]: Simplify J into J 1.842 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 1.842 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 1.843 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.843 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.843 * [taylor]: Taking taylor expansion of -1/2 in K 1.843 * [backup-simplify]: Simplify -1/2 into -1/2 1.843 * [taylor]: Taking taylor expansion of K in K 1.843 * [backup-simplify]: Simplify 0 into 0 1.843 * [backup-simplify]: Simplify 1 into 1 1.843 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.843 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.843 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.843 * [taylor]: Taking taylor expansion of U in K 1.843 * [backup-simplify]: Simplify U into U 1.843 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.843 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.843 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.843 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.843 * [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))) 1.844 * [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)))) 1.844 * [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))))) 1.844 * [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)))))) 1.844 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.844 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.844 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.844 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 1.845 * [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 1.845 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 1.845 * [backup-simplify]: Simplify (+ 0 0) into 0 1.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 1.846 * [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 1.846 * [taylor]: Taking taylor expansion of 2 in J 1.846 * [backup-simplify]: Simplify 2 into 2 1.846 * [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 1.846 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.846 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.846 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.846 * [taylor]: Taking taylor expansion of -1/2 in J 1.846 * [backup-simplify]: Simplify -1/2 into -1/2 1.846 * [taylor]: Taking taylor expansion of K in J 1.846 * [backup-simplify]: Simplify K into K 1.846 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.846 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.846 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.846 * [taylor]: Taking taylor expansion of J in J 1.846 * [backup-simplify]: Simplify 0 into 0 1.846 * [backup-simplify]: Simplify 1 into 1 1.846 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.846 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.846 * [backup-simplify]: Simplify (- 0) into 0 1.846 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.846 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.846 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 1.846 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 1.846 * [taylor]: Taking taylor expansion of 1 in J 1.846 * [backup-simplify]: Simplify 1 into 1 1.846 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 1.846 * [taylor]: Taking taylor expansion of 1/4 in J 1.846 * [backup-simplify]: Simplify 1/4 into 1/4 1.846 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 1.846 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.847 * [taylor]: Taking taylor expansion of J in J 1.847 * [backup-simplify]: Simplify 0 into 0 1.847 * [backup-simplify]: Simplify 1 into 1 1.847 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 1.847 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.847 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.847 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.847 * [taylor]: Taking taylor expansion of -1/2 in J 1.847 * [backup-simplify]: Simplify -1/2 into -1/2 1.847 * [taylor]: Taking taylor expansion of K in J 1.847 * [backup-simplify]: Simplify K into K 1.847 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.847 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.847 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.847 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.847 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.847 * [backup-simplify]: Simplify (- 0) into 0 1.847 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.847 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.847 * [taylor]: Taking taylor expansion of U in J 1.847 * [backup-simplify]: Simplify U into U 1.847 * [backup-simplify]: Simplify (* 1 1) into 1 1.848 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.848 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.848 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.848 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 1.848 * [backup-simplify]: Simplify (+ 1 0) into 1 1.848 * [backup-simplify]: Simplify (sqrt 1) into 1 1.849 * [backup-simplify]: Simplify (+ 0 0) into 0 1.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.849 * [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 1.849 * [taylor]: Taking taylor expansion of 2 in U 1.849 * [backup-simplify]: Simplify 2 into 2 1.849 * [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 1.849 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 1.849 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.849 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.849 * [taylor]: Taking taylor expansion of -1/2 in U 1.849 * [backup-simplify]: Simplify -1/2 into -1/2 1.849 * [taylor]: Taking taylor expansion of K in U 1.849 * [backup-simplify]: Simplify K into K 1.849 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.849 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.849 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.849 * [taylor]: Taking taylor expansion of J in U 1.849 * [backup-simplify]: Simplify J into J 1.849 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.850 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.850 * [backup-simplify]: Simplify (- 0) into 0 1.850 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.850 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.850 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 1.850 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 1.850 * [taylor]: Taking taylor expansion of 1 in U 1.850 * [backup-simplify]: Simplify 1 into 1 1.850 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.850 * [taylor]: Taking taylor expansion of 1/4 in U 1.850 * [backup-simplify]: Simplify 1/4 into 1/4 1.850 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.850 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.850 * [taylor]: Taking taylor expansion of J in U 1.850 * [backup-simplify]: Simplify J into J 1.850 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.850 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.850 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.850 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.850 * [taylor]: Taking taylor expansion of -1/2 in U 1.850 * [backup-simplify]: Simplify -1/2 into -1/2 1.850 * [taylor]: Taking taylor expansion of K in U 1.850 * [backup-simplify]: Simplify K into K 1.850 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.850 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.850 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.850 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.850 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.851 * [backup-simplify]: Simplify (- 0) into 0 1.851 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.851 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.851 * [taylor]: Taking taylor expansion of U in U 1.851 * [backup-simplify]: Simplify 0 into 0 1.851 * [backup-simplify]: Simplify 1 into 1 1.851 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.851 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.851 * [backup-simplify]: Simplify (* 1 1) into 1 1.851 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.851 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.851 * [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))) 1.852 * [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))) 1.852 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.852 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.852 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.852 * [backup-simplify]: Simplify (+ 0) into 0 1.853 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.853 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.853 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.854 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.854 * [backup-simplify]: Simplify (- 0) into 0 1.854 * [backup-simplify]: Simplify (+ 0 0) into 0 1.854 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.855 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.855 * [backup-simplify]: 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 1.855 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.855 * [backup-simplify]: Simplify (+ 0 0) into 0 1.856 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.856 * [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 1.856 * [taylor]: Taking taylor expansion of 2 in U 1.856 * [backup-simplify]: Simplify 2 into 2 1.856 * [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 1.856 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 1.856 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.856 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.856 * [taylor]: Taking taylor expansion of -1/2 in U 1.856 * [backup-simplify]: Simplify -1/2 into -1/2 1.856 * [taylor]: Taking taylor expansion of K in U 1.856 * [backup-simplify]: Simplify K into K 1.856 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.856 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.856 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.856 * [taylor]: Taking taylor expansion of J in U 1.856 * [backup-simplify]: Simplify J into J 1.856 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.856 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.856 * [backup-simplify]: Simplify (- 0) into 0 1.856 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.856 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.856 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 1.856 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 1.856 * [taylor]: Taking taylor expansion of 1 in U 1.856 * [backup-simplify]: Simplify 1 into 1 1.856 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.856 * [taylor]: Taking taylor expansion of 1/4 in U 1.857 * [backup-simplify]: Simplify 1/4 into 1/4 1.857 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.857 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.857 * [taylor]: Taking taylor expansion of J in U 1.857 * [backup-simplify]: Simplify J into J 1.857 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.857 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.857 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.857 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.857 * [taylor]: Taking taylor expansion of -1/2 in U 1.857 * [backup-simplify]: Simplify -1/2 into -1/2 1.857 * [taylor]: Taking taylor expansion of K in U 1.857 * [backup-simplify]: Simplify K into K 1.857 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.857 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.857 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.857 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.857 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.857 * [backup-simplify]: Simplify (- 0) into 0 1.857 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.857 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.857 * [taylor]: Taking taylor expansion of U in U 1.857 * [backup-simplify]: Simplify 0 into 0 1.857 * [backup-simplify]: Simplify 1 into 1 1.857 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.857 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.858 * [backup-simplify]: Simplify (* 1 1) into 1 1.858 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.858 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.858 * [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))) 1.858 * [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))) 1.858 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.858 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.859 * [backup-simplify]: Simplify (+ 0) into 0 1.859 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.859 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.860 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.860 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.860 * [backup-simplify]: Simplify (- 0) into 0 1.861 * [backup-simplify]: Simplify (+ 0 0) into 0 1.861 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.861 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.861 * [backup-simplify]: 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 1.862 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.862 * [backup-simplify]: Simplify (+ 0 0) into 0 1.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.862 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2 1.863 * [backup-simplify]: Simplify (* 2 1/2) into 1 1.863 * [taylor]: Taking taylor expansion of 1 in J 1.863 * [backup-simplify]: Simplify 1 into 1 1.863 * [backup-simplify]: Simplify (+ 0) into 0 1.863 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.863 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.864 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.864 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.864 * [backup-simplify]: Simplify (- 0) into 0 1.864 * [backup-simplify]: Simplify (+ 0 0) into 0 1.865 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 1.865 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 1.865 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 1.865 * [taylor]: Taking taylor expansion of 0 in J 1.865 * [backup-simplify]: Simplify 0 into 0 1.865 * [taylor]: Taking taylor expansion of 1 in K 1.865 * [backup-simplify]: Simplify 1 into 1 1.865 * [backup-simplify]: Simplify 1 into 1 1.866 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.867 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.867 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.867 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.868 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.868 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.868 * [backup-simplify]: Simplify (- 0) into 0 1.868 * [backup-simplify]: Simplify (+ 0 0) into 0 1.869 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.869 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 1.869 * [backup-simplify]: 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 1.870 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 1.870 * [backup-simplify]: Simplify (+ 1 0) into 1 1.871 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 1.872 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.872 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.873 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.873 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.874 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.874 * [backup-simplify]: Simplify (- 0) into 0 1.875 * [backup-simplify]: Simplify (+ 0 0) into 0 1.875 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.876 * [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)) 1.876 * [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))) 1.877 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 1.877 * [taylor]: Taking taylor expansion of 2 in J 1.877 * [backup-simplify]: Simplify 2 into 2 1.877 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 1.877 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.877 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.877 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.877 * [taylor]: Taking taylor expansion of -1/2 in J 1.877 * [backup-simplify]: Simplify -1/2 into -1/2 1.877 * [taylor]: Taking taylor expansion of K in J 1.877 * [backup-simplify]: Simplify K into K 1.877 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.877 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.877 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.877 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.877 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.878 * [backup-simplify]: Simplify (- 0) into 0 1.878 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.878 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.878 * [taylor]: Taking taylor expansion of J in J 1.878 * [backup-simplify]: Simplify 0 into 0 1.878 * [backup-simplify]: Simplify 1 into 1 1.878 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.878 * [backup-simplify]: Simplify (* 1 1) into 1 1.879 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.879 * [backup-simplify]: Simplify (+ 0) into 0 1.880 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.880 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.881 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.881 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.881 * [backup-simplify]: Simplify (- 0) into 0 1.882 * [backup-simplify]: Simplify (+ 0 0) into 0 1.882 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 1.884 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 1.884 * [taylor]: Taking taylor expansion of 0 in K 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [taylor]: Taking taylor expansion of 0 in K 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [taylor]: Taking taylor expansion of 0 in K 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify 0 into 0 1.885 * [backup-simplify]: Simplify 0 into 0 1.885 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.887 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.888 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.888 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.890 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.891 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.891 * [backup-simplify]: Simplify (- 0) into 0 1.891 * [backup-simplify]: Simplify (+ 0 0) into 0 1.892 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 1.893 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.894 * [backup-simplify]: 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 1.895 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.895 * [backup-simplify]: Simplify (+ 0 0) into 0 1.896 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 1.896 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.897 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.898 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.899 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.900 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.900 * [backup-simplify]: Simplify (- 0) into 0 1.900 * [backup-simplify]: Simplify (+ 0 0) into 0 1.901 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.901 * [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 1.903 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 1.903 * [taylor]: Taking taylor expansion of 0 in J 1.903 * [backup-simplify]: Simplify 0 into 0 1.904 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.904 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.904 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.905 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.906 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.906 * [backup-simplify]: Simplify (- 0) into 0 1.907 * [backup-simplify]: Simplify (+ 0 0) into 0 1.907 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.909 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 1.909 * [taylor]: Taking taylor expansion of 0 in K 1.909 * [backup-simplify]: Simplify 0 into 0 1.909 * [backup-simplify]: Simplify 0 into 0 1.909 * [taylor]: Taking taylor expansion of 0 in K 1.909 * [backup-simplify]: Simplify 0 into 0 1.909 * [backup-simplify]: Simplify 0 into 0 1.909 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 1.909 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.909 * [backup-simplify]: Simplify (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1.910 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in (U J K) around 0 1.910 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 1.910 * [taylor]: Taking taylor expansion of 1/4 in K 1.910 * [backup-simplify]: Simplify 1/4 into 1/4 1.910 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.910 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.910 * [taylor]: Taking taylor expansion of U in K 1.910 * [backup-simplify]: Simplify U into U 1.910 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.910 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.910 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.910 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.910 * [taylor]: Taking taylor expansion of 1/2 in K 1.910 * [backup-simplify]: Simplify 1/2 into 1/2 1.910 * [taylor]: Taking taylor expansion of K in K 1.910 * [backup-simplify]: Simplify 0 into 0 1.910 * [backup-simplify]: Simplify 1 into 1 1.910 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.910 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.911 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.911 * [taylor]: Taking taylor expansion of J in K 1.911 * [backup-simplify]: Simplify J into J 1.911 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.911 * [backup-simplify]: Simplify (* 1 1) into 1 1.911 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.911 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.911 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 1.911 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 1.911 * [taylor]: Taking taylor expansion of 1/4 in J 1.911 * [backup-simplify]: Simplify 1/4 into 1/4 1.911 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 1.911 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.911 * [taylor]: Taking taylor expansion of U in J 1.911 * [backup-simplify]: Simplify U into U 1.911 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 1.911 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 1.911 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.911 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.911 * [taylor]: Taking taylor expansion of 1/2 in J 1.911 * [backup-simplify]: Simplify 1/2 into 1/2 1.911 * [taylor]: Taking taylor expansion of K in J 1.911 * [backup-simplify]: Simplify K into K 1.911 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.911 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.911 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.911 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.911 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.912 * [backup-simplify]: Simplify (- 0) into 0 1.912 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.912 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.912 * [taylor]: Taking taylor expansion of J in J 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify 1 into 1 1.912 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.912 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.912 * [backup-simplify]: Simplify (* 1 1) into 1 1.912 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 1.912 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 1.912 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.912 * [taylor]: Taking taylor expansion of 1/4 in U 1.912 * [backup-simplify]: Simplify 1/4 into 1/4 1.912 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.912 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.912 * [taylor]: Taking taylor expansion of U in U 1.912 * [backup-simplify]: Simplify 0 into 0 1.913 * [backup-simplify]: Simplify 1 into 1 1.913 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.913 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.913 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.913 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.913 * [taylor]: Taking taylor expansion of 1/2 in U 1.913 * [backup-simplify]: Simplify 1/2 into 1/2 1.913 * [taylor]: Taking taylor expansion of K in U 1.913 * [backup-simplify]: Simplify K into K 1.913 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.913 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.913 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.913 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.913 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.913 * [backup-simplify]: Simplify (- 0) into 0 1.913 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.913 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.913 * [taylor]: Taking taylor expansion of J in U 1.913 * [backup-simplify]: Simplify J into J 1.913 * [backup-simplify]: Simplify (* 1 1) into 1 1.914 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.914 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.914 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.914 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.914 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.914 * [taylor]: Taking taylor expansion of 1/4 in U 1.914 * [backup-simplify]: Simplify 1/4 into 1/4 1.914 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.914 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.914 * [taylor]: Taking taylor expansion of U in U 1.914 * [backup-simplify]: Simplify 0 into 0 1.914 * [backup-simplify]: Simplify 1 into 1 1.914 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.914 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.914 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.914 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.914 * [taylor]: Taking taylor expansion of 1/2 in U 1.914 * [backup-simplify]: Simplify 1/2 into 1/2 1.914 * [taylor]: Taking taylor expansion of K in U 1.914 * [backup-simplify]: Simplify K into K 1.914 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.914 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.914 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.914 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.914 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.914 * [backup-simplify]: Simplify (- 0) into 0 1.915 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.915 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.915 * [taylor]: Taking taylor expansion of J in U 1.915 * [backup-simplify]: Simplify J into J 1.915 * [backup-simplify]: Simplify (* 1 1) into 1 1.915 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.915 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.915 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.915 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.915 * [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))) 1.915 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 1.915 * [taylor]: Taking taylor expansion of 1/4 in J 1.915 * [backup-simplify]: Simplify 1/4 into 1/4 1.915 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 1.915 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 1.915 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.915 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.915 * [taylor]: Taking taylor expansion of 1/2 in J 1.915 * [backup-simplify]: Simplify 1/2 into 1/2 1.915 * [taylor]: Taking taylor expansion of K in J 1.915 * [backup-simplify]: Simplify K into K 1.916 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.916 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.916 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.916 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.916 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.916 * [backup-simplify]: Simplify (- 0) into 0 1.916 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.916 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.916 * [taylor]: Taking taylor expansion of J in J 1.916 * [backup-simplify]: Simplify 0 into 0 1.916 * [backup-simplify]: Simplify 1 into 1 1.916 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.916 * [backup-simplify]: Simplify (* 1 1) into 1 1.916 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 1.917 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (* 1/2 K)) 2)) into (/ 1/4 (pow (cos (* 1/2 K)) 2)) 1.917 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (* 1/2 K)) 2)) in K 1.917 * [taylor]: Taking taylor expansion of 1/4 in K 1.917 * [backup-simplify]: Simplify 1/4 into 1/4 1.917 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.917 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.917 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.917 * [taylor]: Taking taylor expansion of 1/2 in K 1.917 * [backup-simplify]: Simplify 1/2 into 1/2 1.917 * [taylor]: Taking taylor expansion of K in K 1.917 * [backup-simplify]: Simplify 0 into 0 1.917 * [backup-simplify]: Simplify 1 into 1 1.917 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.917 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.918 * [backup-simplify]: Simplify (* 1 1) into 1 1.918 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 1.918 * [backup-simplify]: Simplify 1/4 into 1/4 1.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.918 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.919 * [backup-simplify]: Simplify (+ 0) into 0 1.919 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.919 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.920 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.920 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.920 * [backup-simplify]: Simplify (- 0) into 0 1.920 * [backup-simplify]: Simplify (+ 0 0) into 0 1.921 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.921 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 1.921 * [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 1.921 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 1.921 * [taylor]: Taking taylor expansion of 0 in J 1.921 * [backup-simplify]: Simplify 0 into 0 1.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.922 * [backup-simplify]: Simplify (+ 0) into 0 1.922 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.923 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.923 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.923 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.924 * [backup-simplify]: Simplify (- 0) into 0 1.924 * [backup-simplify]: Simplify (+ 0 0) into 0 1.924 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.924 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 1.925 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 1.925 * [taylor]: Taking taylor expansion of 0 in K 1.925 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify (+ 0) into 0 1.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 1.926 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.927 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.927 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.928 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.928 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.930 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.931 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.931 * [backup-simplify]: Simplify (- 0) into 0 1.931 * [backup-simplify]: Simplify (+ 0 0) into 0 1.932 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 1.932 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0 1.933 * [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 1.933 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 1.933 * [taylor]: Taking taylor expansion of 0 in J 1.933 * [backup-simplify]: Simplify 0 into 0 1.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.934 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.935 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.935 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.936 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.936 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.936 * [backup-simplify]: Simplify (- 0) into 0 1.936 * [backup-simplify]: Simplify (+ 0 0) into 0 1.937 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 1.937 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 1.937 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 1.937 * [taylor]: Taking taylor expansion of 0 in K 1.937 * [backup-simplify]: Simplify 0 into 0 1.938 * [backup-simplify]: Simplify 0 into 0 1.938 * [backup-simplify]: Simplify 0 into 0 1.938 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 1.939 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4 1.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ -1/4 1)) (* 0 (/ 0 1)))) into 1/16 1.940 * [backup-simplify]: Simplify 1/16 into 1/16 1.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.942 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.942 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.943 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.944 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 1.946 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.947 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.947 * [backup-simplify]: Simplify (- 0) into 0 1.947 * [backup-simplify]: Simplify (+ 0 0) into 0 1.948 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 1.949 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0 1.950 * [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 1.952 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) into 0 1.952 * [taylor]: Taking taylor expansion of 0 in J 1.952 * [backup-simplify]: Simplify 0 into 0 1.952 * [taylor]: Taking taylor expansion of 0 in K 1.952 * [backup-simplify]: Simplify 0 into 0 1.952 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.954 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.955 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.956 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 1.958 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.958 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.959 * [backup-simplify]: Simplify (- 0) into 0 1.959 * [backup-simplify]: Simplify (+ 0 0) into 0 1.960 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 1.961 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.962 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 1.962 * [taylor]: Taking taylor expansion of 0 in K 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.964 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0 1.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ -1/4 1)) (* 1/16 (/ 0 1)))) into 0 1.967 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.970 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 1.972 * [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 1.973 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.975 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 1.976 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.977 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.977 * [backup-simplify]: Simplify (- 0) into 0 1.978 * [backup-simplify]: Simplify (+ 0 0) into 0 1.979 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0 1.980 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2)))))) into 0 1.981 * [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 1.983 * [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 1.983 * [taylor]: Taking taylor expansion of 0 in J 1.983 * [backup-simplify]: Simplify 0 into 0 1.983 * [taylor]: Taking taylor expansion of 0 in K 1.983 * [backup-simplify]: Simplify 0 into 0 1.983 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify (+ (* 1/16 (pow (* K (* (/ 1 J) U)) 2)) (* 1/4 (pow (* 1 (* (/ 1 J) U)) 2))) into (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))) 1.984 * [backup-simplify]: Simplify (* (/ (/ 1 U) (* (+ (/ 1 J) (/ 1 J)) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (+ (/ 1 J) (/ 1 J)) (cos (/ (/ 1 K) 2))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1.984 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in (U J K) around 0 1.984 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 1.984 * [taylor]: Taking taylor expansion of 1/4 in K 1.984 * [backup-simplify]: Simplify 1/4 into 1/4 1.984 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 1.985 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.985 * [taylor]: Taking taylor expansion of J in K 1.985 * [backup-simplify]: Simplify J into J 1.985 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 1.985 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.985 * [taylor]: Taking taylor expansion of U in K 1.985 * [backup-simplify]: Simplify U into U 1.985 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 1.985 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.985 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.985 * [taylor]: Taking taylor expansion of 1/2 in K 1.985 * [backup-simplify]: Simplify 1/2 into 1/2 1.985 * [taylor]: Taking taylor expansion of K in K 1.985 * [backup-simplify]: Simplify 0 into 0 1.985 * [backup-simplify]: Simplify 1 into 1 1.985 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.985 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.985 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.986 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.986 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.986 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.986 * [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))) 1.986 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 1.986 * [taylor]: Taking taylor expansion of 1/4 in J 1.986 * [backup-simplify]: Simplify 1/4 into 1/4 1.986 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 1.986 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.986 * [taylor]: Taking taylor expansion of J in J 1.986 * [backup-simplify]: Simplify 0 into 0 1.986 * [backup-simplify]: Simplify 1 into 1 1.986 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 1.986 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.986 * [taylor]: Taking taylor expansion of U in J 1.986 * [backup-simplify]: Simplify U into U 1.986 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.986 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.986 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.986 * [taylor]: Taking taylor expansion of 1/2 in J 1.987 * [backup-simplify]: Simplify 1/2 into 1/2 1.987 * [taylor]: Taking taylor expansion of K in J 1.987 * [backup-simplify]: Simplify K into K 1.987 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.987 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.987 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.987 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.987 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.987 * [backup-simplify]: Simplify (- 0) into 0 1.987 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.988 * [backup-simplify]: Simplify (* 1 1) into 1 1.988 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.988 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.988 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.988 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 1.988 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.988 * [taylor]: Taking taylor expansion of 1/4 in U 1.988 * [backup-simplify]: Simplify 1/4 into 1/4 1.988 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.988 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.988 * [taylor]: Taking taylor expansion of J in U 1.989 * [backup-simplify]: Simplify J into J 1.989 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.989 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.989 * [taylor]: Taking taylor expansion of U in U 1.989 * [backup-simplify]: Simplify 0 into 0 1.989 * [backup-simplify]: Simplify 1 into 1 1.989 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.989 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.989 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.989 * [taylor]: Taking taylor expansion of 1/2 in U 1.989 * [backup-simplify]: Simplify 1/2 into 1/2 1.989 * [taylor]: Taking taylor expansion of K in U 1.989 * [backup-simplify]: Simplify K into K 1.989 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.989 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.989 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.989 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.989 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.990 * [backup-simplify]: Simplify (- 0) into 0 1.990 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.990 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.990 * [backup-simplify]: Simplify (* 1 1) into 1 1.990 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.990 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.991 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.991 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.991 * [taylor]: Taking taylor expansion of 1/4 in U 1.991 * [backup-simplify]: Simplify 1/4 into 1/4 1.991 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.991 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.991 * [taylor]: Taking taylor expansion of J in U 1.991 * [backup-simplify]: Simplify J into J 1.991 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.991 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.991 * [taylor]: Taking taylor expansion of U in U 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify 1 into 1 1.991 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.991 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.991 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.991 * [taylor]: Taking taylor expansion of 1/2 in U 1.991 * [backup-simplify]: Simplify 1/2 into 1/2 1.991 * [taylor]: Taking taylor expansion of K in U 1.991 * [backup-simplify]: Simplify K into K 1.991 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.991 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.991 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.991 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.991 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.992 * [backup-simplify]: Simplify (- 0) into 0 1.992 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.992 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.992 * [backup-simplify]: Simplify (* 1 1) into 1 1.992 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.993 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.993 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.993 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.993 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 1.993 * [taylor]: Taking taylor expansion of 1/4 in J 1.993 * [backup-simplify]: Simplify 1/4 into 1/4 1.993 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 1.993 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.993 * [taylor]: Taking taylor expansion of J in J 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify 1 into 1 1.993 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.993 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.993 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.993 * [taylor]: Taking taylor expansion of 1/2 in J 1.993 * [backup-simplify]: Simplify 1/2 into 1/2 1.993 * [taylor]: Taking taylor expansion of K in J 1.993 * [backup-simplify]: Simplify K into K 1.993 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.993 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.994 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.994 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.994 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.994 * [backup-simplify]: Simplify (- 0) into 0 1.994 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.995 * [backup-simplify]: Simplify (* 1 1) into 1 1.995 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.995 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 1.995 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1.995 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K 1.995 * [taylor]: Taking taylor expansion of 1/4 in K 1.995 * [backup-simplify]: Simplify 1/4 into 1/4 1.995 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 1.995 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.995 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.995 * [taylor]: Taking taylor expansion of 1/2 in K 1.995 * [backup-simplify]: Simplify 1/2 into 1/2 1.995 * [taylor]: Taking taylor expansion of K in K 1.995 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify 1 into 1 1.996 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.996 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.996 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.996 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1.996 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1.996 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.997 * [backup-simplify]: Simplify (+ 0) into 0 1.997 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.997 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.998 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.999 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.999 * [backup-simplify]: Simplify (- 0) into 0 1.999 * [backup-simplify]: Simplify (+ 0 0) into 0 1.999 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 2.001 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 2.002 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 2.002 * [taylor]: Taking taylor expansion of 0 in J 2.002 * [backup-simplify]: Simplify 0 into 0 2.002 * [taylor]: Taking taylor expansion of 0 in K 2.002 * [backup-simplify]: Simplify 0 into 0 2.002 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.003 * [backup-simplify]: Simplify (+ 0) into 0 2.004 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.004 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.005 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.005 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.005 * [backup-simplify]: Simplify (- 0) into 0 2.006 * [backup-simplify]: Simplify (+ 0 0) into 0 2.006 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.006 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 2.007 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 2.007 * [taylor]: Taking taylor expansion of 0 in K 2.007 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.007 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 2.007 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.009 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.009 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.009 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.010 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.010 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.010 * [backup-simplify]: Simplify (- 0) into 0 2.010 * [backup-simplify]: Simplify (+ 0 0) into 0 2.011 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 2.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 2.012 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 2.013 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 2.013 * [taylor]: Taking taylor expansion of 0 in J 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [taylor]: Taking taylor expansion of 0 in K 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [taylor]: Taking taylor expansion of 0 in K 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.014 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.014 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.014 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.015 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.015 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.015 * [backup-simplify]: Simplify (- 0) into 0 2.016 * [backup-simplify]: Simplify (+ 0 0) into 0 2.016 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 2.016 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 2.017 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 2.017 * [taylor]: Taking taylor expansion of 0 in K 2.017 * [backup-simplify]: Simplify 0 into 0 2.017 * [backup-simplify]: Simplify 0 into 0 2.017 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)) (pow (* 1 (* (/ 1 J) (/ 1 (/ 1 U)))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 2.017 * [backup-simplify]: Simplify (* (/ (/ 1 (- U)) (* (+ (/ 1 (- J)) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (+ (/ 1 (- J)) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 2.017 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in (U J K) around 0 2.017 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 2.018 * [taylor]: Taking taylor expansion of 1/4 in K 2.018 * [backup-simplify]: Simplify 1/4 into 1/4 2.018 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 2.018 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.018 * [taylor]: Taking taylor expansion of J in K 2.018 * [backup-simplify]: Simplify J into J 2.018 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 2.018 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 2.018 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.018 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.018 * [taylor]: Taking taylor expansion of -1/2 in K 2.018 * [backup-simplify]: Simplify -1/2 into -1/2 2.018 * [taylor]: Taking taylor expansion of K in K 2.018 * [backup-simplify]: Simplify 0 into 0 2.018 * [backup-simplify]: Simplify 1 into 1 2.018 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.018 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.018 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.018 * [taylor]: Taking taylor expansion of U in K 2.018 * [backup-simplify]: Simplify U into U 2.018 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.018 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.018 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.018 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 2.018 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 2.019 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 2.019 * [taylor]: Taking taylor expansion of 1/4 in J 2.019 * [backup-simplify]: Simplify 1/4 into 1/4 2.019 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 2.019 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.019 * [taylor]: Taking taylor expansion of J in J 2.019 * [backup-simplify]: Simplify 0 into 0 2.019 * [backup-simplify]: Simplify 1 into 1 2.019 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 2.019 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 2.019 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.019 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.019 * [taylor]: Taking taylor expansion of -1/2 in J 2.019 * [backup-simplify]: Simplify -1/2 into -1/2 2.019 * [taylor]: Taking taylor expansion of K in J 2.019 * [backup-simplify]: Simplify K into K 2.019 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.019 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.019 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.019 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.019 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.019 * [backup-simplify]: Simplify (- 0) into 0 2.019 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.019 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.019 * [taylor]: Taking taylor expansion of U in J 2.019 * [backup-simplify]: Simplify U into U 2.020 * [backup-simplify]: Simplify (* 1 1) into 1 2.020 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.020 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.020 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 2.020 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 2.020 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 2.020 * [taylor]: Taking taylor expansion of 1/4 in U 2.020 * [backup-simplify]: Simplify 1/4 into 1/4 2.020 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 2.020 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.020 * [taylor]: Taking taylor expansion of J in U 2.020 * [backup-simplify]: Simplify J into J 2.020 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 2.020 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 2.020 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.020 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.020 * [taylor]: Taking taylor expansion of -1/2 in U 2.020 * [backup-simplify]: Simplify -1/2 into -1/2 2.020 * [taylor]: Taking taylor expansion of K in U 2.020 * [backup-simplify]: Simplify K into K 2.020 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.020 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.020 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.020 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.020 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.021 * [backup-simplify]: Simplify (- 0) into 0 2.021 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.021 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.021 * [taylor]: Taking taylor expansion of U in U 2.021 * [backup-simplify]: Simplify 0 into 0 2.021 * [backup-simplify]: Simplify 1 into 1 2.021 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.021 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.021 * [backup-simplify]: Simplify (* 1 1) into 1 2.021 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 2.021 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 2.021 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 2.021 * [taylor]: Taking taylor expansion of 1/4 in U 2.021 * [backup-simplify]: Simplify 1/4 into 1/4 2.021 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 2.021 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.021 * [taylor]: Taking taylor expansion of J in U 2.021 * [backup-simplify]: Simplify J into J 2.021 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 2.021 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 2.021 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.021 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.021 * [taylor]: Taking taylor expansion of -1/2 in U 2.021 * [backup-simplify]: Simplify -1/2 into -1/2 2.021 * [taylor]: Taking taylor expansion of K in U 2.021 * [backup-simplify]: Simplify K into K 2.022 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.022 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.022 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.022 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.022 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.022 * [backup-simplify]: Simplify (- 0) into 0 2.022 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.022 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.022 * [taylor]: Taking taylor expansion of U in U 2.022 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify 1 into 1 2.022 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.022 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.022 * [backup-simplify]: Simplify (* 1 1) into 1 2.023 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 2.023 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 2.023 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2.023 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 2.023 * [taylor]: Taking taylor expansion of 1/4 in J 2.023 * [backup-simplify]: Simplify 1/4 into 1/4 2.023 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 2.023 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.023 * [taylor]: Taking taylor expansion of J in J 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify 1 into 1 2.023 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 2.023 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.023 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.023 * [taylor]: Taking taylor expansion of -1/2 in J 2.023 * [backup-simplify]: Simplify -1/2 into -1/2 2.023 * [taylor]: Taking taylor expansion of K in J 2.023 * [backup-simplify]: Simplify K into K 2.023 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.023 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.023 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.023 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.023 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.023 * [backup-simplify]: Simplify (- 0) into 0 2.024 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.024 * [backup-simplify]: Simplify (* 1 1) into 1 2.024 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.024 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 2.024 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2.024 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K 2.024 * [taylor]: Taking taylor expansion of 1/4 in K 2.024 * [backup-simplify]: Simplify 1/4 into 1/4 2.024 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 2.024 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.024 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.024 * [taylor]: Taking taylor expansion of -1/2 in K 2.024 * [backup-simplify]: Simplify -1/2 into -1/2 2.024 * [taylor]: Taking taylor expansion of K in K 2.024 * [backup-simplify]: Simplify 0 into 0 2.024 * [backup-simplify]: Simplify 1 into 1 2.024 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.025 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.025 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.025 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2.025 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2.025 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.025 * [backup-simplify]: Simplify (+ 0) into 0 2.026 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.026 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.026 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.027 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.027 * [backup-simplify]: Simplify (- 0) into 0 2.027 * [backup-simplify]: Simplify (+ 0 0) into 0 2.027 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.027 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 2.028 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 2.028 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 2.028 * [taylor]: Taking taylor expansion of 0 in J 2.028 * [backup-simplify]: Simplify 0 into 0 2.028 * [taylor]: Taking taylor expansion of 0 in K 2.028 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.029 * [backup-simplify]: Simplify (+ 0) into 0 2.029 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.029 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.030 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.030 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.030 * [backup-simplify]: Simplify (- 0) into 0 2.030 * [backup-simplify]: Simplify (+ 0 0) into 0 2.031 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.031 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 2.031 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 2.031 * [taylor]: Taking taylor expansion of 0 in K 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.031 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 2.031 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.033 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.033 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.033 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.034 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.034 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.034 * [backup-simplify]: Simplify (- 0) into 0 2.035 * [backup-simplify]: Simplify (+ 0 0) into 0 2.035 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 2.035 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 2.036 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 2.036 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 2.036 * [taylor]: Taking taylor expansion of 0 in J 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [taylor]: Taking taylor expansion of 0 in K 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [taylor]: Taking taylor expansion of 0 in K 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify 0 into 0 2.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.037 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.038 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.038 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.038 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.039 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.039 * [backup-simplify]: Simplify (- 0) into 0 2.039 * [backup-simplify]: Simplify (+ 0 0) into 0 2.039 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 2.040 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 2.040 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 2.040 * [taylor]: Taking taylor expansion of 0 in K 2.040 * [backup-simplify]: Simplify 0 into 0 2.040 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)) (pow (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U))))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 2.041 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 2.041 * [backup-simplify]: Simplify (* (cos (/ K 2)) (* -2 J)) into (* -2 (* (cos (* 1/2 K)) J)) 2.041 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in (K J) around 0 2.041 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 2.041 * [taylor]: Taking taylor expansion of -2 in J 2.041 * [backup-simplify]: Simplify -2 into -2 2.041 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 2.041 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.041 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.041 * [taylor]: Taking taylor expansion of 1/2 in J 2.041 * [backup-simplify]: Simplify 1/2 into 1/2 2.041 * [taylor]: Taking taylor expansion of K in J 2.041 * [backup-simplify]: Simplify K into K 2.041 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.041 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.041 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.041 * [taylor]: Taking taylor expansion of J in J 2.041 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify 1 into 1 2.041 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 2.041 * [taylor]: Taking taylor expansion of -2 in K 2.041 * [backup-simplify]: Simplify -2 into -2 2.041 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 2.041 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.041 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.041 * [taylor]: Taking taylor expansion of 1/2 in K 2.041 * [backup-simplify]: Simplify 1/2 into 1/2 2.041 * [taylor]: Taking taylor expansion of K in K 2.041 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify 1 into 1 2.041 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.042 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.042 * [taylor]: Taking taylor expansion of J in K 2.042 * [backup-simplify]: Simplify J into J 2.042 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 2.042 * [taylor]: Taking taylor expansion of -2 in K 2.042 * [backup-simplify]: Simplify -2 into -2 2.042 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 2.042 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.042 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.042 * [taylor]: Taking taylor expansion of 1/2 in K 2.042 * [backup-simplify]: Simplify 1/2 into 1/2 2.042 * [taylor]: Taking taylor expansion of K in K 2.042 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify 1 into 1 2.042 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.043 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.043 * [taylor]: Taking taylor expansion of J in K 2.043 * [backup-simplify]: Simplify J into J 2.043 * [backup-simplify]: Simplify (* 1 J) into J 2.043 * [backup-simplify]: Simplify (* -2 J) into (* -2 J) 2.043 * [taylor]: Taking taylor expansion of (* -2 J) in J 2.043 * [taylor]: Taking taylor expansion of -2 in J 2.043 * [backup-simplify]: Simplify -2 into -2 2.043 * [taylor]: Taking taylor expansion of J in J 2.043 * [backup-simplify]: Simplify 0 into 0 2.043 * [backup-simplify]: Simplify 1 into 1 2.043 * [backup-simplify]: Simplify (* -2 0) into 0 2.043 * [backup-simplify]: Simplify 0 into 0 2.044 * [backup-simplify]: Simplify (+ 0) into 0 2.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 2.044 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0 2.044 * [taylor]: Taking taylor expansion of 0 in J 2.044 * [backup-simplify]: Simplify 0 into 0 2.044 * [backup-simplify]: Simplify 0 into 0 2.046 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2 2.046 * [backup-simplify]: Simplify -2 into -2 2.047 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 2.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 2.048 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J) 2.048 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 2.048 * [taylor]: Taking taylor expansion of 1/4 in J 2.048 * [backup-simplify]: Simplify 1/4 into 1/4 2.048 * [taylor]: Taking taylor expansion of J in J 2.048 * [backup-simplify]: Simplify 0 into 0 2.048 * [backup-simplify]: Simplify 1 into 1 2.048 * [backup-simplify]: Simplify (* 1/4 0) into 0 2.048 * [backup-simplify]: Simplify 0 into 0 2.048 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 2.049 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 2.050 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 2.052 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 2.052 * [taylor]: Taking taylor expansion of 0 in J 2.052 * [backup-simplify]: Simplify 0 into 0 2.052 * [backup-simplify]: Simplify 0 into 0 2.052 * [backup-simplify]: Simplify (+ (* 1/4 1) (* 0 0)) into 1/4 2.052 * [backup-simplify]: Simplify 1/4 into 1/4 2.052 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.053 * [backup-simplify]: Simplify 0 into 0 2.054 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.055 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 2.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (+ (* 0 0) (* 1/384 J))))) into (* 1/384 J) 2.057 * [backup-simplify]: Simplify (+ (* -2 (* 1/384 J)) (+ (* 0 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))))) into (- (* 1/192 J)) 2.057 * [taylor]: Taking taylor expansion of (- (* 1/192 J)) in J 2.057 * [taylor]: Taking taylor expansion of (* 1/192 J) in J 2.057 * [taylor]: Taking taylor expansion of 1/192 in J 2.057 * [backup-simplify]: Simplify 1/192 into 1/192 2.057 * [taylor]: Taking taylor expansion of J in J 2.057 * [backup-simplify]: Simplify 0 into 0 2.057 * [backup-simplify]: Simplify 1 into 1 2.057 * [backup-simplify]: Simplify (* 1/192 0) into 0 2.057 * [backup-simplify]: Simplify (- 0) into 0 2.057 * [backup-simplify]: Simplify 0 into 0 2.057 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 1) (* 0 0))) into 0 2.058 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify (+ (* 1/4 (* J (pow K 2))) (* -2 (* J 1))) into (- (* 1/4 (* (pow K 2) J)) (* 2 J)) 2.058 * [backup-simplify]: Simplify (* (cos (/ (/ 1 K) 2)) (* -2 (/ 1 J))) into (* -2 (/ (cos (/ 1/2 K)) J)) 2.058 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in (K J) around 0 2.058 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in J 2.058 * [taylor]: Taking taylor expansion of -2 in J 2.058 * [backup-simplify]: Simplify -2 into -2 2.058 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 2.058 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.058 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.058 * [taylor]: Taking taylor expansion of 1/2 in J 2.058 * [backup-simplify]: Simplify 1/2 into 1/2 2.058 * [taylor]: Taking taylor expansion of K in J 2.058 * [backup-simplify]: Simplify K into K 2.058 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.059 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.059 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.059 * [taylor]: Taking taylor expansion of J in J 2.059 * [backup-simplify]: Simplify 0 into 0 2.059 * [backup-simplify]: Simplify 1 into 1 2.059 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.059 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.059 * [backup-simplify]: Simplify (- 0) into 0 2.059 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.059 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.059 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in K 2.059 * [taylor]: Taking taylor expansion of -2 in K 2.059 * [backup-simplify]: Simplify -2 into -2 2.059 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 2.059 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.059 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.059 * [taylor]: Taking taylor expansion of 1/2 in K 2.059 * [backup-simplify]: Simplify 1/2 into 1/2 2.059 * [taylor]: Taking taylor expansion of K in K 2.059 * [backup-simplify]: Simplify 0 into 0 2.059 * [backup-simplify]: Simplify 1 into 1 2.060 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.060 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.060 * [taylor]: Taking taylor expansion of J in K 2.060 * [backup-simplify]: Simplify J into J 2.060 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 2.060 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in K 2.060 * [taylor]: Taking taylor expansion of -2 in K 2.060 * [backup-simplify]: Simplify -2 into -2 2.060 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 2.060 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.060 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.060 * [taylor]: Taking taylor expansion of 1/2 in K 2.060 * [backup-simplify]: Simplify 1/2 into 1/2 2.060 * [taylor]: Taking taylor expansion of K in K 2.060 * [backup-simplify]: Simplify 0 into 0 2.060 * [backup-simplify]: Simplify 1 into 1 2.060 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.060 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.060 * [taylor]: Taking taylor expansion of J in K 2.060 * [backup-simplify]: Simplify J into J 2.060 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 2.061 * [backup-simplify]: Simplify (* -2 (/ (cos (/ 1/2 K)) J)) into (* -2 (/ (cos (/ 1/2 K)) J)) 2.061 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in J 2.061 * [taylor]: Taking taylor expansion of -2 in J 2.061 * [backup-simplify]: Simplify -2 into -2 2.061 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 2.061 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.061 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.061 * [taylor]: Taking taylor expansion of 1/2 in J 2.061 * [backup-simplify]: Simplify 1/2 into 1/2 2.061 * [taylor]: Taking taylor expansion of K in J 2.061 * [backup-simplify]: Simplify K into K 2.061 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.061 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.061 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.061 * [taylor]: Taking taylor expansion of J in J 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify 1 into 1 2.061 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.061 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.061 * [backup-simplify]: Simplify (- 0) into 0 2.061 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.062 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.062 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 2.062 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 2.062 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 2.062 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 2.062 * [taylor]: Taking taylor expansion of 0 in J 2.062 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify (+ 0) into 0 2.063 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.063 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.063 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.064 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.064 * [backup-simplify]: Simplify (- 0) into 0 2.064 * [backup-simplify]: Simplify (+ 0 0) into 0 2.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 2.065 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 2.065 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 2.066 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (/ (cos (/ 1/2 K)) J)))) into 0 2.066 * [taylor]: Taking taylor expansion of 0 in J 2.066 * [backup-simplify]: Simplify 0 into 0 2.066 * [backup-simplify]: Simplify 0 into 0 2.066 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.067 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.067 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.067 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.067 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.068 * [backup-simplify]: Simplify (- 0) into 0 2.068 * [backup-simplify]: Simplify (+ 0 0) into 0 2.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.069 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 2.069 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 2.070 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0 2.070 * [taylor]: Taking taylor expansion of 0 in J 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.071 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.072 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.072 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.073 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.073 * [backup-simplify]: Simplify (- 0) into 0 2.073 * [backup-simplify]: Simplify (+ 0 0) into 0 2.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.075 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 2.075 * [backup-simplify]: Simplify 0 into 0 2.075 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 (/ 1 J)) 1)) into (* -2 (* (cos (* 1/2 K)) J)) 2.075 * [backup-simplify]: Simplify (* (cos (/ (/ 1 (- K)) 2)) (* -2 (/ 1 (- J)))) into (* 2 (/ (cos (/ -1/2 K)) J)) 2.075 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in (K J) around 0 2.075 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in J 2.075 * [taylor]: Taking taylor expansion of 2 in J 2.075 * [backup-simplify]: Simplify 2 into 2 2.075 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 2.075 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.075 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.076 * [taylor]: Taking taylor expansion of -1/2 in J 2.076 * [backup-simplify]: Simplify -1/2 into -1/2 2.076 * [taylor]: Taking taylor expansion of K in J 2.076 * [backup-simplify]: Simplify K into K 2.076 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.076 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.076 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.076 * [taylor]: Taking taylor expansion of J in J 2.076 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify 1 into 1 2.076 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.076 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.076 * [backup-simplify]: Simplify (- 0) into 0 2.076 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.076 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.076 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in K 2.076 * [taylor]: Taking taylor expansion of 2 in K 2.076 * [backup-simplify]: Simplify 2 into 2 2.076 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 2.076 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.076 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.076 * [taylor]: Taking taylor expansion of -1/2 in K 2.076 * [backup-simplify]: Simplify -1/2 into -1/2 2.076 * [taylor]: Taking taylor expansion of K in K 2.076 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify 1 into 1 2.077 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.077 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.077 * [taylor]: Taking taylor expansion of J in K 2.077 * [backup-simplify]: Simplify J into J 2.077 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 2.077 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in K 2.077 * [taylor]: Taking taylor expansion of 2 in K 2.077 * [backup-simplify]: Simplify 2 into 2 2.077 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 2.077 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.077 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.077 * [taylor]: Taking taylor expansion of -1/2 in K 2.077 * [backup-simplify]: Simplify -1/2 into -1/2 2.077 * [taylor]: Taking taylor expansion of K in K 2.077 * [backup-simplify]: Simplify 0 into 0 2.077 * [backup-simplify]: Simplify 1 into 1 2.077 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.077 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.077 * [taylor]: Taking taylor expansion of J in K 2.077 * [backup-simplify]: Simplify J into J 2.077 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 2.077 * [backup-simplify]: Simplify (* 2 (/ (cos (/ -1/2 K)) J)) into (* 2 (/ (cos (/ -1/2 K)) J)) 2.077 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in J 2.077 * [taylor]: Taking taylor expansion of 2 in J 2.077 * [backup-simplify]: Simplify 2 into 2 2.078 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 2.078 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.078 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.078 * [taylor]: Taking taylor expansion of -1/2 in J 2.078 * [backup-simplify]: Simplify -1/2 into -1/2 2.078 * [taylor]: Taking taylor expansion of K in J 2.078 * [backup-simplify]: Simplify K into K 2.078 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.078 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.078 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.078 * [taylor]: Taking taylor expansion of J in J 2.078 * [backup-simplify]: Simplify 0 into 0 2.078 * [backup-simplify]: Simplify 1 into 1 2.078 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.078 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.078 * [backup-simplify]: Simplify (- 0) into 0 2.078 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.078 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.078 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 2.078 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 2.078 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 2.079 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (cos (/ -1/2 K)) J))) into 0 2.079 * [taylor]: Taking taylor expansion of 0 in J 2.079 * [backup-simplify]: Simplify 0 into 0 2.079 * [backup-simplify]: Simplify (+ 0) into 0 2.079 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.079 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.080 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.080 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.080 * [backup-simplify]: Simplify (- 0) into 0 2.081 * [backup-simplify]: Simplify (+ 0 0) into 0 2.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 2.082 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 2.082 * [backup-simplify]: Simplify 0 into 0 2.082 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 2.082 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J)))) into 0 2.082 * [taylor]: Taking taylor expansion of 0 in J 2.082 * [backup-simplify]: Simplify 0 into 0 2.082 * [backup-simplify]: Simplify 0 into 0 2.083 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.083 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.083 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.084 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.084 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.084 * [backup-simplify]: Simplify (- 0) into 0 2.085 * [backup-simplify]: Simplify (+ 0 0) into 0 2.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.086 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 2.086 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 2.087 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J))))) into 0 2.087 * [taylor]: Taking taylor expansion of 0 in J 2.087 * [backup-simplify]: Simplify 0 into 0 2.087 * [backup-simplify]: Simplify 0 into 0 2.087 * [backup-simplify]: Simplify 0 into 0 2.088 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.089 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.089 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.091 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.091 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.092 * [backup-simplify]: Simplify (- 0) into 0 2.092 * [backup-simplify]: Simplify (+ 0 0) into 0 2.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.095 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 2.095 * [backup-simplify]: Simplify 0 into 0 2.095 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (/ 1 (- J))) 1)) into (* -2 (* (cos (* 1/2 K)) J)) 2.095 * * * [progress]: simplifying candidates 2.095 * * * * [progress]: [ 1 / 137 ] simplifiying candidate # 2.096 * * * * [progress]: [ 2 / 137 ] simplifiying candidate # 2.096 * * * * [progress]: [ 3 / 137 ] simplifiying candidate # 2.096 * * * * [progress]: [ 4 / 137 ] simplifiying candidate # 2.096 * * * * [progress]: [ 5 / 137 ] simplifiying candidate # 2.096 * * * * [progress]: [ 6 / 137 ] simplifiying candidate # 2.096 * * * * [progress]: [ 7 / 137 ] simplifiying candidate # 2.096 * * * * [progress]: [ 8 / 137 ] simplifiying candidate # 2.096 * * * * [progress]: [ 9 / 137 ] simplifiying candidate # 2.096 * * * * [progress]: [ 10 / 137 ] simplifiying candidate # 2.096 * * * * [progress]: [ 11 / 137 ] simplifiying candidate # 2.096 * * * * [progress]: [ 12 / 137 ] simplifiying candidate # 2.096 * * * * [progress]: [ 13 / 137 ] simplifiying candidate # 2.096 * * * * [progress]: [ 14 / 137 ] simplifiying candidate # 2.097 * * * * [progress]: [ 15 / 137 ] simplifiying candidate # 2.097 * * * * [progress]: [ 16 / 137 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (* (cos (/ K 2)) (* -2 J))))> 2.097 * * * * [progress]: [ 17 / 137 ] simplifiying candidate # 2.097 * * * * [progress]: [ 18 / 137 ] simplifiying candidate # 2.097 * * * * [progress]: [ 19 / 137 ] simplifiying candidate # 2.097 * * * * [progress]: [ 20 / 137 ] simplifiying candidate # 2.097 * * * * [progress]: [ 21 / 137 ] simplifiying candidate # 2.097 * * * * [progress]: [ 22 / 137 ] simplifiying candidate # 2.097 * * * * [progress]: [ 23 / 137 ] simplifiying candidate # 2.097 * * * * [progress]: [ 24 / 137 ] simplifiying candidate # 2.097 * * * * [progress]: [ 25 / 137 ] simplifiying candidate # 2.097 * * * * [progress]: [ 26 / 137 ] simplifiying candidate # 2.097 * * * * [progress]: [ 27 / 137 ] simplifiying candidate # 2.097 * * * * [progress]: [ 28 / 137 ] simplifiying candidate # 2.098 * * * * [progress]: [ 29 / 137 ] simplifiying candidate # 2.098 * * * * [progress]: [ 30 / 137 ] simplifiying candidate # 2.098 * * * * [progress]: [ 31 / 137 ] simplifiying candidate # 2.098 * * * * [progress]: [ 32 / 137 ] simplifiying candidate # 2.098 * * * * [progress]: [ 33 / 137 ] simplifiying candidate # 2.098 * * * * [progress]: [ 34 / 137 ] simplifiying candidate # 2.098 * * * * [progress]: [ 35 / 137 ] simplifiying candidate # 2.098 * * * * [progress]: [ 36 / 137 ] simplifiying candidate # 2.098 * * * * [progress]: [ 37 / 137 ] simplifiying candidate # 2.098 * * * * [progress]: [ 38 / 137 ] simplifiying candidate # 2.098 * * * * [progress]: [ 39 / 137 ] simplifiying candidate # 2.098 * * * * [progress]: [ 40 / 137 ] simplifiying candidate # 2.098 * * * * [progress]: [ 41 / 137 ] simplifiying candidate # 2.099 * * * * [progress]: [ 42 / 137 ] simplifiying candidate #real (real->posit16 (* (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))))> 2.099 * * * * [progress]: [ 43 / 137 ] simplifiying candidate # 2.099 * * * * [progress]: [ 44 / 137 ] simplifiying candidate # 2.099 * * * * [progress]: [ 45 / 137 ] simplifiying candidate # 2.099 * * * * [progress]: [ 46 / 137 ] simplifiying candidate # 2.099 * * * * [progress]: [ 47 / 137 ] simplifiying candidate # 2.099 * * * * [progress]: [ 48 / 137 ] simplifiying candidate # 2.099 * * * * [progress]: [ 49 / 137 ] simplifiying candidate # 2.099 * * * * [progress]: [ 50 / 137 ] simplifiying candidate # 2.099 * * * * [progress]: [ 51 / 137 ] simplifiying candidate # 2.099 * * * * [progress]: [ 52 / 137 ] simplifiying candidate # 2.099 * * * * [progress]: [ 53 / 137 ] simplifiying candidate # 2.099 * * * * [progress]: [ 54 / 137 ] simplifiying candidate # 2.099 * * * * [progress]: [ 55 / 137 ] simplifiying candidate # 2.099 * * * * [progress]: [ 56 / 137 ] simplifiying candidate # 2.099 * * * * [progress]: [ 57 / 137 ] simplifiying candidate # 2.099 * * * * [progress]: [ 58 / 137 ] simplifiying candidate # 2.100 * * * * [progress]: [ 59 / 137 ] simplifiying candidate # 2.100 * * * * [progress]: [ 60 / 137 ] simplifiying candidate # 2.100 * * * * [progress]: [ 61 / 137 ] simplifiying candidate # 2.100 * * * * [progress]: [ 62 / 137 ] simplifiying candidate # 2.100 * * * * [progress]: [ 63 / 137 ] simplifiying candidate # 2.100 * * * * [progress]: [ 64 / 137 ] simplifiying candidate # 2.100 * * * * [progress]: [ 65 / 137 ] simplifiying candidate # 2.100 * * * * [progress]: [ 66 / 137 ] simplifiying candidate # 2.100 * * * * [progress]: [ 67 / 137 ] simplifiying candidate # 2.100 * * * * [progress]: [ 68 / 137 ] simplifiying candidate # 2.100 * * * * [progress]: [ 69 / 137 ] simplifiying candidate # 2.100 * * * * [progress]: [ 70 / 137 ] simplifiying candidate # 2.100 * * * * [progress]: [ 71 / 137 ] simplifiying candidate # 2.100 * * * * [progress]: [ 72 / 137 ] simplifiying candidate # 2.100 * * * * [progress]: [ 73 / 137 ] simplifiying candidate # 2.100 * * * * [progress]: [ 74 / 137 ] simplifiying candidate # 2.100 * * * * [progress]: [ 75 / 137 ] simplifiying candidate # 2.100 * * * * [progress]: [ 76 / 137 ] simplifiying candidate # 2.100 * * * * [progress]: [ 77 / 137 ] simplifiying candidate # 2.100 * * * * [progress]: [ 78 / 137 ] simplifiying candidate # 2.100 * * * * [progress]: [ 79 / 137 ] simplifiying candidate # 2.101 * * * * [progress]: [ 80 / 137 ] simplifiying candidate # 2.101 * * * * [progress]: [ 81 / 137 ] simplifiying candidate # 2.101 * * * * [progress]: [ 82 / 137 ] simplifiying candidate # 2.101 * * * * [progress]: [ 83 / 137 ] simplifiying candidate # 2.101 * * * * [progress]: [ 84 / 137 ] simplifiying candidate # 2.101 * * * * [progress]: [ 85 / 137 ] simplifiying candidate # 2.101 * * * * [progress]: [ 86 / 137 ] simplifiying candidate # 2.101 * * * * [progress]: [ 87 / 137 ] simplifiying candidate # 2.101 * * * * [progress]: [ 88 / 137 ] simplifiying candidate # 2.101 * * * * [progress]: [ 89 / 137 ] simplifiying candidate # 2.101 * * * * [progress]: [ 90 / 137 ] simplifiying candidate # 2.101 * * * * [progress]: [ 91 / 137 ] simplifiying candidate # 2.101 * * * * [progress]: [ 92 / 137 ] simplifiying candidate # 2.101 * * * * [progress]: [ 93 / 137 ] simplifiying candidate # 2.101 * * * * [progress]: [ 94 / 137 ] simplifiying candidate # 2.101 * * * * [progress]: [ 95 / 137 ] simplifiying candidate # 2.101 * * * * [progress]: [ 96 / 137 ] simplifiying candidate # 2.101 * * * * [progress]: [ 97 / 137 ] simplifiying candidate # 2.101 * * * * [progress]: [ 98 / 137 ] simplifiying candidate # 2.101 * * * * [progress]: [ 99 / 137 ] simplifiying candidate # 2.101 * * * * [progress]: [ 100 / 137 ] simplifiying candidate # 2.101 * * * * [progress]: [ 101 / 137 ] simplifiying candidate # 2.102 * * * * [progress]: [ 102 / 137 ] simplifiying candidate # 2.102 * * * * [progress]: [ 103 / 137 ] simplifiying candidate # 2.102 * * * * [progress]: [ 104 / 137 ] simplifiying candidate # 2.102 * * * * [progress]: [ 105 / 137 ] simplifiying candidate #real (real->posit16 (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))))) 1)) (* (cos (/ K 2)) (* -2 J))))> 2.102 * * * * [progress]: [ 106 / 137 ] simplifiying candidate # 2.102 * * * * [progress]: [ 107 / 137 ] simplifiying candidate # 2.102 * * * * [progress]: [ 108 / 137 ] simplifiying candidate # 2.102 * * * * [progress]: [ 109 / 137 ] simplifiying candidate # 2.102 * * * * [progress]: [ 110 / 137 ] simplifiying candidate # 2.102 * * * * [progress]: [ 111 / 137 ] simplifiying candidate # 2.102 * * * * [progress]: [ 112 / 137 ] simplifiying candidate # 2.102 * * * * [progress]: [ 113 / 137 ] simplifiying candidate # 2.102 * * * * [progress]: [ 114 / 137 ] simplifiying candidate # 2.102 * * * * [progress]: [ 115 / 137 ] simplifiying candidate # 2.102 * * * * [progress]: [ 116 / 137 ] simplifiying candidate # 2.102 * * * * [progress]: [ 117 / 137 ] simplifiying candidate # 2.102 * * * * [progress]: [ 118 / 137 ] simplifiying candidate # 2.102 * * * * [progress]: [ 119 / 137 ] simplifiying candidate # 2.102 * * * * [progress]: [ 120 / 137 ] simplifiying candidate # 2.102 * * * * [progress]: [ 121 / 137 ] simplifiying candidate # 2.102 * * * * [progress]: [ 122 / 137 ] simplifiying candidate # 2.102 * * * * [progress]: [ 123 / 137 ] simplifiying candidate # 2.102 * * * * [progress]: [ 124 / 137 ] simplifiying candidate #real (real->posit16 (* (cos (/ K 2)) (* -2 J))))))> 2.103 * * * * [progress]: [ 125 / 137 ] simplifiying candidate # 2.103 * * * * [progress]: [ 126 / 137 ] simplifiying candidate # 2.103 * * * * [progress]: [ 127 / 137 ] simplifiying candidate # 2.103 * * * * [progress]: [ 128 / 137 ] simplifiying candidate # 2.103 * * * * [progress]: [ 129 / 137 ] simplifiying candidate # 2.103 * * * * [progress]: [ 130 / 137 ] simplifiying candidate # 2.103 * * * * [progress]: [ 131 / 137 ] simplifiying candidate # 2.103 * * * * [progress]: [ 132 / 137 ] simplifiying candidate # 2.103 * * * * [progress]: [ 133 / 137 ] simplifiying candidate # 2.103 * * * * [progress]: [ 134 / 137 ] simplifiying candidate # 2.103 * * * * [progress]: [ 135 / 137 ] simplifiying candidate # 2.103 * * * * [progress]: [ 136 / 137 ] simplifiying candidate # 2.103 * * * * [progress]: [ 137 / 137 ] simplifiying candidate # 2.104 * [simplify]: Simplifying: (log (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (exp (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (* (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (* (* (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (* (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (sqrt (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt 1) (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (sqrt (+ (pow (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (sqrt (- (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2)))))) (* 1 1))) (sqrt (- (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (/ 1 2) (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (real->posit16 (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (* (sqrt (+ (* (/ U (* (+ J J) 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(* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) (* (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) (* (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) (* (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) (* (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) (* (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (cbrt (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))))) (cbrt (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) (* (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) (* (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))))) (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (fabs (/ (/ U (+ J J)) (cos (/ K 2)))) (* U U) (* (+ (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (+ (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) (* (* (cbrt (/ (/ U (+ J J)) (cos (/ K 2)))) (cbrt (/ (/ U (+ J J)) (cos (/ K 2))))) (* (cbrt (/ (/ U (+ J J)) (cos (/ K 2)))) (cbrt (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (cbrt (/ (/ U (+ J J)) (cos (/ K 2)))) (cbrt (/ (/ U (+ J J)) (cos (/ K 2))))) (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))) (* (/ (* (cbrt U) (cbrt U)) (+ J J)) (/ (* (cbrt U) (cbrt U)) (+ J J))) (* (/ (cbrt U) (cos (/ K 2))) (/ (cbrt U) (cos (/ K 2)))) (* (/ (sqrt U) (+ J J)) (/ (sqrt U) (+ J J))) (* (/ (sqrt U) (cos (/ K 2))) (/ (sqrt U) (cos (/ K 2)))) (/ (/ 1 (+ J J)) (+ J J)) (* (/ U (cos (/ K 2))) (/ U (cos (/ K 2)))) 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) (* U U) (* (/ (/ 1 (+ J J)) (cos (/ K 2))) (/ (/ 1 (+ J J)) (cos (/ K 2)))) (* (/ (/ U (+ (* (* J J) J) (* (* J J) J))) (cos (/ K 2))) (/ (/ U (+ (* (* J J) J) (* (* J J) J))) (cos (/ K 2)))) (* (* J J) (* J J)) (* (/ U 0) (/ U 0)) 0 (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))) 2 (* (* (cbrt (/ (/ U (+ J J)) (cos (/ K 2)))) (cbrt (/ (/ U (+ J J)) (cos (/ K 2))))) (/ (/ U (+ J J)) (cos (/ K 2)))) (* (sqrt (/ (/ U (+ J J)) (cos (/ K 2)))) (/ (/ U (+ J J)) (cos (/ K 2)))) (* (/ U (cos (/ K 2))) (/ (/ (* (cbrt U) (cbrt U)) (+ J J)) (+ J J))) (/ (* (/ (sqrt U) (+ J J)) (/ U (+ J J))) (cos (/ K 2))) (/ (/ (/ U (+ J J)) (cos (/ K 2))) (+ J J)) (/ (/ U (+ J J)) (cos (/ K 2))) (/ (* U (/ U (+ J J))) (cos (/ K 2))) (* (/ (/ (/ U (+ J J)) (cos (/ K 2))) (cos (/ K 2))) (/ U (+ (* (* J J) J) (* (* J J) J)))) (/ (* (/ U 0) U) (+ (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))) (* (/ (/ U (+ J J)) (cos (/ K 2))) (cbrt (/ (/ U (+ J J)) (cos (/ K 2))))) (* (sqrt (/ (/ U (+ J J)) (cos (/ K 2)))) (/ (/ U (+ J J)) (cos (/ K 2)))) (/ (/ (* (cbrt U) (/ U (+ J J))) (cos (/ K 2))) (cos (/ K 2))) (/ (/ (/ (* (sqrt U) U) (cos (/ K 2))) (+ J J)) (cos (/ K 2))) (/ (* (/ (/ U (+ J J)) (cos (/ K 2))) U) (cos (/ K 2))) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) (/ (/ (/ (/ U (+ J J)) (cos (/ K 2))) (+ J J)) (cos (/ K 2))) (* (/ (* J J) (cos (/ K 2))) (/ U (+ J J))) 0 (/ (* U (/ U (+ J J))) (cos (/ K 2))) (/ (* U (/ U (+ J J))) (cos (/ K 2))) (real->posit16 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) (* -2 (* (cos (/ K 2)) J)) (* -2 (* (cos (/ K 2)) J)) (log (* -2 (* (cos (/ K 2)) J))) (log (* -2 (* (cos (/ K 2)) J))) (log (* -2 (* (cos (/ K 2)) J))) (exp (* -2 (* (cos (/ K 2)) J))) (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) -8)) J) (* (* (* -2 (* (cos (/ K 2)) J)) (* -2 (* (cos (/ K 2)) J))) (* -2 (* (cos (/ K 2)) J))) (* (cbrt (* -2 (* (cos (/ K 2)) J))) (cbrt (* -2 (* (cos (/ K 2)) J)))) (cbrt (* -2 (* (cos (/ K 2)) J))) (* (* (* -2 (* (cos (/ K 2)) J)) (* -2 (* (cos (/ K 2)) J))) (* -2 (* (cos (/ K 2)) J))) (sqrt (* -2 (* (cos (/ K 2)) J))) (sqrt (* -2 (* (cos (/ K 2)) J))) (* -2 (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (* J -2)) (* J (* (sqrt (cos (/ K 2))) -2)) (* -2 (* (cos (/ K 2)) J)) (real->posit16 (* -2 (* (cos (/ K 2)) J))) 1 (/ (* (/ U (cos (* 1/2 K))) 1/2) J) (/ (* (/ U (cos (* 1/2 K))) 1/2) J) (- (* J -2) (* 1/4 (/ (* U U) J))) (- U) (- U) (+ (/ (* 1/16 (* K K)) (* (/ J U) (/ J U))) (* (* (/ U J) (/ U J)) 1/4)) (* (/ (* U U) (* (* J (cos (* 1/2 K))) (* J (cos (* 1/2 K))))) 1/4) (* (/ (* U U) (* (* J (cos (* 1/2 K))) (* J (cos (* 1/2 K))))) 1/4) (* J (- (* (* K K) 1/4) 2)) (* (* J (cos (* 1/2 K))) -2) (* (* J (cos (* 1/2 K))) -2) 3.245 * * * [progress]: adding candidates to table 4.923 * * [progress]: iteration 2 / 4 4.923 * * * [progress]: picking best candidate 4.985 * * * * [pick]: Picked # 4.985 * * * [progress]: localizing error 5.031 * * * [progress]: generating rewritten candidates 5.031 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 5.116 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 5.208 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 5.295 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 5.384 * * * [progress]: generating series expansions 5.384 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 5.385 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 5.385 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0 5.385 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 5.385 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 5.385 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 5.385 * [taylor]: Taking taylor expansion of 1/4 in K 5.385 * [backup-simplify]: Simplify 1/4 into 1/4 5.385 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 5.385 * [taylor]: Taking taylor expansion of (pow U 2) in K 5.385 * [taylor]: Taking taylor expansion of U in K 5.385 * [backup-simplify]: Simplify U into U 5.385 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 5.385 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 5.385 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 5.385 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 5.385 * [taylor]: Taking taylor expansion of 1/2 in K 5.385 * [backup-simplify]: Simplify 1/2 into 1/2 5.385 * [taylor]: Taking taylor expansion of K in K 5.385 * [backup-simplify]: Simplify 0 into 0 5.385 * [backup-simplify]: Simplify 1 into 1 5.386 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.387 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.387 * [taylor]: Taking taylor expansion of (pow J 2) in K 5.387 * [taylor]: Taking taylor expansion of J in K 5.387 * [backup-simplify]: Simplify J into J 5.387 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.388 * [backup-simplify]: Simplify (* 1 1) into 1 5.388 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.388 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 5.388 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 5.388 * [taylor]: Taking taylor expansion of 1 in K 5.388 * [backup-simplify]: Simplify 1 into 1 5.388 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 5.388 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 5.389 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 5.389 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 5.389 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.389 * [backup-simplify]: Simplify (+ 0) into 0 5.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 5.391 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 5.391 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 5.392 * [backup-simplify]: Simplify (+ 0 0) into 0 5.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 5.392 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 5.392 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 5.392 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 5.392 * [taylor]: Taking taylor expansion of 1/4 in J 5.392 * [backup-simplify]: Simplify 1/4 into 1/4 5.392 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 5.392 * [taylor]: Taking taylor expansion of (pow U 2) in J 5.392 * [taylor]: Taking taylor expansion of U in J 5.392 * [backup-simplify]: Simplify U into U 5.393 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 5.393 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 5.393 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 5.393 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 5.393 * [taylor]: Taking taylor expansion of 1/2 in J 5.393 * [backup-simplify]: Simplify 1/2 into 1/2 5.393 * [taylor]: Taking taylor expansion of K in J 5.393 * [backup-simplify]: Simplify K into K 5.393 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.393 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.393 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.393 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.393 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.393 * [backup-simplify]: Simplify (- 0) into 0 5.394 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.394 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.394 * [taylor]: Taking taylor expansion of J in J 5.394 * [backup-simplify]: Simplify 0 into 0 5.394 * [backup-simplify]: Simplify 1 into 1 5.394 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.394 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 5.394 * [backup-simplify]: Simplify (* 1 1) into 1 5.394 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 5.395 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 5.395 * [taylor]: Taking taylor expansion of 1 in J 5.395 * [backup-simplify]: Simplify 1 into 1 5.395 * [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))) 5.395 * [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))) 5.395 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 5.395 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 5.