0.002 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.161 * * * [progress]: [2/2] Setting up program. 0.165 * [progress]: [Phase 2 of 3] Improving. 0.165 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.166 * [simplify]: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 0.166 * * [simplify]: iteration 1: (17 enodes) 0.171 * * [simplify]: iteration 2: (70 enodes) 0.204 * * [simplify]: iteration 3: (126 enodes) 0.228 * * [simplify]: iteration 4: (277 enodes) 0.335 * * [simplify]: iteration 5: (754 enodes) 0.860 * * [simplify]: Extracting #0: cost 1 inf + 0 0.860 * * [simplify]: Extracting #1: cost 16 inf + 0 0.860 * * [simplify]: Extracting #2: cost 29 inf + 2 0.860 * * [simplify]: Extracting #3: cost 31 inf + 87 0.861 * * [simplify]: Extracting #4: cost 214 inf + 131 0.868 * * [simplify]: Extracting #5: cost 464 inf + 10800 0.907 * * [simplify]: Extracting #6: cost 159 inf + 94433 0.979 * * [simplify]: Extracting #7: cost 26 inf + 139839 1.027 * * [simplify]: Extracting #8: cost 1 inf + 153222 1.077 * * [simplify]: Extracting #9: cost 0 inf + 153737 1.156 * [simplify]: Simplified to (* (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) 1.171 * * [progress]: iteration 1 / 4 1.171 * * * [progress]: picking best candidate 1.175 * * * * [pick]: Picked # 1.175 * * * [progress]: localizing error 1.217 * * * [progress]: generating rewritten candidates 1.217 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.288 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.505 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.573 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.605 * * * [progress]: generating series expansions 1.605 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.605 * [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)) 1.605 * [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 1.605 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 1.606 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 1.606 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 1.606 * [taylor]: Taking taylor expansion of 1/4 in K 1.606 * [backup-simplify]: Simplify 1/4 into 1/4 1.606 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.606 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.606 * [taylor]: Taking taylor expansion of U in K 1.606 * [backup-simplify]: Simplify U into U 1.606 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.606 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.606 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.606 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.606 * [taylor]: Taking taylor expansion of 1/2 in K 1.606 * [backup-simplify]: Simplify 1/2 into 1/2 1.606 * [taylor]: Taking taylor expansion of K in K 1.606 * [backup-simplify]: Simplify 0 into 0 1.606 * [backup-simplify]: Simplify 1 into 1 1.607 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.608 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.608 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.608 * [taylor]: Taking taylor expansion of J in K 1.608 * [backup-simplify]: Simplify J into J 1.608 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.608 * [backup-simplify]: Simplify (* 1 1) into 1 1.608 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.608 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.609 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 1.609 * [taylor]: Taking taylor expansion of 1 in K 1.609 * [backup-simplify]: Simplify 1 into 1 1.609 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 1.609 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1.609 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 1.609 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.609 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.610 * [backup-simplify]: Simplify (+ 0) into 0 1.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 1.614 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 1.615 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 1.616 * [backup-simplify]: Simplify (+ 0 0) into 0 1.616 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 1.616 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 1.616 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 1.616 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 1.616 * [taylor]: Taking taylor expansion of 1/4 in J 1.616 * [backup-simplify]: Simplify 1/4 into 1/4 1.616 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 1.616 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.616 * [taylor]: Taking taylor expansion of U in J 1.616 * [backup-simplify]: Simplify U into U 1.616 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 1.616 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 1.616 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.616 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.616 * [taylor]: Taking taylor expansion of 1/2 in J 1.616 * [backup-simplify]: Simplify 1/2 into 1/2 1.616 * [taylor]: Taking taylor expansion of K in J 1.616 * [backup-simplify]: Simplify K into K 1.616 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.617 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.617 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.617 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.617 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.618 * [backup-simplify]: Simplify (- 0) into 0 1.618 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.618 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.618 * [taylor]: Taking taylor expansion of J in J 1.618 * [backup-simplify]: Simplify 0 into 0 1.618 * [backup-simplify]: Simplify 1 into 1 1.618 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.618 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.619 * [backup-simplify]: Simplify (* 1 1) into 1 1.619 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 1.619 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 1.619 * [taylor]: Taking taylor expansion of 1 in J 1.619 * [backup-simplify]: Simplify 1 into 1 1.619 * [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))) 1.620 * [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))) 1.620 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 1.620 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.621 * [backup-simplify]: Simplify (+ 0) into 0 1.622 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.623 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.623 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.624 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.624 * [backup-simplify]: Simplify (- 0) into 0 1.625 * [backup-simplify]: Simplify (+ 0 0) into 0 1.625 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.626 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 1.626 * [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 1.627 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 1.627 * [backup-simplify]: Simplify (+ 0 0) into 0 1.627 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 1.627 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.627 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.627 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.627 * [taylor]: Taking taylor expansion of 1/4 in U 1.627 * [backup-simplify]: Simplify 1/4 into 1/4 1.627 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.627 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.627 * [taylor]: Taking taylor expansion of U in U 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [backup-simplify]: Simplify 1 into 1 1.628 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.628 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.628 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.628 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.628 * [taylor]: Taking taylor expansion of 1/2 in U 1.628 * [backup-simplify]: Simplify 1/2 into 1/2 1.628 * [taylor]: Taking taylor expansion of K in U 1.628 * [backup-simplify]: Simplify K into K 1.628 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.628 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.628 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.628 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.628 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.629 * [backup-simplify]: Simplify (- 0) into 0 1.629 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.629 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.629 * [taylor]: Taking taylor expansion of J in U 1.629 * [backup-simplify]: Simplify J into J 1.629 * [backup-simplify]: Simplify (* 1 1) into 1 1.629 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.629 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.629 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.630 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.630 * [taylor]: Taking taylor expansion of 1 in U 1.630 * [backup-simplify]: Simplify 1 into 1 1.630 * [backup-simplify]: Simplify (+ 0 1) into 1 1.631 * [backup-simplify]: Simplify (sqrt 1) into 1 1.631 * [backup-simplify]: Simplify (+ 0 0) into 0 1.632 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.632 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.632 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.632 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.632 * [taylor]: Taking taylor expansion of 1/4 in U 1.632 * [backup-simplify]: Simplify 1/4 into 1/4 1.632 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.632 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.632 * [taylor]: Taking taylor expansion of U in U 1.632 * [backup-simplify]: Simplify 0 into 0 1.632 * [backup-simplify]: Simplify 1 into 1 1.632 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.632 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.632 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.632 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.632 * [taylor]: Taking taylor expansion of 1/2 in U 1.632 * [backup-simplify]: Simplify 1/2 into 1/2 1.632 * [taylor]: Taking taylor expansion of K in U 1.632 * [backup-simplify]: Simplify K into K 1.633 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.633 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.633 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.633 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.633 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.633 * [backup-simplify]: Simplify (- 0) into 0 1.633 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.633 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.633 * [taylor]: Taking taylor expansion of J in U 1.633 * [backup-simplify]: Simplify J into J 1.634 * [backup-simplify]: Simplify (* 1 1) into 1 1.634 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.634 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.634 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.634 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.634 * [taylor]: Taking taylor expansion of 1 in U 1.634 * [backup-simplify]: Simplify 1 into 1 1.635 * [backup-simplify]: Simplify (+ 0 1) into 1 1.635 * [backup-simplify]: Simplify (sqrt 1) into 1 1.636 * [backup-simplify]: Simplify (+ 0 0) into 0 1.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.637 * [taylor]: Taking taylor expansion of 1 in J 1.637 * [backup-simplify]: Simplify 1 into 1 1.637 * [taylor]: Taking taylor expansion of 0 in J 1.637 * [backup-simplify]: Simplify 0 into 0 1.637 * [taylor]: Taking taylor expansion of 1 in K 1.637 * [backup-simplify]: Simplify 1 into 1 1.637 * [backup-simplify]: Simplify 1 into 1 1.637 * [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))) 1.637 * [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)))) 1.639 * [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))) 1.639 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 1.639 * [taylor]: Taking taylor expansion of 1/8 in J 1.639 * [backup-simplify]: Simplify 1/8 into 1/8 1.639 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 1.639 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 1.639 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.639 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.639 * [taylor]: Taking taylor expansion of 1/2 in J 1.639 * [backup-simplify]: Simplify 1/2 into 1/2 1.639 * [taylor]: Taking taylor expansion of K in J 1.639 * [backup-simplify]: Simplify K into K 1.639 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.639 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.639 * [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 1.640 * [backup-simplify]: Simplify (- 0) into 0 1.640 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.640 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.640 * [taylor]: Taking taylor expansion of J in J 1.640 * [backup-simplify]: Simplify 0 into 0 1.640 * [backup-simplify]: Simplify 1 into 1 1.640 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.641 * [backup-simplify]: Simplify (* 1 1) into 1 1.641 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 1.641 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 1.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.643 * [backup-simplify]: Simplify (+ 0) into 0 1.644 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.644 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.645 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.646 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.646 * [backup-simplify]: Simplify (- 0) into 0 1.647 * [backup-simplify]: Simplify (+ 0 0) into 0 1.647 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.648 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 1.648 * [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 1.648 * [taylor]: Taking taylor expansion of 0 in K 1.648 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify 0 into 0 1.648 * [taylor]: Taking taylor expansion of 0 in K 1.648 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify 0 into 0 1.648 * [taylor]: Taking taylor expansion of 0 in K 1.648 * [backup-simplify]: Simplify 0 into 0 1.649 * [backup-simplify]: Simplify 0 into 0 1.649 * [backup-simplify]: Simplify 0 into 0 1.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.650 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.650 * [backup-simplify]: Simplify (+ 0) into 0 1.651 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.652 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.652 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.653 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.653 * [backup-simplify]: Simplify (- 0) into 0 1.653 * [backup-simplify]: Simplify (+ 0 0) into 0 1.653 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.654 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 1.654 * [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 1.654 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 1.655 * [backup-simplify]: Simplify (+ 0 0) into 0 1.655 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 1.655 * [taylor]: Taking taylor expansion of 0 in J 1.655 * [backup-simplify]: Simplify 0 into 0 1.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.656 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.657 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.657 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.658 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.658 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.658 * [backup-simplify]: Simplify (- 0) into 0 1.658 * [backup-simplify]: Simplify (+ 0 0) into 0 1.659 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 1.659 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 1.659 * [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 1.659 * [taylor]: Taking taylor expansion of 0 in K 1.659 * [backup-simplify]: Simplify 0 into 0 1.660 * [backup-simplify]: Simplify 0 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 1 into 1 1.660 * [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)) 1.660 * [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 1.660 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 1.660 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 1.660 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 1.660 * [taylor]: Taking taylor expansion of 1/4 in K 1.660 * [backup-simplify]: Simplify 1/4 into 1/4 1.660 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 1.660 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.660 * [taylor]: Taking taylor expansion of J in K 1.660 * [backup-simplify]: Simplify J into J 1.660 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 1.660 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.660 * [taylor]: Taking taylor expansion of U in K 1.660 * [backup-simplify]: Simplify U into U 1.660 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 1.660 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.660 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.660 * [taylor]: Taking taylor expansion of 1/2 in K 1.660 * [backup-simplify]: Simplify 1/2 into 1/2 1.660 * [taylor]: Taking taylor expansion of K in K 1.660 * [backup-simplify]: Simplify 0 into 0 1.660 * [backup-simplify]: Simplify 1 into 1 1.661 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.661 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.661 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.661 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.661 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.661 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.661 * [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))) 1.661 * [taylor]: Taking taylor expansion of 1 in K 1.661 * [backup-simplify]: Simplify 1 into 1 1.661 * [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)))) 1.662 * [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) 1.662 * [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)) 1.662 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.662 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.662 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.662 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.662 * [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 1.663 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.663 * [backup-simplify]: Simplify (+ 0 0) into 0 1.663 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 1.663 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 1.663 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 1.663 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 1.663 * [taylor]: Taking taylor expansion of 1/4 in J 1.663 * [backup-simplify]: Simplify 1/4 into 1/4 1.664 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 1.664 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.664 * [taylor]: Taking taylor expansion of J in J 1.664 * [backup-simplify]: Simplify 0 into 0 1.664 * [backup-simplify]: Simplify 1 into 1 1.664 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 1.664 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.664 * [taylor]: Taking taylor expansion of U in J 1.664 * [backup-simplify]: Simplify U into U 1.664 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.664 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.664 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.664 * [taylor]: Taking taylor expansion of 1/2 in J 1.664 * [backup-simplify]: Simplify 1/2 into 1/2 1.664 * [taylor]: Taking taylor expansion of K in J 1.664 * [backup-simplify]: Simplify K into K 1.664 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.664 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.664 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.664 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.664 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.664 * [backup-simplify]: Simplify (- 0) into 0 1.664 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.665 * [backup-simplify]: Simplify (* 1 1) into 1 1.665 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.665 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.665 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.665 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 1.665 * [taylor]: Taking taylor expansion of 1 in J 1.665 * [backup-simplify]: Simplify 1 into 1 1.665 * [backup-simplify]: Simplify (+ 0 1) into 1 1.665 * [backup-simplify]: Simplify (sqrt 1) into 1 1.666 * [backup-simplify]: Simplify (+ 0 0) into 0 1.666 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.666 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.666 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.666 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.666 * [taylor]: Taking taylor expansion of 1/4 in U 1.666 * [backup-simplify]: Simplify 1/4 into 1/4 1.666 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.666 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.666 * [taylor]: Taking taylor expansion of J in U 1.666 * [backup-simplify]: Simplify J into J 1.666 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.666 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.666 * [taylor]: Taking taylor expansion of U in U 1.666 * [backup-simplify]: Simplify 0 into 0 1.666 * [backup-simplify]: Simplify 1 into 1 1.666 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.666 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.666 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.666 * [taylor]: Taking taylor expansion of 1/2 in U 1.666 * [backup-simplify]: Simplify 1/2 into 1/2 1.667 * [taylor]: Taking taylor expansion of K in U 1.667 * [backup-simplify]: Simplify K into K 1.667 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.667 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.667 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.667 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.667 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.667 * [backup-simplify]: Simplify (- 0) into 0 1.667 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.667 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.667 * [backup-simplify]: Simplify (* 1 1) into 1 1.667 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.668 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.668 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.668 * [taylor]: Taking taylor expansion of 1 in U 1.668 * [backup-simplify]: Simplify 1 into 1 1.668 * [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))) 1.668 * [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))) 1.668 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.668 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.668 * [backup-simplify]: Simplify (+ 0) into 0 1.669 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.669 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.669 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.670 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.670 * [backup-simplify]: Simplify (- 0) into 0 1.670 * [backup-simplify]: Simplify (+ 0 0) into 0 1.670 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.671 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.671 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.671 * [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 1.671 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.672 * [backup-simplify]: Simplify (+ 0 0) into 0 1.672 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.672 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.672 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.672 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.672 * [taylor]: Taking taylor expansion of 1/4 in U 1.672 * [backup-simplify]: Simplify 1/4 into 1/4 1.672 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.672 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.672 * [taylor]: Taking taylor expansion of J in U 1.672 * [backup-simplify]: Simplify J into J 1.672 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.672 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.672 * [taylor]: Taking taylor expansion of U in U 1.672 * [backup-simplify]: Simplify 0 into 0 1.672 * [backup-simplify]: Simplify 1 into 1 1.672 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.672 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.672 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.672 * [taylor]: Taking taylor expansion of 1/2 in U 1.672 * [backup-simplify]: Simplify 1/2 into 1/2 1.672 * [taylor]: Taking taylor expansion of K in U 1.672 * [backup-simplify]: Simplify K into K 1.672 * [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 1.673 * [backup-simplify]: Simplify (- 0) into 0 1.673 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.673 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.673 * [backup-simplify]: Simplify (* 1 1) into 1 1.673 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.673 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.673 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.673 * [taylor]: Taking taylor expansion of 1 in U 1.673 * [backup-simplify]: Simplify 1 into 1 1.673 * [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))) 1.674 * [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))) 1.674 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.674 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.674 * [backup-simplify]: Simplify (+ 0) into 0 1.674 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.675 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.675 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.675 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.676 * [backup-simplify]: Simplify (- 0) into 0 1.676 * [backup-simplify]: Simplify (+ 0 0) into 0 1.676 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.677 * [backup-simplify]: 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 1.677 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.677 * [backup-simplify]: Simplify (+ 0 0) into 0 1.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.678 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 1.678 * [taylor]: Taking taylor expansion of 1/2 in J 1.678 * [backup-simplify]: Simplify 1/2 into 1/2 1.678 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 1.678 * [taylor]: Taking taylor expansion of J in J 1.678 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify 1 into 1 1.678 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.678 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.678 * [taylor]: Taking taylor expansion of 1/2 in J 1.678 * [backup-simplify]: Simplify 1/2 into 1/2 1.678 * [taylor]: Taking taylor expansion of K in J 1.678 * [backup-simplify]: Simplify K into K 1.678 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.678 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.678 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.678 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.678 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.678 * [backup-simplify]: Simplify (- 0) into 0 1.678 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.679 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 1.679 * [taylor]: Taking taylor expansion of 0 in J 1.679 * [backup-simplify]: Simplify 0 into 0 1.679 * [taylor]: Taking taylor expansion of 0 in K 1.679 * [backup-simplify]: Simplify 0 into 0 1.679 * [backup-simplify]: Simplify 0 into 0 1.679 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 1.679 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 1.679 * [taylor]: Taking taylor expansion of 1/2 in K 1.679 * [backup-simplify]: Simplify 1/2 into 1/2 1.679 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.679 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.679 * [taylor]: Taking taylor expansion of 1/2 in K 1.679 * [backup-simplify]: Simplify 1/2 into 1/2 1.679 * [taylor]: Taking taylor expansion of K in K 1.679 * [backup-simplify]: Simplify 0 into 0 1.679 * [backup-simplify]: Simplify 1 into 1 1.679 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.679 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.679 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 1.679 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 1.680 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.680 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.681 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.681 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.681 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.682 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.682 * [backup-simplify]: Simplify (- 0) into 0 1.682 * [backup-simplify]: Simplify (+ 0 0) into 0 1.683 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 1.684 * [backup-simplify]: 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 1.685 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.685 * [backup-simplify]: Simplify (+ 0 1) into 1 1.685 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 1.685 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.685 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.685 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.685 * [taylor]: Taking taylor expansion of 1/2 in J 1.685 * [backup-simplify]: Simplify 1/2 into 1/2 1.685 * [taylor]: Taking taylor expansion of K in J 1.686 * [backup-simplify]: Simplify K into K 1.686 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.686 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.686 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.686 * [taylor]: Taking taylor expansion of J in J 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify 1 into 1 1.686 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.686 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.686 * [backup-simplify]: Simplify (- 0) into 0 1.686 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.686 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 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 1.687 * [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 1.688 * [backup-simplify]: Simplify (+ 0 0) into 0 1.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 1.689 * [taylor]: Taking taylor expansion of 0 in K 1.689 * [backup-simplify]: Simplify 0 into 0 1.689 * [backup-simplify]: Simplify 0 into 0 1.689 * [taylor]: Taking taylor expansion of 0 in K 1.689 * [backup-simplify]: Simplify 0 into 0 1.689 * [backup-simplify]: Simplify 0 into 0 1.689 * [backup-simplify]: Simplify (+ 0) into 0 1.689 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.689 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.690 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.690 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.690 * [backup-simplify]: Simplify (- 0) into 0 1.691 * [backup-simplify]: Simplify (+ 0 0) into 0 1.691 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.691 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 1.691 * [taylor]: Taking taylor expansion of 0 in K 1.691 * [backup-simplify]: Simplify 0 into 0 1.691 * [backup-simplify]: Simplify 0 into 0 1.691 * [backup-simplify]: Simplify 0 into 0 1.691 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.693 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.693 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.694 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.695 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.695 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.695 * [backup-simplify]: Simplify (- 0) into 0 1.696 * [backup-simplify]: Simplify (+ 0 0) into 0 1.696 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 1.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.698 * [backup-simplify]: 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 1.699 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.699 * [backup-simplify]: Simplify (+ 0 0) into 0 1.699 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 1.699 * [taylor]: Taking taylor expansion of 0 in J 1.699 * [backup-simplify]: Simplify 0 into 0 1.699 * [taylor]: Taking taylor expansion of 0 in K 1.699 * [backup-simplify]: Simplify 0 into 0 1.699 * [backup-simplify]: Simplify 0 into 0 1.700 * [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))) 1.700 * [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)))))) 1.700 * [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 1.700 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 1.700 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 1.700 * [taylor]: Taking taylor expansion of 1 in K 1.700 * [backup-simplify]: Simplify 1 into 1 1.700 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 1.700 * [taylor]: Taking taylor expansion of 1/4 in K 1.700 * [backup-simplify]: Simplify 1/4 into 1/4 1.700 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 1.700 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.700 * [taylor]: Taking taylor expansion of J in K 1.700 * [backup-simplify]: Simplify J into J 1.700 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 1.700 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 1.700 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.700 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.700 * [taylor]: Taking taylor expansion of -1/2 in K 1.700 * [backup-simplify]: Simplify -1/2 into -1/2 1.700 * [taylor]: Taking taylor expansion of K in K 1.700 * [backup-simplify]: Simplify 0 into 0 1.700 * [backup-simplify]: Simplify 1 into 1 1.701 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.701 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.701 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.701 * [taylor]: Taking taylor expansion of U in K 1.701 * [backup-simplify]: Simplify U into U 1.701 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.701 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.701 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.701 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.701 * [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))) 1.701 * [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)))) 1.702 * [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))))) 1.702 * [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)))))) 1.702 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.702 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.702 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.702 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 1.702 * [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 1.703 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 1.703 * [backup-simplify]: Simplify (+ 0 0) into 0 1.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 1.704 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 1.704 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 1.704 * [taylor]: Taking taylor expansion of 1 in J 1.704 * [backup-simplify]: Simplify 1 into 1 1.704 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 1.704 * [taylor]: Taking taylor expansion of 1/4 in J 1.704 * [backup-simplify]: Simplify 1/4 into 1/4 1.704 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 1.704 * [taylor]: Taking taylor expansion of (pow J 2) in J 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 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 1.704 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.704 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.704 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.704 * [taylor]: Taking taylor expansion of -1/2 in J 1.704 * [backup-simplify]: Simplify -1/2 into -1/2 1.704 * [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 * [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 1.705 * [backup-simplify]: Simplify (- 0) into 0 1.705 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.705 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.705 * [taylor]: Taking taylor expansion of U in J 1.705 * [backup-simplify]: Simplify U into U 1.705 * [backup-simplify]: Simplify (* 1 1) into 1 1.705 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.705 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.705 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.705 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 1.706 * [backup-simplify]: Simplify (+ 1 0) into 1 1.706 * [backup-simplify]: Simplify (sqrt 1) into 1 1.706 * [backup-simplify]: Simplify (+ 0 0) into 0 1.707 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.707 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 1.707 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 1.707 * [taylor]: Taking taylor expansion of 1 in U 1.707 * [backup-simplify]: Simplify 1 into 1 1.707 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.707 * [taylor]: Taking taylor expansion of 1/4 in U 1.707 * [backup-simplify]: Simplify 1/4 into 1/4 1.707 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.707 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.707 * [taylor]: Taking taylor expansion of J in U 1.707 * [backup-simplify]: Simplify J into J 1.707 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.707 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.707 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.707 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.707 * [taylor]: Taking taylor expansion of -1/2 in U 1.707 * [backup-simplify]: Simplify -1/2 into -1/2 1.707 * [taylor]: Taking taylor expansion of K in U 1.707 * [backup-simplify]: Simplify K into K 1.707 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.707 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.707 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.707 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.707 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.707 * [backup-simplify]: Simplify (- 0) into 0 1.707 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.707 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.707 * [taylor]: Taking taylor expansion of U in U 1.707 * [backup-simplify]: Simplify 0 into 0 1.707 * [backup-simplify]: Simplify 1 into 1 1.708 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.708 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.708 * [backup-simplify]: Simplify (* 1 1) into 1 1.708 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.708 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.708 * [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))) 1.708 * [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))) 1.708 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.709 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.709 * [backup-simplify]: Simplify (+ 0) into 0 1.709 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.710 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.710 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.710 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.711 * [backup-simplify]: Simplify (- 0) into 0 1.711 * [backup-simplify]: Simplify (+ 0 0) into 0 1.711 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.711 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.712 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.712 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.712 * [backup-simplify]: Simplify (+ 0 0) into 0 1.712 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.712 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 1.712 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 1.712 * [taylor]: Taking taylor expansion of 1 in U 1.712 * [backup-simplify]: Simplify 1 into 1 1.712 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.712 * [taylor]: Taking taylor expansion of 1/4 in U 1.712 * [backup-simplify]: Simplify 1/4 into 1/4 1.712 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.713 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.713 * [taylor]: Taking taylor expansion of J in U 1.713 * [backup-simplify]: Simplify J into J 1.713 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.713 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.713 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.713 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.713 * [taylor]: Taking taylor expansion of -1/2 in U 1.713 * [backup-simplify]: Simplify -1/2 into -1/2 1.713 * [taylor]: Taking taylor expansion of K in U 1.713 * [backup-simplify]: Simplify K into K 1.713 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.713 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.713 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.713 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.713 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.713 * [backup-simplify]: Simplify (- 0) into 0 1.713 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.713 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.713 * [taylor]: Taking taylor expansion of U in U 1.713 * [backup-simplify]: Simplify 0 into 0 1.713 * [backup-simplify]: Simplify 1 into 1 1.713 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.713 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.714 * [backup-simplify]: Simplify (* 1 1) into 1 1.714 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.714 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.714 * [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))) 1.714 * [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))) 1.714 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.714 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.715 * [backup-simplify]: Simplify (+ 0) into 0 1.715 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.715 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.716 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.716 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.716 * [backup-simplify]: Simplify (- 0) into 0 1.717 * [backup-simplify]: Simplify (+ 0 0) into 0 1.717 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.717 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.717 * [backup-simplify]: 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 1.718 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.718 * [backup-simplify]: Simplify (+ 0 0) into 0 1.718 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.718 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 1.718 * [taylor]: Taking taylor expansion of 1/2 in J 1.718 * [backup-simplify]: Simplify 1/2 into 1/2 1.718 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 1.718 * [taylor]: Taking taylor expansion of J in J 1.718 * [backup-simplify]: Simplify 0 into 0 1.718 * [backup-simplify]: Simplify 1 into 1 1.718 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.718 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.718 * [taylor]: Taking taylor expansion of -1/2 in J 1.718 * [backup-simplify]: Simplify -1/2 into -1/2 1.718 * [taylor]: Taking taylor expansion of K in J 1.718 * [backup-simplify]: Simplify K into K 1.718 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.718 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.718 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.719 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.719 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.719 * [backup-simplify]: Simplify (- 0) into 0 1.719 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.719 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 1.719 * [taylor]: Taking taylor expansion of 0 in J 1.719 * [backup-simplify]: Simplify 0 into 0 1.719 * [taylor]: Taking taylor expansion of 0 in K 1.719 * [backup-simplify]: Simplify 0 into 0 1.719 * [backup-simplify]: Simplify 0 into 0 1.719 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 1.719 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -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 (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 1) into -1/2 1.720 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.720 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 1.720 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 1.720 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.721 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.722 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.722 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.723 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.724 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.724 * [backup-simplify]: Simplify (- 0) into 0 1.724 * [backup-simplify]: Simplify (+ 0 0) into 0 1.725 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.726 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 1.726 * [backup-simplify]: 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 1.727 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 1.730 * [backup-simplify]: Simplify (+ 1 0) into 1 1.732 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 1.732 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.732 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.732 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.732 * [taylor]: Taking taylor expansion of -1/2 in J 1.732 * [backup-simplify]: Simplify -1/2 into -1/2 1.732 * [taylor]: Taking taylor expansion of K in J 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 J 1.732 * [backup-simplify]: Simplify 0 into 0 1.732 * [backup-simplify]: Simplify 1 into 1 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 1.733 * [backup-simplify]: Simplify (- 0) into 0 1.733 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.733 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.733 * [backup-simplify]: Simplify (+ 0) into 0 1.734 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.734 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.735 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.735 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.736 * [backup-simplify]: Simplify (- 0) into 0 1.736 * [backup-simplify]: Simplify (+ 0 0) into 0 1.737 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 1.737 * [taylor]: Taking taylor expansion of 0 in K 1.737 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify 0 into 0 1.737 * [taylor]: Taking taylor expansion of 0 in K 1.737 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify 0 into 0 1.738 * [backup-simplify]: Simplify (+ 0) into 0 1.738 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.738 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.739 * [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 1.740 * [backup-simplify]: Simplify (+ 0 0) into 0 1.741 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.741 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 1.741 * [taylor]: Taking taylor expansion of 0 in K 1.741 * [backup-simplify]: Simplify 0 into 0 1.741 * [backup-simplify]: Simplify 0 into 0 1.741 * [backup-simplify]: Simplify 0 into 0 1.742 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.742 * [backup-simplify]: Simplify 0 into 0 1.742 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.745 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.745 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.745 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.746 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.747 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.747 * [backup-simplify]: Simplify (- 0) into 0 1.747 * [backup-simplify]: Simplify (+ 0 0) into 0 1.748 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 1.749 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.749 * [backup-simplify]: 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 1.750 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.750 * [backup-simplify]: Simplify (+ 0 0) into 0 1.750 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 1.750 * [taylor]: Taking taylor expansion of 0 in J 1.750 * [backup-simplify]: Simplify 0 into 0 1.750 * [taylor]: Taking taylor expansion of 0 in K 1.750 * [backup-simplify]: Simplify 0 into 0 1.750 * [backup-simplify]: Simplify 0 into 0 1.751 * [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))) 1.751 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.751 * [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)))) 1.751 * [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 1.751 * [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 1.751 * [taylor]: Taking taylor expansion of -2 in K 1.751 * [backup-simplify]: Simplify -2 into -2 1.751 * [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 1.751 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) 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 * [taylor]: Taking taylor expansion of J in K 1.752 * [backup-simplify]: Simplify J into J 1.752 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 1.752 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 1.752 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 1.752 * [taylor]: Taking taylor expansion of 1/4 in K 1.752 * [backup-simplify]: Simplify 1/4 into 1/4 1.752 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.752 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.752 * [taylor]: Taking taylor expansion of U in K 1.752 * [backup-simplify]: Simplify U into U 1.752 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.752 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.752 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.752 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.752 * [taylor]: Taking taylor expansion of 1/2 in K 1.752 * [backup-simplify]: Simplify 1/2 into 1/2 1.752 * [taylor]: Taking taylor expansion of K in K 1.753 * [backup-simplify]: Simplify 0 into 0 1.753 * [backup-simplify]: Simplify 1 into 1 1.753 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.753 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.753 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.753 * [taylor]: Taking taylor expansion of J in K 1.753 * [backup-simplify]: Simplify J into J 1.753 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.754 * [backup-simplify]: Simplify (* 1 1) into 1 1.754 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.754 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.754 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 1.754 * [taylor]: Taking taylor expansion of 1 in K 1.754 * [backup-simplify]: Simplify 1 into 1 1.754 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 1.754 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1.754 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 1.754 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.754 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.755 * [backup-simplify]: Simplify (+ 0) into 0 1.