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.396 * [backup-simplify]: Simplify (+ 0) into 0 5.397 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 5.397 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 5.398 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.399 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 5.399 * [backup-simplify]: Simplify (- 0) into 0 5.400 * [backup-simplify]: Simplify (+ 0 0) into 0 5.400 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 5.400 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 5.401 * [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 5.401 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 5.402 * [backup-simplify]: Simplify (+ 0 0) into 0 5.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 5.402 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 5.402 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 5.402 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 5.402 * [taylor]: Taking taylor expansion of 1/4 in U 5.402 * [backup-simplify]: Simplify 1/4 into 1/4 5.402 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 5.402 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.402 * [taylor]: Taking taylor expansion of U in U 5.402 * [backup-simplify]: Simplify 0 into 0 5.402 * [backup-simplify]: Simplify 1 into 1 5.402 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 5.402 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 5.402 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 5.402 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 5.402 * [taylor]: Taking taylor expansion of 1/2 in U 5.402 * [backup-simplify]: Simplify 1/2 into 1/2 5.402 * [taylor]: Taking taylor expansion of K in U 5.402 * [backup-simplify]: Simplify K into K 5.402 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.403 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.403 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.403 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.403 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.403 * [backup-simplify]: Simplify (- 0) into 0 5.403 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.403 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.403 * [taylor]: Taking taylor expansion of J in U 5.403 * [backup-simplify]: Simplify J into J 5.404 * [backup-simplify]: Simplify (* 1 1) into 1 5.404 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 5.404 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.404 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 5.404 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 5.404 * [taylor]: Taking taylor expansion of 1 in U 5.404 * [backup-simplify]: Simplify 1 into 1 5.405 * [backup-simplify]: Simplify (+ 0 1) into 1 5.405 * [backup-simplify]: Simplify (sqrt 1) into 1 5.405 * [backup-simplify]: Simplify (+ 0 0) into 0 5.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.406 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 5.406 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 5.406 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 5.406 * [taylor]: Taking taylor expansion of 1/4 in U 5.406 * [backup-simplify]: Simplify 1/4 into 1/4 5.406 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 5.406 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.406 * [taylor]: Taking taylor expansion of U in U 5.406 * [backup-simplify]: Simplify 0 into 0 5.406 * [backup-simplify]: Simplify 1 into 1 5.406 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 5.406 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 5.406 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 5.406 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 5.406 * [taylor]: Taking taylor expansion of 1/2 in U 5.406 * [backup-simplify]: Simplify 1/2 into 1/2 5.406 * [taylor]: Taking taylor expansion of K in U 5.407 * [backup-simplify]: Simplify K into K 5.407 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.407 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.407 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.407 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.407 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.407 * [backup-simplify]: Simplify (- 0) into 0 5.407 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.407 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.407 * [taylor]: Taking taylor expansion of J in U 5.407 * [backup-simplify]: Simplify J into J 5.408 * [backup-simplify]: Simplify (* 1 1) into 1 5.408 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 5.408 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.408 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 5.408 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 5.408 * [taylor]: Taking taylor expansion of 1 in U 5.408 * [backup-simplify]: Simplify 1 into 1 5.408 * [backup-simplify]: Simplify (+ 0 1) into 1 5.408 * [backup-simplify]: Simplify (sqrt 1) into 1 5.409 * [backup-simplify]: Simplify (+ 0 0) into 0 5.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.409 * [taylor]: Taking taylor expansion of 1 in J 5.409 * [backup-simplify]: Simplify 1 into 1 5.409 * [taylor]: Taking taylor expansion of 0 in J 5.409 * [backup-simplify]: Simplify 0 into 0 5.409 * [taylor]: Taking taylor expansion of 1 in K 5.409 * [backup-simplify]: Simplify 1 into 1 5.409 * [backup-simplify]: Simplify 1 into 1 5.410 * [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))) 5.410 * [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)))) 5.411 * [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))) 5.411 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 5.411 * [taylor]: Taking taylor expansion of 1/8 in J 5.411 * [backup-simplify]: Simplify 1/8 into 1/8 5.411 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 5.411 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 5.411 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 5.411 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 5.411 * [taylor]: Taking taylor expansion of 1/2 in J 5.411 * [backup-simplify]: Simplify 1/2 into 1/2 5.411 * [taylor]: Taking taylor expansion of K in J 5.411 * [backup-simplify]: Simplify K into K 5.411 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.411 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.411 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.411 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.411 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.411 * [backup-simplify]: Simplify (- 0) into 0 5.411 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.411 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.411 * [taylor]: Taking taylor expansion of J in J 5.411 * [backup-simplify]: Simplify 0 into 0 5.411 * [backup-simplify]: Simplify 1 into 1 5.411 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 5.412 * [backup-simplify]: Simplify (* 1 1) into 1 5.412 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 5.412 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 5.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.412 * [backup-simplify]: Simplify (+ 0) into 0 5.413 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 5.413 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 5.413 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.414 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 5.414 * [backup-simplify]: Simplify (- 0) into 0 5.414 * [backup-simplify]: Simplify (+ 0 0) into 0 5.414 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 5.415 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 5.415 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 5.415 * [taylor]: Taking taylor expansion of 0 in K 5.415 * [backup-simplify]: Simplify 0 into 0 5.415 * [backup-simplify]: Simplify 0 into 0 5.415 * [taylor]: Taking taylor expansion of 0 in K 5.415 * [backup-simplify]: Simplify 0 into 0 5.415 * [backup-simplify]: Simplify 0 into 0 5.415 * [taylor]: Taking taylor expansion of 0 in K 5.415 * [backup-simplify]: Simplify 0 into 0 5.415 * [backup-simplify]: Simplify 0 into 0 5.415 * [backup-simplify]: Simplify 0 into 0 5.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.416 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.416 * [backup-simplify]: Simplify (+ 0) into 0 5.416 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 5.416 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 5.417 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.417 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 5.417 * [backup-simplify]: Simplify (- 0) into 0 5.418 * [backup-simplify]: Simplify (+ 0 0) into 0 5.418 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 5.418 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 5.418 * [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 5.419 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 5.419 * [backup-simplify]: Simplify (+ 0 0) into 0 5.419 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 5.419 * [taylor]: Taking taylor expansion of 0 in J 5.419 * [backup-simplify]: Simplify 0 into 0 5.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.420 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.421 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 5.421 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 5.422 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.422 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 5.422 * [backup-simplify]: Simplify (- 0) into 0 5.423 * [backup-simplify]: Simplify (+ 0 0) into 0 5.423 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 5.423 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 5.424 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 5.424 * [taylor]: Taking taylor expansion of 0 in K 5.424 * [backup-simplify]: Simplify 0 into 0 5.424 * [backup-simplify]: Simplify 0 into 0 5.424 * [taylor]: Taking taylor expansion of 0 in K 5.424 * [backup-simplify]: Simplify 0 into 0 5.424 * [backup-simplify]: Simplify 0 into 0 5.424 * [backup-simplify]: Simplify 1 into 1 5.424 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (+ (/ 1 J) (/ 1 J)) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (+ (/ 1 J) (/ 1 J)) (cos (/ (/ 1 K) 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 5.424 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0 5.424 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 5.424 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 5.424 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 5.424 * [taylor]: Taking taylor expansion of 1/4 in K 5.424 * [backup-simplify]: Simplify 1/4 into 1/4 5.424 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 5.424 * [taylor]: Taking taylor expansion of (pow J 2) in K 5.424 * [taylor]: Taking taylor expansion of J in K 5.424 * [backup-simplify]: Simplify J into J 5.424 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 5.424 * [taylor]: Taking taylor expansion of (pow U 2) in K 5.424 * [taylor]: Taking taylor expansion of U in K 5.424 * [backup-simplify]: Simplify U into U 5.425 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 5.425 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 5.425 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 5.425 * [taylor]: Taking taylor expansion of 1/2 in K 5.425 * [backup-simplify]: Simplify 1/2 into 1/2 5.425 * [taylor]: Taking taylor expansion of K in K 5.425 * [backup-simplify]: Simplify 0 into 0 5.425 * [backup-simplify]: Simplify 1 into 1 5.425 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.425 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.425 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.425 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.425 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 5.425 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 5.425 * [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))) 5.425 * [taylor]: Taking taylor expansion of 1 in K 5.425 * [backup-simplify]: Simplify 1 into 1 5.425 * [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)))) 5.426 * [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) 5.426 * [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)) 5.426 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.426 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 5.426 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 5.426 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 5.427 * [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 5.427 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 5.427 * [backup-simplify]: Simplify (+ 0 0) into 0 5.427 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 5.428 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 5.428 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 5.428 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 5.428 * [taylor]: Taking taylor expansion of 1/4 in J 5.428 * [backup-simplify]: Simplify 1/4 into 1/4 5.428 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 5.428 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.428 * [taylor]: Taking taylor expansion of J in J 5.428 * [backup-simplify]: Simplify 0 into 0 5.428 * [backup-simplify]: Simplify 1 into 1 5.428 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 5.428 * [taylor]: Taking taylor expansion of (pow U 2) in J 5.428 * [taylor]: Taking taylor expansion of U in J 5.428 * [backup-simplify]: Simplify U into U 5.428 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 5.428 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 5.428 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 5.428 * [taylor]: Taking taylor expansion of 1/2 in J 5.428 * [backup-simplify]: Simplify 1/2 into 1/2 5.428 * [taylor]: Taking taylor expansion of K in J 5.428 * [backup-simplify]: Simplify K into K 5.428 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.428 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.428 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.428 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.428 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.428 * [backup-simplify]: Simplify (- 0) into 0 5.428 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.429 * [backup-simplify]: Simplify (* 1 1) into 1 5.429 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.429 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 5.429 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 5.429 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 5.429 * [taylor]: Taking taylor expansion of 1 in J 5.429 * [backup-simplify]: Simplify 1 into 1 5.429 * [backup-simplify]: Simplify (+ 0 1) into 1 5.429 * [backup-simplify]: Simplify (sqrt 1) into 1 5.430 * [backup-simplify]: Simplify (+ 0 0) into 0 5.430 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.430 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 5.430 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 5.430 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 5.430 * [taylor]: Taking taylor expansion of 1/4 in U 5.430 * [backup-simplify]: Simplify 1/4 into 1/4 5.430 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 5.430 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.430 * [taylor]: Taking taylor expansion of J in U 5.430 * [backup-simplify]: Simplify J into J 5.430 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 5.430 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.430 * [taylor]: Taking taylor expansion of U in U 5.430 * [backup-simplify]: Simplify 0 into 0 5.430 * [backup-simplify]: Simplify 1 into 1 5.430 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 5.430 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 5.430 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 5.430 * [taylor]: Taking taylor expansion of 1/2 in U 5.430 * [backup-simplify]: Simplify 1/2 into 1/2 5.430 * [taylor]: Taking taylor expansion of K in U 5.430 * [backup-simplify]: Simplify K into K 5.431 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.431 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.431 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.431 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.431 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.431 * [backup-simplify]: Simplify (- 0) into 0 5.431 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.431 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.431 * [backup-simplify]: Simplify (* 1 1) into 1 5.431 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 5.431 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 5.432 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 5.432 * [taylor]: Taking taylor expansion of 1 in U 5.432 * [backup-simplify]: Simplify 1 into 1 5.432 * [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))) 5.432 * [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))) 5.432 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 5.432 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.432 * [backup-simplify]: Simplify (+ 0) into 0 5.433 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 5.433 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 5.433 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.433 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 5.434 * [backup-simplify]: Simplify (- 0) into 0 5.434 * [backup-simplify]: Simplify (+ 0 0) into 0 5.434 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 5.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 5.435 * [backup-simplify]: 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 5.435 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 5.436 * [backup-simplify]: Simplify (+ 0 0) into 0 5.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 5.436 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 5.436 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 5.436 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 5.436 * [taylor]: Taking taylor expansion of 1/4 in U 5.436 * [backup-simplify]: Simplify 1/4 into 1/4 5.436 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 5.436 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.436 * [taylor]: Taking taylor expansion of J in U 5.436 * [backup-simplify]: Simplify J into J 5.436 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 5.436 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.436 * [taylor]: Taking taylor expansion of U in U 5.436 * [backup-simplify]: Simplify 0 into 0 5.436 * [backup-simplify]: Simplify 1 into 1 5.436 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 5.436 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 5.436 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 5.436 * [taylor]: Taking taylor expansion of 1/2 in U 5.436 * [backup-simplify]: Simplify 1/2 into 1/2 5.436 * [taylor]: Taking taylor expansion of K in U 5.436 * [backup-simplify]: Simplify K into K 5.436 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.436 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.436 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.436 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.436 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.437 * [backup-simplify]: Simplify (- 0) into 0 5.437 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.437 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.437 * [backup-simplify]: Simplify (* 1 1) into 1 5.437 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 5.437 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 5.437 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 5.437 * [taylor]: Taking taylor expansion of 1 in U 5.437 * [backup-simplify]: Simplify 1 into 1 5.437 * [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))) 5.438 * [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))) 5.438 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 5.438 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.438 * [backup-simplify]: Simplify (+ 0) into 0 5.438 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 5.438 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 5.439 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.439 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 5.439 * [backup-simplify]: Simplify (- 0) into 0 5.440 * [backup-simplify]: Simplify (+ 0 0) into 0 5.440 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 5.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 5.442 * [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 5.442 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 5.443 * [backup-simplify]: Simplify (+ 0 0) into 0 5.443 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 5.443 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 5.443 * [taylor]: Taking taylor expansion of 1/2 in J 5.443 * [backup-simplify]: Simplify 1/2 into 1/2 5.443 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 5.443 * [taylor]: Taking taylor expansion of J in J 5.443 * [backup-simplify]: Simplify 0 into 0 5.443 * [backup-simplify]: Simplify 1 into 1 5.443 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 5.443 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 5.443 * [taylor]: Taking taylor expansion of 1/2 in J 5.443 * [backup-simplify]: Simplify 1/2 into 1/2 5.443 * [taylor]: Taking taylor expansion of K in J 5.443 * [backup-simplify]: Simplify K into K 5.443 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.443 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.443 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.444 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.444 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.444 * [backup-simplify]: Simplify (- 0) into 0 5.444 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.444 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 5.444 * [taylor]: Taking taylor expansion of 0 in J 5.444 * [backup-simplify]: Simplify 0 into 0 5.444 * [taylor]: Taking taylor expansion of 0 in K 5.444 * [backup-simplify]: Simplify 0 into 0 5.444 * [backup-simplify]: Simplify 0 into 0 5.444 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 5.444 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 5.445 * [taylor]: Taking taylor expansion of 1/2 in K 5.445 * [backup-simplify]: Simplify 1/2 into 1/2 5.445 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 5.445 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 5.445 * [taylor]: Taking taylor expansion of 1/2 in K 5.445 * [backup-simplify]: Simplify 1/2 into 1/2 5.445 * [taylor]: Taking taylor expansion of K in K 5.445 * [backup-simplify]: Simplify 0 into 0 5.445 * [backup-simplify]: Simplify 1 into 1 5.445 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.445 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.445 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 5.445 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 5.446 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 5.447 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.447 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 5.448 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 5.448 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.449 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 5.449 * [backup-simplify]: Simplify (- 0) into 0 5.450 * [backup-simplify]: Simplify (+ 0 0) into 0 5.450 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 5.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 5.452 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 5.453 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 5.454 * [backup-simplify]: Simplify (+ 0 1) into 1 5.454 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 5.454 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 5.454 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 5.454 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 5.455 * [taylor]: Taking taylor expansion of 1/2 in J 5.455 * [backup-simplify]: Simplify 1/2 into 1/2 5.455 * [taylor]: Taking taylor expansion of K in J 5.455 * [backup-simplify]: Simplify K into K 5.455 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.455 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.455 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.455 * [taylor]: Taking taylor expansion of J in J 5.455 * [backup-simplify]: Simplify 0 into 0 5.455 * [backup-simplify]: Simplify 1 into 1 5.455 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.455 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.455 * [backup-simplify]: Simplify (- 0) into 0 5.455 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.455 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.456 * [backup-simplify]: Simplify (+ 0) into 0 5.456 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 5.456 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 5.457 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.457 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 5.457 * [backup-simplify]: Simplify (- 0) into 0 5.457 * [backup-simplify]: Simplify (+ 0 0) into 0 5.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 5.458 * [taylor]: Taking taylor expansion of 0 in K 5.458 * [backup-simplify]: Simplify 0 into 0 5.458 * [backup-simplify]: Simplify 0 into 0 5.458 * [taylor]: Taking taylor expansion of 0 in K 5.458 * [backup-simplify]: Simplify 0 into 0 5.458 * [backup-simplify]: Simplify 0 into 0 5.458 * [backup-simplify]: Simplify (+ 0) into 0 5.459 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 5.459 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 5.459 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.459 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 5.460 * [backup-simplify]: Simplify (- 0) into 0 5.460 * [backup-simplify]: Simplify (+ 0 0) into 0 5.460 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 5.460 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 5.460 * [taylor]: Taking taylor expansion of 0 in K 5.460 * [backup-simplify]: Simplify 0 into 0 5.460 * [backup-simplify]: Simplify 0 into 0 5.460 * [backup-simplify]: Simplify 0 into 0 5.461 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 5.461 * [backup-simplify]: Simplify 0 into 0 5.461 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 5.462 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.462 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.462 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 5.463 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 5.464 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 5.464 * [backup-simplify]: Simplify (- 0) into 0 5.464 * [backup-simplify]: Simplify (+ 0 0) into 0 5.465 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 5.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 5.467 * [backup-simplify]: 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 5.467 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 5.468 * [backup-simplify]: Simplify (+ 0 0) into 0 5.468 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 5.468 * [taylor]: Taking taylor expansion of 0 in J 5.468 * [backup-simplify]: Simplify 0 into 0 5.468 * [taylor]: Taking taylor expansion of 0 in K 5.468 * [backup-simplify]: Simplify 0 into 0 5.468 * [backup-simplify]: Simplify 0 into 0 5.468 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 5.468 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (+ (/ 1 (- J)) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (+ (/ 1 (- J)) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 5.469 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0 5.469 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 5.469 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 5.469 * [taylor]: Taking taylor expansion of 1 in K 5.469 * [backup-simplify]: Simplify 1 into 1 5.469 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 5.469 * [taylor]: Taking taylor expansion of 1/4 in K 5.469 * [backup-simplify]: Simplify 1/4 into 1/4 5.469 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 5.469 * [taylor]: Taking taylor expansion of (pow J 2) in K 5.469 * [taylor]: Taking taylor expansion of J in K 5.469 * [backup-simplify]: Simplify J into J 5.469 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 5.469 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 5.469 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 5.469 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 5.469 * [taylor]: Taking taylor expansion of -1/2 in K 5.469 * [backup-simplify]: Simplify -1/2 into -1/2 5.469 * [taylor]: Taking taylor expansion of K in K 5.469 * [backup-simplify]: Simplify 0 into 0 5.469 * [backup-simplify]: Simplify 1 into 1 5.469 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.469 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.469 * [taylor]: Taking taylor expansion of (pow U 2) in K 5.469 * [taylor]: Taking taylor expansion of U in K 5.469 * [backup-simplify]: Simplify U into U 5.469 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.469 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 5.469 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.470 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 5.470 * [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))) 5.470 * [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)))) 5.470 * [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))))) 5.470 * [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)))))) 5.470 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.470 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 5.470 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 5.471 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 5.471 * [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 5.471 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 5.472 * [backup-simplify]: Simplify (+ 0 0) into 0 5.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 5.472 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 5.472 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 5.472 * [taylor]: Taking taylor expansion of 1 in J 5.472 * [backup-simplify]: Simplify 1 into 1 5.472 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 5.472 * [taylor]: Taking taylor expansion of 1/4 in J 5.472 * [backup-simplify]: Simplify 1/4 into 1/4 5.472 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 5.472 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.472 * [taylor]: Taking taylor expansion of J in J 5.472 * [backup-simplify]: Simplify 0 into 0 5.472 * [backup-simplify]: Simplify 1 into 1 5.472 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 5.472 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 5.472 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 5.472 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 5.472 * [taylor]: Taking taylor expansion of -1/2 in J 5.472 * [backup-simplify]: Simplify -1/2 into -1/2 5.472 * [taylor]: Taking taylor expansion of K in J 5.472 * [backup-simplify]: Simplify K into K 5.472 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.472 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.472 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.472 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.472 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.473 * [backup-simplify]: Simplify (- 0) into 0 5.473 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.473 * [taylor]: Taking taylor expansion of (pow U 2) in J 5.473 * [taylor]: Taking taylor expansion of U in J 5.473 * [backup-simplify]: Simplify U into U 5.473 * [backup-simplify]: Simplify (* 1 1) into 1 5.473 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 5.473 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.473 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 5.473 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 5.474 * [backup-simplify]: Simplify (+ 1 0) into 1 5.474 * [backup-simplify]: Simplify (sqrt 1) into 1 5.474 * [backup-simplify]: Simplify (+ 0 0) into 0 5.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.475 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 5.475 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 5.475 * [taylor]: Taking taylor expansion of 1 in U 5.475 * [backup-simplify]: Simplify 1 into 1 5.475 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 5.475 * [taylor]: Taking taylor expansion of 1/4 in U 5.475 * [backup-simplify]: Simplify 1/4 into 1/4 5.475 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 5.475 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.475 * [taylor]: Taking taylor expansion of J in U 5.475 * [backup-simplify]: Simplify J into J 5.475 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 5.475 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 5.475 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 5.475 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 5.475 * [taylor]: Taking taylor expansion of -1/2 in U 5.475 * [backup-simplify]: Simplify -1/2 into -1/2 5.475 * [taylor]: Taking taylor expansion of K in U 5.475 * [backup-simplify]: Simplify K into K 5.475 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.475 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.475 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.475 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.475 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.476 * [backup-simplify]: Simplify (- 0) into 0 5.476 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.476 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.476 * [taylor]: Taking taylor expansion of U in U 5.476 * [backup-simplify]: Simplify 0 into 0 5.476 * [backup-simplify]: Simplify 1 into 1 5.476 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.476 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 5.476 * [backup-simplify]: Simplify (* 1 1) into 1 5.477 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 5.477 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 5.477 * [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))) 5.477 * [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))) 5.477 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 5.477 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.479 * [backup-simplify]: Simplify (+ 0) into 0 5.479 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 5.479 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 5.480 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.480 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 5.481 * [backup-simplify]: Simplify (- 0) into 0 5.481 * [backup-simplify]: Simplify (+ 0 0) into 0 5.481 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 5.482 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 5.482 * [backup-simplify]: 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 5.483 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 5.483 * [backup-simplify]: Simplify (+ 0 0) into 0 5.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 5.484 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 5.484 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 5.484 * [taylor]: Taking taylor expansion of 1 in U 5.484 * [backup-simplify]: Simplify 1 into 1 5.484 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 5.484 * [taylor]: Taking taylor expansion of 1/4 in U 5.484 * [backup-simplify]: Simplify 1/4 into 1/4 5.484 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 5.484 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.484 * [taylor]: Taking taylor expansion of J in U 5.484 * [backup-simplify]: Simplify J into J 5.484 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 5.484 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 5.484 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 5.484 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 5.484 * [taylor]: Taking taylor expansion of -1/2 in U 5.484 * [backup-simplify]: Simplify -1/2 into -1/2 5.484 * [taylor]: Taking taylor expansion of K in U 5.484 * [backup-simplify]: Simplify K into K 5.484 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.484 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.484 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.484 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.484 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.485 * [backup-simplify]: Simplify (- 0) into 0 5.485 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.485 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.485 * [taylor]: Taking taylor expansion of U in U 5.485 * [backup-simplify]: Simplify 0 into 0 5.485 * [backup-simplify]: Simplify 1 into 1 5.485 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.485 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 5.486 * [backup-simplify]: Simplify (* 1 1) into 1 5.486 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 5.486 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 5.486 * [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))) 5.486 * [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))) 5.487 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 5.487 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.488 * [backup-simplify]: Simplify (+ 0) into 0 5.488 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 5.489 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 5.492 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.494 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 5.494 * [backup-simplify]: Simplify (- 0) into 0 5.494 * [backup-simplify]: Simplify (+ 0 0) into 0 5.495 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 5.495 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 5.496 * [backup-simplify]: 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 5.496 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 5.497 * [backup-simplify]: Simplify (+ 0 0) into 0 5.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 5.497 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 5.497 * [taylor]: Taking taylor expansion of 1/2 in J 5.497 * [backup-simplify]: Simplify 1/2 into 1/2 5.497 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 5.497 * [taylor]: Taking taylor expansion of J in J 5.497 * [backup-simplify]: Simplify 0 into 0 5.497 * [backup-simplify]: Simplify 1 into 1 5.497 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 5.497 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 5.498 * [taylor]: Taking taylor expansion of -1/2 in J 5.498 * [backup-simplify]: Simplify -1/2 into -1/2 5.498 * [taylor]: Taking taylor expansion of K in J 5.498 * [backup-simplify]: Simplify K into K 5.498 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.498 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.498 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.498 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.498 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.499 * [backup-simplify]: Simplify (- 0) into 0 5.499 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.499 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 5.499 * [taylor]: Taking taylor expansion of 0 in J 5.499 * [backup-simplify]: Simplify 0 into 0 5.499 * [taylor]: Taking taylor expansion of 0 in K 5.499 * [backup-simplify]: Simplify 0 into 0 5.499 * [backup-simplify]: Simplify 0 into 0 5.499 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 5.499 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 5.499 * [taylor]: Taking taylor expansion of 1/2 in K 5.499 * [backup-simplify]: Simplify 1/2 into 1/2 5.499 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 5.499 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 5.499 * [taylor]: Taking taylor expansion of -1/2 in K 5.499 * [backup-simplify]: Simplify -1/2 into -1/2 5.499 * [taylor]: Taking taylor expansion of K in K 5.499 * [backup-simplify]: Simplify 0 into 0 5.499 * [backup-simplify]: Simplify 1 into 1 5.500 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.500 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.500 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 5.500 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 5.501 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 5.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.503 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.503 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 5.504 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 5.504 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.505 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 5.505 * [backup-simplify]: Simplify (- 0) into 0 5.506 * [backup-simplify]: Simplify (+ 0 0) into 0 5.506 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 5.507 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 5.507 * [backup-simplify]: 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 5.508 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 5.509 * [backup-simplify]: Simplify (+ 1 0) into 1 5.510 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 5.510 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 5.510 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 5.510 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 5.510 * [taylor]: Taking taylor expansion of -1/2 in J 5.510 * [backup-simplify]: Simplify -1/2 into -1/2 5.510 * [taylor]: Taking taylor expansion of K in J 5.510 * [backup-simplify]: Simplify K into K 5.510 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.510 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.510 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.510 * [taylor]: Taking taylor expansion of J in J 5.510 * [backup-simplify]: Simplify 0 into 0 5.510 * [backup-simplify]: Simplify 1 into 1 5.510 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.510 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.511 * [backup-simplify]: Simplify (- 0) into 0 5.511 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.511 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.511 * [backup-simplify]: Simplify (+ 0) into 0 5.512 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 5.512 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 5.513 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.513 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 5.513 * [backup-simplify]: Simplify (- 0) into 0 5.514 * [backup-simplify]: Simplify (+ 0 0) into 0 5.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 5.515 * [taylor]: Taking taylor expansion of 0 in K 5.515 * [backup-simplify]: Simplify 0 into 0 5.515 * [backup-simplify]: Simplify 0 into 0 5.515 * [taylor]: Taking taylor expansion of 0 in K 5.515 * [backup-simplify]: Simplify 0 into 0 5.515 * [backup-simplify]: Simplify 0 into 0 5.515 * [backup-simplify]: Simplify (+ 0) into 0 5.516 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 5.516 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 5.516 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.517 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 5.517 * [backup-simplify]: Simplify (- 0) into 0 5.518 * [backup-simplify]: Simplify (+ 0 0) into 0 5.518 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 5.518 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 5.518 * [taylor]: Taking taylor expansion of 0 in K 5.518 * [backup-simplify]: Simplify 0 into 0 5.518 * [backup-simplify]: Simplify 0 into 0 5.518 * [backup-simplify]: Simplify 0 into 0 5.519 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 5.519 * [backup-simplify]: Simplify 0 into 0 5.519 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 5.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.521 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.522 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.522 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 5.524 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 5.524 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 5.525 * [backup-simplify]: Simplify (- 0) into 0 5.525 * [backup-simplify]: Simplify (+ 0 0) into 0 5.526 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 5.527 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.527 * [backup-simplify]: 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 5.528 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 5.529 * [backup-simplify]: Simplify (+ 0 0) into 0 5.529 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 5.529 * [taylor]: Taking taylor expansion of 0 in J 5.529 * [backup-simplify]: Simplify 0 into 0 5.529 * [taylor]: Taking taylor expansion of 0 in K 5.529 * [backup-simplify]: Simplify 0 into 0 5.529 * [backup-simplify]: Simplify 0 into 0 5.530 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 5.530 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 5.530 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 5.530 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0 5.530 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 5.530 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 5.530 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 5.530 * [taylor]: Taking taylor expansion of 1/4 in K 5.530 * [backup-simplify]: Simplify 1/4 into 1/4 5.530 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 5.530 * [taylor]: Taking taylor expansion of (pow U 2) in K 5.530 * [taylor]: Taking taylor expansion of U in K 5.530 * [backup-simplify]: Simplify U into U 5.530 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 5.530 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 5.531 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 5.531 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 5.531 * [taylor]: Taking taylor expansion of 1/2 in K 5.531 * [backup-simplify]: Simplify 1/2 into 1/2 5.531 * [taylor]: Taking taylor expansion of K in K 5.531 * [backup-simplify]: Simplify 0 into 0 5.531 * [backup-simplify]: Simplify 1 into 1 5.531 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.532 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.532 * [taylor]: Taking taylor expansion of (pow J 2) in K 5.532 * [taylor]: Taking taylor expansion of J in K 5.532 * [backup-simplify]: Simplify J into J 5.532 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.532 * [backup-simplify]: Simplify (* 1 1) into 1 5.532 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.533 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 5.533 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 5.533 * [taylor]: Taking taylor expansion of 1 in K 5.533 * [backup-simplify]: Simplify 1 into 1 5.533 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 5.533 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 5.533 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 5.533 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 5.534 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.534 * [backup-simplify]: Simplify (+ 0) into 0 5.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 5.535 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 5.536 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 5.536 * [backup-simplify]: Simplify (+ 0 0) into 0 5.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 5.537 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 5.537 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 5.537 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 5.537 * [taylor]: Taking taylor expansion of 1/4 in J 5.537 * [backup-simplify]: Simplify 1/4 into 1/4 5.537 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 5.537 * [taylor]: Taking taylor expansion of (pow U 2) in J 5.537 * [taylor]: Taking taylor expansion of U in J 5.537 * [backup-simplify]: Simplify U into U 5.537 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 5.537 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 5.537 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 5.537 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 5.537 * [taylor]: Taking taylor expansion of 1/2 in J 5.537 * [backup-simplify]: Simplify 1/2 into 1/2 5.537 * [taylor]: Taking taylor expansion of K in J 5.537 * [backup-simplify]: Simplify K into K 5.537 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.537 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.537 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.537 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.538 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.538 * [backup-simplify]: Simplify (- 0) into 0 5.538 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.538 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.538 * [taylor]: Taking taylor expansion of J in J 5.538 * [backup-simplify]: Simplify 0 into 0 5.538 * [backup-simplify]: Simplify 1 into 1 5.538 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.539 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 5.539 * [backup-simplify]: Simplify (* 1 1) into 1 5.539 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 5.539 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 5.539 * [taylor]: Taking taylor expansion of 1 in J 5.539 * [backup-simplify]: Simplify 1 into 1 5.540 * [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))) 5.540 * [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))) 5.540 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 5.540 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 5.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.541 * [backup-simplify]: Simplify (+ 0) into 0 5.542 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 5.542 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 5.543 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.544 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 5.544 * [backup-simplify]: Simplify (- 0) into 0 5.544 * [backup-simplify]: Simplify (+ 0 0) into 0 5.545 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 5.545 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 5.545 * [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 5.546 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 5.546 * [backup-simplify]: Simplify (+ 0 0) into 0 5.547 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 5.547 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 5.547 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 5.547 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 5.547 * [taylor]: Taking taylor expansion of 1/4 in U 5.547 * [backup-simplify]: Simplify 1/4 into 1/4 5.547 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 5.547 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.547 * [taylor]: Taking taylor expansion of U in U 5.547 * [backup-simplify]: Simplify 0 into 0 5.547 * [backup-simplify]: Simplify 1 into 1 5.547 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 5.547 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 5.547 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 5.547 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 5.547 * [taylor]: Taking taylor expansion of 1/2 in U 5.547 * [backup-simplify]: Simplify 1/2 into 1/2 5.547 * [taylor]: Taking taylor expansion of K in U 5.547 * [backup-simplify]: Simplify K into K 5.547 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.547 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.547 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.548 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.548 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.548 * [backup-simplify]: Simplify (- 0) into 0 5.548 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.548 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.548 * [taylor]: Taking taylor expansion of J in U 5.548 * [backup-simplify]: Simplify J into J 5.549 * [backup-simplify]: Simplify (* 1 1) into 1 5.549 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 5.549 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.549 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 5.549 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 5.549 * [taylor]: Taking taylor expansion of 1 in U 5.549 * [backup-simplify]: Simplify 1 into 1 5.550 * [backup-simplify]: Simplify (+ 0 1) into 1 5.550 * [backup-simplify]: Simplify (sqrt 1) into 1 5.550 * [backup-simplify]: Simplify (+ 0 0) into 0 5.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.551 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 5.551 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 5.551 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 5.551 * [taylor]: Taking taylor expansion of 1/4 in U 5.552 * [backup-simplify]: Simplify 1/4 into 1/4 5.552 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 5.552 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.552 * [taylor]: Taking taylor expansion of U in U 5.552 * [backup-simplify]: Simplify 0 into 0 5.552 * [backup-simplify]: Simplify 1 into 1 5.552 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 5.552 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 5.552 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 5.552 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 5.552 * [taylor]: Taking taylor expansion of 1/2 in U 5.552 * [backup-simplify]: Simplify 1/2 into 1/2 5.552 * [taylor]: Taking taylor expansion of K in U 5.552 * [backup-simplify]: Simplify K into K 5.552 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.552 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.552 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.552 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.552 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.553 * [backup-simplify]: Simplify (- 0) into 0 5.553 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.553 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.553 * [taylor]: Taking taylor expansion of J in U 5.553 * [backup-simplify]: Simplify J into J 5.553 * [backup-simplify]: Simplify (* 1 1) into 1 5.553 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 5.553 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.554 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 5.554 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 5.554 * [taylor]: Taking taylor expansion of 1 in U 5.554 * [backup-simplify]: Simplify 1 into 1 5.554 * [backup-simplify]: Simplify (+ 0 1) into 1 5.555 * [backup-simplify]: Simplify (sqrt 1) into 1 5.555 * [backup-simplify]: Simplify (+ 0 0) into 0 5.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.556 * [taylor]: Taking taylor expansion of 1 in J 5.556 * [backup-simplify]: Simplify 1 into 1 5.556 * [taylor]: Taking taylor expansion of 0 in J 5.556 * [backup-simplify]: Simplify 0 into 0 5.556 * [taylor]: Taking taylor expansion of 1 in K 5.556 * [backup-simplify]: Simplify 1 into 1 5.556 * [backup-simplify]: Simplify 1 into 1 5.556 * [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))) 5.556 * [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)))) 5.558 * [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))) 5.558 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 5.558 * [taylor]: Taking taylor expansion of 1/8 in J 5.558 * [backup-simplify]: Simplify 1/8 into 1/8 5.558 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 5.558 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 5.558 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 5.558 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 5.558 * [taylor]: Taking taylor expansion of 1/2 in J 5.558 * [backup-simplify]: Simplify 1/2 into 1/2 5.558 * [taylor]: Taking taylor expansion of K in J 5.558 * [backup-simplify]: Simplify K into K 5.558 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.558 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.558 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.558 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.559 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.559 * [backup-simplify]: Simplify (- 0) into 0 5.559 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.559 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.559 * [taylor]: Taking taylor expansion of J in J 5.559 * [backup-simplify]: Simplify 0 into 0 5.559 * [backup-simplify]: Simplify 1 into 1 5.559 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 5.560 * [backup-simplify]: Simplify (* 1 1) into 1 5.560 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 5.560 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 5.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.561 * [backup-simplify]: Simplify (+ 0) into 0 5.561 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 5.562 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 5.563 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.563 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 5.564 * [backup-simplify]: Simplify (- 0) into 0 5.564 * [backup-simplify]: Simplify (+ 0 0) into 0 5.564 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 5.565 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 5.565 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 5.565 * [taylor]: Taking taylor expansion of 0 in K 5.565 * [backup-simplify]: Simplify 0 into 0 5.565 * [backup-simplify]: Simplify 0 into 0 5.565 * [taylor]: Taking taylor expansion of 0 in K 5.565 * [backup-simplify]: Simplify 0 into 0 5.565 * [backup-simplify]: Simplify 0 into 0 5.565 * [taylor]: Taking taylor expansion of 0 in K 5.565 * [backup-simplify]: Simplify 0 into 0 5.565 * [backup-simplify]: Simplify 0 into 0 5.565 * [backup-simplify]: Simplify 0 into 0 5.566 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.566 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.567 * [backup-simplify]: Simplify (+ 0) into 0 5.567 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 5.568 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 5.569 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.569 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 5.569 * [backup-simplify]: Simplify (- 0) into 0 5.570 * [backup-simplify]: Simplify (+ 0 0) into 0 5.570 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 5.570 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 5.571 * [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 5.571 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 5.572 * [backup-simplify]: Simplify (+ 0 0) into 0 5.573 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 5.573 * [taylor]: Taking taylor expansion of 0 in J 5.573 * [backup-simplify]: Simplify 0 into 0 5.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.575 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.576 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 5.577 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 5.577 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.578 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 5.578 * [backup-simplify]: Simplify (- 0) into 0 5.579 * [backup-simplify]: Simplify (+ 0 0) into 0 5.580 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 5.581 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 5.581 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 5.581 * [taylor]: Taking taylor expansion of 0 in K 5.581 * [backup-simplify]: Simplify 0 into 0 5.581 * [backup-simplify]: Simplify 0 into 0 5.581 * [taylor]: Taking taylor expansion of 0 in K 5.581 * [backup-simplify]: Simplify 0 into 0 5.581 * [backup-simplify]: Simplify 0 into 0 5.581 * [backup-simplify]: Simplify 1 into 1 5.582 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (+ (/ 1 J) (/ 1 J)) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (+ (/ 1 J) (/ 1 J)) (cos (/ (/ 1 K) 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 5.582 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0 5.582 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 5.582 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 5.582 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 5.582 * [taylor]: Taking taylor expansion of 1/4 in K 5.582 * [backup-simplify]: Simplify 1/4 into 1/4 5.582 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 5.582 * [taylor]: Taking taylor expansion of (pow J 2) in K 5.582 * [taylor]: Taking taylor expansion of J in K 5.583 * [backup-simplify]: Simplify J into J 5.583 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 5.583 * [taylor]: Taking taylor expansion of (pow U 2) in K 5.583 * [taylor]: Taking taylor expansion of U in K 5.583 * [backup-simplify]: Simplify U into U 5.583 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 5.583 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 5.583 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 5.583 * [taylor]: Taking taylor expansion of 1/2 in K 5.583 * [backup-simplify]: Simplify 1/2 into 1/2 5.583 * [taylor]: Taking taylor expansion of K in K 5.583 * [backup-simplify]: Simplify 0 into 0 5.583 * [backup-simplify]: Simplify 1 into 1 5.584 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.584 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.584 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.584 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.584 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 5.584 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 5.584 * [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))) 5.584 * [taylor]: Taking taylor expansion of 1 in K 5.584 * [backup-simplify]: Simplify 1 into 1 5.585 * [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)))) 5.585 * [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) 5.586 * [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)) 5.586 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.586 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 5.586 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 5.586 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 5.587 * [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 5.588 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 5.588 * [backup-simplify]: Simplify (+ 0 0) into 0 5.589 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 5.589 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 5.589 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 5.589 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 5.589 * [taylor]: Taking taylor expansion of 1/4 in J 5.589 * [backup-simplify]: Simplify 1/4 into 1/4 5.589 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 5.589 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.589 * [taylor]: Taking taylor expansion of J in J 5.589 * [backup-simplify]: Simplify 0 into 0 5.589 * [backup-simplify]: Simplify 1 into 1 5.589 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 5.589 * [taylor]: Taking taylor expansion of (pow U 2) in J 5.589 * [taylor]: Taking taylor expansion of U in J 5.589 * [backup-simplify]: Simplify U into U 5.589 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 5.589 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 5.589 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 5.589 * [taylor]: Taking taylor expansion of 1/2 in J 5.590 * [backup-simplify]: Simplify 1/2 into 1/2 5.590 * [taylor]: Taking taylor expansion of K in J 5.590 * [backup-simplify]: Simplify K into K 5.590 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.590 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.590 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.590 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.590 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.590 * [backup-simplify]: Simplify (- 0) into 0 5.591 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.591 * [backup-simplify]: Simplify (* 1 1) into 1 5.591 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.591 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 5.591 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 5.592 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 5.592 * [taylor]: Taking taylor expansion of 1 in J 5.592 * [backup-simplify]: Simplify 1 into 1 5.592 * [backup-simplify]: Simplify (+ 0 1) into 1 5.593 * [backup-simplify]: Simplify (sqrt 1) into 1 5.593 * [backup-simplify]: Simplify (+ 0 0) into 0 5.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.594 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 5.594 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 5.594 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 5.594 * [taylor]: Taking taylor expansion of 1/4 in U 5.594 * [backup-simplify]: Simplify 1/4 into 1/4 5.594 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 5.594 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.594 * [taylor]: Taking taylor expansion of J in U 5.594 * [backup-simplify]: Simplify J into J 5.594 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 5.594 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.594 * [taylor]: Taking taylor expansion of U in U 5.594 * [backup-simplify]: Simplify 0 into 0 5.594 * [backup-simplify]: Simplify 1 into 1 5.594 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 5.594 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 5.594 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 5.594 * [taylor]: Taking taylor expansion of 1/2 in U 5.594 * [backup-simplify]: Simplify 1/2 into 1/2 5.594 * [taylor]: Taking taylor expansion of K in U 5.594 * [backup-simplify]: Simplify K into K 5.594 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.595 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.595 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.595 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.595 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.595 * [backup-simplify]: Simplify (- 0) into 0 5.595 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.596 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.596 * [backup-simplify]: Simplify (* 1 1) into 1 5.596 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 5.596 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 5.596 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 5.596 * [taylor]: Taking taylor expansion of 1 in U 5.596 * [backup-simplify]: Simplify 1 into 1 5.597 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 5.597 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 5.597 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 5.597 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.598 * [backup-simplify]: Simplify (+ 0) into 0 5.598 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 5.599 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 5.599 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.600 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 5.600 * [backup-simplify]: Simplify (- 0) into 0 5.601 * [backup-simplify]: Simplify (+ 0 0) into 0 5.601 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 5.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.603 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 5.603 * [backup-simplify]: 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 5.604 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 5.604 * [backup-simplify]: Simplify (+ 0 0) into 0 5.604 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 5.604 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 5.605 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 5.605 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 5.605 * [taylor]: Taking taylor expansion of 1/4 in U 5.605 * [backup-simplify]: Simplify 1/4 into 1/4 5.605 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 5.605 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.605 * [taylor]: Taking taylor expansion of J in U 5.605 * [backup-simplify]: Simplify J into J 5.605 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 5.605 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.605 * [taylor]: Taking taylor expansion of U in U 5.605 * [backup-simplify]: Simplify 0 into 0 5.605 * [backup-simplify]: Simplify 1 into 1 5.605 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 5.605 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 5.605 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 5.605 * [taylor]: Taking taylor expansion of 1/2 in U 5.605 * [backup-simplify]: Simplify 1/2 into 1/2 5.605 * [taylor]: Taking taylor expansion of K in U 5.605 * [backup-simplify]: Simplify K into K 5.605 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.605 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.605 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.605 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.606 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.606 * [backup-simplify]: Simplify (- 0) into 0 5.606 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.606 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.607 * [backup-simplify]: Simplify (* 1 1) into 1 5.607 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 5.607 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 5.607 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 5.607 * [taylor]: Taking taylor expansion of 1 in U 5.607 * [backup-simplify]: Simplify 1 into 1 5.607 * [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))) 5.608 * [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))) 5.608 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 5.608 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.609 * [backup-simplify]: Simplify (+ 0) into 0 5.609 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 5.609 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 5.610 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.611 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 5.611 * [backup-simplify]: Simplify (- 0) into 0 5.612 * [backup-simplify]: Simplify (+ 0 0) into 0 5.612 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 5.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 5.613 * [backup-simplify]: 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 5.614 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 5.614 * [backup-simplify]: Simplify (+ 0 0) into 0 5.615 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 5.615 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 5.615 * [taylor]: Taking taylor expansion of 1/2 in J 5.615 * [backup-simplify]: Simplify 1/2 into 1/2 5.615 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 5.615 * [taylor]: Taking taylor expansion of J in J 5.615 * [backup-simplify]: Simplify 0 into 0 5.615 * [backup-simplify]: Simplify 1 into 1 5.615 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 5.615 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 5.615 * [taylor]: Taking taylor expansion of 1/2 in J 5.615 * [backup-simplify]: Simplify 1/2 into 1/2 5.615 * [taylor]: Taking taylor expansion of K in J 5.615 * [backup-simplify]: Simplify K into K 5.615 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.615 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.615 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.615 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.616 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.616 * [backup-simplify]: Simplify (- 0) into 0 5.616 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.616 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 5.616 * [taylor]: Taking taylor expansion of 0 in J 5.616 * [backup-simplify]: Simplify 0 into 0 5.616 * [taylor]: Taking taylor expansion of 0 in K 5.616 * [backup-simplify]: Simplify 0 into 0 5.616 * [backup-simplify]: Simplify 0 into 0 5.616 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 5.616 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 5.616 * [taylor]: Taking taylor expansion of 1/2 in K 5.617 * [backup-simplify]: Simplify 1/2 into 1/2 5.617 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 5.617 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 5.617 * [taylor]: Taking taylor expansion of 1/2 in K 5.617 * [backup-simplify]: Simplify 1/2 into 1/2 5.617 * [taylor]: Taking taylor expansion of K in K 5.617 * [backup-simplify]: Simplify 0 into 0 5.617 * [backup-simplify]: Simplify 1 into 1 5.617 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.617 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.617 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 5.617 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 5.618 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 5.619 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.620 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 5.620 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 5.621 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.621 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 5.621 * [backup-simplify]: Simplify (- 0) into 0 5.622 * [backup-simplify]: Simplify (+ 0 0) into 0 5.622 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 5.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 5.625 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 5.626 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 5.626 * [backup-simplify]: Simplify (+ 0 1) into 1 5.627 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 5.627 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 5.627 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 5.627 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 5.627 * [taylor]: Taking taylor expansion of 1/2 in J 5.627 * [backup-simplify]: Simplify 1/2 into 1/2 5.627 * [taylor]: Taking taylor expansion of K in J 5.627 * [backup-simplify]: Simplify K into K 5.627 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.627 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.628 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.628 * [taylor]: Taking taylor expansion of J in J 5.628 * [backup-simplify]: Simplify 0 into 0 5.628 * [backup-simplify]: Simplify 1 into 1 5.628 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.628 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.628 * [backup-simplify]: Simplify (- 0) into 0 5.628 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.628 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.629 * [backup-simplify]: Simplify (+ 0) into 0 5.629 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 5.629 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 5.630 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.631 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 5.631 * [backup-simplify]: Simplify (- 0) into 0 5.631 * [backup-simplify]: Simplify (+ 0 0) into 0 5.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 5.632 * [taylor]: Taking taylor expansion of 0 in K 5.632 * [backup-simplify]: Simplify 0 into 0 5.632 * [backup-simplify]: Simplify 0 into 0 5.633 * [taylor]: Taking taylor expansion of 0 in K 5.633 * [backup-simplify]: Simplify 0 into 0 5.633 * [backup-simplify]: Simplify 0 into 0 5.633 * [backup-simplify]: Simplify (+ 0) into 0 5.634 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 5.634 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 5.634 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.635 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 5.635 * [backup-simplify]: Simplify (- 0) into 0 5.636 * [backup-simplify]: Simplify (+ 0 0) into 0 5.636 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 5.636 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 5.636 * [taylor]: Taking taylor expansion of 0 in K 5.637 * [backup-simplify]: Simplify 0 into 0 5.637 * [backup-simplify]: Simplify 0 into 0 5.637 * [backup-simplify]: Simplify 0 into 0 5.637 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 5.637 * [backup-simplify]: Simplify 0 into 0 5.638 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 5.639 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.640 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.640 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 5.642 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 5.642 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 5.643 * [backup-simplify]: Simplify (- 0) into 0 5.643 * [backup-simplify]: Simplify (+ 0 0) into 0 5.644 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 5.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 5.649 * [backup-simplify]: 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 5.650 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 5.651 * [backup-simplify]: Simplify (+ 0 0) into 0 5.651 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 5.651 * [taylor]: Taking taylor expansion of 0 in J 5.651 * [backup-simplify]: Simplify 0 into 0 5.651 * [taylor]: Taking taylor expansion of 0 in K 5.651 * [backup-simplify]: Simplify 0 into 0 5.651 * [backup-simplify]: Simplify 0 into 0 5.651 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 5.652 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (+ (/ 1 (- J)) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (+ (/ 1 (- J)) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 5.653 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0 5.653 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 5.653 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 5.653 * [taylor]: Taking taylor expansion of 1 in K 5.653 * [backup-simplify]: Simplify 1 into 1 5.653 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 5.653 * [taylor]: Taking taylor expansion of 1/4 in K 5.653 * [backup-simplify]: Simplify 1/4 into 1/4 5.653 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 5.653 * [taylor]: Taking taylor expansion of (pow J 2) in K 5.653 * [taylor]: Taking taylor expansion of J in K 5.653 * [backup-simplify]: Simplify J into J 5.653 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 5.653 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 5.653 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 5.653 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 5.653 * [taylor]: Taking taylor expansion of -1/2 in K 5.653 * [backup-simplify]: Simplify -1/2 into -1/2 5.653 * [taylor]: Taking taylor expansion of K in K 5.653 * [backup-simplify]: Simplify 0 into 0 5.653 * [backup-simplify]: Simplify 1 into 1 5.654 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.654 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.654 * [taylor]: Taking taylor expansion of (pow U 2) in K 5.654 * [taylor]: Taking taylor expansion of U in K 5.654 * [backup-simplify]: Simplify U into U 5.654 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.654 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 5.654 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.654 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 5.654 * [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))) 5.655 * [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)))) 5.655 * [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))))) 5.656 * [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)))))) 5.656 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.656 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 5.656 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 5.656 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 5.657 * [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 5.657 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 5.658 * [backup-simplify]: Simplify (+ 0 0) into 0 5.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 5.658 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 5.658 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 5.658 * [taylor]: Taking taylor expansion of 1 in J 5.658 * [backup-simplify]: Simplify 1 into 1 5.658 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 5.658 * [taylor]: Taking taylor expansion of 1/4 in J 5.658 * [backup-simplify]: Simplify 1/4 into 1/4 5.659 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 5.659 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.659 * [taylor]: Taking taylor expansion of J in J 5.659 * [backup-simplify]: Simplify 0 into 0 5.659 * [backup-simplify]: Simplify 1 into 1 5.659 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 5.659 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 5.659 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 5.659 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 5.659 * [taylor]: Taking taylor expansion of -1/2 in J 5.659 * [backup-simplify]: Simplify -1/2 into -1/2 5.659 * [taylor]: Taking taylor expansion of K in J 5.659 * [backup-simplify]: Simplify K into K 5.659 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.659 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.659 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.659 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.659 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.660 * [backup-simplify]: Simplify (- 0) into 0 5.660 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.660 * [taylor]: Taking taylor expansion of (pow U 2) in J 5.660 * [taylor]: Taking taylor expansion of U in J 5.660 * [backup-simplify]: Simplify U into U 5.660 * [backup-simplify]: Simplify (* 1 1) into 1 5.660 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 5.660 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.661 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 5.661 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 5.661 * [backup-simplify]: Simplify (+ 1 0) into 1 5.662 * [backup-simplify]: Simplify (sqrt 1) into 1 5.662 * [backup-simplify]: Simplify (+ 0 0) into 0 5.663 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.663 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 5.663 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 5.663 * [taylor]: Taking taylor expansion of 1 in U 5.663 * [backup-simplify]: Simplify 1 into 1 5.663 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 5.663 * [taylor]: Taking taylor expansion of 1/4 in U 5.663 * [backup-simplify]: Simplify 1/4 into 1/4 5.663 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 5.663 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.663 * [taylor]: Taking taylor expansion of J in U 5.663 * [backup-simplify]: Simplify J into J 5.663 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 5.663 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 5.663 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 5.663 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 5.663 * [taylor]: Taking taylor expansion of -1/2 in U 5.663 * [backup-simplify]: Simplify -1/2 into -1/2 5.663 * [taylor]: Taking taylor expansion of K in U 5.663 * [backup-simplify]: Simplify K into K 5.663 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.663 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.663 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.663 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.664 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.664 * [backup-simplify]: Simplify (- 0) into 0 5.664 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.664 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.664 * [taylor]: Taking taylor expansion of U in U 5.664 * [backup-simplify]: Simplify 0 into 0 5.664 * [backup-simplify]: Simplify 1 into 1 5.664 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.664 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 5.665 * [backup-simplify]: Simplify (* 1 1) into 1 5.665 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 5.665 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 5.665 * [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))) 5.665 * [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))) 5.666 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 5.666 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.666 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.667 * [backup-simplify]: Simplify (+ 0) into 0 5.667 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 5.667 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 5.668 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.668 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 5.669 * [backup-simplify]: Simplify (- 0) into 0 5.669 * [backup-simplify]: Simplify (+ 0 0) into 0 5.669 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 5.670 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 5.670 * [backup-simplify]: 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 5.671 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 5.671 * [backup-simplify]: Simplify (+ 0 0) into 0 5.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 5.671 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 5.671 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 5.672 * [taylor]: Taking taylor expansion of 1 in U 5.672 * [backup-simplify]: Simplify 1 into 1 5.672 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 5.672 * [taylor]: Taking taylor expansion of 1/4 in U 5.672 * [backup-simplify]: Simplify 1/4 into 1/4 5.672 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 5.672 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.672 * [taylor]: Taking taylor expansion of J in U 5.672 * [backup-simplify]: Simplify J into J 5.672 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 5.672 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 5.672 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 5.672 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 5.672 * [taylor]: Taking taylor expansion of -1/2 in U 5.672 * [backup-simplify]: Simplify -1/2 into -1/2 5.672 * [taylor]: Taking taylor expansion of K in U 5.672 * [backup-simplify]: Simplify K into K 5.672 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.672 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.672 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.672 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.672 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.673 * [backup-simplify]: Simplify (- 0) into 0 5.673 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.673 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.673 * [taylor]: Taking taylor expansion of U in U 5.673 * [backup-simplify]: Simplify 0 into 0 5.673 * [backup-simplify]: Simplify 1 into 1 5.673 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.673 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 5.673 * [backup-simplify]: Simplify (* 1 1) into 1 5.674 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 5.674 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 5.674 * [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))) 5.674 * [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))) 5.674 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 5.674 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.676 * [backup-simplify]: Simplify (+ 0) into 0 5.676 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 5.676 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 5.677 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.677 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 5.678 * [backup-simplify]: Simplify (- 0) into 0 5.678 * [backup-simplify]: Simplify (+ 0 0) into 0 5.678 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 5.679 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 5.679 * [backup-simplify]: 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 5.680 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 5.680 * [backup-simplify]: Simplify (+ 0 0) into 0 5.681 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 5.681 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 5.681 * [taylor]: Taking taylor expansion of 1/2 in J 5.681 * [backup-simplify]: Simplify 1/2 into 1/2 5.681 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 5.681 * [taylor]: Taking taylor expansion of J in J 5.681 * [backup-simplify]: Simplify 0 into 0 5.681 * [backup-simplify]: Simplify 1 into 1 5.681 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 5.681 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 5.681 * [taylor]: Taking taylor expansion of -1/2 in J 5.681 * [backup-simplify]: Simplify -1/2 into -1/2 5.681 * [taylor]: Taking taylor expansion of K in J 5.681 * [backup-simplify]: Simplify K into K 5.681 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.681 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.681 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.681 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.681 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.682 * [backup-simplify]: Simplify (- 0) into 0 5.682 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.682 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 5.682 * [taylor]: Taking taylor expansion of 0 in J 5.682 * [backup-simplify]: Simplify 0 into 0 5.682 * [taylor]: Taking taylor expansion of 0 in K 5.682 * [backup-simplify]: Simplify 0 into 0 5.682 * [backup-simplify]: Simplify 0 into 0 5.682 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 5.682 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 5.683 * [taylor]: Taking taylor expansion of 1/2 in K 5.683 * [backup-simplify]: Simplify 1/2 into 1/2 5.683 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 5.683 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 5.683 * [taylor]: Taking taylor expansion of -1/2 in K 5.683 * [backup-simplify]: Simplify -1/2 into -1/2 5.683 * [taylor]: Taking taylor expansion of K in K 5.683 * [backup-simplify]: Simplify 0 into 0 5.683 * [backup-simplify]: Simplify 1 into 1 5.683 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.683 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.683 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 5.683 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 5.684 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 5.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.686 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.688 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 5.688 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 5.690 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.691 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 5.691 * [backup-simplify]: Simplify (- 0) into 0 5.691 * [backup-simplify]: Simplify (+ 0 0) into 0 5.692 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 5.693 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 5.693 * [backup-simplify]: 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 5.694 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 5.695 * [backup-simplify]: Simplify (+ 1 0) into 1 5.696 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 5.696 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 5.696 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 5.696 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 5.696 * [taylor]: Taking taylor expansion of -1/2 in J 5.696 * [backup-simplify]: Simplify -1/2 into -1/2 5.696 * [taylor]: Taking taylor expansion of K in J 5.696 * [backup-simplify]: Simplify K into K 5.696 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.696 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.696 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.696 * [taylor]: Taking taylor expansion of J in J 5.696 * [backup-simplify]: Simplify 0 into 0 5.696 * [backup-simplify]: Simplify 1 into 1 5.696 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.696 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.697 * [backup-simplify]: Simplify (- 0) into 0 5.697 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.697 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.697 * [backup-simplify]: Simplify (+ 0) into 0 5.698 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 5.698 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 5.699 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.699 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 5.700 * [backup-simplify]: Simplify (- 0) into 0 5.700 * [backup-simplify]: Simplify (+ 0 0) into 0 5.701 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 5.701 * [taylor]: Taking taylor expansion of 0 in K 5.701 * [backup-simplify]: Simplify 0 into 0 5.701 * [backup-simplify]: Simplify 0 into 0 5.701 * [taylor]: Taking taylor expansion of 0 in K 5.701 * [backup-simplify]: Simplify 0 into 0 5.701 * [backup-simplify]: Simplify 0 into 0 5.702 * [backup-simplify]: Simplify (+ 0) into 0 5.702 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 5.702 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 5.703 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.704 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 5.704 * [backup-simplify]: Simplify (- 0) into 0 5.704 * [backup-simplify]: Simplify (+ 0 0) into 0 5.704 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 5.704 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 5.704 * [taylor]: Taking taylor expansion of 0 in K 5.704 * [backup-simplify]: Simplify 0 into 0 5.705 * [backup-simplify]: Simplify 0 into 0 5.705 * [backup-simplify]: Simplify 0 into 0 5.705 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 5.705 * [backup-simplify]: Simplify 0 into 0 5.705 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 5.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.706 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.707 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.707 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 5.708 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 5.708 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 5.709 * [backup-simplify]: Simplify (- 0) into 0 5.709 * [backup-simplify]: Simplify (+ 0 0) into 0 5.709 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 5.710 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.710 * [backup-simplify]: 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 5.711 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 5.711 * [backup-simplify]: Simplify (+ 0 0) into 0 5.711 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 5.711 * [taylor]: Taking taylor expansion of 0 in J 5.711 * [backup-simplify]: Simplify 0 into 0 5.711 * [taylor]: Taking taylor expansion of 0 in K 5.711 * [backup-simplify]: Simplify 0 into 0 5.711 * [backup-simplify]: Simplify 0 into 0 5.712 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 5.712 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 5.712 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) into (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) 5.712 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in (U J K) around 0 5.712 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in K 5.712 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 5.712 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 5.712 * [taylor]: Taking taylor expansion of 1/4 in K 5.712 * [backup-simplify]: Simplify 1/4 into 1/4 5.712 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 5.712 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 5.712 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 5.712 * [taylor]: Taking taylor expansion of 1/4 in K 5.712 * [backup-simplify]: Simplify 1/4 into 1/4 5.712 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 5.712 * [taylor]: Taking taylor expansion of (pow U 2) in K 5.712 * [taylor]: Taking taylor expansion of U in K 5.712 * [backup-simplify]: Simplify U into U 5.712 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 5.712 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 5.712 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 5.712 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 5.712 * [taylor]: Taking taylor expansion of 1/2 in K 5.712 * [backup-simplify]: Simplify 1/2 into 1/2 5.712 * [taylor]: Taking taylor expansion of K in K 5.712 * [backup-simplify]: Simplify 0 into 0 5.712 * [backup-simplify]: Simplify 1 into 1 5.713 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.713 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.713 * [taylor]: Taking taylor expansion of (pow J 2) in K 5.713 * [taylor]: Taking taylor expansion of J in K 5.713 * [backup-simplify]: Simplify J into J 5.713 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.713 * [backup-simplify]: Simplify (* 1 1) into 1 5.713 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.714 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 5.714 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 5.714 * [taylor]: Taking taylor expansion of 1 in K 5.714 * [backup-simplify]: Simplify 1 into 1 5.714 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 5.714 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 5.714 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 5.714 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 5.714 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4) 5.714 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in J 5.714 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 5.714 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 5.714 * [taylor]: Taking taylor expansion of 1/4 in J 5.714 * [backup-simplify]: Simplify 1/4 into 1/4 5.714 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 5.714 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 5.714 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 5.714 * [taylor]: Taking taylor expansion of 1/4 in J 5.714 * [backup-simplify]: Simplify 1/4 into 1/4 5.715 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 5.715 * [taylor]: Taking taylor expansion of (pow U 2) in J 5.715 * [taylor]: Taking taylor expansion of U in J 5.715 * [backup-simplify]: Simplify U into U 5.715 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 5.715 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 5.715 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 5.715 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 5.715 * [taylor]: Taking taylor expansion of 1/2 in J 5.715 * [backup-simplify]: Simplify 1/2 into 1/2 5.715 * [taylor]: Taking taylor expansion of K in J 5.715 * [backup-simplify]: Simplify K into K 5.715 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.715 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.715 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.715 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.715 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.715 * [backup-simplify]: Simplify (- 0) into 0 5.715 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.715 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.715 * [taylor]: Taking taylor expansion of J in J 5.715 * [backup-simplify]: Simplify 0 into 0 5.715 * [backup-simplify]: Simplify 1 into 1 5.715 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.715 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 5.716 * [backup-simplify]: Simplify (* 1 1) into 1 5.716 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 5.716 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 5.716 * [taylor]: Taking taylor expansion of 1 in J 5.716 * [backup-simplify]: Simplify 1 into 1 5.716 * [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))) 5.716 * [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))) 5.716 * [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)))) 5.717 * [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))) 5.717 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) into (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) 5.717 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) 5.717 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in U 5.717 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 5.717 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 5.717 * [taylor]: Taking taylor expansion of 1/4 in U 5.717 * [backup-simplify]: Simplify 1/4 into 1/4 5.717 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 5.717 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 5.717 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 5.717 * [taylor]: Taking taylor expansion of 1/4 in U 5.717 * [backup-simplify]: Simplify 1/4 into 1/4 5.717 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 5.717 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.717 * [taylor]: Taking taylor expansion of U in U 5.717 * [backup-simplify]: Simplify 0 into 0 5.717 * [backup-simplify]: Simplify 1 into 1 5.717 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 5.717 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 5.717 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 5.717 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 5.717 * [taylor]: Taking taylor expansion of 1/2 in U 5.717 * [backup-simplify]: Simplify 1/2 into 1/2 5.717 * [taylor]: Taking taylor expansion of K in U 5.717 * [backup-simplify]: Simplify K into K 5.717 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.717 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.717 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.717 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.718 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.718 * [backup-simplify]: Simplify (- 0) into 0 5.718 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.718 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.718 * [taylor]: Taking taylor expansion of J in U 5.718 * [backup-simplify]: Simplify J into J 5.718 * [backup-simplify]: Simplify (* 1 1) into 1 5.718 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 5.718 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.718 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 5.718 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 5.718 * [taylor]: Taking taylor expansion of 1 in U 5.718 * [backup-simplify]: Simplify 1 into 1 5.719 * [backup-simplify]: Simplify (+ 0 1) into 1 5.719 * [backup-simplify]: Simplify (log 1) into 0 5.719 * [backup-simplify]: Simplify (* 1/4 0) into 0 5.720 * [backup-simplify]: Simplify (+ 0 0) into 0 5.720 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.721 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 5.721 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 5.721 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 5.722 * [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))) 5.723 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 5.723 * [backup-simplify]: Simplify (exp 0) into 1 5.723 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in U 5.723 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 5.723 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 5.723 * [taylor]: Taking taylor expansion of 1/4 in U 5.723 * [backup-simplify]: Simplify 1/4 into 1/4 5.723 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 5.723 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 5.723 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 5.723 * [taylor]: Taking taylor expansion of 1/4 in U 5.723 * [backup-simplify]: Simplify 1/4 into 1/4 5.723 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 5.723 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.723 * [taylor]: Taking taylor expansion of U in U 5.723 * [backup-simplify]: Simplify 0 into 0 5.723 * [backup-simplify]: Simplify 1 into 1 5.723 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 5.723 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 5.723 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 5.723 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 5.723 * [taylor]: Taking taylor expansion of 1/2 in U 5.723 * [backup-simplify]: Simplify 1/2 into 1/2 5.723 * [taylor]: Taking taylor expansion of K in U 5.723 * [backup-simplify]: Simplify K into K 5.723 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.723 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.723 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.723 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.723 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.724 * [backup-simplify]: Simplify (- 0) into 0 5.724 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.724 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.724 * [taylor]: Taking taylor expansion of J in U 5.724 * [backup-simplify]: Simplify J into J 5.724 * [backup-simplify]: Simplify (* 1 1) into 1 5.724 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 5.724 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.724 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 5.724 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 5.724 * [taylor]: Taking taylor expansion of 1 in U 5.724 * [backup-simplify]: Simplify 1 into 1 5.725 * [backup-simplify]: Simplify (+ 0 1) into 1 5.725 * [backup-simplify]: Simplify (log 1) into 0 5.725 * [backup-simplify]: Simplify (* 1/4 0) into 0 5.725 * [backup-simplify]: Simplify (+ 0 0) into 0 5.726 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.727 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 5.727 * [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))) 5.727 * [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)))) 5.728 * [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))) 5.728 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 5.729 * [backup-simplify]: Simplify (exp 0) into 1 5.729 * [taylor]: Taking taylor expansion of 1 in J 5.729 * [backup-simplify]: Simplify 1 into 1 5.729 * [taylor]: Taking taylor expansion of 1 in K 5.729 * [backup-simplify]: Simplify 1 into 1 5.729 * [backup-simplify]: Simplify 1 into 1 5.729 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 5.729 * [taylor]: Taking taylor expansion of 0 in J 5.729 * [backup-simplify]: Simplify 0 into 0 5.729 * [taylor]: Taking taylor expansion of 0 in K 5.729 * [backup-simplify]: Simplify 0 into 0 5.729 * [backup-simplify]: Simplify 0 into 0 5.729 * [taylor]: Taking taylor expansion of 0 in K 5.729 * [backup-simplify]: Simplify 0 into 0 5.729 * [backup-simplify]: Simplify 0 into 0 5.729 * [backup-simplify]: Simplify 0 into 0 5.730 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1)))) into (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 5.730 * [taylor]: Taking taylor expansion of (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 5.730 * [taylor]: Taking taylor expansion of 1/16 in J 5.730 * [backup-simplify]: Simplify 1/16 into 1/16 5.730 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 5.730 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 5.730 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 5.730 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 5.730 * [taylor]: Taking taylor expansion of 1/2 in J 5.730 * [backup-simplify]: Simplify 1/2 into 1/2 5.730 * [taylor]: Taking taylor expansion of K in J 5.730 * [backup-simplify]: Simplify K into K 5.730 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.730 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.730 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.730 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.730 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.731 * [backup-simplify]: Simplify (- 0) into 0 5.731 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.731 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.731 * [taylor]: Taking taylor expansion of J in J 5.731 * [backup-simplify]: Simplify 0 into 0 5.731 * [backup-simplify]: Simplify 1 into 1 5.731 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 5.731 * [backup-simplify]: Simplify (* 1 1) into 1 5.731 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 5.731 * [backup-simplify]: Simplify (/ 1/16 (pow (cos (* 1/2 K)) 2)) into (/ 1/16 (pow (cos (* 1/2 K)) 2)) 5.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.732 * [backup-simplify]: Simplify (+ 0) into 0 5.732 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 5.733 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 5.733 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.733 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 5.734 * [backup-simplify]: Simplify (- 0) into 0 5.734 * [backup-simplify]: Simplify (+ 0 0) into 0 5.734 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 5.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.735 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.735 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 5.736 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 5.737 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.738 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 5.738 * [backup-simplify]: Simplify (- 0) into 0 5.738 * [backup-simplify]: Simplify (+ 0 0) into 0 5.739 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 5.740 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 5.740 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 5.741 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/16 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 5.741 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/16 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 5.741 * [taylor]: Taking taylor expansion of 0 in K 5.741 * [backup-simplify]: Simplify 0 into 0 5.741 * [backup-simplify]: Simplify 0 into 0 5.741 * [taylor]: Taking taylor expansion of 0 in K 5.741 * [backup-simplify]: Simplify 0 into 0 5.741 * [backup-simplify]: Simplify 0 into 0 5.741 * [taylor]: Taking taylor expansion of 0 in K 5.741 * [backup-simplify]: Simplify 0 into 0 5.741 * [backup-simplify]: Simplify 0 into 0 5.742 * [backup-simplify]: Simplify 1 into 1 5.742 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ (/ 1 U) (* (+ (/ 1 J) (/ 1 J)) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (+ (/ 1 J) (/ 1 J)) (cos (/ (/ 1 K) 2))))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) 5.742 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in (U J K) around 0 5.742 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in K 5.743 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in K 5.743 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in K 5.743 * [taylor]: Taking taylor expansion of 1/4 in K 5.743 * [backup-simplify]: Simplify 1/4 into 1/4 5.743 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 5.743 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 5.743 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 5.743 * [taylor]: Taking taylor expansion of 1/4 in K 5.743 * [backup-simplify]: Simplify 1/4 into 1/4 5.743 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 5.743 * [taylor]: Taking taylor expansion of (pow J 2) in K 5.743 * [taylor]: Taking taylor expansion of J in K 5.743 * [backup-simplify]: Simplify J into J 5.743 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 5.743 * [taylor]: Taking taylor expansion of (pow U 2) in K 5.743 * [taylor]: Taking taylor expansion of U in K 5.743 * [backup-simplify]: Simplify U into U 5.743 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 5.743 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 5.743 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 5.743 * [taylor]: Taking taylor expansion of 1/2 in K 5.743 * [backup-simplify]: Simplify 1/2 into 1/2 5.743 * [taylor]: Taking taylor expansion of K in K 5.743 * [backup-simplify]: Simplify 0 into 0 5.743 * [backup-simplify]: Simplify 1 into 1 5.744 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.744 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.744 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.744 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.744 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 5.744 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 5.745 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 5.745 * [taylor]: Taking taylor expansion of 1 in K 5.745 * [backup-simplify]: Simplify 1 into 1 5.745 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 5.745 * [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) 5.746 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 5.746 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) 5.747 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) 5.747 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in J 5.747 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in J 5.747 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in J 5.747 * [taylor]: Taking taylor expansion of 1/4 in J 5.747 * [backup-simplify]: Simplify 1/4 into 1/4 5.747 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 5.747 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 5.747 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 5.747 * [taylor]: Taking taylor expansion of 1/4 in J 5.747 * [backup-simplify]: Simplify 1/4 into 1/4 5.747 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 5.747 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.747 * [taylor]: Taking taylor expansion of J in J 5.747 * [backup-simplify]: Simplify 0 into 0 5.747 * [backup-simplify]: Simplify 1 into 1 5.747 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 5.747 * [taylor]: Taking taylor expansion of (pow U 2) in J 5.747 * [taylor]: Taking taylor expansion of U in J 5.747 * [backup-simplify]: Simplify U into U 5.747 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 5.747 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 5.747 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 5.747 * [taylor]: Taking taylor expansion of 1/2 in J 5.747 * [backup-simplify]: Simplify 1/2 into 1/2 5.747 * [taylor]: Taking taylor expansion of K in J 5.748 * [backup-simplify]: Simplify K into K 5.748 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.748 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.748 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.748 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.748 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.748 * [backup-simplify]: Simplify (- 0) into 0 5.749 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.749 * [backup-simplify]: Simplify (* 1 1) into 1 5.749 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.749 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 5.749 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 5.750 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 5.750 * [taylor]: Taking taylor expansion of 1 in J 5.750 * [backup-simplify]: Simplify 1 into 1 5.750 * [backup-simplify]: Simplify (+ 0 1) into 1 5.750 * [backup-simplify]: Simplify (log 1) into 0 5.751 * [backup-simplify]: Simplify (* 1/4 0) into 0 5.751 * [backup-simplify]: Simplify (+ 0 0) into 0 5.753 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.754 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 5.754 * [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))) 5.754 * [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)))) 5.756 * [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))) 5.757 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 5.757 * [backup-simplify]: Simplify (exp 0) into 1 5.757 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in U 5.757 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 5.757 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 5.757 * [taylor]: Taking taylor expansion of 1/4 in U 5.757 * [backup-simplify]: Simplify 1/4 into 1/4 5.757 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 5.757 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 5.757 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 5.757 * [taylor]: Taking taylor expansion of 1/4 in U 5.757 * [backup-simplify]: Simplify 1/4 into 1/4 5.757 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 5.757 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.758 * [taylor]: Taking taylor expansion of J in U 5.758 * [backup-simplify]: Simplify J into J 5.758 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 5.758 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.758 * [taylor]: Taking taylor expansion of U in U 5.758 * [backup-simplify]: Simplify 0 into 0 5.758 * [backup-simplify]: Simplify 1 into 1 5.758 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 5.758 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 5.758 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 5.758 * [taylor]: Taking taylor expansion of 1/2 in U 5.758 * [backup-simplify]: Simplify 1/2 into 1/2 5.758 * [taylor]: Taking taylor expansion of K in U 5.758 * [backup-simplify]: Simplify K into K 5.758 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.758 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.758 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.758 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.758 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.759 * [backup-simplify]: Simplify (- 0) into 0 5.759 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.759 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.759 * [backup-simplify]: Simplify (* 1 1) into 1 5.759 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 5.759 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 5.760 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 5.760 * [taylor]: Taking taylor expansion of 1 in U 5.760 * [backup-simplify]: Simplify 1 into 1 5.760 * [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))) 5.760 * [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))) 5.760 * [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)))) 5.761 * [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))) 5.761 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 5.762 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 5.762 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in U 5.762 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 5.762 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 5.762 * [taylor]: Taking taylor expansion of 1/4 in U 5.762 * [backup-simplify]: Simplify 1/4 into 1/4 5.762 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 5.762 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 5.762 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 5.762 * [taylor]: Taking taylor expansion of 1/4 in U 5.762 * [backup-simplify]: Simplify 1/4 into 1/4 5.762 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 5.762 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.762 * [taylor]: Taking taylor expansion of J in U 5.762 * [backup-simplify]: Simplify J into J 5.762 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 5.762 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.762 * [taylor]: Taking taylor expansion of U in U 5.762 * [backup-simplify]: Simplify 0 into 0 5.762 * [backup-simplify]: Simplify 1 into 1 5.762 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 5.762 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 5.762 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 5.763 * [taylor]: Taking taylor expansion of 1/2 in U 5.763 * [backup-simplify]: Simplify 1/2 into 1/2 5.763 * [taylor]: Taking taylor expansion of K in U 5.763 * [backup-simplify]: Simplify K into K 5.763 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.763 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.763 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.763 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.763 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.763 * [backup-simplify]: Simplify (- 0) into 0 5.764 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.764 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.764 * [backup-simplify]: Simplify (* 1 1) into 1 5.764 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 5.764 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 5.764 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 5.764 * [taylor]: Taking taylor expansion of 1 in U 5.765 * [backup-simplify]: Simplify 1 into 1 5.765 * [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))) 5.765 * [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))) 5.765 * [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)))) 5.766 * [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))) 5.766 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 5.767 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 5.767 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 5.767 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 5.767 * [taylor]: Taking taylor expansion of 1/4 in J 5.767 * [backup-simplify]: Simplify 1/4 into 1/4 5.767 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 5.767 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 5.767 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 5.767 * [taylor]: Taking taylor expansion of 1/4 in J 5.767 * [backup-simplify]: Simplify 1/4 into 1/4 5.767 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 5.767 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.767 * [taylor]: Taking taylor expansion of J in J 5.767 * [backup-simplify]: Simplify 0 into 0 5.767 * [backup-simplify]: Simplify 1 into 1 5.767 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 5.767 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 5.767 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 5.767 * [taylor]: Taking taylor expansion of 1/2 in J 5.767 * [backup-simplify]: Simplify 1/2 into 1/2 5.767 * [taylor]: Taking taylor expansion of K in J 5.767 * [backup-simplify]: Simplify K into K 5.767 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.767 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.768 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.768 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.768 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.768 * [backup-simplify]: Simplify (- 0) into 0 5.768 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.769 * [backup-simplify]: Simplify (* 1 1) into 1 5.769 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 5.769 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 5.769 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 5.769 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 5.769 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 5.769 * [taylor]: Taking taylor expansion of 2 in J 5.769 * [backup-simplify]: Simplify 2 into 2 5.769 * [taylor]: Taking taylor expansion of (log U) in J 5.769 * [taylor]: Taking taylor expansion of U in J 5.769 * [backup-simplify]: Simplify U into U 5.769 * [backup-simplify]: Simplify (log U) into (log U) 5.770 * [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)))) 5.770 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 5.770 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 5.771 * [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))) 5.771 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 5.771 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 5.771 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 5.771 * [taylor]: Taking taylor expansion of (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 5.771 * [taylor]: Taking taylor expansion of 1/4 in K 5.771 * [backup-simplify]: Simplify 1/4 into 1/4 5.771 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 5.771 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) in K 5.771 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 5.772 * [taylor]: Taking taylor expansion of 2 in K 5.772 * [backup-simplify]: Simplify 2 into 2 5.772 * [taylor]: Taking taylor expansion of (log J) in K 5.772 * [taylor]: Taking taylor expansion of J in K 5.772 * [backup-simplify]: Simplify J into J 5.772 * [backup-simplify]: Simplify (log J) into (log J) 5.772 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) in K 5.772 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K 5.772 * [taylor]: Taking taylor expansion of 1/4 in K 5.772 * [backup-simplify]: Simplify 1/4 into 1/4 5.772 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 5.772 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 5.772 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 5.772 * [taylor]: Taking taylor expansion of 1/2 in K 5.772 * [backup-simplify]: Simplify 1/2 into 1/2 5.772 * [taylor]: Taking taylor expansion of K in K 5.772 * [backup-simplify]: Simplify 0 into 0 5.772 * [backup-simplify]: Simplify 1 into 1 5.772 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.773 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.773 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 5.773 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 5.773 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 5.773 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 5.773 * [taylor]: Taking taylor expansion of 2 in K 5.773 * [backup-simplify]: Simplify 2 into 2 5.773 * [taylor]: Taking taylor expansion of (log U) in K 5.773 * [taylor]: Taking taylor expansion of U in K 5.773 * [backup-simplify]: Simplify U into U 5.773 * [backup-simplify]: Simplify (log U) into (log U) 5.773 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 5.774 * [backup-simplify]: Simplify (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 5.774 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 5.774 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 5.774 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 5.774 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 5.775 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 5.775 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 5.775 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.776 * [backup-simplify]: Simplify (+ 0) into 0 5.776 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 5.776 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 5.777 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.777 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 5.778 * [backup-simplify]: Simplify (- 0) into 0 5.778 * [backup-simplify]: Simplify (+ 0 0) into 0 5.778 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 5.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 5.780 * [backup-simplify]: 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 5.781 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 5.781 * [backup-simplify]: Simplify (+ 0 0) into 0 5.782 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 5.783 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 5.783 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 5.786 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.787 * [taylor]: Taking taylor expansion of 0 in J 5.787 * [backup-simplify]: Simplify 0 into 0 5.787 * [taylor]: Taking taylor expansion of 0 in K 5.787 * [backup-simplify]: Simplify 0 into 0 5.787 * [backup-simplify]: Simplify 0 into 0 5.788 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.788 * [backup-simplify]: Simplify (+ 0) into 0 5.789 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 5.789 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 5.789 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.790 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 5.790 * [backup-simplify]: Simplify (- 0) into 0 5.791 * [backup-simplify]: Simplify (+ 0 0) into 0 5.791 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 5.791 * [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 5.792 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 5.792 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 5.793 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 5.793 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 5.793 * [backup-simplify]: Simplify (- 0) into 0 5.793 * [backup-simplify]: Simplify (+ 0 0) into 0 5.794 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 5.794 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.794 * [taylor]: Taking taylor expansion of 0 in K 5.794 * [backup-simplify]: Simplify 0 into 0 5.794 * [backup-simplify]: Simplify 0 into 0 5.795 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 5.795 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 5.795 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 5.796 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 5.796 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 5.796 * [backup-simplify]: Simplify (+ 0 0) into 0 5.797 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 5.797 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 5.797 * [backup-simplify]: Simplify (- 0) into 0 5.798 * [backup-simplify]: Simplify (+ 0 0) into 0 5.798 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 5.799 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.799 * [backup-simplify]: Simplify 0 into 0 5.799 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 5.799 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.800 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 5.800 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 5.801 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.801 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 5.801 * [backup-simplify]: Simplify (- 0) into 0 5.801 * [backup-simplify]: Simplify (+ 0 0) into 0 5.802 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 5.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 5.803 * [backup-simplify]: 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 5.804 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 5.804 * [backup-simplify]: Simplify (+ 0 1) into 1 5.805 * [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))) 5.806 * [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))) 5.806 * [backup-simplify]: Simplify (+ (* 1/4 (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 5.807 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 1) 1)))) into (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) 5.807 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in J 5.807 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in J 5.807 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 5.807 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 5.807 * [taylor]: Taking taylor expansion of 1/4 in J 5.807 * [backup-simplify]: Simplify 1/4 into 1/4 5.807 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 5.807 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 5.807 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 5.807 * [taylor]: Taking taylor expansion of 1/4 in J 5.807 * [backup-simplify]: Simplify 1/4 into 1/4 5.807 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 5.807 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.807 * [taylor]: Taking taylor expansion of J in J 5.807 * [backup-simplify]: Simplify 0 into 0 5.807 * [backup-simplify]: Simplify 1 into 1 5.807 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 5.807 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 5.807 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 5.807 * [taylor]: Taking taylor expansion of 1/2 in J 5.807 * [backup-simplify]: Simplify 1/2 into 1/2 5.807 * [taylor]: Taking taylor expansion of K in J 5.807 * [backup-simplify]: Simplify K into K 5.807 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.807 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.808 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.808 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.808 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.808 * [backup-simplify]: Simplify (- 0) into 0 5.808 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.808 * [backup-simplify]: Simplify (* 1 1) into 1 5.808 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 5.808 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 5.808 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 5.809 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 5.809 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 5.809 * [taylor]: Taking taylor expansion of 2 in J 5.809 * [backup-simplify]: Simplify 2 into 2 5.809 * [taylor]: Taking taylor expansion of (log U) in J 5.809 * [taylor]: Taking taylor expansion of U in J 5.809 * [backup-simplify]: Simplify U into U 5.809 * [backup-simplify]: Simplify (log U) into (log U) 5.809 * [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)))) 5.809 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 5.809 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 5.809 * [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))) 5.809 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 5.810 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 5.810 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 5.810 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 5.810 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 5.810 * [taylor]: Taking taylor expansion of 1/2 in J 5.810 * [backup-simplify]: Simplify 1/2 into 1/2 5.810 * [taylor]: Taking taylor expansion of K in J 5.810 * [backup-simplify]: Simplify K into K 5.810 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.810 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.810 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.810 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.810 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.810 * [backup-simplify]: Simplify (- 0) into 0 5.810 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.810 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.810 * [taylor]: Taking taylor expansion of J in J 5.810 * [backup-simplify]: Simplify 0 into 0 5.810 * [backup-simplify]: Simplify 1 into 1 5.810 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 5.811 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 5.811 * [backup-simplify]: Simplify (* 1 1) into 1 5.811 * [backup-simplify]: Simplify (/ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 1) into (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 5.811 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 5.812 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.812 * [backup-simplify]: Simplify (+ 0) into 0 5.812 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 5.813 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 5.813 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.813 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.814 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 5.814 * [backup-simplify]: Simplify (- 0) into 0 5.814 * [backup-simplify]: Simplify (+ 0 0) into 0 5.815 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 5.815 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 5.815 * [backup-simplify]: Simplify (- 0) into 0 5.815 * [backup-simplify]: Simplify (+ 0 0) into 0 5.816 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 5.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.816 * [backup-simplify]: Simplify (+ 0) into 0 5.817 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 5.817 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 5.817 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.818 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 5.818 * [backup-simplify]: Simplify (- 0) into 0 5.818 * [backup-simplify]: Simplify (+ 0 0) into 0 5.818 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 5.818 * [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 5.819 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 5.819 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 5.820 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 5.820 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 5.821 * [backup-simplify]: Simplify (- 0) into 0 5.821 * [backup-simplify]: Simplify (+ 0 0) into 0 5.822 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 5.823 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.823 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 5.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.825 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.826 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 5.826 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 5.827 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.828 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 5.828 * [backup-simplify]: Simplify (- 0) into 0 5.828 * [backup-simplify]: Simplify (+ 0 0) into 0 5.829 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 5.829 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 5.830 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 5.832 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 5.834 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 5.835 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 5.835 * [backup-simplify]: Simplify (- 0) into 0 5.836 * [backup-simplify]: Simplify (+ 0 0) into 0 5.837 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 5.839 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.839 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 5.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.841 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 5.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)))) into 0 5.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.845 * [taylor]: Taking taylor expansion of 0 in K 5.845 * [backup-simplify]: Simplify 0 into 0 5.845 * [backup-simplify]: Simplify 0 into 0 5.845 * [taylor]: Taking taylor expansion of 0 in K 5.845 * [backup-simplify]: Simplify 0 into 0 5.845 * [backup-simplify]: Simplify 0 into 0 5.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.847 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.847 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 5.848 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 5.848 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.849 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 5.849 * [backup-simplify]: Simplify (- 0) into 0 5.850 * [backup-simplify]: Simplify (+ 0 0) into 0 5.850 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 5.851 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 5.852 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 5.854 * [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 5.855 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 5.856 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 5.857 * [backup-simplify]: Simplify (- 0) into 0 5.857 * [backup-simplify]: Simplify (+ 0 0) into 0 5.858 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 5.860 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.860 * [taylor]: Taking taylor expansion of 0 in K 5.860 * [backup-simplify]: Simplify 0 into 0 5.860 * [backup-simplify]: Simplify 0 into 0 5.860 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log (/ 1 J))) (log (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)))) (* 2 (log (/ 1 U)))))) into (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) 5.861 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ (/ 1 (- U)) (* (+ (/ 1 (- J)) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (+ (/ 1 (- J)) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) 1))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) 5.861 * [approximate]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in (U J K) around 0 5.861 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in K 5.861 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 5.861 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 5.861 * [taylor]: Taking taylor expansion of 1/4 in K 5.861 * [backup-simplify]: Simplify 1/4 into 1/4 5.861 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 5.861 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 5.861 * [taylor]: Taking taylor expansion of 1 in K 5.861 * [backup-simplify]: Simplify 1 into 1 5.861 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 5.861 * [taylor]: Taking taylor expansion of 1/4 in K 5.861 * [backup-simplify]: Simplify 1/4 into 1/4 5.861 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 5.862 * [taylor]: Taking taylor expansion of (pow J 2) in K 5.862 * [taylor]: Taking taylor expansion of J in K 5.862 * [backup-simplify]: Simplify J into J 5.862 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 5.862 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 5.862 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 5.862 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 5.862 * [taylor]: Taking taylor expansion of -1/2 in K 5.862 * [backup-simplify]: Simplify -1/2 into -1/2 5.862 * [taylor]: Taking taylor expansion of K in K 5.862 * [backup-simplify]: Simplify 0 into 0 5.862 * [backup-simplify]: Simplify 1 into 1 5.862 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.862 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.862 * [taylor]: Taking taylor expansion of (pow U 2) in K 5.862 * [taylor]: Taking taylor expansion of U in K 5.862 * [backup-simplify]: Simplify U into U 5.863 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.863 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 5.863 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.863 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 5.863 * [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))) 5.863 * [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)))) 5.864 * [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))))) 5.864 * [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)))))) 5.865 * [backup-simplify]: Simplify (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 5.865 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) 5.865 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in J 5.865 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 5.865 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 5.865 * [taylor]: Taking taylor expansion of 1/4 in J 5.865 * [backup-simplify]: Simplify 1/4 into 1/4 5.865 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 5.865 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 5.865 * [taylor]: Taking taylor expansion of 1 in J 5.865 * [backup-simplify]: Simplify 1 into 1 5.865 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 5.865 * [taylor]: Taking taylor expansion of 1/4 in J 5.865 * [backup-simplify]: Simplify 1/4 into 1/4 5.865 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 5.865 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.865 * [taylor]: Taking taylor expansion of J in J 5.865 * [backup-simplify]: Simplify 0 into 0 5.866 * [backup-simplify]: Simplify 1 into 1 5.866 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 5.866 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 5.866 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 5.866 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 5.866 * [taylor]: Taking taylor expansion of -1/2 in J 5.866 * [backup-simplify]: Simplify -1/2 into -1/2 5.866 * [taylor]: Taking taylor expansion of K in J 5.866 * [backup-simplify]: Simplify K into K 5.866 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.866 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.866 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.866 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.866 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.867 * [backup-simplify]: Simplify (- 0) into 0 5.867 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.867 * [taylor]: Taking taylor expansion of (pow U 2) in J 5.867 * [taylor]: Taking taylor expansion of U in J 5.867 * [backup-simplify]: Simplify U into U 5.867 * [backup-simplify]: Simplify (* 1 1) into 1 5.867 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 5.867 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.867 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 5.868 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 5.868 * [backup-simplify]: Simplify (+ 1 0) into 1 5.868 * [backup-simplify]: Simplify (log 1) into 0 5.869 * [backup-simplify]: Simplify (* 1/4 0) into 0 5.869 * [backup-simplify]: Simplify (+ 0 0) into 0 5.871 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.871 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 5.872 * [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))) 5.872 * [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)))) 5.874 * [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))) 5.875 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 5.875 * [backup-simplify]: Simplify (exp 0) into 1 5.875 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in U 5.875 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 5.875 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 5.875 * [taylor]: Taking taylor expansion of 1/4 in U 5.875 * [backup-simplify]: Simplify 1/4 into 1/4 5.875 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 5.875 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 5.875 * [taylor]: Taking taylor expansion of 1 in U 5.875 * [backup-simplify]: Simplify 1 into 1 5.875 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 5.875 * [taylor]: Taking taylor expansion of 1/4 in U 5.875 * [backup-simplify]: Simplify 1/4 into 1/4 5.875 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 5.875 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.875 * [taylor]: Taking taylor expansion of J in U 5.875 * [backup-simplify]: Simplify J into J 5.875 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 5.875 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 5.875 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 5.875 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 5.875 * [taylor]: Taking taylor expansion of -1/2 in U 5.875 * [backup-simplify]: Simplify -1/2 into -1/2 5.875 * [taylor]: Taking taylor expansion of K in U 5.875 * [backup-simplify]: Simplify K into K 5.875 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.875 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.875 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.875 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.876 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.876 * [backup-simplify]: Simplify (- 0) into 0 5.876 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.876 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.876 * [taylor]: Taking taylor expansion of U in U 5.876 * [backup-simplify]: Simplify 0 into 0 5.876 * [backup-simplify]: Simplify 1 into 1 5.876 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.876 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 5.876 * [backup-simplify]: Simplify (* 1 1) into 1 5.876 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 5.876 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 5.877 * [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))) 5.877 * [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))) 5.877 * [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)))) 5.877 * [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))) 5.877 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 5.878 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 5.878 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in U 5.878 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 5.878 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 5.878 * [taylor]: Taking taylor expansion of 1/4 in U 5.878 * [backup-simplify]: Simplify 1/4 into 1/4 5.878 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 5.878 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 5.878 * [taylor]: Taking taylor expansion of 1 in U 5.878 * [backup-simplify]: Simplify 1 into 1 5.878 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 5.878 * [taylor]: Taking taylor expansion of 1/4 in U 5.878 * [backup-simplify]: Simplify 1/4 into 1/4 5.878 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 5.878 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.878 * [taylor]: Taking taylor expansion of J in U 5.878 * [backup-simplify]: Simplify J into J 5.878 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 5.878 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 5.878 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 5.878 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 5.878 * [taylor]: Taking taylor expansion of -1/2 in U 5.878 * [backup-simplify]: Simplify -1/2 into -1/2 5.878 * [taylor]: Taking taylor expansion of K in U 5.878 * [backup-simplify]: Simplify K into K 5.878 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.878 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.878 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.878 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.878 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.879 * [backup-simplify]: Simplify (- 0) into 0 5.879 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.879 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.879 * [taylor]: Taking taylor expansion of U in U 5.879 * [backup-simplify]: Simplify 0 into 0 5.879 * [backup-simplify]: Simplify 1 into 1 5.879 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.879 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 5.879 * [backup-simplify]: Simplify (* 1 1) into 1 5.879 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 5.879 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 5.879 * [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))) 5.880 * [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))) 5.880 * [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)))) 5.880 * [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))) 5.880 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 5.881 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 5.881 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 5.881 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 5.881 * [taylor]: Taking taylor expansion of 1/4 in J 5.881 * [backup-simplify]: Simplify 1/4 into 1/4 5.881 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 5.881 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 5.881 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 5.881 * [taylor]: Taking taylor expansion of 1/4 in J 5.881 * [backup-simplify]: Simplify 1/4 into 1/4 5.881 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 5.881 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.881 * [taylor]: Taking taylor expansion of J in J 5.881 * [backup-simplify]: Simplify 0 into 0 5.881 * [backup-simplify]: Simplify 1 into 1 5.881 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 5.881 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 5.881 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 5.881 * [taylor]: Taking taylor expansion of -1/2 in J 5.881 * [backup-simplify]: Simplify -1/2 into -1/2 5.881 * [taylor]: Taking taylor expansion of K in J 5.881 * [backup-simplify]: Simplify K into K 5.881 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.881 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.881 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.881 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.881 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.882 * [backup-simplify]: Simplify (- 0) into 0 5.882 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.882 * [backup-simplify]: Simplify (* 1 1) into 1 5.882 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 5.882 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 5.882 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 5.882 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 5.882 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 5.882 * [taylor]: Taking taylor expansion of 2 in J 5.882 * [backup-simplify]: Simplify 2 into 2 5.882 * [taylor]: Taking taylor expansion of (log U) in J 5.882 * [taylor]: Taking taylor expansion of U in J 5.882 * [backup-simplify]: Simplify U into U 5.882 * [backup-simplify]: Simplify (log U) into (log U) 5.883 * [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)))) 5.883 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 5.883 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 5.883 * [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))) 5.883 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 5.883 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 5.883 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 5.883 * [taylor]: Taking taylor expansion of (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 5.883 * [taylor]: Taking taylor expansion of 1/4 in K 5.883 * [backup-simplify]: Simplify 1/4 into 1/4 5.883 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 5.884 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) in K 5.884 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 5.884 * [taylor]: Taking taylor expansion of 2 in K 5.884 * [backup-simplify]: Simplify 2 into 2 5.884 * [taylor]: Taking taylor expansion of (log J) in K 5.884 * [taylor]: Taking taylor expansion of J in K 5.884 * [backup-simplify]: Simplify J into J 5.884 * [backup-simplify]: Simplify (log J) into (log J) 5.884 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) in K 5.884 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K 5.884 * [taylor]: Taking taylor expansion of 1/4 in K 5.884 * [backup-simplify]: Simplify 1/4 into 1/4 5.884 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 5.884 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 5.884 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 5.884 * [taylor]: Taking taylor expansion of -1/2 in K 5.884 * [backup-simplify]: Simplify -1/2 into -1/2 5.884 * [taylor]: Taking taylor expansion of K in K 5.884 * [backup-simplify]: Simplify 0 into 0 5.884 * [backup-simplify]: Simplify 1 into 1 5.884 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.884 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.884 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 5.884 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 5.884 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 5.884 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 5.884 * [taylor]: Taking taylor expansion of 2 in K 5.884 * [backup-simplify]: Simplify 2 into 2 5.885 * [taylor]: Taking taylor expansion of (log U) in K 5.885 * [taylor]: Taking taylor expansion of U in K 5.885 * [backup-simplify]: Simplify U into U 5.885 * [backup-simplify]: Simplify (log U) into (log U) 5.885 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 5.885 * [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)))) 5.885 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 5.885 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 5.885 * [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))) 5.885 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 5.885 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 5.886 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 5.886 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.886 * [backup-simplify]: Simplify (+ 0) into 0 5.887 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 5.887 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 5.887 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.888 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 5.888 * [backup-simplify]: Simplify (- 0) into 0 5.888 * [backup-simplify]: Simplify (+ 0 0) into 0 5.888 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 5.888 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 5.889 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 5.889 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 5.889 * [backup-simplify]: Simplify (+ 0 0) into 0 5.890 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 5.890 * [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))) 5.891 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 5.891 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.891 * [taylor]: Taking taylor expansion of 0 in J 5.892 * [backup-simplify]: Simplify 0 into 0 5.892 * [taylor]: Taking taylor expansion of 0 in K 5.892 * [backup-simplify]: Simplify 0 into 0 5.892 * [backup-simplify]: Simplify 0 into 0 5.892 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.892 * [backup-simplify]: Simplify (+ 0) into 0 5.893 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 5.893 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 5.893 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.894 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 5.894 * [backup-simplify]: Simplify (- 0) into 0 5.894 * [backup-simplify]: Simplify (+ 0 0) into 0 5.894 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 5.894 * [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 5.895 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 5.895 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 5.896 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 5.896 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 5.896 * [backup-simplify]: Simplify (- 0) into 0 5.897 * [backup-simplify]: Simplify (+ 0 0) into 0 5.897 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 5.898 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.898 * [taylor]: Taking taylor expansion of 0 in K 5.898 * [backup-simplify]: Simplify 0 into 0 5.898 * [backup-simplify]: Simplify 0 into 0 5.898 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 5.898 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 5.899 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 5.899 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 5.899 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 5.900 * [backup-simplify]: Simplify (+ 0 0) into 0 5.900 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 5.900 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 5.901 * [backup-simplify]: Simplify (- 0) into 0 5.901 * [backup-simplify]: Simplify (+ 0 0) into 0 5.901 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 5.903 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.904 * [backup-simplify]: Simplify 0 into 0 5.904 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 5.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.905 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.905 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 5.906 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 5.906 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.906 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 5.907 * [backup-simplify]: Simplify (- 0) into 0 5.907 * [backup-simplify]: Simplify (+ 0 0) into 0 5.907 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 5.908 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 5.908 * [backup-simplify]: 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 5.909 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 5.909 * [backup-simplify]: Simplify (+ 1 0) into 1 5.910 * [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))) 5.910 * [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))) 5.911 * [backup-simplify]: Simplify (+ (* 1/4 (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 5.912 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 1) 1)))) into (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) 5.912 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in J 5.912 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in J 5.912 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 5.912 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 5.912 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 5.912 * [taylor]: Taking taylor expansion of -1/2 in J 5.912 * [backup-simplify]: Simplify -1/2 into -1/2 5.912 * [taylor]: Taking taylor expansion of K in J 5.912 * [backup-simplify]: Simplify K into K 5.912 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.912 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.912 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.912 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.912 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.912 * [backup-simplify]: Simplify (- 0) into 0 5.912 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.913 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 5.913 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 5.913 * [taylor]: Taking taylor expansion of 1/4 in J 5.913 * [backup-simplify]: Simplify 1/4 into 1/4 5.913 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 5.913 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 5.913 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 5.913 * [taylor]: Taking taylor expansion of 1/4 in J 5.913 * [backup-simplify]: Simplify 1/4 into 1/4 5.913 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 5.913 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.913 * [taylor]: Taking taylor expansion of J in J 5.913 * [backup-simplify]: Simplify 0 into 0 5.913 * [backup-simplify]: Simplify 1 into 1 5.913 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 5.913 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 5.913 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 5.913 * [taylor]: Taking taylor expansion of -1/2 in J 5.913 * [backup-simplify]: Simplify -1/2 into -1/2 5.913 * [taylor]: Taking taylor expansion of K in J 5.913 * [backup-simplify]: Simplify K into K 5.913 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.913 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.913 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.913 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.913 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.913 * [backup-simplify]: Simplify (- 0) into 0 5.913 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.914 * [backup-simplify]: Simplify (* 1 1) into 1 5.914 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 5.914 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 5.914 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 5.914 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 5.914 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 5.914 * [taylor]: Taking taylor expansion of 2 in J 5.914 * [backup-simplify]: Simplify 2 into 2 5.914 * [taylor]: Taking taylor expansion of (log U) in J 5.914 * [taylor]: Taking taylor expansion of U in J 5.914 * [backup-simplify]: Simplify U into U 5.914 * [backup-simplify]: Simplify (log U) into (log U) 5.914 * [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)))) 5.914 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 5.915 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 5.915 * [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))) 5.915 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 5.915 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 5.915 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.915 * [taylor]: Taking taylor expansion of J in J 5.915 * [backup-simplify]: Simplify 0 into 0 5.915 * [backup-simplify]: Simplify 1 into 1 5.915 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 5.915 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 5.916 * [backup-simplify]: Simplify (* 1 1) into 1 5.916 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 1) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 5.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.917 * [backup-simplify]: Simplify (+ 0) into 0 5.917 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 5.917 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 5.917 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.918 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 5.918 * [backup-simplify]: Simplify (- 0) into 0 5.918 * [backup-simplify]: Simplify (+ 0 0) into 0 5.918 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 5.918 * [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 5.919 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 5.919 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 5.920 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 5.920 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 5.920 * [backup-simplify]: Simplify (- 0) into 0 5.921 * [backup-simplify]: Simplify (+ 0 0) into 0 5.921 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 5.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.922 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.923 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 5.923 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 5.923 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.923 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 5.924 * [backup-simplify]: Simplify (- 0) into 0 5.924 * [backup-simplify]: Simplify (+ 0 0) into 0 5.924 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 5.925 * [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 5.925 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 5.926 * [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 5.927 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 5.928 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 5.928 * [backup-simplify]: Simplify (- 0) into 0 5.928 * [backup-simplify]: Simplify (+ 0 0) into 0 5.929 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 5.930 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.930 * [backup-simplify]: Simplify (+ 0) into 0 5.930 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 5.930 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 5.931 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.931 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 5.931 * [backup-simplify]: Simplify (- 0) into 0 5.932 * [backup-simplify]: Simplify (+ 0 0) into 0 5.932 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 5.932 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.933 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.933 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 5.933 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 5.934 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.934 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 5.934 * [backup-simplify]: Simplify (- 0) into 0 5.935 * [backup-simplify]: Simplify (+ 0 0) into 0 5.935 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 5.936 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))))) into 0 5.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.936 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))) into 0 5.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)))) into 0 5.939 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.939 * [taylor]: Taking taylor expansion of 0 in K 5.939 * [backup-simplify]: Simplify 0 into 0 5.939 * [backup-simplify]: Simplify 0 into 0 5.939 * [taylor]: Taking taylor expansion of 0 in K 5.939 * [backup-simplify]: Simplify 0 into 0 5.939 * [backup-simplify]: Simplify 0 into 0 5.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.940 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.940 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 5.940 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 5.941 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.941 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 5.941 * [backup-simplify]: Simplify (- 0) into 0 5.942 * [backup-simplify]: Simplify (+ 0 0) into 0 5.942 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 5.942 * [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 5.943 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 5.944 * [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 5.945 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 5.945 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 5.946 * [backup-simplify]: Simplify (- 0) into 0 5.946 * [backup-simplify]: Simplify (+ 0 0) into 0 5.947 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 5.947 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.947 * [taylor]: Taking taylor expansion of 0 in K 5.947 * [backup-simplify]: Simplify 0 into 0 5.948 * [backup-simplify]: Simplify 0 into 0 5.948 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log (/ 1 (- J)))) (log (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)))) (* 2 (log (/ 1 (- U))))))) into (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 5.948 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 5.948 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) into (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) 5.948 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in (U J K) around 0 5.948 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in K 5.948 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 5.948 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 5.948 * [taylor]: Taking taylor expansion of 1/4 in K 5.948 * [backup-simplify]: Simplify 1/4 into 1/4 5.948 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 5.948 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 5.948 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 5.948 * [taylor]: Taking taylor expansion of 1/4 in K 5.948 * [backup-simplify]: Simplify 1/4 into 1/4 5.948 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 5.948 * [taylor]: Taking taylor expansion of (pow U 2) in K 5.948 * [taylor]: Taking taylor expansion of U in K 5.948 * [backup-simplify]: Simplify U into U 5.948 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 5.948 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 5.948 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 5.948 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 5.948 * [taylor]: Taking taylor expansion of 1/2 in K 5.948 * [backup-simplify]: Simplify 1/2 into 1/2 5.948 * [taylor]: Taking taylor expansion of K in K 5.948 * [backup-simplify]: Simplify 0 into 0 5.949 * [backup-simplify]: Simplify 1 into 1 5.949 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.949 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.949 * [taylor]: Taking taylor expansion of (pow J 2) in K 5.949 * [taylor]: Taking taylor expansion of J in K 5.949 * [backup-simplify]: Simplify J into J 5.949 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.950 * [backup-simplify]: Simplify (* 1 1) into 1 5.950 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.950 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 5.950 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 5.950 * [taylor]: Taking taylor expansion of 1 in K 5.950 * [backup-simplify]: Simplify 1 into 1 5.950 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 5.950 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 5.950 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 5.950 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 5.950 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4) 5.950 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in J 5.950 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 5.950 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 5.950 * [taylor]: Taking taylor expansion of 1/4 in J 5.950 * [backup-simplify]: Simplify 1/4 into 1/4 5.951 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 5.951 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 5.951 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 5.951 * [taylor]: Taking taylor expansion of 1/4 in J 5.951 * [backup-simplify]: Simplify 1/4 into 1/4 5.951 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 5.951 * [taylor]: Taking taylor expansion of (pow U 2) in J 5.951 * [taylor]: Taking taylor expansion of U in J 5.951 * [backup-simplify]: Simplify U into U 5.951 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 5.951 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 5.951 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 5.951 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 5.951 * [taylor]: Taking taylor expansion of 1/2 in J 5.951 * [backup-simplify]: Simplify 1/2 into 1/2 5.951 * [taylor]: Taking taylor expansion of K in J 5.951 * [backup-simplify]: Simplify K into K 5.951 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.951 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.951 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.951 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.951 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.951 * [backup-simplify]: Simplify (- 0) into 0 5.951 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.951 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.951 * [taylor]: Taking taylor expansion of J in J 5.951 * [backup-simplify]: Simplify 0 into 0 5.951 * [backup-simplify]: Simplify 1 into 1 5.951 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.951 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 5.952 * [backup-simplify]: Simplify (* 1 1) into 1 5.952 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 5.952 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 5.952 * [taylor]: Taking taylor expansion of 1 in J 5.952 * [backup-simplify]: Simplify 1 into 1 5.952 * [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))) 5.952 * [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))) 5.952 * [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)))) 5.953 * [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))) 5.953 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) into (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) 5.953 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) 5.953 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in U 5.953 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 5.953 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 5.953 * [taylor]: Taking taylor expansion of 1/4 in U 5.953 * [backup-simplify]: Simplify 1/4 into 1/4 5.953 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 5.953 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 5.953 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 5.953 * [taylor]: Taking taylor expansion of 1/4 in U 5.953 * [backup-simplify]: Simplify 1/4 into 1/4 5.953 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 5.953 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.953 * [taylor]: Taking taylor expansion of U in U 5.953 * [backup-simplify]: Simplify 0 into 0 5.953 * [backup-simplify]: Simplify 1 into 1 5.953 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 5.953 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 5.953 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 5.953 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 5.953 * [taylor]: Taking taylor expansion of 1/2 in U 5.954 * [backup-simplify]: Simplify 1/2 into 1/2 5.954 * [taylor]: Taking taylor expansion of K in U 5.954 * [backup-simplify]: Simplify K into K 5.954 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.954 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.954 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.954 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.954 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.954 * [backup-simplify]: Simplify (- 0) into 0 5.954 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.954 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.954 * [taylor]: Taking taylor expansion of J in U 5.954 * [backup-simplify]: Simplify J into J 5.955 * [backup-simplify]: Simplify (* 1 1) into 1 5.955 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 5.955 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.955 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 5.955 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 5.955 * [taylor]: Taking taylor expansion of 1 in U 5.955 * [backup-simplify]: Simplify 1 into 1 5.955 * [backup-simplify]: Simplify (+ 0 1) into 1 5.955 * [backup-simplify]: Simplify (log 1) into 0 5.956 * [backup-simplify]: Simplify (* 1/4 0) into 0 5.956 * [backup-simplify]: Simplify (+ 0 0) into 0 5.957 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.957 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 5.957 * [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))) 5.957 * [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)))) 5.959 * [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))) 5.959 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 5.959 * [backup-simplify]: Simplify (exp 0) into 1 5.959 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in U 5.959 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 5.959 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 5.959 * [taylor]: Taking taylor expansion of 1/4 in U 5.959 * [backup-simplify]: Simplify 1/4 into 1/4 5.959 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 5.959 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 5.959 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 5.959 * [taylor]: Taking taylor expansion of 1/4 in U 5.959 * [backup-simplify]: Simplify 1/4 into 1/4 5.959 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 5.959 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.959 * [taylor]: Taking taylor expansion of U in U 5.959 * [backup-simplify]: Simplify 0 into 0 5.959 * [backup-simplify]: Simplify 1 into 1 5.959 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 5.959 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 5.959 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 5.959 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 5.959 * [taylor]: Taking taylor expansion of 1/2 in U 5.959 * [backup-simplify]: Simplify 1/2 into 1/2 5.959 * [taylor]: Taking taylor expansion of K in U 5.959 * [backup-simplify]: Simplify K into K 5.960 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.960 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.960 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.960 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.960 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.960 * [backup-simplify]: Simplify (- 0) into 0 5.960 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.960 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.960 * [taylor]: Taking taylor expansion of J in U 5.960 * [backup-simplify]: Simplify J into J 5.960 * [backup-simplify]: Simplify (* 1 1) into 1 5.960 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 5.960 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.961 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 5.961 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 5.961 * [taylor]: Taking taylor expansion of 1 in U 5.961 * [backup-simplify]: Simplify 1 into 1 5.961 * [backup-simplify]: Simplify (+ 0 1) into 1 5.961 * [backup-simplify]: Simplify (log 1) into 0 5.961 * [backup-simplify]: Simplify (* 1/4 0) into 0 5.962 * [backup-simplify]: Simplify (+ 0 0) into 0 5.962 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.963 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 5.963 * [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))) 5.963 * [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)))) 5.964 * [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))) 5.965 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 5.965 * [backup-simplify]: Simplify (exp 0) into 1 5.965 * [taylor]: Taking taylor expansion of 1 in J 5.965 * [backup-simplify]: Simplify 1 into 1 5.965 * [taylor]: Taking taylor expansion of 1 in K 5.965 * [backup-simplify]: Simplify 1 into 1 5.965 * [backup-simplify]: Simplify 1 into 1 5.966 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 5.966 * [taylor]: Taking taylor expansion of 0 in J 5.966 * [backup-simplify]: Simplify 0 into 0 5.966 * [taylor]: Taking taylor expansion of 0 in K 5.966 * [backup-simplify]: Simplify 0 into 0 5.966 * [backup-simplify]: Simplify 0 into 0 5.966 * [taylor]: Taking taylor expansion of 0 in K 5.966 * [backup-simplify]: Simplify 0 into 0 5.966 * [backup-simplify]: Simplify 0 into 0 5.966 * [backup-simplify]: Simplify 0 into 0 5.966 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1)))) into (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 5.966 * [taylor]: Taking taylor expansion of (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 5.966 * [taylor]: Taking taylor expansion of 1/16 in J 5.966 * [backup-simplify]: Simplify 1/16 into 1/16 5.966 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 5.966 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 5.966 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 5.966 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 5.966 * [taylor]: Taking taylor expansion of 1/2 in J 5.967 * [backup-simplify]: Simplify 1/2 into 1/2 5.967 * [taylor]: Taking taylor expansion of K in J 5.967 * [backup-simplify]: Simplify K into K 5.967 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.967 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.967 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.967 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.967 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.967 * [backup-simplify]: Simplify (- 0) into 0 5.967 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.967 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.967 * [taylor]: Taking taylor expansion of J in J 5.967 * [backup-simplify]: Simplify 0 into 0 5.967 * [backup-simplify]: Simplify 1 into 1 5.967 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 5.967 * [backup-simplify]: Simplify (* 1 1) into 1 5.968 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 5.968 * [backup-simplify]: Simplify (/ 1/16 (pow (cos (* 1/2 K)) 2)) into (/ 1/16 (pow (cos (* 1/2 K)) 2)) 5.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.968 * [backup-simplify]: Simplify (+ 0) into 0 5.969 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 5.969 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 5.969 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.970 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 5.970 * [backup-simplify]: Simplify (- 0) into 0 5.970 * [backup-simplify]: Simplify (+ 0 0) into 0 5.970 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 5.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.971 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.972 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 5.972 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 5.973 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.973 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 5.973 * [backup-simplify]: Simplify (- 0) into 0 5.973 * [backup-simplify]: Simplify (+ 0 0) into 0 5.974 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 5.974 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 5.975 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 5.975 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/16 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 5.975 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/16 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 5.975 * [taylor]: Taking taylor expansion of 0 in K 5.975 * [backup-simplify]: Simplify 0 into 0 5.975 * [backup-simplify]: Simplify 0 into 0 5.975 * [taylor]: Taking taylor expansion of 0 in K 5.975 * [backup-simplify]: Simplify 0 into 0 5.975 * [backup-simplify]: Simplify 0 into 0 5.975 * [taylor]: Taking taylor expansion of 0 in K 5.975 * [backup-simplify]: Simplify 0 into 0 5.975 * [backup-simplify]: Simplify 0 into 0 5.975 * [backup-simplify]: Simplify 1 into 1 5.976 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ (/ 1 U) (* (+ (/ 1 J) (/ 1 J)) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (+ (/ 1 J) (/ 1 J)) (cos (/ (/ 1 K) 2))))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) 5.976 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in (U J K) around 0 5.976 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in K 5.976 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in K 5.976 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in K 5.976 * [taylor]: Taking taylor expansion of 1/4 in K 5.976 * [backup-simplify]: Simplify 1/4 into 1/4 5.976 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 5.976 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 5.976 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 5.976 * [taylor]: Taking taylor expansion of 1/4 in K 5.976 * [backup-simplify]: Simplify 1/4 into 1/4 5.976 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 5.976 * [taylor]: Taking taylor expansion of (pow J 2) in K 5.976 * [taylor]: Taking taylor expansion of J in K 5.976 * [backup-simplify]: Simplify J into J 5.976 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 5.976 * [taylor]: Taking taylor expansion of (pow U 2) in K 5.976 * [taylor]: Taking taylor expansion of U in K 5.976 * [backup-simplify]: Simplify U into U 5.976 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 5.976 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 5.976 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 5.976 * [taylor]: Taking taylor expansion of 1/2 in K 5.976 * [backup-simplify]: Simplify 1/2 into 1/2 5.976 * [taylor]: Taking taylor expansion of K in K 5.976 * [backup-simplify]: Simplify 0 into 0 5.976 * [backup-simplify]: Simplify 1 into 1 5.976 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.976 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.976 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.977 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.977 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 5.977 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 5.977 * [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))) 5.977 * [taylor]: Taking taylor expansion of 1 in K 5.977 * [backup-simplify]: Simplify 1 into 1 5.977 * [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)))) 5.977 * [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) 5.977 * [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)) 5.978 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) 5.978 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) 5.978 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in J 5.978 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in J 5.978 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in J 5.978 * [taylor]: Taking taylor expansion of 1/4 in J 5.978 * [backup-simplify]: Simplify 1/4 into 1/4 5.978 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 5.978 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 5.978 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 5.978 * [taylor]: Taking taylor expansion of 1/4 in J 5.978 * [backup-simplify]: Simplify 1/4 into 1/4 5.978 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 5.978 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.978 * [taylor]: Taking taylor expansion of J in J 5.978 * [backup-simplify]: Simplify 0 into 0 5.978 * [backup-simplify]: Simplify 1 into 1 5.978 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 5.978 * [taylor]: Taking taylor expansion of (pow U 2) in J 5.978 * [taylor]: Taking taylor expansion of U in J 5.978 * [backup-simplify]: Simplify U into U 5.978 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 5.978 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 5.978 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 5.978 * [taylor]: Taking taylor expansion of 1/2 in J 5.978 * [backup-simplify]: Simplify 1/2 into 1/2 5.978 * [taylor]: Taking taylor expansion of K in J 5.978 * [backup-simplify]: Simplify K into K 5.978 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.978 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.978 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.979 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.979 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.979 * [backup-simplify]: Simplify (- 0) into 0 5.979 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.979 * [backup-simplify]: Simplify (* 1 1) into 1 5.979 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.979 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 5.979 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 5.980 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 5.980 * [taylor]: Taking taylor expansion of 1 in J 5.980 * [backup-simplify]: Simplify 1 into 1 5.980 * [backup-simplify]: Simplify (+ 0 1) into 1 5.980 * [backup-simplify]: Simplify (log 1) into 0 5.980 * [backup-simplify]: Simplify (* 1/4 0) into 0 5.981 * [backup-simplify]: Simplify (+ 0 0) into 0 5.982 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.982 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 5.982 * [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))) 5.982 * [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)))) 5.984 * [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))) 5.984 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 5.984 * [backup-simplify]: Simplify (exp 0) into 1 5.984 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in U 5.984 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 5.984 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 5.984 * [taylor]: Taking taylor expansion of 1/4 in U 5.984 * [backup-simplify]: Simplify 1/4 into 1/4 5.984 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 5.984 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 5.984 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 5.984 * [taylor]: Taking taylor expansion of 1/4 in U 5.984 * [backup-simplify]: Simplify 1/4 into 1/4 5.984 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 5.984 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.984 * [taylor]: Taking taylor expansion of J in U 5.984 * [backup-simplify]: Simplify J into J 5.984 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 5.984 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.984 * [taylor]: Taking taylor expansion of U in U 5.984 * [backup-simplify]: Simplify 0 into 0 5.984 * [backup-simplify]: Simplify 1 into 1 5.984 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 5.984 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 5.984 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 5.984 * [taylor]: Taking taylor expansion of 1/2 in U 5.984 * [backup-simplify]: Simplify 1/2 into 1/2 5.984 * [taylor]: Taking taylor expansion of K in U 5.984 * [backup-simplify]: Simplify K into K 5.985 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.985 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.985 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.985 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.985 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.985 * [backup-simplify]: Simplify (- 0) into 0 5.985 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.985 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.985 * [backup-simplify]: Simplify (* 1 1) into 1 5.985 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 5.985 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 5.986 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 5.986 * [taylor]: Taking taylor expansion of 1 in U 5.986 * [backup-simplify]: Simplify 1 into 1 5.986 * [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))) 5.986 * [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))) 5.986 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 5.986 * [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))) 5.987 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 5.987 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 5.987 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in U 5.987 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 5.987 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 5.987 * [taylor]: Taking taylor expansion of 1/4 in U 5.987 * [backup-simplify]: Simplify 1/4 into 1/4 5.987 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 5.987 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 5.987 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 5.987 * [taylor]: Taking taylor expansion of 1/4 in U 5.987 * [backup-simplify]: Simplify 1/4 into 1/4 5.987 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 5.987 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.987 * [taylor]: Taking taylor expansion of J in U 5.987 * [backup-simplify]: Simplify J into J 5.987 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 5.987 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.987 * [taylor]: Taking taylor expansion of U in U 5.987 * [backup-simplify]: Simplify 0 into 0 5.987 * [backup-simplify]: Simplify 1 into 1 5.987 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 5.987 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 5.987 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 5.987 * [taylor]: Taking taylor expansion of 1/2 in U 5.987 * [backup-simplify]: Simplify 1/2 into 1/2 5.987 * [taylor]: Taking taylor expansion of K in U 5.987 * [backup-simplify]: Simplify K into K 5.987 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.987 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.987 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.987 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.987 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.988 * [backup-simplify]: Simplify (- 0) into 0 5.988 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.988 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.988 * [backup-simplify]: Simplify (* 1 1) into 1 5.988 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 5.988 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 5.988 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 5.988 * [taylor]: Taking taylor expansion of 1 in U 5.988 * [backup-simplify]: Simplify 1 into 1 5.988 * [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))) 5.989 * [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))) 5.989 * [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)))) 5.989 * [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))) 5.989 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 5.989 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 5.989 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 5.990 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 5.990 * [taylor]: Taking taylor expansion of 1/4 in J 5.990 * [backup-simplify]: Simplify 1/4 into 1/4 5.990 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 5.990 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 5.990 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 5.990 * [taylor]: Taking taylor expansion of 1/4 in J 5.990 * [backup-simplify]: Simplify 1/4 into 1/4 5.990 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 5.990 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.990 * [taylor]: Taking taylor expansion of J in J 5.990 * [backup-simplify]: Simplify 0 into 0 5.990 * [backup-simplify]: Simplify 1 into 1 5.990 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 5.990 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 5.990 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 5.990 * [taylor]: Taking taylor expansion of 1/2 in J 5.990 * [backup-simplify]: Simplify 1/2 into 1/2 5.990 * [taylor]: Taking taylor expansion of K in J 5.990 * [backup-simplify]: Simplify K into K 5.990 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.990 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.990 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.990 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.990 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.990 * [backup-simplify]: Simplify (- 0) into 0 5.990 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.991 * [backup-simplify]: Simplify (* 1 1) into 1 5.991 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 5.991 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 5.991 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 5.991 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 5.991 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 5.991 * [taylor]: Taking taylor expansion of 2 in J 5.991 * [backup-simplify]: Simplify 2 into 2 5.991 * [taylor]: Taking taylor expansion of (log U) in J 5.991 * [taylor]: Taking taylor expansion of U in J 5.991 * [backup-simplify]: Simplify U into U 5.991 * [backup-simplify]: Simplify (log U) into (log U) 5.991 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 5.992 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 5.992 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 5.992 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 5.992 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 5.992 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 5.992 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 5.992 * [taylor]: Taking taylor expansion of (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 5.992 * [taylor]: Taking taylor expansion of 1/4 in K 5.992 * [backup-simplify]: Simplify 1/4 into 1/4 5.992 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 5.992 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) in K 5.992 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 5.992 * [taylor]: Taking taylor expansion of 2 in K 5.992 * [backup-simplify]: Simplify 2 into 2 5.992 * [taylor]: Taking taylor expansion of (log J) in K 5.992 * [taylor]: Taking taylor expansion of J in K 5.992 * [backup-simplify]: Simplify J into J 5.992 * [backup-simplify]: Simplify (log J) into (log J) 5.992 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) in K 5.992 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K 5.992 * [taylor]: Taking taylor expansion of 1/4 in K 5.992 * [backup-simplify]: Simplify 1/4 into 1/4 5.992 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 5.992 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 5.992 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 5.992 * [taylor]: Taking taylor expansion of 1/2 in K 5.992 * [backup-simplify]: Simplify 1/2 into 1/2 5.992 * [taylor]: Taking taylor expansion of K in K 5.992 * [backup-simplify]: Simplify 0 into 0 5.992 * [backup-simplify]: Simplify 1 into 1 5.993 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.993 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.993 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 5.993 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 5.993 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 5.993 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 5.993 * [taylor]: Taking taylor expansion of 2 in K 5.993 * [backup-simplify]: Simplify 2 into 2 5.993 * [taylor]: Taking taylor expansion of (log U) in K 5.993 * [taylor]: Taking taylor expansion of U in K 5.993 * [backup-simplify]: Simplify U into U 5.993 * [backup-simplify]: Simplify (log U) into (log U) 5.993 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 5.993 * [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)))) 5.993 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 5.993 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 5.994 * [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))) 5.994 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 5.994 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 5.994 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 5.994 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.996 * [backup-simplify]: Simplify (+ 0) into 0 5.996 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 5.996 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 5.997 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.997 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 5.997 * [backup-simplify]: Simplify (- 0) into 0 5.998 * [backup-simplify]: Simplify (+ 0 0) into 0 5.998 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 5.