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 1.756 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 1.756 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 1.756 * [backup-simplify]: Simplify (+ 0 0) into 0 1.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 1.756 * [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 1.756 * [taylor]: Taking taylor expansion of -2 in J 1.756 * [backup-simplify]: Simplify -2 into -2 1.756 * [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 1.756 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.756 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.756 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.756 * [taylor]: Taking taylor expansion of 1/2 in J 1.757 * [backup-simplify]: Simplify 1/2 into 1/2 1.757 * [taylor]: Taking taylor expansion of K in J 1.757 * [backup-simplify]: Simplify K into K 1.757 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.757 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.757 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.757 * [taylor]: Taking taylor expansion of J in J 1.757 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify 1 into 1 1.757 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 1.757 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 1.757 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 1.757 * [taylor]: Taking taylor expansion of 1/4 in J 1.757 * [backup-simplify]: Simplify 1/4 into 1/4 1.757 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 1.757 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.757 * [taylor]: Taking taylor expansion of U in J 1.757 * [backup-simplify]: Simplify U into U 1.757 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 1.757 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 1.757 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.757 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.757 * [taylor]: Taking taylor expansion of 1/2 in J 1.757 * [backup-simplify]: Simplify 1/2 into 1/2 1.757 * [taylor]: Taking taylor expansion of K in J 1.757 * [backup-simplify]: Simplify K into K 1.757 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.757 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.757 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.757 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.757 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.758 * [backup-simplify]: Simplify (- 0) into 0 1.758 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.758 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.758 * [taylor]: Taking taylor expansion of J in J 1.758 * [backup-simplify]: Simplify 0 into 0 1.758 * [backup-simplify]: Simplify 1 into 1 1.758 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.758 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.758 * [backup-simplify]: Simplify (* 1 1) into 1 1.758 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 1.758 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 1.758 * [taylor]: Taking taylor expansion of 1 in J 1.758 * [backup-simplify]: Simplify 1 into 1 1.758 * [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))) 1.759 * [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))) 1.759 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 1.759 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.759 * [backup-simplify]: Simplify (+ 0) into 0 1.760 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.760 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.761 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.761 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.761 * [backup-simplify]: Simplify (- 0) into 0 1.761 * [backup-simplify]: Simplify (+ 0 0) into 0 1.761 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.762 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 1.762 * [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 1.763 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 1.763 * [backup-simplify]: Simplify (+ 0 0) into 0 1.763 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 1.763 * [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 1.763 * [taylor]: Taking taylor expansion of -2 in U 1.763 * [backup-simplify]: Simplify -2 into -2 1.763 * [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 1.763 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.763 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.763 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.763 * [taylor]: Taking taylor expansion of 1/2 in U 1.764 * [backup-simplify]: Simplify 1/2 into 1/2 1.764 * [taylor]: Taking taylor expansion of K in U 1.764 * [backup-simplify]: Simplify K into K 1.764 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.764 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.764 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.764 * [taylor]: Taking taylor expansion of J in U 1.764 * [backup-simplify]: Simplify J into J 1.764 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.764 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.764 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.764 * [taylor]: Taking taylor expansion of 1/4 in U 1.764 * [backup-simplify]: Simplify 1/4 into 1/4 1.764 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.764 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.764 * [taylor]: Taking taylor expansion of U in U 1.764 * [backup-simplify]: Simplify 0 into 0 1.764 * [backup-simplify]: Simplify 1 into 1 1.764 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.764 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.764 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.764 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.764 * [taylor]: Taking taylor expansion of 1/2 in U 1.764 * [backup-simplify]: Simplify 1/2 into 1/2 1.764 * [taylor]: Taking taylor expansion of K in U 1.764 * [backup-simplify]: Simplify K into K 1.764 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.764 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.764 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.764 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.764 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.765 * [backup-simplify]: Simplify (- 0) into 0 1.765 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.765 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.765 * [taylor]: Taking taylor expansion of J in U 1.765 * [backup-simplify]: Simplify J into J 1.765 * [backup-simplify]: Simplify (* 1 1) into 1 1.765 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.765 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.765 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.765 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.766 * [taylor]: Taking taylor expansion of 1 in U 1.766 * [backup-simplify]: Simplify 1 into 1 1.766 * [backup-simplify]: Simplify (+ 0 1) into 1 1.766 * [backup-simplify]: Simplify (sqrt 1) into 1 1.766 * [backup-simplify]: Simplify (+ 0 0) into 0 1.767 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.767 * [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 1.767 * [taylor]: Taking taylor expansion of -2 in U 1.767 * [backup-simplify]: Simplify -2 into -2 1.767 * [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 1.767 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.767 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.767 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.767 * [taylor]: Taking taylor expansion of 1/2 in U 1.767 * [backup-simplify]: Simplify 1/2 into 1/2 1.767 * [taylor]: Taking taylor expansion of K in U 1.767 * [backup-simplify]: Simplify K into K 1.767 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.767 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.767 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.767 * [taylor]: Taking taylor expansion of J in U 1.767 * [backup-simplify]: Simplify J into J 1.767 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.767 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.767 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.767 * [taylor]: Taking taylor expansion of 1/4 in U 1.767 * [backup-simplify]: Simplify 1/4 into 1/4 1.767 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.767 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.767 * [taylor]: Taking taylor expansion of U in U 1.767 * [backup-simplify]: Simplify 0 into 0 1.767 * [backup-simplify]: Simplify 1 into 1 1.768 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.768 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.768 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.768 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.768 * [taylor]: Taking taylor expansion of 1/2 in U 1.768 * [backup-simplify]: Simplify 1/2 into 1/2 1.768 * [taylor]: Taking taylor expansion of K in U 1.768 * [backup-simplify]: Simplify K into K 1.768 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.768 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.768 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.768 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.768 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.768 * [backup-simplify]: Simplify (- 0) into 0 1.768 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.768 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.768 * [taylor]: Taking taylor expansion of J in U 1.768 * [backup-simplify]: Simplify J into J 1.769 * [backup-simplify]: Simplify (* 1 1) into 1 1.769 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.769 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.769 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.769 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.769 * [taylor]: Taking taylor expansion of 1 in U 1.769 * [backup-simplify]: Simplify 1 into 1 1.769 * [backup-simplify]: Simplify (+ 0 1) into 1 1.770 * [backup-simplify]: Simplify (sqrt 1) into 1 1.770 * [backup-simplify]: Simplify (+ 0 0) into 0 1.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.770 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.770 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.771 * [backup-simplify]: Simplify (- 0) into 0 1.771 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.771 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 1.771 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J) 1.771 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 1.771 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 1.771 * [taylor]: Taking taylor expansion of -2 in J 1.771 * [backup-simplify]: Simplify -2 into -2 1.771 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.771 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.771 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.771 * [taylor]: Taking taylor expansion of 1/2 in J 1.771 * [backup-simplify]: Simplify 1/2 into 1/2 1.771 * [taylor]: Taking taylor expansion of K in J 1.771 * [backup-simplify]: Simplify K into K 1.771 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.771 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.771 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.771 * [taylor]: Taking taylor expansion of J in J 1.771 * [backup-simplify]: Simplify 0 into 0 1.771 * [backup-simplify]: Simplify 1 into 1 1.771 * [backup-simplify]: Simplify (+ 0) into 0 1.772 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.772 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.773 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.773 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.773 * [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 J)) into 0 1.774 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0 1.774 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 1.774 * [taylor]: Taking taylor expansion of 0 in J 1.774 * [backup-simplify]: Simplify 0 into 0 1.774 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.774 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.775 * [backup-simplify]: Simplify (- 0) into 0 1.775 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.775 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 1.775 * [backup-simplify]: Simplify (* -2 0) into 0 1.775 * [taylor]: Taking taylor expansion of 0 in K 1.775 * [backup-simplify]: Simplify 0 into 0 1.775 * [backup-simplify]: Simplify 0 into 0 1.775 * [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))) 1.775 * [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)))) 1.776 * [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))) 1.777 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.778 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.778 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.779 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.780 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.780 * [backup-simplify]: Simplify (- 0) into 0 1.781 * [backup-simplify]: Simplify (+ 0 0) into 0 1.781 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 1.782 * [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))) 1.783 * [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)))) 1.783 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J 1.783 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J 1.783 * [taylor]: Taking taylor expansion of 1/4 in J 1.783 * [backup-simplify]: Simplify 1/4 into 1/4 1.783 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J 1.783 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.783 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.783 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.783 * [taylor]: Taking taylor expansion of 1/2 in J 1.783 * [backup-simplify]: Simplify 1/2 into 1/2 1.783 * [taylor]: Taking taylor expansion of K in J 1.783 * [backup-simplify]: Simplify K into K 1.783 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.783 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.783 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.783 * [taylor]: Taking taylor expansion of J in J 1.783 * [backup-simplify]: Simplify 0 into 0 1.784 * [backup-simplify]: Simplify 1 into 1 1.784 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.784 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.784 * [backup-simplify]: Simplify (- 0) into 0 1.784 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.784 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 1.785 * [backup-simplify]: Simplify (+ 0) into 0 1.785 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.786 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.786 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.787 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.787 * [backup-simplify]: Simplify (- 0) into 0 1.788 * [backup-simplify]: Simplify (+ 0 0) into 0 1.788 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 1.788 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 1.788 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K))) 1.789 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K))))) 1.789 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K 1.789 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K 1.789 * [taylor]: Taking taylor expansion of 1/4 in K 1.789 * [backup-simplify]: Simplify 1/4 into 1/4 1.789 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K 1.789 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.789 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.789 * [taylor]: Taking taylor expansion of 1/2 in K 1.789 * [backup-simplify]: Simplify 1/2 into 1/2 1.789 * [taylor]: Taking taylor expansion of K in K 1.789 * [backup-simplify]: Simplify 0 into 0 1.789 * [backup-simplify]: Simplify 1 into 1 1.789 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.790 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.790 * [backup-simplify]: Simplify (/ 1 1) into 1 1.791 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 1.791 * [backup-simplify]: Simplify (- 1/4) into -1/4 1.791 * [backup-simplify]: Simplify -1/4 into -1/4 1.791 * [taylor]: Taking taylor expansion of 0 in K 1.791 * [backup-simplify]: Simplify 0 into 0 1.791 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify (+ 0) into 0 1.792 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.793 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.794 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.794 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.795 * [backup-simplify]: Simplify (- 0) into 0 1.795 * [backup-simplify]: Simplify (+ 0 0) into 0 1.795 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 1.796 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 1.796 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 1.796 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 1.796 * [taylor]: Taking taylor expansion of 2 in K 1.796 * [backup-simplify]: Simplify 2 into 2 1.796 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.796 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.796 * [taylor]: Taking taylor expansion of 1/2 in K 1.796 * [backup-simplify]: Simplify 1/2 into 1/2 1.796 * [taylor]: Taking taylor expansion of K in K 1.796 * [backup-simplify]: Simplify 0 into 0 1.796 * [backup-simplify]: Simplify 1 into 1 1.796 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.797 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.798 * [backup-simplify]: Simplify (* 2 1) into 2 1.798 * [backup-simplify]: Simplify (- 2) into -2 1.798 * [backup-simplify]: Simplify -2 into -2 1.798 * [backup-simplify]: Simplify 0 into 0 1.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.799 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.799 * [backup-simplify]: Simplify (+ 0) into 0 1.800 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.800 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.801 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.802 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.802 * [backup-simplify]: Simplify (- 0) into 0 1.802 * [backup-simplify]: Simplify (+ 0 0) into 0 1.802 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.803 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 1.803 * [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 1.804 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 1.804 * [backup-simplify]: Simplify (+ 0 0) into 0 1.805 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 1.805 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.806 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.807 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 1.808 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.808 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.808 * [backup-simplify]: Simplify (- 0) into 0 1.809 * [backup-simplify]: Simplify (+ 0 0) into 0 1.809 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.810 * [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 1.810 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 1.810 * [taylor]: Taking taylor expansion of 0 in J 1.810 * [backup-simplify]: Simplify 0 into 0 1.811 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.811 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.812 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.812 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.813 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.813 * [backup-simplify]: Simplify (- 0) into 0 1.813 * [backup-simplify]: Simplify (+ 0 0) into 0 1.814 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 1.814 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 1.814 * [backup-simplify]: Simplify (- 0) into 0 1.814 * [taylor]: Taking taylor expansion of 0 in K 1.814 * [backup-simplify]: Simplify 0 into 0 1.814 * [backup-simplify]: Simplify 0 into 0 1.814 * [taylor]: Taking taylor expansion of 0 in K 1.814 * [backup-simplify]: Simplify 0 into 0 1.814 * [backup-simplify]: Simplify 0 into 0 1.815 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.815 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.816 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.816 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.817 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.817 * [backup-simplify]: Simplify (- 0) into 0 1.817 * [backup-simplify]: Simplify (+ 0 0) into 0 1.818 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.818 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 1.818 * [taylor]: Taking taylor expansion of 0 in K 1.818 * [backup-simplify]: Simplify 0 into 0 1.818 * [backup-simplify]: Simplify 0 into 0 1.819 * [backup-simplify]: Simplify (+ 0) into 0 1.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.819 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 1.820 * [backup-simplify]: Simplify (- 0) into 0 1.820 * [backup-simplify]: Simplify 0 into 0 1.820 * [backup-simplify]: Simplify 0 into 0 1.820 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 1.820 * [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))) 1.820 * [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 1.820 * [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 1.820 * [taylor]: Taking taylor expansion of -2 in K 1.821 * [backup-simplify]: Simplify -2 into -2 1.821 * [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 1.821 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 1.821 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 1.821 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 1.821 * [taylor]: Taking taylor expansion of 1/4 in K 1.821 * [backup-simplify]: Simplify 1/4 into 1/4 1.821 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 1.821 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.821 * [taylor]: Taking taylor expansion of J in K 1.821 * [backup-simplify]: Simplify J into J 1.821 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 1.821 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.821 * [taylor]: Taking taylor expansion of U in K 1.821 * [backup-simplify]: Simplify U into U 1.821 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 1.821 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.821 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.821 * [taylor]: Taking taylor expansion of 1/2 in K 1.821 * [backup-simplify]: Simplify 1/2 into 1/2 1.821 * [taylor]: Taking taylor expansion of K in K 1.821 * [backup-simplify]: Simplify 0 into 0 1.821 * [backup-simplify]: Simplify 1 into 1 1.821 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.821 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.821 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.821 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.821 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.821 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.822 * [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))) 1.822 * [taylor]: Taking taylor expansion of 1 in K 1.822 * [backup-simplify]: Simplify 1 into 1 1.822 * [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)))) 1.822 * [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) 1.822 * [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)) 1.822 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.822 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.822 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.823 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.823 * [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 1.823 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.824 * [backup-simplify]: Simplify (+ 0 0) into 0 1.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 1.824 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.824 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.824 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.824 * [taylor]: Taking taylor expansion of 1/2 in K 1.824 * [backup-simplify]: Simplify 1/2 into 1/2 1.824 * [taylor]: Taking taylor expansion of K in K 1.824 * [backup-simplify]: Simplify 0 into 0 1.824 * [backup-simplify]: Simplify 1 into 1 1.824 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.824 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.824 * [taylor]: Taking taylor expansion of J in K 1.824 * [backup-simplify]: Simplify J into J 1.824 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.824 * [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 1.824 * [taylor]: Taking taylor expansion of -2 in J 1.825 * [backup-simplify]: Simplify -2 into -2 1.825 * [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 1.825 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 1.825 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 1.825 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 1.825 * [taylor]: Taking taylor expansion of 1/4 in J 1.825 * [backup-simplify]: Simplify 1/4 into 1/4 1.825 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 1.825 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.825 * [taylor]: Taking taylor expansion of J in J 1.825 * [backup-simplify]: Simplify 0 into 0 1.825 * [backup-simplify]: Simplify 1 into 1 1.825 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 1.825 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.825 * [taylor]: Taking taylor expansion of U in J 1.825 * [backup-simplify]: Simplify U into U 1.825 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.825 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.825 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.825 * [taylor]: Taking taylor expansion of 1/2 in J 1.825 * [backup-simplify]: Simplify 1/2 into 1/2 1.825 * [taylor]: Taking taylor expansion of K in J 1.825 * [backup-simplify]: Simplify K into K 1.825 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.825 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.825 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.825 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.825 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.825 * [backup-simplify]: Simplify (- 0) into 0 1.825 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.826 * [backup-simplify]: Simplify (* 1 1) into 1 1.826 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.826 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.826 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.826 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 1.826 * [taylor]: Taking taylor expansion of 1 in J 1.826 * [backup-simplify]: Simplify 1 into 1 1.826 * [backup-simplify]: Simplify (+ 0 1) into 1 1.827 * [backup-simplify]: Simplify (sqrt 1) into 1 1.827 * [backup-simplify]: Simplify (+ 0 0) into 0 1.827 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.827 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.827 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.827 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.827 * [taylor]: Taking taylor expansion of 1/2 in J 1.827 * [backup-simplify]: Simplify 1/2 into 1/2 1.827 * [taylor]: Taking taylor expansion of K in J 1.827 * [backup-simplify]: Simplify K into K 1.827 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.827 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.828 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.828 * [taylor]: Taking taylor expansion of J in J 1.828 * [backup-simplify]: Simplify 0 into 0 1.828 * [backup-simplify]: Simplify 1 into 1 1.828 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.828 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.828 * [backup-simplify]: Simplify (- 0) into 0 1.828 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.828 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.828 * [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 1.828 * [taylor]: Taking taylor expansion of -2 in U 1.828 * [backup-simplify]: Simplify -2 into -2 1.828 * [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 1.828 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.828 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.828 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.828 * [taylor]: Taking taylor expansion of 1/4 in U 1.828 * [backup-simplify]: Simplify 1/4 into 1/4 1.828 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.828 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.828 * [taylor]: Taking taylor expansion of J in U 1.828 * [backup-simplify]: Simplify J into J 1.828 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.828 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.828 * [taylor]: Taking taylor expansion of U in U 1.828 * [backup-simplify]: Simplify 0 into 0 1.828 * [backup-simplify]: Simplify 1 into 1 1.828 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.828 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.828 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.828 * [taylor]: Taking taylor expansion of 1/2 in U 1.828 * [backup-simplify]: Simplify 1/2 into 1/2 1.828 * [taylor]: Taking taylor expansion of K in U 1.828 * [backup-simplify]: Simplify K into K 1.829 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.829 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.829 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.829 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.829 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.829 * [backup-simplify]: Simplify (- 0) into 0 1.829 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.829 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.829 * [backup-simplify]: Simplify (* 1 1) into 1 1.829 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.830 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.830 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.830 * [taylor]: Taking taylor expansion of 1 in U 1.830 * [backup-simplify]: Simplify 1 into 1 1.830 * [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))) 1.830 * [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))) 1.830 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.830 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.830 * [backup-simplify]: Simplify (+ 0) into 0 1.831 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.831 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.831 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.832 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.832 * [backup-simplify]: Simplify (- 0) into 0 1.832 * [backup-simplify]: Simplify (+ 0 0) into 0 1.833 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.833 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.833 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.834 * [backup-simplify]: 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 1.834 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.834 * [backup-simplify]: Simplify (+ 0 0) into 0 1.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.834 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 1.834 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.835 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.835 * [taylor]: Taking taylor expansion of 1/2 in U 1.835 * [backup-simplify]: Simplify 1/2 into 1/2 1.835 * [taylor]: Taking taylor expansion of K in U 1.835 * [backup-simplify]: Simplify K into K 1.835 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.835 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.835 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.835 * [taylor]: Taking taylor expansion of J in U 1.835 * [backup-simplify]: Simplify J into J 1.835 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.835 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.835 * [backup-simplify]: Simplify (- 0) into 0 1.835 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.835 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.835 * [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 1.835 * [taylor]: Taking taylor expansion of -2 in U 1.835 * [backup-simplify]: Simplify -2 into -2 1.835 * [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 1.835 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.835 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.835 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.835 * [taylor]: Taking taylor expansion of 1/4 in U 1.835 * [backup-simplify]: Simplify 1/4 into 1/4 1.835 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.835 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.835 * [taylor]: Taking taylor expansion of J in U 1.835 * [backup-simplify]: Simplify J into J 1.835 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.836 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.836 * [taylor]: Taking taylor expansion of U in U 1.836 * [backup-simplify]: Simplify 0 into 0 1.836 * [backup-simplify]: Simplify 1 into 1 1.836 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.836 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.836 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.836 * [taylor]: Taking taylor expansion of 1/2 in U 1.836 * [backup-simplify]: Simplify 1/2 into 1/2 1.836 * [taylor]: Taking taylor expansion of K in U 1.836 * [backup-simplify]: Simplify K into K 1.836 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.836 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.836 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.836 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.836 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.836 * [backup-simplify]: Simplify (- 0) into 0 1.836 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.836 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.837 * [backup-simplify]: Simplify (* 1 1) into 1 1.837 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.837 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.837 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.837 * [taylor]: Taking taylor expansion of 1 in U 1.837 * [backup-simplify]: Simplify 1 into 1 1.837 * [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))) 1.837 * [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))) 1.837 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.837 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.838 * [backup-simplify]: Simplify (+ 0) into 0 1.838 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.838 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.839 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.839 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.839 * [backup-simplify]: Simplify (- 0) into 0 1.839 * [backup-simplify]: Simplify (+ 0 0) into 0 1.839 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.840 * [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 1.841 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.843 * [backup-simplify]: Simplify (+ 0 0) into 0 1.844 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.844 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 1.844 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.844 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.844 * [taylor]: Taking taylor expansion of 1/2 in U 1.844 * [backup-simplify]: Simplify 1/2 into 1/2 1.844 * [taylor]: Taking taylor expansion of K in U 1.844 * [backup-simplify]: Simplify K into K 1.844 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.844 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.844 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.844 * [taylor]: Taking taylor expansion of J in U 1.844 * [backup-simplify]: Simplify J into J 1.844 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.845 * [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 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.847 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2 1.848 * [backup-simplify]: Simplify (* -2 1/2) into -1 1.848 * [taylor]: Taking taylor expansion of -1 in J 1.848 * [backup-simplify]: Simplify -1 into -1 1.848 * [backup-simplify]: Simplify (+ 0) into 0 1.849 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.849 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.850 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.850 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.851 * [backup-simplify]: Simplify (- 0) into 0 1.851 * [backup-simplify]: Simplify (+ 0 0) into 0 1.851 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 1.851 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 1.852 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 1.852 * [taylor]: Taking taylor expansion of 0 in J 1.852 * [backup-simplify]: Simplify 0 into 0 1.852 * [taylor]: Taking taylor expansion of -1 in K 1.852 * [backup-simplify]: Simplify -1 into -1 1.852 * [backup-simplify]: Simplify -1 into -1 1.853 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.854 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.854 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.855 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.856 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.856 * [backup-simplify]: Simplify (- 0) into 0 1.856 * [backup-simplify]: Simplify (+ 0 0) into 0 1.857 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.857 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.858 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.859 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.859 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.860 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.860 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.861 * [backup-simplify]: Simplify (- 0) into 0 1.861 * [backup-simplify]: Simplify (+ 0 0) into 0 1.862 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 1.864 * [backup-simplify]: 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 1.865 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.866 * [backup-simplify]: Simplify (+ 0 1) into 1 1.866 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 1.867 * [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)) 1.868 * [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)))) 1.868 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 1.868 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 1.868 * [taylor]: Taking taylor expansion of 2 in J 1.868 * [backup-simplify]: Simplify 2 into 2 1.868 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 1.868 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.868 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.868 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.868 * [taylor]: Taking taylor expansion of 1/2 in J 1.868 * [backup-simplify]: Simplify 1/2 into 1/2 1.869 * [taylor]: Taking taylor expansion of K in J 1.869 * [backup-simplify]: Simplify K into K 1.869 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.869 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.869 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.869 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.869 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.869 * [backup-simplify]: Simplify (- 0) into 0 1.870 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.870 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.870 * [taylor]: Taking taylor expansion of J in J 1.870 * [backup-simplify]: Simplify 0 into 0 1.870 * [backup-simplify]: Simplify 1 into 1 1.870 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.870 * [backup-simplify]: Simplify (* 1 1) into 1 1.870 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 1.871 * [backup-simplify]: Simplify (+ 0) into 0 1.871 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.871 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.872 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.873 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.873 * [backup-simplify]: Simplify (- 0) into 0 1.874 * [backup-simplify]: Simplify (+ 0 0) into 0 1.874 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 1.876 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.876 * [backup-simplify]: Simplify (- 0) into 0 1.876 * [taylor]: Taking taylor expansion of 0 in K 1.877 * [backup-simplify]: Simplify 0 into 0 1.877 * [backup-simplify]: Simplify 0 into 0 1.877 * [taylor]: Taking taylor expansion of 0 in K 1.877 * [backup-simplify]: Simplify 0 into 0 1.877 * [backup-simplify]: Simplify 0 into 0 1.877 * [taylor]: Taking taylor expansion of 0 in K 1.877 * [backup-simplify]: Simplify 0 into 0 1.877 * [backup-simplify]: Simplify 0 into 0 1.877 * [backup-simplify]: Simplify 0 into 0 1.878 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.879 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.879 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.881 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.882 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.882 * [backup-simplify]: Simplify (- 0) into 0 1.883 * [backup-simplify]: Simplify (+ 0 0) into 0 1.883 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.884 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.885 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.886 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.886 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.888 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.888 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.889 * [backup-simplify]: Simplify (- 0) into 0 1.889 * [backup-simplify]: Simplify (+ 0 0) into 0 1.890 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 1.