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 5.999 * [backup-simplify]: 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 5.999 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 5.999 * [backup-simplify]: Simplify (+ 0 0) into 0 6.000 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 6.000 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 6.001 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 6.001 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.001 * [taylor]: Taking taylor expansion of 0 in J 6.001 * [backup-simplify]: Simplify 0 into 0 6.001 * [taylor]: Taking taylor expansion of 0 in K 6.001 * [backup-simplify]: Simplify 0 into 0 6.001 * [backup-simplify]: Simplify 0 into 0 6.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.002 * [backup-simplify]: Simplify (+ 0) into 0 6.002 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.003 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.003 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.003 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.004 * [backup-simplify]: Simplify (- 0) into 0 6.004 * [backup-simplify]: Simplify (+ 0 0) into 0 6.004 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.004 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.005 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 6.005 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 6.006 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 6.006 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 6.006 * [backup-simplify]: Simplify (- 0) into 0 6.007 * [backup-simplify]: Simplify (+ 0 0) into 0 6.007 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 6.008 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.008 * [taylor]: Taking taylor expansion of 0 in K 6.008 * [backup-simplify]: Simplify 0 into 0 6.008 * [backup-simplify]: Simplify 0 into 0 6.008 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 6.009 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 6.009 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.009 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.009 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 6.010 * [backup-simplify]: Simplify (+ 0 0) into 0 6.010 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 6.011 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 6.011 * [backup-simplify]: Simplify (- 0) into 0 6.011 * [backup-simplify]: Simplify (+ 0 0) into 0 6.012 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 6.012 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.012 * [backup-simplify]: Simplify 0 into 0 6.013 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.013 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.013 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.014 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.014 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.014 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.015 * [backup-simplify]: Simplify (- 0) into 0 6.015 * [backup-simplify]: Simplify (+ 0 0) into 0 6.015 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 6.017 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.017 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 6.017 * [backup-simplify]: Simplify (+ 0 1) into 1 6.019 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 6.019 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 6.020 * [backup-simplify]: Simplify (+ (* 1/4 (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 6.020 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 1) 1)))) into (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) 6.020 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in J 6.020 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in J 6.020 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 6.020 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 6.020 * [taylor]: Taking taylor expansion of 1/4 in J 6.020 * [backup-simplify]: Simplify 1/4 into 1/4 6.020 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 6.020 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 6.020 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 6.020 * [taylor]: Taking taylor expansion of 1/4 in J 6.020 * [backup-simplify]: Simplify 1/4 into 1/4 6.020 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 6.021 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.021 * [taylor]: Taking taylor expansion of J in J 6.021 * [backup-simplify]: Simplify 0 into 0 6.021 * [backup-simplify]: Simplify 1 into 1 6.021 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.021 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.021 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.021 * [taylor]: Taking taylor expansion of 1/2 in J 6.021 * [backup-simplify]: Simplify 1/2 into 1/2 6.021 * [taylor]: Taking taylor expansion of K in J 6.021 * [backup-simplify]: Simplify K into K 6.021 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.021 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.021 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.021 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.021 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.021 * [backup-simplify]: Simplify (- 0) into 0 6.021 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.021 * [backup-simplify]: Simplify (* 1 1) into 1 6.022 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.022 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 6.022 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 6.022 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 6.022 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 6.022 * [taylor]: Taking taylor expansion of 2 in J 6.022 * [backup-simplify]: Simplify 2 into 2 6.022 * [taylor]: Taking taylor expansion of (log U) in J 6.022 * [taylor]: Taking taylor expansion of U in J 6.022 * [backup-simplify]: Simplify U into U 6.022 * [backup-simplify]: Simplify (log U) into (log U) 6.022 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 6.022 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 6.022 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 6.023 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 6.023 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 6.023 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 6.023 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.023 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.023 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.023 * [taylor]: Taking taylor expansion of 1/2 in J 6.023 * [backup-simplify]: Simplify 1/2 into 1/2 6.023 * [taylor]: Taking taylor expansion of K in J 6.023 * [backup-simplify]: Simplify K into K 6.023 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.023 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.023 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.023 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.023 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.023 * [backup-simplify]: Simplify (- 0) into 0 6.024 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.024 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.024 * [taylor]: Taking taylor expansion of J in J 6.024 * [backup-simplify]: Simplify 0 into 0 6.024 * [backup-simplify]: Simplify 1 into 1 6.024 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.024 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 6.024 * [backup-simplify]: Simplify (* 1 1) into 1 6.024 * [backup-simplify]: Simplify (/ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 1) into (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 6.025 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.025 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.025 * [backup-simplify]: Simplify (+ 0) into 0 6.026 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.026 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.026 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.027 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.027 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.027 * [backup-simplify]: Simplify (- 0) into 0 6.028 * [backup-simplify]: Simplify (+ 0 0) into 0 6.028 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.028 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.028 * [backup-simplify]: Simplify (- 0) into 0 6.029 * [backup-simplify]: Simplify (+ 0 0) into 0 6.029 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.029 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.030 * [backup-simplify]: Simplify (+ 0) into 0 6.030 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.030 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.030 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.031 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.031 * [backup-simplify]: Simplify (- 0) into 0 6.031 * [backup-simplify]: Simplify (+ 0 0) into 0 6.031 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.031 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.032 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 6.032 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 6.033 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 6.033 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 6.033 * [backup-simplify]: Simplify (- 0) into 0 6.034 * [backup-simplify]: Simplify (+ 0 0) into 0 6.034 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 6.035 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.035 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.036 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.037 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.037 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.038 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.038 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.039 * [backup-simplify]: Simplify (- 0) into 0 6.039 * [backup-simplify]: Simplify (+ 0 0) into 0 6.040 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.040 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.041 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 6.043 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 6.044 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 6.045 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 6.045 * [backup-simplify]: Simplify (- 0) into 0 6.046 * [backup-simplify]: Simplify (+ 0 0) into 0 6.047 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 6.048 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.049 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 6.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.050 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)))) into 0 6.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.054 * [taylor]: Taking taylor expansion of 0 in K 6.054 * [backup-simplify]: Simplify 0 into 0 6.054 * [backup-simplify]: Simplify 0 into 0 6.054 * [taylor]: Taking taylor expansion of 0 in K 6.054 * [backup-simplify]: Simplify 0 into 0 6.054 * [backup-simplify]: Simplify 0 into 0 6.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.056 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.057 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.058 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.058 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.059 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.059 * [backup-simplify]: Simplify (- 0) into 0 6.060 * [backup-simplify]: Simplify (+ 0 0) into 0 6.060 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.061 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.062 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 6.063 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 6.065 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 6.066 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 6.066 * [backup-simplify]: Simplify (- 0) into 0 6.066 * [backup-simplify]: Simplify (+ 0 0) into 0 6.067 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 6.069 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.069 * [taylor]: Taking taylor expansion of 0 in K 6.069 * [backup-simplify]: Simplify 0 into 0 6.069 * [backup-simplify]: Simplify 0 into 0 6.069 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log (/ 1 J))) (log (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)))) (* 2 (log (/ 1 U)))))) into (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) 6.070 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ (/ 1 (- U)) (* (+ (/ 1 (- J)) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (+ (/ 1 (- J)) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) 1))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) 6.070 * [approximate]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in (U J K) around 0 6.070 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in K 6.070 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 6.070 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 6.070 * [taylor]: Taking taylor expansion of 1/4 in K 6.070 * [backup-simplify]: Simplify 1/4 into 1/4 6.070 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 6.070 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 6.071 * [taylor]: Taking taylor expansion of 1 in K 6.071 * [backup-simplify]: Simplify 1 into 1 6.071 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 6.071 * [taylor]: Taking taylor expansion of 1/4 in K 6.071 * [backup-simplify]: Simplify 1/4 into 1/4 6.071 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 6.071 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.071 * [taylor]: Taking taylor expansion of J in K 6.071 * [backup-simplify]: Simplify J into J 6.071 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 6.071 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 6.071 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.071 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.071 * [taylor]: Taking taylor expansion of -1/2 in K 6.071 * [backup-simplify]: Simplify -1/2 into -1/2 6.071 * [taylor]: Taking taylor expansion of K in K 6.071 * [backup-simplify]: Simplify 0 into 0 6.071 * [backup-simplify]: Simplify 1 into 1 6.071 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.071 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.072 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.072 * [taylor]: Taking taylor expansion of U in K 6.072 * [backup-simplify]: Simplify U into U 6.072 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.072 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.072 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.072 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.072 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.072 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 6.073 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 6.073 * [backup-simplify]: Simplify (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 6.074 * [backup-simplify]: Simplify (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 6.074 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) 6.074 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in J 6.074 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 6.074 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 6.074 * [taylor]: Taking taylor expansion of 1/4 in J 6.074 * [backup-simplify]: Simplify 1/4 into 1/4 6.074 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 6.074 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 6.074 * [taylor]: Taking taylor expansion of 1 in J 6.074 * [backup-simplify]: Simplify 1 into 1 6.074 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 6.074 * [taylor]: Taking taylor expansion of 1/4 in J 6.074 * [backup-simplify]: Simplify 1/4 into 1/4 6.074 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 6.074 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.074 * [taylor]: Taking taylor expansion of J in J 6.074 * [backup-simplify]: Simplify 0 into 0 6.074 * [backup-simplify]: Simplify 1 into 1 6.074 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 6.075 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 6.075 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.075 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.075 * [taylor]: Taking taylor expansion of -1/2 in J 6.075 * [backup-simplify]: Simplify -1/2 into -1/2 6.075 * [taylor]: Taking taylor expansion of K in J 6.075 * [backup-simplify]: Simplify K into K 6.075 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.075 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.075 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.075 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.075 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.076 * [backup-simplify]: Simplify (- 0) into 0 6.076 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.076 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.076 * [taylor]: Taking taylor expansion of U in J 6.076 * [backup-simplify]: Simplify U into U 6.076 * [backup-simplify]: Simplify (* 1 1) into 1 6.076 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.076 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.076 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.077 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.077 * [backup-simplify]: Simplify (+ 1 0) into 1 6.077 * [backup-simplify]: Simplify (log 1) into 0 6.078 * [backup-simplify]: Simplify (* 1/4 0) into 0 6.078 * [backup-simplify]: Simplify (+ 0 0) into 0 6.080 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.080 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 6.080 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.081 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 6.083 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.083 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 6.083 * [backup-simplify]: Simplify (exp 0) into 1 6.083 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in U 6.083 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 6.083 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 6.083 * [taylor]: Taking taylor expansion of 1/4 in U 6.083 * [backup-simplify]: Simplify 1/4 into 1/4 6.084 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 6.084 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 6.084 * [taylor]: Taking taylor expansion of 1 in U 6.084 * [backup-simplify]: Simplify 1 into 1 6.084 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 6.084 * [taylor]: Taking taylor expansion of 1/4 in U 6.084 * [backup-simplify]: Simplify 1/4 into 1/4 6.084 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 6.084 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.084 * [taylor]: Taking taylor expansion of J in U 6.084 * [backup-simplify]: Simplify J into J 6.084 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 6.084 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 6.084 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.084 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.084 * [taylor]: Taking taylor expansion of -1/2 in U 6.084 * [backup-simplify]: Simplify -1/2 into -1/2 6.084 * [taylor]: Taking taylor expansion of K in U 6.084 * [backup-simplify]: Simplify K into K 6.084 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.084 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.084 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.084 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.084 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.085 * [backup-simplify]: Simplify (- 0) into 0 6.085 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.085 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.085 * [taylor]: Taking taylor expansion of U in U 6.085 * [backup-simplify]: Simplify 0 into 0 6.085 * [backup-simplify]: Simplify 1 into 1 6.085 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.085 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.085 * [backup-simplify]: Simplify (* 1 1) into 1 6.086 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 6.086 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 6.086 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 6.086 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 6.086 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 6.087 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 6.087 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 6.088 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 6.088 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in U 6.088 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 6.088 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 6.088 * [taylor]: Taking taylor expansion of 1/4 in U 6.088 * [backup-simplify]: Simplify 1/4 into 1/4 6.088 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 6.088 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 6.088 * [taylor]: Taking taylor expansion of 1 in U 6.088 * [backup-simplify]: Simplify 1 into 1 6.088 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 6.088 * [taylor]: Taking taylor expansion of 1/4 in U 6.088 * [backup-simplify]: Simplify 1/4 into 1/4 6.088 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 6.088 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.088 * [taylor]: Taking taylor expansion of J in U 6.088 * [backup-simplify]: Simplify J into J 6.088 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 6.088 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 6.088 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.088 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.088 * [taylor]: Taking taylor expansion of -1/2 in U 6.088 * [backup-simplify]: Simplify -1/2 into -1/2 6.088 * [taylor]: Taking taylor expansion of K in U 6.088 * [backup-simplify]: Simplify K into K 6.088 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.088 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.089 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.089 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.089 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.089 * [backup-simplify]: Simplify (- 0) into 0 6.089 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.089 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.089 * [taylor]: Taking taylor expansion of U in U 6.089 * [backup-simplify]: Simplify 0 into 0 6.089 * [backup-simplify]: Simplify 1 into 1 6.089 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.090 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.090 * [backup-simplify]: Simplify (* 1 1) into 1 6.090 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 6.090 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 6.090 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 6.091 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 6.091 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 6.092 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 6.092 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 6.092 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 6.092 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 6.093 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 6.093 * [taylor]: Taking taylor expansion of 1/4 in J 6.093 * [backup-simplify]: Simplify 1/4 into 1/4 6.093 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 6.093 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 6.093 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 6.093 * [taylor]: Taking taylor expansion of 1/4 in J 6.093 * [backup-simplify]: Simplify 1/4 into 1/4 6.093 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 6.093 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.093 * [taylor]: Taking taylor expansion of J in J 6.093 * [backup-simplify]: Simplify 0 into 0 6.093 * [backup-simplify]: Simplify 1 into 1 6.093 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 6.093 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.093 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.093 * [taylor]: Taking taylor expansion of -1/2 in J 6.093 * [backup-simplify]: Simplify -1/2 into -1/2 6.093 * [taylor]: Taking taylor expansion of K in J 6.093 * [backup-simplify]: Simplify K into K 6.093 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.093 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.093 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.093 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.093 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.094 * [backup-simplify]: Simplify (- 0) into 0 6.094 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.094 * [backup-simplify]: Simplify (* 1 1) into 1 6.094 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.095 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 6.095 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 6.095 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 6.095 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 6.095 * [taylor]: Taking taylor expansion of 2 in J 6.095 * [backup-simplify]: Simplify 2 into 2 6.095 * [taylor]: Taking taylor expansion of (log U) in J 6.095 * [taylor]: Taking taylor expansion of U in J 6.095 * [backup-simplify]: Simplify U into U 6.095 * [backup-simplify]: Simplify (log U) into (log U) 6.096 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 6.096 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 6.096 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 6.096 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 6.096 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 6.097 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 6.097 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 6.097 * [taylor]: Taking taylor expansion of (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 6.097 * [taylor]: Taking taylor expansion of 1/4 in K 6.097 * [backup-simplify]: Simplify 1/4 into 1/4 6.097 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 6.097 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) in K 6.097 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 6.097 * [taylor]: Taking taylor expansion of 2 in K 6.097 * [backup-simplify]: Simplify 2 into 2 6.097 * [taylor]: Taking taylor expansion of (log J) in K 6.097 * [taylor]: Taking taylor expansion of J in K 6.097 * [backup-simplify]: Simplify J into J 6.097 * [backup-simplify]: Simplify (log J) into (log J) 6.097 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) in K 6.097 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K 6.097 * [taylor]: Taking taylor expansion of 1/4 in K 6.097 * [backup-simplify]: Simplify 1/4 into 1/4 6.097 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 6.097 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.097 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.097 * [taylor]: Taking taylor expansion of -1/2 in K 6.097 * [backup-simplify]: Simplify -1/2 into -1/2 6.097 * [taylor]: Taking taylor expansion of K in K 6.097 * [backup-simplify]: Simplify 0 into 0 6.097 * [backup-simplify]: Simplify 1 into 1 6.098 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.098 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.098 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.098 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 6.098 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 6.098 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 6.098 * [taylor]: Taking taylor expansion of 2 in K 6.098 * [backup-simplify]: Simplify 2 into 2 6.098 * [taylor]: Taking taylor expansion of (log U) in K 6.098 * [taylor]: Taking taylor expansion of U in K 6.098 * [backup-simplify]: Simplify U into U 6.098 * [backup-simplify]: Simplify (log U) into (log U) 6.099 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 6.099 * [backup-simplify]: Simplify (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 6.099 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 6.099 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 6.099 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 6.099 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 6.100 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 6.100 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 6.100 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.101 * [backup-simplify]: Simplify (+ 0) into 0 6.102 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.102 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.103 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.103 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.104 * [backup-simplify]: Simplify (- 0) into 0 6.104 * [backup-simplify]: Simplify (+ 0 0) into 0 6.104 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.105 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 6.105 * [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 6.106 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 6.106 * [backup-simplify]: Simplify (+ 0 0) into 0 6.107 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 6.108 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 6.108 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 6.109 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.110 * [taylor]: Taking taylor expansion of 0 in J 6.110 * [backup-simplify]: Simplify 0 into 0 6.110 * [taylor]: Taking taylor expansion of 0 in K 6.110 * [backup-simplify]: Simplify 0 into 0 6.110 * [backup-simplify]: Simplify 0 into 0 6.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.111 * [backup-simplify]: Simplify (+ 0) into 0 6.111 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.111 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.112 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.113 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.113 * [backup-simplify]: Simplify (- 0) into 0 6.113 * [backup-simplify]: Simplify (+ 0 0) into 0 6.113 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.114 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 6.114 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 6.115 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 6.116 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 6.118 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 6.119 * [backup-simplify]: Simplify (- 0) into 0 6.119 * [backup-simplify]: Simplify (+ 0 0) into 0 6.120 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 6.121 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.121 * [taylor]: Taking taylor expansion of 0 in K 6.121 * [backup-simplify]: Simplify 0 into 0 6.121 * [backup-simplify]: Simplify 0 into 0 6.122 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 6.122 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 6.123 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.123 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 6.124 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 6.124 * [backup-simplify]: Simplify (+ 0 0) into 0 6.125 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 6.125 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 6.126 * [backup-simplify]: Simplify (- 0) into 0 6.126 * [backup-simplify]: Simplify (+ 0 0) into 0 6.127 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 6.128 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.128 * [backup-simplify]: Simplify 0 into 0 6.128 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.130 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.131 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.131 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.132 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.132 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.133 * [backup-simplify]: Simplify (- 0) into 0 6.133 * [backup-simplify]: Simplify (+ 0 0) into 0 6.134 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 6.134 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 6.135 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 6.136 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 6.136 * [backup-simplify]: Simplify (+ 1 0) into 1 6.138 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 6.139 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 6.140 * [backup-simplify]: Simplify (+ (* 1/4 (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 6.141 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 1) 1)))) into (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) 6.141 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in J 6.141 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in J 6.141 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 6.141 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.141 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.141 * [taylor]: Taking taylor expansion of -1/2 in J 6.141 * [backup-simplify]: Simplify -1/2 into -1/2 6.141 * [taylor]: Taking taylor expansion of K in J 6.141 * [backup-simplify]: Simplify K into K 6.141 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.141 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.141 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.141 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.141 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.142 * [backup-simplify]: Simplify (- 0) into 0 6.142 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.142 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 6.142 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 6.142 * [taylor]: Taking taylor expansion of 1/4 in J 6.142 * [backup-simplify]: Simplify 1/4 into 1/4 6.142 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 6.142 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 6.142 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 6.142 * [taylor]: Taking taylor expansion of 1/4 in J 6.142 * [backup-simplify]: Simplify 1/4 into 1/4 6.142 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 6.142 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.142 * [taylor]: Taking taylor expansion of J in J 6.142 * [backup-simplify]: Simplify 0 into 0 6.142 * [backup-simplify]: Simplify 1 into 1 6.142 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 6.142 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.142 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.142 * [taylor]: Taking taylor expansion of -1/2 in J 6.142 * [backup-simplify]: Simplify -1/2 into -1/2 6.142 * [taylor]: Taking taylor expansion of K in J 6.143 * [backup-simplify]: Simplify K into K 6.143 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.143 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.143 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.143 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.143 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.143 * [backup-simplify]: Simplify (- 0) into 0 6.143 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.144 * [backup-simplify]: Simplify (* 1 1) into 1 6.144 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.144 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 6.144 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 6.144 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 6.144 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 6.144 * [taylor]: Taking taylor expansion of 2 in J 6.144 * [backup-simplify]: Simplify 2 into 2 6.144 * [taylor]: Taking taylor expansion of (log U) in J 6.144 * [taylor]: Taking taylor expansion of U in J 6.144 * [backup-simplify]: Simplify U into U 6.144 * [backup-simplify]: Simplify (log U) into (log U) 6.145 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 6.145 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 6.145 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 6.146 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 6.146 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 6.146 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 6.146 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.146 * [taylor]: Taking taylor expansion of J in J 6.146 * [backup-simplify]: Simplify 0 into 0 6.146 * [backup-simplify]: Simplify 1 into 1 6.146 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.147 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 6.147 * [backup-simplify]: Simplify (* 1 1) into 1 6.148 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 1) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 6.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.149 * [backup-simplify]: Simplify (+ 0) into 0 6.149 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.149 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.150 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.151 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.151 * [backup-simplify]: Simplify (- 0) into 0 6.151 * [backup-simplify]: Simplify (+ 0 0) into 0 6.152 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.152 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 6.153 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 6.153 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 6.154 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 6.155 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 6.155 * [backup-simplify]: Simplify (- 0) into 0 6.156 * [backup-simplify]: Simplify (+ 0 0) into 0 6.157 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 6.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.159 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.159 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.159 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.160 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.161 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.161 * [backup-simplify]: Simplify (- 0) into 0 6.161 * [backup-simplify]: Simplify (+ 0 0) into 0 6.162 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 6.162 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 6.163 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 6.165 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 6.167 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 6.168 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 6.168 * [backup-simplify]: Simplify (- 0) into 0 6.168 * [backup-simplify]: Simplify (+ 0 0) into 0 6.169 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 6.171 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.171 * [backup-simplify]: Simplify (+ 0) into 0 6.172 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.172 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.172 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.173 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.173 * [backup-simplify]: Simplify (- 0) into 0 6.173 * [backup-simplify]: Simplify (+ 0 0) into 0 6.173 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.174 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.174 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.175 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.175 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.175 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.176 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.176 * [backup-simplify]: Simplify (- 0) into 0 6.176 * [backup-simplify]: Simplify (+ 0 0) into 0 6.176 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 6.177 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))))) into 0 6.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.178 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))) into 0 6.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)))) into 0 6.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.180 * [taylor]: Taking taylor expansion of 0 in K 6.180 * [backup-simplify]: Simplify 0 into 0 6.180 * [backup-simplify]: Simplify 0 into 0 6.180 * [taylor]: Taking taylor expansion of 0 in K 6.180 * [backup-simplify]: Simplify 0 into 0 6.180 * [backup-simplify]: Simplify 0 into 0 6.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.181 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.182 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.182 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.182 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.183 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.183 * [backup-simplify]: Simplify (- 0) into 0 6.183 * [backup-simplify]: Simplify (+ 0 0) into 0 6.183 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 6.184 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 6.184 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 6.186 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 6.187 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 6.187 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 6.187 * [backup-simplify]: Simplify (- 0) into 0 6.188 * [backup-simplify]: Simplify (+ 0 0) into 0 6.188 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 6.189 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.189 * [taylor]: Taking taylor expansion of 0 in K 6.189 * [backup-simplify]: Simplify 0 into 0 6.189 * [backup-simplify]: Simplify 0 into 0 6.190 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log (/ 1 (- J)))) (log (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)))) (* 2 (log (/ 1 (- U))))))) into (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 6.190 * * * [progress]: simplifying candidates 6.190 * * * * [progress]: [ 1 / 88 ] simplifiying candidate # 6.190 * * * * [progress]: [ 2 / 88 ] simplifiying candidate # 6.190 * * * * [progress]: [ 3 / 88 ] simplifiying candidate # 6.190 * * * * [progress]: [ 4 / 88 ] simplifiying candidate # 6.190 * * * * [progress]: [ 5 / 88 ] simplifiying candidate # 6.190 * * * * [progress]: [ 6 / 88 ] simplifiying candidate # 6.190 * * * * [progress]: [ 7 / 88 ] simplifiying candidate # 6.190 * * * * [progress]: [ 8 / 88 ] simplifiying candidate # 6.190 * * * * [progress]: [ 9 / 88 ] simplifiying candidate # 6.190 * * * * [progress]: [ 10 / 88 ] simplifiying candidate # 6.190 * * * * [progress]: [ 11 / 88 ] simplifiying candidate # 6.190 * * * * [progress]: [ 12 / 88 ] simplifiying candidate # 6.190 * * * * [progress]: [ 13 / 88 ] simplifiying candidate # 6.190 * * * * [progress]: [ 14 / 88 ] simplifiying candidate # 6.190 * * * * [progress]: [ 15 / 88 ] simplifiying candidate # 6.190 * * * * [progress]: [ 16 / 88 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))> 6.191 * * * * [progress]: [ 17 / 88 ] simplifiying candidate # 6.191 * * * * [progress]: [ 18 / 88 ] simplifiying candidate # 6.191 * * * * [progress]: [ 19 / 88 ] simplifiying candidate # 6.191 * * * * [progress]: [ 20 / 88 ] simplifiying candidate # 6.191 * * * * [progress]: [ 21 / 88 ] simplifiying candidate # 6.191 * * * * [progress]: [ 22 / 88 ] simplifiying candidate # 6.191 * * * * [progress]: [ 23 / 88 ] simplifiying candidate # 6.191 * * * * [progress]: [ 24 / 88 ] simplifiying candidate # 6.191 * * * * [progress]: [ 25 / 88 ] simplifiying candidate # 6.191 * * * * [progress]: [ 26 / 88 ] simplifiying candidate # 6.191 * * * * [progress]: [ 27 / 88 ] simplifiying candidate # 6.191 * * * * [progress]: [ 28 / 88 ] simplifiying candidate # 6.191 * * * * [progress]: [ 29 / 88 ] simplifiying candidate # 6.191 * * * * [progress]: [ 30 / 88 ] simplifiying candidate # 6.191 * * * * [progress]: [ 31 / 88 ] simplifiying candidate # 6.191 * * * * [progress]: [ 32 / 88 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))))) (* (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))> 6.191 * * * * [progress]: [ 33 / 88 ] simplifiying candidate # 6.191 * * * * [progress]: [ 34 / 88 ] simplifiying candidate # 6.191 * * * * [progress]: [ 35 / 88 ] simplifiying candidate # 6.191 * * * * [progress]: [ 36 / 88 ] simplifiying candidate # 6.191 * * * * [progress]: [ 37 / 88 ] simplifiying candidate # 6.192 * * * * [progress]: [ 38 / 88 ] simplifiying candidate # 6.192 * * * * [progress]: [ 39 / 88 ] simplifiying candidate # 6.192 * * * * [progress]: [ 40 / 88 ] simplifiying candidate # 6.192 * * * * [progress]: [ 41 / 88 ] simplifiying candidate # 6.192 * * * * [progress]: [ 42 / 88 ] simplifiying candidate # 6.192 * * * * [progress]: [ 43 / 88 ] simplifiying candidate # 6.192 * * * * [progress]: [ 44 / 88 ] simplifiying candidate # 6.192 * * * * [progress]: [ 45 / 88 ] simplifiying candidate # 6.192 * * * * [progress]: [ 46 / 88 ] simplifiying candidate # 6.192 * * * * [progress]: [ 47 / 88 ] simplifiying candidate # 6.192 * * * * [progress]: [ 48 / 88 ] simplifiying candidate # 6.192 * * * * [progress]: [ 49 / 88 ] simplifiying candidate # 6.192 * * * * [progress]: [ 50 / 88 ] simplifiying candidate # 6.192 * * * * [progress]: [ 51 / 88 ] simplifiying candidate # 6.192 * * * * [progress]: [ 52 / 88 ] simplifiying candidate # 6.192 * * * * [progress]: [ 53 / 88 ] simplifiying candidate # 6.192 * * * * [progress]: [ 54 / 88 ] simplifiying candidate #real (real->posit16 (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))> 6.192 * * * * [progress]: [ 55 / 88 ] simplifiying candidate # 6.192 * * * * [progress]: [ 56 / 88 ] simplifiying candidate # 6.192 * * * * [progress]: [ 57 / 88 ] simplifiying candidate # 6.193 * * * * [progress]: [ 58 / 88 ] simplifiying candidate # 6.193 * * * * [progress]: [ 59 / 88 ] simplifiying candidate # 6.193 * * * * [progress]: [ 60 / 88 ] simplifiying candidate # 6.193 * * * * [progress]: [ 61 / 88 ] simplifiying candidate # 6.193 * * * * [progress]: [ 62 / 88 ] simplifiying candidate # 6.193 * * * * [progress]: [ 63 / 88 ] simplifiying candidate # 6.193 * * * * [progress]: [ 64 / 88 ] simplifiying candidate # 6.193 * * * * [progress]: [ 65 / 88 ] simplifiying candidate # 6.193 * * * * [progress]: [ 66 / 88 ] simplifiying candidate # 6.193 * * * * [progress]: [ 67 / 88 ] simplifiying candidate # 6.193 * * * * [progress]: [ 68 / 88 ] simplifiying candidate # 6.193 * * * * [progress]: [ 69 / 88 ] simplifiying candidate # 6.193 * * * * [progress]: [ 70 / 88 ] simplifiying candidate # 6.193 * * * * [progress]: [ 71 / 88 ] simplifiying candidate # 6.193 * * * * [progress]: [ 72 / 88 ] simplifiying candidate # 6.193 * * * * [progress]: [ 73 / 88 ] simplifiying candidate # 6.193 * * * * [progress]: [ 74 / 88 ] simplifiying candidate # 6.193 * * * * [progress]: [ 75 / 88 ] simplifiying candidate # 6.193 * * * * [progress]: [ 76 / 88 ] simplifiying candidate #real (real->posit16 (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))))) (* (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))> 6.193 * * * * [progress]: [ 77 / 88 ] simplifiying candidate # 6.193 * * * * [progress]: [ 78 / 88 ] simplifiying candidate # 6.193 * * * * [progress]: [ 79 / 88 ] simplifiying candidate # 6.194 * * * * [progress]: [ 80 / 88 ] simplifiying candidate # 6.194 * * * * [progress]: [ 81 / 88 ] simplifiying candidate # 6.194 * * * * [progress]: [ 82 / 88 ] simplifiying candidate # 6.194 * * * * [progress]: [ 83 / 88 ] simplifiying candidate # 6.194 * * * * [progress]: [ 84 / 88 ] simplifiying candidate # 6.194 * * * * [progress]: [ 85 / 88 ] simplifiying candidate # 6.194 * * * * [progress]: [ 86 / 88 ] simplifiying candidate # 6.194 * * * * [progress]: [ 87 / 88 ] simplifiying candidate # 6.194 * * * * [progress]: [ 88 / 88 ] simplifiying candidate # 6.195 * [simplify]: Simplifying: (log (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (exp (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (* (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (* (* (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (* (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (sqrt (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt 1) (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (sqrt (+ (pow (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (sqrt (- (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2)))))) (* 1 1))) (sqrt (- (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (/ 1 2) (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (real->posit16 (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (log (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (exp (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (* (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (* (* (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (* (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (sqrt (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt 1) (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (sqrt (+ (pow (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (sqrt (- (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2)))))) (* 1 1))) (sqrt (- (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (/ 1 2) (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (real->posit16 (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (log (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (exp (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (* (cbrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (cbrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))))) (cbrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (* (* (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (sqrt (* (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))))) (sqrt (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (sqrt (sqrt (* (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))))) (sqrt (sqrt (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (sqrt (sqrt 1)) (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (sqrt 1) (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (pow (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 3) (pow 1 3)))) (sqrt (sqrt (+ (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))))) (sqrt (sqrt (- (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2)))))) (* 1 1)))) (sqrt (sqrt (- (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) 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1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 1 (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 1 (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 6.197 * * [simplify]: iteration 1: (92 enodes) 6.247 * * [simplify]: iteration 2: (348 enodes) 6.365 * * [simplify]: iteration 3: (702 enodes) 6.600 * * [simplify]: Extracting #0: cost 35 inf + 0 6.600 * * [simplify]: Extracting #1: cost 136 inf + 3 6.601 * * [simplify]: Extracting #2: cost 350 inf + 347 6.603 * * [simplify]: Extracting #3: cost 646 inf + 1862 6.610 * * [simplify]: Extracting #4: cost 617 inf + 33741 6.635 * * [simplify]: Extracting #5: cost 355 inf + 112590 6.683 * * [simplify]: Extracting #6: cost 160 inf + 181488 6.743 * * [simplify]: Extracting #7: cost 22 inf + 235390 6.830 * * [simplify]: Extracting #8: cost 0 inf + 245666 6.894 * [simplify]: Simplified to: (log (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (exp (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (* (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1)))) (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (* (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1) (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (fabs (cbrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (sqrt (cbrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (sqrt (sqrt (+ (* (/ 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U))) (* 1/4 (log (/ (/ 1/4 (cos (* 1/2 K))) (cos (* 1/2 K))))))) (exp (+ (* (log (/ (/ 1/4 (cos (* 1/2 K))) (cos (* 1/2 K)))) 1/4) (* 1/2 (- (log (/ -1 J)) (log (/ -1 U)))))) 1 (exp (+ (* 1/2 (+ (- (log J)) (log U))) (* 1/4 (log (/ (/ 1/4 (cos (* 1/2 K))) (cos (* 1/2 K))))))) (exp (+ (* (log (/ (/ 1/4 (cos (* 1/2 K))) (cos (* 1/2 K)))) 1/4) (* 1/2 (- (log (/ -1 J)) (log (/ -1 U)))))) 6.921 * * * [progress]: adding candidates to table 8.145 * * [progress]: iteration 3 / 4 8.145 * * * [progress]: picking best candidate 8.176 * * * * [pick]: Picked # 8.177 * * * [progress]: localizing error 8.242 * * * [progress]: generating rewritten candidates 8.242 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1) 8.317 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1) 8.397 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 8.493 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1) 8.566 * * * [progress]: generating series expansions 8.566 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1) 8.567 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 8.567 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0 8.567 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 8.567 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 8.567 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 8.567 * [taylor]: Taking taylor expansion of 1/4 in K 8.567 * [backup-simplify]: Simplify 1/4 into 1/4 8.567 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 8.567 * [taylor]: Taking taylor expansion of (pow U 2) in K 8.567 * [taylor]: Taking taylor expansion of U in K 8.567 * [backup-simplify]: Simplify U into U 8.567 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 8.567 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 8.567 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 8.567 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 8.567 * [taylor]: Taking taylor expansion of 1/2 in K 8.567 * [backup-simplify]: Simplify 1/2 into 1/2 8.567 * [taylor]: Taking taylor expansion of K in K 8.567 * [backup-simplify]: Simplify 0 into 0 8.567 * [backup-simplify]: Simplify 1 into 1 8.568 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.569 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.569 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.569 * [taylor]: Taking taylor expansion of J in K 8.569 * [backup-simplify]: Simplify J into J 8.569 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.569 * [backup-simplify]: Simplify (* 1 1) into 1 8.570 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.570 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 8.570 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 8.570 * [taylor]: Taking taylor expansion of 1 in K 8.570 * [backup-simplify]: Simplify 1 into 1 8.570 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 8.570 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 8.570 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 8.570 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 8.571 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.571 * [backup-simplify]: Simplify (+ 0) into 0 8.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 8.572 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 8.573 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 8.573 * [backup-simplify]: Simplify (+ 0 0) into 0 8.573 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 8.574 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 8.574 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 8.574 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 8.574 * [taylor]: Taking taylor expansion of 1/4 in J 8.574 * [backup-simplify]: Simplify 1/4 into 1/4 8.574 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 8.574 * [taylor]: Taking taylor expansion of (pow U 2) in J 8.574 * [taylor]: Taking taylor expansion of U in J 8.574 * [backup-simplify]: Simplify U into U 8.574 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 8.574 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 8.574 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 8.574 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 8.574 * [taylor]: Taking taylor expansion of 1/2 in J 8.574 * [backup-simplify]: Simplify 1/2 into 1/2 8.574 * [taylor]: Taking taylor expansion of K in J 8.574 * [backup-simplify]: Simplify K into K 8.574 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.574 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.574 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.574 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.574 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.575 * [backup-simplify]: Simplify (- 0) into 0 8.575 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.575 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.575 * [taylor]: Taking taylor expansion of J in J 8.575 * [backup-simplify]: Simplify 0 into 0 8.575 * [backup-simplify]: Simplify 1 into 1 8.575 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.575 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 8.575 * [backup-simplify]: Simplify (* 1 1) into 1 8.576 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 8.576 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 8.576 * [taylor]: Taking taylor expansion of 1 in J 8.576 * [backup-simplify]: Simplify 1 into 1 8.576 * [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))) 8.576 * [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))) 8.576 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 8.577 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 8.577 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.578 * [backup-simplify]: Simplify (+ 0) into 0 8.578 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.579 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 8.579 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.580 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 8.580 * [backup-simplify]: Simplify (- 0) into 0 8.581 * [backup-simplify]: Simplify (+ 0 0) into 0 8.581 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 8.581 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 8.582 * [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 8.582 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 8.583 * [backup-simplify]: Simplify (+ 0 0) into 0 8.583 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 8.583 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 8.583 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 8.583 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 8.583 * [taylor]: Taking taylor expansion of 1/4 in U 8.583 * [backup-simplify]: Simplify 1/4 into 1/4 8.583 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 8.583 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.583 * [taylor]: Taking taylor expansion of U in U 8.583 * [backup-simplify]: Simplify 0 into 0 8.583 * [backup-simplify]: Simplify 1 into 1 8.583 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 8.583 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 8.583 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 8.583 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 8.583 * [taylor]: Taking taylor expansion of 1/2 in U 8.583 * [backup-simplify]: Simplify 1/2 into 1/2 8.583 * [taylor]: Taking taylor expansion of K in U 8.583 * [backup-simplify]: Simplify K into K 8.584 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.584 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.584 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.584 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.584 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.584 * [backup-simplify]: Simplify (- 0) into 0 8.584 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.584 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.584 * [taylor]: Taking taylor expansion of J in U 8.584 * [backup-simplify]: Simplify J into J 8.585 * [backup-simplify]: Simplify (* 1 1) into 1 8.585 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 8.585 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.585 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 8.585 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 8.585 * [taylor]: Taking taylor expansion of 1 in U 8.585 * [backup-simplify]: Simplify 1 into 1 8.586 * [backup-simplify]: Simplify (+ 0 1) into 1 8.586 * [backup-simplify]: Simplify (sqrt 1) into 1 8.586 * [backup-simplify]: Simplify (+ 0 0) into 0 8.587 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.587 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 8.587 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 8.587 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 8.587 * [taylor]: Taking taylor expansion of 1/4 in U 8.587 * [backup-simplify]: Simplify 1/4 into 1/4 8.587 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 8.587 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.587 * [taylor]: Taking taylor expansion of U in U 8.587 * [backup-simplify]: Simplify 0 into 0 8.587 * [backup-simplify]: Simplify 1 into 1 8.588 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 8.588 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 8.588 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 8.588 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 8.588 * [taylor]: Taking taylor expansion of 1/2 in U 8.588 * [backup-simplify]: Simplify 1/2 into 1/2 8.588 * [taylor]: Taking taylor expansion of K in U 8.588 * [backup-simplify]: Simplify K into K 8.588 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.588 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.588 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.588 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.588 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.588 * [backup-simplify]: Simplify (- 0) into 0 8.588 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.589 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.589 * [taylor]: Taking taylor expansion of J in U 8.589 * [backup-simplify]: Simplify J into J 8.589 * [backup-simplify]: Simplify (* 1 1) into 1 8.589 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 8.589 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.589 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 8.589 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 8.590 * [taylor]: Taking taylor expansion of 1 in U 8.590 * [backup-simplify]: Simplify 1 into 1 8.590 * [backup-simplify]: Simplify (+ 0 1) into 1 8.590 * [backup-simplify]: Simplify (sqrt 1) into 1 8.591 * [backup-simplify]: Simplify (+ 0 0) into 0 8.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.592 * [taylor]: Taking taylor expansion of 1 in J 8.592 * [backup-simplify]: Simplify 1 into 1 8.592 * [taylor]: Taking taylor expansion of 0 in J 8.592 * [backup-simplify]: Simplify 0 into 0 8.592 * [taylor]: Taking taylor expansion of 1 in K 8.592 * [backup-simplify]: Simplify 1 into 1 8.592 * [backup-simplify]: Simplify 1 into 1 8.592 * [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))) 8.592 * [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)))) 8.594 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 8.594 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 8.594 * [taylor]: Taking taylor expansion of 1/8 in J 8.594 * [backup-simplify]: Simplify 1/8 into 1/8 8.594 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 8.594 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 8.594 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 8.594 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 8.594 * [taylor]: Taking taylor expansion of 1/2 in J 8.594 * [backup-simplify]: Simplify 1/2 into 1/2 8.594 * [taylor]: Taking taylor expansion of K in J 8.594 * [backup-simplify]: Simplify K into K 8.594 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.594 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.594 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.594 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.594 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.595 * [backup-simplify]: Simplify (- 0) into 0 8.595 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.595 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.595 * [taylor]: Taking taylor expansion of J in J 8.595 * [backup-simplify]: Simplify 0 into 0 8.595 * [backup-simplify]: Simplify 1 into 1 8.595 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 8.595 * [backup-simplify]: Simplify (* 1 1) into 1 8.595 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 8.596 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 8.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.597 * [backup-simplify]: Simplify (+ 0) into 0 8.597 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.597 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 8.598 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.599 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 8.599 * [backup-simplify]: Simplify (- 0) into 0 8.600 * [backup-simplify]: Simplify (+ 0 0) into 0 8.600 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 8.600 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 8.600 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 8.600 * [taylor]: Taking taylor expansion of 0 in K 8.600 * [backup-simplify]: Simplify 0 into 0 8.600 * [backup-simplify]: Simplify 0 into 0 8.600 * [taylor]: Taking taylor expansion of 0 in K 8.600 * [backup-simplify]: Simplify 0 into 0 8.600 * [backup-simplify]: Simplify 0 into 0 8.600 * [taylor]: Taking taylor expansion of 0 in K 8.600 * [backup-simplify]: Simplify 0 into 0 8.600 * [backup-simplify]: Simplify 0 into 0 8.600 * [backup-simplify]: Simplify 0 into 0 8.601 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.601 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.601 * [backup-simplify]: Simplify (+ 0) into 0 8.601 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.602 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 8.602 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.603 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 8.603 * [backup-simplify]: Simplify (- 0) into 0 8.603 * [backup-simplify]: Simplify (+ 0 0) into 0 8.603 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 8.603 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 8.603 * [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 8.604 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 8.604 * [backup-simplify]: Simplify (+ 0 0) into 0 8.605 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 8.605 * [taylor]: Taking taylor expansion of 0 in J 8.605 * [backup-simplify]: Simplify 0 into 0 8.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.606 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.606 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.607 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 8.607 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.607 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.608 * [backup-simplify]: Simplify (- 0) into 0 8.608 * [backup-simplify]: Simplify (+ 0 0) into 0 8.608 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 8.609 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 8.609 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 8.609 * [taylor]: Taking taylor expansion of 0 in K 8.609 * [backup-simplify]: Simplify 0 into 0 8.609 * [backup-simplify]: Simplify 0 into 0 8.609 * [taylor]: Taking taylor expansion of 0 in K 8.609 * [backup-simplify]: Simplify 0 into 0 8.609 * [backup-simplify]: Simplify 0 into 0 8.609 * [backup-simplify]: Simplify 1 into 1 8.609 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (+ (/ 1 J) (/ 1 J)) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (+ (/ 1 J) (/ 1 J)) (cos (/ (/ 1 K) 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 8.609 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0 8.609 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 8.609 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 8.609 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 8.609 * [taylor]: Taking taylor expansion of 1/4 in K 8.609 * [backup-simplify]: Simplify 1/4 into 1/4 8.610 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 8.610 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.610 * [taylor]: Taking taylor expansion of J in K 8.610 * [backup-simplify]: Simplify J into J 8.610 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 8.610 * [taylor]: Taking taylor expansion of (pow U 2) in K 8.610 * [taylor]: Taking taylor expansion of U in K 8.610 * [backup-simplify]: Simplify U into U 8.610 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 8.610 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.610 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.610 * [taylor]: Taking taylor expansion of 1/2 in K 8.610 * [backup-simplify]: Simplify 1/2 into 1/2 8.610 * [taylor]: Taking taylor expansion of K in K 8.610 * [backup-simplify]: Simplify 0 into 0 8.610 * [backup-simplify]: Simplify 1 into 1 8.610 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.610 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.610 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.610 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.610 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.610 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 8.610 * [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))) 8.610 * [taylor]: Taking taylor expansion of 1 in K 8.610 * [backup-simplify]: Simplify 1 into 1 8.611 * [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)))) 8.611 * [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) 8.611 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 8.611 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.611 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 8.611 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 8.611 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 8.612 * [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 8.612 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 8.612 * [backup-simplify]: Simplify (+ 0 0) into 0 8.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 8.613 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 8.613 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 8.613 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 8.613 * [taylor]: Taking taylor expansion of 1/4 in J 8.613 * [backup-simplify]: Simplify 1/4 into 1/4 8.613 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 8.613 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.613 * [taylor]: Taking taylor expansion of J in J 8.613 * [backup-simplify]: Simplify 0 into 0 8.613 * [backup-simplify]: Simplify 1 into 1 8.613 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 8.613 * [taylor]: Taking taylor expansion of (pow U 2) in J 8.613 * [taylor]: Taking taylor expansion of U in J 8.613 * [backup-simplify]: Simplify U into U 8.613 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 8.613 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.613 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.613 * [taylor]: Taking taylor expansion of 1/2 in J 8.613 * [backup-simplify]: Simplify 1/2 into 1/2 8.613 * [taylor]: Taking taylor expansion of K in J 8.613 * [backup-simplify]: Simplify K into K 8.613 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.613 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.613 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.613 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.613 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.613 * [backup-simplify]: Simplify (- 0) into 0 8.613 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.614 * [backup-simplify]: Simplify (* 1 1) into 1 8.614 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.614 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.614 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 8.614 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 8.614 * [taylor]: Taking taylor expansion of 1 in J 8.614 * [backup-simplify]: Simplify 1 into 1 8.614 * [backup-simplify]: Simplify (+ 0 1) into 1 8.615 * [backup-simplify]: Simplify (sqrt 1) into 1 8.615 * [backup-simplify]: Simplify (+ 0 0) into 0 8.615 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.615 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 8.615 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 8.615 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 8.615 * [taylor]: Taking taylor expansion of 1/4 in U 8.615 * [backup-simplify]: Simplify 1/4 into 1/4 8.615 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 8.615 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.615 * [taylor]: Taking taylor expansion of J in U 8.615 * [backup-simplify]: Simplify J into J 8.615 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 8.615 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.615 * [taylor]: Taking taylor expansion of U in U 8.615 * [backup-simplify]: Simplify 0 into 0 8.615 * [backup-simplify]: Simplify 1 into 1 8.615 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 8.615 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.616 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.616 * [taylor]: Taking taylor expansion of 1/2 in U 8.616 * [backup-simplify]: Simplify 1/2 into 1/2 8.616 * [taylor]: Taking taylor expansion of K in U 8.616 * [backup-simplify]: Simplify K into K 8.616 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.616 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.616 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.616 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.616 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.616 * [backup-simplify]: Simplify (- 0) into 0 8.616 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.616 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.616 * [backup-simplify]: Simplify (* 1 1) into 1 8.616 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.617 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 8.617 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 8.617 * [taylor]: Taking taylor expansion of 1 in U 8.617 * [backup-simplify]: Simplify 1 into 1 8.617 * [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))) 8.617 * [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))) 8.617 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 8.617 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.617 * [backup-simplify]: Simplify (+ 0) into 0 8.618 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.618 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.618 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.619 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.619 * [backup-simplify]: Simplify (- 0) into 0 8.619 * [backup-simplify]: Simplify (+ 0 0) into 0 8.619 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 8.619 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.620 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 8.620 * [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))))) into 0 8.620 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 8.621 * [backup-simplify]: Simplify (+ 0 0) into 0 8.621 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 8.621 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 8.621 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 8.621 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 8.621 * [taylor]: Taking taylor expansion of 1/4 in U 8.621 * [backup-simplify]: Simplify 1/4 into 1/4 8.621 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 8.621 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.621 * [taylor]: Taking taylor expansion of J in U 8.621 * [backup-simplify]: Simplify J into J 8.621 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 8.621 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.621 * [taylor]: Taking taylor expansion of U in U 8.621 * [backup-simplify]: Simplify 0 into 0 8.621 * [backup-simplify]: Simplify 1 into 1 8.621 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 8.621 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.621 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.621 * [taylor]: Taking taylor expansion of 1/2 in U 8.621 * [backup-simplify]: Simplify 1/2 into 1/2 8.621 * [taylor]: Taking taylor expansion of K in U 8.621 * [backup-simplify]: Simplify K into K 8.621 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.621 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.621 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.621 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.621 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.622 * [backup-simplify]: Simplify (- 0) into 0 8.622 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.622 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.622 * [backup-simplify]: Simplify (* 1 1) into 1 8.622 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.622 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 8.622 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 8.622 * [taylor]: Taking taylor expansion of 1 in U 8.622 * [backup-simplify]: Simplify 1 into 1 8.622 * [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))) 8.623 * [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))) 8.623 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 8.623 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.623 * [backup-simplify]: Simplify (+ 0) into 0 8.623 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.623 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.624 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.624 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.624 * [backup-simplify]: Simplify (- 0) into 0 8.625 * [backup-simplify]: Simplify (+ 0 0) into 0 8.625 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 8.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 8.626 * [backup-simplify]: 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 8.626 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 8.626 * [backup-simplify]: Simplify (+ 0 0) into 0 8.626 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 8.626 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 8.626 * [taylor]: Taking taylor expansion of 1/2 in J 8.626 * [backup-simplify]: Simplify 1/2 into 1/2 8.626 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 8.626 * [taylor]: Taking taylor expansion of J in J 8.627 * [backup-simplify]: Simplify 0 into 0 8.627 * [backup-simplify]: Simplify 1 into 1 8.627 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.627 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.627 * [taylor]: Taking taylor expansion of 1/2 in J 8.627 * [backup-simplify]: Simplify 1/2 into 1/2 8.627 * [taylor]: Taking taylor expansion of K in J 8.627 * [backup-simplify]: Simplify K into K 8.627 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.627 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.627 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.627 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.627 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.627 * [backup-simplify]: Simplify (- 0) into 0 8.627 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.627 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 8.627 * [taylor]: Taking taylor expansion of 0 in J 8.627 * [backup-simplify]: Simplify 0 into 0 8.627 * [taylor]: Taking taylor expansion of 0 in K 8.627 * [backup-simplify]: Simplify 0 into 0 8.627 * [backup-simplify]: Simplify 0 into 0 8.627 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 8.627 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 8.627 * [taylor]: Taking taylor expansion of 1/2 in K 8.627 * [backup-simplify]: Simplify 1/2 into 1/2 8.627 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.627 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.627 * [taylor]: Taking taylor expansion of 1/2 in K 8.627 * [backup-simplify]: Simplify 1/2 into 1/2 8.628 * [taylor]: Taking taylor expansion of K in K 8.628 * [backup-simplify]: Simplify 0 into 0 8.628 * [backup-simplify]: Simplify 1 into 1 8.628 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.628 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.628 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 8.628 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 8.628 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 8.629 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.629 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.629 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.630 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.630 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.630 * [backup-simplify]: Simplify (- 0) into 0 8.631 * [backup-simplify]: Simplify (+ 0 0) into 0 8.631 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 8.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 8.632 * [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))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 8.633 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 8.633 * [backup-simplify]: Simplify (+ 0 1) into 1 8.635 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 8.635 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 8.635 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.635 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.635 * [taylor]: Taking taylor expansion of 1/2 in J 8.635 * [backup-simplify]: Simplify 1/2 into 1/2 8.635 * [taylor]: Taking taylor expansion of K in J 8.635 * [backup-simplify]: Simplify K into K 8.636 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.636 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.636 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.636 * [taylor]: Taking taylor expansion of J in J 8.636 * [backup-simplify]: Simplify 0 into 0 8.636 * [backup-simplify]: Simplify 1 into 1 8.636 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.636 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.636 * [backup-simplify]: Simplify (- 0) into 0 8.636 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.636 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.636 * [backup-simplify]: Simplify (+ 0) into 0 8.637 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.637 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.637 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.638 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.638 * [backup-simplify]: Simplify (- 0) into 0 8.638 * [backup-simplify]: Simplify (+ 0 0) into 0 8.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 8.639 * [taylor]: Taking taylor expansion of 0 in K 8.639 * [backup-simplify]: Simplify 0 into 0 8.639 * [backup-simplify]: Simplify 0 into 0 8.639 * [taylor]: Taking taylor expansion of 0 in K 8.639 * [backup-simplify]: Simplify 0 into 0 8.639 * [backup-simplify]: Simplify 0 into 0 8.639 * [backup-simplify]: Simplify (+ 0) into 0 8.639 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.639 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.640 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.640 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.640 * [backup-simplify]: Simplify (- 0) into 0 8.641 * [backup-simplify]: Simplify (+ 0 0) into 0 8.641 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 8.641 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 8.641 * [taylor]: Taking taylor expansion of 0 in K 8.641 * [backup-simplify]: Simplify 0 into 0 8.641 * [backup-simplify]: Simplify 0 into 0 8.641 * [backup-simplify]: Simplify 0 into 0 8.641 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 8.641 * [backup-simplify]: Simplify 0 into 0 8.642 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 8.642 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.643 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.643 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.645 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.645 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.646 * [backup-simplify]: Simplify (- 0) into 0 8.646 * [backup-simplify]: Simplify (+ 0 0) into 0 8.647 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 8.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 8.650 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 8.651 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 8.652 * [backup-simplify]: Simplify (+ 0 0) into 0 8.652 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 8.652 * [taylor]: Taking taylor expansion of 0 in J 8.652 * [backup-simplify]: Simplify 0 into 0 8.652 * [taylor]: Taking taylor expansion of 0 in K 8.652 * [backup-simplify]: Simplify 0 into 0 8.652 * [backup-simplify]: Simplify 0 into 0 8.652 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 8.653 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (+ (/ 1 (- J)) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (+ (/ 1 (- J)) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 8.653 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0 8.653 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 8.653 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 8.653 * [taylor]: Taking taylor expansion of 1 in K 8.653 * [backup-simplify]: Simplify 1 into 1 8.653 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 8.653 * [taylor]: Taking taylor expansion of 1/4 in K 8.653 * [backup-simplify]: Simplify 1/4 into 1/4 8.653 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 8.653 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.653 * [taylor]: Taking taylor expansion of J in K 8.653 * [backup-simplify]: Simplify J into J 8.653 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 8.653 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 8.653 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.653 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.653 * [taylor]: Taking taylor expansion of -1/2 in K 8.653 * [backup-simplify]: Simplify -1/2 into -1/2 8.654 * [taylor]: Taking taylor expansion of K in K 8.654 * [backup-simplify]: Simplify 0 into 0 8.654 * [backup-simplify]: Simplify 1 into 1 8.654 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.654 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.654 * [taylor]: Taking taylor expansion of (pow U 2) in K 8.654 * [taylor]: Taking taylor expansion of U in K 8.654 * [backup-simplify]: Simplify U into U 8.654 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.654 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.654 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.655 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 8.655 * [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))) 8.655 * [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)))) 8.655 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 8.656 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 8.656 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.656 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 8.656 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 8.656 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 8.657 * [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 8.658 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 8.658 * [backup-simplify]: Simplify (+ 0 0) into 0 8.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 8.658 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 8.659 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 8.659 * [taylor]: Taking taylor expansion of 1 in J 8.659 * [backup-simplify]: Simplify 1 into 1 8.659 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 8.659 * [taylor]: Taking taylor expansion of 1/4 in J 8.659 * [backup-simplify]: Simplify 1/4 into 1/4 8.659 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 8.659 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.659 * [taylor]: Taking taylor expansion of J in J 8.659 * [backup-simplify]: Simplify 0 into 0 8.659 * [backup-simplify]: Simplify 1 into 1 8.659 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 8.659 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 8.659 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.659 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.659 * [taylor]: Taking taylor expansion of -1/2 in J 8.659 * [backup-simplify]: Simplify -1/2 into -1/2 8.659 * [taylor]: Taking taylor expansion of K in J 8.659 * [backup-simplify]: Simplify K into K 8.659 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.659 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.659 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.659 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.659 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.660 * [backup-simplify]: Simplify (- 0) into 0 8.660 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.660 * [taylor]: Taking taylor expansion of (pow U 2) in J 8.660 * [taylor]: Taking taylor expansion of U in J 8.660 * [backup-simplify]: Simplify U into U 8.660 * [backup-simplify]: Simplify (* 1 1) into 1 8.660 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.661 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.661 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 8.661 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 8.661 * [backup-simplify]: Simplify (+ 1 0) into 1 8.662 * [backup-simplify]: Simplify (sqrt 1) into 1 8.662 * [backup-simplify]: Simplify (+ 0 0) into 0 8.663 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.663 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 8.663 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 8.663 * [taylor]: Taking taylor expansion of 1 in U 8.663 * [backup-simplify]: Simplify 1 into 1 8.663 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 8.663 * [taylor]: Taking taylor expansion of 1/4 in U 8.663 * [backup-simplify]: Simplify 1/4 into 1/4 8.663 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 8.663 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.663 * [taylor]: Taking taylor expansion of J in U 8.663 * [backup-simplify]: Simplify J into J 8.663 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 8.663 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 8.663 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.663 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.663 * [taylor]: Taking taylor expansion of -1/2 in U 8.663 * [backup-simplify]: Simplify -1/2 into -1/2 8.663 * [taylor]: Taking taylor expansion of K in U 8.663 * [backup-simplify]: Simplify K into K 8.663 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.663 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.663 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.664 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.664 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.664 * [backup-simplify]: Simplify (- 0) into 0 8.664 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.664 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.664 * [taylor]: Taking taylor expansion of U in U 8.664 * [backup-simplify]: Simplify 0 into 0 8.664 * [backup-simplify]: Simplify 1 into 1 8.664 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.664 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.665 * [backup-simplify]: Simplify (* 1 1) into 1 8.665 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 8.665 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 8.665 * [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))) 8.666 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 8.666 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 8.666 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.667 * [backup-simplify]: Simplify (+ 0) into 0 8.667 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.668 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.668 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.669 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.669 * [backup-simplify]: Simplify (- 0) into 0 8.669 * [backup-simplify]: Simplify (+ 0 0) into 0 8.670 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 8.670 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 8.671 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 8.671 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 8.671 * [backup-simplify]: Simplify (+ 0 0) into 0 8.672 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 8.672 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 8.672 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 8.672 * [taylor]: Taking taylor expansion of 1 in U 8.672 * [backup-simplify]: Simplify 1 into 1 8.672 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 8.672 * [taylor]: Taking taylor expansion of 1/4 in U 8.672 * [backup-simplify]: Simplify 1/4 into 1/4 8.672 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 8.672 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.672 * [taylor]: Taking taylor expansion of J in U 8.672 * [backup-simplify]: Simplify J into J 8.672 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 8.672 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 8.672 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.672 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.672 * [taylor]: Taking taylor expansion of -1/2 in U 8.672 * [backup-simplify]: Simplify -1/2 into -1/2 8.672 * [taylor]: Taking taylor expansion of K in U 8.672 * [backup-simplify]: Simplify K into K 8.672 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.672 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.672 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.673 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.673 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.673 * [backup-simplify]: Simplify (- 0) into 0 8.673 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.673 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.673 * [taylor]: Taking taylor expansion of U in U 8.673 * [backup-simplify]: Simplify 0 into 0 8.673 * [backup-simplify]: Simplify 1 into 1 8.673 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.673 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.674 * [backup-simplify]: Simplify (* 1 1) into 1 8.674 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 8.674 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 8.674 * [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))) 8.675 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 8.675 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 8.675 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.676 * [backup-simplify]: Simplify (+ 0) into 0 8.676 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.676 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.677 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.678 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.678 * [backup-simplify]: Simplify (- 0) into 0 8.678 * [backup-simplify]: Simplify (+ 0 0) into 0 8.678 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 8.679 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 8.679 * [backup-simplify]: 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 8.680 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 8.680 * [backup-simplify]: Simplify (+ 0 0) into 0 8.681 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 8.681 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 8.681 * [taylor]: Taking taylor expansion of 1/2 in J 8.681 * [backup-simplify]: Simplify 1/2 into 1/2 8.681 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 8.681 * [taylor]: Taking taylor expansion of J in J 8.681 * [backup-simplify]: Simplify 0 into 0 8.681 * [backup-simplify]: Simplify 1 into 1 8.681 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.681 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.681 * [taylor]: Taking taylor expansion of -1/2 in J 8.681 * [backup-simplify]: Simplify -1/2 into -1/2 8.681 * [taylor]: Taking taylor expansion of K in J 8.681 * [backup-simplify]: Simplify K into K 8.681 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.681 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.681 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.681 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.681 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.682 * [backup-simplify]: Simplify (- 0) into 0 8.682 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.682 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 8.682 * [taylor]: Taking taylor expansion of 0 in J 8.682 * [backup-simplify]: Simplify 0 into 0 8.682 * [taylor]: Taking taylor expansion of 0 in K 8.682 * [backup-simplify]: Simplify 0 into 0 8.682 * [backup-simplify]: Simplify 0 into 0 8.682 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 8.682 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 8.682 * [taylor]: Taking taylor expansion of 1/2 in K 8.682 * [backup-simplify]: Simplify 1/2 into 1/2 8.682 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.682 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.682 * [taylor]: Taking taylor expansion of -1/2 in K 8.682 * [backup-simplify]: Simplify -1/2 into -1/2 8.682 * [taylor]: Taking taylor expansion of K in K 8.682 * [backup-simplify]: Simplify 0 into 0 8.682 * [backup-simplify]: Simplify 1 into 1 8.683 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.683 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.683 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 8.683 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 8.684 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 8.