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.893 * [backup-simplify]: 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 1.894 * [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 1.895 * [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 (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (/ 1/2 K)) J) 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0 1.897 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 1.897 * [taylor]: Taking taylor expansion of 0 in J 1.897 * [backup-simplify]: Simplify 0 into 0 1.898 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.899 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.899 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.900 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.900 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.901 * [backup-simplify]: Simplify (- 0) into 0 1.901 * [backup-simplify]: Simplify (+ 0 0) into 0 1.901 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.905 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 1.905 * [backup-simplify]: Simplify (- 0) into 0 1.905 * [taylor]: Taking taylor expansion of 0 in K 1.905 * [backup-simplify]: Simplify 0 into 0 1.905 * [backup-simplify]: Simplify 0 into 0 1.905 * [taylor]: Taking taylor expansion of 0 in K 1.905 * [backup-simplify]: Simplify 0 into 0 1.905 * [backup-simplify]: Simplify 0 into 0 1.905 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 1.906 * [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)))))))) 1.906 * [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 1.906 * [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 1.907 * [taylor]: Taking taylor expansion of 2 in K 1.907 * [backup-simplify]: Simplify 2 into 2 1.907 * [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 1.907 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.907 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.907 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.907 * [taylor]: Taking taylor expansion of -1/2 in K 1.907 * [backup-simplify]: Simplify -1/2 into -1/2 1.907 * [taylor]: Taking taylor expansion of K in K 1.907 * [backup-simplify]: Simplify 0 into 0 1.907 * [backup-simplify]: Simplify 1 into 1 1.907 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.907 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.907 * [taylor]: Taking taylor expansion of J in K 1.908 * [backup-simplify]: Simplify J into J 1.908 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.908 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 1.908 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 1.908 * [taylor]: Taking taylor expansion of 1 in K 1.908 * [backup-simplify]: Simplify 1 into 1 1.908 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 1.908 * [taylor]: Taking taylor expansion of 1/4 in K 1.908 * [backup-simplify]: Simplify 1/4 into 1/4 1.908 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 1.908 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.908 * [taylor]: Taking taylor expansion of J in K 1.908 * [backup-simplify]: Simplify J into J 1.908 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 1.908 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 1.908 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.908 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.908 * [taylor]: Taking taylor expansion of -1/2 in K 1.908 * [backup-simplify]: Simplify -1/2 into -1/2 1.908 * [taylor]: Taking taylor expansion of K in K 1.908 * [backup-simplify]: Simplify 0 into 0 1.908 * [backup-simplify]: Simplify 1 into 1 1.909 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.909 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.909 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.909 * [taylor]: Taking taylor expansion of U in K 1.909 * [backup-simplify]: Simplify U into U 1.909 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.909 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.909 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.910 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.910 * [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))) 1.910 * [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)))) 1.910 * [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))))) 1.911 * [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)))))) 1.911 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.911 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.911 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.911 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 1.912 * [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 1.913 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 1.913 * [backup-simplify]: Simplify (+ 0 0) into 0 1.914 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 1.914 * [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 1.914 * [taylor]: Taking taylor expansion of 2 in J 1.914 * [backup-simplify]: Simplify 2 into 2 1.914 * [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 1.914 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.914 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.914 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.914 * [taylor]: Taking taylor expansion of -1/2 in J 1.914 * [backup-simplify]: Simplify -1/2 into -1/2 1.914 * [taylor]: Taking taylor expansion of K in J 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 * [taylor]: Taking taylor expansion of J in J 1.914 * [backup-simplify]: Simplify 0 into 0 1.914 * [backup-simplify]: Simplify 1 into 1 1.914 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.915 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.915 * [backup-simplify]: Simplify (- 0) into 0 1.915 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.915 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.915 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 1.915 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 1.915 * [taylor]: Taking taylor expansion of 1 in J 1.915 * [backup-simplify]: Simplify 1 into 1 1.915 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 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 J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 1.915 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.915 * [taylor]: Taking taylor expansion of J in J 1.915 * [backup-simplify]: Simplify 0 into 0 1.915 * [backup-simplify]: Simplify 1 into 1 1.915 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 1.915 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.916 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.916 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.916 * [taylor]: Taking taylor expansion of -1/2 in J 1.916 * [backup-simplify]: Simplify -1/2 into -1/2 1.916 * [taylor]: Taking taylor expansion of K in J 1.916 * [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 U 2) in J 1.916 * [taylor]: Taking taylor expansion of U in J 1.917 * [backup-simplify]: Simplify U into U 1.917 * [backup-simplify]: Simplify (* 1 1) into 1 1.917 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.917 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.917 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.917 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 1.918 * [backup-simplify]: Simplify (+ 1 0) into 1 1.918 * [backup-simplify]: Simplify (sqrt 1) into 1 1.919 * [backup-simplify]: Simplify (+ 0 0) into 0 1.919 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.919 * [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 1.919 * [taylor]: Taking taylor expansion of 2 in U 1.919 * [backup-simplify]: Simplify 2 into 2 1.919 * [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 1.919 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 1.920 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.920 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.920 * [taylor]: Taking taylor expansion of -1/2 in U 1.920 * [backup-simplify]: Simplify -1/2 into -1/2 1.920 * [taylor]: Taking taylor expansion of K in U 1.920 * [backup-simplify]: Simplify K into K 1.920 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.920 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.920 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.920 * [taylor]: Taking taylor expansion of J in U 1.920 * [backup-simplify]: Simplify J into J 1.920 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.920 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.920 * [backup-simplify]: Simplify (- 0) into 0 1.921 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.921 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.921 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 1.921 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 1.921 * [taylor]: Taking taylor expansion of 1 in U 1.921 * [backup-simplify]: Simplify 1 into 1 1.921 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.921 * [taylor]: Taking taylor expansion of 1/4 in U 1.921 * [backup-simplify]: Simplify 1/4 into 1/4 1.921 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.921 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.921 * [taylor]: Taking taylor expansion of J in U 1.921 * [backup-simplify]: Simplify J into J 1.921 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.921 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.921 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.921 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.921 * [taylor]: Taking taylor expansion of -1/2 in U 1.921 * [backup-simplify]: Simplify -1/2 into -1/2 1.921 * [taylor]: Taking taylor expansion of K in U 1.921 * [backup-simplify]: Simplify K into K 1.921 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.921 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.921 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.921 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.922 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.922 * [backup-simplify]: Simplify (- 0) into 0 1.922 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.922 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.922 * [taylor]: Taking taylor expansion of U in U 1.922 * [backup-simplify]: Simplify 0 into 0 1.922 * [backup-simplify]: Simplify 1 into 1 1.922 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.922 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.923 * [backup-simplify]: Simplify (* 1 1) into 1 1.923 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.923 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.923 * [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))) 1.924 * [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))) 1.924 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.924 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.925 * [backup-simplify]: Simplify (+ 0) into 0 1.925 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.926 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.927 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.927 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.927 * [backup-simplify]: Simplify (- 0) into 0 1.928 * [backup-simplify]: Simplify (+ 0 0) into 0 1.928 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.928 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.929 * [backup-simplify]: 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 1.930 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.930 * [backup-simplify]: Simplify (+ 0 0) into 0 1.930 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.930 * [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 1.930 * [taylor]: Taking taylor expansion of 2 in U 1.930 * [backup-simplify]: Simplify 2 into 2 1.930 * [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 1.930 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 1.930 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.930 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.930 * [taylor]: Taking taylor expansion of -1/2 in U 1.931 * [backup-simplify]: Simplify -1/2 into -1/2 1.931 * [taylor]: Taking taylor expansion of K in U 1.931 * [backup-simplify]: Simplify K into K 1.931 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.931 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.931 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.931 * [taylor]: Taking taylor expansion of J in U 1.931 * [backup-simplify]: Simplify J into J 1.931 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.931 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.931 * [backup-simplify]: Simplify (- 0) into 0 1.931 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.932 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.932 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 1.932 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 1.932 * [taylor]: Taking taylor expansion of 1 in U 1.932 * [backup-simplify]: Simplify 1 into 1 1.932 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.932 * [taylor]: Taking taylor expansion of 1/4 in U 1.932 * [backup-simplify]: Simplify 1/4 into 1/4 1.932 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.932 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.932 * [taylor]: Taking taylor expansion of J in U 1.932 * [backup-simplify]: Simplify J into J 1.932 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.932 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.932 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.932 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.932 * [taylor]: Taking taylor expansion of -1/2 in U 1.932 * [backup-simplify]: Simplify -1/2 into -1/2 1.932 * [taylor]: Taking taylor expansion of K in U 1.932 * [backup-simplify]: Simplify K into K 1.932 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.932 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.932 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.932 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.933 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.933 * [backup-simplify]: Simplify (- 0) into 0 1.933 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.933 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.933 * [taylor]: Taking taylor expansion of U in U 1.933 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify 1 into 1 1.933 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.933 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.934 * [backup-simplify]: Simplify (* 1 1) into 1 1.934 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.935 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.935 * [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))) 1.935 * [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))) 1.935 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.935 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.937 * [backup-simplify]: Simplify (+ 0) into 0 1.937 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.937 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.938 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.938 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.939 * [backup-simplify]: Simplify (- 0) into 0 1.939 * [backup-simplify]: Simplify (+ 0 0) into 0 1.939 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.940 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.940 * [backup-simplify]: 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 1.941 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.941 * [backup-simplify]: Simplify (+ 0 0) into 0 1.942 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.942 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2 1.942 * [backup-simplify]: Simplify (* 2 1/2) into 1 1.942 * [taylor]: Taking taylor expansion of 1 in J 1.942 * [backup-simplify]: Simplify 1 into 1 1.943 * [backup-simplify]: Simplify (+ 0) into 0 1.943 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.944 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.944 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.945 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.945 * [backup-simplify]: Simplify (- 0) into 0 1.946 * [backup-simplify]: Simplify (+ 0 0) into 0 1.946 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 1.946 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 1.947 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 1.947 * [taylor]: Taking taylor expansion of 0 in J 1.947 * [backup-simplify]: Simplify 0 into 0 1.947 * [taylor]: Taking taylor expansion of 1 in K 1.947 * [backup-simplify]: Simplify 1 into 1 1.947 * [backup-simplify]: Simplify 1 into 1 1.948 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.949 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.950 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.950 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.951 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.952 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.952 * [backup-simplify]: Simplify (- 0) into 0 1.953 * [backup-simplify]: Simplify (+ 0 0) into 0 1.953 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.954 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 1.955 * [backup-simplify]: 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 1.956 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 1.956 * [backup-simplify]: Simplify (+ 1 0) into 1 1.957 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 1.958 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.959 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.959 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.960 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.960 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.961 * [backup-simplify]: Simplify (- 0) into 0 1.961 * [backup-simplify]: Simplify (+ 0 0) into 0 1.961 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.962 * [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)) 1.963 * [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))) 1.963 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 1.963 * [taylor]: Taking taylor expansion of 2 in J 1.963 * [backup-simplify]: Simplify 2 into 2 1.963 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 1.963 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.963 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.963 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.963 * [taylor]: Taking taylor expansion of -1/2 in J 1.963 * [backup-simplify]: Simplify -1/2 into -1/2 1.963 * [taylor]: Taking taylor expansion of K in J 1.963 * [backup-simplify]: Simplify K into K 1.963 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.963 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.963 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.963 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.964 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.964 * [backup-simplify]: Simplify (- 0) into 0 1.964 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.964 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.964 * [taylor]: Taking taylor expansion of J in J 1.964 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify 1 into 1 1.964 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.965 * [backup-simplify]: Simplify (* 1 1) into 1 1.965 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.965 * [backup-simplify]: Simplify (+ 0) into 0 1.966 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.966 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.967 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.967 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.968 * [backup-simplify]: Simplify (- 0) into 0 1.968 * [backup-simplify]: Simplify (+ 0 0) into 0 1.968 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 1.970 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 1.970 * [taylor]: Taking taylor expansion of 0 in K 1.970 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify 0 into 0 1.971 * [taylor]: Taking taylor expansion of 0 in K 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [taylor]: Taking taylor expansion of 0 in K 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.974 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.975 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.975 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.977 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.978 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.978 * [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 (cos (/ -1/2 K)))))) into 0 1.980 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.981 * [backup-simplify]: 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 1.982 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.983 * [backup-simplify]: Simplify (+ 0 0) into 0 1.983 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 1.984 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.985 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.985 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.987 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.988 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.988 * [backup-simplify]: Simplify (- 0) into 0 1.988 * [backup-simplify]: Simplify (+ 0 0) into 0 1.989 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.989 * [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 1.991 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 1.991 * [taylor]: Taking taylor expansion of 0 in J 1.991 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.992 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.992 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.994 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.994 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.994 * [backup-simplify]: Simplify (- 0) into 0 1.997 * [backup-simplify]: Simplify (+ 0 0) into 0 1.998 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.001 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 2.001 * [taylor]: Taking taylor expansion of 0 in K 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [taylor]: Taking taylor expansion of 0 in K 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 2.001 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 2.001 * [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)))) 2.001 * [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 2.002 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 2.002 * [taylor]: Taking taylor expansion of 1/4 in K 2.002 * [backup-simplify]: Simplify 1/4 into 1/4 2.002 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 2.002 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.002 * [taylor]: Taking taylor expansion of U in K 2.002 * [backup-simplify]: Simplify U into U 2.002 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 2.002 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 2.002 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.002 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.002 * [taylor]: Taking taylor expansion of 1/2 in K 2.002 * [backup-simplify]: Simplify 1/2 into 1/2 2.002 * [taylor]: Taking taylor expansion of K in K 2.002 * [backup-simplify]: Simplify 0 into 0 2.002 * [backup-simplify]: Simplify 1 into 1 2.002 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.003 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.003 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.003 * [taylor]: Taking taylor expansion of J in K 2.003 * [backup-simplify]: Simplify J into J 2.003 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.003 * [backup-simplify]: Simplify (* 1 1) into 1 2.004 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.004 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 2.004 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 2.004 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 2.004 * [taylor]: Taking taylor expansion of 1/4 in J 2.004 * [backup-simplify]: Simplify 1/4 into 1/4 2.004 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 2.004 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.004 * [taylor]: Taking taylor expansion of U in J 2.004 * [backup-simplify]: Simplify U into U 2.004 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 2.004 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 2.004 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.004 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.004 * [taylor]: Taking taylor expansion of 1/2 in J 2.004 * [backup-simplify]: Simplify 1/2 into 1/2 2.004 * [taylor]: Taking taylor expansion of K in J 2.004 * [backup-simplify]: Simplify K into K 2.004 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.004 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.004 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.004 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.004 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.005 * [backup-simplify]: Simplify (- 0) into 0 2.005 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.005 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.005 * [taylor]: Taking taylor expansion of J in J 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify 1 into 1 2.005 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.005 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.006 * [backup-simplify]: Simplify (* 1 1) into 1 2.006 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 2.006 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 2.006 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 2.006 * [taylor]: Taking taylor expansion of 1/4 in U 2.006 * [backup-simplify]: Simplify 1/4 into 1/4 2.006 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 2.006 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.006 * [taylor]: Taking taylor expansion of U in U 2.006 * [backup-simplify]: Simplify 0 into 0 2.006 * [backup-simplify]: Simplify 1 into 1 2.006 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 2.006 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 2.006 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 2.006 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 2.006 * [taylor]: Taking taylor expansion of 1/2 in U 2.006 * [backup-simplify]: Simplify 1/2 into 1/2 2.006 * [taylor]: Taking taylor expansion of K in U 2.006 * [backup-simplify]: Simplify K into K 2.006 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.006 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.006 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.006 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.007 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.007 * [backup-simplify]: Simplify (- 0) into 0 2.007 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.007 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.007 * [taylor]: Taking taylor expansion of J in U 2.007 * [backup-simplify]: Simplify J into J 2.007 * [backup-simplify]: Simplify (* 1 1) into 1 2.008 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.008 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.008 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 2.008 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 2.008 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 2.008 * [taylor]: Taking taylor expansion of 1/4 in U 2.008 * [backup-simplify]: Simplify 1/4 into 1/4 2.008 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 2.008 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.008 * [taylor]: Taking taylor expansion of U in U 2.008 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify 1 into 1 2.008 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 2.008 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 2.008 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 2.008 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 2.008 * [taylor]: Taking taylor expansion of 1/2 in U 2.008 * [backup-simplify]: Simplify 1/2 into 1/2 2.008 * [taylor]: Taking taylor expansion of K in U 2.008 * [backup-simplify]: Simplify K into K 2.008 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.008 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.009 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.009 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.009 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.009 * [backup-simplify]: Simplify (- 0) into 0 2.009 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.009 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.009 * [taylor]: Taking taylor expansion of J in U 2.009 * [backup-simplify]: Simplify J into J 2.010 * [backup-simplify]: Simplify (* 1 1) into 1 2.010 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.010 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.010 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 2.010 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 2.010 * [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))) 2.010 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 2.010 * [taylor]: Taking taylor expansion of 1/4 in J 2.011 * [backup-simplify]: Simplify 1/4 into 1/4 2.011 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 2.011 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 2.011 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.011 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.011 * [taylor]: Taking taylor expansion of 1/2 in J 2.011 * [backup-simplify]: Simplify 1/2 into 1/2 2.011 * [taylor]: Taking taylor expansion of K in J 2.011 * [backup-simplify]: Simplify K into K 2.011 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.011 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.011 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.011 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.011 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.011 * [backup-simplify]: Simplify (- 0) into 0 2.012 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.012 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.012 * [taylor]: Taking taylor expansion of J in J 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify 1 into 1 2.012 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.012 * [backup-simplify]: Simplify (* 1 1) into 1 2.012 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 2.012 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (* 1/2 K)) 2)) into (/ 1/4 (pow (cos (* 1/2 K)) 2)) 2.012 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (* 1/2 K)) 2)) in K 2.012 * [taylor]: Taking taylor expansion of 1/4 in K 2.012 * [backup-simplify]: Simplify 1/4 into 1/4 2.013 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 2.013 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.013 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.013 * [taylor]: Taking taylor expansion of 1/2 in K 2.013 * [backup-simplify]: Simplify 1/2 into 1/2 2.013 * [taylor]: Taking taylor expansion of K in K 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify 1 into 1 2.013 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.014 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.014 * [backup-simplify]: Simplify (* 1 1) into 1 2.015 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 2.015 * [backup-simplify]: Simplify 1/4 into 1/4 2.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.015 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.016 * [backup-simplify]: Simplify (+ 0) into 0 2.016 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.017 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.018 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.018 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.018 * [backup-simplify]: Simplify (- 0) into 0 2.019 * [backup-simplify]: Simplify (+ 0 0) into 0 2.019 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 2.019 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 2.019 * [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 2.020 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 2.020 * [taylor]: Taking taylor expansion of 0 in J 2.020 * [backup-simplify]: Simplify 0 into 0 2.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.021 * [backup-simplify]: Simplify (+ 0) into 0 2.022 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.022 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.023 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.023 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.024 * [backup-simplify]: Simplify (- 0) into 0 2.024 * [backup-simplify]: Simplify (+ 0 0) into 0 2.024 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 2.025 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 2.025 * [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 2.025 * [taylor]: Taking taylor expansion of 0 in K 2.025 * [backup-simplify]: Simplify 0 into 0 2.025 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify (+ 0) into 0 2.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 2.027 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.029 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.030 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.030 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.031 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 2.032 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.032 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.033 * [backup-simplify]: Simplify (- 0) into 0 2.033 * [backup-simplify]: Simplify (+ 0 0) into 0 2.033 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 2.034 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0 2.035 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (* 0 (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 2.035 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 2.035 * [taylor]: Taking taylor expansion of 0 in J 2.035 * [backup-simplify]: Simplify 0 into 0 2.036 * [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 2.039 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 2.039 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.040 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.040 * [backup-simplify]: Simplify (- 0) into 0 2.041 * [backup-simplify]: Simplify (+ 0 0) into 0 2.041 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 2.042 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 2.042 * [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 2.042 * [taylor]: Taking taylor expansion of 0 in K 2.042 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify 0 into 0 2.043 * [backup-simplify]: Simplify 0 into 0 2.044 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 2.045 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4 2.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ -1/4 1)) (* 0 (/ 0 1)))) into 1/16 2.046 * [backup-simplify]: Simplify 1/16 into 1/16 2.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.048 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 2.049 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.050 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.051 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 2.052 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.053 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.053 * [backup-simplify]: Simplify (- 0) into 0 2.054 * [backup-simplify]: Simplify (+ 0 0) into 0 2.055 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 2.056 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0 2.056 * [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 2.058 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) into 0 2.058 * [taylor]: Taking taylor expansion of 0 in J 2.058 * [backup-simplify]: Simplify 0 into 0 2.058 * [taylor]: Taking taylor expansion of 0 in K 2.058 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify 0 into 0 2.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.060 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.060 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.062 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 2.063 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.064 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 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 (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 2.066 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.066 * [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 2.067 * [taylor]: Taking taylor expansion of 0 in K 2.067 * [backup-simplify]: Simplify 0 into 0 2.067 * [backup-simplify]: Simplify 0 into 0 2.067 * [backup-simplify]: Simplify 0 into 0 2.067 * [backup-simplify]: Simplify 0 into 0 2.068 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 2.069 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0 2.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ -1/4 1)) (* 1/16 (/ 0 1)))) into 0 2.071 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.074 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 2.076 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 2.077 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.078 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 2.080 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.080 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 2.081 * [backup-simplify]: Simplify (- 0) into 0 2.081 * [backup-simplify]: Simplify (+ 0 0) into 0 2.082 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0 2.084 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2)))))) into 0 2.084 * [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 2.086 * [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 2.086 * [taylor]: Taking taylor expansion of 0 in J 2.086 * [backup-simplify]: Simplify 0 into 0 2.086 * [taylor]: Taking taylor expansion of 0 in K 2.086 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify 0 into 0 2.087 * [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)))) 2.087 * [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)))) 2.087 * [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 2.087 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 2.087 * [taylor]: Taking taylor expansion of 1/4 in K 2.087 * [backup-simplify]: Simplify 1/4 into 1/4 2.087 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 2.087 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.087 * [taylor]: Taking taylor expansion of J in K 2.087 * [backup-simplify]: Simplify J into J 2.087 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 2.087 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.087 * [taylor]: Taking taylor expansion of U in K 2.087 * [backup-simplify]: Simplify U into U 2.087 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 2.088 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.088 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.088 * [taylor]: Taking taylor expansion of 1/2 in K 2.088 * [backup-simplify]: Simplify 1/2 into 1/2 2.088 * [taylor]: Taking taylor expansion of K in K 2.088 * [backup-simplify]: Simplify 0 into 0 2.088 * [backup-simplify]: Simplify 1 into 1 2.088 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.088 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.088 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.088 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.088 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.089 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 2.089 * [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))) 2.089 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 2.089 * [taylor]: Taking taylor expansion of 1/4 in J 2.089 * [backup-simplify]: Simplify 1/4 into 1/4 2.089 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 2.089 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.089 * [taylor]: Taking taylor expansion of J in J 2.089 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify 1 into 1 2.089 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 2.089 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.089 * [taylor]: Taking taylor expansion of U in J 2.089 * [backup-simplify]: Simplify U into U 2.089 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 2.089 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.089 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.089 * [taylor]: Taking taylor expansion of 1/2 in J 2.089 * [backup-simplify]: Simplify 1/2 into 1/2 2.089 * [taylor]: Taking taylor expansion of K in J 2.089 * [backup-simplify]: Simplify K into K 2.089 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.089 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.089 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.090 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.090 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.090 * [backup-simplify]: Simplify (- 0) into 0 2.090 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.090 * [backup-simplify]: Simplify (* 1 1) into 1 2.090 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.091 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.091 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 2.091 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 2.091 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 2.091 * [taylor]: Taking taylor expansion of 1/4 in U 2.091 * [backup-simplify]: Simplify 1/4 into 1/4 2.091 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 2.091 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.091 * [taylor]: Taking taylor expansion of J in U 2.091 * [backup-simplify]: Simplify J into J 2.091 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 2.091 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.091 * [taylor]: Taking taylor expansion of U in U 2.091 * [backup-simplify]: Simplify 0 into 0 2.091 * [backup-simplify]: Simplify 1 into 1 2.091 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 2.091 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.091 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.091 * [taylor]: Taking taylor expansion of 1/2 in U 2.091 * [backup-simplify]: Simplify 1/2 into 1/2 2.091 * [taylor]: Taking taylor expansion of K in U 2.091 * [backup-simplify]: Simplify K into K 2.091 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.091 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.092 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.092 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.092 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.092 * [backup-simplify]: Simplify (- 0) into 0 2.092 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.092 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.093 * [backup-simplify]: Simplify (* 1 1) into 1 2.093 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.093 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 2.093 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 2.093 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 2.093 * [taylor]: Taking taylor expansion of 1/4 in U 2.093 * [backup-simplify]: Simplify 1/4 into 1/4 2.093 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 2.093 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.093 * [taylor]: Taking taylor expansion of J in U 2.093 * [backup-simplify]: Simplify J into J 2.093 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 2.093 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.093 * [taylor]: Taking taylor expansion of U in U 2.093 * [backup-simplify]: Simplify 0 into 0 2.093 * [backup-simplify]: Simplify 1 into 1 2.093 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 2.093 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.093 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.093 * [taylor]: Taking taylor expansion of 1/2 in U 2.093 * [backup-simplify]: Simplify 1/2 into 1/2 2.093 * [taylor]: Taking taylor expansion of K in U 2.093 * [backup-simplify]: Simplify K into K 2.093 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.094 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.094 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.094 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.094 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.094 * [backup-simplify]: Simplify (- 0) into 0 2.094 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.094 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.095 * [backup-simplify]: Simplify (* 1 1) into 1 2.095 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.095 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 2.095 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 2.095 * [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))) 2.095 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 2.095 * [taylor]: Taking taylor expansion of 1/4 in J 2.095 * [backup-simplify]: Simplify 1/4 into 1/4 2.095 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 2.096 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.096 * [taylor]: Taking taylor expansion of J in J 2.096 * [backup-simplify]: Simplify 0 into 0 2.096 * [backup-simplify]: Simplify 1 into 1 2.096 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 2.096 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.096 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.096 * [taylor]: Taking taylor expansion of 1/2 in J 2.096 * [backup-simplify]: Simplify 1/2 into 1/2 2.096 * [taylor]: Taking taylor expansion of K in J 2.096 * [backup-simplify]: Simplify K into K 2.096 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.096 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.096 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.096 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.096 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.096 * [backup-simplify]: Simplify (- 0) into 0 2.097 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.097 * [backup-simplify]: Simplify (* 1 1) into 1 2.097 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.097 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 2.097 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2.097 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K 2.097 * [taylor]: Taking taylor expansion of 1/4 in K 2.097 * [backup-simplify]: Simplify 1/4 into 1/4 2.097 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 2.097 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.097 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.097 * [taylor]: Taking taylor expansion of 1/2 in K 2.097 * [backup-simplify]: Simplify 1/2 into 1/2 2.097 * [taylor]: Taking taylor expansion of K in K 2.098 * [backup-simplify]: Simplify 0 into 0 2.098 * [backup-simplify]: Simplify 1 into 1 2.098 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.098 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.098 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.098 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2.098 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2.098 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.099 * [backup-simplify]: Simplify (+ 0) into 0 2.099 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.099 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.100 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.101 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.101 * [backup-simplify]: Simplify (- 0) into 0 2.101 * [backup-simplify]: Simplify (+ 0 0) into 0 2.101 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 2.103 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 2.104 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 2.104 * [taylor]: Taking taylor expansion of 0 in J 2.104 * [backup-simplify]: Simplify 0 into 0 2.104 * [taylor]: Taking taylor expansion of 0 in K 2.104 * [backup-simplify]: Simplify 0 into 0 2.104 * [backup-simplify]: Simplify 0 into 0 2.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.105 * [backup-simplify]: Simplify (+ 0) into 0 2.105 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.105 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.106 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.106 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.107 * [backup-simplify]: Simplify (- 0) into 0 2.107 * [backup-simplify]: Simplify (+ 0 0) into 0 2.107 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.107 * [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 2.108 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 2.108 * [taylor]: Taking taylor expansion of 0 in K 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.109 * [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 2.109 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.110 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.111 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.111 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.111 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.112 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.112 * [backup-simplify]: Simplify (- 0) into 0 2.113 * [backup-simplify]: Simplify (+ 0 0) into 0 2.113 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 2.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 2.116 * [backup-simplify]: 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 2.116 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 2.116 * [taylor]: Taking taylor expansion of 0 in J 2.116 * [backup-simplify]: Simplify 0 into 0 2.117 * [taylor]: Taking taylor expansion of 0 in K 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [taylor]: Taking taylor expansion of 0 in K 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.118 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.119 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.119 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.120 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.121 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.121 * [backup-simplify]: Simplify (- 0) into 0 2.121 * [backup-simplify]: Simplify (+ 0 0) into 0 2.122 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 2.122 * [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 2.123 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 2.124 * [taylor]: Taking taylor expansion of 0 in K 2.124 * [backup-simplify]: Simplify 0 into 0 2.124 * [backup-simplify]: Simplify 0 into 0 2.124 * [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)))) 2.124 * [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)))) 2.124 * [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 2.125 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 2.125 * [taylor]: Taking taylor expansion of 1/4 in K 2.125 * [backup-simplify]: Simplify 1/4 into 1/4 2.125 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 2.125 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.125 * [taylor]: Taking taylor expansion of J in K 2.125 * [backup-simplify]: Simplify J into J 2.125 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 2.125 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 2.125 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.125 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.125 * [taylor]: Taking taylor expansion of -1/2 in K 2.125 * [backup-simplify]: Simplify -1/2 into -1/2 2.125 * [taylor]: Taking taylor expansion of K in K 2.125 * [backup-simplify]: Simplify 0 into 0 2.125 * [backup-simplify]: Simplify 1 into 1 2.125 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.125 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.125 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.125 * [taylor]: Taking taylor expansion of U in K 2.125 * [backup-simplify]: Simplify U into U 2.126 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.126 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.126 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.126 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 2.126 * [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))) 2.126 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 2.126 * [taylor]: Taking taylor expansion of 1/4 in J 2.126 * [backup-simplify]: Simplify 1/4 into 1/4 2.126 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 2.126 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.126 * [taylor]: Taking taylor expansion of J in J 2.126 * [backup-simplify]: Simplify 0 into 0 2.126 * [backup-simplify]: Simplify 1 into 1 2.126 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 2.126 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 2.126 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.126 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.126 * [taylor]: Taking taylor expansion of -1/2 in J 2.126 * [backup-simplify]: Simplify -1/2 into -1/2 2.126 * [taylor]: Taking taylor expansion of K in J 2.126 * [backup-simplify]: Simplify K into K 2.127 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.127 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.127 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.127 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.127 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.127 * [backup-simplify]: Simplify (- 0) into 0 2.127 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.127 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.127 * [taylor]: Taking taylor expansion of U in J 2.127 * [backup-simplify]: Simplify U into U 2.128 * [backup-simplify]: Simplify (* 1 1) into 1 2.128 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.128 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.128 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 2.128 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 2.128 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 2.128 * [taylor]: Taking taylor expansion of 1/4 in U 2.128 * [backup-simplify]: Simplify 1/4 into 1/4 2.128 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 2.128 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.128 * [taylor]: Taking taylor expansion of J in U 2.128 * [backup-simplify]: Simplify J into J 2.128 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 2.128 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 2.128 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.129 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.129 * [taylor]: Taking taylor expansion of -1/2 in U 2.129 * [backup-simplify]: Simplify -1/2 into -1/2 2.129 * [taylor]: Taking taylor expansion of K in U 2.129 * [backup-simplify]: Simplify K into K 2.129 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.129 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.129 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.129 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.129 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.129 * [backup-simplify]: Simplify (- 0) into 0 2.129 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.129 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.129 * [taylor]: Taking taylor expansion of U in U 2.129 * [backup-simplify]: Simplify 0 into 0 2.130 * [backup-simplify]: Simplify 1 into 1 2.130 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.130 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.130 * [backup-simplify]: Simplify (* 1 1) into 1 2.130 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 2.130 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 2.130 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 2.130 * [taylor]: Taking taylor expansion of 1/4 in U 2.130 * [backup-simplify]: Simplify 1/4 into 1/4 2.130 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 2.130 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.130 * [taylor]: Taking taylor expansion of J in U 2.131 * [backup-simplify]: Simplify J into J 2.131 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 2.131 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 2.131 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.131 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.131 * [taylor]: Taking taylor expansion of -1/2 in U 2.131 * [backup-simplify]: Simplify -1/2 into -1/2 2.131 * [taylor]: Taking taylor expansion of K in U 2.131 * [backup-simplify]: Simplify K into K 2.131 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.131 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.131 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.131 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.131 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.131 * [backup-simplify]: Simplify (- 0) into 0 2.131 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.132 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.132 * [taylor]: Taking taylor expansion of U in U 2.132 * [backup-simplify]: Simplify 0 into 0 2.132 * [backup-simplify]: Simplify 1 into 1 2.132 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.132 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.132 * [backup-simplify]: Simplify (* 1 1) into 1 2.132 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 2.132 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 2.133 * [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))) 2.133 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 2.133 * [taylor]: Taking taylor expansion of 1/4 in J 2.133 * [backup-simplify]: Simplify 1/4 into 1/4 2.133 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 2.133 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.133 * [taylor]: Taking taylor expansion of J in J 2.133 * [backup-simplify]: Simplify 0 into 0 2.133 * [backup-simplify]: Simplify 1 into 1 2.133 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 2.133 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.133 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.133 * [taylor]: Taking taylor expansion of -1/2 in J 2.133 * [backup-simplify]: Simplify -1/2 into -1/2 2.133 * [taylor]: Taking taylor expansion of K in J 2.133 * [backup-simplify]: Simplify K into K 2.133 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.133 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.133 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.133 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.133 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.134 * [backup-simplify]: Simplify (- 0) into 0 2.134 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.136 * [backup-simplify]: Simplify (* 1 1) into 1 2.137 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.137 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 2.137 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2.137 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K 2.137 * [taylor]: Taking taylor expansion of 1/4 in K 2.137 * [backup-simplify]: Simplify 1/4 into 1/4 2.137 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 2.137 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.137 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.137 * [taylor]: Taking taylor expansion of -1/2 in K 2.137 * [backup-simplify]: Simplify -1/2 into -1/2 2.137 * [taylor]: Taking taylor expansion of K in K 2.137 * [backup-simplify]: Simplify 0 into 0 2.137 * [backup-simplify]: Simplify 1 into 1 2.138 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.138 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.138 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.138 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2.138 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2.138 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.139 * [backup-simplify]: Simplify (+ 0) into 0 2.140 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.140 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.141 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.141 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.141 * [backup-simplify]: Simplify (- 0) into 0 2.142 * [backup-simplify]: Simplify (+ 0 0) into 0 2.142 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.142 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 2.143 * [backup-simplify]: 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 2.143 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 2.143 * [taylor]: Taking taylor expansion of 0 in J 2.143 * [backup-simplify]: Simplify 0 into 0 2.143 * [taylor]: Taking taylor expansion of 0 in K 2.143 * [backup-simplify]: Simplify 0 into 0 2.143 * [backup-simplify]: Simplify 0 into 0 2.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.144 * [backup-simplify]: Simplify (+ 0) into 0 2.145 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.145 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.145 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.146 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.146 * [backup-simplify]: Simplify (- 0) into 0 2.146 * [backup-simplify]: Simplify (+ 0 0) into 0 2.146 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.147 * [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 2.147 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 2.147 * [taylor]: Taking taylor expansion of 0 in K 2.147 * [backup-simplify]: Simplify 0 into 0 2.147 * [backup-simplify]: Simplify 0 into 0 2.147 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.147 * [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 2.147 * [backup-simplify]: Simplify 0 into 0 2.148 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.149 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.149 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.149 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.150 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.150 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.151 * [backup-simplify]: Simplify (- 0) into 0 2.151 * [backup-simplify]: Simplify (+ 0 0) into 0 2.151 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 2.152 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 2.152 * [backup-simplify]: 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 2.153 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 2.153 * [taylor]: Taking taylor expansion of 0 in J 2.153 * [backup-simplify]: Simplify 0 into 0 2.153 * [taylor]: Taking taylor expansion of 0 in K 2.153 * [backup-simplify]: Simplify 0 into 0 2.153 * [backup-simplify]: Simplify 0 into 0 2.153 * [taylor]: Taking taylor expansion of 0 in K 2.153 * [backup-simplify]: Simplify 0 into 0 2.153 * [backup-simplify]: Simplify 0 into 0 2.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.154 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.154 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.155 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.155 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.155 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.156 * [backup-simplify]: Simplify (- 0) into 0 2.156 * [backup-simplify]: Simplify (+ 0 0) into 0 2.156 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 2.157 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 2.157 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 2.157 * [taylor]: Taking taylor expansion of 0 in K 2.157 * [backup-simplify]: Simplify 0 into 0 2.157 * [backup-simplify]: Simplify 0 into 0 2.158 * [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)))) 2.158 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 2.158 * [backup-simplify]: Simplify (* (cos (/ K 2)) (* -2 J)) into (* -2 (* (cos (* 1/2 K)) J)) 2.158 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in (K J) around 0 2.158 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 2.158 * [taylor]: Taking taylor expansion of -2 in J 2.158 * [backup-simplify]: Simplify -2 into -2 2.158 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 2.158 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.158 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.158 * [taylor]: Taking taylor expansion of 1/2 in J 2.158 * [backup-simplify]: Simplify 1/2 into 1/2 2.158 * [taylor]: Taking taylor expansion of K in J 2.158 * [backup-simplify]: Simplify K into K 2.158 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.158 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.158 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.158 * [taylor]: Taking taylor expansion of J in J 2.158 * [backup-simplify]: Simplify 0 into 0 2.158 * [backup-simplify]: Simplify 1 into 1 2.158 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 2.158 * [taylor]: Taking taylor expansion of -2 in K 2.158 * [backup-simplify]: Simplify -2 into -2 2.158 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 2.158 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.158 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.158 * [taylor]: Taking taylor expansion of 1/2 in K 2.158 * [backup-simplify]: Simplify 1/2 into 1/2 2.158 * [taylor]: Taking taylor expansion of K in K 2.158 * [backup-simplify]: Simplify 0 into 0 2.158 * [backup-simplify]: Simplify 1 into 1 2.159 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.159 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.159 * [taylor]: Taking taylor expansion of J in K 2.159 * [backup-simplify]: Simplify J into J 2.159 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 2.159 * [taylor]: Taking taylor expansion of -2 in K 2.159 * [backup-simplify]: Simplify -2 into -2 2.159 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 2.159 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.159 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.159 * [taylor]: Taking taylor expansion of 1/2 in K 2.159 * [backup-simplify]: Simplify 1/2 into 1/2 2.159 * [taylor]: Taking taylor expansion of K in K 2.159 * [backup-simplify]: Simplify 0 into 0 2.159 * [backup-simplify]: Simplify 1 into 1 2.160 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.160 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.160 * [taylor]: Taking taylor expansion of J in K 2.160 * [backup-simplify]: Simplify J into J 2.160 * [backup-simplify]: Simplify (* 1 J) into J 2.160 * [backup-simplify]: Simplify (* -2 J) into (* -2 J) 2.160 * [taylor]: Taking taylor expansion of (* -2 J) in J 2.160 * [taylor]: Taking taylor expansion of -2 in J 2.160 * [backup-simplify]: Simplify -2 into -2 2.160 * [taylor]: Taking taylor expansion of J in J 2.160 * [backup-simplify]: Simplify 0 into 0 2.160 * [backup-simplify]: Simplify 1 into 1 2.161 * [backup-simplify]: Simplify (* -2 0) into 0 2.161 * [backup-simplify]: Simplify 0 into 0 2.161 * [backup-simplify]: Simplify (+ 0) into 0 2.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 2.161 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0 2.162 * [taylor]: Taking taylor expansion of 0 in J 2.162 * [backup-simplify]: Simplify 0 into 0 2.162 * [backup-simplify]: Simplify 0 into 0 2.162 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2 2.162 * [backup-simplify]: Simplify -2 into -2 2.163 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 2.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 2.164 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J) 2.164 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 2.164 * [taylor]: Taking taylor expansion of 1/4 in J 2.164 * [backup-simplify]: Simplify 1/4 into 1/4 2.164 * [taylor]: Taking taylor expansion of J in J 2.164 * [backup-simplify]: Simplify 0 into 0 2.164 * [backup-simplify]: Simplify 1 into 1 2.164 * [backup-simplify]: Simplify (* 1/4 0) into 0 2.164 * [backup-simplify]: Simplify 0 into 0 2.164 * [backup-simplify]: Simplify 0 into 0 2.165 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 2.165 * [backup-simplify]: Simplify 0 into 0 2.166 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 2.166 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 2.168 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 2.168 * [taylor]: Taking taylor expansion of 0 in J 2.168 * [backup-simplify]: Simplify 0 into 0 2.168 * [backup-simplify]: Simplify 0 into 0 2.168 * [backup-simplify]: Simplify (+ (* 1/4 1) (* 0 0)) into 1/4 2.168 * [backup-simplify]: Simplify 1/4 into 1/4 2.168 * [backup-simplify]: Simplify 0 into 0 2.169 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.169 * [backup-simplify]: Simplify 0 into 0 2.170 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.172 * [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 2.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (+ (* 0 0) (* 1/384 J))))) into (* 1/384 J) 2.174 * [backup-simplify]: Simplify (+ (* -2 (* 1/384 J)) (+ (* 0 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))))) into (- (* 1/192 J)) 2.174 * [taylor]: Taking taylor expansion of (- (* 1/192 J)) in J 2.174 * [taylor]: Taking taylor expansion of (* 1/192 J) in J 2.174 * [taylor]: Taking taylor expansion of 1/192 in J 2.174 * [backup-simplify]: Simplify 1/192 into 1/192 2.174 * [taylor]: Taking taylor expansion of J in J 2.174 * [backup-simplify]: Simplify 0 into 0 2.174 * [backup-simplify]: Simplify 1 into 1 2.174 * [backup-simplify]: Simplify (* 1/192 0) into 0 2.175 * [backup-simplify]: Simplify (- 0) into 0 2.175 * [backup-simplify]: Simplify 0 into 0 2.175 * [backup-simplify]: Simplify 0 into 0 2.175 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 1) (* 0 0))) into 0 2.175 * [backup-simplify]: Simplify 0 into 0 2.175 * [backup-simplify]: Simplify 0 into 0 2.176 * [backup-simplify]: Simplify (+ (* 1/4 (* J (pow K 2))) (* -2 (* J 1))) into (- (* 1/4 (* (pow K 2) J)) (* 2 J)) 2.176 * [backup-simplify]: Simplify (* (cos (/ (/ 1 K) 2)) (* -2 (/ 1 J))) into (* -2 (/ (cos (/ 1/2 K)) J)) 2.176 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in (K J) around 0 2.176 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in J 2.176 * [taylor]: Taking taylor expansion of -2 in J 2.176 * [backup-simplify]: Simplify -2 into -2 2.176 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 2.176 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.176 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.176 * [taylor]: Taking taylor expansion of 1/2 in J 2.176 * [backup-simplify]: Simplify 1/2 into 1/2 2.176 * [taylor]: Taking taylor expansion of K in J 2.176 * [backup-simplify]: Simplify K into K 2.176 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.176 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.176 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.176 * [taylor]: Taking taylor expansion of J in J 2.176 * [backup-simplify]: Simplify 0 into 0 2.176 * [backup-simplify]: Simplify 1 into 1 2.176 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.176 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.177 * [backup-simplify]: Simplify (- 0) into 0 2.177 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.177 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.177 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in K 2.177 * [taylor]: Taking taylor expansion of -2 in K 2.177 * [backup-simplify]: Simplify -2 into -2 2.177 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 2.177 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.177 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.177 * [taylor]: Taking taylor expansion of 1/2 in K 2.177 * [backup-simplify]: Simplify 1/2 into 1/2 2.177 * [taylor]: Taking taylor expansion of K in K 2.177 * [backup-simplify]: Simplify 0 into 0 2.177 * [backup-simplify]: Simplify 1 into 1 2.177 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.177 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.177 * [taylor]: Taking taylor expansion of J in K 2.177 * [backup-simplify]: Simplify J into J 2.177 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 2.177 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in K 2.177 * [taylor]: Taking taylor expansion of -2 in K 2.177 * [backup-simplify]: Simplify -2 into -2 2.178 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 2.178 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.178 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.178 * [taylor]: Taking taylor expansion of 1/2 in K 2.178 * [backup-simplify]: Simplify 1/2 into 1/2 2.178 * [taylor]: Taking taylor expansion of K in K 2.178 * [backup-simplify]: Simplify 0 into 0 2.178 * [backup-simplify]: Simplify 1 into 1 2.178 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.178 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.178 * [taylor]: Taking taylor expansion of J in K 2.178 * [backup-simplify]: Simplify J into J 2.178 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 2.178 * [backup-simplify]: Simplify (* -2 (/ (cos (/ 1/2 K)) J)) into (* -2 (/ (cos (/ 1/2 K)) J)) 2.178 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in J 2.178 * [taylor]: Taking taylor expansion of -2 in J 2.178 * [backup-simplify]: Simplify -2 into -2 2.178 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 2.178 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.178 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.178 * [taylor]: Taking taylor expansion of 1/2 in J 2.178 * [backup-simplify]: Simplify 1/2 into 1/2 2.178 * [taylor]: Taking taylor expansion of K in J 2.178 * [backup-simplify]: Simplify K into K 2.178 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.179 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.179 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.179 * [taylor]: Taking taylor expansion of J in J 2.179 * [backup-simplify]: Simplify 0 into 0 2.179 * [backup-simplify]: Simplify 1 into 1 2.179 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.179 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.179 * [backup-simplify]: Simplify (- 0) into 0 2.179 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.179 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.179 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 2.179 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 2.179 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 2.180 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 2.180 * [taylor]: Taking taylor expansion of 0 in J 2.180 * [backup-simplify]: Simplify 0 into 0 2.180 * [backup-simplify]: Simplify (+ 0) into 0 2.180 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.180 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.181 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.181 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.182 * [backup-simplify]: Simplify (- 0) into 0 2.182 * [backup-simplify]: Simplify (+ 0 0) into 0 2.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 2.183 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 2.183 * [backup-simplify]: Simplify 0 into 0 2.183 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 2.183 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (/ (cos (/ 1/2 K)) J)))) into 0 2.183 * [taylor]: Taking taylor expansion of 0 in J 2.183 * [backup-simplify]: Simplify 0 into 0 2.183 * [backup-simplify]: Simplify 0 into 0 2.184 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.185 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.185 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.185 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.185 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.186 * [backup-simplify]: Simplify (- 0) into 0 2.186 * [backup-simplify]: Simplify (+ 0 0) into 0 2.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.187 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 2.188 * [backup-simplify]: Simplify 0 into 0 2.188 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 2.188 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0 2.189 * [taylor]: Taking taylor expansion of 0 in J 2.189 * [backup-simplify]: Simplify 0 into 0 2.189 * [backup-simplify]: Simplify 0 into 0 2.189 * [backup-simplify]: Simplify 0 into 0 2.189 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.190 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.191 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.192 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.193 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.193 * [backup-simplify]: Simplify (- 0) into 0 2.194 * [backup-simplify]: Simplify (+ 0 0) into 0 2.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.197 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 2.197 * [backup-simplify]: Simplify 0 into 0 2.197 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 (/ 1 J)) 1)) into (* -2 (* (cos (* 1/2 K)) J)) 2.197 * [backup-simplify]: Simplify (* (cos (/ (/ 1 (- K)) 2)) (* -2 (/ 1 (- J)))) into (* 2 (/ (cos (/ -1/2 K)) J)) 2.197 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in (K J) around 0 2.197 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in J 2.197 * [taylor]: Taking taylor expansion of 2 in J 2.197 * [backup-simplify]: Simplify 2 into 2 2.197 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 2.198 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.198 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.198 * [taylor]: Taking taylor expansion of -1/2 in J 2.198 * [backup-simplify]: Simplify -1/2 into -1/2 2.198 * [taylor]: Taking taylor expansion of K in J 2.198 * [backup-simplify]: Simplify K into K 2.198 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.198 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.198 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.198 * [taylor]: Taking taylor expansion of J in J 2.198 * [backup-simplify]: Simplify 0 into 0 2.198 * [backup-simplify]: Simplify 1 into 1 2.198 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.198 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.199 * [backup-simplify]: Simplify (- 0) into 0 2.199 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.199 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.199 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in K 2.199 * [taylor]: Taking taylor expansion of 2 in K 2.199 * [backup-simplify]: Simplify 2 into 2 2.199 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 2.199 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.199 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.199 * [taylor]: Taking taylor expansion of -1/2 in K 2.199 * [backup-simplify]: Simplify -1/2 into -1/2 2.199 * [taylor]: Taking taylor expansion of K in K 2.199 * [backup-simplify]: Simplify 0 into 0 2.199 * [backup-simplify]: Simplify 1 into 1 2.199 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.199 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.199 * [taylor]: Taking taylor expansion of J in K 2.200 * [backup-simplify]: Simplify J into J 2.200 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 2.200 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in K 2.200 * [taylor]: Taking taylor expansion of 2 in K 2.200 * [backup-simplify]: Simplify 2 into 2 2.200 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 2.200 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.200 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.200 * [taylor]: Taking taylor expansion of -1/2 in K 2.200 * [backup-simplify]: Simplify -1/2 into -1/2 2.200 * [taylor]: Taking taylor expansion of K in K 2.200 * [backup-simplify]: Simplify 0 into 0 2.200 * [backup-simplify]: Simplify 1 into 1 2.200 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.200 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.200 * [taylor]: Taking taylor expansion of J in K 2.200 * [backup-simplify]: Simplify J into J 2.201 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 2.201 * [backup-simplify]: Simplify (* 2 (/ (cos (/ -1/2 K)) J)) into (* 2 (/ (cos (/ -1/2 K)) J)) 2.201 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in J 2.201 * [taylor]: Taking taylor expansion of 2 in J 2.201 * [backup-simplify]: Simplify 2 into 2 2.201 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 2.201 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.201 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.201 * [taylor]: Taking taylor expansion of -1/2 in J 2.201 * [backup-simplify]: Simplify -1/2 into -1/2 2.201 * [taylor]: Taking taylor expansion of K in J 2.201 * [backup-simplify]: Simplify K into K 2.201 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.201 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.201 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.201 * [taylor]: Taking taylor expansion of J in J 2.201 * [backup-simplify]: Simplify 0 into 0 2.201 * [backup-simplify]: Simplify 1 into 1 2.201 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.201 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.202 * [backup-simplify]: Simplify (- 0) into 0 2.202 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.202 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.202 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 2.202 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 2.202 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 2.203 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (cos (/ -1/2 K)) J))) into 0 2.203 * [taylor]: Taking taylor expansion of 0 in J 2.203 * [backup-simplify]: Simplify 0 into 0 2.203 * [backup-simplify]: Simplify (+ 0) into 0 2.204 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.204 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.205 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.205 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.206 * [backup-simplify]: Simplify (- 0) into 0 2.206 * [backup-simplify]: Simplify (+ 0 0) into 0 2.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 2.207 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 2.207 * [backup-simplify]: Simplify 0 into 0 2.207 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 2.208 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J)))) into 0 2.208 * [taylor]: Taking taylor expansion of 0 in J 2.208 * [backup-simplify]: Simplify 0 into 0 2.209 * [backup-simplify]: Simplify 0 into 0 2.209 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.210 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.210 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.211 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.211 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.212 * [backup-simplify]: Simplify (- 0) into 0 2.212 * [backup-simplify]: Simplify (+ 0 0) into 0 2.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.214 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 2.214 * [backup-simplify]: Simplify 0 into 0 2.215 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 2.216 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J))))) into 0 2.216 * [taylor]: Taking taylor expansion of 0 in J 2.216 * [backup-simplify]: Simplify 0 into 0 2.216 * [backup-simplify]: Simplify 0 into 0 2.216 * [backup-simplify]: Simplify 0 into 0 2.217 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.218 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.218 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.219 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.220 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.220 * [backup-simplify]: Simplify (- 0) into 0 2.220 * [backup-simplify]: Simplify (+ 0 0) into 0 2.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.223 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 2.223 * [backup-simplify]: Simplify 0 into 0 2.224 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (/ 1 (- J))) 1)) into (* -2 (* (cos (* 1/2 K)) J)) 2.224 * * * [progress]: simplifying candidates 2.224 * * * * [progress]: [ 1 / 137 ] simplifiying candidate # 2.224 * * * * [progress]: [ 2 / 137 ] simplifiying candidate # 2.224 * * * * [progress]: [ 3 / 137 ] simplifiying candidate # 2.224 * * * * [progress]: [ 4 / 137 ] simplifiying candidate # 2.224 * * * * [progress]: [ 5 / 137 ] simplifiying candidate # 2.224 * * * * [progress]: [ 6 / 137 ] simplifiying candidate # 2.224 * * * * [progress]: [ 7 / 137 ] simplifiying candidate # 2.224 * * * * [progress]: [ 8 / 137 ] simplifiying candidate # 2.224 * * * * [progress]: [ 9 / 137 ] simplifiying candidate # 2.224 * * * * [progress]: [ 10 / 137 ] simplifiying candidate # 2.224 * * * * [progress]: [ 11 / 137 ] simplifiying candidate # 2.224 * * * * [progress]: [ 12 / 137 ] simplifiying candidate # 2.225 * * * * [progress]: [ 13 / 137 ] simplifiying candidate # 2.225 * * * * [progress]: [ 14 / 137 ] simplifiying candidate # 2.225 * * * * [progress]: [ 15 / 137 ] simplifiying candidate # 2.225 * * * * [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))))> 2.225 * * * * [progress]: [ 17 / 137 ] simplifiying candidate # 2.225 * * * * [progress]: [ 18 / 137 ] simplifiying candidate # 2.225 * * * * [progress]: [ 19 / 137 ] simplifiying candidate # 2.225 * * * * [progress]: [ 20 / 137 ] simplifiying candidate # 2.225 * * * * [progress]: [ 21 / 137 ] simplifiying candidate # 2.225 * * * * [progress]: [ 22 / 137 ] simplifiying candidate # 2.225 * * * * [progress]: [ 23 / 137 ] simplifiying candidate # 2.225 * * * * [progress]: [ 24 / 137 ] simplifiying candidate # 2.225 * * * * [progress]: [ 25 / 137 ] simplifiying candidate # 2.225 * * * * [progress]: [ 26 / 137 ] simplifiying candidate # 2.225 * * * * [progress]: [ 27 / 137 ] simplifiying candidate # 2.225 * * * * [progress]: [ 28 / 137 ] simplifiying candidate # 2.226 * * * * [progress]: [ 29 / 137 ] simplifiying candidate # 2.226 * * * * [progress]: [ 30 / 137 ] simplifiying candidate # 2.226 * * * * [progress]: [ 31 / 137 ] simplifiying candidate # 2.226 * * * * [progress]: [ 32 / 137 ] simplifiying candidate # 2.226 * * * * [progress]: [ 33 / 137 ] simplifiying candidate # 2.226 * * * * [progress]: [ 34 / 137 ] simplifiying candidate # 2.226 * * * * [progress]: [ 35 / 137 ] simplifiying candidate # 2.226 * * * * [progress]: [ 36 / 137 ] simplifiying candidate # 2.226 * * * * [progress]: [ 37 / 137 ] simplifiying candidate # 2.226 * * * * [progress]: [ 38 / 137 ] simplifiying candidate # 2.226 * * * * [progress]: [ 39 / 137 ] simplifiying candidate # 2.226 * * * * [progress]: [ 40 / 137 ] simplifiying candidate # 2.226 * * * * [progress]: [ 41 / 137 ] simplifiying candidate # 2.226 * * * * [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))))))> 2.227 * * * * [progress]: [ 43 / 137 ] simplifiying candidate # 2.227 * * * * [progress]: [ 44 / 137 ] simplifiying candidate # 2.227 * * * * [progress]: [ 45 / 137 ] simplifiying candidate # 2.227 * * * * [progress]: [ 46 / 137 ] simplifiying candidate # 2.227 * * * * [progress]: [ 47 / 137 ] simplifiying candidate # 2.227 * * * * [progress]: [ 48 / 137 ] simplifiying candidate # 2.227 * * * * [progress]: [ 49 / 137 ] simplifiying candidate # 2.227 * * * * [progress]: [ 50 / 137 ] simplifiying candidate # 2.227 * * * * [progress]: [ 51 / 137 ] simplifiying candidate # 2.227 * * * * [progress]: [ 52 / 137 ] simplifiying candidate # 2.227 * * * * [progress]: [ 53 / 137 ] simplifiying candidate # 2.227 * * * * [progress]: [ 54 / 137 ] simplifiying candidate # 2.227 * * * * [progress]: [ 55 / 137 ] simplifiying candidate # 2.227 * * * * [progress]: [ 56 / 137 ] simplifiying candidate # 2.227 * * * * [progress]: [ 57 / 137 ] simplifiying candidate # 2.227 * * * * [progress]: [ 58 / 137 ] simplifiying candidate # 2.228 * * * * [progress]: [ 59 / 137 ] simplifiying candidate # 2.228 * * * * [progress]: [ 60 / 137 ] simplifiying candidate # 2.228 * * * * [progress]: [ 61 / 137 ] simplifiying candidate # 2.228 * * * * [progress]: [ 62 / 137 ] simplifiying candidate # 2.228 * * * * [progress]: [ 63 / 137 ] simplifiying candidate # 2.228 * * * * [progress]: [ 64 / 137 ] simplifiying candidate # 2.228 * * * * [progress]: [ 65 / 137 ] simplifiying candidate # 2.228 * * * * [progress]: [ 66 / 137 ] simplifiying candidate # 2.228 * * * * [progress]: [ 67 / 137 ] simplifiying candidate # 2.228 * * * * [progress]: [ 68 / 137 ] simplifiying candidate # 2.228 * * * * [progress]: [ 69 / 137 ] simplifiying candidate # 2.228 * * * * [progress]: [ 70 / 137 ] simplifiying candidate # 2.228 * * * * [progress]: [ 71 / 137 ] simplifiying candidate # 2.229 * * * * [progress]: [ 72 / 137 ] simplifiying candidate # 2.229 * * * * [progress]: [ 73 / 137 ] simplifiying candidate # 2.229 * * * * [progress]: [ 74 / 137 ] simplifiying candidate # 2.229 * * * * [progress]: [ 75 / 137 ] simplifiying candidate # 2.229 * * * * [progress]: [ 76 / 137 ] simplifiying candidate # 2.229 * * * * [progress]: [ 77 / 137 ] simplifiying candidate # 2.229 * * * * [progress]: [ 78 / 137 ] simplifiying candidate # 2.229 * * * * [progress]: [ 79 / 137 ] simplifiying candidate # 2.229 * * * * [progress]: [ 80 / 137 ] simplifiying candidate # 2.229 * * * * [progress]: [ 81 / 137 ] simplifiying candidate # 2.229 * * * * [progress]: [ 82 / 137 ] simplifiying candidate # 2.229 * * * * [progress]: [ 83 / 137 ] simplifiying candidate # 2.229 * * * * [progress]: [ 84 / 137 ] simplifiying candidate # 2.229 * * * * [progress]: [ 85 / 137 ] simplifiying candidate # 2.229 * * * * [progress]: [ 86 / 137 ] simplifiying candidate # 2.229 * * * * [progress]: [ 87 / 137 ] simplifiying candidate # 2.229 * * * * [progress]: [ 88 / 137 ] simplifiying candidate # 2.229 * * * * [progress]: [ 89 / 137 ] simplifiying candidate # 2.229 * * * * [progress]: [ 90 / 137 ] simplifiying candidate # 2.229 * * * * [progress]: [ 91 / 137 ] simplifiying candidate # 2.230 * * * * [progress]: [ 92 / 137 ] simplifiying candidate # 2.230 * * * * [progress]: [ 93 / 137 ] simplifiying candidate # 2.230 * * * * [progress]: [ 94 / 137 ] simplifiying candidate # 2.230 * * * * [progress]: [ 95 / 137 ] simplifiying candidate # 2.230 * * * * [progress]: [ 96 / 137 ] simplifiying candidate # 2.230 * * * * [progress]: [ 97 / 137 ] simplifiying candidate # 2.230 * * * * [progress]: [ 98 / 137 ] simplifiying candidate # 2.230 * * * * [progress]: [ 99 / 137 ] simplifiying candidate # 2.230 * * * * [progress]: [ 100 / 137 ] simplifiying candidate # 2.230 * * * * [progress]: [ 101 / 137 ] simplifiying candidate # 2.230 * * * * [progress]: [ 102 / 137 ] simplifiying candidate # 2.230 * * * * [progress]: [ 103 / 137 ] simplifiying candidate # 2.230 * * * * [progress]: [ 104 / 137 ] simplifiying candidate # 2.230 * * * * [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))))> 2.230 * * * * [progress]: [ 106 / 137 ] simplifiying candidate # 2.230 * * * * [progress]: [ 107 / 137 ] simplifiying candidate # 2.230 * * * * [progress]: [ 108 / 137 ] simplifiying candidate # 2.230 * * * * [progress]: [ 109 / 137 ] simplifiying candidate # 2.230 * * * * [progress]: [ 110 / 137 ] simplifiying candidate # 2.230 * * * * [progress]: [ 111 / 137 ] simplifiying candidate # 2.230 * * * * [progress]: [ 112 / 137 ] simplifiying candidate # 2.230 * * * * [progress]: [ 113 / 137 ] simplifiying candidate # 2.230 * * * * [progress]: [ 114 / 137 ] simplifiying candidate # 2.231 * * * * [progress]: [ 115 / 137 ] simplifiying candidate # 2.231 * * * * [progress]: [ 116 / 137 ] simplifiying candidate # 2.231 * * * * [progress]: [ 117 / 137 ] simplifiying candidate # 2.231 * * * * [progress]: [ 118 / 137 ] simplifiying candidate # 2.231 * * * * [progress]: [ 119 / 137 ] simplifiying candidate # 2.231 * * * * [progress]: [ 120 / 137 ] simplifiying candidate # 2.231 * * * * [progress]: [ 121 / 137 ] simplifiying candidate # 2.231 * * * * [progress]: [ 122 / 137 ] simplifiying candidate # 2.231 * * * * [progress]: [ 123 / 137 ] simplifiying candidate # 2.231 * * * * [progress]: [ 124 / 137 ] simplifiying candidate #real (real->posit16 (* (cos (/ K 2)) (* -2 J))))))> 2.231 * * * * [progress]: [ 125 / 137 ] simplifiying candidate # 2.231 * * * * [progress]: [ 126 / 137 ] simplifiying candidate # 2.231 * * * * [progress]: [ 127 / 137 ] simplifiying candidate # 2.231 * * * * [progress]: [ 128 / 137 ] simplifiying candidate # 2.231 * * * * [progress]: [ 129 / 137 ] simplifiying candidate # 2.231 * * * * [progress]: [ 130 / 137 ] simplifiying candidate # 2.231 * * * * [progress]: [ 131 / 137 ] simplifiying candidate # 2.231 * * * * [progress]: [ 132 / 137 ] simplifiying candidate # 2.231 * * * * [progress]: [ 133 / 137 ] simplifiying candidate # 2.231 * * * * [progress]: [ 134 / 137 ] simplifiying candidate # 2.231 * * * * [progress]: [ 135 / 137 ] simplifiying candidate # 2.231 * * * * [progress]: [ 136 / 137 ] simplifiying candidate # 2.231 * * * * [progress]: [ 137 / 137 ] simplifiying candidate # 2.233 * [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 (+ (* (/ 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(cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))))) 1)) (* -2 (cos (/ K 2)))) J), (* (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)) (* -2 (* (cos (/ K 2)) J))), (real->posit16 (* (sqrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))))) (* -2 (* (cos (/ K 2)) J)))), 2, (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))), 2, (+ (log (/ (/ U (+ J J)) (cos (/ K 2)))) (log (/ (/ U (+ J J)) (cos (/ K 2))))), (+ (log (/ (/ U (+ J J)) (cos (/ K 2)))) (log (/ (/ U (+ J J)) (cos (/ K 2))))), (+ (log (/ (/ U (+ J J)) (cos (/ K 2)))) (log (/ (/ U (+ J J)) (cos (/ K 2))))), (+ (log (/ (/ U (+ J J)) (cos (/ K 2)))) (log (/ (/ U (+ J J)) (cos (/ K 2))))), (+ (log (/ (/ U (+ J J)) (cos (/ K 2)))) (log (/ (/ U (+ J J)) (cos (/ K 2))))), (+ (log (/ (/ U (+ J J)) (cos (/ K 2)))) (log (/ (/ U (+ J J)) (cos (/ K 2))))), (+ (log (/ (/ U (+ J J)) (cos (/ K 2)))) (log (/ (/ U (+ J J)) (cos (/ K 2))))), (+ (log (/ (/ U (+ J J)) (cos (/ K 2)))) (log (/ (/ U (+ J J)) (cos (/ K 2))))), (+ (log (/ (/ U (+ J J)) (cos (/ K 2)))) (log (/ (/ U (+ J J)) (cos (/ K 2))))), (+ (log (/ (/ U (+ J J)) (cos (/ K 2)))) (log (/ (/ U (+ J J)) (cos (/ K 2))))), (exp (* (/ (/ 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)))))), (* (* (/ (/ 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 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(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) 3.323 * * * [progress]: adding candidates to table 5.240 * * [progress]: iteration 2 / 4 5.240 * * * [progress]: picking best candidate 5.316 * * * * [pick]: Picked # 5.316 * * * [progress]: localizing error 5.363 * * * [progress]: generating rewritten candidates 5.363 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 5.447 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 5.672 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 5.765 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 2 2) 5.790 * * * [progress]: generating series expansions 5.790 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 5.790 * [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)) 5.790 * [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 5.790 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 5.791 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 5.791 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 5.791 * [taylor]: Taking taylor expansion of 1/4 in K 5.791 * [backup-simplify]: Simplify 1/4 into 1/4 5.791 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 5.791 * [taylor]: Taking taylor expansion of (pow U 2) in K 5.791 * [taylor]: Taking taylor expansion of U in K 5.791 * [backup-simplify]: Simplify U into U 5.791 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 5.791 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 5.791 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 5.791 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 5.791 * [taylor]: Taking taylor expansion of 1/2 in K 5.791 * [backup-simplify]: Simplify 1/2 into 1/2 5.791 * [taylor]: Taking taylor expansion of K in K 5.791 * [backup-simplify]: Simplify 0 into 0 5.791 * [backup-simplify]: Simplify 1 into 1 5.792 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.793 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.793 * [taylor]: Taking taylor expansion of (pow J 2) in K 5.793 * [taylor]: Taking taylor expansion of J in K 5.793 * [backup-simplify]: Simplify J into J 5.793 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.793 * [backup-simplify]: Simplify (* 1 1) into 1 5.793 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.794 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 5.794 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 5.794 * [taylor]: Taking taylor expansion of 1 in K 5.794 * [backup-simplify]: Simplify 1 into 1 5.794 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 5.794 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 5.794 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 5.795 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 5.795 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.795 * [backup-simplify]: Simplify (+ 0) into 0 5.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 5.797 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 5.797 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 5.798 * [backup-simplify]: Simplify (+ 0 0) into 0 5.798 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 5.798 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 5.798 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 5.798 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 5.798 * [taylor]: Taking taylor expansion of 1/4 in J 5.798 * [backup-simplify]: Simplify 1/4 into 1/4 5.798 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 5.798 * [taylor]: Taking taylor expansion of (pow U 2) in J 5.798 * [taylor]: Taking taylor expansion of U in J 5.798 * [backup-simplify]: Simplify U into U 5.798 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 5.798 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 5.798 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 5.798 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 5.798 * [taylor]: Taking taylor expansion of 1/2 in J 5.798 * [backup-simplify]: Simplify 1/2 into 1/2 5.798 * [taylor]: Taking taylor expansion of K in J 5.798 * [backup-simplify]: Simplify K into K 5.798 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.799 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.799 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.799 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.799 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.799 * [backup-simplify]: Simplify (- 0) into 0 5.799 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.799 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.799 * [taylor]: Taking taylor expansion of J in J 5.799 * [backup-simplify]: Simplify 0 into 0 5.799 * [backup-simplify]: Simplify 1 into 1 5.799 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.800 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 5.800 * [backup-simplify]: Simplify (* 1 1) into 1 5.800 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 5.800 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 5.800 * [taylor]: Taking taylor expansion of 1 in J 5.800 * [backup-simplify]: Simplify 1 into 1 5.801 * [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))) 5.801 * [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))) 5.801 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 5.801 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 5.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.802 * [backup-simplify]: Simplify (+ 0) into 0 5.803 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 5.804 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 5.804 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.805 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 5.806 * [backup-simplify]: Simplify (- 0) into 0 5.806 * [backup-simplify]: Simplify (+ 0 0) into 0 5.806 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 5.807 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 5.807 * [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 5.808 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 5.808 * [backup-simplify]: Simplify (+ 0 0) into 0 5.