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.685 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.686 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.686 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.687 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.687 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.688 * [backup-simplify]: Simplify (- 0) into 0 8.688 * [backup-simplify]: Simplify (+ 0 0) into 0 8.689 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 8.689 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 8.690 * [backup-simplify]: 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 8.691 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 8.691 * [backup-simplify]: Simplify (+ 1 0) into 1 8.692 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 8.692 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 8.692 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.692 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.692 * [taylor]: Taking taylor expansion of -1/2 in J 8.692 * [backup-simplify]: Simplify -1/2 into -1/2 8.692 * [taylor]: Taking taylor expansion of K in J 8.692 * [backup-simplify]: Simplify K into K 8.692 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.692 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.692 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.692 * [taylor]: Taking taylor expansion of J in J 8.692 * [backup-simplify]: Simplify 0 into 0 8.692 * [backup-simplify]: Simplify 1 into 1 8.692 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.692 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.692 * [backup-simplify]: Simplify (- 0) into 0 8.693 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.693 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.693 * [backup-simplify]: Simplify (+ 0) into 0 8.693 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.693 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.694 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.694 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.694 * [backup-simplify]: Simplify (- 0) into 0 8.695 * [backup-simplify]: Simplify (+ 0 0) into 0 8.695 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 8.695 * [taylor]: Taking taylor expansion of 0 in K 8.695 * [backup-simplify]: Simplify 0 into 0 8.695 * [backup-simplify]: Simplify 0 into 0 8.695 * [taylor]: Taking taylor expansion of 0 in K 8.695 * [backup-simplify]: Simplify 0 into 0 8.695 * [backup-simplify]: Simplify 0 into 0 8.695 * [backup-simplify]: Simplify (+ 0) into 0 8.696 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.696 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.696 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.697 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.697 * [backup-simplify]: Simplify (- 0) into 0 8.697 * [backup-simplify]: Simplify (+ 0 0) into 0 8.697 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 8.698 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 8.698 * [taylor]: Taking taylor expansion of 0 in K 8.698 * [backup-simplify]: Simplify 0 into 0 8.698 * [backup-simplify]: Simplify 0 into 0 8.698 * [backup-simplify]: Simplify 0 into 0 8.698 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 8.698 * [backup-simplify]: Simplify 0 into 0 8.698 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 8.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.700 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.700 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.700 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.701 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.702 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.702 * [backup-simplify]: Simplify (- 0) into 0 8.702 * [backup-simplify]: Simplify (+ 0 0) into 0 8.703 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 8.703 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.704 * [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))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 8.705 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 8.706 * [backup-simplify]: Simplify (+ 0 0) into 0 8.706 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 8.706 * [taylor]: Taking taylor expansion of 0 in J 8.706 * [backup-simplify]: Simplify 0 into 0 8.706 * [taylor]: Taking taylor expansion of 0 in K 8.706 * [backup-simplify]: Simplify 0 into 0 8.706 * [backup-simplify]: Simplify 0 into 0 8.706 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 8.706 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1) 8.707 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 8.707 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0 8.707 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 8.707 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 8.707 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 8.707 * [taylor]: Taking taylor expansion of 1/4 in K 8.707 * [backup-simplify]: Simplify 1/4 into 1/4 8.707 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 8.707 * [taylor]: Taking taylor expansion of (pow U 2) in K 8.707 * [taylor]: Taking taylor expansion of U in K 8.707 * [backup-simplify]: Simplify U into U 8.707 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 8.707 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 8.707 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 8.707 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 8.707 * [taylor]: Taking taylor expansion of 1/2 in K 8.707 * [backup-simplify]: Simplify 1/2 into 1/2 8.707 * [taylor]: Taking taylor expansion of K in K 8.708 * [backup-simplify]: Simplify 0 into 0 8.708 * [backup-simplify]: Simplify 1 into 1 8.708 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.709 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.709 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.709 * [taylor]: Taking taylor expansion of J in K 8.709 * [backup-simplify]: Simplify J into J 8.709 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.710 * [backup-simplify]: Simplify (* 1 1) into 1 8.710 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.710 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 8.710 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 8.710 * [taylor]: Taking taylor expansion of 1 in K 8.710 * [backup-simplify]: Simplify 1 into 1 8.710 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 8.710 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 8.711 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 8.711 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 8.711 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.711 * [backup-simplify]: Simplify (+ 0) into 0 8.712 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.712 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 8.713 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 8.713 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 8.714 * [backup-simplify]: Simplify (+ 0 0) into 0 8.714 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 8.714 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 8.714 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 8.714 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 8.714 * [taylor]: Taking taylor expansion of 1/4 in J 8.714 * [backup-simplify]: Simplify 1/4 into 1/4 8.714 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 8.714 * [taylor]: Taking taylor expansion of (pow U 2) in J 8.714 * [taylor]: Taking taylor expansion of U in J 8.714 * [backup-simplify]: Simplify U into U 8.714 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 8.714 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 8.714 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 8.714 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 8.714 * [taylor]: Taking taylor expansion of 1/2 in J 8.714 * [backup-simplify]: Simplify 1/2 into 1/2 8.714 * [taylor]: Taking taylor expansion of K in J 8.714 * [backup-simplify]: Simplify K into K 8.714 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.714 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.715 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.715 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.715 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.716 * [backup-simplify]: Simplify (- 0) into 0 8.716 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.716 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.716 * [taylor]: Taking taylor expansion of J in J 8.716 * [backup-simplify]: Simplify 0 into 0 8.716 * [backup-simplify]: Simplify 1 into 1 8.716 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.716 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 8.717 * [backup-simplify]: Simplify (* 1 1) into 1 8.717 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 8.717 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 8.717 * [taylor]: Taking taylor expansion of 1 in J 8.717 * [backup-simplify]: Simplify 1 into 1 8.718 * [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))) 8.718 * [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))) 8.718 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 8.718 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 8.719 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.720 * [backup-simplify]: Simplify (+ 0) into 0 8.720 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.721 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 8.721 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.722 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 8.722 * [backup-simplify]: Simplify (- 0) into 0 8.723 * [backup-simplify]: Simplify (+ 0 0) into 0 8.723 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 8.723 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 8.724 * [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 8.724 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 8.725 * [backup-simplify]: Simplify (+ 0 0) into 0 8.725 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 8.725 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 8.725 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 8.725 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 8.725 * [taylor]: Taking taylor expansion of 1/4 in U 8.725 * [backup-simplify]: Simplify 1/4 into 1/4 8.725 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 8.725 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.725 * [taylor]: Taking taylor expansion of U in U 8.725 * [backup-simplify]: Simplify 0 into 0 8.725 * [backup-simplify]: Simplify 1 into 1 8.725 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 8.725 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 8.725 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 8.725 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 8.725 * [taylor]: Taking taylor expansion of 1/2 in U 8.725 * [backup-simplify]: Simplify 1/2 into 1/2 8.725 * [taylor]: Taking taylor expansion of K in U 8.725 * [backup-simplify]: Simplify K into K 8.725 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.726 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.726 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.726 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.726 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.726 * [backup-simplify]: Simplify (- 0) into 0 8.726 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.726 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.726 * [taylor]: Taking taylor expansion of J in U 8.726 * [backup-simplify]: Simplify J into J 8.727 * [backup-simplify]: Simplify (* 1 1) into 1 8.727 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 8.727 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.727 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 8.727 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 8.727 * [taylor]: Taking taylor expansion of 1 in U 8.727 * [backup-simplify]: Simplify 1 into 1 8.728 * [backup-simplify]: Simplify (+ 0 1) into 1 8.728 * [backup-simplify]: Simplify (sqrt 1) into 1 8.728 * [backup-simplify]: Simplify (+ 0 0) into 0 8.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.729 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 8.729 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 8.729 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 8.729 * [taylor]: Taking taylor expansion of 1/4 in U 8.729 * [backup-simplify]: Simplify 1/4 into 1/4 8.729 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 8.729 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.729 * [taylor]: Taking taylor expansion of U in U 8.729 * [backup-simplify]: Simplify 0 into 0 8.729 * [backup-simplify]: Simplify 1 into 1 8.729 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 8.730 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 8.730 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 8.730 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 8.730 * [taylor]: Taking taylor expansion of 1/2 in U 8.730 * [backup-simplify]: Simplify 1/2 into 1/2 8.730 * [taylor]: Taking taylor expansion of K in U 8.730 * [backup-simplify]: Simplify K into K 8.730 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.730 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.730 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.730 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.730 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.730 * [backup-simplify]: Simplify (- 0) into 0 8.730 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.731 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.731 * [taylor]: Taking taylor expansion of J in U 8.731 * [backup-simplify]: Simplify J into J 8.731 * [backup-simplify]: Simplify (* 1 1) into 1 8.731 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 8.731 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.731 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 8.731 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 8.731 * [taylor]: Taking taylor expansion of 1 in U 8.731 * [backup-simplify]: Simplify 1 into 1 8.732 * [backup-simplify]: Simplify (+ 0 1) into 1 8.732 * [backup-simplify]: Simplify (sqrt 1) into 1 8.732 * [backup-simplify]: Simplify (+ 0 0) into 0 8.733 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.733 * [taylor]: Taking taylor expansion of 1 in J 8.733 * [backup-simplify]: Simplify 1 into 1 8.733 * [taylor]: Taking taylor expansion of 0 in J 8.733 * [backup-simplify]: Simplify 0 into 0 8.733 * [taylor]: Taking taylor expansion of 1 in K 8.733 * [backup-simplify]: Simplify 1 into 1 8.733 * [backup-simplify]: Simplify 1 into 1 8.733 * [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))) 8.733 * [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)))) 8.734 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 8.734 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 8.734 * [taylor]: Taking taylor expansion of 1/8 in J 8.734 * [backup-simplify]: Simplify 1/8 into 1/8 8.734 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 8.734 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 8.734 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 8.734 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 8.734 * [taylor]: Taking taylor expansion of 1/2 in J 8.734 * [backup-simplify]: Simplify 1/2 into 1/2 8.734 * [taylor]: Taking taylor expansion of K in J 8.734 * [backup-simplify]: Simplify K into K 8.734 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.734 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.734 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.734 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.734 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.735 * [backup-simplify]: Simplify (- 0) into 0 8.735 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.735 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.735 * [taylor]: Taking taylor expansion of J in J 8.735 * [backup-simplify]: Simplify 0 into 0 8.735 * [backup-simplify]: Simplify 1 into 1 8.735 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 8.735 * [backup-simplify]: Simplify (* 1 1) into 1 8.735 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 8.735 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 8.736 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.736 * [backup-simplify]: Simplify (+ 0) into 0 8.736 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.736 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 8.737 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.737 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 8.737 * [backup-simplify]: Simplify (- 0) into 0 8.738 * [backup-simplify]: Simplify (+ 0 0) into 0 8.738 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 8.738 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 8.738 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 8.738 * [taylor]: Taking taylor expansion of 0 in K 8.738 * [backup-simplify]: Simplify 0 into 0 8.738 * [backup-simplify]: Simplify 0 into 0 8.738 * [taylor]: Taking taylor expansion of 0 in K 8.738 * [backup-simplify]: Simplify 0 into 0 8.738 * [backup-simplify]: Simplify 0 into 0 8.738 * [taylor]: Taking taylor expansion of 0 in K 8.738 * [backup-simplify]: Simplify 0 into 0 8.738 * [backup-simplify]: Simplify 0 into 0 8.738 * [backup-simplify]: Simplify 0 into 0 8.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.739 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.739 * [backup-simplify]: Simplify (+ 0) into 0 8.739 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.740 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 8.740 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.740 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 8.741 * [backup-simplify]: Simplify (- 0) into 0 8.741 * [backup-simplify]: Simplify (+ 0 0) into 0 8.741 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 8.741 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 8.741 * [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 8.742 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 8.742 * [backup-simplify]: Simplify (+ 0 0) into 0 8.743 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 8.743 * [taylor]: Taking taylor expansion of 0 in J 8.743 * [backup-simplify]: Simplify 0 into 0 8.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.744 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.744 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.745 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 8.745 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.745 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.746 * [backup-simplify]: Simplify (- 0) into 0 8.746 * [backup-simplify]: Simplify (+ 0 0) into 0 8.746 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 8.747 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 8.747 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 8.747 * [taylor]: Taking taylor expansion of 0 in K 8.747 * [backup-simplify]: Simplify 0 into 0 8.747 * [backup-simplify]: Simplify 0 into 0 8.747 * [taylor]: Taking taylor expansion of 0 in K 8.747 * [backup-simplify]: Simplify 0 into 0 8.747 * [backup-simplify]: Simplify 0 into 0 8.747 * [backup-simplify]: Simplify 1 into 1 8.747 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (+ (/ 1 J) (/ 1 J)) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (+ (/ 1 J) (/ 1 J)) (cos (/ (/ 1 K) 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 8.747 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0 8.747 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 8.747 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 8.747 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 8.747 * [taylor]: Taking taylor expansion of 1/4 in K 8.747 * [backup-simplify]: Simplify 1/4 into 1/4 8.747 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 8.747 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.748 * [taylor]: Taking taylor expansion of J in K 8.748 * [backup-simplify]: Simplify J into J 8.748 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 8.748 * [taylor]: Taking taylor expansion of (pow U 2) in K 8.748 * [taylor]: Taking taylor expansion of U in K 8.748 * [backup-simplify]: Simplify U into U 8.748 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 8.748 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.748 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.748 * [taylor]: Taking taylor expansion of 1/2 in K 8.748 * [backup-simplify]: Simplify 1/2 into 1/2 8.748 * [taylor]: Taking taylor expansion of K in K 8.748 * [backup-simplify]: Simplify 0 into 0 8.748 * [backup-simplify]: Simplify 1 into 1 8.748 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.748 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.748 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.748 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.748 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.748 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 8.748 * [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))) 8.748 * [taylor]: Taking taylor expansion of 1 in K 8.748 * [backup-simplify]: Simplify 1 into 1 8.749 * [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)))) 8.749 * [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) 8.749 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 8.749 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.749 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 8.749 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 8.749 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 8.750 * [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 8.750 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 8.750 * [backup-simplify]: Simplify (+ 0 0) into 0 8.751 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 8.751 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 8.751 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 8.751 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 8.751 * [taylor]: Taking taylor expansion of 1/4 in J 8.751 * [backup-simplify]: Simplify 1/4 into 1/4 8.751 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 8.751 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.751 * [taylor]: Taking taylor expansion of J in J 8.751 * [backup-simplify]: Simplify 0 into 0 8.751 * [backup-simplify]: Simplify 1 into 1 8.751 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 8.751 * [taylor]: Taking taylor expansion of (pow U 2) in J 8.751 * [taylor]: Taking taylor expansion of U in J 8.751 * [backup-simplify]: Simplify U into U 8.751 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 8.751 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.751 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.751 * [taylor]: Taking taylor expansion of 1/2 in J 8.751 * [backup-simplify]: Simplify 1/2 into 1/2 8.751 * [taylor]: Taking taylor expansion of K in J 8.751 * [backup-simplify]: Simplify K into K 8.751 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.751 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.751 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.751 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.751 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.751 * [backup-simplify]: Simplify (- 0) into 0 8.751 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.752 * [backup-simplify]: Simplify (* 1 1) into 1 8.752 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.752 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.752 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 8.752 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 8.752 * [taylor]: Taking taylor expansion of 1 in J 8.752 * [backup-simplify]: Simplify 1 into 1 8.752 * [backup-simplify]: Simplify (+ 0 1) into 1 8.753 * [backup-simplify]: Simplify (sqrt 1) into 1 8.753 * [backup-simplify]: Simplify (+ 0 0) into 0 8.753 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.753 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 8.753 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 8.753 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 8.753 * [taylor]: Taking taylor expansion of 1/4 in U 8.753 * [backup-simplify]: Simplify 1/4 into 1/4 8.753 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 8.753 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.753 * [taylor]: Taking taylor expansion of J in U 8.753 * [backup-simplify]: Simplify J into J 8.753 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 8.753 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.753 * [taylor]: Taking taylor expansion of U in U 8.753 * [backup-simplify]: Simplify 0 into 0 8.753 * [backup-simplify]: Simplify 1 into 1 8.753 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 8.753 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.754 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.754 * [taylor]: Taking taylor expansion of 1/2 in U 8.754 * [backup-simplify]: Simplify 1/2 into 1/2 8.754 * [taylor]: Taking taylor expansion of K in U 8.754 * [backup-simplify]: Simplify K into K 8.754 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.754 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.754 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.754 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.754 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.754 * [backup-simplify]: Simplify (- 0) into 0 8.754 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.754 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.756 * [backup-simplify]: Simplify (* 1 1) into 1 8.756 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.756 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 8.756 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 8.756 * [taylor]: Taking taylor expansion of 1 in U 8.757 * [backup-simplify]: Simplify 1 into 1 8.757 * [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))) 8.757 * [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))) 8.757 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 8.757 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.758 * [backup-simplify]: Simplify (+ 0) into 0 8.758 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.758 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.759 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.760 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.760 * [backup-simplify]: Simplify (- 0) into 0 8.761 * [backup-simplify]: Simplify (+ 0 0) into 0 8.761 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 8.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.762 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 8.762 * [backup-simplify]: 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 8.763 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 8.763 * [backup-simplify]: Simplify (+ 0 0) into 0 8.764 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 8.764 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 8.764 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 8.764 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 8.764 * [taylor]: Taking taylor expansion of 1/4 in U 8.764 * [backup-simplify]: Simplify 1/4 into 1/4 8.764 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 8.764 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.764 * [taylor]: Taking taylor expansion of J in U 8.764 * [backup-simplify]: Simplify J into J 8.764 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 8.764 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.764 * [taylor]: Taking taylor expansion of U in U 8.764 * [backup-simplify]: Simplify 0 into 0 8.764 * [backup-simplify]: Simplify 1 into 1 8.764 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 8.764 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.764 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.764 * [taylor]: Taking taylor expansion of 1/2 in U 8.764 * [backup-simplify]: Simplify 1/2 into 1/2 8.764 * [taylor]: Taking taylor expansion of K in U 8.764 * [backup-simplify]: Simplify K into K 8.764 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.764 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.764 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.764 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.765 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.765 * [backup-simplify]: Simplify (- 0) into 0 8.765 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.765 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.765 * [backup-simplify]: Simplify (* 1 1) into 1 8.766 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.766 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 8.766 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 8.766 * [taylor]: Taking taylor expansion of 1 in U 8.766 * [backup-simplify]: Simplify 1 into 1 8.766 * [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))) 8.766 * [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))) 8.767 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 8.767 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.767 * [backup-simplify]: Simplify (+ 0) into 0 8.768 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.768 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.768 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.769 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.769 * [backup-simplify]: Simplify (- 0) into 0 8.770 * [backup-simplify]: Simplify (+ 0 0) into 0 8.770 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 8.770 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 8.771 * [backup-simplify]: 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 8.772 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 8.772 * [backup-simplify]: Simplify (+ 0 0) into 0 8.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 8.773 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 8.773 * [taylor]: Taking taylor expansion of 1/2 in J 8.773 * [backup-simplify]: Simplify 1/2 into 1/2 8.773 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 8.773 * [taylor]: Taking taylor expansion of J in J 8.773 * [backup-simplify]: Simplify 0 into 0 8.773 * [backup-simplify]: Simplify 1 into 1 8.773 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.773 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.773 * [taylor]: Taking taylor expansion of 1/2 in J 8.773 * [backup-simplify]: Simplify 1/2 into 1/2 8.773 * [taylor]: Taking taylor expansion of K in J 8.773 * [backup-simplify]: Simplify K into K 8.773 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.773 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.773 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.773 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.773 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.774 * [backup-simplify]: Simplify (- 0) into 0 8.774 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.774 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 8.774 * [taylor]: Taking taylor expansion of 0 in J 8.774 * [backup-simplify]: Simplify 0 into 0 8.774 * [taylor]: Taking taylor expansion of 0 in K 8.774 * [backup-simplify]: Simplify 0 into 0 8.774 * [backup-simplify]: Simplify 0 into 0 8.774 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 8.774 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 8.774 * [taylor]: Taking taylor expansion of 1/2 in K 8.774 * [backup-simplify]: Simplify 1/2 into 1/2 8.774 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.774 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.774 * [taylor]: Taking taylor expansion of 1/2 in K 8.774 * [backup-simplify]: Simplify 1/2 into 1/2 8.774 * [taylor]: Taking taylor expansion of K in K 8.774 * [backup-simplify]: Simplify 0 into 0 8.774 * [backup-simplify]: Simplify 1 into 1 8.775 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.775 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.775 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 8.775 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 8.776 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 8.776 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.777 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.777 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.778 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.779 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.779 * [backup-simplify]: Simplify (- 0) into 0 8.779 * [backup-simplify]: Simplify (+ 0 0) into 0 8.780 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 8.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 8.782 * [backup-simplify]: 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 8.783 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 8.783 * [backup-simplify]: Simplify (+ 0 1) into 1 8.784 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 8.784 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 8.784 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.784 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.784 * [taylor]: Taking taylor expansion of 1/2 in J 8.784 * [backup-simplify]: Simplify 1/2 into 1/2 8.784 * [taylor]: Taking taylor expansion of K in J 8.785 * [backup-simplify]: Simplify K into K 8.785 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.785 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.785 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.785 * [taylor]: Taking taylor expansion of J in J 8.785 * [backup-simplify]: Simplify 0 into 0 8.785 * [backup-simplify]: Simplify 1 into 1 8.785 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.785 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.785 * [backup-simplify]: Simplify (- 0) into 0 8.785 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.786 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.786 * [backup-simplify]: Simplify (+ 0) into 0 8.786 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.787 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.787 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.788 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.788 * [backup-simplify]: Simplify (- 0) into 0 8.788 * [backup-simplify]: Simplify (+ 0 0) into 0 8.789 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 8.789 * [taylor]: Taking taylor expansion of 0 in K 8.789 * [backup-simplify]: Simplify 0 into 0 8.789 * [backup-simplify]: Simplify 0 into 0 8.789 * [taylor]: Taking taylor expansion of 0 in K 8.790 * [backup-simplify]: Simplify 0 into 0 8.790 * [backup-simplify]: Simplify 0 into 0 8.790 * [backup-simplify]: Simplify (+ 0) into 0 8.790 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.791 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.791 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.792 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.792 * [backup-simplify]: Simplify (- 0) into 0 8.792 * [backup-simplify]: Simplify (+ 0 0) into 0 8.793 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 8.793 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 8.793 * [taylor]: Taking taylor expansion of 0 in K 8.793 * [backup-simplify]: Simplify 0 into 0 8.793 * [backup-simplify]: Simplify 0 into 0 8.793 * [backup-simplify]: Simplify 0 into 0 8.794 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 8.794 * [backup-simplify]: Simplify 0 into 0 8.795 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 8.795 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.796 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.796 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.797 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.797 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.797 * [backup-simplify]: Simplify (- 0) into 0 8.798 * [backup-simplify]: Simplify (+ 0 0) into 0 8.798 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 8.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 8.800 * [backup-simplify]: 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 8.801 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 8.801 * [backup-simplify]: Simplify (+ 0 0) into 0 8.801 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 8.801 * [taylor]: Taking taylor expansion of 0 in J 8.801 * [backup-simplify]: Simplify 0 into 0 8.801 * [taylor]: Taking taylor expansion of 0 in K 8.801 * [backup-simplify]: Simplify 0 into 0 8.801 * [backup-simplify]: Simplify 0 into 0 8.801 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 8.802 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (+ (/ 1 (- J)) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (+ (/ 1 (- J)) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 8.802 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0 8.802 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 8.802 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 8.802 * [taylor]: Taking taylor expansion of 1 in K 8.802 * [backup-simplify]: Simplify 1 into 1 8.802 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 8.802 * [taylor]: Taking taylor expansion of 1/4 in K 8.802 * [backup-simplify]: Simplify 1/4 into 1/4 8.802 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 8.802 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.802 * [taylor]: Taking taylor expansion of J in K 8.802 * [backup-simplify]: Simplify J into J 8.802 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 8.802 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 8.802 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.802 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.802 * [taylor]: Taking taylor expansion of -1/2 in K 8.802 * [backup-simplify]: Simplify -1/2 into -1/2 8.802 * [taylor]: Taking taylor expansion of K in K 8.802 * [backup-simplify]: Simplify 0 into 0 8.802 * [backup-simplify]: Simplify 1 into 1 8.802 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.803 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.803 * [taylor]: Taking taylor expansion of (pow U 2) in K 8.803 * [taylor]: Taking taylor expansion of U in K 8.803 * [backup-simplify]: Simplify U into U 8.803 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.803 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.803 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.803 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 8.803 * [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))) 8.803 * [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)))) 8.803 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 8.804 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 8.804 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.804 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 8.804 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 8.804 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 8.804 * [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 8.805 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 8.805 * [backup-simplify]: Simplify (+ 0 0) into 0 8.805 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 8.805 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 8.805 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 8.805 * [taylor]: Taking taylor expansion of 1 in J 8.805 * [backup-simplify]: Simplify 1 into 1 8.805 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 8.805 * [taylor]: Taking taylor expansion of 1/4 in J 8.805 * [backup-simplify]: Simplify 1/4 into 1/4 8.805 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 8.805 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.805 * [taylor]: Taking taylor expansion of J in J 8.805 * [backup-simplify]: Simplify 0 into 0 8.805 * [backup-simplify]: Simplify 1 into 1 8.805 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 8.805 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 8.805 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.805 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.805 * [taylor]: Taking taylor expansion of -1/2 in J 8.805 * [backup-simplify]: Simplify -1/2 into -1/2 8.805 * [taylor]: Taking taylor expansion of K in J 8.805 * [backup-simplify]: Simplify K into K 8.805 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.806 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.806 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.806 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.806 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.806 * [backup-simplify]: Simplify (- 0) into 0 8.806 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.806 * [taylor]: Taking taylor expansion of (pow U 2) in J 8.806 * [taylor]: Taking taylor expansion of U in J 8.806 * [backup-simplify]: Simplify U into U 8.806 * [backup-simplify]: Simplify (* 1 1) into 1 8.806 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.806 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.806 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 8.807 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 8.807 * [backup-simplify]: Simplify (+ 1 0) into 1 8.807 * [backup-simplify]: Simplify (sqrt 1) into 1 8.807 * [backup-simplify]: Simplify (+ 0 0) into 0 8.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.808 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 8.808 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 8.808 * [taylor]: Taking taylor expansion of 1 in U 8.808 * [backup-simplify]: Simplify 1 into 1 8.808 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 8.808 * [taylor]: Taking taylor expansion of 1/4 in U 8.808 * [backup-simplify]: Simplify 1/4 into 1/4 8.808 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 8.808 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.808 * [taylor]: Taking taylor expansion of J in U 8.808 * [backup-simplify]: Simplify J into J 8.808 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 8.808 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 8.808 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.808 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.808 * [taylor]: Taking taylor expansion of -1/2 in U 8.808 * [backup-simplify]: Simplify -1/2 into -1/2 8.808 * [taylor]: Taking taylor expansion of K in U 8.808 * [backup-simplify]: Simplify K into K 8.808 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.808 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.808 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.808 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.808 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.809 * [backup-simplify]: Simplify (- 0) into 0 8.809 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.809 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.809 * [taylor]: Taking taylor expansion of U in U 8.809 * [backup-simplify]: Simplify 0 into 0 8.809 * [backup-simplify]: Simplify 1 into 1 8.809 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.809 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.809 * [backup-simplify]: Simplify (* 1 1) into 1 8.809 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 8.809 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 8.809 * [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))) 8.810 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 8.810 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 8.810 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.811 * [backup-simplify]: Simplify (+ 0) into 0 8.811 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.811 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.811 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.812 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.812 * [backup-simplify]: Simplify (- 0) into 0 8.812 * [backup-simplify]: Simplify (+ 0 0) into 0 8.812 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 8.813 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 8.813 * [backup-simplify]: 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 8.813 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 8.813 * [backup-simplify]: Simplify (+ 0 0) into 0 8.814 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 8.814 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 8.814 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 8.814 * [taylor]: Taking taylor expansion of 1 in U 8.814 * [backup-simplify]: Simplify 1 into 1 8.814 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 8.814 * [taylor]: Taking taylor expansion of 1/4 in U 8.814 * [backup-simplify]: Simplify 1/4 into 1/4 8.814 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 8.814 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.814 * [taylor]: Taking taylor expansion of J in U 8.814 * [backup-simplify]: Simplify J into J 8.814 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 8.814 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 8.814 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.814 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.814 * [taylor]: Taking taylor expansion of -1/2 in U 8.814 * [backup-simplify]: Simplify -1/2 into -1/2 8.814 * [taylor]: Taking taylor expansion of K in U 8.814 * [backup-simplify]: Simplify K into K 8.814 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.814 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.814 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.814 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.814 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.814 * [backup-simplify]: Simplify (- 0) into 0 8.814 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.814 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.815 * [taylor]: Taking taylor expansion of U in U 8.815 * [backup-simplify]: Simplify 0 into 0 8.815 * [backup-simplify]: Simplify 1 into 1 8.815 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.815 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.815 * [backup-simplify]: Simplify (* 1 1) into 1 8.815 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 8.815 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 8.815 * [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))) 8.815 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 8.816 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 8.816 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.817 * [backup-simplify]: Simplify (+ 0) into 0 8.817 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.817 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.818 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.819 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.819 * [backup-simplify]: Simplify (- 0) into 0 8.819 * [backup-simplify]: Simplify (+ 0 0) into 0 8.819 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 8.820 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 8.820 * [backup-simplify]: 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 8.821 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 8.821 * [backup-simplify]: Simplify (+ 0 0) into 0 8.822 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 8.822 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 8.822 * [taylor]: Taking taylor expansion of 1/2 in J 8.822 * [backup-simplify]: Simplify 1/2 into 1/2 8.822 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 8.822 * [taylor]: Taking taylor expansion of J in J 8.822 * [backup-simplify]: Simplify 0 into 0 8.822 * [backup-simplify]: Simplify 1 into 1 8.822 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.822 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.822 * [taylor]: Taking taylor expansion of -1/2 in J 8.822 * [backup-simplify]: Simplify -1/2 into -1/2 8.822 * [taylor]: Taking taylor expansion of K in J 8.822 * [backup-simplify]: Simplify K into K 8.822 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.822 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.822 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.822 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.822 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.823 * [backup-simplify]: Simplify (- 0) into 0 8.823 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.823 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 8.823 * [taylor]: Taking taylor expansion of 0 in J 8.823 * [backup-simplify]: Simplify 0 into 0 8.823 * [taylor]: Taking taylor expansion of 0 in K 8.823 * [backup-simplify]: Simplify 0 into 0 8.823 * [backup-simplify]: Simplify 0 into 0 8.823 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 8.823 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 8.823 * [taylor]: Taking taylor expansion of 1/2 in K 8.823 * [backup-simplify]: Simplify 1/2 into 1/2 8.823 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.823 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.823 * [taylor]: Taking taylor expansion of -1/2 in K 8.823 * [backup-simplify]: Simplify -1/2 into -1/2 8.823 * [taylor]: Taking taylor expansion of K in K 8.823 * [backup-simplify]: Simplify 0 into 0 8.823 * [backup-simplify]: Simplify 1 into 1 8.824 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.824 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.824 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 8.824 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 8.825 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 8.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.826 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.827 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.827 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.828 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.829 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.829 * [backup-simplify]: Simplify (- 0) into 0 8.829 * [backup-simplify]: Simplify (+ 0 0) into 0 8.830 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 8.830 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 8.831 * [backup-simplify]: 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 8.832 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 8.832 * [backup-simplify]: Simplify (+ 1 0) into 1 8.833 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 8.833 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 8.833 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.833 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.833 * [taylor]: Taking taylor expansion of -1/2 in J 8.833 * [backup-simplify]: Simplify -1/2 into -1/2 8.833 * [taylor]: Taking taylor expansion of K in J 8.833 * [backup-simplify]: Simplify K into K 8.833 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.833 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.834 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.834 * [taylor]: Taking taylor expansion of J in J 8.834 * [backup-simplify]: Simplify 0 into 0 8.834 * [backup-simplify]: Simplify 1 into 1 8.834 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.834 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.834 * [backup-simplify]: Simplify (- 0) into 0 8.834 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.834 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.835 * [backup-simplify]: Simplify (+ 0) into 0 8.835 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.835 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.836 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.836 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.837 * [backup-simplify]: Simplify (- 0) into 0 8.837 * [backup-simplify]: Simplify (+ 0 0) into 0 8.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 8.838 * [taylor]: Taking taylor expansion of 0 in K 8.838 * [backup-simplify]: Simplify 0 into 0 8.838 * [backup-simplify]: Simplify 0 into 0 8.838 * [taylor]: Taking taylor expansion of 0 in K 8.838 * [backup-simplify]: Simplify 0 into 0 8.838 * [backup-simplify]: Simplify 0 into 0 8.839 * [backup-simplify]: Simplify (+ 0) into 0 8.839 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.839 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.840 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.840 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.840 * [backup-simplify]: Simplify (- 0) into 0 8.840 * [backup-simplify]: Simplify (+ 0 0) into 0 8.841 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 8.841 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 8.841 * [taylor]: Taking taylor expansion of 0 in K 8.841 * [backup-simplify]: Simplify 0 into 0 8.841 * [backup-simplify]: Simplify 0 into 0 8.841 * [backup-simplify]: Simplify 0 into 0 8.841 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 8.841 * [backup-simplify]: Simplify 0 into 0 8.842 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 8.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.843 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.843 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.843 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.844 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.845 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.845 * [backup-simplify]: Simplify (- 0) into 0 8.845 * [backup-simplify]: Simplify (+ 0 0) into 0 8.846 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 8.846 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.847 * [backup-simplify]: 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 8.847 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 8.848 * [backup-simplify]: Simplify (+ 0 0) into 0 8.848 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 8.848 * [taylor]: Taking taylor expansion of 0 in J 8.848 * [backup-simplify]: Simplify 0 into 0 8.848 * [taylor]: Taking taylor expansion of 0 in K 8.848 * [backup-simplify]: Simplify 0 into 0 8.848 * [backup-simplify]: Simplify 0 into 0 8.848 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 8.848 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 8.848 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 8.848 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0 8.848 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 8.848 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 8.848 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 8.848 * [taylor]: Taking taylor expansion of 1/4 in K 8.848 * [backup-simplify]: Simplify 1/4 into 1/4 8.848 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 8.849 * [taylor]: Taking taylor expansion of (pow U 2) in K 8.849 * [taylor]: Taking taylor expansion of U in K 8.849 * [backup-simplify]: Simplify U into U 8.849 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 8.849 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 8.849 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 8.849 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 8.849 * [taylor]: Taking taylor expansion of 1/2 in K 8.849 * [backup-simplify]: Simplify 1/2 into 1/2 8.849 * [taylor]: Taking taylor expansion of K in K 8.849 * [backup-simplify]: Simplify 0 into 0 8.849 * [backup-simplify]: Simplify 1 into 1 8.849 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.849 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.849 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.849 * [taylor]: Taking taylor expansion of J in K 8.849 * [backup-simplify]: Simplify J into J 8.849 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.850 * [backup-simplify]: Simplify (* 1 1) into 1 8.850 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.850 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 8.850 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 8.850 * [taylor]: Taking taylor expansion of 1 in K 8.850 * [backup-simplify]: Simplify 1 into 1 8.850 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 8.850 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 8.850 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 8.850 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 8.850 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.851 * [backup-simplify]: Simplify (+ 0) into 0 8.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 8.852 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 8.852 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 8.853 * [backup-simplify]: Simplify (+ 0 0) into 0 8.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 8.853 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 8.853 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 8.853 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 8.853 * [taylor]: Taking taylor expansion of 1/4 in J 8.853 * [backup-simplify]: Simplify 1/4 into 1/4 8.853 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 8.853 * [taylor]: Taking taylor expansion of (pow U 2) in J 8.853 * [taylor]: Taking taylor expansion of U in J 8.853 * [backup-simplify]: Simplify U into U 8.853 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 8.853 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 8.853 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 8.853 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 8.853 * [taylor]: Taking taylor expansion of 1/2 in J 8.853 * [backup-simplify]: Simplify 1/2 into 1/2 8.853 * [taylor]: Taking taylor expansion of K in J 8.853 * [backup-simplify]: Simplify K into K 8.853 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.854 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.854 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.854 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.854 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.854 * [backup-simplify]: Simplify (- 0) into 0 8.854 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.854 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.854 * [taylor]: Taking taylor expansion of J in J 8.854 * [backup-simplify]: Simplify 0 into 0 8.854 * [backup-simplify]: Simplify 1 into 1 8.855 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.855 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 8.855 * [backup-simplify]: Simplify (* 1 1) into 1 8.855 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 8.855 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 8.855 * [taylor]: Taking taylor expansion of 1 in J 8.855 * [backup-simplify]: Simplify 1 into 1 8.856 * [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))) 8.856 * [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))) 8.856 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 8.856 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 8.857 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.857 * [backup-simplify]: Simplify (+ 0) into 0 8.858 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.858 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 8.859 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.859 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 8.860 * [backup-simplify]: Simplify (- 0) into 0 8.860 * [backup-simplify]: Simplify (+ 0 0) into 0 8.860 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 8.861 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 8.861 * [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 8.861 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 8.862 * [backup-simplify]: Simplify (+ 0 0) into 0 8.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 8.862 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 8.862 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 8.862 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 8.862 * [taylor]: Taking taylor expansion of 1/4 in U 8.862 * [backup-simplify]: Simplify 1/4 into 1/4 8.862 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 8.862 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.862 * [taylor]: Taking taylor expansion of U in U 8.862 * [backup-simplify]: Simplify 0 into 0 8.862 * [backup-simplify]: Simplify 1 into 1 8.862 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 8.862 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 8.862 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 8.862 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 8.862 * [taylor]: Taking taylor expansion of 1/2 in U 8.862 * [backup-simplify]: Simplify 1/2 into 1/2 8.862 * [taylor]: Taking taylor expansion of K in U 8.862 * [backup-simplify]: Simplify K into K 8.862 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.862 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.862 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.862 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.862 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.862 * [backup-simplify]: Simplify (- 0) into 0 8.862 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.862 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.863 * [taylor]: Taking taylor expansion of J in U 8.863 * [backup-simplify]: Simplify J into J 8.863 * [backup-simplify]: Simplify (* 1 1) into 1 8.863 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 8.863 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.863 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 8.863 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 8.863 * [taylor]: Taking taylor expansion of 1 in U 8.863 * [backup-simplify]: Simplify 1 into 1 8.863 * [backup-simplify]: Simplify (+ 0 1) into 1 8.864 * [backup-simplify]: Simplify (sqrt 1) into 1 8.864 * [backup-simplify]: Simplify (+ 0 0) into 0 8.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.864 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 8.864 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 8.864 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 8.864 * [taylor]: Taking taylor expansion of 1/4 in U 8.864 * [backup-simplify]: Simplify 1/4 into 1/4 8.864 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 8.864 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.864 * [taylor]: Taking taylor expansion of U in U 8.864 * [backup-simplify]: Simplify 0 into 0 8.864 * [backup-simplify]: Simplify 1 into 1 8.864 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 8.865 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 8.865 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 8.865 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 8.865 * [taylor]: Taking taylor expansion of 1/2 in U 8.865 * [backup-simplify]: Simplify 1/2 into 1/2 8.865 * [taylor]: Taking taylor expansion of K in U 8.865 * [backup-simplify]: Simplify K into K 8.865 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.865 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.865 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.865 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.865 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.865 * [backup-simplify]: Simplify (- 0) into 0 8.865 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.865 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.865 * [taylor]: Taking taylor expansion of J in U 8.865 * [backup-simplify]: Simplify J into J 8.865 * [backup-simplify]: Simplify (* 1 1) into 1 8.865 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 8.866 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.866 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 8.866 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 8.866 * [taylor]: Taking taylor expansion of 1 in U 8.866 * [backup-simplify]: Simplify 1 into 1 8.866 * [backup-simplify]: Simplify (+ 0 1) into 1 8.866 * [backup-simplify]: Simplify (sqrt 1) into 1 8.867 * [backup-simplify]: Simplify (+ 0 0) into 0 8.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.867 * [taylor]: Taking taylor expansion of 1 in J 8.867 * [backup-simplify]: Simplify 1 into 1 8.867 * [taylor]: Taking taylor expansion of 0 in J 8.867 * [backup-simplify]: Simplify 0 into 0 8.867 * [taylor]: Taking taylor expansion of 1 in K 8.867 * [backup-simplify]: Simplify 1 into 1 8.867 * [backup-simplify]: Simplify 1 into 1 8.867 * [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))) 8.867 * [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)))) 8.868 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 8.868 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 8.868 * [taylor]: Taking taylor expansion of 1/8 in J 8.868 * [backup-simplify]: Simplify 1/8 into 1/8 8.868 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 8.868 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 8.868 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 8.868 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 8.868 * [taylor]: Taking taylor expansion of 1/2 in J 8.868 * [backup-simplify]: Simplify 1/2 into 1/2 8.868 * [taylor]: Taking taylor expansion of K in J 8.868 * [backup-simplify]: Simplify K into K 8.868 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.869 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.869 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.869 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.869 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.869 * [backup-simplify]: Simplify (- 0) into 0 8.869 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.869 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.869 * [taylor]: Taking taylor expansion of J in J 8.869 * [backup-simplify]: Simplify 0 into 0 8.869 * [backup-simplify]: Simplify 1 into 1 8.869 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 8.869 * [backup-simplify]: Simplify (* 1 1) into 1 8.869 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 8.870 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 8.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.870 * [backup-simplify]: Simplify (+ 0) into 0 8.870 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.871 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 8.871 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.872 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 8.873 * [backup-simplify]: Simplify (- 0) into 0 8.874 * [backup-simplify]: Simplify (+ 0 0) into 0 8.874 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 8.874 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 8.874 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 8.874 * [taylor]: Taking taylor expansion of 0 in K 8.874 * [backup-simplify]: Simplify 0 into 0 8.875 * [backup-simplify]: Simplify 0 into 0 8.875 * [taylor]: Taking taylor expansion of 0 in K 8.875 * [backup-simplify]: Simplify 0 into 0 8.875 * [backup-simplify]: Simplify 0 into 0 8.875 * [taylor]: Taking taylor expansion of 0 in K 8.875 * [backup-simplify]: Simplify 0 into 0 8.875 * [backup-simplify]: Simplify 0 into 0 8.875 * [backup-simplify]: Simplify 0 into 0 8.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.875 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.875 * [backup-simplify]: Simplify (+ 0) into 0 8.876 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.876 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 8.877 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.877 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 8.877 * [backup-simplify]: Simplify (- 0) into 0 8.877 * [backup-simplify]: Simplify (+ 0 0) into 0 8.878 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 8.878 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 8.878 * [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 8.878 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 8.879 * [backup-simplify]: Simplify (+ 0 0) into 0 8.879 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 8.879 * [taylor]: Taking taylor expansion of 0 in J 8.879 * [backup-simplify]: Simplify 0 into 0 8.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.880 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.881 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.881 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 8.882 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.882 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.882 * [backup-simplify]: Simplify (- 0) into 0 8.883 * [backup-simplify]: Simplify (+ 0 0) into 0 8.883 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 8.883 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 8.884 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 8.884 * [taylor]: Taking taylor expansion of 0 in K 8.884 * [backup-simplify]: Simplify 0 into 0 8.884 * [backup-simplify]: Simplify 0 into 0 8.884 * [taylor]: Taking taylor expansion of 0 in K 8.884 * [backup-simplify]: Simplify 0 into 0 8.884 * [backup-simplify]: Simplify 0 into 0 8.884 * [backup-simplify]: Simplify 1 into 1 8.884 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (+ (/ 1 J) (/ 1 J)) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (+ (/ 1 J) (/ 1 J)) (cos (/ (/ 1 K) 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 8.884 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0 8.884 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 8.884 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 8.884 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 8.884 * [taylor]: Taking taylor expansion of 1/4 in K 8.884 * [backup-simplify]: Simplify 1/4 into 1/4 8.884 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 8.884 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.884 * [taylor]: Taking taylor expansion of J in K 8.884 * [backup-simplify]: Simplify J into J 8.885 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 8.885 * [taylor]: Taking taylor expansion of (pow U 2) in K 8.885 * [taylor]: Taking taylor expansion of U in K 8.885 * [backup-simplify]: Simplify U into U 8.885 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 8.885 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.885 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.885 * [taylor]: Taking taylor expansion of 1/2 in K 8.885 * [backup-simplify]: Simplify 1/2 into 1/2 8.885 * [taylor]: Taking taylor expansion of K in K 8.885 * [backup-simplify]: Simplify 0 into 0 8.885 * [backup-simplify]: Simplify 1 into 1 8.885 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.885 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.885 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.885 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.885 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.885 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 8.885 * [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))) 8.885 * [taylor]: Taking taylor expansion of 1 in K 8.885 * [backup-simplify]: Simplify 1 into 1 8.886 * [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)))) 8.886 * [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) 8.886 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 8.886 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.886 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 8.886 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 8.886 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 8.887 * [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 8.887 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 8.888 * [backup-simplify]: Simplify (+ 0 0) into 0 8.888 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 8.888 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 8.888 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 8.888 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 8.888 * [taylor]: Taking taylor expansion of 1/4 in J 8.888 * [backup-simplify]: Simplify 1/4 into 1/4 8.888 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 8.888 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.888 * [taylor]: Taking taylor expansion of J in J 8.888 * [backup-simplify]: Simplify 0 into 0 8.888 * [backup-simplify]: Simplify 1 into 1 8.888 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 8.888 * [taylor]: Taking taylor expansion of (pow U 2) in J 8.888 * [taylor]: Taking taylor expansion of U in J 8.889 * [backup-simplify]: Simplify U into U 8.889 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 8.889 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.889 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.889 * [taylor]: Taking taylor expansion of 1/2 in J 8.889 * [backup-simplify]: Simplify 1/2 into 1/2 8.889 * [taylor]: Taking taylor expansion of K in J 8.889 * [backup-simplify]: Simplify K into K 8.889 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.889 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.889 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.889 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.889 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.890 * [backup-simplify]: Simplify (- 0) into 0 8.890 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.890 * [backup-simplify]: Simplify (* 1 1) into 1 8.890 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.890 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.890 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 8.891 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 8.891 * [taylor]: Taking taylor expansion of 1 in J 8.891 * [backup-simplify]: Simplify 1 into 1 8.891 * [backup-simplify]: Simplify (+ 0 1) into 1 8.892 * [backup-simplify]: Simplify (sqrt 1) into 1 8.892 * [backup-simplify]: Simplify (+ 0 0) into 0 8.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.893 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 8.893 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 8.894 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 8.894 * [taylor]: Taking taylor expansion of 1/4 in U 8.894 * [backup-simplify]: Simplify 1/4 into 1/4 8.894 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 8.894 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.894 * [taylor]: Taking taylor expansion of J in U 8.894 * [backup-simplify]: Simplify J into J 8.894 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 8.894 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.894 * [taylor]: Taking taylor expansion of U in U 8.894 * [backup-simplify]: Simplify 0 into 0 8.894 * [backup-simplify]: Simplify 1 into 1 8.894 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 8.894 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.894 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.894 * [taylor]: Taking taylor expansion of 1/2 in U 8.894 * [backup-simplify]: Simplify 1/2 into 1/2 8.894 * [taylor]: Taking taylor expansion of K in U 8.894 * [backup-simplify]: Simplify K into K 8.894 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.894 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.895 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.895 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.895 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.895 * [backup-simplify]: Simplify (- 0) into 0 8.895 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.895 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.896 * [backup-simplify]: Simplify (* 1 1) into 1 8.896 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.896 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 8.896 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 8.896 * [taylor]: Taking taylor expansion of 1 in U 8.896 * [backup-simplify]: Simplify 1 into 1 8.897 * [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))) 8.897 * [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))) 8.897 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 8.897 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.898 * [backup-simplify]: Simplify (+ 0) into 0 8.898 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.899 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.900 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.900 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.900 * [backup-simplify]: Simplify (- 0) into 0 8.901 * [backup-simplify]: Simplify (+ 0 0) into 0 8.901 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 8.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 8.903 * [backup-simplify]: 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 8.903 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 8.904 * [backup-simplify]: Simplify (+ 0 0) into 0 8.904 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 8.904 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 8.904 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 8.904 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 8.904 * [taylor]: Taking taylor expansion of 1/4 in U 8.904 * [backup-simplify]: Simplify 1/4 into 1/4 8.904 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 8.904 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.904 * [taylor]: Taking taylor expansion of J in U 8.904 * [backup-simplify]: Simplify J into J 8.904 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 8.904 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.904 * [taylor]: Taking taylor expansion of U in U 8.904 * [backup-simplify]: Simplify 0 into 0 8.904 * [backup-simplify]: Simplify 1 into 1 8.904 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 8.904 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.904 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.904 * [taylor]: Taking taylor expansion of 1/2 in U 8.905 * [backup-simplify]: Simplify 1/2 into 1/2 8.905 * [taylor]: Taking taylor expansion of K in U 8.905 * [backup-simplify]: Simplify K into K 8.905 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.905 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.905 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.905 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.905 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.905 * [backup-simplify]: Simplify (- 0) into 0 8.905 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.906 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.906 * [backup-simplify]: Simplify (* 1 1) into 1 8.906 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.906 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 8.906 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 8.906 * [taylor]: Taking taylor expansion of 1 in U 8.906 * [backup-simplify]: Simplify 1 into 1 8.907 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 8.907 * [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))) 8.907 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 8.907 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.908 * [backup-simplify]: Simplify (+ 0) into 0 8.908 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.908 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.909 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.910 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.910 * [backup-simplify]: Simplify (- 0) into 0 8.911 * [backup-simplify]: Simplify (+ 0 0) into 0 8.911 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 8.912 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.912 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 8.913 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 8.913 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 8.914 * [backup-simplify]: Simplify (+ 0 0) into 0 8.914 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 8.914 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 8.914 * [taylor]: Taking taylor expansion of 1/2 in J 8.914 * [backup-simplify]: Simplify 1/2 into 1/2 8.914 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 8.914 * [taylor]: Taking taylor expansion of J in J 8.914 * [backup-simplify]: Simplify 0 into 0 8.914 * [backup-simplify]: Simplify 1 into 1 8.914 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.914 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.914 * [taylor]: Taking taylor expansion of 1/2 in J 8.914 * [backup-simplify]: Simplify 1/2 into 1/2 8.914 * [taylor]: Taking taylor expansion of K in J 8.915 * [backup-simplify]: Simplify K into K 8.915 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.915 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.915 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.915 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.915 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.915 * [backup-simplify]: Simplify (- 0) into 0 8.915 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.916 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 8.916 * [taylor]: Taking taylor expansion of 0 in J 8.916 * [backup-simplify]: Simplify 0 into 0 8.916 * [taylor]: Taking taylor expansion of 0 in K 8.916 * [backup-simplify]: Simplify 0 into 0 8.916 * [backup-simplify]: Simplify 0 into 0 8.916 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 8.916 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 8.916 * [taylor]: Taking taylor expansion of 1/2 in K 8.916 * [backup-simplify]: Simplify 1/2 into 1/2 8.916 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.916 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.916 * [taylor]: Taking taylor expansion of 1/2 in K 8.916 * [backup-simplify]: Simplify 1/2 into 1/2 8.916 * [taylor]: Taking taylor expansion of K in K 8.916 * [backup-simplify]: Simplify 0 into 0 8.916 * [backup-simplify]: Simplify 1 into 1 8.917 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.917 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.917 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 8.917 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 8.917 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 8.918 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.918 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.919 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.919 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.920 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.920 * [backup-simplify]: Simplify (- 0) into 0 8.921 * [backup-simplify]: Simplify (+ 0 0) into 0 8.921 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 8.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 8.923 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 8.924 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 8.925 * [backup-simplify]: Simplify (+ 0 1) into 1 8.926 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 8.926 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 8.926 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.926 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.926 * [taylor]: Taking taylor expansion of 1/2 in J 8.926 * [backup-simplify]: Simplify 1/2 into 1/2 8.926 * [taylor]: Taking taylor expansion of K in J 8.926 * [backup-simplify]: Simplify K into K 8.926 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.926 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.926 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.926 * [taylor]: Taking taylor expansion of J in J 8.926 * [backup-simplify]: Simplify 0 into 0 8.926 * [backup-simplify]: Simplify 1 into 1 8.926 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.927 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.927 * [backup-simplify]: Simplify (- 0) into 0 8.927 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.927 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.928 * [backup-simplify]: Simplify (+ 0) into 0 8.928 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.928 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.929 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.929 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.929 * [backup-simplify]: Simplify (- 0) into 0 8.930 * [backup-simplify]: Simplify (+ 0 0) into 0 8.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 8.931 * [taylor]: Taking taylor expansion of 0 in K 8.931 * [backup-simplify]: Simplify 0 into 0 8.931 * [backup-simplify]: Simplify 0 into 0 8.931 * [taylor]: Taking taylor expansion of 0 in K 8.931 * [backup-simplify]: Simplify 0 into 0 8.931 * [backup-simplify]: Simplify 0 into 0 8.931 * [backup-simplify]: Simplify (+ 0) into 0 8.932 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.932 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.933 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.933 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.934 * [backup-simplify]: Simplify (- 0) into 0 8.934 * [backup-simplify]: Simplify (+ 0 0) into 0 8.934 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 8.935 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 8.935 * [taylor]: Taking taylor expansion of 0 in K 8.935 * [backup-simplify]: Simplify 0 into 0 8.935 * [backup-simplify]: Simplify 0 into 0 8.935 * [backup-simplify]: Simplify 0 into 0 8.935 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 8.935 * [backup-simplify]: Simplify 0 into 0 8.936 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 8.937 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.938 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.938 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.940 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.941 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.941 * [backup-simplify]: Simplify (- 0) into 0 8.941 * [backup-simplify]: Simplify (+ 0 0) into 0 8.942 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 8.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 8.945 * [backup-simplify]: 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 8.947 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 8.947 * [backup-simplify]: Simplify (+ 0 0) into 0 8.948 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 8.948 * [taylor]: Taking taylor expansion of 0 in J 8.948 * [backup-simplify]: Simplify 0 into 0 8.948 * [taylor]: Taking taylor expansion of 0 in K 8.948 * [backup-simplify]: Simplify 0 into 0 8.948 * [backup-simplify]: Simplify 0 into 0 8.948 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 8.949 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (+ (/ 1 (- J)) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (+ (/ 1 (- J)) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 8.949 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0 8.949 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 8.949 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 8.949 * [taylor]: Taking taylor expansion of 1 in K 8.949 * [backup-simplify]: Simplify 1 into 1 8.949 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 8.949 * [taylor]: Taking taylor expansion of 1/4 in K 8.949 * [backup-simplify]: Simplify 1/4 into 1/4 8.949 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 8.949 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.949 * [taylor]: Taking taylor expansion of J in K 8.949 * [backup-simplify]: Simplify J into J 8.949 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 8.949 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 8.949 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.949 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.949 * [taylor]: Taking taylor expansion of -1/2 in K 8.949 * [backup-simplify]: Simplify -1/2 into -1/2 8.949 * [taylor]: Taking taylor expansion of K in K 8.949 * [backup-simplify]: Simplify 0 into 0 8.949 * [backup-simplify]: Simplify 1 into 1 8.950 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.950 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.950 * [taylor]: Taking taylor expansion of (pow U 2) in K 8.950 * [taylor]: Taking taylor expansion of U in K 8.950 * [backup-simplify]: Simplify U into U 8.950 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.950 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.951 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.951 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 8.951 * [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))) 8.951 * [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)))) 8.952 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 8.952 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 8.952 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.952 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 8.952 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 8.953 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 8.953 * [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 8.954 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 8.955 * [backup-simplify]: Simplify (+ 0 0) into 0 8.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 8.955 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 8.955 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 8.955 * [taylor]: Taking taylor expansion of 1 in J 8.955 * [backup-simplify]: Simplify 1 into 1 8.955 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 8.955 * [taylor]: Taking taylor expansion of 1/4 in J 8.955 * [backup-simplify]: Simplify 1/4 into 1/4 8.955 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 8.955 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.955 * [taylor]: Taking taylor expansion of J in J 8.955 * [backup-simplify]: Simplify 0 into 0 8.955 * [backup-simplify]: Simplify 1 into 1 8.955 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 8.955 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 8.956 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.956 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.956 * [taylor]: Taking taylor expansion of -1/2 in J 8.956 * [backup-simplify]: Simplify -1/2 into -1/2 8.956 * [taylor]: Taking taylor expansion of K in J 8.956 * [backup-simplify]: Simplify K into K 8.956 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.956 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.956 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.956 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.956 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.957 * [backup-simplify]: Simplify (- 0) into 0 8.957 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.957 * [taylor]: Taking taylor expansion of (pow U 2) in J 8.957 * [taylor]: Taking taylor expansion of U in J 8.957 * [backup-simplify]: Simplify U into U 8.957 * [backup-simplify]: Simplify (* 1 1) into 1 8.957 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.957 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.958 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 8.958 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 8.958 * [backup-simplify]: Simplify (+ 1 0) into 1 8.959 * [backup-simplify]: Simplify (sqrt 1) into 1 8.959 * [backup-simplify]: Simplify (+ 0 0) into 0 8.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.960 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 8.960 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 8.960 * [taylor]: Taking taylor expansion of 1 in U 8.960 * [backup-simplify]: Simplify 1 into 1 8.960 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 8.960 * [taylor]: Taking taylor expansion of 1/4 in U 8.960 * [backup-simplify]: Simplify 1/4 into 1/4 8.960 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 8.960 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.960 * [taylor]: Taking taylor expansion of J in U 8.960 * [backup-simplify]: Simplify J into J 8.960 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 8.960 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 8.960 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.960 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.960 * [taylor]: Taking taylor expansion of -1/2 in U 8.960 * [backup-simplify]: Simplify -1/2 into -1/2 8.960 * [taylor]: Taking taylor expansion of K in U 8.960 * [backup-simplify]: Simplify K into K 8.960 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.961 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.961 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.961 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.961 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.961 * [backup-simplify]: Simplify (- 0) into 0 8.961 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.961 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.961 * [taylor]: Taking taylor expansion of U in U 8.961 * [backup-simplify]: Simplify 0 into 0 8.961 * [backup-simplify]: Simplify 1 into 1 8.961 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.962 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.962 * [backup-simplify]: Simplify (* 1 1) into 1 8.962 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 8.962 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 8.963 * [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))) 8.963 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 8.963 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 8.963 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.964 * [backup-simplify]: Simplify (+ 0) into 0 8.965 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.965 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.966 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.966 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.967 * [backup-simplify]: Simplify (- 0) into 0 8.967 * [backup-simplify]: Simplify (+ 0 0) into 0 8.967 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 8.968 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 8.968 * [backup-simplify]: 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 8.969 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 8.969 * [backup-simplify]: Simplify (+ 0 0) into 0 8.969 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 8.970 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 8.970 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 8.970 * [taylor]: Taking taylor expansion of 1 in U 8.970 * [backup-simplify]: Simplify 1 into 1 8.970 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 8.970 * [taylor]: Taking taylor expansion of 1/4 in U 8.970 * [backup-simplify]: Simplify 1/4 into 1/4 8.970 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 8.970 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.970 * [taylor]: Taking taylor expansion of J in U 8.970 * [backup-simplify]: Simplify J into J 8.970 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 8.970 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 8.970 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.970 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.970 * [taylor]: Taking taylor expansion of -1/2 in U 8.970 * [backup-simplify]: Simplify -1/2 into -1/2 8.970 * [taylor]: Taking taylor expansion of K in U 8.970 * [backup-simplify]: Simplify K into K 8.970 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.970 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.970 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.970 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.970 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.971 * [backup-simplify]: Simplify (- 0) into 0 8.971 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.971 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.971 * [taylor]: Taking taylor expansion of U in U 8.971 * [backup-simplify]: Simplify 0 into 0 8.971 * [backup-simplify]: Simplify 1 into 1 8.971 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.972 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.972 * [backup-simplify]: Simplify (* 1 1) into 1 8.972 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 8.972 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 8.973 * [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))) 8.973 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 8.973 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 8.973 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.974 * [backup-simplify]: Simplify (+ 0) into 0 8.975 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.975 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.976 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.976 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.977 * [backup-simplify]: Simplify (- 0) into 0 8.977 * [backup-simplify]: Simplify (+ 0 0) into 0 8.977 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 8.978 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 8.978 * [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))))) into 0 8.979 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 8.979 * [backup-simplify]: Simplify (+ 0 0) into 0 8.980 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 8.980 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 8.980 * [taylor]: Taking taylor expansion of 1/2 in J 8.980 * [backup-simplify]: Simplify 1/2 into 1/2 8.980 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 8.980 * [taylor]: Taking taylor expansion of J in J 8.980 * [backup-simplify]: Simplify 0 into 0 8.980 * [backup-simplify]: Simplify 1 into 1 8.980 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.980 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.980 * [taylor]: Taking taylor expansion of -1/2 in J 8.980 * [backup-simplify]: Simplify -1/2 into -1/2 8.980 * [taylor]: Taking taylor expansion of K in J 8.980 * [backup-simplify]: Simplify K into K 8.980 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.980 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.980 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.980 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.980 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.981 * [backup-simplify]: Simplify (- 0) into 0 8.981 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.981 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 8.981 * [taylor]: Taking taylor expansion of 0 in J 8.981 * [backup-simplify]: Simplify 0 into 0 8.981 * [taylor]: Taking taylor expansion of 0 in K 8.981 * [backup-simplify]: Simplify 0 into 0 8.981 * [backup-simplify]: Simplify 0 into 0 8.981 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 8.981 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 8.981 * [taylor]: Taking taylor expansion of 1/2 in K 8.981 * [backup-simplify]: Simplify 1/2 into 1/2 8.981 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.981 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.981 * [taylor]: Taking taylor expansion of -1/2 in K 8.982 * [backup-simplify]: Simplify -1/2 into -1/2 8.982 * [taylor]: Taking taylor expansion of K in K 8.982 * [backup-simplify]: Simplify 0 into 0 8.982 * [backup-simplify]: Simplify 1 into 1 8.982 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.982 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.982 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 8.982 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 8.983 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 8.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.985 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.986 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.986 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.987 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.987 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.988 * [backup-simplify]: Simplify (- 0) into 0 8.988 * [backup-simplify]: Simplify (+ 0 0) into 0 8.989 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 8.990 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 8.990 * [backup-simplify]: 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 8.991 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 8.992 * [backup-simplify]: Simplify (+ 1 0) into 1 8.993 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 8.993 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 8.993 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.993 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.993 * [taylor]: Taking taylor expansion of -1/2 in J 8.993 * [backup-simplify]: Simplify -1/2 into -1/2 8.993 * [taylor]: Taking taylor expansion of K in J 8.993 * [backup-simplify]: Simplify K into K 8.993 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.993 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.993 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.993 * [taylor]: Taking taylor expansion of J in J 8.993 * [backup-simplify]: Simplify 0 into 0 8.993 * [backup-simplify]: Simplify 1 into 1 8.993 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.993 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.994 * [backup-simplify]: Simplify (- 0) into 0 8.994 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.994 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.995 * [backup-simplify]: Simplify (+ 0) into 0 8.995 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.995 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.996 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.997 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.997 * [backup-simplify]: Simplify (- 0) into 0 8.998 * [backup-simplify]: Simplify (+ 0 0) into 0 8.