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 5.809 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 5.809 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 5.809 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 5.809 * [taylor]: Taking taylor expansion of 1/4 in U 5.809 * [backup-simplify]: Simplify 1/4 into 1/4 5.809 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 5.809 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.809 * [taylor]: Taking taylor expansion of U in U 5.809 * [backup-simplify]: Simplify 0 into 0 5.809 * [backup-simplify]: Simplify 1 into 1 5.809 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 5.809 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 5.809 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 5.809 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 5.809 * [taylor]: Taking taylor expansion of 1/2 in U 5.809 * [backup-simplify]: Simplify 1/2 into 1/2 5.809 * [taylor]: Taking taylor expansion of K in U 5.809 * [backup-simplify]: Simplify K into K 5.809 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.809 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.809 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.809 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.809 * [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 U 5.810 * [taylor]: Taking taylor expansion of J in U 5.810 * [backup-simplify]: Simplify J into J 5.810 * [backup-simplify]: Simplify (* 1 1) into 1 5.811 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 5.811 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.811 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 5.811 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 5.811 * [taylor]: Taking taylor expansion of 1 in U 5.811 * [backup-simplify]: Simplify 1 into 1 5.812 * [backup-simplify]: Simplify (+ 0 1) into 1 5.812 * [backup-simplify]: Simplify (sqrt 1) into 1 5.812 * [backup-simplify]: Simplify (+ 0 0) into 0 5.813 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.813 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 5.813 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 5.813 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 5.813 * [taylor]: Taking taylor expansion of 1/4 in U 5.813 * [backup-simplify]: Simplify 1/4 into 1/4 5.813 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 5.813 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.814 * [taylor]: Taking taylor expansion of U in U 5.814 * [backup-simplify]: Simplify 0 into 0 5.814 * [backup-simplify]: Simplify 1 into 1 5.814 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 5.814 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 5.814 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 5.814 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 5.814 * [taylor]: Taking taylor expansion of 1/2 in U 5.814 * [backup-simplify]: Simplify 1/2 into 1/2 5.814 * [taylor]: Taking taylor expansion of K in U 5.814 * [backup-simplify]: Simplify K into K 5.814 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.814 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.814 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.814 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.814 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.815 * [backup-simplify]: Simplify (- 0) into 0 5.815 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.815 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.815 * [taylor]: Taking taylor expansion of J in U 5.815 * [backup-simplify]: Simplify J into J 5.815 * [backup-simplify]: Simplify (* 1 1) into 1 5.815 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 5.815 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.816 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 5.816 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 5.816 * [taylor]: Taking taylor expansion of 1 in U 5.816 * [backup-simplify]: Simplify 1 into 1 5.816 * [backup-simplify]: Simplify (+ 0 1) into 1 5.817 * [backup-simplify]: Simplify (sqrt 1) into 1 5.817 * [backup-simplify]: Simplify (+ 0 0) into 0 5.818 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.818 * [taylor]: Taking taylor expansion of 1 in J 5.818 * [backup-simplify]: Simplify 1 into 1 5.818 * [taylor]: Taking taylor expansion of 0 in J 5.818 * [backup-simplify]: Simplify 0 into 0 5.818 * [taylor]: Taking taylor expansion of 1 in K 5.818 * [backup-simplify]: Simplify 1 into 1 5.818 * [backup-simplify]: Simplify 1 into 1 5.818 * [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))) 5.819 * [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)))) 5.820 * [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))) 5.820 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 5.820 * [taylor]: Taking taylor expansion of 1/8 in J 5.820 * [backup-simplify]: Simplify 1/8 into 1/8 5.820 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 5.820 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 5.820 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 5.820 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 5.820 * [taylor]: Taking taylor expansion of 1/2 in J 5.820 * [backup-simplify]: Simplify 1/2 into 1/2 5.820 * [taylor]: Taking taylor expansion of K in J 5.820 * [backup-simplify]: Simplify K into K 5.820 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.820 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.820 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.820 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.821 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.821 * [backup-simplify]: Simplify (- 0) into 0 5.821 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.821 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.821 * [taylor]: Taking taylor expansion of J in J 5.821 * [backup-simplify]: Simplify 0 into 0 5.821 * [backup-simplify]: Simplify 1 into 1 5.821 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 5.822 * [backup-simplify]: Simplify (* 1 1) into 1 5.822 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 5.822 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 5.822 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.823 * [backup-simplify]: Simplify (+ 0) into 0 5.823 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 5.824 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 5.824 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.825 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 5.825 * [backup-simplify]: Simplify (- 0) into 0 5.826 * [backup-simplify]: Simplify (+ 0 0) into 0 5.826 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 5.826 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 5.827 * [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 5.827 * [taylor]: Taking taylor expansion of 0 in K 5.827 * [backup-simplify]: Simplify 0 into 0 5.827 * [backup-simplify]: Simplify 0 into 0 5.827 * [taylor]: Taking taylor expansion of 0 in K 5.827 * [backup-simplify]: Simplify 0 into 0 5.827 * [backup-simplify]: Simplify 0 into 0 5.827 * [taylor]: Taking taylor expansion of 0 in K 5.827 * [backup-simplify]: Simplify 0 into 0 5.827 * [backup-simplify]: Simplify 0 into 0 5.827 * [backup-simplify]: Simplify 0 into 0 5.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.828 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.828 * [backup-simplify]: Simplify (+ 0) into 0 5.829 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 5.829 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 5.830 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.831 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 5.831 * [backup-simplify]: Simplify (- 0) into 0 5.831 * [backup-simplify]: Simplify (+ 0 0) into 0 5.832 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 5.832 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 5.832 * [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 5.833 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 5.833 * [backup-simplify]: Simplify (+ 0 0) into 0 5.834 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 5.834 * [taylor]: Taking taylor expansion of 0 in J 5.834 * [backup-simplify]: Simplify 0 into 0 5.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.836 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.837 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 5.838 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 5.839 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.840 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 5.840 * [backup-simplify]: Simplify (- 0) into 0 5.840 * [backup-simplify]: Simplify (+ 0 0) into 0 5.841 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 5.842 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 5.842 * [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 5.842 * [taylor]: Taking taylor expansion of 0 in K 5.842 * [backup-simplify]: Simplify 0 into 0 5.842 * [backup-simplify]: Simplify 0 into 0 5.842 * [taylor]: Taking taylor expansion of 0 in K 5.842 * [backup-simplify]: Simplify 0 into 0 5.842 * [backup-simplify]: Simplify 0 into 0 5.842 * [backup-simplify]: Simplify 1 into 1 5.843 * [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)) 5.843 * [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 5.843 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 5.843 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 5.843 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 5.843 * [taylor]: Taking taylor expansion of 1/4 in K 5.843 * [backup-simplify]: Simplify 1/4 into 1/4 5.843 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 5.843 * [taylor]: Taking taylor expansion of (pow J 2) in K 5.843 * [taylor]: Taking taylor expansion of J in K 5.843 * [backup-simplify]: Simplify J into J 5.844 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 5.844 * [taylor]: Taking taylor expansion of (pow U 2) in K 5.844 * [taylor]: Taking taylor expansion of U in K 5.844 * [backup-simplify]: Simplify U into U 5.844 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 5.844 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 5.844 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 5.844 * [taylor]: Taking taylor expansion of 1/2 in K 5.844 * [backup-simplify]: Simplify 1/2 into 1/2 5.844 * [taylor]: Taking taylor expansion of K in K 5.844 * [backup-simplify]: Simplify 0 into 0 5.844 * [backup-simplify]: Simplify 1 into 1 5.844 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.844 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.845 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.845 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.845 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 5.845 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 5.846 * [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))) 5.846 * [taylor]: Taking taylor expansion of 1 in K 5.846 * [backup-simplify]: Simplify 1 into 1 5.846 * [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)))) 5.846 * [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) 5.847 * [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)) 5.847 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.847 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 5.847 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 5.848 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 5.848 * [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 5.849 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 5.850 * [backup-simplify]: Simplify (+ 0 0) into 0 5.850 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 5.850 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 5.850 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 5.850 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 5.850 * [taylor]: Taking taylor expansion of 1/4 in J 5.850 * [backup-simplify]: Simplify 1/4 into 1/4 5.850 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 5.850 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.850 * [taylor]: Taking taylor expansion of J in J 5.850 * [backup-simplify]: Simplify 0 into 0 5.850 * [backup-simplify]: Simplify 1 into 1 5.850 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 5.850 * [taylor]: Taking taylor expansion of (pow U 2) in J 5.850 * [taylor]: Taking taylor expansion of U in J 5.850 * [backup-simplify]: Simplify U into U 5.851 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 5.851 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 5.851 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 5.851 * [taylor]: Taking taylor expansion of 1/2 in J 5.851 * [backup-simplify]: Simplify 1/2 into 1/2 5.851 * [taylor]: Taking taylor expansion of K in J 5.851 * [backup-simplify]: Simplify K into K 5.851 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.851 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.851 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.851 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.851 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.851 * [backup-simplify]: Simplify (- 0) into 0 5.852 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.852 * [backup-simplify]: Simplify (* 1 1) into 1 5.852 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.852 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 5.852 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 5.853 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 5.853 * [taylor]: Taking taylor expansion of 1 in J 5.853 * [backup-simplify]: Simplify 1 into 1 5.853 * [backup-simplify]: Simplify (+ 0 1) into 1 5.853 * [backup-simplify]: Simplify (sqrt 1) into 1 5.854 * [backup-simplify]: Simplify (+ 0 0) into 0 5.855 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.855 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 5.855 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 5.855 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 5.855 * [taylor]: Taking taylor expansion of 1/4 in U 5.855 * [backup-simplify]: Simplify 1/4 into 1/4 5.855 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 5.855 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.855 * [taylor]: Taking taylor expansion of J in U 5.855 * [backup-simplify]: Simplify J into J 5.855 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 5.855 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.855 * [taylor]: Taking taylor expansion of U in U 5.855 * [backup-simplify]: Simplify 0 into 0 5.855 * [backup-simplify]: Simplify 1 into 1 5.855 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 5.855 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 5.855 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 5.855 * [taylor]: Taking taylor expansion of 1/2 in U 5.855 * [backup-simplify]: Simplify 1/2 into 1/2 5.855 * [taylor]: Taking taylor expansion of K in U 5.855 * [backup-simplify]: Simplify K into K 5.855 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.855 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.855 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.856 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.856 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.856 * [backup-simplify]: Simplify (- 0) into 0 5.856 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.856 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.857 * [backup-simplify]: Simplify (* 1 1) into 1 5.857 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 5.857 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 5.857 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 5.857 * [taylor]: Taking taylor expansion of 1 in U 5.857 * [backup-simplify]: Simplify 1 into 1 5.857 * [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))) 5.857 * [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))) 5.858 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 5.858 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.858 * [backup-simplify]: Simplify (+ 0) into 0 5.858 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 5.858 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 5.859 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.859 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 5.859 * [backup-simplify]: Simplify (- 0) into 0 5.860 * [backup-simplify]: Simplify (+ 0 0) into 0 5.860 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 5.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 5.861 * [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 5.861 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 5.861 * [backup-simplify]: Simplify (+ 0 0) into 0 5.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 5.862 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 5.862 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 5.862 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 5.862 * [taylor]: Taking taylor expansion of 1/4 in U 5.862 * [backup-simplify]: Simplify 1/4 into 1/4 5.862 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 5.862 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.862 * [taylor]: Taking taylor expansion of J in U 5.862 * [backup-simplify]: Simplify J into J 5.862 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 5.862 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.862 * [taylor]: Taking taylor expansion of U in U 5.862 * [backup-simplify]: Simplify 0 into 0 5.862 * [backup-simplify]: Simplify 1 into 1 5.862 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 5.862 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 5.862 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 5.862 * [taylor]: Taking taylor expansion of 1/2 in U 5.862 * [backup-simplify]: Simplify 1/2 into 1/2 5.862 * [taylor]: Taking taylor expansion of K in U 5.862 * [backup-simplify]: Simplify K into K 5.862 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.862 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.862 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.862 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.862 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.862 * [backup-simplify]: Simplify (- 0) into 0 5.863 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.863 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.863 * [backup-simplify]: Simplify (* 1 1) into 1 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 (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 5.863 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 5.863 * [taylor]: Taking taylor expansion of 1 in U 5.863 * [backup-simplify]: Simplify 1 into 1 5.863 * [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))) 5.863 * [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))) 5.864 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 5.864 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.864 * [backup-simplify]: Simplify (+ 0) into 0 5.864 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 5.864 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 5.865 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.865 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 5.866 * [backup-simplify]: Simplify (- 0) into 0 5.866 * [backup-simplify]: Simplify (+ 0 0) into 0 5.866 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 5.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.867 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 5.867 * [backup-simplify]: 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 5.867 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 5.867 * [backup-simplify]: Simplify (+ 0 0) into 0 5.868 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 5.868 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 5.868 * [taylor]: Taking taylor expansion of 1/2 in J 5.868 * [backup-simplify]: Simplify 1/2 into 1/2 5.868 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 5.868 * [taylor]: Taking taylor expansion of J in J 5.868 * [backup-simplify]: Simplify 0 into 0 5.868 * [backup-simplify]: Simplify 1 into 1 5.868 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 5.868 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 5.868 * [taylor]: Taking taylor expansion of 1/2 in J 5.868 * [backup-simplify]: Simplify 1/2 into 1/2 5.868 * [taylor]: Taking taylor expansion of K in J 5.868 * [backup-simplify]: Simplify K into K 5.868 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.868 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.868 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.868 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.868 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.868 * [backup-simplify]: Simplify (- 0) into 0 5.868 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.869 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 5.869 * [taylor]: Taking taylor expansion of 0 in J 5.869 * [backup-simplify]: Simplify 0 into 0 5.869 * [taylor]: Taking taylor expansion of 0 in K 5.869 * [backup-simplify]: Simplify 0 into 0 5.869 * [backup-simplify]: Simplify 0 into 0 5.869 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 5.869 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 5.869 * [taylor]: Taking taylor expansion of 1/2 in K 5.869 * [backup-simplify]: Simplify 1/2 into 1/2 5.869 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 5.869 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 5.869 * [taylor]: Taking taylor expansion of 1/2 in K 5.869 * [backup-simplify]: Simplify 1/2 into 1/2 5.869 * [taylor]: Taking taylor expansion of K in K 5.869 * [backup-simplify]: Simplify 0 into 0 5.869 * [backup-simplify]: Simplify 1 into 1 5.869 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.869 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.869 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 5.869 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 5.870 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 5.870 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.871 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 5.871 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 5.871 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.872 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 5.872 * [backup-simplify]: Simplify (- 0) into 0 5.872 * [backup-simplify]: Simplify (+ 0 0) into 0 5.872 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 5.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 5.874 * [backup-simplify]: 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 5.874 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 5.875 * [backup-simplify]: Simplify (+ 0 1) into 1 5.875 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 5.875 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 5.875 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 5.875 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 5.875 * [taylor]: Taking taylor expansion of 1/2 in J 5.875 * [backup-simplify]: Simplify 1/2 into 1/2 5.875 * [taylor]: Taking taylor expansion of K in J 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 * [taylor]: Taking taylor expansion of J in J 5.875 * [backup-simplify]: Simplify 0 into 0 5.876 * [backup-simplify]: Simplify 1 into 1 5.876 * [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 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.876 * [backup-simplify]: Simplify (+ 0) into 0 5.877 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 5.877 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 5.877 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.877 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 5.878 * [backup-simplify]: Simplify (- 0) into 0 5.878 * [backup-simplify]: Simplify (+ 0 0) into 0 5.878 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 5.878 * [taylor]: Taking taylor expansion of 0 in K 5.879 * [backup-simplify]: Simplify 0 into 0 5.879 * [backup-simplify]: Simplify 0 into 0 5.879 * [taylor]: Taking taylor expansion of 0 in K 5.879 * [backup-simplify]: Simplify 0 into 0 5.879 * [backup-simplify]: Simplify 0 into 0 5.879 * [backup-simplify]: Simplify (+ 0) into 0 5.879 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 5.879 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 5.880 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.880 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 5.880 * [backup-simplify]: Simplify (- 0) into 0 5.881 * [backup-simplify]: Simplify (+ 0 0) into 0 5.881 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 5.881 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 5.881 * [taylor]: Taking taylor expansion of 0 in K 5.881 * [backup-simplify]: Simplify 0 into 0 5.881 * [backup-simplify]: Simplify 0 into 0 5.881 * [backup-simplify]: Simplify 0 into 0 5.881 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 5.881 * [backup-simplify]: Simplify 0 into 0 5.882 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 5.882 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.883 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.883 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 5.884 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 5.884 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 5.885 * [backup-simplify]: Simplify (- 0) into 0 5.885 * [backup-simplify]: Simplify (+ 0 0) into 0 5.885 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 5.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 5.887 * [backup-simplify]: 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 5.888 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 5.888 * [backup-simplify]: Simplify (+ 0 0) into 0 5.888 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 5.888 * [taylor]: Taking taylor expansion of 0 in J 5.888 * [backup-simplify]: Simplify 0 into 0 5.888 * [taylor]: Taking taylor expansion of 0 in K 5.889 * [backup-simplify]: Simplify 0 into 0 5.889 * [backup-simplify]: Simplify 0 into 0 5.889 * [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))) 5.889 * [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)))))) 5.889 * [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 5.890 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 5.890 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 5.890 * [taylor]: Taking taylor expansion of 1 in K 5.890 * [backup-simplify]: Simplify 1 into 1 5.890 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 5.890 * [taylor]: Taking taylor expansion of 1/4 in K 5.890 * [backup-simplify]: Simplify 1/4 into 1/4 5.890 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 5.890 * [taylor]: Taking taylor expansion of (pow J 2) in K 5.890 * [taylor]: Taking taylor expansion of J in K 5.890 * [backup-simplify]: Simplify J into J 5.890 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 5.890 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 5.890 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 5.890 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 5.890 * [taylor]: Taking taylor expansion of -1/2 in K 5.890 * [backup-simplify]: Simplify -1/2 into -1/2 5.890 * [taylor]: Taking taylor expansion of K in K 5.890 * [backup-simplify]: Simplify 0 into 0 5.890 * [backup-simplify]: Simplify 1 into 1 5.891 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.891 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.891 * [taylor]: Taking taylor expansion of (pow U 2) in K 5.891 * [taylor]: Taking taylor expansion of U in K 5.891 * [backup-simplify]: Simplify U into U 5.891 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.891 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 5.891 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.891 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 5.891 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 5.892 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 5.892 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 5.892 * [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)))))) 5.893 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.893 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 5.893 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 5.893 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 5.894 * [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 5.894 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 5.895 * [backup-simplify]: Simplify (+ 0 0) into 0 5.895 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 5.895 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 5.895 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 5.895 * [taylor]: Taking taylor expansion of 1 in J 5.896 * [backup-simplify]: Simplify 1 into 1 5.896 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 5.896 * [taylor]: Taking taylor expansion of 1/4 in J 5.896 * [backup-simplify]: Simplify 1/4 into 1/4 5.896 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 5.896 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.896 * [taylor]: Taking taylor expansion of J in J 5.896 * [backup-simplify]: Simplify 0 into 0 5.896 * [backup-simplify]: Simplify 1 into 1 5.896 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 5.896 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 5.896 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 5.896 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 5.896 * [taylor]: Taking taylor expansion of -1/2 in J 5.896 * [backup-simplify]: Simplify -1/2 into -1/2 5.896 * [taylor]: Taking taylor expansion of K in J 5.896 * [backup-simplify]: Simplify K into K 5.896 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.896 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.896 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.896 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.896 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.897 * [backup-simplify]: Simplify (- 0) into 0 5.897 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.897 * [taylor]: Taking taylor expansion of (pow U 2) in J 5.897 * [taylor]: Taking taylor expansion of U in J 5.897 * [backup-simplify]: Simplify U into U 5.897 * [backup-simplify]: Simplify (* 1 1) into 1 5.898 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 5.898 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.898 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 5.898 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 5.898 * [backup-simplify]: Simplify (+ 1 0) into 1 5.899 * [backup-simplify]: Simplify (sqrt 1) into 1 5.899 * [backup-simplify]: Simplify (+ 0 0) into 0 5.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.900 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 5.900 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 5.900 * [taylor]: Taking taylor expansion of 1 in U 5.900 * [backup-simplify]: Simplify 1 into 1 5.900 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 5.900 * [taylor]: Taking taylor expansion of 1/4 in U 5.900 * [backup-simplify]: Simplify 1/4 into 1/4 5.900 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 5.900 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.900 * [taylor]: Taking taylor expansion of J in U 5.900 * [backup-simplify]: Simplify J into J 5.900 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 5.900 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 5.901 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 5.901 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 5.901 * [taylor]: Taking taylor expansion of -1/2 in U 5.901 * [backup-simplify]: Simplify -1/2 into -1/2 5.901 * [taylor]: Taking taylor expansion of K in U 5.901 * [backup-simplify]: Simplify K into K 5.901 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.901 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.901 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.901 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.901 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.901 * [backup-simplify]: Simplify (- 0) into 0 5.902 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.902 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.902 * [taylor]: Taking taylor expansion of U in U 5.902 * [backup-simplify]: Simplify 0 into 0 5.902 * [backup-simplify]: Simplify 1 into 1 5.902 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.902 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 5.902 * [backup-simplify]: Simplify (* 1 1) into 1 5.902 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 5.903 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 5.903 * [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))) 5.903 * [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))) 5.903 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 5.903 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.904 * [backup-simplify]: Simplify (+ 0) into 0 5.905 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 5.905 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 5.906 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.906 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 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 (cos (/ -1/2 K)))) into 0 5.908 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 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))))) into 0 5.909 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 5.909 * [backup-simplify]: Simplify (+ 0 0) into 0 5.909 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 5.909 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 5.909 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 5.909 * [taylor]: Taking taylor expansion of 1 in U 5.909 * [backup-simplify]: Simplify 1 into 1 5.909 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 5.909 * [taylor]: Taking taylor expansion of 1/4 in U 5.909 * [backup-simplify]: Simplify 1/4 into 1/4 5.909 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 5.910 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.910 * [taylor]: Taking taylor expansion of J in U 5.910 * [backup-simplify]: Simplify J into J 5.910 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 5.910 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 5.910 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 5.910 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 5.910 * [taylor]: Taking taylor expansion of -1/2 in U 5.910 * [backup-simplify]: Simplify -1/2 into -1/2 5.910 * [taylor]: Taking taylor expansion of K in U 5.910 * [backup-simplify]: Simplify K into K 5.910 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.910 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.910 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.910 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.910 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.910 * [backup-simplify]: Simplify (- 0) into 0 5.911 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.911 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.911 * [taylor]: Taking taylor expansion of U in U 5.911 * [backup-simplify]: Simplify 0 into 0 5.911 * [backup-simplify]: Simplify 1 into 1 5.911 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.911 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 5.911 * [backup-simplify]: Simplify (* 1 1) into 1 5.911 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 5.911 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 5.912 * [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))) 5.912 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 5.912 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 5.912 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.913 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.913 * [backup-simplify]: Simplify (+ 0) into 0 5.914 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 5.914 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 5.915 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.915 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 5.915 * [backup-simplify]: Simplify (- 0) into 0 5.916 * [backup-simplify]: Simplify (+ 0 0) into 0 5.916 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 5.917 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 5.917 * [backup-simplify]: 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 5.918 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 5.918 * [backup-simplify]: Simplify (+ 0 0) into 0 5.919 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 5.919 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 5.919 * [taylor]: Taking taylor expansion of 1/2 in J 5.919 * [backup-simplify]: Simplify 1/2 into 1/2 5.919 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 5.919 * [taylor]: Taking taylor expansion of J in J 5.919 * [backup-simplify]: Simplify 0 into 0 5.919 * [backup-simplify]: Simplify 1 into 1 5.919 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 5.919 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 5.919 * [taylor]: Taking taylor expansion of -1/2 in J 5.919 * [backup-simplify]: Simplify -1/2 into -1/2 5.919 * [taylor]: Taking taylor expansion of K in J 5.919 * [backup-simplify]: Simplify K into K 5.919 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.919 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.919 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.919 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.920 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.920 * [backup-simplify]: Simplify (- 0) into 0 5.920 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.920 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 5.920 * [taylor]: Taking taylor expansion of 0 in J 5.920 * [backup-simplify]: Simplify 0 into 0 5.920 * [taylor]: Taking taylor expansion of 0 in K 5.920 * [backup-simplify]: Simplify 0 into 0 5.920 * [backup-simplify]: Simplify 0 into 0 5.920 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 5.920 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 5.921 * [taylor]: Taking taylor expansion of 1/2 in K 5.921 * [backup-simplify]: Simplify 1/2 into 1/2 5.921 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 5.921 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 5.921 * [taylor]: Taking taylor expansion of -1/2 in K 5.921 * [backup-simplify]: Simplify -1/2 into -1/2 5.921 * [taylor]: Taking taylor expansion of K in K 5.921 * [backup-simplify]: Simplify 0 into 0 5.921 * [backup-simplify]: Simplify 1 into 1 5.921 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.921 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.921 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 5.922 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 5.922 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 5.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.929 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.930 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 5.930 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 5.930 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.931 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 5.931 * [backup-simplify]: Simplify (- 0) into 0 5.931 * [backup-simplify]: Simplify (+ 0 0) into 0 5.931 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 5.932 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 5.932 * [backup-simplify]: 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 5.933 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 5.933 * [backup-simplify]: Simplify (+ 1 0) into 1 5.934 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 5.934 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 5.934 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 5.934 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 5.934 * [taylor]: Taking taylor expansion of -1/2 in J 5.934 * [backup-simplify]: Simplify -1/2 into -1/2 5.934 * [taylor]: Taking taylor expansion of K in J 5.934 * [backup-simplify]: Simplify K into K 5.934 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.934 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.934 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.934 * [taylor]: Taking taylor expansion of J in J 5.934 * [backup-simplify]: Simplify 0 into 0 5.934 * [backup-simplify]: Simplify 1 into 1 5.934 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.934 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.934 * [backup-simplify]: Simplify (- 0) into 0 5.934 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.934 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.935 * [backup-simplify]: Simplify (+ 0) into 0 5.935 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 5.935 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 5.936 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.936 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 5.936 * [backup-simplify]: Simplify (- 0) into 0 5.936 * [backup-simplify]: Simplify (+ 0 0) into 0 5.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 5.937 * [taylor]: Taking taylor expansion of 0 in K 5.937 * [backup-simplify]: Simplify 0 into 0 5.937 * [backup-simplify]: Simplify 0 into 0 5.937 * [taylor]: Taking taylor expansion of 0 in K 5.937 * [backup-simplify]: Simplify 0 into 0 5.937 * [backup-simplify]: Simplify 0 into 0 5.937 * [backup-simplify]: Simplify (+ 0) into 0 5.938 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 5.938 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 5.938 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.939 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 5.939 * [backup-simplify]: Simplify (- 0) into 0 5.939 * [backup-simplify]: Simplify (+ 0 0) into 0 5.939 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 5.940 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 5.940 * [taylor]: Taking taylor expansion of 0 in K 5.940 * [backup-simplify]: Simplify 0 into 0 5.940 * [backup-simplify]: Simplify 0 into 0 5.940 * [backup-simplify]: Simplify 0 into 0 5.940 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 5.940 * [backup-simplify]: Simplify 0 into 0 5.940 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 5.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.942 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.942 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.942 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 5.943 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 5.944 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 5.944 * [backup-simplify]: Simplify (- 0) into 0 5.944 * [backup-simplify]: Simplify (+ 0 0) into 0 5.945 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 5.945 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.946 * [backup-simplify]: 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 5.946 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 5.947 * [backup-simplify]: Simplify (+ 0 0) into 0 5.947 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 5.947 * [taylor]: Taking taylor expansion of 0 in J 5.947 * [backup-simplify]: Simplify 0 into 0 5.947 * [taylor]: Taking taylor expansion of 0 in K 5.947 * [backup-simplify]: Simplify 0 into 0 5.947 * [backup-simplify]: Simplify 0 into 0 5.947 * [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))) 5.947 * * * * [progress]: [ 2 / 4 ] generating series at (2) 5.948 * [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)))) 5.948 * [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 5.948 * [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 5.948 * [taylor]: Taking taylor expansion of -2 in K 5.948 * [backup-simplify]: Simplify -2 into -2 5.948 * [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 5.948 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) 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 5.948 * [backup-simplify]: Simplify 1 into 1 5.948 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.948 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.948 * [taylor]: Taking taylor expansion of J in K 5.949 * [backup-simplify]: Simplify J into J 5.949 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 5.949 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 5.949 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 5.949 * [taylor]: Taking taylor expansion of 1/4 in K 5.949 * [backup-simplify]: Simplify 1/4 into 1/4 5.949 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 5.949 * [taylor]: Taking taylor expansion of (pow U 2) in K 5.949 * [taylor]: Taking taylor expansion of U in K 5.949 * [backup-simplify]: Simplify U into U 5.949 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 5.949 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 5.949 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 5.949 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 5.949 * [taylor]: Taking taylor expansion of 1/2 in K 5.949 * [backup-simplify]: Simplify 1/2 into 1/2 5.949 * [taylor]: Taking taylor expansion of K in K 5.949 * [backup-simplify]: Simplify 0 into 0 5.949 * [backup-simplify]: Simplify 1 into 1 5.949 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.950 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.950 * [taylor]: Taking taylor expansion of (pow J 2) in K 5.950 * [taylor]: Taking taylor expansion of J in K 5.950 * [backup-simplify]: Simplify J into J 5.950 * [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 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 5.951 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 5.951 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.951 * [backup-simplify]: Simplify (+ 0) into 0 5.951 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 5.952 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 5.952 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 5.952 * [backup-simplify]: Simplify (+ 0 0) into 0 5.952 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 5.953 * [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 5.953 * [taylor]: Taking taylor expansion of -2 in J 5.953 * [backup-simplify]: Simplify -2 into -2 5.953 * [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 5.953 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 5.953 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 5.953 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 5.953 * [taylor]: Taking taylor expansion of 1/2 in J 5.953 * [backup-simplify]: Simplify 1/2 into 1/2 5.953 * [taylor]: Taking taylor expansion of K in J 5.953 * [backup-simplify]: Simplify K into K 5.953 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.953 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.953 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.953 * [taylor]: Taking taylor expansion of J in J 5.953 * [backup-simplify]: Simplify 0 into 0 5.953 * [backup-simplify]: Simplify 1 into 1 5.953 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 5.953 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 5.953 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 5.953 * [taylor]: Taking taylor expansion of 1/4 in J 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 J 5.953 * [taylor]: Taking taylor expansion of (pow U 2) in J 5.953 * [taylor]: Taking taylor expansion of U in J 5.953 * [backup-simplify]: Simplify U into U 5.953 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 5.953 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 5.953 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 5.953 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 5.953 * [taylor]: Taking taylor expansion of 1/2 in J 5.953 * [backup-simplify]: Simplify 1/2 into 1/2 5.953 * [taylor]: Taking taylor expansion of K in J 5.953 * [backup-simplify]: Simplify K into K 5.953 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.953 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.953 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.953 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.953 * [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 J 5.954 * [taylor]: Taking taylor expansion of J in J 5.954 * [backup-simplify]: Simplify 0 into 0 5.954 * [backup-simplify]: Simplify 1 into 1 5.954 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.954 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 5.954 * [backup-simplify]: Simplify (* 1 1) into 1 5.954 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 5.954 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 5.954 * [taylor]: Taking taylor expansion of 1 in J 5.954 * [backup-simplify]: Simplify 1 into 1 5.954 * [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))) 5.955 * [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))) 5.955 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 5.955 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 5.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.955 * [backup-simplify]: Simplify (+ 0) into 0 5.956 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 5.956 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 5.957 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.957 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 5.957 * [backup-simplify]: Simplify (- 0) into 0 5.958 * [backup-simplify]: Simplify (+ 0 0) into 0 5.958 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 5.959 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 5.959 * [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 5.960 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 5.960 * [backup-simplify]: Simplify (+ 0 0) into 0 5.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 5.961 * [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 5.961 * [taylor]: Taking taylor expansion of -2 in U 5.961 * [backup-simplify]: Simplify -2 into -2 5.961 * [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 5.961 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 5.961 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 5.961 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 5.961 * [taylor]: Taking taylor expansion of 1/2 in U 5.961 * [backup-simplify]: Simplify 1/2 into 1/2 5.961 * [taylor]: Taking taylor expansion of K in U 5.961 * [backup-simplify]: Simplify K into K 5.961 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.961 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.961 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.961 * [taylor]: Taking taylor expansion of J in U 5.961 * [backup-simplify]: Simplify J into J 5.961 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 5.961 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 5.961 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 5.961 * [taylor]: Taking taylor expansion of 1/4 in U 5.961 * [backup-simplify]: Simplify 1/4 into 1/4 5.961 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 5.961 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.961 * [taylor]: Taking taylor expansion of U in U 5.961 * [backup-simplify]: Simplify 0 into 0 5.962 * [backup-simplify]: Simplify 1 into 1 5.962 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 5.962 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 5.962 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 5.962 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 5.962 * [taylor]: Taking taylor expansion of 1/2 in U 5.962 * [backup-simplify]: Simplify 1/2 into 1/2 5.962 * [taylor]: Taking taylor expansion of K in U 5.962 * [backup-simplify]: Simplify K into K 5.962 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.962 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.962 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.962 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.962 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.963 * [backup-simplify]: Simplify (- 0) into 0 5.963 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.963 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.963 * [taylor]: Taking taylor expansion of J in U 5.963 * [backup-simplify]: Simplify J into J 5.963 * [backup-simplify]: Simplify (* 1 1) into 1 5.963 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 5.963 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.963 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 5.964 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 5.964 * [taylor]: Taking taylor expansion of 1 in U 5.964 * [backup-simplify]: Simplify 1 into 1 5.964 * [backup-simplify]: Simplify (+ 0 1) into 1 5.965 * [backup-simplify]: Simplify (sqrt 1) into 1 5.965 * [backup-simplify]: Simplify (+ 0 0) into 0 5.966 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.966 * [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 5.966 * [taylor]: Taking taylor expansion of -2 in U 5.966 * [backup-simplify]: Simplify -2 into -2 5.966 * [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 5.966 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 5.966 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 5.966 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 5.966 * [taylor]: Taking taylor expansion of 1/2 in U 5.966 * [backup-simplify]: Simplify 1/2 into 1/2 5.966 * [taylor]: Taking taylor expansion of K in U 5.966 * [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 * [taylor]: Taking taylor expansion of J in U 5.967 * [backup-simplify]: Simplify J into J 5.967 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 5.967 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 5.967 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 5.967 * [taylor]: Taking taylor expansion of 1/4 in U 5.967 * [backup-simplify]: Simplify 1/4 into 1/4 5.967 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 5.967 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.967 * [taylor]: Taking taylor expansion of U in U 5.967 * [backup-simplify]: Simplify 0 into 0 5.967 * [backup-simplify]: Simplify 1 into 1 5.967 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 5.967 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 5.967 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 5.967 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 5.967 * [taylor]: Taking taylor expansion of 1/2 in U 5.967 * [backup-simplify]: Simplify 1/2 into 1/2 5.967 * [taylor]: Taking taylor expansion of K in U 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)) 5.968 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.968 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.968 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.968 * [backup-simplify]: Simplify (- 0) into 0 5.968 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.968 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.968 * [taylor]: Taking taylor expansion of J in U 5.968 * [backup-simplify]: Simplify J into J 5.969 * [backup-simplify]: Simplify (* 1 1) into 1 5.969 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 5.969 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.969 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 5.969 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 5.969 * [taylor]: Taking taylor expansion of 1 in U 5.969 * [backup-simplify]: Simplify 1 into 1 5.970 * [backup-simplify]: Simplify (+ 0 1) into 1 5.970 * [backup-simplify]: Simplify (sqrt 1) into 1 5.971 * [backup-simplify]: Simplify (+ 0 0) into 0 5.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.972 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.972 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.972 * [backup-simplify]: Simplify (- 0) into 0 5.972 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.972 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 5.972 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J) 5.973 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 5.973 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 5.973 * [taylor]: Taking taylor expansion of -2 in J 5.973 * [backup-simplify]: Simplify -2 into -2 5.973 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 5.973 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 5.973 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 5.973 * [taylor]: Taking taylor expansion of 1/2 in J 5.973 * [backup-simplify]: Simplify 1/2 into 1/2 5.973 * [taylor]: Taking taylor expansion of K in J 5.973 * [backup-simplify]: Simplify K into K 5.973 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.973 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.973 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.973 * [taylor]: Taking taylor expansion of J in J 5.973 * [backup-simplify]: Simplify 0 into 0 5.973 * [backup-simplify]: Simplify 1 into 1 5.974 * [backup-simplify]: Simplify (+ 0) into 0 5.974 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 5.975 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 5.975 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.976 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 5.976 * [backup-simplify]: Simplify (- 0) into 0 5.977 * [backup-simplify]: Simplify (+ 0 0) into 0 5.977 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 5.977 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0 5.978 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 5.978 * [taylor]: Taking taylor expansion of 0 in J 5.978 * [backup-simplify]: Simplify 0 into 0 5.978 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.978 * [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 (* (cos (* 1/2 K)) 0) into 0 5.979 * [backup-simplify]: Simplify (* -2 0) into 0 5.979 * [taylor]: Taking taylor expansion of 0 in K 5.979 * [backup-simplify]: Simplify 0 into 0 5.979 * [backup-simplify]: Simplify 0 into 0 5.980 * [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))) 5.980 * [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)))) 5.981 * [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))) 5.982 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.983 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 5.984 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 5.985 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.985 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 5.986 * [backup-simplify]: Simplify (- 0) into 0 5.986 * [backup-simplify]: Simplify (+ 0 0) into 0 5.986 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 5.987 * [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))) 5.988 * [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)))) 5.988 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J 5.988 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J 5.988 * [taylor]: Taking taylor expansion of 1/4 in J 5.988 * [backup-simplify]: Simplify 1/4 into 1/4 5.988 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J 5.988 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 5.988 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 5.988 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 5.988 * [taylor]: Taking taylor expansion of 1/2 in J 5.988 * [backup-simplify]: Simplify 1/2 into 1/2 5.988 * [taylor]: Taking taylor expansion of K in J 5.988 * [backup-simplify]: Simplify K into K 5.989 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.989 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.989 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.989 * [taylor]: Taking taylor expansion of J in J 5.989 * [backup-simplify]: Simplify 0 into 0 5.989 * [backup-simplify]: Simplify 1 into 1 5.989 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.989 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.989 * [backup-simplify]: Simplify (- 0) into 0 5.989 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.989 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 5.990 * [backup-simplify]: Simplify (+ 0) into 0 5.990 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 5.991 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 5.992 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.992 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 5.993 * [backup-simplify]: Simplify (- 0) into 0 5.993 * [backup-simplify]: Simplify (+ 0 0) into 0 5.993 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 5.994 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 5.994 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K))) 5.994 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K))))) 5.994 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K 5.994 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K 5.994 * [taylor]: Taking taylor expansion of 1/4 in K 5.994 * [backup-simplify]: Simplify 1/4 into 1/4 5.994 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K 5.994 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 5.994 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 5.994 * [taylor]: Taking taylor expansion of 1/2 in K 5.994 * [backup-simplify]: Simplify 1/2 into 1/2 5.994 * [taylor]: Taking taylor expansion of K in K 5.994 * [backup-simplify]: Simplify 0 into 0 5.994 * [backup-simplify]: Simplify 1 into 1 5.995 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.995 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.996 * [backup-simplify]: Simplify (/ 1 1) into 1 5.996 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 5.997 * [backup-simplify]: Simplify (- 1/4) into -1/4 5.997 * [backup-simplify]: Simplify -1/4 into -1/4 5.997 * [taylor]: Taking taylor expansion of 0 in K 5.997 * [backup-simplify]: Simplify 0 into 0 5.997 * [backup-simplify]: Simplify 0 into 0 5.997 * [backup-simplify]: Simplify (+ 0) into 0 5.998 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 5.998 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 5.999 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.000 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.000 * [backup-simplify]: Simplify (- 0) into 0 6.001 * [backup-simplify]: Simplify (+ 0 0) into 0 6.001 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 6.002 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 6.002 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 6.002 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 6.002 * [taylor]: Taking taylor expansion of 2 in K 6.002 * [backup-simplify]: Simplify 2 into 2 6.002 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 6.002 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 6.002 * [taylor]: Taking taylor expansion of 1/2 in K 6.002 * [backup-simplify]: Simplify 1/2 into 1/2 6.002 * [taylor]: Taking taylor expansion of K in K 6.002 * [backup-simplify]: Simplify 0 into 0 6.002 * [backup-simplify]: Simplify 1 into 1 6.002 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.003 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.004 * [backup-simplify]: Simplify (* 2 1) into 2 6.004 * [backup-simplify]: Simplify (- 2) into -2 6.004 * [backup-simplify]: Simplify -2 into -2 6.004 * [backup-simplify]: Simplify 0 into 0 6.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.005 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.005 * [backup-simplify]: Simplify (+ 0) into 0 6.006 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.006 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.007 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.008 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.008 * [backup-simplify]: Simplify (- 0) into 0 6.008 * [backup-simplify]: Simplify (+ 0 0) into 0 6.009 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 6.009 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 6.009 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 6.010 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 6.011 * [backup-simplify]: Simplify (+ 0 0) into 0 6.011 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 6.012 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.013 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.014 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 6.016 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.017 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.017 * [backup-simplify]: Simplify (- 0) into 0 6.017 * [backup-simplify]: Simplify (+ 0 0) into 0 6.018 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 6.020 * [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 6.021 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 6.021 * [taylor]: Taking taylor expansion of 0 in J 6.021 * [backup-simplify]: Simplify 0 into 0 6.022 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.023 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.024 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 6.025 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.025 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.026 * [backup-simplify]: Simplify (- 0) into 0 6.026 * [backup-simplify]: Simplify (+ 0 0) into 0 6.027 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 6.027 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 6.028 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 6.028 * [backup-simplify]: Simplify (- 0) into 0 6.028 * [taylor]: Taking taylor expansion of 0 in K 6.028 * [backup-simplify]: Simplify 0 into 0 6.028 * [backup-simplify]: Simplify 0 into 0 6.028 * [taylor]: Taking taylor expansion of 0 in K 6.028 * [backup-simplify]: Simplify 0 into 0 6.028 * [backup-simplify]: Simplify 0 into 0 6.029 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.030 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.031 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 6.032 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.032 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.033 * [backup-simplify]: Simplify (- 0) into 0 6.033 * [backup-simplify]: Simplify (+ 0 0) into 0 6.034 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 6.035 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 6.035 * [taylor]: Taking taylor expansion of 0 in K 6.035 * [backup-simplify]: Simplify 0 into 0 6.035 * [backup-simplify]: Simplify 0 into 0 6.035 * [backup-simplify]: Simplify (+ 0) into 0 6.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.037 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 6.037 * [backup-simplify]: Simplify (- 0) into 0 6.037 * [backup-simplify]: Simplify 0 into 0 6.037 * [backup-simplify]: Simplify 0 into 0 6.038 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 6.039 * [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))) 6.039 * [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 6.039 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in K 6.039 * [taylor]: Taking taylor expansion of -2 in K 6.039 * [backup-simplify]: Simplify -2 into -2 6.039 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in K 6.039 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 6.039 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 6.039 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 6.039 * [taylor]: Taking taylor expansion of 1/4 in K 6.039 * [backup-simplify]: Simplify 1/4 into 1/4 6.039 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 6.039 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.039 * [taylor]: Taking taylor expansion of J in K 6.039 * [backup-simplify]: Simplify J into J 6.039 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 6.039 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.039 * [taylor]: Taking taylor expansion of U in K 6.039 * [backup-simplify]: Simplify U into U 6.039 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 6.039 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.039 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.039 * [taylor]: Taking taylor expansion of 1/2 in K 6.039 * [backup-simplify]: Simplify 1/2 into 1/2 6.039 * [taylor]: Taking taylor expansion of K in K 6.039 * [backup-simplify]: Simplify 0 into 0 6.039 * [backup-simplify]: Simplify 1 into 1 6.040 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.040 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.040 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.040 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.040 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.041 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.041 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 6.041 * [taylor]: Taking taylor expansion of 1 in K 6.041 * [backup-simplify]: Simplify 1 into 1 6.041 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 6.042 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 6.042 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 6.042 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.042 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.042 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.042 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.043 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 6.044 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 6.044 * [backup-simplify]: Simplify (+ 0 0) into 0 6.045 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 6.045 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 6.045 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.045 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.045 * [taylor]: Taking taylor expansion of 1/2 in K 6.045 * [backup-simplify]: Simplify 1/2 into 1/2 6.045 * [taylor]: Taking taylor expansion of K in K 6.045 * [backup-simplify]: Simplify 0 into 0 6.045 * [backup-simplify]: Simplify 1 into 1 6.046 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.046 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.046 * [taylor]: Taking taylor expansion of J in K 6.046 * [backup-simplify]: Simplify J into J 6.046 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 6.046 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J 6.046 * [taylor]: Taking taylor expansion of -2 in J 6.046 * [backup-simplify]: Simplify -2 into -2 6.046 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J 6.046 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 6.046 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 6.046 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 6.046 * [taylor]: Taking taylor expansion of 1/4 in J 6.046 * [backup-simplify]: Simplify 1/4 into 1/4 6.046 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 6.046 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.046 * [taylor]: Taking taylor expansion of J in J 6.046 * [backup-simplify]: Simplify 0 into 0 6.046 * [backup-simplify]: Simplify 1 into 1 6.046 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 6.046 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.046 * [taylor]: Taking taylor expansion of U in J 6.046 * [backup-simplify]: Simplify U into U 6.046 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.046 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.046 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.047 * [taylor]: Taking taylor expansion of 1/2 in J 6.047 * [backup-simplify]: Simplify 1/2 into 1/2 6.047 * [taylor]: Taking taylor expansion of K in J 6.047 * [backup-simplify]: Simplify K into K 6.047 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.047 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.047 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.047 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.047 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.047 * [backup-simplify]: Simplify (- 0) into 0 6.048 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.048 * [backup-simplify]: Simplify (* 1 1) into 1 6.048 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.048 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.048 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.049 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 6.049 * [taylor]: Taking taylor expansion of 1 in J 6.049 * [backup-simplify]: Simplify 1 into 1 6.049 * [backup-simplify]: Simplify (+ 0 1) into 1 6.049 * [backup-simplify]: Simplify (sqrt 1) into 1 6.050 * [backup-simplify]: Simplify (+ 0 0) into 0 6.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.051 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 6.051 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.051 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.051 * [taylor]: Taking taylor expansion of 1/2 in J 6.051 * [backup-simplify]: Simplify 1/2 into 1/2 6.051 * [taylor]: Taking taylor expansion of K in J 6.051 * [backup-simplify]: Simplify K into K 6.051 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.051 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.051 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.051 * [taylor]: Taking taylor expansion of J in J 6.051 * [backup-simplify]: Simplify 0 into 0 6.051 * [backup-simplify]: Simplify 1 into 1 6.051 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.051 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.052 * [backup-simplify]: Simplify (- 0) into 0 6.052 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.052 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.052 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U 6.052 * [taylor]: Taking taylor expansion of -2 in U 6.052 * [backup-simplify]: Simplify -2 into -2 6.052 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U 6.052 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 6.052 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 6.052 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 6.052 * [taylor]: Taking taylor expansion of 1/4 in U 6.052 * [backup-simplify]: Simplify 1/4 into 1/4 6.052 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 6.052 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.052 * [taylor]: Taking taylor expansion of J in U 6.052 * [backup-simplify]: Simplify J into J 6.052 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 6.053 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.053 * [taylor]: Taking taylor expansion of U in U 6.053 * [backup-simplify]: Simplify 0 into 0 6.053 * [backup-simplify]: Simplify 1 into 1 6.053 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 6.053 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.053 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.053 * [taylor]: Taking taylor expansion of 1/2 in U 6.053 * [backup-simplify]: Simplify 1/2 into 1/2 6.053 * [taylor]: Taking taylor expansion of K in U 6.053 * [backup-simplify]: Simplify K into K 6.053 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.053 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.053 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.053 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.053 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.054 * [backup-simplify]: Simplify (- 0) into 0 6.054 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.054 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.054 * [backup-simplify]: Simplify (* 1 1) into 1 6.054 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.055 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 6.055 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 6.055 * [taylor]: Taking taylor expansion of 1 in U 6.055 * [backup-simplify]: Simplify 1 into 1 6.055 * [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))) 6.055 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 6.056 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 6.056 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.056 * [backup-simplify]: Simplify (+ 0) into 0 6.057 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.057 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.058 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.058 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.058 * [backup-simplify]: Simplify (- 0) into 0 6.059 * [backup-simplify]: Simplify (+ 0 0) into 0 6.059 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.061 * [backup-simplify]: 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 6.061 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 6.062 * [backup-simplify]: Simplify (+ 0 0) into 0 6.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 6.062 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 6.062 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.062 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.062 * [taylor]: Taking taylor expansion of 1/2 in U 6.062 * [backup-simplify]: Simplify 1/2 into 1/2 6.062 * [taylor]: Taking taylor expansion of K in U 6.062 * [backup-simplify]: Simplify K into K 6.062 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.062 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.062 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.062 * [taylor]: Taking taylor expansion of J in U 6.062 * [backup-simplify]: Simplify J into J 6.062 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.062 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.063 * [backup-simplify]: Simplify (- 0) into 0 6.063 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.063 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 6.063 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U 6.063 * [taylor]: Taking taylor expansion of -2 in U 6.063 * [backup-simplify]: Simplify -2 into -2 6.063 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U 6.063 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 6.063 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 6.063 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 6.063 * [taylor]: Taking taylor expansion of 1/4 in U 6.063 * [backup-simplify]: Simplify 1/4 into 1/4 6.063 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 6.063 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.063 * [taylor]: Taking taylor expansion of J in U 6.063 * [backup-simplify]: Simplify J into J 6.063 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 6.063 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.063 * [taylor]: Taking taylor expansion of U in U 6.063 * [backup-simplify]: Simplify 0 into 0 6.063 * [backup-simplify]: Simplify 1 into 1 6.063 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 6.063 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.064 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.064 * [taylor]: Taking taylor expansion of 1/2 in U 6.064 * [backup-simplify]: Simplify 1/2 into 1/2 6.064 * [taylor]: Taking taylor expansion of K in U 6.064 * [backup-simplify]: Simplify K into K 6.064 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.064 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.064 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.064 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.064 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.064 * [backup-simplify]: Simplify (- 0) into 0 6.064 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.064 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.069 * [backup-simplify]: Simplify (* 1 1) into 1 6.070 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.070 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 6.070 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 6.070 * [taylor]: Taking taylor expansion of 1 in U 6.070 * [backup-simplify]: Simplify 1 into 1 6.070 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 6.071 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 6.071 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 6.071 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.072 * [backup-simplify]: Simplify (+ 0) into 0 6.072 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.072 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.073 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.074 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.074 * [backup-simplify]: Simplify (- 0) into 0 6.074 * [backup-simplify]: Simplify (+ 0 0) into 0 6.074 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.076 * [backup-simplify]: 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 6.077 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 6.077 * [backup-simplify]: Simplify (+ 0 0) into 0 6.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 6.078 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 6.078 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.078 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.078 * [taylor]: Taking taylor expansion of 1/2 in U 6.078 * [backup-simplify]: Simplify 1/2 into 1/2 6.078 * [taylor]: Taking taylor expansion of K in U 6.078 * [backup-simplify]: Simplify K into K 6.078 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.078 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.078 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.078 * [taylor]: Taking taylor expansion of J in U 6.078 * [backup-simplify]: Simplify J into J 6.078 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.078 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.078 * [backup-simplify]: Simplify (- 0) into 0 6.078 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.079 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 6.079 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2 6.079 * [backup-simplify]: Simplify (* -2 1/2) into -1 6.079 * [taylor]: Taking taylor expansion of -1 in J 6.079 * [backup-simplify]: Simplify -1 into -1 6.080 * [backup-simplify]: Simplify (+ 0) into 0 6.080 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.080 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.081 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.081 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.082 * [backup-simplify]: Simplify (- 0) into 0 6.082 * [backup-simplify]: Simplify (+ 0 0) into 0 6.082 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 6.083 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 6.083 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 6.083 * [taylor]: Taking taylor expansion of 0 in J 6.083 * [backup-simplify]: Simplify 0 into 0 6.083 * [taylor]: Taking taylor expansion of -1 in K 6.083 * [backup-simplify]: Simplify -1 into -1 6.083 * [backup-simplify]: Simplify -1 into -1 6.084 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.085 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.085 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.086 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.087 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.087 * [backup-simplify]: Simplify (- 0) into 0 6.088 * [backup-simplify]: Simplify (+ 0 0) into 0 6.088 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 6.088 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.089 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.090 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.090 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.091 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.092 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.092 * [backup-simplify]: Simplify (- 0) into 0 6.092 * [backup-simplify]: Simplify (+ 0 0) into 0 6.093 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 6.095 * [backup-simplify]: 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 6.096 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 6.097 * [backup-simplify]: Simplify (+ 0 1) into 1 6.097 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 6.098 * [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)) 6.099 * [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)))) 6.099 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 6.099 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 6.099 * [taylor]: Taking taylor expansion of 2 in J 6.099 * [backup-simplify]: Simplify 2 into 2 6.099 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 6.099 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.099 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.099 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.099 * [taylor]: Taking taylor expansion of 1/2 in J 6.099 * [backup-simplify]: Simplify 1/2 into 1/2 6.099 * [taylor]: Taking taylor expansion of K in J 6.099 * [backup-simplify]: Simplify K into K 6.099 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.100 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.100 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.100 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.100 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.100 * [backup-simplify]: Simplify (- 0) into 0 6.100 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.100 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.100 * [taylor]: Taking taylor expansion of J in J 6.100 * [backup-simplify]: Simplify 0 into 0 6.100 * [backup-simplify]: Simplify 1 into 1 6.100 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.101 * [backup-simplify]: Simplify (* 1 1) into 1 6.101 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 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 (+ (* 1 0) (* 0 1)) into 0 6.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 6.106 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.107 * [backup-simplify]: Simplify (- 0) into 0 6.107 * [taylor]: Taking taylor expansion of 0 in K 6.107 * [backup-simplify]: Simplify 0 into 0 6.107 * [backup-simplify]: Simplify 0 into 0 6.107 * [taylor]: Taking taylor expansion of 0 in K 6.107 * [backup-simplify]: Simplify 0 into 0 6.107 * [backup-simplify]: Simplify 0 into 0 6.107 * [taylor]: Taking taylor expansion of 0 in K 6.107 * [backup-simplify]: Simplify 0 into 0 6.107 * [backup-simplify]: Simplify 0 into 0 6.107 * [backup-simplify]: Simplify 0 into 0 6.108 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.109 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.109 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.111 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.111 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.112 * [backup-simplify]: Simplify (- 0) into 0 6.112 * [backup-simplify]: Simplify (+ 0 0) into 0 6.112 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 6.113 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 6.114 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.115 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.115 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.117 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.117 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.118 * [backup-simplify]: Simplify (- 0) into 0 6.118 * [backup-simplify]: Simplify (+ 0 0) into 0 6.119 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 6.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.122 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.123 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 6.124 * [backup-simplify]: Simplify (+ 0 0) into 0 6.124 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 6.124 * [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 6.126 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 6.126 * [taylor]: Taking taylor expansion of 0 in J 6.126 * [backup-simplify]: Simplify 0 into 0 6.127 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.127 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.128 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.128 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.129 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.129 * [backup-simplify]: Simplify (- 0) into 0 6.130 * [backup-simplify]: Simplify (+ 0 0) into 0 6.130 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.134 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 6.134 * [backup-simplify]: Simplify (- 0) into 0 6.134 * [taylor]: Taking taylor expansion of 0 in K 6.134 * [backup-simplify]: Simplify 0 into 0 6.134 * [backup-simplify]: Simplify 0 into 0 6.134 * [taylor]: Taking taylor expansion of 0 in K 6.134 * [backup-simplify]: Simplify 0 into 0 6.134 * [backup-simplify]: Simplify 0 into 0 6.134 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 6.135 * [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)))))))) 6.135 * [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 6.135 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 6.135 * [taylor]: Taking taylor expansion of 2 in K 6.135 * [backup-simplify]: Simplify 2 into 2 6.135 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 6.135 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 6.135 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.135 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.135 * [taylor]: Taking taylor expansion of -1/2 in K 6.136 * [backup-simplify]: Simplify -1/2 into -1/2 6.136 * [taylor]: Taking taylor expansion of K in K 6.136 * [backup-simplify]: Simplify 0 into 0 6.136 * [backup-simplify]: Simplify 1 into 1 6.136 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.136 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.136 * [taylor]: Taking taylor expansion of J in K 6.136 * [backup-simplify]: Simplify J into J 6.136 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 6.136 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 6.136 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 6.136 * [taylor]: Taking taylor expansion of 1 in K 6.136 * [backup-simplify]: Simplify 1 into 1 6.136 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 6.136 * [taylor]: Taking taylor expansion of 1/4 in K 6.136 * [backup-simplify]: Simplify 1/4 into 1/4 6.137 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 6.137 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.137 * [taylor]: Taking taylor expansion of J in K 6.137 * [backup-simplify]: Simplify J into J 6.137 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 6.137 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 6.137 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.137 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.137 * [taylor]: Taking taylor expansion of -1/2 in K 6.137 * [backup-simplify]: Simplify -1/2 into -1/2 6.137 * [taylor]: Taking taylor expansion of K in K 6.137 * [backup-simplify]: Simplify 0 into 0 6.137 * [backup-simplify]: Simplify 1 into 1 6.137 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.137 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.137 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.137 * [taylor]: Taking taylor expansion of U in K 6.137 * [backup-simplify]: Simplify U into U 6.138 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.138 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.138 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.138 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.138 * [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))) 6.138 * [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)))) 6.139 * [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))))) 6.139 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 6.139 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.139 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.139 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.140 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 6.140 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 6.141 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 6.141 * [backup-simplify]: Simplify (+ 0 0) into 0 6.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 6.142 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 6.142 * [taylor]: Taking taylor expansion of 2 in J 6.142 * [backup-simplify]: Simplify 2 into 2 6.142 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 6.142 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) 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 6.142 * [backup-simplify]: Simplify K into K 6.142 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.142 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.142 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 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 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.142 * [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)) 6.143 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.143 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 6.143 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 6.143 * [taylor]: Taking taylor expansion of 1 in J 6.143 * [backup-simplify]: Simplify 1 into 1 6.143 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 6.143 * [taylor]: Taking taylor expansion of 1/4 in J 6.143 * [backup-simplify]: Simplify 1/4 into 1/4 6.143 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 6.143 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.143 * [taylor]: Taking taylor expansion of J in J 6.143 * [backup-simplify]: Simplify 0 into 0 6.143 * [backup-simplify]: Simplify 1 into 1 6.143 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 6.143 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 6.143 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.144 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.144 * [taylor]: Taking taylor expansion of -1/2 in J 6.144 * [backup-simplify]: Simplify -1/2 into -1/2 6.144 * [taylor]: Taking taylor expansion of K in J 6.144 * [backup-simplify]: Simplify K into K 6.144 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.144 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.144 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.144 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.144 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.144 * [backup-simplify]: Simplify (- 0) into 0 6.144 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.145 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.145 * [taylor]: Taking taylor expansion of U in J 6.145 * [backup-simplify]: Simplify U into U 6.145 * [backup-simplify]: Simplify (* 1 1) into 1 6.145 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.145 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.145 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.146 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.146 * [backup-simplify]: Simplify (+ 1 0) into 1 6.146 * [backup-simplify]: Simplify (sqrt 1) into 1 6.147 * [backup-simplify]: Simplify (+ 0 0) into 0 6.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.148 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 6.148 * [taylor]: Taking taylor expansion of 2 in U 6.148 * [backup-simplify]: Simplify 2 into 2 6.148 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 6.148 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 6.148 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.148 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.148 * [taylor]: Taking taylor expansion of -1/2 in U 6.148 * [backup-simplify]: Simplify -1/2 into -1/2 6.148 * [taylor]: Taking taylor expansion of K in U 6.148 * [backup-simplify]: Simplify K into K 6.148 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.148 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.149 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.149 * [taylor]: Taking taylor expansion of J in U 6.149 * [backup-simplify]: Simplify J into J 6.149 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.149 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.149 * [backup-simplify]: Simplify (- 0) into 0 6.149 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.149 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 6.149 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 6.149 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 6.150 * [taylor]: Taking taylor expansion of 1 in U 6.150 * [backup-simplify]: Simplify 1 into 1 6.150 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 6.150 * [taylor]: Taking taylor expansion of 1/4 in U 6.150 * [backup-simplify]: Simplify 1/4 into 1/4 6.150 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 6.150 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.150 * [taylor]: Taking taylor expansion of J in U 6.150 * [backup-simplify]: Simplify J into J 6.150 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 6.150 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 6.150 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.150 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.150 * [taylor]: Taking taylor expansion of -1/2 in U 6.150 * [backup-simplify]: Simplify -1/2 into -1/2 6.150 * [taylor]: Taking taylor expansion of K in U 6.150 * [backup-simplify]: Simplify K into K 6.150 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.150 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.150 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.150 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.150 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.151 * [backup-simplify]: Simplify (- 0) into 0 6.151 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.151 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.151 * [taylor]: Taking taylor expansion of U in U 6.151 * [backup-simplify]: Simplify 0 into 0 6.151 * [backup-simplify]: Simplify 1 into 1 6.151 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.151 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.152 * [backup-simplify]: Simplify (* 1 1) into 1 6.152 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 6.152 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 6.152 * [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))) 6.153 * [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))) 6.153 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 6.153 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.154 * [backup-simplify]: Simplify (+ 0) into 0 6.155 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.155 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.156 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.156 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.156 * [backup-simplify]: Simplify (- 0) into 0 6.157 * [backup-simplify]: Simplify (+ 0 0) into 0 6.157 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.157 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 6.158 * [backup-simplify]: 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 6.158 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 6.158 * [backup-simplify]: Simplify (+ 0 0) into 0 6.158 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 6.158 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 6.158 * [taylor]: Taking taylor expansion of 2 in U 6.158 * [backup-simplify]: Simplify 2 into 2 6.158 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 6.158 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 6.158 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.159 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.159 * [taylor]: Taking taylor expansion of -1/2 in U 6.159 * [backup-simplify]: Simplify -1/2 into -1/2 6.159 * [taylor]: Taking taylor expansion of K in U 6.159 * [backup-simplify]: Simplify K into K 6.159 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.159 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.159 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.159 * [taylor]: Taking taylor expansion of J in U 6.159 * [backup-simplify]: Simplify J into J 6.159 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.159 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.159 * [backup-simplify]: Simplify (- 0) into 0 6.159 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.159 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 6.159 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 6.159 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 6.159 * [taylor]: Taking taylor expansion of 1 in U 6.159 * [backup-simplify]: Simplify 1 into 1 6.159 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 6.159 * [taylor]: Taking taylor expansion of 1/4 in U 6.159 * [backup-simplify]: Simplify 1/4 into 1/4 6.159 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 6.159 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.159 * [taylor]: Taking taylor expansion of J in U 6.159 * [backup-simplify]: Simplify J into J 6.159 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 6.159 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 6.159 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.159 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.159 * [taylor]: Taking taylor expansion of -1/2 in U 6.160 * [backup-simplify]: Simplify -1/2 into -1/2 6.160 * [taylor]: Taking taylor expansion of K in U 6.160 * [backup-simplify]: Simplify K into K 6.160 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.160 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.160 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.160 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.160 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.160 * [backup-simplify]: Simplify (- 0) into 0 6.160 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.160 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.160 * [taylor]: Taking taylor expansion of U in U 6.160 * [backup-simplify]: Simplify 0 into 0 6.160 * [backup-simplify]: Simplify 1 into 1 6.160 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.160 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.161 * [backup-simplify]: Simplify (* 1 1) into 1 6.161 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 6.161 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 6.161 * [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))) 6.161 * [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))) 6.161 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 6.161 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.162 * [backup-simplify]: Simplify (+ 0) into 0 6.162 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.162 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.163 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.164 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.164 * [backup-simplify]: Simplify (- 0) into 0 6.164 * [backup-simplify]: Simplify (+ 0 0) into 0 6.164 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.165 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 6.165 * [backup-simplify]: 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 6.165 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 6.166 * [backup-simplify]: Simplify (+ 0 0) into 0 6.