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 8.999 * [taylor]: Taking taylor expansion of 0 in K 8.999 * [backup-simplify]: Simplify 0 into 0 8.999 * [backup-simplify]: Simplify 0 into 0 8.999 * [taylor]: Taking taylor expansion of 0 in K 8.999 * [backup-simplify]: Simplify 0 into 0 8.999 * [backup-simplify]: Simplify 0 into 0 8.999 * [backup-simplify]: Simplify (+ 0) into 0 9.000 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 9.000 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 9.001 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.001 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 9.002 * [backup-simplify]: Simplify (- 0) into 0 9.002 * [backup-simplify]: Simplify (+ 0 0) into 0 9.002 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 9.003 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 9.003 * [taylor]: Taking taylor expansion of 0 in K 9.003 * [backup-simplify]: Simplify 0 into 0 9.003 * [backup-simplify]: Simplify 0 into 0 9.003 * [backup-simplify]: Simplify 0 into 0 9.003 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 9.003 * [backup-simplify]: Simplify 0 into 0 9.004 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 9.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.006 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.007 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.007 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.009 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 9.010 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 9.010 * [backup-simplify]: Simplify (- 0) into 0 9.010 * [backup-simplify]: Simplify (+ 0 0) into 0 9.011 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 9.012 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.013 * [backup-simplify]: 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 9.014 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 9.015 * [backup-simplify]: Simplify (+ 0 0) into 0 9.015 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 9.015 * [taylor]: Taking taylor expansion of 0 in J 9.015 * [backup-simplify]: Simplify 0 into 0 9.015 * [taylor]: Taking taylor expansion of 0 in K 9.015 * [backup-simplify]: Simplify 0 into 0 9.015 * [backup-simplify]: Simplify 0 into 0 9.015 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 9.015 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1) 9.016 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) into (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) 9.016 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in (U J K) around 0 9.016 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in K 9.016 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 9.016 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 9.016 * [taylor]: Taking taylor expansion of 1/4 in K 9.016 * [backup-simplify]: Simplify 1/4 into 1/4 9.016 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 9.016 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 9.016 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 9.016 * [taylor]: Taking taylor expansion of 1/4 in K 9.016 * [backup-simplify]: Simplify 1/4 into 1/4 9.016 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 9.016 * [taylor]: Taking taylor expansion of (pow U 2) in K 9.017 * [taylor]: Taking taylor expansion of U in K 9.017 * [backup-simplify]: Simplify U into U 9.017 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 9.017 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 9.017 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 9.017 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 9.017 * [taylor]: Taking taylor expansion of 1/2 in K 9.017 * [backup-simplify]: Simplify 1/2 into 1/2 9.017 * [taylor]: Taking taylor expansion of K in K 9.017 * [backup-simplify]: Simplify 0 into 0 9.017 * [backup-simplify]: Simplify 1 into 1 9.017 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.018 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.018 * [taylor]: Taking taylor expansion of (pow J 2) in K 9.018 * [taylor]: Taking taylor expansion of J in K 9.018 * [backup-simplify]: Simplify J into J 9.019 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.019 * [backup-simplify]: Simplify (* 1 1) into 1 9.019 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.019 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 9.019 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 9.019 * [taylor]: Taking taylor expansion of 1 in K 9.019 * [backup-simplify]: Simplify 1 into 1 9.019 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 9.020 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 9.020 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 9.020 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 9.021 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4) 9.021 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in J 9.021 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 9.021 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 9.021 * [taylor]: Taking taylor expansion of 1/4 in J 9.021 * [backup-simplify]: Simplify 1/4 into 1/4 9.021 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 9.021 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 9.021 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 9.021 * [taylor]: Taking taylor expansion of 1/4 in J 9.021 * [backup-simplify]: Simplify 1/4 into 1/4 9.021 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 9.021 * [taylor]: Taking taylor expansion of (pow U 2) in J 9.021 * [taylor]: Taking taylor expansion of U in J 9.021 * [backup-simplify]: Simplify U into U 9.021 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 9.021 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 9.021 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 9.021 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 9.021 * [taylor]: Taking taylor expansion of 1/2 in J 9.021 * [backup-simplify]: Simplify 1/2 into 1/2 9.021 * [taylor]: Taking taylor expansion of K in J 9.022 * [backup-simplify]: Simplify K into K 9.022 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.022 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.022 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.022 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.022 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.024 * [backup-simplify]: Simplify (- 0) into 0 9.024 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.024 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.024 * [taylor]: Taking taylor expansion of J in J 9.024 * [backup-simplify]: Simplify 0 into 0 9.024 * [backup-simplify]: Simplify 1 into 1 9.025 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.025 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 9.025 * [backup-simplify]: Simplify (* 1 1) into 1 9.025 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 9.026 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 9.026 * [taylor]: Taking taylor expansion of 1 in J 9.026 * [backup-simplify]: Simplify 1 into 1 9.026 * [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))) 9.026 * [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))) 9.026 * [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)))) 9.027 * [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))) 9.027 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) into (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) 9.028 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) 9.028 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in U 9.028 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 9.028 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 9.028 * [taylor]: Taking taylor expansion of 1/4 in U 9.028 * [backup-simplify]: Simplify 1/4 into 1/4 9.028 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 9.028 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 9.028 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 9.028 * [taylor]: Taking taylor expansion of 1/4 in U 9.028 * [backup-simplify]: Simplify 1/4 into 1/4 9.028 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 9.028 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.028 * [taylor]: Taking taylor expansion of U in U 9.028 * [backup-simplify]: Simplify 0 into 0 9.028 * [backup-simplify]: Simplify 1 into 1 9.028 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 9.028 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 9.028 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 9.028 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 9.028 * [taylor]: Taking taylor expansion of 1/2 in U 9.028 * [backup-simplify]: Simplify 1/2 into 1/2 9.028 * [taylor]: Taking taylor expansion of K in U 9.029 * [backup-simplify]: Simplify K into K 9.029 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.029 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.029 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.029 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.029 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.029 * [backup-simplify]: Simplify (- 0) into 0 9.029 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.029 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.030 * [taylor]: Taking taylor expansion of J in U 9.030 * [backup-simplify]: Simplify J into J 9.030 * [backup-simplify]: Simplify (* 1 1) into 1 9.030 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 9.030 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.030 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 9.031 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 9.031 * [taylor]: Taking taylor expansion of 1 in U 9.031 * [backup-simplify]: Simplify 1 into 1 9.031 * [backup-simplify]: Simplify (+ 0 1) into 1 9.032 * [backup-simplify]: Simplify (log 1) into 0 9.032 * [backup-simplify]: Simplify (* 1/4 0) into 0 9.032 * [backup-simplify]: Simplify (+ 0 0) into 0 9.034 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.035 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 9.035 * [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))) 9.035 * [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)))) 9.036 * [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))) 9.037 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 9.037 * [backup-simplify]: Simplify (exp 0) into 1 9.037 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in U 9.037 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 9.037 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 9.037 * [taylor]: Taking taylor expansion of 1/4 in U 9.037 * [backup-simplify]: Simplify 1/4 into 1/4 9.037 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 9.037 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 9.037 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 9.037 * [taylor]: Taking taylor expansion of 1/4 in U 9.037 * [backup-simplify]: Simplify 1/4 into 1/4 9.037 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 9.037 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.037 * [taylor]: Taking taylor expansion of U in U 9.037 * [backup-simplify]: Simplify 0 into 0 9.037 * [backup-simplify]: Simplify 1 into 1 9.037 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 9.037 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 9.037 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 9.037 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 9.037 * [taylor]: Taking taylor expansion of 1/2 in U 9.037 * [backup-simplify]: Simplify 1/2 into 1/2 9.037 * [taylor]: Taking taylor expansion of K in U 9.037 * [backup-simplify]: Simplify K into K 9.037 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.037 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.037 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.038 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.038 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.038 * [backup-simplify]: Simplify (- 0) into 0 9.038 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.038 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.038 * [taylor]: Taking taylor expansion of J in U 9.038 * [backup-simplify]: Simplify J into J 9.038 * [backup-simplify]: Simplify (* 1 1) into 1 9.038 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 9.038 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.038 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 9.038 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 9.039 * [taylor]: Taking taylor expansion of 1 in U 9.039 * [backup-simplify]: Simplify 1 into 1 9.039 * [backup-simplify]: Simplify (+ 0 1) into 1 9.039 * [backup-simplify]: Simplify (log 1) into 0 9.039 * [backup-simplify]: Simplify (* 1/4 0) into 0 9.040 * [backup-simplify]: Simplify (+ 0 0) into 0 9.040 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.041 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 9.041 * [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))) 9.041 * [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)))) 9.042 * [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))) 9.043 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 9.043 * [backup-simplify]: Simplify (exp 0) into 1 9.043 * [taylor]: Taking taylor expansion of 1 in J 9.043 * [backup-simplify]: Simplify 1 into 1 9.043 * [taylor]: Taking taylor expansion of 1 in K 9.043 * [backup-simplify]: Simplify 1 into 1 9.043 * [backup-simplify]: Simplify 1 into 1 9.043 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 9.044 * [taylor]: Taking taylor expansion of 0 in J 9.044 * [backup-simplify]: Simplify 0 into 0 9.044 * [taylor]: Taking taylor expansion of 0 in K 9.044 * [backup-simplify]: Simplify 0 into 0 9.044 * [backup-simplify]: Simplify 0 into 0 9.044 * [taylor]: Taking taylor expansion of 0 in K 9.044 * [backup-simplify]: Simplify 0 into 0 9.044 * [backup-simplify]: Simplify 0 into 0 9.044 * [backup-simplify]: Simplify 0 into 0 9.044 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1)))) into (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 9.044 * [taylor]: Taking taylor expansion of (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 9.044 * [taylor]: Taking taylor expansion of 1/16 in J 9.044 * [backup-simplify]: Simplify 1/16 into 1/16 9.044 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 9.044 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 9.044 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 9.044 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 9.044 * [taylor]: Taking taylor expansion of 1/2 in J 9.044 * [backup-simplify]: Simplify 1/2 into 1/2 9.044 * [taylor]: Taking taylor expansion of K in J 9.045 * [backup-simplify]: Simplify K into K 9.045 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.045 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.045 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.045 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.045 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.045 * [backup-simplify]: Simplify (- 0) into 0 9.045 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.045 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.045 * [taylor]: Taking taylor expansion of J in J 9.045 * [backup-simplify]: Simplify 0 into 0 9.045 * [backup-simplify]: Simplify 1 into 1 9.045 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 9.045 * [backup-simplify]: Simplify (* 1 1) into 1 9.046 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 9.046 * [backup-simplify]: Simplify (/ 1/16 (pow (cos (* 1/2 K)) 2)) into (/ 1/16 (pow (cos (* 1/2 K)) 2)) 9.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.046 * [backup-simplify]: Simplify (+ 0) into 0 9.047 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 9.047 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 9.047 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.048 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 9.048 * [backup-simplify]: Simplify (- 0) into 0 9.048 * [backup-simplify]: Simplify (+ 0 0) into 0 9.048 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 9.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.049 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.050 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.050 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 9.051 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.051 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.051 * [backup-simplify]: Simplify (- 0) into 0 9.052 * [backup-simplify]: Simplify (+ 0 0) into 0 9.052 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 9.052 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 9.053 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 9.053 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/16 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 9.053 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/16 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 9.053 * [taylor]: Taking taylor expansion of 0 in K 9.053 * [backup-simplify]: Simplify 0 into 0 9.053 * [backup-simplify]: Simplify 0 into 0 9.053 * [taylor]: Taking taylor expansion of 0 in K 9.053 * [backup-simplify]: Simplify 0 into 0 9.053 * [backup-simplify]: Simplify 0 into 0 9.053 * [taylor]: Taking taylor expansion of 0 in K 9.053 * [backup-simplify]: Simplify 0 into 0 9.053 * [backup-simplify]: Simplify 0 into 0 9.054 * [backup-simplify]: Simplify 1 into 1 9.054 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ (/ 1 U) (* (+ (/ 1 J) (/ 1 J)) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (+ (/ 1 J) (/ 1 J)) (cos (/ (/ 1 K) 2))))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) 9.054 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in (U J K) around 0 9.054 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in K 9.054 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in K 9.054 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in K 9.054 * [taylor]: Taking taylor expansion of 1/4 in K 9.054 * [backup-simplify]: Simplify 1/4 into 1/4 9.054 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 9.054 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 9.054 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 9.054 * [taylor]: Taking taylor expansion of 1/4 in K 9.054 * [backup-simplify]: Simplify 1/4 into 1/4 9.054 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 9.054 * [taylor]: Taking taylor expansion of (pow J 2) in K 9.054 * [taylor]: Taking taylor expansion of J in K 9.054 * [backup-simplify]: Simplify J into J 9.054 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 9.054 * [taylor]: Taking taylor expansion of (pow U 2) in K 9.054 * [taylor]: Taking taylor expansion of U in K 9.054 * [backup-simplify]: Simplify U into U 9.054 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 9.054 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 9.054 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 9.054 * [taylor]: Taking taylor expansion of 1/2 in K 9.054 * [backup-simplify]: Simplify 1/2 into 1/2 9.054 * [taylor]: Taking taylor expansion of K in K 9.054 * [backup-simplify]: Simplify 0 into 0 9.054 * [backup-simplify]: Simplify 1 into 1 9.055 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.055 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.055 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.055 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.055 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.055 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 9.055 * [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))) 9.055 * [taylor]: Taking taylor expansion of 1 in K 9.055 * [backup-simplify]: Simplify 1 into 1 9.056 * [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)))) 9.056 * [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) 9.056 * [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)) 9.056 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) 9.056 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) 9.056 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in J 9.057 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in J 9.057 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in J 9.057 * [taylor]: Taking taylor expansion of 1/4 in J 9.057 * [backup-simplify]: Simplify 1/4 into 1/4 9.057 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 9.057 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 9.057 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 9.057 * [taylor]: Taking taylor expansion of 1/4 in J 9.057 * [backup-simplify]: Simplify 1/4 into 1/4 9.057 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 9.057 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.057 * [taylor]: Taking taylor expansion of J in J 9.057 * [backup-simplify]: Simplify 0 into 0 9.057 * [backup-simplify]: Simplify 1 into 1 9.057 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 9.057 * [taylor]: Taking taylor expansion of (pow U 2) in J 9.057 * [taylor]: Taking taylor expansion of U in J 9.057 * [backup-simplify]: Simplify U into U 9.057 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 9.057 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 9.057 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 9.057 * [taylor]: Taking taylor expansion of 1/2 in J 9.057 * [backup-simplify]: Simplify 1/2 into 1/2 9.057 * [taylor]: Taking taylor expansion of K in J 9.057 * [backup-simplify]: Simplify K into K 9.057 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.057 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.057 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.057 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.057 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.057 * [backup-simplify]: Simplify (- 0) into 0 9.058 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.058 * [backup-simplify]: Simplify (* 1 1) into 1 9.058 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.058 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.058 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 9.058 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 9.058 * [taylor]: Taking taylor expansion of 1 in J 9.058 * [backup-simplify]: Simplify 1 into 1 9.058 * [backup-simplify]: Simplify (+ 0 1) into 1 9.059 * [backup-simplify]: Simplify (log 1) into 0 9.059 * [backup-simplify]: Simplify (* 1/4 0) into 0 9.059 * [backup-simplify]: Simplify (+ 0 0) into 0 9.061 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.062 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 9.062 * [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))) 9.062 * [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)))) 9.064 * [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))) 9.065 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 9.065 * [backup-simplify]: Simplify (exp 0) into 1 9.065 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in U 9.065 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 9.065 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 9.065 * [taylor]: Taking taylor expansion of 1/4 in U 9.065 * [backup-simplify]: Simplify 1/4 into 1/4 9.065 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 9.065 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 9.066 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 9.066 * [taylor]: Taking taylor expansion of 1/4 in U 9.066 * [backup-simplify]: Simplify 1/4 into 1/4 9.066 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 9.066 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.066 * [taylor]: Taking taylor expansion of J in U 9.066 * [backup-simplify]: Simplify J into J 9.066 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 9.066 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.066 * [taylor]: Taking taylor expansion of U in U 9.066 * [backup-simplify]: Simplify 0 into 0 9.066 * [backup-simplify]: Simplify 1 into 1 9.066 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 9.066 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 9.066 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 9.066 * [taylor]: Taking taylor expansion of 1/2 in U 9.066 * [backup-simplify]: Simplify 1/2 into 1/2 9.066 * [taylor]: Taking taylor expansion of K in U 9.066 * [backup-simplify]: Simplify K into K 9.066 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.066 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.066 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.066 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.066 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.067 * [backup-simplify]: Simplify (- 0) into 0 9.067 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.067 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.068 * [backup-simplify]: Simplify (* 1 1) into 1 9.068 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.068 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 9.068 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 9.068 * [taylor]: Taking taylor expansion of 1 in U 9.068 * [backup-simplify]: Simplify 1 into 1 9.068 * [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))) 9.069 * [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))) 9.069 * [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)))) 9.070 * [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))) 9.070 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 9.070 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 9.070 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in U 9.071 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 9.071 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 9.071 * [taylor]: Taking taylor expansion of 1/4 in U 9.071 * [backup-simplify]: Simplify 1/4 into 1/4 9.071 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 9.071 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 9.071 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 9.071 * [taylor]: Taking taylor expansion of 1/4 in U 9.071 * [backup-simplify]: Simplify 1/4 into 1/4 9.071 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 9.071 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.071 * [taylor]: Taking taylor expansion of J in U 9.071 * [backup-simplify]: Simplify J into J 9.071 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 9.071 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.071 * [taylor]: Taking taylor expansion of U in U 9.071 * [backup-simplify]: Simplify 0 into 0 9.071 * [backup-simplify]: Simplify 1 into 1 9.071 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 9.071 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 9.071 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 9.071 * [taylor]: Taking taylor expansion of 1/2 in U 9.071 * [backup-simplify]: Simplify 1/2 into 1/2 9.071 * [taylor]: Taking taylor expansion of K in U 9.071 * [backup-simplify]: Simplify K into K 9.072 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.072 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.072 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.072 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.072 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.073 * [backup-simplify]: Simplify (- 0) into 0 9.073 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.073 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.073 * [backup-simplify]: Simplify (* 1 1) into 1 9.074 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.074 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 9.074 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 9.074 * [taylor]: Taking taylor expansion of 1 in U 9.074 * [backup-simplify]: Simplify 1 into 1 9.074 * [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))) 9.075 * [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))) 9.075 * [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)))) 9.075 * [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))) 9.076 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 9.076 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 9.076 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 9.076 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 9.076 * [taylor]: Taking taylor expansion of 1/4 in J 9.076 * [backup-simplify]: Simplify 1/4 into 1/4 9.076 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 9.076 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 9.076 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 9.076 * [taylor]: Taking taylor expansion of 1/4 in J 9.076 * [backup-simplify]: Simplify 1/4 into 1/4 9.076 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 9.076 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.077 * [taylor]: Taking taylor expansion of J in J 9.077 * [backup-simplify]: Simplify 0 into 0 9.077 * [backup-simplify]: Simplify 1 into 1 9.077 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 9.077 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 9.077 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 9.077 * [taylor]: Taking taylor expansion of 1/2 in J 9.077 * [backup-simplify]: Simplify 1/2 into 1/2 9.077 * [taylor]: Taking taylor expansion of K in J 9.077 * [backup-simplify]: Simplify K into K 9.077 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.077 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.077 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.077 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.077 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.078 * [backup-simplify]: Simplify (- 0) into 0 9.078 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.078 * [backup-simplify]: Simplify (* 1 1) into 1 9.078 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.078 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 9.079 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 9.079 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 9.079 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 9.079 * [taylor]: Taking taylor expansion of 2 in J 9.079 * [backup-simplify]: Simplify 2 into 2 9.079 * [taylor]: Taking taylor expansion of (log U) in J 9.079 * [taylor]: Taking taylor expansion of U in J 9.079 * [backup-simplify]: Simplify U into U 9.079 * [backup-simplify]: Simplify (log U) into (log U) 9.080 * [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)))) 9.080 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 9.080 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 9.080 * [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))) 9.080 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 9.081 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 9.081 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 9.081 * [taylor]: Taking taylor expansion of (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 9.081 * [taylor]: Taking taylor expansion of 1/4 in K 9.081 * [backup-simplify]: Simplify 1/4 into 1/4 9.081 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 9.081 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) in K 9.081 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 9.081 * [taylor]: Taking taylor expansion of 2 in K 9.081 * [backup-simplify]: Simplify 2 into 2 9.081 * [taylor]: Taking taylor expansion of (log J) in K 9.081 * [taylor]: Taking taylor expansion of J in K 9.081 * [backup-simplify]: Simplify J into J 9.081 * [backup-simplify]: Simplify (log J) into (log J) 9.081 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) in K 9.081 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K 9.081 * [taylor]: Taking taylor expansion of 1/4 in K 9.081 * [backup-simplify]: Simplify 1/4 into 1/4 9.081 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 9.081 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 9.081 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 9.081 * [taylor]: Taking taylor expansion of 1/2 in K 9.081 * [backup-simplify]: Simplify 1/2 into 1/2 9.081 * [taylor]: Taking taylor expansion of K in K 9.081 * [backup-simplify]: Simplify 0 into 0 9.081 * [backup-simplify]: Simplify 1 into 1 9.082 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.082 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.082 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.082 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 9.082 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 9.082 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 9.082 * [taylor]: Taking taylor expansion of 2 in K 9.082 * [backup-simplify]: Simplify 2 into 2 9.082 * [taylor]: Taking taylor expansion of (log U) in K 9.082 * [taylor]: Taking taylor expansion of U in K 9.082 * [backup-simplify]: Simplify U into U 9.082 * [backup-simplify]: Simplify (log U) into (log U) 9.083 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 9.083 * [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)))) 9.083 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 9.083 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 9.083 * [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))) 9.083 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 9.084 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 9.084 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 9.084 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.084 * [backup-simplify]: Simplify (+ 0) into 0 9.085 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.085 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.085 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.085 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.086 * [backup-simplify]: Simplify (- 0) into 0 9.086 * [backup-simplify]: Simplify (+ 0 0) into 0 9.086 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 9.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 9.087 * [backup-simplify]: 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 9.087 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 9.088 * [backup-simplify]: Simplify (+ 0 0) into 0 9.088 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 9.089 * [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))) 9.089 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 9.090 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.090 * [taylor]: Taking taylor expansion of 0 in J 9.090 * [backup-simplify]: Simplify 0 into 0 9.090 * [taylor]: Taking taylor expansion of 0 in K 9.090 * [backup-simplify]: Simplify 0 into 0 9.090 * [backup-simplify]: Simplify 0 into 0 9.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.090 * [backup-simplify]: Simplify (+ 0) into 0 9.091 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.091 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.091 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.091 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.092 * [backup-simplify]: Simplify (- 0) into 0 9.092 * [backup-simplify]: Simplify (+ 0 0) into 0 9.092 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 9.092 * [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 9.093 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 9.093 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 9.094 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 9.094 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 9.094 * [backup-simplify]: Simplify (- 0) into 0 9.094 * [backup-simplify]: Simplify (+ 0 0) into 0 9.095 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 9.095 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.095 * [taylor]: Taking taylor expansion of 0 in K 9.095 * [backup-simplify]: Simplify 0 into 0 9.095 * [backup-simplify]: Simplify 0 into 0 9.096 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 9.096 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 9.096 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 9.097 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 9.097 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 9.097 * [backup-simplify]: Simplify (+ 0 0) into 0 9.098 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 9.098 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 9.098 * [backup-simplify]: Simplify (- 0) into 0 9.099 * [backup-simplify]: Simplify (+ 0 0) into 0 9.099 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 9.100 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.100 * [backup-simplify]: Simplify 0 into 0 9.100 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 9.100 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.101 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.101 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.102 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.102 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.102 * [backup-simplify]: Simplify (- 0) into 0 9.102 * [backup-simplify]: Simplify (+ 0 0) into 0 9.103 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 9.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 9.104 * [backup-simplify]: 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 9.105 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 9.105 * [backup-simplify]: Simplify (+ 0 1) into 1 9.106 * [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))) 9.107 * [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))) 9.107 * [backup-simplify]: Simplify (+ (* 1/4 (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 9.108 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 1) 1)))) into (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) 9.108 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in J 9.108 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in J 9.108 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 9.108 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 9.108 * [taylor]: Taking taylor expansion of 1/4 in J 9.108 * [backup-simplify]: Simplify 1/4 into 1/4 9.108 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 9.108 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 9.108 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 9.108 * [taylor]: Taking taylor expansion of 1/4 in J 9.108 * [backup-simplify]: Simplify 1/4 into 1/4 9.108 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 9.108 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.108 * [taylor]: Taking taylor expansion of J in J 9.108 * [backup-simplify]: Simplify 0 into 0 9.108 * [backup-simplify]: Simplify 1 into 1 9.108 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 9.108 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 9.108 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 9.108 * [taylor]: Taking taylor expansion of 1/2 in J 9.108 * [backup-simplify]: Simplify 1/2 into 1/2 9.108 * [taylor]: Taking taylor expansion of K in J 9.108 * [backup-simplify]: Simplify K into K 9.108 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.108 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.108 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.108 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.108 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.109 * [backup-simplify]: Simplify (- 0) into 0 9.109 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.109 * [backup-simplify]: Simplify (* 1 1) into 1 9.109 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.109 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 9.109 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 9.109 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 9.109 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 9.109 * [taylor]: Taking taylor expansion of 2 in J 9.109 * [backup-simplify]: Simplify 2 into 2 9.109 * [taylor]: Taking taylor expansion of (log U) in J 9.109 * [taylor]: Taking taylor expansion of U in J 9.109 * [backup-simplify]: Simplify U into U 9.109 * [backup-simplify]: Simplify (log U) into (log U) 9.110 * [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)))) 9.110 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 9.110 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 9.110 * [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))) 9.110 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 9.110 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 9.110 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 9.110 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 9.110 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 9.110 * [taylor]: Taking taylor expansion of 1/2 in J 9.111 * [backup-simplify]: Simplify 1/2 into 1/2 9.111 * [taylor]: Taking taylor expansion of K in J 9.111 * [backup-simplify]: Simplify K into K 9.111 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.111 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.111 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.111 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.111 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.111 * [backup-simplify]: Simplify (- 0) into 0 9.111 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.111 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.111 * [taylor]: Taking taylor expansion of J in J 9.111 * [backup-simplify]: Simplify 0 into 0 9.111 * [backup-simplify]: Simplify 1 into 1 9.111 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.112 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 9.112 * [backup-simplify]: Simplify (* 1 1) into 1 9.113 * [backup-simplify]: Simplify (/ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 1) into (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 9.113 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.114 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.114 * [backup-simplify]: Simplify (+ 0) into 0 9.115 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.115 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.116 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.117 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.117 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.117 * [backup-simplify]: Simplify (- 0) into 0 9.118 * [backup-simplify]: Simplify (+ 0 0) into 0 9.118 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.119 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.119 * [backup-simplify]: Simplify (- 0) into 0 9.120 * [backup-simplify]: Simplify (+ 0 0) into 0 9.120 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 9.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.121 * [backup-simplify]: Simplify (+ 0) into 0 9.122 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.122 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.123 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.123 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.123 * [backup-simplify]: Simplify (- 0) into 0 9.124 * [backup-simplify]: Simplify (+ 0 0) into 0 9.124 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 9.124 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 9.125 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 9.126 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 9.127 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 9.127 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 9.127 * [backup-simplify]: Simplify (- 0) into 0 9.128 * [backup-simplify]: Simplify (+ 0 0) into 0 9.129 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 9.130 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.130 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 9.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.132 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.133 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.133 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.134 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.134 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.135 * [backup-simplify]: Simplify (- 0) into 0 9.135 * [backup-simplify]: Simplify (+ 0 0) into 0 9.136 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 9.136 * [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 9.137 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 9.139 * [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 9.140 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 9.141 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 9.141 * [backup-simplify]: Simplify (- 0) into 0 9.141 * [backup-simplify]: Simplify (+ 0 0) into 0 9.142 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 9.143 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.145 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 9.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.146 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 9.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)))) into 0 9.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.148 * [taylor]: Taking taylor expansion of 0 in K 9.148 * [backup-simplify]: Simplify 0 into 0 9.148 * [backup-simplify]: Simplify 0 into 0 9.148 * [taylor]: Taking taylor expansion of 0 in K 9.148 * [backup-simplify]: Simplify 0 into 0 9.148 * [backup-simplify]: Simplify 0 into 0 9.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.149 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.150 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.150 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.150 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.151 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.151 * [backup-simplify]: Simplify (- 0) into 0 9.151 * [backup-simplify]: Simplify (+ 0 0) into 0 9.152 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 9.152 * [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 9.152 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 9.153 * [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 9.154 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 9.155 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 9.155 * [backup-simplify]: Simplify (- 0) into 0 9.155 * [backup-simplify]: Simplify (+ 0 0) into 0 9.156 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 9.157 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.157 * [taylor]: Taking taylor expansion of 0 in K 9.157 * [backup-simplify]: Simplify 0 into 0 9.157 * [backup-simplify]: Simplify 0 into 0 9.157 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log (/ 1 J))) (log (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)))) (* 2 (log (/ 1 U)))))) into (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) 9.158 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ (/ 1 (- U)) (* (+ (/ 1 (- J)) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (+ (/ 1 (- J)) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) 1))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) 9.158 * [approximate]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in (U J K) around 0 9.158 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in K 9.158 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 9.158 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 9.158 * [taylor]: Taking taylor expansion of 1/4 in K 9.158 * [backup-simplify]: Simplify 1/4 into 1/4 9.158 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 9.158 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 9.158 * [taylor]: Taking taylor expansion of 1 in K 9.158 * [backup-simplify]: Simplify 1 into 1 9.158 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 9.158 * [taylor]: Taking taylor expansion of 1/4 in K 9.158 * [backup-simplify]: Simplify 1/4 into 1/4 9.158 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 9.158 * [taylor]: Taking taylor expansion of (pow J 2) in K 9.158 * [taylor]: Taking taylor expansion of J in K 9.158 * [backup-simplify]: Simplify J into J 9.158 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 9.158 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 9.158 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 9.158 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 9.158 * [taylor]: Taking taylor expansion of -1/2 in K 9.158 * [backup-simplify]: Simplify -1/2 into -1/2 9.158 * [taylor]: Taking taylor expansion of K in K 9.158 * [backup-simplify]: Simplify 0 into 0 9.158 * [backup-simplify]: Simplify 1 into 1 9.158 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.158 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.159 * [taylor]: Taking taylor expansion of (pow U 2) in K 9.159 * [taylor]: Taking taylor expansion of U in K 9.159 * [backup-simplify]: Simplify U into U 9.159 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.159 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.159 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.159 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 9.159 * [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))) 9.159 * [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)))) 9.159 * [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))))) 9.159 * [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)))))) 9.160 * [backup-simplify]: Simplify (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 9.160 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) 9.160 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in J 9.160 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 9.160 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 9.160 * [taylor]: Taking taylor expansion of 1/4 in J 9.160 * [backup-simplify]: Simplify 1/4 into 1/4 9.160 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 9.160 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 9.160 * [taylor]: Taking taylor expansion of 1 in J 9.160 * [backup-simplify]: Simplify 1 into 1 9.160 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 9.160 * [taylor]: Taking taylor expansion of 1/4 in J 9.160 * [backup-simplify]: Simplify 1/4 into 1/4 9.160 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 9.160 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.160 * [taylor]: Taking taylor expansion of J in J 9.160 * [backup-simplify]: Simplify 0 into 0 9.160 * [backup-simplify]: Simplify 1 into 1 9.160 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 9.160 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 9.160 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 9.160 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 9.160 * [taylor]: Taking taylor expansion of -1/2 in J 9.160 * [backup-simplify]: Simplify -1/2 into -1/2 9.160 * [taylor]: Taking taylor expansion of K in J 9.160 * [backup-simplify]: Simplify K into K 9.160 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.160 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.160 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.161 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.161 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.161 * [backup-simplify]: Simplify (- 0) into 0 9.161 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.161 * [taylor]: Taking taylor expansion of (pow U 2) in J 9.161 * [taylor]: Taking taylor expansion of U in J 9.161 * [backup-simplify]: Simplify U into U 9.161 * [backup-simplify]: Simplify (* 1 1) into 1 9.161 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.161 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.161 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 9.162 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 9.162 * [backup-simplify]: Simplify (+ 1 0) into 1 9.162 * [backup-simplify]: Simplify (log 1) into 0 9.162 * [backup-simplify]: Simplify (* 1/4 0) into 0 9.163 * [backup-simplify]: Simplify (+ 0 0) into 0 9.163 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.164 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 9.164 * [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))) 9.164 * [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)))) 9.165 * [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))) 9.166 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 9.166 * [backup-simplify]: Simplify (exp 0) into 1 9.166 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in U 9.166 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 9.166 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 9.166 * [taylor]: Taking taylor expansion of 1/4 in U 9.166 * [backup-simplify]: Simplify 1/4 into 1/4 9.166 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 9.166 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 9.166 * [taylor]: Taking taylor expansion of 1 in U 9.166 * [backup-simplify]: Simplify 1 into 1 9.166 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 9.166 * [taylor]: Taking taylor expansion of 1/4 in U 9.166 * [backup-simplify]: Simplify 1/4 into 1/4 9.166 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 9.166 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.166 * [taylor]: Taking taylor expansion of J in U 9.166 * [backup-simplify]: Simplify J into J 9.166 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 9.166 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 9.166 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 9.166 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 9.166 * [taylor]: Taking taylor expansion of -1/2 in U 9.166 * [backup-simplify]: Simplify -1/2 into -1/2 9.166 * [taylor]: Taking taylor expansion of K in U 9.166 * [backup-simplify]: Simplify K into K 9.166 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.166 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.166 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.166 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.166 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.166 * [backup-simplify]: Simplify (- 0) into 0 9.167 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.167 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.167 * [taylor]: Taking taylor expansion of U in U 9.167 * [backup-simplify]: Simplify 0 into 0 9.167 * [backup-simplify]: Simplify 1 into 1 9.167 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.167 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.167 * [backup-simplify]: Simplify (* 1 1) into 1 9.167 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 9.167 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 9.167 * [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))) 9.167 * [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))) 9.168 * [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)))) 9.168 * [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))) 9.168 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 9.168 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 9.168 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in U 9.168 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 9.168 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 9.168 * [taylor]: Taking taylor expansion of 1/4 in U 9.168 * [backup-simplify]: Simplify 1/4 into 1/4 9.168 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 9.168 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 9.168 * [taylor]: Taking taylor expansion of 1 in U 9.168 * [backup-simplify]: Simplify 1 into 1 9.168 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 9.169 * [taylor]: Taking taylor expansion of 1/4 in U 9.169 * [backup-simplify]: Simplify 1/4 into 1/4 9.169 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 9.169 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.169 * [taylor]: Taking taylor expansion of J in U 9.169 * [backup-simplify]: Simplify J into J 9.169 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 9.169 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 9.169 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 9.169 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 9.169 * [taylor]: Taking taylor expansion of -1/2 in U 9.169 * [backup-simplify]: Simplify -1/2 into -1/2 9.169 * [taylor]: Taking taylor expansion of K in U 9.169 * [backup-simplify]: Simplify K into K 9.169 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.169 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.169 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.169 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.169 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.169 * [backup-simplify]: Simplify (- 0) into 0 9.169 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.169 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.169 * [taylor]: Taking taylor expansion of U in U 9.169 * [backup-simplify]: Simplify 0 into 0 9.169 * [backup-simplify]: Simplify 1 into 1 9.169 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.169 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.170 * [backup-simplify]: Simplify (* 1 1) into 1 9.170 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 9.170 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 9.170 * [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))) 9.170 * [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))) 9.170 * [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)))) 9.171 * [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))) 9.171 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 9.171 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 9.171 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 9.171 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 9.171 * [taylor]: Taking taylor expansion of 1/4 in J 9.171 * [backup-simplify]: Simplify 1/4 into 1/4 9.171 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 9.171 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 9.171 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 9.171 * [taylor]: Taking taylor expansion of 1/4 in J 9.171 * [backup-simplify]: Simplify 1/4 into 1/4 9.171 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 9.171 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.171 * [taylor]: Taking taylor expansion of J in J 9.171 * [backup-simplify]: Simplify 0 into 0 9.171 * [backup-simplify]: Simplify 1 into 1 9.171 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 9.171 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 9.171 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 9.171 * [taylor]: Taking taylor expansion of -1/2 in J 9.171 * [backup-simplify]: Simplify -1/2 into -1/2 9.172 * [taylor]: Taking taylor expansion of K in J 9.172 * [backup-simplify]: Simplify K into K 9.172 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.172 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.172 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.172 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.172 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.172 * [backup-simplify]: Simplify (- 0) into 0 9.172 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.173 * [backup-simplify]: Simplify (* 1 1) into 1 9.173 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.173 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 9.173 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 9.173 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 9.174 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 9.174 * [taylor]: Taking taylor expansion of 2 in J 9.174 * [backup-simplify]: Simplify 2 into 2 9.174 * [taylor]: Taking taylor expansion of (log U) in J 9.174 * [taylor]: Taking taylor expansion of U in J 9.174 * [backup-simplify]: Simplify U into U 9.174 * [backup-simplify]: Simplify (log U) into (log U) 9.174 * [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)))) 9.174 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 9.174 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 9.175 * [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))) 9.175 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 9.175 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 9.176 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 9.176 * [taylor]: Taking taylor expansion of (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 9.176 * [taylor]: Taking taylor expansion of 1/4 in K 9.176 * [backup-simplify]: Simplify 1/4 into 1/4 9.176 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 9.176 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) in K 9.176 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 9.176 * [taylor]: Taking taylor expansion of 2 in K 9.176 * [backup-simplify]: Simplify 2 into 2 9.176 * [taylor]: Taking taylor expansion of (log J) in K 9.176 * [taylor]: Taking taylor expansion of J in K 9.176 * [backup-simplify]: Simplify J into J 9.176 * [backup-simplify]: Simplify (log J) into (log J) 9.176 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) in K 9.176 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K 9.176 * [taylor]: Taking taylor expansion of 1/4 in K 9.176 * [backup-simplify]: Simplify 1/4 into 1/4 9.176 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 9.176 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 9.176 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 9.176 * [taylor]: Taking taylor expansion of -1/2 in K 9.176 * [backup-simplify]: Simplify -1/2 into -1/2 9.176 * [taylor]: Taking taylor expansion of K in K 9.176 * [backup-simplify]: Simplify 0 into 0 9.176 * [backup-simplify]: Simplify 1 into 1 9.177 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.177 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.177 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.177 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 9.177 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 9.177 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 9.177 * [taylor]: Taking taylor expansion of 2 in K 9.177 * [backup-simplify]: Simplify 2 into 2 9.177 * [taylor]: Taking taylor expansion of (log U) in K 9.177 * [taylor]: Taking taylor expansion of U in K 9.177 * [backup-simplify]: Simplify U into U 9.178 * [backup-simplify]: Simplify (log U) into (log U) 9.178 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 9.178 * [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)))) 9.178 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 9.178 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 9.178 * [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))) 9.179 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 9.179 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 9.179 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 9.179 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.181 * [backup-simplify]: Simplify (+ 0) into 0 9.181 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 9.181 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 9.182 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.182 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 9.182 * [backup-simplify]: Simplify (- 0) into 0 9.183 * [backup-simplify]: Simplify (+ 0 0) into 0 9.183 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 9.183 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 9.183 * [backup-simplify]: 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 9.184 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 9.184 * [backup-simplify]: Simplify (+ 0 0) into 0 9.184 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 9.185 * [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))) 9.186 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 9.187 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.187 * [taylor]: Taking taylor expansion of 0 in J 9.187 * [backup-simplify]: Simplify 0 into 0 9.187 * [taylor]: Taking taylor expansion of 0 in K 9.187 * [backup-simplify]: Simplify 0 into 0 9.187 * [backup-simplify]: Simplify 0 into 0 9.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.188 * [backup-simplify]: Simplify (+ 0) into 0 9.189 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 9.189 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 9.190 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.190 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 9.191 * [backup-simplify]: Simplify (- 0) into 0 9.191 * [backup-simplify]: Simplify (+ 0 0) into 0 9.191 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 9.191 * [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 9.192 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 9.193 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 9.194 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 9.194 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 9.195 * [backup-simplify]: Simplify (- 0) into 0 9.195 * [backup-simplify]: Simplify (+ 0 0) into 0 9.196 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 9.197 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.197 * [taylor]: Taking taylor expansion of 0 in K 9.197 * [backup-simplify]: Simplify 0 into 0 9.197 * [backup-simplify]: Simplify 0 into 0 9.198 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 9.198 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 9.198 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 9.199 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 9.200 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 9.200 * [backup-simplify]: Simplify (+ 0 0) into 0 9.201 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 9.201 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 9.202 * [backup-simplify]: Simplify (- 0) into 0 9.202 * [backup-simplify]: Simplify (+ 0 0) into 0 9.203 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 9.204 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.204 * [backup-simplify]: Simplify 0 into 0 9.205 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 9.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.206 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.207 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.207 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.208 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.209 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.209 * [backup-simplify]: Simplify (- 0) into 0 9.210 * [backup-simplify]: Simplify (+ 0 0) into 0 9.210 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 9.211 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 9.212 * [backup-simplify]: 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 9.213 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 9.213 * [backup-simplify]: Simplify (+ 1 0) into 1 9.215 * [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))) 9.216 * [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))) 9.217 * [backup-simplify]: Simplify (+ (* 1/4 (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 9.218 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 1) 1)))) into (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) 9.218 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in J 9.218 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in J 9.218 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 9.218 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 9.219 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 9.219 * [taylor]: Taking taylor expansion of -1/2 in J 9.219 * [backup-simplify]: Simplify -1/2 into -1/2 9.219 * [taylor]: Taking taylor expansion of K in J 9.219 * [backup-simplify]: Simplify K into K 9.219 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.219 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.219 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.219 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.219 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.219 * [backup-simplify]: Simplify (- 0) into 0 9.219 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.220 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 9.220 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 9.220 * [taylor]: Taking taylor expansion of 1/4 in J 9.220 * [backup-simplify]: Simplify 1/4 into 1/4 9.220 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 9.220 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 9.220 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 9.220 * [taylor]: Taking taylor expansion of 1/4 in J 9.220 * [backup-simplify]: Simplify 1/4 into 1/4 9.220 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 9.220 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.220 * [taylor]: Taking taylor expansion of J in J 9.220 * [backup-simplify]: Simplify 0 into 0 9.220 * [backup-simplify]: Simplify 1 into 1 9.220 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 9.220 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 9.220 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 9.220 * [taylor]: Taking taylor expansion of -1/2 in J 9.220 * [backup-simplify]: Simplify -1/2 into -1/2 9.220 * [taylor]: Taking taylor expansion of K in J 9.220 * [backup-simplify]: Simplify K into K 9.220 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.220 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.220 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.220 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.220 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.221 * [backup-simplify]: Simplify (- 0) into 0 9.221 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.221 * [backup-simplify]: Simplify (* 1 1) into 1 9.221 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.222 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 9.222 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 9.222 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 9.222 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 9.222 * [taylor]: Taking taylor expansion of 2 in J 9.222 * [backup-simplify]: Simplify 2 into 2 9.222 * [taylor]: Taking taylor expansion of (log U) in J 9.222 * [taylor]: Taking taylor expansion of U in J 9.222 * [backup-simplify]: Simplify U into U 9.222 * [backup-simplify]: Simplify (log U) into (log U) 9.223 * [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)))) 9.223 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 9.223 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 9.223 * [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))) 9.223 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 9.224 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 9.224 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.224 * [taylor]: Taking taylor expansion of J in J 9.224 * [backup-simplify]: Simplify 0 into 0 9.224 * [backup-simplify]: Simplify 1 into 1 9.224 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.224 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 9.225 * [backup-simplify]: Simplify (* 1 1) into 1 9.225 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 1) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 9.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.226 * [backup-simplify]: Simplify (+ 0) into 0 9.227 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 9.227 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 9.228 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.228 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 9.228 * [backup-simplify]: Simplify (- 0) into 0 9.229 * [backup-simplify]: Simplify (+ 0 0) into 0 9.229 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 9.229 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 9.230 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 9.231 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 9.231 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 9.232 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 9.232 * [backup-simplify]: Simplify (- 0) into 0 9.232 * [backup-simplify]: Simplify (+ 0 0) into 0 9.233 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 9.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.235 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.236 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.236 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.236 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.237 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.237 * [backup-simplify]: Simplify (- 0) into 0 9.238 * [backup-simplify]: Simplify (+ 0 0) into 0 9.238 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 9.239 * [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 9.239 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 9.241 * [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 9.244 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 9.245 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 9.245 * [backup-simplify]: Simplify (- 0) into 0 9.246 * [backup-simplify]: Simplify (+ 0 0) into 0 9.247 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 9.248 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.249 * [backup-simplify]: Simplify (+ 0) into 0 9.249 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 9.249 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 9.250 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.250 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 9.251 * [backup-simplify]: Simplify (- 0) into 0 9.251 * [backup-simplify]: Simplify (+ 0 0) into 0 9.251 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 9.252 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.253 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.254 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.254 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.255 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.255 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.256 * [backup-simplify]: Simplify (- 0) into 0 9.256 * [backup-simplify]: Simplify (+ 0 0) into 0 9.257 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 9.258 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))))) into 0 9.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.259 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))) into 0 9.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)))) into 0 9.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.262 * [taylor]: Taking taylor expansion of 0 in K 9.262 * [backup-simplify]: Simplify 0 into 0 9.262 * [backup-simplify]: Simplify 0 into 0 9.262 * [taylor]: Taking taylor expansion of 0 in K 9.262 * [backup-simplify]: Simplify 0 into 0 9.262 * [backup-simplify]: Simplify 0 into 0 9.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.264 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.265 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.265 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.266 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.266 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.266 * [backup-simplify]: Simplify (- 0) into 0 9.267 * [backup-simplify]: Simplify (+ 0 0) into 0 9.267 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 9.268 * [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 9.268 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 9.269 * [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 9.272 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 9.272 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 9.273 * [backup-simplify]: Simplify (- 0) into 0 9.273 * [backup-simplify]: Simplify (+ 0 0) into 0 9.273 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 9.274 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.274 * [taylor]: Taking taylor expansion of 0 in K 9.274 * [backup-simplify]: Simplify 0 into 0 9.274 * [backup-simplify]: Simplify 0 into 0 9.275 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log (/ 1 (- J)))) (log (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)))) (* 2 (log (/ 1 (- U))))))) into (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 9.275 * * * [progress]: simplifying candidates 9.275 * * * * [progress]: [ 1 / 82 ] simplifiying candidate # 9.275 * * * * [progress]: [ 2 / 82 ] simplifiying candidate # 9.275 * * * * [progress]: [ 3 / 82 ] simplifiying candidate # 9.275 * * * * [progress]: [ 4 / 82 ] simplifiying candidate # 9.275 * * * * [progress]: [ 5 / 82 ] simplifiying candidate # 9.275 * * * * [progress]: [ 6 / 82 ] simplifiying candidate # 9.275 * * * * [progress]: [ 7 / 82 ] simplifiying candidate # 9.275 * * * * [progress]: [ 8 / 82 ] simplifiying candidate # 9.275 * * * * [progress]: [ 9 / 82 ] simplifiying candidate # 9.275 * * * * [progress]: [ 10 / 82 ] simplifiying candidate # 9.275 * * * * [progress]: [ 11 / 82 ] simplifiying candidate # 9.275 * * * * [progress]: [ 12 / 82 ] simplifiying candidate # 9.276 * * * * [progress]: [ 13 / 82 ] simplifiying candidate # 9.276 * * * * [progress]: [ 14 / 82 ] simplifiying candidate # 9.276 * * * * [progress]: [ 15 / 82 ] simplifiying candidate # 9.276 * * * * [progress]: [ 16 / 82 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))))))) (* (cos (/ K 2)) (* -2 J)))))> 9.276 * * * * [progress]: [ 17 / 82 ] simplifiying candidate # 9.276 * * * * [progress]: [ 18 / 82 ] simplifiying candidate # 9.276 * * * * [progress]: [ 19 / 82 ] simplifiying candidate # 9.276 * * * * [progress]: [ 20 / 82 ] simplifiying candidate # 9.276 * * * * [progress]: [ 21 / 82 ] simplifiying candidate # 9.276 * * * * [progress]: [ 22 / 82 ] simplifiying candidate # 9.276 * * * * [progress]: [ 23 / 82 ] simplifiying candidate # 9.276 * * * * [progress]: [ 24 / 82 ] simplifiying candidate # 9.276 * * * * [progress]: [ 25 / 82 ] simplifiying candidate # 9.276 * * * * [progress]: [ 26 / 82 ] simplifiying candidate # 9.276 * * * * [progress]: [ 27 / 82 ] simplifiying candidate # 9.276 * * * * [progress]: [ 28 / 82 ] simplifiying candidate # 9.276 * * * * [progress]: [ 29 / 82 ] simplifiying candidate # 9.276 * * * * [progress]: [ 30 / 82 ] simplifiying candidate # 9.276 * * * * [progress]: [ 31 / 82 ] simplifiying candidate # 9.276 * * * * [progress]: [ 32 / 82 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))))) (sqrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))> 9.277 * * * * [progress]: [ 33 / 82 ] simplifiying candidate # 9.277 * * * * [progress]: [ 34 / 82 ] simplifiying candidate # 9.277 * * * * [progress]: [ 35 / 82 ] simplifiying candidate # 9.277 * * * * [progress]: [ 36 / 82 ] simplifiying candidate # 9.277 * * * * [progress]: [ 37 / 82 ] simplifiying candidate # 9.277 * * * * [progress]: [ 38 / 82 ] simplifiying candidate # 9.277 * * * * [progress]: [ 39 / 82 ] simplifiying candidate # 9.277 * * * * [progress]: [ 40 / 82 ] simplifiying candidate # 9.277 * * * * [progress]: [ 41 / 82 ] simplifiying candidate # 9.277 * * * * [progress]: [ 42 / 82 ] simplifiying candidate # 9.277 * * * * [progress]: [ 43 / 82 ] simplifiying candidate # 9.277 * * * * [progress]: [ 44 / 82 ] simplifiying candidate # 9.277 * * * * [progress]: [ 45 / 82 ] simplifiying candidate # 9.277 * * * * [progress]: [ 46 / 82 ] simplifiying candidate # 9.277 * * * * [progress]: [ 47 / 82 ] simplifiying candidate # 9.277 * * * * [progress]: [ 48 / 82 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))))) (* (* (sqrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))> 9.277 * * * * [progress]: [ 49 / 82 ] simplifiying candidate # 9.277 * * * * [progress]: [ 50 / 82 ] simplifiying candidate # 9.277 * * * * [progress]: [ 51 / 82 ] simplifiying candidate # 9.278 * * * * [progress]: [ 52 / 82 ] simplifiying candidate # 9.278 * * * * [progress]: [ 53 / 82 ] simplifiying candidate # 9.278 * * * * [progress]: [ 54 / 82 ] simplifiying candidate # 9.278 * * * * [progress]: [ 55 / 82 ] simplifiying candidate # 9.278 * * * * [progress]: [ 56 / 82 ] simplifiying candidate # 9.278 * * * * [progress]: [ 57 / 82 ] simplifiying candidate # 9.278 * * * * [progress]: [ 58 / 82 ] simplifiying candidate # 9.278 * * * * [progress]: [ 59 / 82 ] simplifiying candidate # 9.278 * * * * [progress]: [ 60 / 82 ] simplifiying candidate # 9.278 * * * * [progress]: [ 61 / 82 ] simplifiying candidate # 9.278 * * * * [progress]: [ 62 / 82 ] simplifiying candidate # 9.278 * * * * [progress]: [ 63 / 82 ] simplifiying candidate # 9.278 * * * * [progress]: [ 64 / 82 ] simplifiying candidate # 9.278 * * * * [progress]: [ 65 / 82 ] simplifiying candidate # 9.278 * * * * [progress]: [ 66 / 82 ] simplifiying candidate # 9.278 * * * * [progress]: [ 67 / 82 ] simplifiying candidate # 9.278 * * * * [progress]: [ 68 / 82 ] simplifiying candidate # 9.278 * * * * [progress]: [ 69 / 82 ] simplifiying candidate # 9.278 * * * * [progress]: [ 70 / 82 ] simplifiying candidate #real (real->posit16 (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))))))) (* (cos (/ K 2)) (* -2 J)))))> 9.278 * * * * [progress]: [ 71 / 82 ] simplifiying candidate # 9.279 * * * * [progress]: [ 72 / 82 ] simplifiying candidate # 9.279 * * * * [progress]: [ 73 / 82 ] simplifiying candidate # 9.279 * * * * [progress]: [ 74 / 82 ] simplifiying candidate # 9.279 * * * * [progress]: [ 75 / 82 ] simplifiying candidate # 9.279 * * * * [progress]: [ 76 / 82 ] simplifiying candidate # 9.279 * * * * [progress]: [ 77 / 82 ] simplifiying candidate # 9.279 * * * * [progress]: [ 78 / 82 ] simplifiying candidate # 9.279 * * * * [progress]: [ 79 / 82 ] simplifiying candidate # 9.279 * * * * [progress]: [ 80 / 82 ] simplifiying candidate # 9.279 * * * * [progress]: [ 81 / 82 ] simplifiying candidate # 9.279 * * * * [progress]: [ 82 / 82 ] simplifiying candidate # 9.280 * [simplify]: Simplifying: (log (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (exp (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (* (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (* (* (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (* (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (sqrt (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt 1) (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (sqrt (+ (pow (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (sqrt (- (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2)))))) (* 1 1))) (sqrt (- (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (/ 1 2) (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (real->posit16 (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (log (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (exp (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (* (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (* (* (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (* (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (sqrt (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt 1) (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (sqrt (+ (pow (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (sqrt (- (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2)))))) (* 1 1))) (sqrt (- (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (/ 1 2) (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (real->posit16 (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (log (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (exp (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (* (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (* (* (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (* (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (sqrt (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt 1) (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (sqrt (+ (pow (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (sqrt (- (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2)))))) (* 1 1))) (sqrt (- (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (/ 1 2) (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (real->posit16 (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (log (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (exp (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (* (cbrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (cbrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))))) (cbrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (* (* (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (sqrt (* (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))))) (sqrt (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (sqrt (sqrt (* (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))))) (sqrt (sqrt (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (sqrt (sqrt 1)) (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (sqrt 1) (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (pow (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 3) (pow 1 3)))) (sqrt (sqrt (+ (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))))) (sqrt (sqrt (- (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2)))))) (* 1 1)))) (sqrt (sqrt (- (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (real->posit16 (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 1 (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 9.282 * * [simplify]: iteration 1: (92 enodes) 9.320 * * [simplify]: iteration 2: (348 enodes) 9.413 * * [simplify]: iteration 3: (702 enodes) 9.707 * * [simplify]: Extracting #0: cost 35 inf + 0 9.708 * * [simplify]: Extracting #1: cost 136 inf + 3 9.709 * * [simplify]: Extracting #2: cost 350 inf + 347 9.720 * * [simplify]: Extracting #3: cost 646 inf + 1862 9.737 * * [simplify]: Extracting #4: cost 617 inf + 33741 9.779 * * [simplify]: Extracting #5: cost 355 inf + 112590 9.824 * * [simplify]: Extracting #6: cost 160 inf + 181488 9.897 * * [simplify]: Extracting #7: cost 22 inf + 235390 9.972 * * [simplify]: Extracting #8: cost 0 inf + 245666 10.050 * [simplify]: Simplified to: (log (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (exp (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (* (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1)))) (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (* (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1) (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (fabs (cbrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (sqrt (cbrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) 1 (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1)) (sqrt (+ (* (* (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (* (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (/ (/ U (+ J J)) (cos (* 1/2 K))))) 1)) (sqrt (+ (* (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K))))) (- 1 (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K))))))) (sqrt (+ -1 (* (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K))))))) (sqrt (+ -1 (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))))) 1/2 (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (real->posit16 (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (log (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (exp (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (* (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1)))) (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (* (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1) (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (fabs (cbrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (sqrt (cbrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) 1 (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1)) (sqrt (+ (* (* (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (* (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (/ (/ U (+ J J)) (cos (* 1/2 K))))) 1)) (sqrt (+ (* (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K))))) (- 1 (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K))))))) (sqrt (+ -1 (* (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K))))))) (sqrt (+ -1 (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))))) 1/2 (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (real->posit16 (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (log (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (exp (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (* (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1)))) (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (* (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1) (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (fabs (cbrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (sqrt (cbrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) 1 (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1)) (sqrt (+ (* (* (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (* (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (/ (/ U (+ J J)) (cos (* 1/2 K))))) 1)) (sqrt (+ (* (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K))))) (- 1 (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K))))))) (sqrt (+ -1 (* (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K))))))) (sqrt (+ -1 (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))))) 1/2 (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (real->posit16 (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (log (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1)))) (exp (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1)))) (* (cbrt (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1)))) (cbrt (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))))) (cbrt (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1)))) (* (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (fabs (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1)))) (sqrt (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1)))) (sqrt (fabs (cbrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1)))) (sqrt (sqrt (cbrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1)))) 1 (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (sqrt (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1)))) 1 (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (sqrt (sqrt (+ (* (* (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (* (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (/ (/ U (+ J J)) (cos (* 1/2 K))))) 1))) (sqrt (sqrt (+ (* (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K))))) (- 1 (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))))))) (sqrt (sqrt (+ -1 (* (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))))))) (sqrt (sqrt (+ -1 (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K))))))) 1/4 1/2 1/4 (sqrt (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1)))) (real->posit16 (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1)))) 1 (* (/ 1/2 (* (cos (* 1/2 K)) J)) U) (* (/ 1/2 (* (cos (* 1/2 K)) J)) U) 1 (* (/ 1/2 (* (cos (* 1/2 K)) J)) U) (* (/ 1/2 (* (cos (* 1/2 K)) J)) U) 1 (* (/ 1/2 (* (cos (* 1/2 K)) J)) U) (* (/ 1/2 (* (cos (* 1/2 K)) J)) U) 1 (exp (+ (* 1/2 (+ (- (log J)) (log U))) (* 1/4 (log (/ (/ 1/4 (cos (* 1/2 K))) (cos (* 1/2 K))))))) (exp (+ (* (log (/ (/ 1/4 (cos (* 1/2 K))) (cos (* 1/2 K)))) 1/4) (* 1/2 (- (log (/ -1 J)) (log (/ -1 U)))))) 10.089 * * * [progress]: adding candidates to table 11.752 * * [progress]: iteration 4 / 4 11.752 * * * [progress]: picking best candidate 11.775 * * * * [pick]: Picked # 11.775 * * * [progress]: localizing error 11.865 * * * [progress]: generating rewritten candidates 11.865 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 11.984 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 12.057 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2 1) 12.138 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1) 12.233 * * * [progress]: generating series expansions 12.233 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 12.234 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 12.234 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0 12.234 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 12.234 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 12.234 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 12.234 * [taylor]: Taking taylor expansion of 1/4 in K 12.234 * [backup-simplify]: Simplify 1/4 into 1/4 12.234 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 12.234 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.234 * [taylor]: Taking taylor expansion of U in K 12.234 * [backup-simplify]: Simplify U into U 12.234 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 12.234 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 12.234 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 12.234 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 12.234 * [taylor]: Taking taylor expansion of 1/2 in K 12.234 * [backup-simplify]: Simplify 1/2 into 1/2 12.234 * [taylor]: Taking taylor expansion of K in K 12.234 * [backup-simplify]: Simplify 0 into 0 12.234 * [backup-simplify]: Simplify 1 into 1 12.235 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.236 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.236 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.236 * [taylor]: Taking taylor expansion of J in K 12.236 * [backup-simplify]: Simplify J into J 12.236 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.236 * [backup-simplify]: Simplify (* 1 1) into 1 12.236 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.237 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 12.237 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 12.237 * [taylor]: Taking taylor expansion of 1 in K 12.237 * [backup-simplify]: Simplify 1 into 1 12.237 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 12.237 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 12.237 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 12.237 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.237 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.238 * [backup-simplify]: Simplify (+ 0) into 0 12.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 12.240 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 12.240 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 12.241 * [backup-simplify]: Simplify (+ 0 0) into 0 12.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 12.241 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 12.241 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 12.241 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 12.241 * [taylor]: Taking taylor expansion of 1/4 in J 12.241 * [backup-simplify]: Simplify 1/4 into 1/4 12.241 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 12.241 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.241 * [taylor]: Taking taylor expansion of U in J 12.242 * [backup-simplify]: Simplify U into U 12.242 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 12.242 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 12.242 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 12.242 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 12.242 * [taylor]: Taking taylor expansion of 1/2 in J 12.242 * [backup-simplify]: Simplify 1/2 into 1/2 12.242 * [taylor]: Taking taylor expansion of K in J 12.242 * [backup-simplify]: Simplify K into K 12.242 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.242 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.242 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.242 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.242 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.243 * [backup-simplify]: Simplify (- 0) into 0 12.243 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.243 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.243 * [taylor]: Taking taylor expansion of J in J 12.243 * [backup-simplify]: Simplify 0 into 0 12.243 * [backup-simplify]: Simplify 1 into 1 12.243 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.243 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.243 * [backup-simplify]: Simplify (* 1 1) into 1 12.243 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 12.244 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 12.244 * [taylor]: Taking taylor expansion of 1 in J 12.244 * [backup-simplify]: Simplify 1 into 1 12.244 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 12.244 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 12.244 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 12.245 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.246 * [backup-simplify]: Simplify (+ 0) into 0 12.246 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 12.247 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 12.247 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.248 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 12.248 * [backup-simplify]: Simplify (- 0) into 0 12.249 * [backup-simplify]: Simplify (+ 0 0) into 0 12.249 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 12.249 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 12.250 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 12.250 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 12.251 * [backup-simplify]: Simplify (+ 0 0) into 0 12.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 12.251 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 12.251 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 12.251 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 12.251 * [taylor]: Taking taylor expansion of 1/4 in U 12.251 * [backup-simplify]: Simplify 1/4 into 1/4 12.251 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 12.251 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.251 * [taylor]: Taking taylor expansion of U in U 12.251 * [backup-simplify]: Simplify 0 into 0 12.251 * [backup-simplify]: Simplify 1 into 1 12.251 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 12.251 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 12.251 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 12.251 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 12.252 * [taylor]: Taking taylor expansion of 1/2 in U 12.252 * [backup-simplify]: Simplify 1/2 into 1/2 12.252 * [taylor]: Taking taylor expansion of K in U 12.252 * [backup-simplify]: Simplify K into K 12.252 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.252 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.252 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.252 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.252 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.252 * [backup-simplify]: Simplify (- 0) into 0 12.252 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.252 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.252 * [taylor]: Taking taylor expansion of J in U 12.253 * [backup-simplify]: Simplify J into J 12.253 * [backup-simplify]: Simplify (* 1 1) into 1 12.253 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.253 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.253 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 12.253 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.253 * [taylor]: Taking taylor expansion of 1 in U 12.254 * [backup-simplify]: Simplify 1 into 1 12.254 * [backup-simplify]: Simplify (+ 0 1) into 1 12.254 * [backup-simplify]: Simplify (sqrt 1) into 1 12.255 * [backup-simplify]: Simplify (+ 0 0) into 0 12.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.255 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 12.256 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 12.256 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 12.256 * [taylor]: Taking taylor expansion of 1/4 in U 12.256 * [backup-simplify]: Simplify 1/4 into 1/4 12.256 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 12.256 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.256 * [taylor]: Taking taylor expansion of U in U 12.256 * [backup-simplify]: Simplify 0 into 0 12.256 * [backup-simplify]: Simplify 1 into 1 12.256 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 12.256 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 12.256 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 12.256 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 12.256 * [taylor]: Taking taylor expansion of 1/2 in U 12.256 * [backup-simplify]: Simplify 1/2 into 1/2 12.256 * [taylor]: Taking taylor expansion of K in U 12.256 * [backup-simplify]: Simplify K into K 12.256 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.256 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.256 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.256 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.256 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.257 * [backup-simplify]: Simplify (- 0) into 0 12.257 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.257 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.257 * [taylor]: Taking taylor expansion of J in U 12.257 * [backup-simplify]: Simplify J into J 12.257 * [backup-simplify]: Simplify (* 1 1) into 1 12.257 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.258 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.258 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 12.258 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.258 * [taylor]: Taking taylor expansion of 1 in U 12.258 * [backup-simplify]: Simplify 1 into 1 12.258 * [backup-simplify]: Simplify (+ 0 1) into 1 12.259 * [backup-simplify]: Simplify (sqrt 1) into 1 12.259 * [backup-simplify]: Simplify (+ 0 0) into 0 12.260 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.260 * [taylor]: Taking taylor expansion of 1 in J 12.260 * [backup-simplify]: Simplify 1 into 1 12.260 * [taylor]: Taking taylor expansion of 0 in J 12.260 * [backup-simplify]: Simplify 0 into 0 12.260 * [taylor]: Taking taylor expansion of 1 in K 12.260 * [backup-simplify]: Simplify 1 into 1 12.260 * [backup-simplify]: Simplify 1 into 1 12.260 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.261 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 12.262 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.262 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 12.262 * [taylor]: Taking taylor expansion of 1/8 in J 12.262 * [backup-simplify]: Simplify 1/8 into 1/8 12.262 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 12.262 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 12.262 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 12.262 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 12.262 * [taylor]: Taking taylor expansion of 1/2 in J 12.262 * [backup-simplify]: Simplify 1/2 into 1/2 12.262 * [taylor]: Taking taylor expansion of K in J 12.262 * [backup-simplify]: Simplify K into K 12.263 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.263 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.263 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.263 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.263 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.263 * [backup-simplify]: Simplify (- 0) into 0 12.263 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.263 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.263 * [taylor]: Taking taylor expansion of J in J 12.263 * [backup-simplify]: Simplify 0 into 0 12.263 * [backup-simplify]: Simplify 1 into 1 12.264 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.264 * [backup-simplify]: Simplify (* 1 1) into 1 12.264 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 12.264 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 12.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.265 * [backup-simplify]: Simplify (+ 0) into 0 12.266 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 12.266 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 12.267 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.268 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 12.268 * [backup-simplify]: Simplify (- 0) into 0 12.268 * [backup-simplify]: Simplify (+ 0 0) into 0 12.268 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 12.269 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 12.269 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 12.269 * [taylor]: Taking taylor expansion of 0 in K 12.269 * [backup-simplify]: Simplify 0 into 0 12.270 * [backup-simplify]: Simplify 0 into 0 12.270 * [taylor]: Taking taylor expansion of 0 in K 12.270 * [backup-simplify]: Simplify 0 into 0 12.270 * [backup-simplify]: Simplify 0 into 0 12.270 * [taylor]: Taking taylor expansion of 0 in K 12.270 * [backup-simplify]: Simplify 0 into 0 12.270 * [backup-simplify]: Simplify 0 into 0 12.270 * [backup-simplify]: Simplify 0 into 0 12.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.271 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.271 * [backup-simplify]: Simplify (+ 0) into 0 12.271 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 12.272 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 12.273 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.273 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 12.274 * [backup-simplify]: Simplify (- 0) into 0 12.274 * [backup-simplify]: Simplify (+ 0 0) into 0 12.274 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 12.274 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 12.275 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 12.275 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 12.276 * [backup-simplify]: Simplify (+ 0 0) into 0 12.277 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 12.277 * [taylor]: Taking taylor expansion of 0 in J 12.277 * [backup-simplify]: Simplify 0 into 0 12.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.282 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.283 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.283 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 12.284 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.285 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.285 * [backup-simplify]: Simplify (- 0) into 0 12.286 * [backup-simplify]: Simplify (+ 0 0) into 0 12.286 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 12.287 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 12.287 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 12.287 * [taylor]: Taking taylor expansion of 0 in K 12.288 * [backup-simplify]: Simplify 0 into 0 12.288 * [backup-simplify]: Simplify 0 into 0 12.288 * [taylor]: Taking taylor expansion of 0 in K 12.288 * [backup-simplify]: Simplify 0 into 0 12.288 * [backup-simplify]: Simplify 0 into 0 12.288 * [backup-simplify]: Simplify 1 into 1 12.288 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (+ (/ 1 J) (/ 1 J)) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (+ (/ 1 J) (/ 1 J)) (cos (/ (/ 1 K) 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 12.289 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0 12.289 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 12.289 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 12.289 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 12.289 * [taylor]: Taking taylor expansion of 1/4 in K 12.289 * [backup-simplify]: Simplify 1/4 into 1/4 12.289 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 12.289 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.289 * [taylor]: Taking taylor expansion of J in K 12.289 * [backup-simplify]: Simplify J into J 12.289 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 12.289 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.289 * [taylor]: Taking taylor expansion of U in K 12.289 * [backup-simplify]: Simplify U into U 12.289 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 12.289 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.289 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.289 * [taylor]: Taking taylor expansion of 1/2 in K 12.289 * [backup-simplify]: Simplify 1/2 into 1/2 12.289 * [taylor]: Taking taylor expansion of K in K 12.289 * [backup-simplify]: Simplify 0 into 0 12.289 * [backup-simplify]: Simplify 1 into 1 12.290 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.290 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.290 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.290 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.291 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.291 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 12.291 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 12.291 * [taylor]: Taking taylor expansion of 1 in K 12.291 * [backup-simplify]: Simplify 1 into 1 12.291 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 12.292 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 12.292 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 12.292 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.292 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.292 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.293 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.293 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 12.294 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 12.295 * [backup-simplify]: Simplify (+ 0 0) into 0 12.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 12.295 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 12.295 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 12.295 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 12.295 * [taylor]: Taking taylor expansion of 1/4 in J 12.295 * [backup-simplify]: Simplify 1/4 into 1/4 12.295 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 12.295 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.295 * [taylor]: Taking taylor expansion of J in J 12.295 * [backup-simplify]: Simplify 0 into 0 12.295 * [backup-simplify]: Simplify 1 into 1 12.295 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 12.295 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.296 * [taylor]: Taking taylor expansion of U in J 12.296 * [backup-simplify]: Simplify U into U 12.296 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 12.296 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.296 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.296 * [taylor]: Taking taylor expansion of 1/2 in J 12.296 * [backup-simplify]: Simplify 1/2 into 1/2 12.296 * [taylor]: Taking taylor expansion of K in J 12.296 * [backup-simplify]: Simplify K into K 12.296 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.296 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.296 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.296 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.296 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.297 * [backup-simplify]: Simplify (- 0) into 0 12.297 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.297 * [backup-simplify]: Simplify (* 1 1) into 1 12.297 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.298 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.298 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 12.298 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 12.298 * [taylor]: Taking taylor expansion of 1 in J 12.298 * [backup-simplify]: Simplify 1 into 1 12.299 * [backup-simplify]: Simplify (+ 0 1) into 1 12.299 * [backup-simplify]: Simplify (sqrt 1) into 1 12.299 * [backup-simplify]: Simplify (+ 0 0) into 0 12.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.300 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 12.300 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 12.300 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 12.300 * [taylor]: Taking taylor expansion of 1/4 in U 12.300 * [backup-simplify]: Simplify 1/4 into 1/4 12.300 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 12.300 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.300 * [taylor]: Taking taylor expansion of J in U 12.300 * [backup-simplify]: Simplify J into J 12.300 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 12.300 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.300 * [taylor]: Taking taylor expansion of U in U 12.300 * [backup-simplify]: Simplify 0 into 0 12.300 * [backup-simplify]: Simplify 1 into 1 12.301 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 12.301 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 12.301 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 12.301 * [taylor]: Taking taylor expansion of 1/2 in U 12.301 * [backup-simplify]: Simplify 1/2 into 1/2 12.301 * [taylor]: Taking taylor expansion of K in U 12.301 * [backup-simplify]: Simplify K into K 12.301 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.301 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.301 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.301 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.301 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.301 * [backup-simplify]: Simplify (- 0) into 0 12.302 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.302 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.302 * [backup-simplify]: Simplify (* 1 1) into 1 12.302 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.302 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 12.302 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 12.303 * [taylor]: Taking taylor expansion of 1 in U 12.303 * [backup-simplify]: Simplify 1 into 1 12.303 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 12.303 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 12.303 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 12.303 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.304 * [backup-simplify]: Simplify (+ 0) into 0 12.304 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.305 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.305 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.306 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.306 * [backup-simplify]: Simplify (- 0) into 0 12.307 * [backup-simplify]: Simplify (+ 0 0) into 0 12.307 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.308 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.309 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 12.309 * [backup-simplify]: Simplify (+ 0 0) into 0 12.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 12.310 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 12.310 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 12.310 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 12.310 * [taylor]: Taking taylor expansion of 1/4 in U 12.310 * [backup-simplify]: Simplify 1/4 into 1/4 12.310 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 12.310 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.310 * [taylor]: Taking taylor expansion of J in U 12.310 * [backup-simplify]: Simplify J into J 12.310 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 12.310 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.310 * [taylor]: Taking taylor expansion of U in U 12.310 * [backup-simplify]: Simplify 0 into 0 12.310 * [backup-simplify]: Simplify 1 into 1 12.310 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 12.310 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 12.310 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 12.310 * [taylor]: Taking taylor expansion of 1/2 in U 12.310 * [backup-simplify]: Simplify 1/2 into 1/2 12.310 * [taylor]: Taking taylor expansion of K in U 12.310 * [backup-simplify]: Simplify K into K 12.310 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.310 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.310 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.311 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.311 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.311 * [backup-simplify]: Simplify (- 0) into 0 12.311 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.311 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.312 * [backup-simplify]: Simplify (* 1 1) into 1 12.312 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.312 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 12.312 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 12.312 * [taylor]: Taking taylor expansion of 1 in U 12.312 * [backup-simplify]: Simplify 1 into 1 12.312 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 12.313 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 12.313 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 12.313 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.313 * [backup-simplify]: Simplify (+ 0) into 0 12.314 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.314 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.315 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.315 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.316 * [backup-simplify]: Simplify (- 0) into 0 12.316 * [backup-simplify]: Simplify (+ 0 0) into 0 12.316 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.318 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.318 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 12.319 * [backup-simplify]: Simplify (+ 0 0) into 0 12.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 12.319 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 12.319 * [taylor]: Taking taylor expansion of 1/2 in J 12.319 * [backup-simplify]: Simplify 1/2 into 1/2 12.319 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 12.319 * [taylor]: Taking taylor expansion of J in J 12.319 * [backup-simplify]: Simplify 0 into 0 12.319 * [backup-simplify]: Simplify 1 into 1 12.319 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.319 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.319 * [taylor]: Taking taylor expansion of 1/2 in J 12.319 * [backup-simplify]: Simplify 1/2 into 1/2 12.319 * [taylor]: Taking taylor expansion of K in J 12.319 * [backup-simplify]: Simplify K into K 12.319 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.320 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.320 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.320 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.320 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.320 * [backup-simplify]: Simplify (- 0) into 0 12.320 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.320 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 12.320 * [taylor]: Taking taylor expansion of 0 in J 12.320 * [backup-simplify]: Simplify 0 into 0 12.321 * [taylor]: Taking taylor expansion of 0 in K 12.321 * [backup-simplify]: Simplify 0 into 0 12.321 * [backup-simplify]: Simplify 0 into 0 12.321 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 12.321 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 12.321 * [taylor]: Taking taylor expansion of 1/2 in K 12.321 * [backup-simplify]: Simplify 1/2 into 1/2 12.321 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.321 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.321 * [taylor]: Taking taylor expansion of 1/2 in K 12.321 * [backup-simplify]: Simplify 1/2 into 1/2 12.321 * [taylor]: Taking taylor expansion of K in K 12.321 * [backup-simplify]: Simplify 0 into 0 12.321 * [backup-simplify]: Simplify 1 into 1 12.321 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.321 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.322 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 12.322 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 12.322 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 12.323 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.324 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.324 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.325 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.325 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.326 * [backup-simplify]: Simplify (- 0) into 0 12.326 * [backup-simplify]: Simplify (+ 0 0) into 0 12.327 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 12.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 12.329 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.330 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 12.331 * [backup-simplify]: Simplify (+ 0 1) into 1 12.331 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 12.331 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 12.331 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.332 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.332 * [taylor]: Taking taylor expansion of 1/2 in J 12.332 * [backup-simplify]: Simplify 1/2 into 1/2 12.332 * [taylor]: Taking taylor expansion of K in J 12.332 * [backup-simplify]: Simplify K into K 12.332 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.332 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.332 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.332 * [taylor]: Taking taylor expansion of J in J 12.332 * [backup-simplify]: Simplify 0 into 0 12.332 * [backup-simplify]: Simplify 1 into 1 12.332 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.332 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.332 * [backup-simplify]: Simplify (- 0) into 0 12.333 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.333 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.333 * [backup-simplify]: Simplify (+ 0) into 0 12.334 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.334 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.334 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.335 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.335 * [backup-simplify]: Simplify (- 0) into 0 12.336 * [backup-simplify]: Simplify (+ 0 0) into 0 12.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 12.337 * [taylor]: Taking taylor expansion of 0 in K 12.337 * [backup-simplify]: Simplify 0 into 0 12.337 * [backup-simplify]: Simplify 0 into 0 12.337 * [taylor]: Taking taylor expansion of 0 in K 12.337 * [backup-simplify]: Simplify 0 into 0 12.337 * [backup-simplify]: Simplify 0 into 0 12.337 * [backup-simplify]: Simplify (+ 0) into 0 12.338 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.338 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.339 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.339 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.339 * [backup-simplify]: Simplify (- 0) into 0 12.340 * [backup-simplify]: Simplify (+ 0 0) into 0 12.340 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 12.340 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 12.341 * [taylor]: Taking taylor expansion of 0 in K 12.341 * [backup-simplify]: Simplify 0 into 0 12.341 * [backup-simplify]: Simplify 0 into 0 12.341 * [backup-simplify]: Simplify 0 into 0 12.341 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 12.341 * [backup-simplify]: Simplify 0 into 0 12.342 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 12.343 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 12.344 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.344 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.345 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 12.346 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 12.347 * [backup-simplify]: Simplify (- 0) into 0 12.347 * [backup-simplify]: Simplify (+ 0 0) into 0 12.348 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 12.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.351 * [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 12.352 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 12.353 * [backup-simplify]: Simplify (+ 0 0) into 0 12.353 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 12.353 * [taylor]: Taking taylor expansion of 0 in J 12.353 * [backup-simplify]: Simplify 0 into 0 12.353 * [taylor]: Taking taylor expansion of 0 in K 12.353 * [backup-simplify]: Simplify 0 into 0 12.353 * [backup-simplify]: Simplify 0 into 0 12.353 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 12.354 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (+ (/ 1 (- J)) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (+ (/ 1 (- J)) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 12.354 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0 12.354 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 12.354 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 12.354 * [taylor]: Taking taylor expansion of 1 in K 12.354 * [backup-simplify]: Simplify 1 into 1 12.354 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 12.354 * [taylor]: Taking taylor expansion of 1/4 in K 12.355 * [backup-simplify]: Simplify 1/4 into 1/4 12.355 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 12.355 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.355 * [taylor]: Taking taylor expansion of J in K 12.355 * [backup-simplify]: Simplify J into J 12.355 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 12.355 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 12.355 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 12.355 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 12.355 * [taylor]: Taking taylor expansion of -1/2 in K 12.355 * [backup-simplify]: Simplify -1/2 into -1/2 12.355 * [taylor]: Taking taylor expansion of K in K 12.355 * [backup-simplify]: Simplify 0 into 0 12.355 * [backup-simplify]: Simplify 1 into 1 12.355 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.355 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.355 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.355 * [taylor]: Taking taylor expansion of U in K 12.355 * [backup-simplify]: Simplify U into U 12.355 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.356 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.356 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.356 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 12.356 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 12.356 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 12.356 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 12.356 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 12.356 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.356 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.357 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.357 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 12.357 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 12.357 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 12.358 * [backup-simplify]: Simplify (+ 0 0) into 0 12.358 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 12.358 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 12.358 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 12.358 * [taylor]: Taking taylor expansion of 1 in J 12.358 * [backup-simplify]: Simplify 1 into 1 12.358 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 12.358 * [taylor]: Taking taylor expansion of 1/4 in J 12.358 * [backup-simplify]: Simplify 1/4 into 1/4 12.358 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 12.358 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.358 * [taylor]: Taking taylor expansion of J in J 12.358 * [backup-simplify]: Simplify 0 into 0 12.358 * [backup-simplify]: Simplify 1 into 1 12.358 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 12.358 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 12.358 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.358 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.358 * [taylor]: Taking taylor expansion of -1/2 in J 12.358 * [backup-simplify]: Simplify -1/2 into -1/2 12.358 * [taylor]: Taking taylor expansion of K in J 12.358 * [backup-simplify]: Simplify K into K 12.358 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.358 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.358 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.358 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.358 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.359 * [backup-simplify]: Simplify (- 0) into 0 12.359 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.359 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.359 * [taylor]: Taking taylor expansion of U in J 12.359 * [backup-simplify]: Simplify U into U 12.359 * [backup-simplify]: Simplify (* 1 1) into 1 12.359 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.359 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.359 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 12.359 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 12.360 * [backup-simplify]: Simplify (+ 1 0) into 1 12.360 * [backup-simplify]: Simplify (sqrt 1) into 1 12.360 * [backup-simplify]: Simplify (+ 0 0) into 0 12.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.361 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 12.361 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 12.361 * [taylor]: Taking taylor expansion of 1 in U 12.361 * [backup-simplify]: Simplify 1 into 1 12.361 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 12.361 * [taylor]: Taking taylor expansion of 1/4 in U 12.361 * [backup-simplify]: Simplify 1/4 into 1/4 12.361 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 12.361 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.361 * [taylor]: Taking taylor expansion of J in U 12.361 * [backup-simplify]: Simplify J into J 12.361 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 12.361 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 12.361 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 12.361 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 12.361 * [taylor]: Taking taylor expansion of -1/2 in U 12.361 * [backup-simplify]: Simplify -1/2 into -1/2 12.361 * [taylor]: Taking taylor expansion of K in U 12.361 * [backup-simplify]: Simplify K into K 12.361 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.361 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.361 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.361 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.361 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.361 * [backup-simplify]: Simplify (- 0) into 0 12.362 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.362 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.362 * [taylor]: Taking taylor expansion of U in U 12.362 * [backup-simplify]: Simplify 0 into 0 12.362 * [backup-simplify]: Simplify 1 into 1 12.362 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.362 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.362 * [backup-simplify]: Simplify (* 1 1) into 1 12.362 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 12.362 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 12.362 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 12.362 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 12.363 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 12.363 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.363 * [backup-simplify]: Simplify (+ 0) into 0 12.364 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.364 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.364 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.364 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.365 * [backup-simplify]: Simplify (- 0) into 0 12.365 * [backup-simplify]: Simplify (+ 0 0) into 0 12.365 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.365 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 12.366 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.366 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 12.366 * [backup-simplify]: Simplify (+ 0 0) into 0 12.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 12.366 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 12.366 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 12.366 * [taylor]: Taking taylor expansion of 1 in U 12.366 * [backup-simplify]: Simplify 1 into 1 12.366 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 12.367 * [taylor]: Taking taylor expansion of 1/4 in U 12.367 * [backup-simplify]: Simplify 1/4 into 1/4 12.367 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 12.367 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.367 * [taylor]: Taking taylor expansion of J in U 12.367 * [backup-simplify]: Simplify J into J 12.367 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 12.367 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 12.367 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 12.367 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 12.367 * [taylor]: Taking taylor expansion of -1/2 in U 12.367 * [backup-simplify]: Simplify -1/2 into -1/2 12.367 * [taylor]: Taking taylor expansion of K in U 12.367 * [backup-simplify]: Simplify K into K 12.367 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.367 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.367 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.367 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.367 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.367 * [backup-simplify]: Simplify (- 0) into 0 12.367 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.367 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.367 * [taylor]: Taking taylor expansion of U in U 12.367 * [backup-simplify]: Simplify 0 into 0 12.367 * [backup-simplify]: Simplify 1 into 1 12.367 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.367 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.368 * [backup-simplify]: Simplify (* 1 1) into 1 12.368 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 12.368 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 12.368 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 12.368 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 12.368 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 12.368 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.369 * [backup-simplify]: Simplify (+ 0) into 0 12.369 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.369 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.370 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.370 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.370 * [backup-simplify]: Simplify (- 0) into 0 12.371 * [backup-simplify]: Simplify (+ 0 0) into 0 12.371 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.371 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 12.371 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.372 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 12.372 * [backup-simplify]: Simplify (+ 0 0) into 0 12.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 12.372 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 12.372 * [taylor]: Taking taylor expansion of 1/2 in J 12.372 * [backup-simplify]: Simplify 1/2 into 1/2 12.372 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 12.372 * [taylor]: Taking taylor expansion of J in J 12.372 * [backup-simplify]: Simplify 0 into 0 12.372 * [backup-simplify]: Simplify 1 into 1 12.372 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.372 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.372 * [taylor]: Taking taylor expansion of -1/2 in J 12.372 * [backup-simplify]: Simplify -1/2 into -1/2 12.372 * [taylor]: Taking taylor expansion of K in J 12.372 * [backup-simplify]: Simplify K into K 12.372 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.372 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.372 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.373 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.373 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.373 * [backup-simplify]: Simplify (- 0) into 0 12.373 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.373 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 12.373 * [taylor]: Taking taylor expansion of 0 in J 12.373 * [backup-simplify]: Simplify 0 into 0 12.373 * [taylor]: Taking taylor expansion of 0 in K 12.373 * [backup-simplify]: Simplify 0 into 0 12.373 * [backup-simplify]: Simplify 0 into 0 12.373 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 12.373 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 12.373 * [taylor]: Taking taylor expansion of 1/2 in K 12.373 * [backup-simplify]: Simplify 1/2 into 1/2 12.373 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 12.373 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 12.373 * [taylor]: Taking taylor expansion of -1/2 in K 12.373 * [backup-simplify]: Simplify -1/2 into -1/2 12.373 * [taylor]: Taking taylor expansion of K in K 12.373 * [backup-simplify]: Simplify 0 into 0 12.373 * [backup-simplify]: Simplify 1 into 1 12.374 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.374 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.374 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 12.374 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 12.374 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 12.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.375 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.376 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.376 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.376 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.376 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.377 * [backup-simplify]: Simplify (- 0) into 0 12.377 * [backup-simplify]: Simplify (+ 0 0) into 0 12.377 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 12.378 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 12.378 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.379 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 12.379 * [backup-simplify]: Simplify (+ 1 0) into 1 12.379 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 12.379 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 12.379 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.379 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.379 * [taylor]: Taking taylor expansion of -1/2 in J 12.379 * [backup-simplify]: Simplify -1/2 into -1/2 12.380 * [taylor]: Taking taylor expansion of K in J 12.380 * [backup-simplify]: Simplify K into K 12.380 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.380 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.380 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.380 * [taylor]: Taking taylor expansion of J in J 12.380 * [backup-simplify]: Simplify 0 into 0 12.380 * [backup-simplify]: Simplify 1 into 1 12.380 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.380 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.380 * [backup-simplify]: Simplify (- 0) into 0 12.380 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.380 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.380 * [backup-simplify]: Simplify (+ 0) into 0 12.381 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.381 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.381 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.382 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.382 * [backup-simplify]: Simplify (- 0) into 0 12.382 * [backup-simplify]: Simplify (+ 0 0) into 0 12.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 12.383 * [taylor]: Taking taylor expansion of 0 in K 12.383 * [backup-simplify]: Simplify 0 into 0 12.383 * [backup-simplify]: Simplify 0 into 0 12.383 * [taylor]: Taking taylor expansion of 0 in K 12.383 * [backup-simplify]: Simplify 0 into 0 12.383 * [backup-simplify]: Simplify 0 into 0 12.383 * [backup-simplify]: Simplify (+ 0) into 0 12.383 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.383 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.384 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.384 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.384 * [backup-simplify]: Simplify (- 0) into 0 12.385 * [backup-simplify]: Simplify (+ 0 0) into 0 12.385 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 12.385 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 12.385 * [taylor]: Taking taylor expansion of 0 in K 12.385 * [backup-simplify]: Simplify 0 into 0 12.385 * [backup-simplify]: Simplify 0 into 0 12.385 * [backup-simplify]: Simplify 0 into 0 12.385 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 12.385 * [backup-simplify]: Simplify 0 into 0 12.386 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 12.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.387 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 12.388 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.388 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.390 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 12.390 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 12.391 * [backup-simplify]: Simplify (- 0) into 0 12.391 * [backup-simplify]: Simplify (+ 0 0) into 0 12.392 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 12.393 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.394 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.395 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 12.395 * [backup-simplify]: Simplify (+ 0 0) into 0 12.396 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 12.396 * [taylor]: Taking taylor expansion of 0 in J 12.396 * [backup-simplify]: Simplify 0 into 0 12.396 * [taylor]: Taking taylor expansion of 0 in K 12.396 * [backup-simplify]: Simplify 0 into 0 12.396 * [backup-simplify]: Simplify 0 into 0 12.396 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 12.396 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 12.397 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 12.397 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0 12.397 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 12.397 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 12.397 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 12.397 * [taylor]: Taking taylor expansion of 1/4 in K 12.397 * [backup-simplify]: Simplify 1/4 into 1/4 12.397 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 12.397 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.397 * [taylor]: Taking taylor expansion of U in K 12.397 * [backup-simplify]: Simplify U into U 12.397 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 12.397 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 12.397 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 12.397 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 12.397 * [taylor]: Taking taylor expansion of 1/2 in K 12.397 * [backup-simplify]: Simplify 1/2 into 1/2 12.397 * [taylor]: Taking taylor expansion of K in K 12.397 * [backup-simplify]: Simplify 0 into 0 12.397 * [backup-simplify]: Simplify 1 into 1 12.398 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.399 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.399 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.399 * [taylor]: Taking taylor expansion of J in K 12.399 * [backup-simplify]: Simplify J into J 12.399 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.399 * [backup-simplify]: Simplify (* 1 1) into 1 12.399 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.399 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 12.399 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 12.400 * [taylor]: Taking taylor expansion of 1 in K 12.400 * [backup-simplify]: Simplify 1 into 1 12.400 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 12.400 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 12.400 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 12.400 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.400 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.401 * [backup-simplify]: Simplify (+ 0) into 0 12.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 12.403 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 12.403 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 12.404 * [backup-simplify]: Simplify (+ 0 0) into 0 12.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 12.404 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 12.404 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 12.404 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 12.404 * [taylor]: Taking taylor expansion of 1/4 in J 12.404 * [backup-simplify]: Simplify 1/4 into 1/4 12.404 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 12.404 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.404 * [taylor]: Taking taylor expansion of U in J 12.404 * [backup-simplify]: Simplify U into U 12.404 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 12.404 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 12.404 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 12.404 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 12.404 * [taylor]: Taking taylor expansion of 1/2 in J 12.404 * [backup-simplify]: Simplify 1/2 into 1/2 12.404 * [taylor]: Taking taylor expansion of K in J 12.404 * [backup-simplify]: Simplify K into K 12.404 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.405 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.405 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.405 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.405 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.405 * [backup-simplify]: Simplify (- 0) into 0 12.405 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.405 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.405 * [taylor]: Taking taylor expansion of J in J 12.405 * [backup-simplify]: Simplify 0 into 0 12.405 * [backup-simplify]: Simplify 1 into 1 12.406 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.406 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.406 * [backup-simplify]: Simplify (* 1 1) into 1 12.406 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 12.406 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 12.406 * [taylor]: Taking taylor expansion of 1 in J 12.406 * [backup-simplify]: Simplify 1 into 1 12.407 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 12.407 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 12.407 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 12.407 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.408 * [backup-simplify]: Simplify (+ 0) into 0 12.409 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 12.410 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 12.411 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.415 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 12.416 * [backup-simplify]: Simplify (- 0) into 0 12.417 * [backup-simplify]: Simplify (+ 0 0) into 0 12.417 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 12.418 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 12.418 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 12.419 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 12.420 * [backup-simplify]: Simplify (+ 0 0) into 0 12.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 12.420 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 12.420 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 12.420 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 12.420 * [taylor]: Taking taylor expansion of 1/4 in U 12.420 * [backup-simplify]: Simplify 1/4 into 1/4 12.420 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 12.420 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.420 * [taylor]: Taking taylor expansion of U in U 12.420 * [backup-simplify]: Simplify 0 into 0 12.420 * [backup-simplify]: Simplify 1 into 1 12.420 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 12.420 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 12.421 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 12.421 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 12.421 * [taylor]: Taking taylor expansion of 1/2 in U 12.421 * [backup-simplify]: Simplify 1/2 into 1/2 12.421 * [taylor]: Taking taylor expansion of K in U 12.421 * [backup-simplify]: Simplify K into K 12.421 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.421 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.421 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.421 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.421 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.422 * [backup-simplify]: Simplify (- 0) into 0 12.422 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.422 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.422 * [taylor]: Taking taylor expansion of J in U 12.422 * [backup-simplify]: Simplify J into J 12.422 * [backup-simplify]: Simplify (* 1 1) into 1 12.422 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.422 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.423 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 12.423 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.423 * [taylor]: Taking taylor expansion of 1 in U 12.423 * [backup-simplify]: Simplify 1 into 1 12.423 * [backup-simplify]: Simplify (+ 0 1) into 1 12.424 * [backup-simplify]: Simplify (sqrt 1) into 1 12.424 * [backup-simplify]: Simplify (+ 0 0) into 0 12.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.425 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 12.425 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 12.425 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 12.425 * [taylor]: Taking taylor expansion of 1/4 in U 12.425 * [backup-simplify]: Simplify 1/4 into 1/4 12.425 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 12.425 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.425 * [taylor]: Taking taylor expansion of U in U 12.425 * [backup-simplify]: Simplify 0 into 0 12.425 * [backup-simplify]: Simplify 1 into 1 12.425 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 12.425 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 12.425 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 12.425 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 12.425 * [taylor]: Taking taylor expansion of 1/2 in U 12.425 * [backup-simplify]: Simplify 1/2 into 1/2 12.425 * [taylor]: Taking taylor expansion of K in U 12.425 * [backup-simplify]: Simplify K into K 12.425 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.426 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.426 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.426 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.426 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.426 * [backup-simplify]: Simplify (- 0) into 0 12.426 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.426 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.426 * [taylor]: Taking taylor expansion of J in U 12.426 * [backup-simplify]: Simplify J into J 12.427 * [backup-simplify]: Simplify (* 1 1) into 1 12.427 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.427 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.427 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 12.427 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.427 * [taylor]: Taking taylor expansion of 1 in U 12.427 * [backup-simplify]: Simplify 1 into 1 12.428 * [backup-simplify]: Simplify (+ 0 1) into 1 12.428 * [backup-simplify]: Simplify (sqrt 1) into 1 12.429 * [backup-simplify]: Simplify (+ 0 0) into 0 12.429 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.430 * [taylor]: Taking taylor expansion of 1 in J 12.430 * [backup-simplify]: Simplify 1 into 1 12.430 * [taylor]: Taking taylor expansion of 0 in J 12.430 * [backup-simplify]: Simplify 0 into 0 12.430 * [taylor]: Taking taylor expansion of 1 in K 12.430 * [backup-simplify]: Simplify 1 into 1 12.430 * [backup-simplify]: Simplify 1 into 1 12.430 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.430 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 12.432 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.432 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 12.432 * [taylor]: Taking taylor expansion of 1/8 in J 12.432 * [backup-simplify]: Simplify 1/8 into 1/8 12.432 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 12.432 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 12.432 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 12.432 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 12.432 * [taylor]: Taking taylor expansion of 1/2 in J 12.432 * [backup-simplify]: Simplify 1/2 into 1/2 12.432 * [taylor]: Taking taylor expansion of K in J 12.432 * [backup-simplify]: Simplify K into K 12.432 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.432 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.432 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.432 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.432 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.433 * [backup-simplify]: Simplify (- 0) into 0 12.433 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.433 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.433 * [taylor]: Taking taylor expansion of J in J 12.433 * [backup-simplify]: Simplify 0 into 0 12.433 * [backup-simplify]: Simplify 1 into 1 12.433 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.434 * [backup-simplify]: Simplify (* 1 1) into 1 12.434 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 12.434 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 12.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.435 * [backup-simplify]: Simplify (+ 0) into 0 12.435 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 12.436 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 12.437 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.437 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 12.438 * [backup-simplify]: Simplify (- 0) into 0 12.438 * [backup-simplify]: Simplify (+ 0 0) into 0 12.438 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 12.439 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 12.439 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 12.439 * [taylor]: Taking taylor expansion of 0 in K 12.439 * [backup-simplify]: Simplify 0 into 0 12.439 * [backup-simplify]: Simplify 0 into 0 12.439 * [taylor]: Taking taylor expansion of 0 in K 12.439 * [backup-simplify]: Simplify 0 into 0 12.439 * [backup-simplify]: Simplify 0 into 0 12.439 * [taylor]: Taking taylor expansion of 0 in K 12.439 * [backup-simplify]: Simplify 0 into 0 12.439 * [backup-simplify]: Simplify 0 into 0 12.439 * [backup-simplify]: Simplify 0 into 0 12.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.440 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.441 * [backup-simplify]: Simplify (+ 0) into 0 12.441 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 12.442 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 12.442 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.443 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 12.443 * [backup-simplify]: Simplify (- 0) into 0 12.444 * [backup-simplify]: Simplify (+ 0 0) into 0 12.444 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 12.444 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 12.444 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 12.445 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 12.446 * [backup-simplify]: Simplify (+ 0 0) into 0 12.446 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 12.446 * [taylor]: Taking taylor expansion of 0 in J 12.446 * [backup-simplify]: Simplify 0 into 0 12.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.448 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.449 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.450 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 12.451 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.452 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.452 * [backup-simplify]: Simplify (- 0) into 0 12.452 * [backup-simplify]: Simplify (+ 0 0) into 0 12.453 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 12.454 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 12.454 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 12.454 * [taylor]: Taking taylor expansion of 0 in K 12.454 * [backup-simplify]: Simplify 0 into 0 12.454 * [backup-simplify]: Simplify 0 into 0 12.454 * [taylor]: Taking taylor expansion of 0 in K 12.454 * [backup-simplify]: Simplify 0 into 0 12.454 * [backup-simplify]: Simplify 0 into 0 12.454 * [backup-simplify]: Simplify 1 into 1 12.455 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (+ (/ 1 J) (/ 1 J)) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (+ (/ 1 J) (/ 1 J)) (cos (/ (/ 1 K) 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 12.455 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0 12.455 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 12.455 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 12.455 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 12.455 * [taylor]: Taking taylor expansion of 1/4 in K 12.455 * [backup-simplify]: Simplify 1/4 into 1/4 12.455 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 12.455 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.455 * [taylor]: Taking taylor expansion of J in K 12.455 * [backup-simplify]: Simplify J into J 12.456 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 12.456 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.456 * [taylor]: Taking taylor expansion of U in K 12.456 * [backup-simplify]: Simplify U into U 12.456 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 12.456 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.456 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.456 * [taylor]: Taking taylor expansion of 1/2 in K 12.456 * [backup-simplify]: Simplify 1/2 into 1/2 12.456 * [taylor]: Taking taylor expansion of K in K 12.456 * [backup-simplify]: Simplify 0 into 0 12.456 * [backup-simplify]: Simplify 1 into 1 12.456 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.456 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.456 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.456 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.457 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.457 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 12.457 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 12.457 * [taylor]: Taking taylor expansion of 1 in K 12.457 * [backup-simplify]: Simplify 1 into 1 12.457 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 12.458 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 12.458 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 12.458 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.458 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.458 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.459 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.459 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 12.460 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 12.461 * [backup-simplify]: Simplify (+ 0 0) into 0 12.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 12.461 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 12.461 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 12.461 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 12.461 * [taylor]: Taking taylor expansion of 1/4 in J 12.461 * [backup-simplify]: Simplify 1/4 into 1/4 12.461 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 12.461 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.461 * [taylor]: Taking taylor expansion of J in J 12.461 * [backup-simplify]: Simplify 0 into 0 12.461 * [backup-simplify]: Simplify 1 into 1 12.461 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 12.461 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.461 * [taylor]: Taking taylor expansion of U in J 12.461 * [backup-simplify]: Simplify U into U 12.462 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 12.462 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.462 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.462 * [taylor]: Taking taylor expansion of 1/2 in J 12.462 * [backup-simplify]: Simplify 1/2 into 1/2 12.462 * [taylor]: Taking taylor expansion of K in J 12.462 * [backup-simplify]: Simplify K into K 12.462 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.462 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.462 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.462 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.462 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.462 * [backup-simplify]: Simplify (- 0) into 0 12.463 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.463 * [backup-simplify]: Simplify (* 1 1) into 1 12.463 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.463 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.463 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 12.464 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 12.464 * [taylor]: Taking taylor expansion of 1 in J 12.464 * [backup-simplify]: Simplify 1 into 1 12.464 * [backup-simplify]: Simplify (+ 0 1) into 1 12.464 * [backup-simplify]: Simplify (sqrt 1) into 1 12.465 * [backup-simplify]: Simplify (+ 0 0) into 0 12.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.466 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 12.466 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 12.466 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 12.466 * [taylor]: Taking taylor expansion of 1/4 in U 12.466 * [backup-simplify]: Simplify 1/4 into 1/4 12.466 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 12.466 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.466 * [taylor]: Taking taylor expansion of J in U 12.466 * [backup-simplify]: Simplify J into J 12.466 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 12.466 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.466 * [taylor]: Taking taylor expansion of U in U 12.466 * [backup-simplify]: Simplify 0 into 0 12.466 * [backup-simplify]: Simplify 1 into 1 12.466 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 12.466 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 12.466 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 12.466 * [taylor]: Taking taylor expansion of 1/2 in U 12.466 * [backup-simplify]: Simplify 1/2 into 1/2 12.466 * [taylor]: Taking taylor expansion of K in U 12.466 * [backup-simplify]: Simplify K into K 12.466 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.466 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.466 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.467 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.467 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.467 * [backup-simplify]: Simplify (- 0) into 0 12.467 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.467 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.468 * [backup-simplify]: Simplify (* 1 1) into 1 12.468 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.468 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 12.468 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 12.468 * [taylor]: Taking taylor expansion of 1 in U 12.468 * [backup-simplify]: Simplify 1 into 1 12.468 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 12.469 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 12.469 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 12.469 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.469 * [backup-simplify]: Simplify (+ 0) into 0 12.470 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.470 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.471 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.471 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.472 * [backup-simplify]: Simplify (- 0) into 0 12.472 * [backup-simplify]: Simplify (+ 0 0) into 0 12.472 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.473 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.473 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 12.474 * [backup-simplify]: Simplify (+ 0 0) into 0 12.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 12.474 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 12.474 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 12.474 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 12.474 * [taylor]: Taking taylor expansion of 1/4 in U 12.474 * [backup-simplify]: Simplify 1/4 into 1/4 12.474 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 12.474 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.474 * [taylor]: Taking taylor expansion of J in U 12.474 * [backup-simplify]: Simplify J into J 12.474 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 12.474 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.474 * [taylor]: Taking taylor expansion of U in U 12.474 * [backup-simplify]: Simplify 0 into 0 12.474 * [backup-simplify]: Simplify 1 into 1 12.474 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 12.474 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 12.474 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 12.474 * [taylor]: Taking taylor expansion of 1/2 in U 12.474 * [backup-simplify]: Simplify 1/2 into 1/2 12.474 * [taylor]: Taking taylor expansion of K in U 12.474 * [backup-simplify]: Simplify K into K 12.474 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.474 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.474 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.474 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.474 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.475 * [backup-simplify]: Simplify (- 0) into 0 12.475 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.475 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.475 * [backup-simplify]: Simplify (* 1 1) into 1 12.475 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.475 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 12.475 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 12.475 * [taylor]: Taking taylor expansion of 1 in U 12.475 * [backup-simplify]: Simplify 1 into 1 12.475 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 12.475 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 12.476 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 12.476 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.476 * [backup-simplify]: Simplify (+ 0) into 0 12.476 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.476 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.477 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.477 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.477 * [backup-simplify]: Simplify (- 0) into 0 12.478 * [backup-simplify]: Simplify (+ 0 0) into 0 12.478 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.479 * [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 12.479 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 12.479 * [backup-simplify]: Simplify (+ 0 0) into 0 12.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 12.479 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 12.479 * [taylor]: Taking taylor expansion of 1/2 in J 12.479 * [backup-simplify]: Simplify 1/2 into 1/2 12.479 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 12.480 * [taylor]: Taking taylor expansion of J in J 12.480 * [backup-simplify]: Simplify 0 into 0 12.480 * [backup-simplify]: Simplify 1 into 1 12.480 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.480 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.480 * [taylor]: Taking taylor expansion of 1/2 in J 12.480 * [backup-simplify]: Simplify 1/2 into 1/2 12.480 * [taylor]: Taking taylor expansion of K in J 12.480 * [backup-simplify]: Simplify K into K 12.480 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.480 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.480 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.480 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.480 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.480 * [backup-simplify]: Simplify (- 0) into 0 12.480 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.480 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 12.480 * [taylor]: Taking taylor expansion of 0 in J 12.480 * [backup-simplify]: Simplify 0 into 0 12.480 * [taylor]: Taking taylor expansion of 0 in K 12.480 * [backup-simplify]: Simplify 0 into 0 12.480 * [backup-simplify]: Simplify 0 into 0 12.480 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 12.480 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 12.480 * [taylor]: Taking taylor expansion of 1/2 in K 12.480 * [backup-simplify]: Simplify 1/2 into 1/2 12.480 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.480 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.480 * [taylor]: Taking taylor expansion of 1/2 in K 12.480 * [backup-simplify]: Simplify 1/2 into 1/2 12.481 * [taylor]: Taking taylor expansion of K in K 12.481 * [backup-simplify]: Simplify 0 into 0 12.481 * [backup-simplify]: Simplify 1 into 1 12.481 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.481 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.481 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 12.481 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 12.481 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 12.482 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.482 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.482 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.483 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.483 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.483 * [backup-simplify]: Simplify (- 0) into 0 12.484 * [backup-simplify]: Simplify (+ 0 0) into 0 12.484 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 12.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 12.485 * [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))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.486 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 12.486 * [backup-simplify]: Simplify (+ 0 1) into 1 12.487 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 12.487 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 12.487 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.487 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.487 * [taylor]: Taking taylor expansion of 1/2 in J 12.487 * [backup-simplify]: Simplify 1/2 into 1/2 12.487 * [taylor]: Taking taylor expansion of K in J 12.487 * [backup-simplify]: Simplify K into K 12.487 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.487 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.487 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.487 * [taylor]: Taking taylor expansion of J in J 12.487 * [backup-simplify]: Simplify 0 into 0 12.487 * [backup-simplify]: Simplify 1 into 1 12.487 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.487 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.487 * [backup-simplify]: Simplify (- 0) into 0 12.487 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.488 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.488 * [backup-simplify]: Simplify (+ 0) into 0 12.488 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.488 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.489 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.489 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.489 * [backup-simplify]: Simplify (- 0) into 0 12.490 * [backup-simplify]: Simplify (+ 0 0) into 0 12.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 12.490 * [taylor]: Taking taylor expansion of 0 in K 12.490 * [backup-simplify]: Simplify 0 into 0 12.490 * [backup-simplify]: Simplify 0 into 0 12.490 * [taylor]: Taking taylor expansion of 0 in K 12.490 * [backup-simplify]: Simplify 0 into 0 12.490 * [backup-simplify]: Simplify 0 into 0 12.490 * [backup-simplify]: Simplify (+ 0) into 0 12.491 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.491 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.491 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.492 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.492 * [backup-simplify]: Simplify (- 0) into 0 12.492 * [backup-simplify]: Simplify (+ 0 0) into 0 12.492 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 12.493 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 12.493 * [taylor]: Taking taylor expansion of 0 in K 12.493 * [backup-simplify]: Simplify 0 into 0 12.493 * [backup-simplify]: Simplify 0 into 0 12.493 * [backup-simplify]: Simplify 0 into 0 12.493 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 12.493 * [backup-simplify]: Simplify 0 into 0 12.493 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 12.494 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 12.494 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.495 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.495 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 12.496 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 12.496 * [backup-simplify]: Simplify (- 0) into 0 12.496 * [backup-simplify]: Simplify (+ 0 0) into 0 12.497 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 12.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.499 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.499 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 12.500 * [backup-simplify]: Simplify (+ 0 0) into 0 12.500 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 12.500 * [taylor]: Taking taylor expansion of 0 in J 12.500 * [backup-simplify]: Simplify 0 into 0 12.500 * [taylor]: Taking taylor expansion of 0 in K 12.500 * [backup-simplify]: Simplify 0 into 0 12.500 * [backup-simplify]: Simplify 0 into 0 12.500 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 12.501 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (+ (/ 1 (- J)) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (+ (/ 1 (- J)) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 12.501 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0 12.501 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 12.501 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 12.501 * [taylor]: Taking taylor expansion of 1 in K 12.501 * [backup-simplify]: Simplify 1 into 1 12.501 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 12.501 * [taylor]: Taking taylor expansion of 1/4 in K 12.501 * [backup-simplify]: Simplify 1/4 into 1/4 12.501 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 12.501 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.501 * [taylor]: Taking taylor expansion of J in K 12.501 * [backup-simplify]: Simplify J into J 12.501 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 12.501 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 12.501 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 12.501 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 12.501 * [taylor]: Taking taylor expansion of -1/2 in K 12.501 * [backup-simplify]: Simplify -1/2 into -1/2 12.501 * [taylor]: Taking taylor expansion of K in K 12.501 * [backup-simplify]: Simplify 0 into 0 12.501 * [backup-simplify]: Simplify 1 into 1 12.501 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.501 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.501 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.501 * [taylor]: Taking taylor expansion of U in K 12.501 * [backup-simplify]: Simplify U into U 12.501 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.501 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.502 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.502 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 12.502 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 12.502 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 12.502 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 12.502 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 12.502 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.502 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.503 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.503 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 12.503 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 12.503 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 12.504 * [backup-simplify]: Simplify (+ 0 0) into 0 12.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 12.504 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 12.504 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 12.504 * [taylor]: Taking taylor expansion of 1 in J 12.504 * [backup-simplify]: Simplify 1 into 1 12.504 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 12.504 * [taylor]: Taking taylor expansion of 1/4 in J 12.504 * [backup-simplify]: Simplify 1/4 into 1/4 12.504 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 12.504 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.504 * [taylor]: Taking taylor expansion of J in J 12.504 * [backup-simplify]: Simplify 0 into 0 12.504 * [backup-simplify]: Simplify 1 into 1 12.504 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 12.504 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 12.504 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.504 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.504 * [taylor]: Taking taylor expansion of -1/2 in J 12.504 * [backup-simplify]: Simplify -1/2 into -1/2 12.504 * [taylor]: Taking taylor expansion of K in J 12.504 * [backup-simplify]: Simplify K into K 12.504 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.504 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.504 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.504 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.504 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.505 * [backup-simplify]: Simplify (- 0) into 0 12.505 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.505 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.505 * [taylor]: Taking taylor expansion of U in J 12.505 * [backup-simplify]: Simplify U into U 12.505 * [backup-simplify]: Simplify (* 1 1) into 1 12.505 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.505 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.505 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 12.505 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 12.506 * [backup-simplify]: Simplify (+ 1 0) into 1 12.506 * [backup-simplify]: Simplify (sqrt 1) into 1 12.506 * [backup-simplify]: Simplify (+ 0 0) into 0 12.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.507 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 12.507 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 12.507 * [taylor]: Taking taylor expansion of 1 in U 12.507 * [backup-simplify]: Simplify 1 into 1 12.507 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 12.507 * [taylor]: Taking taylor expansion of 1/4 in U 12.507 * [backup-simplify]: Simplify 1/4 into 1/4 12.507 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 12.507 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.507 * [taylor]: Taking taylor expansion of J in U 12.507 * [backup-simplify]: Simplify J into J 12.507 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 12.507 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 12.507 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 12.507 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 12.507 * [taylor]: Taking taylor expansion of -1/2 in U 12.507 * [backup-simplify]: Simplify -1/2 into -1/2 12.507 * [taylor]: Taking taylor expansion of K in U 12.507 * [backup-simplify]: Simplify K into K 12.507 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.507 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.507 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.507 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.507 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.507 * [backup-simplify]: Simplify (- 0) into 0 12.507 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.508 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.508 * [taylor]: Taking taylor expansion of U in U 12.508 * [backup-simplify]: Simplify 0 into 0 12.508 * [backup-simplify]: Simplify 1 into 1 12.508 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.508 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.508 * [backup-simplify]: Simplify (* 1 1) into 1 12.508 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 12.508 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 12.508 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 12.508 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 12.509 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 12.509 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.509 * [backup-simplify]: Simplify (+ 0) into 0 12.510 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.510 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.510 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.510 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.511 * [backup-simplify]: Simplify (- 0) into 0 12.511 * [backup-simplify]: Simplify (+ 0 0) into 0 12.511 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.511 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 12.512 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.512 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 12.512 * [backup-simplify]: Simplify (+ 0 0) into 0 12.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 12.513 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 12.513 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 12.513 * [taylor]: Taking taylor expansion of 1 in U 12.513 * [backup-simplify]: Simplify 1 into 1 12.513 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 12.513 * [taylor]: Taking taylor expansion of 1/4 in U 12.513 * [backup-simplify]: Simplify 1/4 into 1/4 12.513 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 12.513 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.513 * [taylor]: Taking taylor expansion of J in U 12.513 * [backup-simplify]: Simplify J into J 12.513 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 12.513 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 12.513 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 12.513 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 12.513 * [taylor]: Taking taylor expansion of -1/2 in U 12.513 * [backup-simplify]: Simplify -1/2 into -1/2 12.513 * [taylor]: Taking taylor expansion of K in U 12.513 * [backup-simplify]: Simplify K into K 12.513 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.513 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.513 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.513 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.513 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.513 * [backup-simplify]: Simplify (- 0) into 0 12.513 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.513 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.513 * [taylor]: Taking taylor expansion of U in U 12.513 * [backup-simplify]: Simplify 0 into 0 12.514 * [backup-simplify]: Simplify 1 into 1 12.514 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.514 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.514 * [backup-simplify]: Simplify (* 1 1) into 1 12.514 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 12.514 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 12.514 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 12.514 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 12.514 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 12.515 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.515 * [backup-simplify]: Simplify (+ 0) into 0 12.515 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.516 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.516 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.516 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.517 * [backup-simplify]: Simplify (- 0) into 0 12.517 * [backup-simplify]: Simplify (+ 0 0) into 0 12.517 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.517 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 12.517 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.518 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 12.518 * [backup-simplify]: Simplify (+ 0 0) into 0 12.518 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 12.518 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 12.518 * [taylor]: Taking taylor expansion of 1/2 in J 12.518 * [backup-simplify]: Simplify 1/2 into 1/2 12.518 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 12.518 * [taylor]: Taking taylor expansion of J in J 12.518 * [backup-simplify]: Simplify 0 into 0 12.518 * [backup-simplify]: Simplify 1 into 1 12.518 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.519 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.519 * [taylor]: Taking taylor expansion of -1/2 in J 12.519 * [backup-simplify]: Simplify -1/2 into -1/2 12.519 * [taylor]: Taking taylor expansion of K in J 12.519 * [backup-simplify]: Simplify K into K 12.519 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.519 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.519 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.519 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.519 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.519 * [backup-simplify]: Simplify (- 0) into 0 12.519 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.519 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 12.519 * [taylor]: Taking taylor expansion of 0 in J 12.519 * [backup-simplify]: Simplify 0 into 0 12.519 * [taylor]: Taking taylor expansion of 0 in K 12.519 * [backup-simplify]: Simplify 0 into 0 12.519 * [backup-simplify]: Simplify 0 into 0 12.520 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 12.520 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 12.520 * [taylor]: Taking taylor expansion of 1/2 in K 12.520 * [backup-simplify]: Simplify 1/2 into 1/2 12.520 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 12.520 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 12.520 * [taylor]: Taking taylor expansion of -1/2 in K 12.520 * [backup-simplify]: Simplify -1/2 into -1/2 12.520 * [taylor]: Taking taylor expansion of K in K 12.520 * [backup-simplify]: Simplify 0 into 0 12.520 * [backup-simplify]: Simplify 1 into 1 12.520 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.520 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.521 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 12.521 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 12.521 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 12.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.523 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.524 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.524 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.525 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.525 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.526 * [backup-simplify]: Simplify (- 0) into 0 12.526 * [backup-simplify]: Simplify (+ 0 0) into 0 12.527 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 12.527 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 12.528 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.529 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 12.529 * [backup-simplify]: Simplify (+ 1 0) into 1 12.530 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 12.530 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 12.530 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.530 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.530 * [taylor]: Taking taylor expansion of -1/2 in J 12.530 * [backup-simplify]: Simplify -1/2 into -1/2 12.530 * [taylor]: Taking taylor expansion of K in J 12.531 * [backup-simplify]: Simplify K into K 12.531 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.531 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.531 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.531 * [taylor]: Taking taylor expansion of J in J 12.531 * [backup-simplify]: Simplify 0 into 0 12.531 * [backup-simplify]: Simplify 1 into 1 12.531 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.531 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.532 * [backup-simplify]: Simplify (- 0) into 0 12.532 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.532 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.532 * [backup-simplify]: Simplify (+ 0) into 0 12.533 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.533 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.534 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.534 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.534 * [backup-simplify]: Simplify (- 0) into 0 12.535 * [backup-simplify]: Simplify (+ 0 0) into 0 12.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 12.536 * [taylor]: Taking taylor expansion of 0 in K 12.536 * [backup-simplify]: Simplify 0 into 0 12.536 * [backup-simplify]: Simplify 0 into 0 12.536 * [taylor]: Taking taylor expansion of 0 in K 12.536 * [backup-simplify]: Simplify 0 into 0 12.536 * [backup-simplify]: Simplify 0 into 0 12.536 * [backup-simplify]: Simplify (+ 0) into 0 12.537 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.537 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.542 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.543 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.543 * [backup-simplify]: Simplify (- 0) into 0 12.544 * [backup-simplify]: Simplify (+ 0 0) into 0 12.544 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 12.545 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 12.545 * [taylor]: Taking taylor expansion of 0 in K 12.545 * [backup-simplify]: Simplify 0 into 0 12.545 * [backup-simplify]: Simplify 0 into 0 12.545 * [backup-simplify]: Simplify 0 into 0 12.545 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 12.545 * [backup-simplify]: Simplify 0 into 0 12.546 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 12.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.548 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 12.549 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.549 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.550 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 12.551 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 12.552 * [backup-simplify]: Simplify (- 0) into 0 12.552 * [backup-simplify]: Simplify (+ 0 0) into 0 12.553 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 12.554 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.555 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.556 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 12.557 * [backup-simplify]: Simplify (+ 0 0) into 0 12.557 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 12.557 * [taylor]: Taking taylor expansion of 0 in J 12.557 * [backup-simplify]: Simplify 0 into 0 12.557 * [taylor]: Taking taylor expansion of 0 in K 12.557 * [backup-simplify]: Simplify 0 into 0 12.557 * [backup-simplify]: Simplify 0 into 0 12.557 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 12.557 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2 1) 12.558 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 12.558 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0 12.558 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 12.558 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 12.558 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 12.558 * [taylor]: Taking taylor expansion of 1/4 in K 12.558 * [backup-simplify]: Simplify 1/4 into 1/4 12.558 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 12.558 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.558 * [taylor]: Taking taylor expansion of U in K 12.558 * [backup-simplify]: Simplify U into U 12.558 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 12.558 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 12.558 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 12.558 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 12.558 * [taylor]: Taking taylor expansion of 1/2 in K 12.558 * [backup-simplify]: Simplify 1/2 into 1/2 12.558 * [taylor]: Taking taylor expansion of K in K 12.558 * [backup-simplify]: Simplify 0 into 0 12.558 * [backup-simplify]: Simplify 1 into 1 12.559 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.560 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.560 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.560 * [taylor]: Taking taylor expansion of J in K 12.560 * [backup-simplify]: Simplify J into J 12.560 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.560 * [backup-simplify]: Simplify (* 1 1) into 1 12.560 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.560 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 12.561 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 12.561 * [taylor]: Taking taylor expansion of 1 in K 12.561 * [backup-simplify]: Simplify 1 into 1 12.561 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 12.561 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 12.561 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 12.561 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.562 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.562 * [backup-simplify]: Simplify (+ 0) into 0 12.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 12.564 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 12.564 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 12.565 * [backup-simplify]: Simplify (+ 0 0) into 0 12.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 12.565 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 12.565 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 12.565 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 12.565 * [taylor]: Taking taylor expansion of 1/4 in J 12.565 * [backup-simplify]: Simplify 1/4 into 1/4 12.565 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 12.565 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.565 * [taylor]: Taking taylor expansion of U in J 12.565 * [backup-simplify]: Simplify U into U 12.565 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 12.565 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 12.565 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 12.566 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 12.566 * [taylor]: Taking taylor expansion of 1/2 in J 12.566 * [backup-simplify]: Simplify 1/2 into 1/2 12.566 * [taylor]: Taking taylor expansion of K in J 12.566 * [backup-simplify]: Simplify K into K 12.566 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.566 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.566 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.566 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.566 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.566 * [backup-simplify]: Simplify (- 0) into 0 12.566 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.566 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.567 * [taylor]: Taking taylor expansion of J in J 12.567 * [backup-simplify]: Simplify 0 into 0 12.567 * [backup-simplify]: Simplify 1 into 1 12.567 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.567 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.567 * [backup-simplify]: Simplify (* 1 1) into 1 12.567 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 12.567 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 12.567 * [taylor]: Taking taylor expansion of 1 in J 12.567 * [backup-simplify]: Simplify 1 into 1 12.568 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 12.568 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 12.568 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 12.568 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.569 * [backup-simplify]: Simplify (+ 0) into 0 12.569 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 12.569 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 12.570 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.570 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 12.570 * [backup-simplify]: Simplify (- 0) into 0 12.570 * [backup-simplify]: Simplify (+ 0 0) into 0 12.570 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 12.571 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 12.571 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 12.571 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 12.572 * [backup-simplify]: Simplify (+ 0 0) into 0 12.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 12.572 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 12.572 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 12.572 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 12.572 * [taylor]: Taking taylor expansion of 1/4 in U 12.572 * [backup-simplify]: Simplify 1/4 into 1/4 12.572 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 12.572 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.572 * [taylor]: Taking taylor expansion of U in U 12.572 * [backup-simplify]: Simplify 0 into 0 12.572 * [backup-simplify]: Simplify 1 into 1 12.572 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 12.572 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 12.572 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 12.572 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 12.572 * [taylor]: Taking taylor expansion of 1/2 in U 12.572 * [backup-simplify]: Simplify 1/2 into 1/2 12.572 * [taylor]: Taking taylor expansion of K in U 12.572 * [backup-simplify]: Simplify K into K 12.572 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.572 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.572 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.572 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.572 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.573 * [backup-simplify]: Simplify (- 0) into 0 12.573 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.573 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.573 * [taylor]: Taking taylor expansion of J in U 12.573 * [backup-simplify]: Simplify J into J 12.573 * [backup-simplify]: Simplify (* 1 1) into 1 12.573 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.573 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.573 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 12.573 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.573 * [taylor]: Taking taylor expansion of 1 in U 12.573 * [backup-simplify]: Simplify 1 into 1 12.574 * [backup-simplify]: Simplify (+ 0 1) into 1 12.574 * [backup-simplify]: Simplify (sqrt 1) into 1 12.574 * [backup-simplify]: Simplify (+ 0 0) into 0 12.575 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.575 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 12.575 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 12.575 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 12.575 * [taylor]: Taking taylor expansion of 1/4 in U 12.575 * [backup-simplify]: Simplify 1/4 into 1/4 12.575 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 12.575 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.575 * [taylor]: Taking taylor expansion of U in U 12.575 * [backup-simplify]: Simplify 0 into 0 12.575 * [backup-simplify]: Simplify 1 into 1 12.575 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 12.575 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 12.575 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 12.575 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 12.575 * [taylor]: Taking taylor expansion of 1/2 in U 12.575 * [backup-simplify]: Simplify 1/2 into 1/2 12.575 * [taylor]: Taking taylor expansion of K in U 12.575 * [backup-simplify]: Simplify K into K 12.575 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.575 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.575 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.575 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.575 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.575 * [backup-simplify]: Simplify (- 0) into 0 12.576 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.576 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.576 * [taylor]: Taking taylor expansion of J in U 12.576 * [backup-simplify]: Simplify J into J 12.576 * [backup-simplify]: Simplify (* 1 1) into 1 12.576 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.576 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.576 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 12.576 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.576 * [taylor]: Taking taylor expansion of 1 in U 12.576 * [backup-simplify]: Simplify 1 into 1 12.576 * [backup-simplify]: Simplify (+ 0 1) into 1 12.577 * [backup-simplify]: Simplify (sqrt 1) into 1 12.577 * [backup-simplify]: Simplify (+ 0 0) into 0 12.