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 6.166 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2 6.166 * [backup-simplify]: Simplify (* 2 1/2) into 1 6.166 * [taylor]: Taking taylor expansion of 1 in J 6.167 * [backup-simplify]: Simplify 1 into 1 6.167 * [backup-simplify]: Simplify (+ 0) into 0 6.167 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.167 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.168 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.168 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.168 * [backup-simplify]: Simplify (- 0) into 0 6.169 * [backup-simplify]: Simplify (+ 0 0) into 0 6.169 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 6.169 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 6.169 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 6.169 * [taylor]: Taking taylor expansion of 0 in J 6.169 * [backup-simplify]: Simplify 0 into 0 6.169 * [taylor]: Taking taylor expansion of 1 in K 6.169 * [backup-simplify]: Simplify 1 into 1 6.169 * [backup-simplify]: Simplify 1 into 1 6.170 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.171 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.171 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.171 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.172 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.172 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 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 0) (* 0 (cos (/ -1/2 K))))) into 0 6.174 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 6.174 * [backup-simplify]: 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 6.174 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 6.175 * [backup-simplify]: Simplify (+ 1 0) into 1 6.175 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 6.176 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.176 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.176 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.177 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.177 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.178 * [backup-simplify]: Simplify (- 0) into 0 6.178 * [backup-simplify]: Simplify (+ 0 0) into 0 6.178 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 6.178 * [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)) 6.179 * [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))) 6.179 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 6.179 * [taylor]: Taking taylor expansion of 2 in J 6.179 * [backup-simplify]: Simplify 2 into 2 6.179 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 6.179 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 6.179 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.179 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.179 * [taylor]: Taking taylor expansion of -1/2 in J 6.179 * [backup-simplify]: Simplify -1/2 into -1/2 6.179 * [taylor]: Taking taylor expansion of K in J 6.179 * [backup-simplify]: Simplify K into K 6.179 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.179 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.179 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.179 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.179 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.180 * [backup-simplify]: Simplify (- 0) into 0 6.180 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.180 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.180 * [taylor]: Taking taylor expansion of J in J 6.180 * [backup-simplify]: Simplify 0 into 0 6.180 * [backup-simplify]: Simplify 1 into 1 6.180 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.180 * [backup-simplify]: Simplify (* 1 1) into 1 6.180 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 6.181 * [backup-simplify]: Simplify (+ 0) into 0 6.181 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.181 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.182 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.182 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.182 * [backup-simplify]: Simplify (- 0) into 0 6.182 * [backup-simplify]: Simplify (+ 0 0) into 0 6.182 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 6.184 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 6.184 * [taylor]: Taking taylor expansion of 0 in K 6.184 * [backup-simplify]: Simplify 0 into 0 6.184 * [backup-simplify]: Simplify 0 into 0 6.184 * [taylor]: Taking taylor expansion of 0 in K 6.184 * [backup-simplify]: Simplify 0 into 0 6.184 * [backup-simplify]: Simplify 0 into 0 6.184 * [taylor]: Taking taylor expansion of 0 in K 6.184 * [backup-simplify]: Simplify 0 into 0 6.184 * [backup-simplify]: Simplify 0 into 0 6.184 * [backup-simplify]: Simplify 0 into 0 6.185 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 6.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.186 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.187 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.187 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.188 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.188 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.188 * [backup-simplify]: Simplify (- 0) into 0 6.189 * [backup-simplify]: Simplify (+ 0 0) into 0 6.190 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 6.190 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.191 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 6.193 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 6.193 * [backup-simplify]: Simplify (+ 0 0) into 0 6.193 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 6.194 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.195 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.195 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.197 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.198 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.203 * [backup-simplify]: Simplify (- 0) into 0 6.204 * [backup-simplify]: Simplify (+ 0 0) into 0 6.204 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 6.205 * [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 6.206 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 6.206 * [taylor]: Taking taylor expansion of 0 in J 6.206 * [backup-simplify]: Simplify 0 into 0 6.207 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.208 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.208 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.209 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.209 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.210 * [backup-simplify]: Simplify (- 0) into 0 6.210 * [backup-simplify]: Simplify (+ 0 0) into 0 6.211 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 6.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.214 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 6.214 * [taylor]: Taking taylor expansion of 0 in K 6.214 * [backup-simplify]: Simplify 0 into 0 6.214 * [backup-simplify]: Simplify 0 into 0 6.214 * [taylor]: Taking taylor expansion of 0 in K 6.214 * [backup-simplify]: Simplify 0 into 0 6.214 * [backup-simplify]: Simplify 0 into 0 6.214 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 6.214 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 6.215 * [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)))) 6.215 * [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 6.215 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 6.215 * [taylor]: Taking taylor expansion of 1/4 in K 6.215 * [backup-simplify]: Simplify 1/4 into 1/4 6.215 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 6.215 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.215 * [taylor]: Taking taylor expansion of U in K 6.215 * [backup-simplify]: Simplify U into U 6.215 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 6.215 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 6.215 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 6.215 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 6.215 * [taylor]: Taking taylor expansion of 1/2 in K 6.215 * [backup-simplify]: Simplify 1/2 into 1/2 6.215 * [taylor]: Taking taylor expansion of K in K 6.215 * [backup-simplify]: Simplify 0 into 0 6.215 * [backup-simplify]: Simplify 1 into 1 6.216 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.216 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.217 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.217 * [taylor]: Taking taylor expansion of J in K 6.217 * [backup-simplify]: Simplify J into J 6.217 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.217 * [backup-simplify]: Simplify (* 1 1) into 1 6.217 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.217 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 6.217 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 6.217 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 6.217 * [taylor]: Taking taylor expansion of 1/4 in J 6.217 * [backup-simplify]: Simplify 1/4 into 1/4 6.217 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 6.218 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.218 * [taylor]: Taking taylor expansion of U in J 6.218 * [backup-simplify]: Simplify U into U 6.218 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 6.218 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 6.218 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.218 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.218 * [taylor]: Taking taylor expansion of 1/2 in J 6.218 * [backup-simplify]: Simplify 1/2 into 1/2 6.218 * [taylor]: Taking taylor expansion of K in J 6.218 * [backup-simplify]: Simplify K into K 6.218 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.218 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.218 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.218 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.218 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.219 * [backup-simplify]: Simplify (- 0) into 0 6.219 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.219 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.219 * [taylor]: Taking taylor expansion of J in J 6.219 * [backup-simplify]: Simplify 0 into 0 6.219 * [backup-simplify]: Simplify 1 into 1 6.219 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.219 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.219 * [backup-simplify]: Simplify (* 1 1) into 1 6.220 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 6.220 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 6.220 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 6.220 * [taylor]: Taking taylor expansion of 1/4 in U 6.220 * [backup-simplify]: Simplify 1/4 into 1/4 6.220 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 6.220 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.220 * [taylor]: Taking taylor expansion of U in U 6.220 * [backup-simplify]: Simplify 0 into 0 6.220 * [backup-simplify]: Simplify 1 into 1 6.220 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 6.220 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 6.220 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.220 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 6.220 * [taylor]: Taking taylor expansion of 1/2 in U 6.220 * [backup-simplify]: Simplify 1/2 into 1/2 6.220 * [taylor]: Taking taylor expansion of K in U 6.220 * [backup-simplify]: Simplify K into K 6.220 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.220 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.220 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.220 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.221 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.221 * [backup-simplify]: Simplify (- 0) into 0 6.221 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.221 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.221 * [taylor]: Taking taylor expansion of J in U 6.221 * [backup-simplify]: Simplify J into J 6.222 * [backup-simplify]: Simplify (* 1 1) into 1 6.222 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.222 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.222 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 6.222 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.222 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 6.222 * [taylor]: Taking taylor expansion of 1/4 in U 6.222 * [backup-simplify]: Simplify 1/4 into 1/4 6.222 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 6.222 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.222 * [taylor]: Taking taylor expansion of U in U 6.222 * [backup-simplify]: Simplify 0 into 0 6.222 * [backup-simplify]: Simplify 1 into 1 6.222 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 6.222 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 6.222 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.222 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 6.222 * [taylor]: Taking taylor expansion of 1/2 in U 6.223 * [backup-simplify]: Simplify 1/2 into 1/2 6.223 * [taylor]: Taking taylor expansion of K in U 6.223 * [backup-simplify]: Simplify K into K 6.223 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.223 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.223 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.223 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.223 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.223 * [backup-simplify]: Simplify (- 0) into 0 6.223 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.223 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.223 * [taylor]: Taking taylor expansion of J in U 6.224 * [backup-simplify]: Simplify J into J 6.224 * [backup-simplify]: Simplify (* 1 1) into 1 6.224 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.224 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.224 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 6.224 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.225 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.225 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 6.225 * [taylor]: Taking taylor expansion of 1/4 in J 6.225 * [backup-simplify]: Simplify 1/4 into 1/4 6.225 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 6.225 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 6.225 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.225 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.225 * [taylor]: Taking taylor expansion of 1/2 in J 6.225 * [backup-simplify]: Simplify 1/2 into 1/2 6.225 * [taylor]: Taking taylor expansion of K in J 6.225 * [backup-simplify]: Simplify K into K 6.225 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.225 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.225 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.225 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.225 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.225 * [backup-simplify]: Simplify (- 0) into 0 6.226 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.226 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.226 * [taylor]: Taking taylor expansion of J in J 6.226 * [backup-simplify]: Simplify 0 into 0 6.226 * [backup-simplify]: Simplify 1 into 1 6.226 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.226 * [backup-simplify]: Simplify (* 1 1) into 1 6.226 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 6.226 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (* 1/2 K)) 2)) into (/ 1/4 (pow (cos (* 1/2 K)) 2)) 6.226 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (* 1/2 K)) 2)) in K 6.226 * [taylor]: Taking taylor expansion of 1/4 in K 6.226 * [backup-simplify]: Simplify 1/4 into 1/4 6.226 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 6.226 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 6.226 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 6.226 * [taylor]: Taking taylor expansion of 1/2 in K 6.226 * [backup-simplify]: Simplify 1/2 into 1/2 6.226 * [taylor]: Taking taylor expansion of K in K 6.226 * [backup-simplify]: Simplify 0 into 0 6.226 * [backup-simplify]: Simplify 1 into 1 6.227 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.227 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.228 * [backup-simplify]: Simplify (* 1 1) into 1 6.228 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 6.228 * [backup-simplify]: Simplify 1/4 into 1/4 6.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.228 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.229 * [backup-simplify]: Simplify (+ 0) into 0 6.229 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.229 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.230 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.230 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.230 * [backup-simplify]: Simplify (- 0) into 0 6.230 * [backup-simplify]: Simplify (+ 0 0) into 0 6.230 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 6.231 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 6.231 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 6.231 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 6.231 * [taylor]: Taking taylor expansion of 0 in J 6.231 * [backup-simplify]: Simplify 0 into 0 6.232 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.232 * [backup-simplify]: Simplify (+ 0) into 0 6.232 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.233 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.233 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.233 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.234 * [backup-simplify]: Simplify (- 0) into 0 6.234 * [backup-simplify]: Simplify (+ 0 0) into 0 6.234 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 6.234 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 6.234 * [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 6.234 * [taylor]: Taking taylor expansion of 0 in K 6.234 * [backup-simplify]: Simplify 0 into 0 6.235 * [backup-simplify]: Simplify 0 into 0 6.235 * [backup-simplify]: Simplify (+ 0) into 0 6.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 6.236 * [backup-simplify]: Simplify 0 into 0 6.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.237 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.237 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.238 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.238 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 6.239 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.239 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.239 * [backup-simplify]: Simplify (- 0) into 0 6.239 * [backup-simplify]: Simplify (+ 0 0) into 0 6.240 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 6.240 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0 6.240 * [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 6.241 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 6.241 * [taylor]: Taking taylor expansion of 0 in J 6.241 * [backup-simplify]: Simplify 0 into 0 6.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.242 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.243 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.243 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 6.244 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.244 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.244 * [backup-simplify]: Simplify (- 0) into 0 6.244 * [backup-simplify]: Simplify (+ 0 0) into 0 6.245 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 6.245 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 6.245 * [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 6.245 * [taylor]: Taking taylor expansion of 0 in K 6.245 * [backup-simplify]: Simplify 0 into 0 6.245 * [backup-simplify]: Simplify 0 into 0 6.246 * [backup-simplify]: Simplify 0 into 0 6.246 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 6.247 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4 6.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ -1/4 1)) (* 0 (/ 0 1)))) into 1/16 6.247 * [backup-simplify]: Simplify 1/16 into 1/16 6.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.249 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 6.249 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.250 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.251 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 6.251 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.252 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.252 * [backup-simplify]: Simplify (- 0) into 0 6.252 * [backup-simplify]: Simplify (+ 0 0) into 0 6.253 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 6.254 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0 6.254 * [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 6.255 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) into 0 6.255 * [taylor]: Taking taylor expansion of 0 in J 6.255 * [backup-simplify]: Simplify 0 into 0 6.255 * [taylor]: Taking taylor expansion of 0 in K 6.255 * [backup-simplify]: Simplify 0 into 0 6.255 * [backup-simplify]: Simplify 0 into 0 6.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.256 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.257 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.258 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 6.260 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.261 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.261 * [backup-simplify]: Simplify (- 0) into 0 6.261 * [backup-simplify]: Simplify (+ 0 0) into 0 6.262 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 6.263 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.263 * [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 6.264 * [taylor]: Taking taylor expansion of 0 in K 6.264 * [backup-simplify]: Simplify 0 into 0 6.264 * [backup-simplify]: Simplify 0 into 0 6.264 * [backup-simplify]: Simplify 0 into 0 6.264 * [backup-simplify]: Simplify 0 into 0 6.265 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 6.266 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0 6.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ -1/4 1)) (* 1/16 (/ 0 1)))) into 0 6.269 * [backup-simplify]: Simplify 0 into 0 6.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.271 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 6.274 * [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 6.275 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.276 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 6.278 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 6.278 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 6.279 * [backup-simplify]: Simplify (- 0) into 0 6.279 * [backup-simplify]: Simplify (+ 0 0) into 0 6.280 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0 6.282 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2)))))) into 0 6.283 * [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 6.284 * [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 6.284 * [taylor]: Taking taylor expansion of 0 in J 6.284 * [backup-simplify]: Simplify 0 into 0 6.285 * [taylor]: Taking taylor expansion of 0 in K 6.285 * [backup-simplify]: Simplify 0 into 0 6.285 * [backup-simplify]: Simplify 0 into 0 6.285 * [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)))) 6.286 * [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)))) 6.286 * [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 6.286 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 6.286 * [taylor]: Taking taylor expansion of 1/4 in K 6.286 * [backup-simplify]: Simplify 1/4 into 1/4 6.286 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 6.286 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.286 * [taylor]: Taking taylor expansion of J in K 6.286 * [backup-simplify]: Simplify J into J 6.286 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 6.286 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.286 * [taylor]: Taking taylor expansion of U in K 6.286 * [backup-simplify]: Simplify U into U 6.286 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 6.286 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.286 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.286 * [taylor]: Taking taylor expansion of 1/2 in K 6.286 * [backup-simplify]: Simplify 1/2 into 1/2 6.286 * [taylor]: Taking taylor expansion of K in K 6.286 * [backup-simplify]: Simplify 0 into 0 6.286 * [backup-simplify]: Simplify 1 into 1 6.287 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.287 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.287 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.287 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.287 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.287 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.287 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 6.287 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 6.288 * [taylor]: Taking taylor expansion of 1/4 in J 6.288 * [backup-simplify]: Simplify 1/4 into 1/4 6.288 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 6.288 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.288 * [taylor]: Taking taylor expansion of J in J 6.288 * [backup-simplify]: Simplify 0 into 0 6.288 * [backup-simplify]: Simplify 1 into 1 6.288 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 6.288 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.288 * [taylor]: Taking taylor expansion of U in J 6.288 * [backup-simplify]: Simplify U into U 6.288 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.288 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.288 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.288 * [taylor]: Taking taylor expansion of 1/2 in J 6.288 * [backup-simplify]: Simplify 1/2 into 1/2 6.288 * [taylor]: Taking taylor expansion of K in J 6.288 * [backup-simplify]: Simplify K into K 6.288 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.288 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.288 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.288 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.288 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.289 * [backup-simplify]: Simplify (- 0) into 0 6.289 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.289 * [backup-simplify]: Simplify (* 1 1) into 1 6.289 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.289 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.289 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.289 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 6.289 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 6.289 * [taylor]: Taking taylor expansion of 1/4 in U 6.290 * [backup-simplify]: Simplify 1/4 into 1/4 6.290 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 6.290 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.290 * [taylor]: Taking taylor expansion of J in U 6.290 * [backup-simplify]: Simplify J into J 6.290 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 6.290 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.290 * [taylor]: Taking taylor expansion of U in U 6.290 * [backup-simplify]: Simplify 0 into 0 6.290 * [backup-simplify]: Simplify 1 into 1 6.290 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 6.290 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.290 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.290 * [taylor]: Taking taylor expansion of 1/2 in U 6.290 * [backup-simplify]: Simplify 1/2 into 1/2 6.290 * [taylor]: Taking taylor expansion of K in U 6.290 * [backup-simplify]: Simplify K into K 6.290 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.290 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.290 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.290 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.290 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.290 * [backup-simplify]: Simplify (- 0) into 0 6.290 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.290 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.291 * [backup-simplify]: Simplify (* 1 1) into 1 6.291 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.291 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 6.291 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 6.291 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 6.291 * [taylor]: Taking taylor expansion of 1/4 in U 6.291 * [backup-simplify]: Simplify 1/4 into 1/4 6.291 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 6.291 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.291 * [taylor]: Taking taylor expansion of J in U 6.291 * [backup-simplify]: Simplify J into J 6.291 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 6.291 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.291 * [taylor]: Taking taylor expansion of U in U 6.291 * [backup-simplify]: Simplify 0 into 0 6.291 * [backup-simplify]: Simplify 1 into 1 6.291 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 6.291 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.291 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.291 * [taylor]: Taking taylor expansion of 1/2 in U 6.291 * [backup-simplify]: Simplify 1/2 into 1/2 6.291 * [taylor]: Taking taylor expansion of K in U 6.291 * [backup-simplify]: Simplify K into K 6.291 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.291 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.291 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.291 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.291 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.292 * [backup-simplify]: Simplify (- 0) into 0 6.292 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.292 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.292 * [backup-simplify]: Simplify (* 1 1) into 1 6.292 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.292 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 6.292 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 6.292 * [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))) 6.292 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 6.292 * [taylor]: Taking taylor expansion of 1/4 in J 6.292 * [backup-simplify]: Simplify 1/4 into 1/4 6.292 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 6.292 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.292 * [taylor]: Taking taylor expansion of J in J 6.293 * [backup-simplify]: Simplify 0 into 0 6.293 * [backup-simplify]: Simplify 1 into 1 6.293 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.293 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.293 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.293 * [taylor]: Taking taylor expansion of 1/2 in J 6.293 * [backup-simplify]: Simplify 1/2 into 1/2 6.293 * [taylor]: Taking taylor expansion of K in J 6.293 * [backup-simplify]: Simplify K into K 6.293 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.293 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.293 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.293 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.293 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.293 * [backup-simplify]: Simplify (- 0) into 0 6.293 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.293 * [backup-simplify]: Simplify (* 1 1) into 1 6.293 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.294 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 6.294 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 6.294 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K 6.294 * [taylor]: Taking taylor expansion of 1/4 in K 6.294 * [backup-simplify]: Simplify 1/4 into 1/4 6.294 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 6.294 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.294 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.294 * [taylor]: Taking taylor expansion of 1/2 in K 6.294 * [backup-simplify]: Simplify 1/2 into 1/2 6.294 * [taylor]: Taking taylor expansion of K in K 6.294 * [backup-simplify]: Simplify 0 into 0 6.294 * [backup-simplify]: Simplify 1 into 1 6.294 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.294 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.294 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.294 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 6.294 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 6.295 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.295 * [backup-simplify]: Simplify (+ 0) into 0 6.295 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.295 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.296 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.296 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.296 * [backup-simplify]: Simplify (- 0) into 0 6.296 * [backup-simplify]: Simplify (+ 0 0) into 0 6.296 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.297 * [backup-simplify]: 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 6.298 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 6.298 * [taylor]: Taking taylor expansion of 0 in J 6.298 * [backup-simplify]: Simplify 0 into 0 6.298 * [taylor]: Taking taylor expansion of 0 in K 6.298 * [backup-simplify]: Simplify 0 into 0 6.298 * [backup-simplify]: Simplify 0 into 0 6.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.299 * [backup-simplify]: Simplify (+ 0) into 0 6.299 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.299 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.299 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.300 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.300 * [backup-simplify]: Simplify (- 0) into 0 6.300 * [backup-simplify]: Simplify (+ 0 0) into 0 6.300 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.301 * [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 6.301 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 6.301 * [taylor]: Taking taylor expansion of 0 in K 6.301 * [backup-simplify]: Simplify 0 into 0 6.301 * [backup-simplify]: Simplify 0 into 0 6.301 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.301 * [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 6.301 * [backup-simplify]: Simplify 0 into 0 6.302 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.302 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.303 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.303 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.303 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.303 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.304 * [backup-simplify]: Simplify (- 0) into 0 6.304 * [backup-simplify]: Simplify (+ 0 0) into 0 6.304 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 6.306 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.306 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 6.306 * [taylor]: Taking taylor expansion of 0 in J 6.306 * [backup-simplify]: Simplify 0 into 0 6.306 * [taylor]: Taking taylor expansion of 0 in K 6.306 * [backup-simplify]: Simplify 0 into 0 6.306 * [backup-simplify]: Simplify 0 into 0 6.306 * [taylor]: Taking taylor expansion of 0 in K 6.306 * [backup-simplify]: Simplify 0 into 0 6.306 * [backup-simplify]: Simplify 0 into 0 6.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.307 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.308 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.308 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.308 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.309 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.309 * [backup-simplify]: Simplify (- 0) into 0 6.309 * [backup-simplify]: Simplify (+ 0 0) into 0 6.310 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.310 * [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 6.310 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 6.310 * [taylor]: Taking taylor expansion of 0 in K 6.311 * [backup-simplify]: Simplify 0 into 0 6.311 * [backup-simplify]: Simplify 0 into 0 6.311 * [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)))) 6.311 * [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)))) 6.311 * [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 6.311 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 6.311 * [taylor]: Taking taylor expansion of 1/4 in K 6.311 * [backup-simplify]: Simplify 1/4 into 1/4 6.311 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 6.311 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.311 * [taylor]: Taking taylor expansion of J in K 6.311 * [backup-simplify]: Simplify J into J 6.311 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 6.311 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 6.311 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.311 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.311 * [taylor]: Taking taylor expansion of -1/2 in K 6.311 * [backup-simplify]: Simplify -1/2 into -1/2 6.311 * [taylor]: Taking taylor expansion of K in K 6.311 * [backup-simplify]: Simplify 0 into 0 6.311 * [backup-simplify]: Simplify 1 into 1 6.312 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.312 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.312 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.312 * [taylor]: Taking taylor expansion of U in K 6.312 * [backup-simplify]: Simplify U into U 6.312 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.312 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.312 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.312 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.312 * [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))) 6.312 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 6.312 * [taylor]: Taking taylor expansion of 1/4 in J 6.312 * [backup-simplify]: Simplify 1/4 into 1/4 6.312 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 6.312 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.312 * [taylor]: Taking taylor expansion of J in J 6.312 * [backup-simplify]: Simplify 0 into 0 6.312 * [backup-simplify]: Simplify 1 into 1 6.312 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 6.312 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 6.312 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.312 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.312 * [taylor]: Taking taylor expansion of -1/2 in J 6.312 * [backup-simplify]: Simplify -1/2 into -1/2 6.312 * [taylor]: Taking taylor expansion of K in J 6.312 * [backup-simplify]: Simplify K into K 6.312 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.312 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.313 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.313 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.313 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.317 * [backup-simplify]: Simplify (- 0) into 0 6.317 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.317 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.317 * [taylor]: Taking taylor expansion of U in J 6.317 * [backup-simplify]: Simplify U into U 6.318 * [backup-simplify]: Simplify (* 1 1) into 1 6.318 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.318 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.318 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.318 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.318 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 6.318 * [taylor]: Taking taylor expansion of 1/4 in U 6.318 * [backup-simplify]: Simplify 1/4 into 1/4 6.318 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 6.318 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.318 * [taylor]: Taking taylor expansion of J in U 6.318 * [backup-simplify]: Simplify J into J 6.318 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 6.318 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 6.318 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.318 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.318 * [taylor]: Taking taylor expansion of -1/2 in U 6.318 * [backup-simplify]: Simplify -1/2 into -1/2 6.318 * [taylor]: Taking taylor expansion of K in U 6.318 * [backup-simplify]: Simplify K into K 6.318 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.318 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.318 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.318 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.318 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.319 * [backup-simplify]: Simplify (- 0) into 0 6.319 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.319 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.319 * [taylor]: Taking taylor expansion of U in U 6.319 * [backup-simplify]: Simplify 0 into 0 6.319 * [backup-simplify]: Simplify 1 into 1 6.319 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.319 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.319 * [backup-simplify]: Simplify (* 1 1) into 1 6.319 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 6.319 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 6.319 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 6.319 * [taylor]: Taking taylor expansion of 1/4 in U 6.319 * [backup-simplify]: Simplify 1/4 into 1/4 6.319 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 6.319 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.319 * [taylor]: Taking taylor expansion of J in U 6.319 * [backup-simplify]: Simplify J into J 6.319 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 6.319 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 6.320 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.320 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.320 * [taylor]: Taking taylor expansion of -1/2 in U 6.320 * [backup-simplify]: Simplify -1/2 into -1/2 6.320 * [taylor]: Taking taylor expansion of K in U 6.320 * [backup-simplify]: Simplify K into K 6.320 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.320 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.320 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.320 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.320 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.320 * [backup-simplify]: Simplify (- 0) into 0 6.320 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.320 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.320 * [taylor]: Taking taylor expansion of U in U 6.320 * [backup-simplify]: Simplify 0 into 0 6.320 * [backup-simplify]: Simplify 1 into 1 6.320 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.320 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.321 * [backup-simplify]: Simplify (* 1 1) into 1 6.321 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 6.321 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 6.321 * [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))) 6.321 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 6.321 * [taylor]: Taking taylor expansion of 1/4 in J 6.321 * [backup-simplify]: Simplify 1/4 into 1/4 6.321 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 6.321 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.321 * [taylor]: Taking taylor expansion of J in J 6.321 * [backup-simplify]: Simplify 0 into 0 6.321 * [backup-simplify]: Simplify 1 into 1 6.321 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 6.321 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.321 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.321 * [taylor]: Taking taylor expansion of -1/2 in J 6.321 * [backup-simplify]: Simplify -1/2 into -1/2 6.321 * [taylor]: Taking taylor expansion of K in J 6.321 * [backup-simplify]: Simplify K into K 6.321 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.322 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.322 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.322 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.322 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.322 * [backup-simplify]: Simplify (- 0) into 0 6.322 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.323 * [backup-simplify]: Simplify (* 1 1) into 1 6.323 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.323 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 6.323 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 6.323 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K 6.323 * [taylor]: Taking taylor expansion of 1/4 in K 6.323 * [backup-simplify]: Simplify 1/4 into 1/4 6.323 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 6.323 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.323 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.323 * [taylor]: Taking taylor expansion of -1/2 in K 6.323 * [backup-simplify]: Simplify -1/2 into -1/2 6.323 * [taylor]: Taking taylor expansion of K in K 6.323 * [backup-simplify]: Simplify 0 into 0 6.323 * [backup-simplify]: Simplify 1 into 1 6.324 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.324 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.324 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.324 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 6.324 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 6.324 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.325 * [backup-simplify]: Simplify (+ 0) into 0 6.326 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.326 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.326 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.327 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.327 * [backup-simplify]: Simplify (- 0) into 0 6.328 * [backup-simplify]: Simplify (+ 0 0) into 0 6.328 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.328 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 6.329 * [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))))) into 0 6.329 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 6.329 * [taylor]: Taking taylor expansion of 0 in J 6.329 * [backup-simplify]: Simplify 0 into 0 6.329 * [taylor]: Taking taylor expansion of 0 in K 6.329 * [backup-simplify]: Simplify 0 into 0 6.329 * [backup-simplify]: Simplify 0 into 0 6.