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.577 * [taylor]: Taking taylor expansion of 1 in J 12.578 * [backup-simplify]: Simplify 1 into 1 12.578 * [taylor]: Taking taylor expansion of 0 in J 12.578 * [backup-simplify]: Simplify 0 into 0 12.578 * [taylor]: Taking taylor expansion of 1 in K 12.578 * [backup-simplify]: Simplify 1 into 1 12.578 * [backup-simplify]: Simplify 1 into 1 12.578 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.578 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 12.579 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.579 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 12.579 * [taylor]: Taking taylor expansion of 1/8 in J 12.579 * [backup-simplify]: Simplify 1/8 into 1/8 12.579 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 12.579 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 12.579 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 12.579 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 12.579 * [taylor]: Taking taylor expansion of 1/2 in J 12.579 * [backup-simplify]: Simplify 1/2 into 1/2 12.579 * [taylor]: Taking taylor expansion of K in J 12.579 * [backup-simplify]: Simplify K into K 12.579 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.579 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.579 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.579 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.579 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.579 * [backup-simplify]: Simplify (- 0) into 0 12.580 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.580 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.580 * [taylor]: Taking taylor expansion of J in J 12.580 * [backup-simplify]: Simplify 0 into 0 12.580 * [backup-simplify]: Simplify 1 into 1 12.580 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.580 * [backup-simplify]: Simplify (* 1 1) into 1 12.580 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 12.580 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 12.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.581 * [backup-simplify]: Simplify (+ 0) into 0 12.581 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 12.581 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 12.582 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.582 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 12.582 * [backup-simplify]: Simplify (- 0) into 0 12.583 * [backup-simplify]: Simplify (+ 0 0) into 0 12.583 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 12.583 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 12.583 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 12.583 * [taylor]: Taking taylor expansion of 0 in K 12.583 * [backup-simplify]: Simplify 0 into 0 12.583 * [backup-simplify]: Simplify 0 into 0 12.583 * [taylor]: Taking taylor expansion of 0 in K 12.583 * [backup-simplify]: Simplify 0 into 0 12.583 * [backup-simplify]: Simplify 0 into 0 12.583 * [taylor]: Taking taylor expansion of 0 in K 12.583 * [backup-simplify]: Simplify 0 into 0 12.583 * [backup-simplify]: Simplify 0 into 0 12.583 * [backup-simplify]: Simplify 0 into 0 12.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.584 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.584 * [backup-simplify]: Simplify (+ 0) into 0 12.584 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 12.585 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 12.585 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.585 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 12.586 * [backup-simplify]: Simplify (- 0) into 0 12.586 * [backup-simplify]: Simplify (+ 0 0) into 0 12.586 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 12.586 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 12.586 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 12.587 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 12.587 * [backup-simplify]: Simplify (+ 0 0) into 0 12.588 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 12.588 * [taylor]: Taking taylor expansion of 0 in J 12.588 * [backup-simplify]: Simplify 0 into 0 12.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.589 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.589 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.590 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 12.590 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.590 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.591 * [backup-simplify]: Simplify (- 0) into 0 12.591 * [backup-simplify]: Simplify (+ 0 0) into 0 12.591 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 12.592 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 12.592 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 12.592 * [taylor]: Taking taylor expansion of 0 in K 12.592 * [backup-simplify]: Simplify 0 into 0 12.592 * [backup-simplify]: Simplify 0 into 0 12.592 * [taylor]: Taking taylor expansion of 0 in K 12.592 * [backup-simplify]: Simplify 0 into 0 12.592 * [backup-simplify]: Simplify 0 into 0 12.592 * [backup-simplify]: Simplify 1 into 1 12.592 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (+ (/ 1 J) (/ 1 J)) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (+ (/ 1 J) (/ 1 J)) (cos (/ (/ 1 K) 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 12.592 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0 12.593 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 12.593 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 12.593 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 12.593 * [taylor]: Taking taylor expansion of 1/4 in K 12.593 * [backup-simplify]: Simplify 1/4 into 1/4 12.593 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 12.593 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.593 * [taylor]: Taking taylor expansion of J in K 12.593 * [backup-simplify]: Simplify J into J 12.593 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 12.593 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.593 * [taylor]: Taking taylor expansion of U in K 12.593 * [backup-simplify]: Simplify U into U 12.593 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 12.593 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.593 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.593 * [taylor]: Taking taylor expansion of 1/2 in K 12.593 * [backup-simplify]: Simplify 1/2 into 1/2 12.593 * [taylor]: Taking taylor expansion of K in K 12.593 * [backup-simplify]: Simplify 0 into 0 12.593 * [backup-simplify]: Simplify 1 into 1 12.593 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.593 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.593 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.593 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.593 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.593 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 12.594 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 12.594 * [taylor]: Taking taylor expansion of 1 in K 12.594 * [backup-simplify]: Simplify 1 into 1 12.594 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 12.594 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 12.594 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 12.594 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.594 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.594 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.594 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.595 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 12.595 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 12.595 * [backup-simplify]: Simplify (+ 0 0) into 0 12.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 12.596 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 12.596 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 12.596 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 12.596 * [taylor]: Taking taylor expansion of 1/4 in J 12.596 * [backup-simplify]: Simplify 1/4 into 1/4 12.596 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 12.596 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.596 * [taylor]: Taking taylor expansion of J in J 12.596 * [backup-simplify]: Simplify 0 into 0 12.596 * [backup-simplify]: Simplify 1 into 1 12.596 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 12.596 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.596 * [taylor]: Taking taylor expansion of U in J 12.596 * [backup-simplify]: Simplify U into U 12.596 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 12.596 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.596 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.596 * [taylor]: Taking taylor expansion of 1/2 in J 12.596 * [backup-simplify]: Simplify 1/2 into 1/2 12.596 * [taylor]: Taking taylor expansion of K in J 12.596 * [backup-simplify]: Simplify K into K 12.596 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.596 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.596 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.596 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.596 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.597 * [backup-simplify]: Simplify (- 0) into 0 12.597 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.597 * [backup-simplify]: Simplify (* 1 1) into 1 12.597 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.597 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.597 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 12.597 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 12.597 * [taylor]: Taking taylor expansion of 1 in J 12.597 * [backup-simplify]: Simplify 1 into 1 12.597 * [backup-simplify]: Simplify (+ 0 1) into 1 12.598 * [backup-simplify]: Simplify (sqrt 1) into 1 12.598 * [backup-simplify]: Simplify (+ 0 0) into 0 12.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.598 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 12.598 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 12.598 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 12.598 * [taylor]: Taking taylor expansion of 1/4 in U 12.598 * [backup-simplify]: Simplify 1/4 into 1/4 12.599 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 12.599 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.599 * [taylor]: Taking taylor expansion of J in U 12.599 * [backup-simplify]: Simplify J into J 12.599 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 12.599 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.599 * [taylor]: Taking taylor expansion of U in U 12.599 * [backup-simplify]: Simplify 0 into 0 12.599 * [backup-simplify]: Simplify 1 into 1 12.599 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 12.599 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 12.599 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 12.599 * [taylor]: Taking taylor expansion of 1/2 in U 12.599 * [backup-simplify]: Simplify 1/2 into 1/2 12.599 * [taylor]: Taking taylor expansion of K in U 12.599 * [backup-simplify]: Simplify K into K 12.599 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.599 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.599 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.599 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.599 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.599 * [backup-simplify]: Simplify (- 0) into 0 12.599 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.599 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.600 * [backup-simplify]: Simplify (* 1 1) into 1 12.600 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.600 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 12.600 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 12.600 * [taylor]: Taking taylor expansion of 1 in U 12.600 * [backup-simplify]: Simplify 1 into 1 12.600 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 12.601 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 12.601 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 12.601 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.602 * [backup-simplify]: Simplify (+ 0) into 0 12.602 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.602 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.603 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.604 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.604 * [backup-simplify]: Simplify (- 0) into 0 12.605 * [backup-simplify]: Simplify (+ 0 0) into 0 12.605 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.605 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.606 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.607 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 12.607 * [backup-simplify]: Simplify (+ 0 0) into 0 12.608 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 12.608 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 12.608 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 12.608 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 12.608 * [taylor]: Taking taylor expansion of 1/4 in U 12.608 * [backup-simplify]: Simplify 1/4 into 1/4 12.608 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 12.608 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.608 * [taylor]: Taking taylor expansion of J in U 12.608 * [backup-simplify]: Simplify J into J 12.608 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 12.608 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.608 * [taylor]: Taking taylor expansion of U in U 12.608 * [backup-simplify]: Simplify 0 into 0 12.608 * [backup-simplify]: Simplify 1 into 1 12.608 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 12.608 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 12.608 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 12.608 * [taylor]: Taking taylor expansion of 1/2 in U 12.608 * [backup-simplify]: Simplify 1/2 into 1/2 12.608 * [taylor]: Taking taylor expansion of K in U 12.608 * [backup-simplify]: Simplify K into K 12.608 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.608 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.608 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.608 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.609 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.609 * [backup-simplify]: Simplify (- 0) into 0 12.609 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.609 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.610 * [backup-simplify]: Simplify (* 1 1) into 1 12.610 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.610 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 12.610 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 12.610 * [taylor]: Taking taylor expansion of 1 in U 12.610 * [backup-simplify]: Simplify 1 into 1 12.610 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 12.611 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 12.611 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 12.611 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.611 * [backup-simplify]: Simplify (+ 0) into 0 12.612 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.612 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.613 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.613 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.614 * [backup-simplify]: Simplify (- 0) into 0 12.614 * [backup-simplify]: Simplify (+ 0 0) into 0 12.614 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.616 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.616 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 12.617 * [backup-simplify]: Simplify (+ 0 0) into 0 12.617 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 12.617 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 12.617 * [taylor]: Taking taylor expansion of 1/2 in J 12.617 * [backup-simplify]: Simplify 1/2 into 1/2 12.617 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 12.617 * [taylor]: Taking taylor expansion of J in J 12.617 * [backup-simplify]: Simplify 0 into 0 12.617 * [backup-simplify]: Simplify 1 into 1 12.617 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.618 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.618 * [taylor]: Taking taylor expansion of 1/2 in J 12.618 * [backup-simplify]: Simplify 1/2 into 1/2 12.618 * [taylor]: Taking taylor expansion of K in J 12.618 * [backup-simplify]: Simplify K into K 12.618 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.618 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.618 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.618 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.618 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.618 * [backup-simplify]: Simplify (- 0) into 0 12.618 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.619 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 12.619 * [taylor]: Taking taylor expansion of 0 in J 12.619 * [backup-simplify]: Simplify 0 into 0 12.619 * [taylor]: Taking taylor expansion of 0 in K 12.619 * [backup-simplify]: Simplify 0 into 0 12.619 * [backup-simplify]: Simplify 0 into 0 12.619 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 12.619 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 12.619 * [taylor]: Taking taylor expansion of 1/2 in K 12.619 * [backup-simplify]: Simplify 1/2 into 1/2 12.619 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.619 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.619 * [taylor]: Taking taylor expansion of 1/2 in K 12.619 * [backup-simplify]: Simplify 1/2 into 1/2 12.619 * [taylor]: Taking taylor expansion of K in K 12.619 * [backup-simplify]: Simplify 0 into 0 12.619 * [backup-simplify]: Simplify 1 into 1 12.620 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.620 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.620 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 12.620 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 12.620 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 12.621 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.623 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.623 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.624 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.624 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.625 * [backup-simplify]: Simplify (- 0) into 0 12.625 * [backup-simplify]: Simplify (+ 0 0) into 0 12.626 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 12.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 12.628 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.629 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 12.629 * [backup-simplify]: Simplify (+ 0 1) into 1 12.630 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 12.630 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 12.630 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.630 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.630 * [taylor]: Taking taylor expansion of 1/2 in J 12.630 * [backup-simplify]: Simplify 1/2 into 1/2 12.630 * [taylor]: Taking taylor expansion of K in J 12.630 * [backup-simplify]: Simplify K into K 12.630 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.631 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.631 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.631 * [taylor]: Taking taylor expansion of J in J 12.631 * [backup-simplify]: Simplify 0 into 0 12.631 * [backup-simplify]: Simplify 1 into 1 12.631 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.631 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.631 * [backup-simplify]: Simplify (- 0) into 0 12.631 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.632 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.632 * [backup-simplify]: Simplify (+ 0) into 0 12.632 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.633 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.633 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.634 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.634 * [backup-simplify]: Simplify (- 0) into 0 12.635 * [backup-simplify]: Simplify (+ 0 0) into 0 12.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 12.636 * [taylor]: Taking taylor expansion of 0 in K 12.636 * [backup-simplify]: Simplify 0 into 0 12.636 * [backup-simplify]: Simplify 0 into 0 12.636 * [taylor]: Taking taylor expansion of 0 in K 12.636 * [backup-simplify]: Simplify 0 into 0 12.636 * [backup-simplify]: Simplify 0 into 0 12.636 * [backup-simplify]: Simplify (+ 0) into 0 12.637 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.637 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.638 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.638 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.638 * [backup-simplify]: Simplify (- 0) into 0 12.639 * [backup-simplify]: Simplify (+ 0 0) into 0 12.639 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 12.640 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 12.640 * [taylor]: Taking taylor expansion of 0 in K 12.640 * [backup-simplify]: Simplify 0 into 0 12.640 * [backup-simplify]: Simplify 0 into 0 12.640 * [backup-simplify]: Simplify 0 into 0 12.640 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 12.640 * [backup-simplify]: Simplify 0 into 0 12.641 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 12.642 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 12.643 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.643 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.645 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 12.645 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 12.646 * [backup-simplify]: Simplify (- 0) into 0 12.646 * [backup-simplify]: Simplify (+ 0 0) into 0 12.647 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 12.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.650 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.651 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 12.652 * [backup-simplify]: Simplify (+ 0 0) into 0 12.652 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 12.652 * [taylor]: Taking taylor expansion of 0 in J 12.652 * [backup-simplify]: Simplify 0 into 0 12.652 * [taylor]: Taking taylor expansion of 0 in K 12.652 * [backup-simplify]: Simplify 0 into 0 12.652 * [backup-simplify]: Simplify 0 into 0 12.653 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 12.653 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (+ (/ 1 (- J)) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (+ (/ 1 (- J)) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 12.653 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0 12.653 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 12.653 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 12.653 * [taylor]: Taking taylor expansion of 1 in K 12.654 * [backup-simplify]: Simplify 1 into 1 12.654 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 12.654 * [taylor]: Taking taylor expansion of 1/4 in K 12.654 * [backup-simplify]: Simplify 1/4 into 1/4 12.654 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 12.654 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.654 * [taylor]: Taking taylor expansion of J in K 12.654 * [backup-simplify]: Simplify J into J 12.654 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 12.654 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 12.654 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 12.654 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 12.654 * [taylor]: Taking taylor expansion of -1/2 in K 12.654 * [backup-simplify]: Simplify -1/2 into -1/2 12.654 * [taylor]: Taking taylor expansion of K in K 12.654 * [backup-simplify]: Simplify 0 into 0 12.654 * [backup-simplify]: Simplify 1 into 1 12.654 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.655 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.655 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.655 * [taylor]: Taking taylor expansion of U in K 12.655 * [backup-simplify]: Simplify U into U 12.655 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.655 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.655 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.655 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 12.655 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 12.656 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 12.656 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 12.656 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 12.657 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.657 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.657 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.657 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 12.658 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 12.658 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 12.659 * [backup-simplify]: Simplify (+ 0 0) into 0 12.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 12.659 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 12.659 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 12.659 * [taylor]: Taking taylor expansion of 1 in J 12.659 * [backup-simplify]: Simplify 1 into 1 12.659 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 12.659 * [taylor]: Taking taylor expansion of 1/4 in J 12.659 * [backup-simplify]: Simplify 1/4 into 1/4 12.660 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 12.660 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.660 * [taylor]: Taking taylor expansion of J in J 12.660 * [backup-simplify]: Simplify 0 into 0 12.660 * [backup-simplify]: Simplify 1 into 1 12.660 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 12.660 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 12.660 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.660 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.660 * [taylor]: Taking taylor expansion of -1/2 in J 12.660 * [backup-simplify]: Simplify -1/2 into -1/2 12.660 * [taylor]: Taking taylor expansion of K in J 12.660 * [backup-simplify]: Simplify K into K 12.660 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.660 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.660 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.660 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.660 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.661 * [backup-simplify]: Simplify (- 0) into 0 12.661 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.661 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.661 * [taylor]: Taking taylor expansion of U in J 12.661 * [backup-simplify]: Simplify U into U 12.661 * [backup-simplify]: Simplify (* 1 1) into 1 12.661 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.662 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.662 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 12.662 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 12.662 * [backup-simplify]: Simplify (+ 1 0) into 1 12.663 * [backup-simplify]: Simplify (sqrt 1) into 1 12.663 * [backup-simplify]: Simplify (+ 0 0) into 0 12.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.664 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 12.664 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 12.664 * [taylor]: Taking taylor expansion of 1 in U 12.664 * [backup-simplify]: Simplify 1 into 1 12.664 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 12.664 * [taylor]: Taking taylor expansion of 1/4 in U 12.664 * [backup-simplify]: Simplify 1/4 into 1/4 12.664 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 12.664 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.664 * [taylor]: Taking taylor expansion of J in U 12.664 * [backup-simplify]: Simplify J into J 12.664 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 12.664 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 12.664 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 12.664 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 12.665 * [taylor]: Taking taylor expansion of -1/2 in U 12.665 * [backup-simplify]: Simplify -1/2 into -1/2 12.665 * [taylor]: Taking taylor expansion of K in U 12.665 * [backup-simplify]: Simplify K into K 12.665 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.665 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.665 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.665 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.665 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.665 * [backup-simplify]: Simplify (- 0) into 0 12.666 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.666 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.666 * [taylor]: Taking taylor expansion of U in U 12.666 * [backup-simplify]: Simplify 0 into 0 12.666 * [backup-simplify]: Simplify 1 into 1 12.666 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.666 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.666 * [backup-simplify]: Simplify (* 1 1) into 1 12.666 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 12.667 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 12.667 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 12.667 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 12.667 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 12.667 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.669 * [backup-simplify]: Simplify (+ 0) into 0 12.669 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.669 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.670 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.671 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.671 * [backup-simplify]: Simplify (- 0) into 0 12.672 * [backup-simplify]: Simplify (+ 0 0) into 0 12.672 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.672 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 12.673 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.673 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 12.678 * [backup-simplify]: Simplify (+ 0 0) into 0 12.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 12.679 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 12.679 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 12.679 * [taylor]: Taking taylor expansion of 1 in U 12.679 * [backup-simplify]: Simplify 1 into 1 12.679 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 12.679 * [taylor]: Taking taylor expansion of 1/4 in U 12.679 * [backup-simplify]: Simplify 1/4 into 1/4 12.679 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 12.679 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.679 * [taylor]: Taking taylor expansion of J in U 12.679 * [backup-simplify]: Simplify J into J 12.679 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 12.679 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 12.679 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 12.679 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 12.679 * [taylor]: Taking taylor expansion of -1/2 in U 12.679 * [backup-simplify]: Simplify -1/2 into -1/2 12.679 * [taylor]: Taking taylor expansion of K in U 12.679 * [backup-simplify]: Simplify K into K 12.679 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.680 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.680 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.680 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.680 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.681 * [backup-simplify]: Simplify (- 0) into 0 12.681 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.681 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.681 * [taylor]: Taking taylor expansion of U in U 12.681 * [backup-simplify]: Simplify 0 into 0 12.681 * [backup-simplify]: Simplify 1 into 1 12.681 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.681 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.681 * [backup-simplify]: Simplify (* 1 1) into 1 12.682 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 12.682 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 12.682 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 12.682 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 12.682 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 12.683 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.683 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.684 * [backup-simplify]: Simplify (+ 0) into 0 12.684 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.684 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.685 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.686 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.686 * [backup-simplify]: Simplify (- 0) into 0 12.686 * [backup-simplify]: Simplify (+ 0 0) into 0 12.687 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.687 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 12.688 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.688 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 12.689 * [backup-simplify]: Simplify (+ 0 0) into 0 12.689 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 12.689 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 12.689 * [taylor]: Taking taylor expansion of 1/2 in J 12.689 * [backup-simplify]: Simplify 1/2 into 1/2 12.689 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 12.689 * [taylor]: Taking taylor expansion of J in J 12.689 * [backup-simplify]: Simplify 0 into 0 12.689 * [backup-simplify]: Simplify 1 into 1 12.689 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.689 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.689 * [taylor]: Taking taylor expansion of -1/2 in J 12.689 * [backup-simplify]: Simplify -1/2 into -1/2 12.689 * [taylor]: Taking taylor expansion of K in J 12.689 * [backup-simplify]: Simplify K into K 12.689 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.689 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.689 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.690 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.690 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.690 * [backup-simplify]: Simplify (- 0) into 0 12.690 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.690 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 12.690 * [taylor]: Taking taylor expansion of 0 in J 12.690 * [backup-simplify]: Simplify 0 into 0 12.690 * [taylor]: Taking taylor expansion of 0 in K 12.690 * [backup-simplify]: Simplify 0 into 0 12.690 * [backup-simplify]: Simplify 0 into 0 12.691 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 12.691 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 12.691 * [taylor]: Taking taylor expansion of 1/2 in K 12.691 * [backup-simplify]: Simplify 1/2 into 1/2 12.691 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 12.691 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 12.691 * [taylor]: Taking taylor expansion of -1/2 in K 12.691 * [backup-simplify]: Simplify -1/2 into -1/2 12.691 * [taylor]: Taking taylor expansion of K in K 12.691 * [backup-simplify]: Simplify 0 into 0 12.691 * [backup-simplify]: Simplify 1 into 1 12.691 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.691 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.691 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 12.691 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 12.692 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 12.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.693 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.693 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.693 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.694 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.694 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.694 * [backup-simplify]: Simplify (- 0) into 0 12.695 * [backup-simplify]: Simplify (+ 0 0) into 0 12.695 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 12.696 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 12.696 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.696 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 12.697 * [backup-simplify]: Simplify (+ 1 0) into 1 12.697 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 12.697 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 12.697 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.697 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.697 * [taylor]: Taking taylor expansion of -1/2 in J 12.697 * [backup-simplify]: Simplify -1/2 into -1/2 12.697 * [taylor]: Taking taylor expansion of K in J 12.697 * [backup-simplify]: Simplify K into K 12.697 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.697 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.698 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.698 * [taylor]: Taking taylor expansion of J in J 12.698 * [backup-simplify]: Simplify 0 into 0 12.698 * [backup-simplify]: Simplify 1 into 1 12.698 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.698 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.698 * [backup-simplify]: Simplify (- 0) into 0 12.698 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.698 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.698 * [backup-simplify]: Simplify (+ 0) into 0 12.699 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.699 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.699 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.700 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.700 * [backup-simplify]: Simplify (- 0) into 0 12.700 * [backup-simplify]: Simplify (+ 0 0) into 0 12.701 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 12.701 * [taylor]: Taking taylor expansion of 0 in K 12.701 * [backup-simplify]: Simplify 0 into 0 12.701 * [backup-simplify]: Simplify 0 into 0 12.701 * [taylor]: Taking taylor expansion of 0 in K 12.701 * [backup-simplify]: Simplify 0 into 0 12.701 * [backup-simplify]: Simplify 0 into 0 12.701 * [backup-simplify]: Simplify (+ 0) into 0 12.701 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.701 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.702 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.702 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.702 * [backup-simplify]: Simplify (- 0) into 0 12.703 * [backup-simplify]: Simplify (+ 0 0) into 0 12.703 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 12.703 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 12.703 * [taylor]: Taking taylor expansion of 0 in K 12.703 * [backup-simplify]: Simplify 0 into 0 12.703 * [backup-simplify]: Simplify 0 into 0 12.703 * [backup-simplify]: Simplify 0 into 0 12.703 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 12.703 * [backup-simplify]: Simplify 0 into 0 12.704 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 12.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.705 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 12.706 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.706 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.707 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 12.707 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 12.707 * [backup-simplify]: Simplify (- 0) into 0 12.708 * [backup-simplify]: Simplify (+ 0 0) into 0 12.708 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 12.709 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.709 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.710 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 12.710 * [backup-simplify]: Simplify (+ 0 0) into 0 12.710 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 12.710 * [taylor]: Taking taylor expansion of 0 in J 12.710 * [backup-simplify]: Simplify 0 into 0 12.710 * [taylor]: Taking taylor expansion of 0 in K 12.710 * [backup-simplify]: Simplify 0 into 0 12.710 * [backup-simplify]: Simplify 0 into 0 12.710 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 12.710 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1) 12.711 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 12.711 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0 12.711 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 12.711 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 12.711 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 12.711 * [taylor]: Taking taylor expansion of 1/4 in K 12.711 * [backup-simplify]: Simplify 1/4 into 1/4 12.711 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 12.711 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.711 * [taylor]: Taking taylor expansion of U in K 12.711 * [backup-simplify]: Simplify U into U 12.711 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 12.711 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 12.711 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 12.711 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 12.711 * [taylor]: Taking taylor expansion of 1/2 in K 12.711 * [backup-simplify]: Simplify 1/2 into 1/2 12.711 * [taylor]: Taking taylor expansion of K in K 12.711 * [backup-simplify]: Simplify 0 into 0 12.711 * [backup-simplify]: Simplify 1 into 1 12.711 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.712 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.712 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.712 * [taylor]: Taking taylor expansion of J in K 12.712 * [backup-simplify]: Simplify J into J 12.712 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.712 * [backup-simplify]: Simplify (* 1 1) into 1 12.712 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.712 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 12.712 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 12.712 * [taylor]: Taking taylor expansion of 1 in K 12.712 * [backup-simplify]: Simplify 1 into 1 12.713 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 12.713 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 12.713 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 12.713 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.713 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.713 * [backup-simplify]: Simplify (+ 0) into 0 12.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 12.714 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 12.714 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 12.715 * [backup-simplify]: Simplify (+ 0 0) into 0 12.715 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 12.715 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 12.715 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 12.715 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 12.715 * [taylor]: Taking taylor expansion of 1/4 in J 12.715 * [backup-simplify]: Simplify 1/4 into 1/4 12.715 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 12.715 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.715 * [taylor]: Taking taylor expansion of U in J 12.715 * [backup-simplify]: Simplify U into U 12.715 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 12.715 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 12.715 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 12.715 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 12.715 * [taylor]: Taking taylor expansion of 1/2 in J 12.715 * [backup-simplify]: Simplify 1/2 into 1/2 12.715 * [taylor]: Taking taylor expansion of K in J 12.715 * [backup-simplify]: Simplify K into K 12.715 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.715 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.715 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.715 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.715 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.716 * [backup-simplify]: Simplify (- 0) into 0 12.716 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.716 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.716 * [taylor]: Taking taylor expansion of J in J 12.716 * [backup-simplify]: Simplify 0 into 0 12.716 * [backup-simplify]: Simplify 1 into 1 12.716 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.716 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.716 * [backup-simplify]: Simplify (* 1 1) into 1 12.716 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 12.716 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 12.716 * [taylor]: Taking taylor expansion of 1 in J 12.716 * [backup-simplify]: Simplify 1 into 1 12.716 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 12.716 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 12.717 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 12.717 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.717 * [backup-simplify]: Simplify (+ 0) into 0 12.718 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 12.718 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 12.718 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.719 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 12.719 * [backup-simplify]: Simplify (- 0) into 0 12.719 * [backup-simplify]: Simplify (+ 0 0) into 0 12.719 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 12.720 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 12.720 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 12.721 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 12.721 * [backup-simplify]: Simplify (+ 0 0) into 0 12.721 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 12.721 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 12.722 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 12.722 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 12.722 * [taylor]: Taking taylor expansion of 1/4 in U 12.722 * [backup-simplify]: Simplify 1/4 into 1/4 12.722 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 12.722 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.722 * [taylor]: Taking taylor expansion of U in U 12.722 * [backup-simplify]: Simplify 0 into 0 12.722 * [backup-simplify]: Simplify 1 into 1 12.722 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 12.722 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 12.722 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 12.722 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 12.722 * [taylor]: Taking taylor expansion of 1/2 in U 12.722 * [backup-simplify]: Simplify 1/2 into 1/2 12.722 * [taylor]: Taking taylor expansion of K in U 12.722 * [backup-simplify]: Simplify K into K 12.722 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.722 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.722 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.722 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.722 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.723 * [backup-simplify]: Simplify (- 0) into 0 12.723 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.723 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.723 * [taylor]: Taking taylor expansion of J in U 12.723 * [backup-simplify]: Simplify J into J 12.723 * [backup-simplify]: Simplify (* 1 1) into 1 12.723 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.724 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.724 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 12.724 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.724 * [taylor]: Taking taylor expansion of 1 in U 12.724 * [backup-simplify]: Simplify 1 into 1 12.724 * [backup-simplify]: Simplify (+ 0 1) into 1 12.725 * [backup-simplify]: Simplify (sqrt 1) into 1 12.725 * [backup-simplify]: Simplify (+ 0 0) into 0 12.726 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.726 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 12.726 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 12.726 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 12.726 * [taylor]: Taking taylor expansion of 1/4 in U 12.726 * [backup-simplify]: Simplify 1/4 into 1/4 12.726 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 12.726 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.726 * [taylor]: Taking taylor expansion of U in U 12.726 * [backup-simplify]: Simplify 0 into 0 12.726 * [backup-simplify]: Simplify 1 into 1 12.726 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 12.726 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 12.726 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 12.726 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 12.726 * [taylor]: Taking taylor expansion of 1/2 in U 12.726 * [backup-simplify]: Simplify 1/2 into 1/2 12.726 * [taylor]: Taking taylor expansion of K in U 12.726 * [backup-simplify]: Simplify K into K 12.727 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.727 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.727 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.727 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.727 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.727 * [backup-simplify]: Simplify (- 0) into 0 12.727 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.727 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.727 * [taylor]: Taking taylor expansion of J in U 12.727 * [backup-simplify]: Simplify J into J 12.728 * [backup-simplify]: Simplify (* 1 1) into 1 12.728 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.728 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.728 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 12.728 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.728 * [taylor]: Taking taylor expansion of 1 in U 12.728 * [backup-simplify]: Simplify 1 into 1 12.729 * [backup-simplify]: Simplify (+ 0 1) into 1 12.729 * [backup-simplify]: Simplify (sqrt 1) into 1 12.730 * [backup-simplify]: Simplify (+ 0 0) into 0 12.730 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.731 * [taylor]: Taking taylor expansion of 1 in J 12.731 * [backup-simplify]: Simplify 1 into 1 12.731 * [taylor]: Taking taylor expansion of 0 in J 12.731 * [backup-simplify]: Simplify 0 into 0 12.731 * [taylor]: Taking taylor expansion of 1 in K 12.731 * [backup-simplify]: Simplify 1 into 1 12.731 * [backup-simplify]: Simplify 1 into 1 12.731 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.731 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 12.733 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.733 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 12.733 * [taylor]: Taking taylor expansion of 1/8 in J 12.733 * [backup-simplify]: Simplify 1/8 into 1/8 12.733 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 12.733 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 12.733 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 12.733 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 12.733 * [taylor]: Taking taylor expansion of 1/2 in J 12.733 * [backup-simplify]: Simplify 1/2 into 1/2 12.733 * [taylor]: Taking taylor expansion of K in J 12.734 * [backup-simplify]: Simplify K into K 12.734 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.734 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.734 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.734 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.734 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.734 * [backup-simplify]: Simplify (- 0) into 0 12.734 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.734 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.734 * [taylor]: Taking taylor expansion of J in J 12.734 * [backup-simplify]: Simplify 0 into 0 12.735 * [backup-simplify]: Simplify 1 into 1 12.735 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.735 * [backup-simplify]: Simplify (* 1 1) into 1 12.735 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 12.735 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 12.736 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.736 * [backup-simplify]: Simplify (+ 0) into 0 12.737 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 12.738 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 12.739 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.739 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 12.739 * [backup-simplify]: Simplify (- 0) into 0 12.740 * [backup-simplify]: Simplify (+ 0 0) into 0 12.740 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 12.741 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 12.741 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 12.741 * [taylor]: Taking taylor expansion of 0 in K 12.741 * [backup-simplify]: Simplify 0 into 0 12.741 * [backup-simplify]: Simplify 0 into 0 12.741 * [taylor]: Taking taylor expansion of 0 in K 12.741 * [backup-simplify]: Simplify 0 into 0 12.741 * [backup-simplify]: Simplify 0 into 0 12.741 * [taylor]: Taking taylor expansion of 0 in K 12.741 * [backup-simplify]: Simplify 0 into 0 12.741 * [backup-simplify]: Simplify 0 into 0 12.741 * [backup-simplify]: Simplify 0 into 0 12.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.742 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.742 * [backup-simplify]: Simplify (+ 0) into 0 12.743 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 12.744 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 12.744 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.745 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 12.745 * [backup-simplify]: Simplify (- 0) into 0 12.746 * [backup-simplify]: Simplify (+ 0 0) into 0 12.746 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 12.746 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 12.746 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 12.747 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 12.748 * [backup-simplify]: Simplify (+ 0 0) into 0 12.748 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 12.748 * [taylor]: Taking taylor expansion of 0 in J 12.748 * [backup-simplify]: Simplify 0 into 0 12.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.750 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.751 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.752 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 12.753 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.753 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.754 * [backup-simplify]: Simplify (- 0) into 0 12.754 * [backup-simplify]: Simplify (+ 0 0) into 0 12.755 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 12.755 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 12.756 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 12.756 * [taylor]: Taking taylor expansion of 0 in K 12.756 * [backup-simplify]: Simplify 0 into 0 12.756 * [backup-simplify]: Simplify 0 into 0 12.756 * [taylor]: Taking taylor expansion of 0 in K 12.756 * [backup-simplify]: Simplify 0 into 0 12.756 * [backup-simplify]: Simplify 0 into 0 12.756 * [backup-simplify]: Simplify 1 into 1 12.757 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (+ (/ 1 J) (/ 1 J)) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (+ (/ 1 J) (/ 1 J)) (cos (/ (/ 1 K) 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 12.757 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0 12.757 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 12.757 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 12.757 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 12.757 * [taylor]: Taking taylor expansion of 1/4 in K 12.757 * [backup-simplify]: Simplify 1/4 into 1/4 12.757 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 12.757 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.757 * [taylor]: Taking taylor expansion of J in K 12.757 * [backup-simplify]: Simplify J into J 12.757 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 12.757 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.757 * [taylor]: Taking taylor expansion of U in K 12.757 * [backup-simplify]: Simplify U into U 12.757 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 12.757 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.757 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.757 * [taylor]: Taking taylor expansion of 1/2 in K 12.757 * [backup-simplify]: Simplify 1/2 into 1/2 12.757 * [taylor]: Taking taylor expansion of K in K 12.757 * [backup-simplify]: Simplify 0 into 0 12.757 * [backup-simplify]: Simplify 1 into 1 12.758 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.758 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.758 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.758 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.758 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.758 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 12.759 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 12.759 * [taylor]: Taking taylor expansion of 1 in K 12.759 * [backup-simplify]: Simplify 1 into 1 12.759 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 12.759 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 12.760 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 12.760 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.760 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.760 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.760 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.760 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 12.761 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 12.761 * [backup-simplify]: Simplify (+ 0 0) into 0 12.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 12.761 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 12.761 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 12.761 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 12.761 * [taylor]: Taking taylor expansion of 1/4 in J 12.761 * [backup-simplify]: Simplify 1/4 into 1/4 12.761 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 12.761 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.761 * [taylor]: Taking taylor expansion of J in J 12.761 * [backup-simplify]: Simplify 0 into 0 12.761 * [backup-simplify]: Simplify 1 into 1 12.761 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 12.761 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.762 * [taylor]: Taking taylor expansion of U in J 12.762 * [backup-simplify]: Simplify U into U 12.762 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 12.762 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.762 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.762 * [taylor]: Taking taylor expansion of 1/2 in J 12.762 * [backup-simplify]: Simplify 1/2 into 1/2 12.762 * [taylor]: Taking taylor expansion of K in J 12.762 * [backup-simplify]: Simplify K into K 12.762 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.762 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.762 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.762 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.762 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.762 * [backup-simplify]: Simplify (- 0) into 0 12.762 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.762 * [backup-simplify]: Simplify (* 1 1) into 1 12.762 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.763 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.763 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 12.763 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 12.763 * [taylor]: Taking taylor expansion of 1 in J 12.763 * [backup-simplify]: Simplify 1 into 1 12.763 * [backup-simplify]: Simplify (+ 0 1) into 1 12.763 * [backup-simplify]: Simplify (sqrt 1) into 1 12.764 * [backup-simplify]: Simplify (+ 0 0) into 0 12.764 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.764 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 12.764 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 12.764 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 12.764 * [taylor]: Taking taylor expansion of 1/4 in U 12.764 * [backup-simplify]: Simplify 1/4 into 1/4 12.764 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 12.764 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.764 * [taylor]: Taking taylor expansion of J in U 12.764 * [backup-simplify]: Simplify J into J 12.764 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 12.764 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.764 * [taylor]: Taking taylor expansion of U in U 12.764 * [backup-simplify]: Simplify 0 into 0 12.764 * [backup-simplify]: Simplify 1 into 1 12.764 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 12.764 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 12.765 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 12.765 * [taylor]: Taking taylor expansion of 1/2 in U 12.765 * [backup-simplify]: Simplify 1/2 into 1/2 12.765 * [taylor]: Taking taylor expansion of K in U 12.765 * [backup-simplify]: Simplify K into K 12.765 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.765 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.765 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.765 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.765 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.765 * [backup-simplify]: Simplify (- 0) into 0 12.765 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.765 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.766 * [backup-simplify]: Simplify (* 1 1) into 1 12.766 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.766 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 12.766 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 12.766 * [taylor]: Taking taylor expansion of 1 in U 12.766 * [backup-simplify]: Simplify 1 into 1 12.766 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 12.766 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 12.766 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 12.767 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.767 * [backup-simplify]: Simplify (+ 0) into 0 12.767 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.767 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.768 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.768 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.768 * [backup-simplify]: Simplify (- 0) into 0 12.768 * [backup-simplify]: Simplify (+ 0 0) into 0 12.769 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.770 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.770 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 12.770 * [backup-simplify]: Simplify (+ 0 0) into 0 12.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 12.770 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 12.770 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 12.770 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 12.770 * [taylor]: Taking taylor expansion of 1/4 in U 12.770 * [backup-simplify]: Simplify 1/4 into 1/4 12.770 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 12.770 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.770 * [taylor]: Taking taylor expansion of J in U 12.770 * [backup-simplify]: Simplify J into J 12.770 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 12.771 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.771 * [taylor]: Taking taylor expansion of U in U 12.771 * [backup-simplify]: Simplify 0 into 0 12.771 * [backup-simplify]: Simplify 1 into 1 12.771 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 12.771 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 12.771 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 12.771 * [taylor]: Taking taylor expansion of 1/2 in U 12.771 * [backup-simplify]: Simplify 1/2 into 1/2 12.771 * [taylor]: Taking taylor expansion of K in U 12.771 * [backup-simplify]: Simplify K into K 12.771 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.771 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.771 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.771 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.771 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.771 * [backup-simplify]: Simplify (- 0) into 0 12.771 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.771 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.771 * [backup-simplify]: Simplify (* 1 1) into 1 12.772 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.772 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 12.772 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 12.772 * [taylor]: Taking taylor expansion of 1 in U 12.772 * [backup-simplify]: Simplify 1 into 1 12.772 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 12.772 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 12.772 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 12.772 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.772 * [backup-simplify]: Simplify (+ 0) into 0 12.773 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.773 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.773 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.774 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.774 * [backup-simplify]: Simplify (- 0) into 0 12.774 * [backup-simplify]: Simplify (+ 0 0) into 0 12.774 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.775 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.776 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 12.776 * [backup-simplify]: Simplify (+ 0 0) into 0 12.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 12.776 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 12.776 * [taylor]: Taking taylor expansion of 1/2 in J 12.776 * [backup-simplify]: Simplify 1/2 into 1/2 12.776 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 12.776 * [taylor]: Taking taylor expansion of J in J 12.776 * [backup-simplify]: Simplify 0 into 0 12.776 * [backup-simplify]: Simplify 1 into 1 12.776 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.776 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.776 * [taylor]: Taking taylor expansion of 1/2 in J 12.776 * [backup-simplify]: Simplify 1/2 into 1/2 12.776 * [taylor]: Taking taylor expansion of K in J 12.776 * [backup-simplify]: Simplify K into K 12.776 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.776 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.776 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.776 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.776 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.777 * [backup-simplify]: Simplify (- 0) into 0 12.777 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.777 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 12.777 * [taylor]: Taking taylor expansion of 0 in J 12.777 * [backup-simplify]: Simplify 0 into 0 12.777 * [taylor]: Taking taylor expansion of 0 in K 12.777 * [backup-simplify]: Simplify 0 into 0 12.777 * [backup-simplify]: Simplify 0 into 0 12.777 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 12.777 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 12.777 * [taylor]: Taking taylor expansion of 1/2 in K 12.777 * [backup-simplify]: Simplify 1/2 into 1/2 12.777 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.777 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.777 * [taylor]: Taking taylor expansion of 1/2 in K 12.777 * [backup-simplify]: Simplify 1/2 into 1/2 12.777 * [taylor]: Taking taylor expansion of K in K 12.777 * [backup-simplify]: Simplify 0 into 0 12.777 * [backup-simplify]: Simplify 1 into 1 12.777 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.777 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.778 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 12.778 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 12.778 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 12.778 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.779 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.779 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.780 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.780 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.780 * [backup-simplify]: Simplify (- 0) into 0 12.780 * [backup-simplify]: Simplify (+ 0 0) into 0 12.781 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 12.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 12.782 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.783 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 12.783 * [backup-simplify]: Simplify (+ 0 1) into 1 12.784 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 12.784 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 12.784 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.784 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.784 * [taylor]: Taking taylor expansion of 1/2 in J 12.784 * [backup-simplify]: Simplify 1/2 into 1/2 12.784 * [taylor]: Taking taylor expansion of K in J 12.784 * [backup-simplify]: Simplify K into K 12.784 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.784 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.784 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.784 * [taylor]: Taking taylor expansion of J in J 12.784 * [backup-simplify]: Simplify 0 into 0 12.784 * [backup-simplify]: Simplify 1 into 1 12.784 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.784 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.784 * [backup-simplify]: Simplify (- 0) into 0 12.784 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.784 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.785 * [backup-simplify]: Simplify (+ 0) into 0 12.785 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.785 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.786 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.786 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.786 * [backup-simplify]: Simplify (- 0) into 0 12.786 * [backup-simplify]: Simplify (+ 0 0) into 0 12.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 12.787 * [taylor]: Taking taylor expansion of 0 in K 12.787 * [backup-simplify]: Simplify 0 into 0 12.787 * [backup-simplify]: Simplify 0 into 0 12.787 * [taylor]: Taking taylor expansion of 0 in K 12.787 * [backup-simplify]: Simplify 0 into 0 12.787 * [backup-simplify]: Simplify 0 into 0 12.787 * [backup-simplify]: Simplify (+ 0) into 0 12.788 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.788 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.789 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.789 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.790 * [backup-simplify]: Simplify (- 0) into 0 12.790 * [backup-simplify]: Simplify (+ 0 0) into 0 12.790 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 12.791 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 12.791 * [taylor]: Taking taylor expansion of 0 in K 12.791 * [backup-simplify]: Simplify 0 into 0 12.791 * [backup-simplify]: Simplify 0 into 0 12.791 * [backup-simplify]: Simplify 0 into 0 12.791 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 12.791 * [backup-simplify]: Simplify 0 into 0 12.792 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 12.793 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 12.794 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.795 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.800 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 12.802 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 12.802 * [backup-simplify]: Simplify (- 0) into 0 12.803 * [backup-simplify]: Simplify (+ 0 0) into 0 12.804 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 12.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.807 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.808 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 12.809 * [backup-simplify]: Simplify (+ 0 0) into 0 12.809 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 12.809 * [taylor]: Taking taylor expansion of 0 in J 12.809 * [backup-simplify]: Simplify 0 into 0 12.809 * [taylor]: Taking taylor expansion of 0 in K 12.809 * [backup-simplify]: Simplify 0 into 0 12.809 * [backup-simplify]: Simplify 0 into 0 12.809 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 12.810 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (+ (/ 1 (- J)) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (+ (/ 1 (- J)) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 12.810 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0 12.810 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 12.810 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 12.810 * [taylor]: Taking taylor expansion of 1 in K 12.810 * [backup-simplify]: Simplify 1 into 1 12.810 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 12.810 * [taylor]: Taking taylor expansion of 1/4 in K 12.810 * [backup-simplify]: Simplify 1/4 into 1/4 12.810 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 12.810 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.810 * [taylor]: Taking taylor expansion of J in K 12.810 * [backup-simplify]: Simplify J into J 12.810 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 12.811 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 12.811 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 12.811 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 12.811 * [taylor]: Taking taylor expansion of -1/2 in K 12.811 * [backup-simplify]: Simplify -1/2 into -1/2 12.811 * [taylor]: Taking taylor expansion of K in K 12.811 * [backup-simplify]: Simplify 0 into 0 12.811 * [backup-simplify]: Simplify 1 into 1 12.811 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.811 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.811 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.811 * [taylor]: Taking taylor expansion of U in K 12.812 * [backup-simplify]: Simplify U into U 12.812 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.812 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.812 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.812 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 12.812 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 12.812 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 12.813 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 12.813 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 12.813 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.813 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.814 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.814 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 12.814 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 12.815 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 12.816 * [backup-simplify]: Simplify (+ 0 0) into 0 12.816 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 12.816 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 12.816 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 12.816 * [taylor]: Taking taylor expansion of 1 in J 12.816 * [backup-simplify]: Simplify 1 into 1 12.816 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 12.816 * [taylor]: Taking taylor expansion of 1/4 in J 12.816 * [backup-simplify]: Simplify 1/4 into 1/4 12.816 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 12.817 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.817 * [taylor]: Taking taylor expansion of J in J 12.817 * [backup-simplify]: Simplify 0 into 0 12.817 * [backup-simplify]: Simplify 1 into 1 12.817 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 12.817 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 12.817 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.817 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.817 * [taylor]: Taking taylor expansion of -1/2 in J 12.817 * [backup-simplify]: Simplify -1/2 into -1/2 12.817 * [taylor]: Taking taylor expansion of K in J 12.817 * [backup-simplify]: Simplify K into K 12.817 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.817 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.817 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.817 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.817 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.818 * [backup-simplify]: Simplify (- 0) into 0 12.818 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.818 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.818 * [taylor]: Taking taylor expansion of U in J 12.818 * [backup-simplify]: Simplify U into U 12.818 * [backup-simplify]: Simplify (* 1 1) into 1 12.818 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.818 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.819 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 12.819 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 12.819 * [backup-simplify]: Simplify (+ 1 0) into 1 12.820 * [backup-simplify]: Simplify (sqrt 1) into 1 12.820 * [backup-simplify]: Simplify (+ 0 0) into 0 12.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.821 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 12.821 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 12.821 * [taylor]: Taking taylor expansion of 1 in U 12.821 * [backup-simplify]: Simplify 1 into 1 12.821 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 12.821 * [taylor]: Taking taylor expansion of 1/4 in U 12.821 * [backup-simplify]: Simplify 1/4 into 1/4 12.821 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 12.821 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.821 * [taylor]: Taking taylor expansion of J in U 12.821 * [backup-simplify]: Simplify J into J 12.821 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 12.821 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 12.821 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 12.821 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 12.821 * [taylor]: Taking taylor expansion of -1/2 in U 12.821 * [backup-simplify]: Simplify -1/2 into -1/2 12.822 * [taylor]: Taking taylor expansion of K in U 12.822 * [backup-simplify]: Simplify K into K 12.822 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.822 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.822 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.822 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.822 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.822 * [backup-simplify]: Simplify (- 0) into 0 12.823 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.823 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.823 * [taylor]: Taking taylor expansion of U in U 12.823 * [backup-simplify]: Simplify 0 into 0 12.823 * [backup-simplify]: Simplify 1 into 1 12.823 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.823 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.823 * [backup-simplify]: Simplify (* 1 1) into 1 12.823 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 12.824 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 12.824 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 12.824 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 12.825 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 12.825 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.826 * [backup-simplify]: Simplify (+ 0) into 0 12.827 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.827 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.828 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.828 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.828 * [backup-simplify]: Simplify (- 0) into 0 12.829 * [backup-simplify]: Simplify (+ 0 0) into 0 12.829 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.830 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 12.830 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.831 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 12.831 * [backup-simplify]: Simplify (+ 0 0) into 0 12.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 12.831 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 12.831 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 12.831 * [taylor]: Taking taylor expansion of 1 in U 12.831 * [backup-simplify]: Simplify 1 into 1 12.831 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 12.832 * [taylor]: Taking taylor expansion of 1/4 in U 12.832 * [backup-simplify]: Simplify 1/4 into 1/4 12.832 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 12.832 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.832 * [taylor]: Taking taylor expansion of J in U 12.832 * [backup-simplify]: Simplify J into J 12.832 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 12.832 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 12.832 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 12.832 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 12.832 * [taylor]: Taking taylor expansion of -1/2 in U 12.832 * [backup-simplify]: Simplify -1/2 into -1/2 12.832 * [taylor]: Taking taylor expansion of K in U 12.832 * [backup-simplify]: Simplify K into K 12.832 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.832 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.832 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.832 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.832 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.833 * [backup-simplify]: Simplify (- 0) into 0 12.833 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.833 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.833 * [taylor]: Taking taylor expansion of U in U 12.833 * [backup-simplify]: Simplify 0 into 0 12.833 * [backup-simplify]: Simplify 1 into 1 12.833 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.833 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.833 * [backup-simplify]: Simplify (* 1 1) into 1 12.834 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 12.834 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 12.834 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 12.834 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 12.835 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 12.835 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.836 * [backup-simplify]: Simplify (+ 0) into 0 12.836 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.836 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.837 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.838 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.838 * [backup-simplify]: Simplify (- 0) into 0 12.838 * [backup-simplify]: Simplify (+ 0 0) into 0 12.839 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.839 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 12.840 * [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))))) into 0 12.840 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 12.841 * [backup-simplify]: Simplify (+ 0 0) into 0 12.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 12.841 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 12.841 * [taylor]: Taking taylor expansion of 1/2 in J 12.841 * [backup-simplify]: Simplify 1/2 into 1/2 12.841 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 12.841 * [taylor]: Taking taylor expansion of J in J 12.841 * [backup-simplify]: Simplify 0 into 0 12.841 * [backup-simplify]: Simplify 1 into 1 12.841 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.841 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.841 * [taylor]: Taking taylor expansion of -1/2 in J 12.841 * [backup-simplify]: Simplify -1/2 into -1/2 12.841 * [taylor]: Taking taylor expansion of K in J 12.841 * [backup-simplify]: Simplify K into K 12.841 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.841 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.842 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.842 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.842 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.842 * [backup-simplify]: Simplify (- 0) into 0 12.842 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.842 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 12.842 * [taylor]: Taking taylor expansion of 0 in J 12.842 * [backup-simplify]: Simplify 0 into 0 12.842 * [taylor]: Taking taylor expansion of 0 in K 12.842 * [backup-simplify]: Simplify 0 into 0 12.843 * [backup-simplify]: Simplify 0 into 0 12.843 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 12.843 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 12.843 * [taylor]: Taking taylor expansion of 1/2 in K 12.843 * [backup-simplify]: Simplify 1/2 into 1/2 12.843 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 12.843 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 12.843 * [taylor]: Taking taylor expansion of -1/2 in K 12.843 * [backup-simplify]: Simplify -1/2 into -1/2 12.843 * [taylor]: Taking taylor expansion of K in K 12.843 * [backup-simplify]: Simplify 0 into 0 12.843 * [backup-simplify]: Simplify 1 into 1 12.843 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.843 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.844 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 12.844 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 12.844 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 12.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.846 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.847 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.847 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.848 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.848 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.849 * [backup-simplify]: Simplify (- 0) into 0 12.849 * [backup-simplify]: Simplify (+ 0 0) into 0 12.850 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 12.850 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 12.851 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.852 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 12.852 * [backup-simplify]: Simplify (+ 1 0) into 1 12.853 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 12.853 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 12.853 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.853 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.853 * [taylor]: Taking taylor expansion of -1/2 in J 12.854 * [backup-simplify]: Simplify -1/2 into -1/2 12.854 * [taylor]: Taking taylor expansion of K in J 12.854 * [backup-simplify]: Simplify K into K 12.854 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.854 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.854 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.854 * [taylor]: Taking taylor expansion of J in J 12.854 * [backup-simplify]: Simplify 0 into 0 12.854 * [backup-simplify]: Simplify 1 into 1 12.854 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.854 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.855 * [backup-simplify]: Simplify (- 0) into 0 12.855 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.855 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.855 * [backup-simplify]: Simplify (+ 0) into 0 12.856 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.856 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.857 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.857 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.857 * [backup-simplify]: Simplify (- 0) into 0 12.858 * [backup-simplify]: Simplify (+ 0 0) into 0 12.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 12.859 * [taylor]: Taking taylor expansion of 0 in K 12.859 * [backup-simplify]: Simplify 0 into 0 12.859 * [backup-simplify]: Simplify 0 into 0 12.859 * [taylor]: Taking taylor expansion of 0 in K 12.859 * [backup-simplify]: Simplify 0 into 0 12.859 * [backup-simplify]: Simplify 0 into 0 12.859 * [backup-simplify]: Simplify (+ 0) into 0 12.860 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.860 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.861 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.861 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.862 * [backup-simplify]: Simplify (- 0) into 0 12.862 * [backup-simplify]: Simplify (+ 0 0) into 0 12.862 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 12.863 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 12.863 * [taylor]: Taking taylor expansion of 0 in K 12.863 * [backup-simplify]: Simplify 0 into 0 12.863 * [backup-simplify]: Simplify 0 into 0 12.863 * [backup-simplify]: Simplify 0 into 0 12.863 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 12.863 * [backup-simplify]: Simplify 0 into 0 12.864 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 12.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.866 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 12.867 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.867 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.869 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 12.870 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 12.870 * [backup-simplify]: Simplify (- 0) into 0 12.871 * [backup-simplify]: Simplify (+ 0 0) into 0 12.872 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 12.873 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.873 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.875 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 12.875 * [backup-simplify]: Simplify (+ 0 0) into 0 12.876 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 12.876 * [taylor]: Taking taylor expansion of 0 in J 12.876 * [backup-simplify]: Simplify 0 into 0 12.876 * [taylor]: Taking taylor expansion of 0 in K 12.876 * [backup-simplify]: Simplify 0 into 0 12.876 * [backup-simplify]: Simplify 0 into 0 12.876 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 12.876 * * * [progress]: simplifying candidates 12.876 * * * * [progress]: [ 1 / 76 ] simplifiying candidate # 12.876 * * * * [progress]: [ 2 / 76 ] simplifiying candidate # 12.876 * * * * [progress]: [ 3 / 76 ] simplifiying candidate # 12.876 * * * * [progress]: [ 4 / 76 ] simplifiying candidate # 12.877 * * * * [progress]: [ 5 / 76 ] simplifiying candidate # 12.877 * * * * [progress]: [ 6 / 76 ] simplifiying candidate # 12.877 * * * * [progress]: [ 7 / 76 ] simplifiying candidate # 12.877 * * * * [progress]: [ 8 / 76 ] simplifiying candidate # 12.877 * * * * [progress]: [ 9 / 76 ] simplifiying candidate # 12.877 * * * * [progress]: [ 10 / 76 ] simplifiying candidate # 12.877 * * * * [progress]: [ 11 / 76 ] simplifiying candidate # 12.877 * * * * [progress]: [ 12 / 76 ] simplifiying candidate # 12.877 * * * * [progress]: [ 13 / 76 ] simplifiying candidate # 12.878 * * * * [progress]: [ 14 / 76 ] simplifiying candidate # 12.878 * * * * [progress]: [ 15 / 76 ] simplifiying candidate # 12.878 * * * * [progress]: [ 16 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))> 12.878 * * * * [progress]: [ 17 / 76 ] simplifiying candidate # 12.878 * * * * [progress]: [ 18 / 76 ] simplifiying candidate # 12.878 * * * * [progress]: [ 19 / 76 ] simplifiying candidate # 12.878 * * * * [progress]: [ 20 / 76 ] simplifiying candidate # 12.878 * * * * [progress]: [ 21 / 76 ] simplifiying candidate # 12.878 * * * * [progress]: [ 22 / 76 ] simplifiying candidate # 12.878 * * * * [progress]: [ 23 / 76 ] simplifiying candidate # 12.878 * * * * [progress]: [ 24 / 76 ] simplifiying candidate # 12.879 * * * * [progress]: [ 25 / 76 ] simplifiying candidate # 12.879 * * * * [progress]: [ 26 / 76 ] simplifiying candidate # 12.879 * * * * [progress]: [ 27 / 76 ] simplifiying candidate # 12.879 * * * * [progress]: [ 28 / 76 ] simplifiying candidate # 12.879 * * * * [progress]: [ 29 / 76 ] simplifiying candidate # 12.879 * * * * [progress]: [ 30 / 76 ] simplifiying candidate # 12.879 * * * * [progress]: [ 31 / 76 ] simplifiying candidate # 12.879 * * * * [progress]: [ 32 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))))))) (* (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))> 12.879 * * * * [progress]: [ 33 / 76 ] simplifiying candidate # 12.879 * * * * [progress]: [ 34 / 76 ] simplifiying candidate # 12.880 * * * * [progress]: [ 35 / 76 ] simplifiying candidate # 12.880 * * * * [progress]: [ 36 / 76 ] simplifiying candidate # 12.880 * * * * [progress]: [ 37 / 76 ] simplifiying candidate # 12.880 * * * * [progress]: [ 38 / 76 ] simplifiying candidate # 12.880 * * * * [progress]: [ 39 / 76 ] simplifiying candidate # 12.880 * * * * [progress]: [ 40 / 76 ] simplifiying candidate # 12.880 * * * * [progress]: [ 41 / 76 ] simplifiying candidate # 12.880 * * * * [progress]: [ 42 / 76 ] simplifiying candidate # 12.880 * * * * [progress]: [ 43 / 76 ] simplifiying candidate # 12.881 * * * * [progress]: [ 44 / 76 ] simplifiying candidate # 12.881 * * * * [progress]: [ 45 / 76 ] simplifiying candidate # 12.881 * * * * [progress]: [ 46 / 76 ] simplifiying candidate # 12.881 * * * * [progress]: [ 47 / 76 ] simplifiying candidate # 12.881 * * * * [progress]: [ 48 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))))) (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))))) (* (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))> 12.881 * * * * [progress]: [ 49 / 76 ] simplifiying candidate # 12.881 * * * * [progress]: [ 50 / 76 ] simplifiying candidate # 12.881 * * * * [progress]: [ 51 / 76 ] simplifiying candidate # 12.881 * * * * [progress]: [ 52 / 76 ] simplifiying candidate # 12.881 * * * * [progress]: [ 53 / 76 ] simplifiying candidate # 12.882 * * * * [progress]: [ 54 / 76 ] simplifiying candidate # 12.882 * * * * [progress]: [ 55 / 76 ] simplifiying candidate # 12.882 * * * * [progress]: [ 56 / 76 ] simplifiying candidate # 12.882 * * * * [progress]: [ 57 / 76 ] simplifiying candidate # 12.882 * * * * [progress]: [ 58 / 76 ] simplifiying candidate # 12.882 * * * * [progress]: [ 59 / 76 ] simplifiying candidate # 12.882 * * * * [progress]: [ 60 / 76 ] simplifiying candidate # 12.882 * * * * [progress]: [ 61 / 76 ] simplifiying candidate # 12.882 * * * * [progress]: [ 62 / 76 ] simplifiying candidate # 12.883 * * * * [progress]: [ 63 / 76 ] simplifiying candidate # 12.883 * * * * [progress]: [ 64 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))))) (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))))) (* (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))> 12.883 * * * * [progress]: [ 65 / 76 ] simplifiying candidate # 12.883 * * * * [progress]: [ 66 / 76 ] simplifiying candidate # 12.883 * * * * [progress]: [ 67 / 76 ] simplifiying candidate # 12.883 * * * * [progress]: [ 68 / 76 ] simplifiying candidate # 12.883 * * * * [progress]: [ 69 / 76 ] simplifiying candidate # 12.883 * * * * [progress]: [ 70 / 76 ] simplifiying candidate # 12.883 * * * * [progress]: [ 71 / 76 ] simplifiying candidate # 12.883 * * * * [progress]: [ 72 / 76 ] simplifiying candidate # 12.883 * * * * [progress]: [ 73 / 76 ] simplifiying candidate # 12.883 * * * * [progress]: [ 74 / 76 ] simplifiying candidate # 12.883 * * * * [progress]: [ 75 / 76 ] simplifiying candidate # 12.883 * * * * [progress]: [ 76 / 76 ] simplifiying candidate # 12.884 * [simplify]: Simplifying: (log (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (exp (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (* (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (* (* (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (* (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (sqrt (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt 1) (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (sqrt (+ (pow (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (sqrt (- (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2)))))) (* 1 1))) (sqrt (- (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (/ 1 2) (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (real->posit16 (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (log (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (exp (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (* (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (* (* (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (* (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (sqrt (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt 1) (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) 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J J) (cos (/ K 2))))) 1))) 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 1 (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 12.886 * * [simplify]: iteration 1: (48 enodes) 12.902 * * [simplify]: iteration 2: (178 enodes) 12.966 * * [simplify]: iteration 3: (362 enodes) 13.111 * * [simplify]: iteration 4: (1139 enodes) 15.382 * * [simplify]: Extracting #0: cost 17 inf + 0 15.382 * * [simplify]: Extracting #1: cost 82 inf + 2 15.383 * * [simplify]: Extracting #2: cost 218 inf + 204 15.388 * * [simplify]: Extracting #3: cost 755 inf + 1583 15.400 * * [simplify]: Extracting #4: cost 1415 inf + 7612 15.413 * * [simplify]: Extracting #5: cost 1264 inf + 45279 15.518 * * [simplify]: Extracting #6: cost 508 inf + 332064 15.714 * * [simplify]: Extracting #7: cost 33 inf + 510809 15.934 * * [simplify]: Extracting #8: cost 0 inf + 518516 16.210 * * [simplify]: Extracting #9: cost 0 inf + 518116 16.420 * [simplify]: Simplified to: (log (sqrt (+ 1 (* (/ (/ U (cos (* K 1/2))) (+ J J)) (/ (/ U (cos (* K 1/2))) (+ J J)))))) (exp (sqrt (+ 1 (* (/ (/ U (cos (* K 1/2))) (+ J J)) (/ (/ U (cos (* K 1/2))) (+ J J)))))) (* (cbrt (sqrt (+ 1 (* (/ (/ U (cos (* K 1/2))) (+ J J)) (/ (/ U (cos (* K 1/2))) (+ J J)))))) (cbrt (sqrt (+ 1 (* (/ (/ U (cos (* K 1/2))) (+ J J)) (/ (/ U (cos (* K 1/2))) (+ J J))))))) (cbrt (sqrt (+ 1 (* (/ (/ U (cos (* K 1/2))) (+ J J)) (/ (/ U (cos (* K 1/2))) (+ J J)))))) (* (sqrt (+ 1 (* (/ (/ U (cos (* K 1/2))) (+ J J)) (/ (/ U (cos (* K 1/2))) (+ J J))))) (+ 1 (* (/ (/ U (cos (* K 1/2))) (+ J J)) (/ (/ U (cos (* K 1/2))) (+ J J))))) (fabs (cbrt (+ 1 (* (/ (/ U (cos (* K 1/2))) (+ J J)) (/ (/ U (cos (* K 1/2))) (+ J J)))))) (sqrt (cbrt (+ 1 (* (/ (/ U (cos (* K 1/2))) (+ J J)) (/ (/ U (cos (* K 1/2))) (+ J J)))))) (sqrt (sqrt (+ 1 (* (/ (/ U (cos (* K 1/2))) 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[regime-changes]: Trying 5 branch expressions: (U K (/ K 2) (cos (/ K 2)) J) 18.075 * * * * [regimes]: Trying to branch on U from (# # # # # # # # #) 18.187 * * * * [regimes]: Trying to branch on K from (# # # # # # # # #) 18.272 * * * * [regimes]: Trying to branch on (/ K 2) from (# # # # # # # # #) 18.403 * * * * [regimes]: Trying to branch on (cos (/ K 2)) from (# # # # # # # # #) 18.497 * * * * [regimes]: Trying to branch on J from (# # # # # # # # #) 18.612 * * * [regime]: Found split indices: #