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.330 * [backup-simplify]: Simplify (+ 0) into 0 6.331 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.331 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.332 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.332 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.333 * [backup-simplify]: Simplify (- 0) into 0 6.333 * [backup-simplify]: Simplify (+ 0 0) into 0 6.333 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.334 * [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 6.334 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 6.334 * [taylor]: Taking taylor expansion of 0 in K 6.334 * [backup-simplify]: Simplify 0 into 0 6.334 * [backup-simplify]: Simplify 0 into 0 6.335 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.335 * [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 6.335 * [backup-simplify]: Simplify 0 into 0 6.335 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.337 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.338 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.338 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.339 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.340 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.340 * [backup-simplify]: Simplify (- 0) into 0 6.340 * [backup-simplify]: Simplify (+ 0 0) into 0 6.341 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 6.342 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 6.342 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 6.343 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 6.343 * [taylor]: Taking taylor expansion of 0 in J 6.343 * [backup-simplify]: Simplify 0 into 0 6.343 * [taylor]: Taking taylor expansion of 0 in K 6.343 * [backup-simplify]: Simplify 0 into 0 6.343 * [backup-simplify]: Simplify 0 into 0 6.343 * [taylor]: Taking taylor expansion of 0 in K 6.343 * [backup-simplify]: Simplify 0 into 0 6.343 * [backup-simplify]: Simplify 0 into 0 6.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.345 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.346 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.346 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.347 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.348 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.348 * [backup-simplify]: Simplify (- 0) into 0 6.349 * [backup-simplify]: Simplify (+ 0 0) into 0 6.349 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 6.349 * [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 6.350 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 6.350 * [taylor]: Taking taylor expansion of 0 in K 6.350 * [backup-simplify]: Simplify 0 into 0 6.350 * [backup-simplify]: Simplify 0 into 0 6.350 * [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)))) 6.350 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 2 2) 6.350 * [backup-simplify]: Simplify (* (+ J J) (cos (/ K 2))) into (* 2 (* (cos (* 1/2 K)) J)) 6.350 * [approximate]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in (J K) around 0 6.350 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in K 6.350 * [taylor]: Taking taylor expansion of 2 in K 6.350 * [backup-simplify]: Simplify 2 into 2 6.351 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 6.351 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 6.351 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 6.351 * [taylor]: Taking taylor expansion of 1/2 in K 6.351 * [backup-simplify]: Simplify 1/2 into 1/2 6.351 * [taylor]: Taking taylor expansion of K in K 6.351 * [backup-simplify]: Simplify 0 into 0 6.351 * [backup-simplify]: Simplify 1 into 1 6.351 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.351 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.351 * [taylor]: Taking taylor expansion of J in K 6.351 * [backup-simplify]: Simplify J into J 6.351 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J 6.351 * [taylor]: Taking taylor expansion of 2 in J 6.351 * [backup-simplify]: Simplify 2 into 2 6.351 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 6.351 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.351 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.352 * [taylor]: Taking taylor expansion of 1/2 in J 6.352 * [backup-simplify]: Simplify 1/2 into 1/2 6.352 * [taylor]: Taking taylor expansion of K in J 6.352 * [backup-simplify]: Simplify K into K 6.352 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.352 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.352 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.352 * [taylor]: Taking taylor expansion of J in J 6.352 * [backup-simplify]: Simplify 0 into 0 6.352 * [backup-simplify]: Simplify 1 into 1 6.352 * [taylor]: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) J)) in J 6.352 * [taylor]: Taking taylor expansion of 2 in J 6.352 * [backup-simplify]: Simplify 2 into 2 6.352 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 6.352 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.352 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.352 * [taylor]: Taking taylor expansion of 1/2 in J 6.352 * [backup-simplify]: Simplify 1/2 into 1/2 6.352 * [taylor]: Taking taylor expansion of K in J 6.352 * [backup-simplify]: Simplify K into K 6.352 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.352 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.352 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.352 * [taylor]: Taking taylor expansion of J in J 6.352 * [backup-simplify]: Simplify 0 into 0 6.352 * [backup-simplify]: Simplify 1 into 1 6.352 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.352 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.352 * [backup-simplify]: Simplify (- 0) into 0 6.353 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.353 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 6.353 * [backup-simplify]: Simplify (* 2 0) into 0 6.353 * [taylor]: Taking taylor expansion of 0 in K 6.353 * [backup-simplify]: Simplify 0 into 0 6.353 * [backup-simplify]: Simplify 0 into 0 6.353 * [backup-simplify]: Simplify (+ 0) into 0 6.353 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.354 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.354 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.355 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.355 * [backup-simplify]: Simplify (- 0) into 0 6.355 * [backup-simplify]: Simplify (+ 0 0) into 0 6.355 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 6.356 * [backup-simplify]: Simplify (+ (* 2 (cos (* 1/2 K))) (* 0 0)) into (* 2 (cos (* 1/2 K))) 6.356 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 6.356 * [taylor]: Taking taylor expansion of 2 in K 6.356 * [backup-simplify]: Simplify 2 into 2 6.356 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 6.356 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 6.356 * [taylor]: Taking taylor expansion of 1/2 in K 6.356 * [backup-simplify]: Simplify 1/2 into 1/2 6.356 * [taylor]: Taking taylor expansion of K in K 6.356 * [backup-simplify]: Simplify 0 into 0 6.356 * [backup-simplify]: Simplify 1 into 1 6.356 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.357 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.357 * [backup-simplify]: Simplify (* 2 1) into 2 6.357 * [backup-simplify]: Simplify 2 into 2 6.357 * [backup-simplify]: Simplify 0 into 0 6.358 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.358 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.359 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 6.359 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.359 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.360 * [backup-simplify]: Simplify (- 0) into 0 6.360 * [backup-simplify]: Simplify (+ 0 0) into 0 6.360 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 6.361 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 6.361 * [taylor]: Taking taylor expansion of 0 in K 6.361 * [backup-simplify]: Simplify 0 into 0 6.361 * [backup-simplify]: Simplify 0 into 0 6.361 * [backup-simplify]: Simplify (+ 0) into 0 6.362 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.362 * [backup-simplify]: Simplify 0 into 0 6.362 * [backup-simplify]: Simplify 0 into 0 6.362 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.363 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.364 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 6.365 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.365 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.365 * [backup-simplify]: Simplify (- 0) into 0 6.366 * [backup-simplify]: Simplify (+ 0 0) into 0 6.366 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.367 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0)))) into 0 6.367 * [taylor]: Taking taylor expansion of 0 in K 6.367 * [backup-simplify]: Simplify 0 into 0 6.367 * [backup-simplify]: Simplify 0 into 0 6.367 * [backup-simplify]: Simplify 0 into 0 6.367 * [backup-simplify]: Simplify (* 2 (* 1 J)) into (* 2 J) 6.367 * [backup-simplify]: Simplify (* (+ (/ 1 J) (/ 1 J)) (cos (/ (/ 1 K) 2))) into (* 2 (/ (cos (/ 1/2 K)) J)) 6.367 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in (J K) around 0 6.367 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in K 6.367 * [taylor]: Taking taylor expansion of 2 in K 6.367 * [backup-simplify]: Simplify 2 into 2 6.367 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 6.367 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.367 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.367 * [taylor]: Taking taylor expansion of 1/2 in K 6.367 * [backup-simplify]: Simplify 1/2 into 1/2 6.367 * [taylor]: Taking taylor expansion of K in K 6.367 * [backup-simplify]: Simplify 0 into 0 6.367 * [backup-simplify]: Simplify 1 into 1 6.368 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.368 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.368 * [taylor]: Taking taylor expansion of J in K 6.368 * [backup-simplify]: Simplify J into J 6.368 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 6.368 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 6.368 * [taylor]: Taking taylor expansion of 2 in J 6.368 * [backup-simplify]: Simplify 2 into 2 6.368 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 6.368 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.368 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.368 * [taylor]: Taking taylor expansion of 1/2 in J 6.368 * [backup-simplify]: Simplify 1/2 into 1/2 6.368 * [taylor]: Taking taylor expansion of K in J 6.368 * [backup-simplify]: Simplify K into K 6.368 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.368 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.368 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.369 * [taylor]: Taking taylor expansion of J in J 6.369 * [backup-simplify]: Simplify 0 into 0 6.369 * [backup-simplify]: Simplify 1 into 1 6.369 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.369 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.369 * [backup-simplify]: Simplify (- 0) into 0 6.369 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.369 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.369 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ 1/2 K)) J)) in J 6.369 * [taylor]: Taking taylor expansion of 2 in J 6.369 * [backup-simplify]: Simplify 2 into 2 6.369 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 6.369 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.369 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.369 * [taylor]: Taking taylor expansion of 1/2 in J 6.369 * [backup-simplify]: Simplify 1/2 into 1/2 6.369 * [taylor]: Taking taylor expansion of K in J 6.369 * [backup-simplify]: Simplify K into K 6.369 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.369 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.369 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.369 * [taylor]: Taking taylor expansion of J in J 6.369 * [backup-simplify]: Simplify 0 into 0 6.369 * [backup-simplify]: Simplify 1 into 1 6.369 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.370 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.370 * [backup-simplify]: Simplify (- 0) into 0 6.370 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.370 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.370 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 6.370 * [taylor]: Taking taylor expansion of (* 2 (cos (/ 1/2 K))) in K 6.370 * [taylor]: Taking taylor expansion of 2 in K 6.370 * [backup-simplify]: Simplify 2 into 2 6.370 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.370 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.370 * [taylor]: Taking taylor expansion of 1/2 in K 6.370 * [backup-simplify]: Simplify 1/2 into 1/2 6.370 * [taylor]: Taking taylor expansion of K in K 6.370 * [backup-simplify]: Simplify 0 into 0 6.370 * [backup-simplify]: Simplify 1 into 1 6.370 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.371 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.371 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 6.371 * [backup-simplify]: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) 6.371 * [backup-simplify]: Simplify (+ 0) into 0 6.371 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.371 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.372 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.372 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.372 * [backup-simplify]: Simplify (- 0) into 0 6.373 * [backup-simplify]: Simplify (+ 0 0) into 0 6.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 6.374 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 6.374 * [taylor]: Taking taylor expansion of 0 in K 6.374 * [backup-simplify]: Simplify 0 into 0 6.374 * [backup-simplify]: Simplify 0 into 0 6.374 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 6.374 * [backup-simplify]: Simplify 0 into 0 6.375 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.375 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.375 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.376 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.376 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.376 * [backup-simplify]: Simplify (- 0) into 0 6.377 * [backup-simplify]: Simplify (+ 0 0) into 0 6.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.379 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.379 * [taylor]: Taking taylor expansion of 0 in K 6.379 * [backup-simplify]: Simplify 0 into 0 6.379 * [backup-simplify]: Simplify 0 into 0 6.379 * [backup-simplify]: Simplify 0 into 0 6.380 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.380 * [backup-simplify]: Simplify 0 into 0 6.381 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.382 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.382 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.384 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.385 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.385 * [backup-simplify]: Simplify (- 0) into 0 6.385 * [backup-simplify]: Simplify (+ 0 0) into 0 6.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.388 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 6.388 * [taylor]: Taking taylor expansion of 0 in K 6.388 * [backup-simplify]: Simplify 0 into 0 6.388 * [backup-simplify]: Simplify 0 into 0 6.388 * [backup-simplify]: Simplify (* (* 2 (cos (/ 1/2 (/ 1 K)))) (* 1 (/ 1 (/ 1 J)))) into (* 2 (* (cos (* 1/2 K)) J)) 6.389 * [backup-simplify]: Simplify (* (+ (/ 1 (- J)) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) into (* -2 (/ (cos (/ -1/2 K)) J)) 6.389 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in (J K) around 0 6.389 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in K 6.389 * [taylor]: Taking taylor expansion of -2 in K 6.389 * [backup-simplify]: Simplify -2 into -2 6.389 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 6.389 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.389 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.389 * [taylor]: Taking taylor expansion of -1/2 in K 6.389 * [backup-simplify]: Simplify -1/2 into -1/2 6.389 * [taylor]: Taking taylor expansion of K in K 6.389 * [backup-simplify]: Simplify 0 into 0 6.389 * [backup-simplify]: Simplify 1 into 1 6.389 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.390 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.390 * [taylor]: Taking taylor expansion of J in K 6.390 * [backup-simplify]: Simplify J into J 6.390 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 6.390 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 6.390 * [taylor]: Taking taylor expansion of -2 in J 6.390 * [backup-simplify]: Simplify -2 into -2 6.390 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 6.390 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.390 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.390 * [taylor]: Taking taylor expansion of -1/2 in J 6.390 * [backup-simplify]: Simplify -1/2 into -1/2 6.390 * [taylor]: Taking taylor expansion of K in J 6.390 * [backup-simplify]: Simplify K into K 6.390 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.390 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.390 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.390 * [taylor]: Taking taylor expansion of J in J 6.390 * [backup-simplify]: Simplify 0 into 0 6.390 * [backup-simplify]: Simplify 1 into 1 6.390 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.390 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.391 * [backup-simplify]: Simplify (- 0) into 0 6.391 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.391 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.391 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ -1/2 K)) J)) in J 6.391 * [taylor]: Taking taylor expansion of -2 in J 6.391 * [backup-simplify]: Simplify -2 into -2 6.391 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 6.391 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.391 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.391 * [taylor]: Taking taylor expansion of -1/2 in J 6.391 * [backup-simplify]: Simplify -1/2 into -1/2 6.391 * [taylor]: Taking taylor expansion of K in J 6.391 * [backup-simplify]: Simplify K into K 6.391 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.391 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.391 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.391 * [taylor]: Taking taylor expansion of J in J 6.391 * [backup-simplify]: Simplify 0 into 0 6.391 * [backup-simplify]: Simplify 1 into 1 6.391 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.391 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.392 * [backup-simplify]: Simplify (- 0) into 0 6.392 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.392 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.392 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 6.392 * [taylor]: Taking taylor expansion of (* -2 (cos (/ -1/2 K))) in K 6.392 * [taylor]: Taking taylor expansion of -2 in K 6.392 * [backup-simplify]: Simplify -2 into -2 6.392 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.392 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.392 * [taylor]: Taking taylor expansion of -1/2 in K 6.392 * [backup-simplify]: Simplify -1/2 into -1/2 6.392 * [taylor]: Taking taylor expansion of K in K 6.392 * [backup-simplify]: Simplify 0 into 0 6.392 * [backup-simplify]: Simplify 1 into 1 6.393 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.393 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.393 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 6.393 * [backup-simplify]: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) 6.393 * [backup-simplify]: Simplify (+ 0) into 0 6.394 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.394 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.395 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.395 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.395 * [backup-simplify]: Simplify (- 0) into 0 6.396 * [backup-simplify]: Simplify (+ 0 0) into 0 6.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 6.397 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 6.397 * [taylor]: Taking taylor expansion of 0 in K 6.397 * [backup-simplify]: Simplify 0 into 0 6.397 * [backup-simplify]: Simplify 0 into 0 6.398 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 6.398 * [backup-simplify]: Simplify 0 into 0 6.399 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.399 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.399 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.400 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.401 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.401 * [backup-simplify]: Simplify (- 0) into 0 6.401 * [backup-simplify]: Simplify (+ 0 0) into 0 6.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.403 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 6.403 * [taylor]: Taking taylor expansion of 0 in K 6.403 * [backup-simplify]: Simplify 0 into 0 6.403 * [backup-simplify]: Simplify 0 into 0 6.404 * [backup-simplify]: Simplify 0 into 0 6.404 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 6.404 * [backup-simplify]: Simplify 0 into 0 6.405 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.406 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.406 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.408 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.408 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.409 * [backup-simplify]: Simplify (- 0) into 0 6.409 * [backup-simplify]: Simplify (+ 0 0) into 0 6.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.412 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 6.412 * [taylor]: Taking taylor expansion of 0 in K 6.412 * [backup-simplify]: Simplify 0 into 0 6.412 * [backup-simplify]: Simplify 0 into 0 6.412 * [backup-simplify]: Simplify (* (* -2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (/ 1 (/ 1 (- J))))) into (* 2 (* (cos (* 1/2 K)) J)) 6.413 * * * [progress]: simplifying candidates 6.413 * * * * [progress]: [ 1 / 145 ] simplifiying candidate # 6.413 * * * * [progress]: [ 2 / 145 ] simplifiying candidate # 6.413 * * * * [progress]: [ 3 / 145 ] simplifiying candidate # 6.413 * * * * [progress]: [ 4 / 145 ] simplifiying candidate # 6.413 * * * * [progress]: [ 5 / 145 ] simplifiying candidate # 6.413 * * * * [progress]: [ 6 / 145 ] simplifiying candidate # 6.413 * * * * [progress]: [ 7 / 145 ] simplifiying candidate # 6.413 * * * * [progress]: [ 8 / 145 ] simplifiying candidate # 6.413 * * * * [progress]: [ 9 / 145 ] simplifiying candidate # 6.413 * * * * [progress]: [ 10 / 145 ] simplifiying candidate # 6.413 * * * * [progress]: [ 11 / 145 ] simplifiying candidate # 6.414 * * * * [progress]: [ 12 / 145 ] simplifiying candidate # 6.414 * * * * [progress]: [ 13 / 145 ] simplifiying candidate # 6.414 * * * * [progress]: [ 14 / 145 ] simplifiying candidate # 6.414 * * * * [progress]: [ 15 / 145 ] simplifiying candidate # 6.414 * * * * [progress]: [ 16 / 145 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (cos (/ K 2))) (* -2 J)))> 6.414 * * * * [progress]: [ 17 / 145 ] simplifiying candidate # 6.414 * * * * [progress]: [ 18 / 145 ] simplifiying candidate # 6.414 * * * * [progress]: [ 19 / 145 ] simplifiying candidate # 6.414 * * * * [progress]: [ 20 / 145 ] simplifiying candidate # 6.414 * * * * [progress]: [ 21 / 145 ] simplifiying candidate # 6.414 * * * * [progress]: [ 22 / 145 ] simplifiying candidate # 6.414 * * * * [progress]: [ 23 / 145 ] simplifiying candidate # 6.414 * * * * [progress]: [ 24 / 145 ] simplifiying candidate # 6.415 * * * * [progress]: [ 25 / 145 ] simplifiying candidate # 6.415 * * * * [progress]: [ 26 / 145 ] simplifiying candidate # 6.415 * * * * [progress]: [ 27 / 145 ] simplifiying candidate # 6.415 * * * * [progress]: [ 28 / 145 ] simplifiying candidate # 6.415 * * * * [progress]: [ 29 / 145 ] simplifiying candidate # 6.415 * * * * [progress]: [ 30 / 145 ] simplifiying candidate # 6.415 * * * * [progress]: [ 31 / 145 ] simplifiying candidate # 6.415 * * * * [progress]: [ 32 / 145 ] simplifiying candidate # 6.415 * * * * [progress]: [ 33 / 145 ] simplifiying candidate # 6.415 * * * * [progress]: [ 34 / 145 ] simplifiying candidate # 6.415 * * * * [progress]: [ 35 / 145 ] simplifiying candidate # 6.415 * * * * [progress]: [ 36 / 145 ] simplifiying candidate # 6.415 * * * * [progress]: [ 37 / 145 ] simplifiying candidate # 6.416 * * * * [progress]: [ 38 / 145 ] simplifiying candidate # 6.416 * * * * [progress]: [ 39 / 145 ] simplifiying candidate # 6.416 * * * * [progress]: [ 40 / 145 ] simplifiying candidate #real (real->posit16 (* (* (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)))))> 6.416 * * * * [progress]: [ 41 / 145 ] simplifiying candidate # 6.416 * * * * [progress]: [ 42 / 145 ] simplifiying candidate # 6.416 * * * * [progress]: [ 43 / 145 ] simplifiying candidate # 6.416 * * * * [progress]: [ 44 / 145 ] simplifiying candidate # 6.416 * * * * [progress]: [ 45 / 145 ] simplifiying candidate # 6.416 * * * * [progress]: [ 46 / 145 ] simplifiying candidate # 6.416 * * * * [progress]: [ 47 / 145 ] simplifiying candidate # 6.416 * * * * [progress]: [ 48 / 145 ] simplifiying candidate # 6.416 * * * * [progress]: [ 49 / 145 ] simplifiying candidate # 6.416 * * * * [progress]: [ 50 / 145 ] simplifiying candidate # 6.417 * * * * [progress]: [ 51 / 145 ] simplifiying candidate # 6.417 * * * * [progress]: [ 52 / 145 ] simplifiying candidate # 6.417 * * * * [progress]: [ 53 / 145 ] simplifiying candidate # 6.417 * * * * [progress]: [ 54 / 145 ] simplifiying candidate # 6.417 * * * * [progress]: [ 55 / 145 ] simplifiying candidate # 6.417 * * * * [progress]: [ 56 / 145 ] simplifiying candidate # 6.417 * * * * [progress]: [ 57 / 145 ] simplifiying candidate # 6.417 * * * * [progress]: [ 58 / 145 ] simplifiying candidate # 6.417 * * * * [progress]: [ 59 / 145 ] simplifiying candidate # 6.417 * * * * [progress]: [ 60 / 145 ] simplifiying candidate # 6.417 * * * * [progress]: [ 61 / 145 ] simplifiying candidate # 6.417 * * * * [progress]: [ 62 / 145 ] simplifiying candidate # 6.418 * * * * [progress]: [ 63 / 145 ] simplifiying candidate # 6.418 * * * * [progress]: [ 64 / 145 ] simplifiying candidate # 6.418 * * * * [progress]: [ 65 / 145 ] simplifiying candidate # 6.418 * * * * [progress]: [ 66 / 145 ] simplifiying candidate # 6.418 * * * * [progress]: [ 67 / 145 ] simplifiying candidate # 6.418 * * * * [progress]: [ 68 / 145 ] simplifiying candidate # 6.418 * * * * [progress]: [ 69 / 145 ] simplifiying candidate # 6.418 * * * * [progress]: [ 70 / 145 ] simplifiying candidate # 6.418 * * * * [progress]: [ 71 / 145 ] simplifiying candidate # 6.418 * * * * [progress]: [ 72 / 145 ] simplifiying candidate # 6.418 * * * * [progress]: [ 73 / 145 ] simplifiying candidate # 6.418 * * * * [progress]: [ 74 / 145 ] simplifiying candidate # 6.419 * * * * [progress]: [ 75 / 145 ] simplifiying candidate # 6.419 * * * * [progress]: [ 76 / 145 ] simplifiying candidate # 6.419 * * * * [progress]: [ 77 / 145 ] simplifiying candidate # 6.419 * * * * [progress]: [ 78 / 145 ] simplifiying candidate # 6.419 * * * * [progress]: [ 79 / 145 ] simplifiying candidate # 6.419 * * * * [progress]: [ 80 / 145 ] simplifiying candidate # 6.419 * * * * [progress]: [ 81 / 145 ] simplifiying candidate # 6.419 * * * * [progress]: [ 82 / 145 ] simplifiying candidate # 6.419 * * * * [progress]: [ 83 / 145 ] simplifiying candidate # 6.420 * * * * [progress]: [ 84 / 145 ] simplifiying candidate # 6.420 * * * * [progress]: [ 85 / 145 ] simplifiying candidate # 6.420 * * * * [progress]: [ 86 / 145 ] simplifiying candidate # 6.420 * * * * [progress]: [ 87 / 145 ] simplifiying candidate # 6.420 * * * * [progress]: [ 88 / 145 ] simplifiying candidate # 6.420 * * * * [progress]: [ 89 / 145 ] simplifiying candidate # 6.420 * * * * [progress]: [ 90 / 145 ] simplifiying candidate # 6.420 * * * * [progress]: [ 91 / 145 ] simplifiying candidate # 6.420 * * * * [progress]: [ 92 / 145 ] simplifiying candidate # 6.420 * * * * [progress]: [ 93 / 145 ] simplifiying candidate # 6.420 * * * * [progress]: [ 94 / 145 ] simplifiying candidate # 6.420 * * * * [progress]: [ 95 / 145 ] simplifiying candidate # 6.420 * * * * [progress]: [ 96 / 145 ] simplifiying candidate # 6.420 * * * * [progress]: [ 97 / 145 ] simplifiying candidate # 6.421 * * * * [progress]: [ 98 / 145 ] simplifiying candidate # 6.421 * * * * [progress]: [ 99 / 145 ] simplifiying candidate # 6.421 * * * * [progress]: [ 100 / 145 ] simplifiying candidate # 6.421 * * * * [progress]: [ 101 / 145 ] simplifiying candidate # 6.421 * * * * [progress]: [ 102 / 145 ] simplifiying candidate # 6.421 * * * * [progress]: [ 103 / 145 ] simplifiying candidate #real (real->posit16 (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))> 6.421 * * * * [progress]: [ 104 / 145 ] simplifiying candidate # 6.421 * * * * [progress]: [ 105 / 145 ] simplifiying candidate # 6.421 * * * * [progress]: [ 106 / 145 ] simplifiying candidate # 6.421 * * * * [progress]: [ 107 / 145 ] simplifiying candidate # 6.421 * * * * [progress]: [ 108 / 145 ] simplifiying candidate # 6.421 * * * * [progress]: [ 109 / 145 ] simplifiying candidate # 6.421 * * * * [progress]: [ 110 / 145 ] simplifiying candidate # 6.422 * * * * [progress]: [ 111 / 145 ] simplifiying candidate # 6.422 * * * * [progress]: [ 112 / 145 ] simplifiying candidate # 6.422 * * * * [progress]: [ 113 / 145 ] simplifiying candidate # 6.422 * * * * [progress]: [ 114 / 145 ] simplifiying candidate # 6.422 * * * * [progress]: [ 115 / 145 ] simplifiying candidate # 6.422 * * * * [progress]: [ 116 / 145 ] simplifiying candidate # 6.422 * * * * [progress]: [ 117 / 145 ] simplifiying candidate # 6.422 * * * * [progress]: [ 118 / 145 ] simplifiying candidate # 6.422 * * * * [progress]: [ 119 / 145 ] simplifiying candidate # 6.422 * * * * [progress]: [ 120 / 145 ] simplifiying candidate # 6.422 * * * * [progress]: [ 121 / 145 ] simplifiying candidate # 6.422 * * * * [progress]: [ 122 / 145 ] simplifiying candidate # 6.422 * * * * [progress]: [ 123 / 145 ] simplifiying candidate # 6.423 * * * * [progress]: [ 124 / 145 ] simplifiying candidate # 6.423 * * * * [progress]: [ 125 / 145 ] simplifiying candidate # 6.423 * * * * [progress]: [ 126 / 145 ] simplifiying candidate # 6.423 * * * * [progress]: [ 127 / 145 ] simplifiying candidate # 6.423 * * * * [progress]: [ 128 / 145 ] simplifiying candidate # 6.423 * * * * [progress]: [ 129 / 145 ] simplifiying candidate # 6.423 * * * * [progress]: [ 130 / 145 ] simplifiying candidate # 6.423 * * * * [progress]: [ 131 / 145 ] simplifiying candidate # 6.423 * * * * [progress]: [ 132 / 145 ] simplifiying candidate #real (real->posit16 (* (+ J J) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))> 6.423 * * * * [progress]: [ 133 / 145 ] simplifiying candidate # 6.423 * * * * [progress]: [ 134 / 145 ] simplifiying candidate # 6.423 * * * * [progress]: [ 135 / 145 ] simplifiying candidate # 6.423 * * * * [progress]: [ 136 / 145 ] simplifiying candidate # 6.423 * * * * [progress]: [ 137 / 145 ] simplifiying candidate # 6.424 * * * * [progress]: [ 138 / 145 ] simplifiying candidate # 6.424 * * * * [progress]: [ 139 / 145 ] simplifiying candidate # 6.424 * * * * [progress]: [ 140 / 145 ] simplifiying candidate # 6.424 * * * * [progress]: [ 141 / 145 ] simplifiying candidate # 6.424 * * * * [progress]: [ 142 / 145 ] simplifiying candidate # 6.424 * * * * [progress]: [ 143 / 145 ] simplifiying candidate # 6.424 * * * * [progress]: [ 144 / 145 ] simplifiying candidate # 6.424 * * * * [progress]: [ 145 / 145 ] simplifiying candidate # 6.427 * [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 (+ (* (/ 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(/ 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) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)), (* (* (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)), (* (* (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)), (* (* (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (cos (/ K 2))) (* -2 J)), (+ 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916 inf + 36619 7.125 * * [simplify]: Extracting #5: cost 714 inf + 87748 7.196 * * [simplify]: Extracting #6: cost 329 inf + 217951 7.313 * * [simplify]: Extracting #7: cost 91 inf + 321312 7.420 * * [simplify]: Extracting #8: cost 3 inf + 363926 7.543 * * [simplify]: Extracting #9: cost 0 inf + 364912 7.671 * [simplify]: Simplified to (log (sqrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))), (exp (sqrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))), (* (cbrt (sqrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))) (cbrt (sqrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))))))), (cbrt (sqrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))), (* (sqrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))))) (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))))), (fabs (cbrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ 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(cbrt (* (cos (/ K 2)) (+ J J)))), (cbrt (* (cos (/ K 2)) (+ J J))), (* (* (cos (/ K 2)) (+ J J)) (* (* (cos (/ K 2)) (+ J J)) (* (cos (/ K 2)) (+ J J)))), (sqrt (* (cos (/ K 2)) (+ J J))), (sqrt (* (cos (/ K 2)) (+ J J))), (* (sqrt (cos (/ K 2))) (sqrt (+ J J))), (* (sqrt (cos (/ K 2))) (sqrt (+ J J))), (+ (* J (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* J (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))), (* (+ J J) (sqrt (cos (/ K 2)))), (+ J J), (* (cos (/ K 2)) (cbrt (+ J J))), (* (sqrt (+ J J)) (cos (/ K 2))), (* (cos (/ K 2)) (+ J J)), (+ (* (cos (/ K 2)) (cbrt J)) (* (cos (/ K 2)) (cbrt J))), (* (cos (/ K 2)) (+ (sqrt J) (sqrt J))), (* (cos (/ K 2)) (+ J J)), (* (+ (* (cbrt J) (cbrt J)) (* (cbrt J) (cbrt J))) (cos (/ K 2))), (* (cos (/ K 2)) (+ (sqrt J) (sqrt J))), (* (cos (/ K 2)) 2), (* (cos (/ K 2)) J), (* (cos (/ K 2)) J), (* (+ (* (* J J) J) (* (* J J) J)) (cos (/ K 2))), 0, (real->posit16 (* (cos (/ K 2)) (+ J J))), 1, (/ (* 1/2 U) (* (cos (* 1/2 K)) J)), (/ (* 1/2 U) (* (cos (* 1/2 K)) J)), (- (* J -2) (/ (* 1/4 (* U U)) J)), (- U), (- U), (+ (* (/ K (/ (* (/ J U) (/ J U)) K)) 1/16) (* (* (/ U J) (/ U J)) 1/4)), (/ (* 1/4 (* U U)) (* (* (cos (* 1/2 K)) J) (* (cos (* 1/2 K)) J))), (/ (* 1/4 (* U U)) (* (* (cos (* 1/2 K)) J) (* (cos (* 1/2 K)) J))), (* J 2), (* (cos (* 1/2 K)) (* J 2)), (* (cos (* 1/2 K)) (* J 2)) 7.685 * * * [progress]: adding candidates to table 9.421 * * [progress]: iteration 3 / 4 9.421 * * * [progress]: picking best candidate 9.475 * * * * [pick]: Picked # 9.475 * * * [progress]: localizing error 9.522 * * * [progress]: generating rewritten candidates 9.522 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 9.608 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 9.678 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 9.773 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 9.858 * * * [progress]: generating series expansions 9.859 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 9.859 * [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)) 9.859 * [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 9.859 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 9.859 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 9.859 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 9.859 * [taylor]: Taking taylor expansion of 1/4 in K 9.859 * [backup-simplify]: Simplify 1/4 into 1/4 9.859 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 9.859 * [taylor]: Taking taylor expansion of (pow U 2) in K 9.859 * [taylor]: Taking taylor expansion of U in K 9.859 * [backup-simplify]: Simplify U into U 9.859 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 9.859 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 9.859 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 9.859 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 9.859 * [taylor]: Taking taylor expansion of 1/2 in K 9.859 * [backup-simplify]: Simplify 1/2 into 1/2 9.860 * [taylor]: Taking taylor expansion of K in K 9.860 * [backup-simplify]: Simplify 0 into 0 9.860 * [backup-simplify]: Simplify 1 into 1 9.860 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.861 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.861 * [taylor]: Taking taylor expansion of (pow J 2) in K 9.861 * [taylor]: Taking taylor expansion of J in K 9.861 * [backup-simplify]: Simplify J into J 9.861 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.861 * [backup-simplify]: Simplify (* 1 1) into 1 9.861 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.862 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 9.862 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 9.862 * [taylor]: Taking taylor expansion of 1 in K 9.862 * [backup-simplify]: Simplify 1 into 1 9.862 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 9.862 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 9.862 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 9.862 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 9.863 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.863 * [backup-simplify]: Simplify (+ 0) into 0 9.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 9.865 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 9.865 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 9.866 * [backup-simplify]: Simplify (+ 0 0) into 0 9.866 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 9.866 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 9.866 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 9.866 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 9.866 * [taylor]: Taking taylor expansion of 1/4 in J 9.866 * [backup-simplify]: Simplify 1/4 into 1/4 9.866 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 9.866 * [taylor]: Taking taylor expansion of (pow U 2) in J 9.867 * [taylor]: Taking taylor expansion of U in J 9.867 * [backup-simplify]: Simplify U into U 9.867 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 9.867 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 9.867 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 9.867 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 9.867 * [taylor]: Taking taylor expansion of 1/2 in J 9.867 * [backup-simplify]: Simplify 1/2 into 1/2 9.867 * [taylor]: Taking taylor expansion of K in J 9.867 * [backup-simplify]: Simplify K into K 9.867 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.867 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.867 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.867 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.867 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.868 * [backup-simplify]: Simplify (- 0) into 0 9.868 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.868 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.868 * [taylor]: Taking taylor expansion of J in J 9.868 * [backup-simplify]: Simplify 0 into 0 9.868 * [backup-simplify]: Simplify 1 into 1 9.868 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.868 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 9.868 * [backup-simplify]: Simplify (* 1 1) into 1 9.868 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 9.869 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 9.869 * [taylor]: Taking taylor expansion of 1 in J 9.869 * [backup-simplify]: Simplify 1 into 1 9.869 * [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))) 9.869 * [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))) 9.869 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 9.870 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 9.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.871 * [backup-simplify]: Simplify (+ 0) into 0 9.871 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 9.872 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 9.872 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.873 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 9.873 * [backup-simplify]: Simplify (- 0) into 0 9.874 * [backup-simplify]: Simplify (+ 0 0) into 0 9.874 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 9.874 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 9.875 * [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 9.875 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 9.876 * [backup-simplify]: Simplify (+ 0 0) into 0 9.876 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 9.876 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 9.876 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 9.876 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 9.876 * [taylor]: Taking taylor expansion of 1/4 in U 9.876 * [backup-simplify]: Simplify 1/4 into 1/4 9.876 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 9.876 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.876 * [taylor]: Taking taylor expansion of U in U 9.876 * [backup-simplify]: Simplify 0 into 0 9.876 * [backup-simplify]: Simplify 1 into 1 9.876 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 9.876 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 9.876 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 9.876 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 9.876 * [taylor]: Taking taylor expansion of 1/2 in U 9.877 * [backup-simplify]: Simplify 1/2 into 1/2 9.877 * [taylor]: Taking taylor expansion of K in U 9.877 * [backup-simplify]: Simplify K into K 9.877 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.877 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.877 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.877 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.877 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.877 * [backup-simplify]: Simplify (- 0) into 0 9.877 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.877 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.878 * [taylor]: Taking taylor expansion of J in U 9.878 * [backup-simplify]: Simplify J into J 9.878 * [backup-simplify]: Simplify (* 1 1) into 1 9.878 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 9.878 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.878 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 9.878 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 9.879 * [taylor]: Taking taylor expansion of 1 in U 9.879 * [backup-simplify]: Simplify 1 into 1 9.879 * [backup-simplify]: Simplify (+ 0 1) into 1 9.879 * [backup-simplify]: Simplify (sqrt 1) into 1 9.880 * [backup-simplify]: Simplify (+ 0 0) into 0 9.881 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.881 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 9.881 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 9.881 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 9.881 * [taylor]: Taking taylor expansion of 1/4 in U 9.881 * [backup-simplify]: Simplify 1/4 into 1/4 9.881 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 9.881 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.881 * [taylor]: Taking taylor expansion of U in U 9.881 * [backup-simplify]: Simplify 0 into 0 9.881 * [backup-simplify]: Simplify 1 into 1 9.881 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 9.881 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 9.881 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 9.881 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 9.881 * [taylor]: Taking taylor expansion of 1/2 in U 9.881 * [backup-simplify]: Simplify 1/2 into 1/2 9.881 * [taylor]: Taking taylor expansion of K in U 9.881 * [backup-simplify]: Simplify K into K 9.881 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.881 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.881 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.881 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.881 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.881 * [backup-simplify]: Simplify (- 0) into 0 9.882 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.882 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.882 * [taylor]: Taking taylor expansion of J in U 9.882 * [backup-simplify]: Simplify J into J 9.882 * [backup-simplify]: Simplify (* 1 1) into 1 9.882 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 9.882 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.882 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 9.882 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 9.882 * [taylor]: Taking taylor expansion of 1 in U 9.882 * [backup-simplify]: Simplify 1 into 1 9.882 * [backup-simplify]: Simplify (+ 0 1) into 1 9.885 * [backup-simplify]: Simplify (sqrt 1) into 1 9.885 * [backup-simplify]: Simplify (+ 0 0) into 0 9.885 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.885 * [taylor]: Taking taylor expansion of 1 in J 9.885 * [backup-simplify]: Simplify 1 into 1 9.885 * [taylor]: Taking taylor expansion of 0 in J 9.886 * [backup-simplify]: Simplify 0 into 0 9.886 * [taylor]: Taking taylor expansion of 1 in K 9.886 * [backup-simplify]: Simplify 1 into 1 9.886 * [backup-simplify]: Simplify 1 into 1 9.886 * [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))) 9.886 * [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)))) 9.887 * [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))) 9.887 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 9.887 * [taylor]: Taking taylor expansion of 1/8 in J 9.887 * [backup-simplify]: Simplify 1/8 into 1/8 9.887 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 9.887 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 9.887 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 9.887 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 9.887 * [taylor]: Taking taylor expansion of 1/2 in J 9.887 * [backup-simplify]: Simplify 1/2 into 1/2 9.887 * [taylor]: Taking taylor expansion of K in J 9.887 * [backup-simplify]: Simplify K into K 9.887 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.887 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.887 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.887 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.887 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.887 * [backup-simplify]: Simplify (- 0) into 0 9.887 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.888 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.888 * [taylor]: Taking taylor expansion of J in J 9.888 * [backup-simplify]: Simplify 0 into 0 9.888 * [backup-simplify]: Simplify 1 into 1 9.888 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 9.888 * [backup-simplify]: Simplify (* 1 1) into 1 9.888 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 9.888 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 9.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.889 * [backup-simplify]: Simplify (+ 0) into 0 9.889 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 9.889 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 9.890 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.890 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 9.890 * [backup-simplify]: Simplify (- 0) into 0 9.891 * [backup-simplify]: Simplify (+ 0 0) into 0 9.891 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 9.891 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 9.891 * [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 9.891 * [taylor]: Taking taylor expansion of 0 in K 9.891 * [backup-simplify]: Simplify 0 into 0 9.891 * [backup-simplify]: Simplify 0 into 0 9.891 * [taylor]: Taking taylor expansion of 0 in K 9.891 * [backup-simplify]: Simplify 0 into 0 9.891 * [backup-simplify]: Simplify 0 into 0 9.891 * [taylor]: Taking taylor expansion of 0 in K 9.891 * [backup-simplify]: Simplify 0 into 0 9.891 * [backup-simplify]: Simplify 0 into 0 9.891 * [backup-simplify]: Simplify 0 into 0 9.892 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.892 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.892 * [backup-simplify]: Simplify (+ 0) into 0 9.892 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 9.893 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 9.893 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.894 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 9.894 * [backup-simplify]: Simplify (- 0) into 0 9.894 * [backup-simplify]: Simplify (+ 0 0) into 0 9.894 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 9.894 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 9.895 * [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 9.895 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 9.895 * [backup-simplify]: Simplify (+ 0 0) into 0 9.896 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 9.896 * [taylor]: Taking taylor expansion of 0 in J 9.896 * [backup-simplify]: Simplify 0 into 0 9.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.897 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.897 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.898 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 9.898 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.899 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.899 * [backup-simplify]: Simplify (- 0) into 0 9.899 * [backup-simplify]: Simplify (+ 0 0) into 0 9.899 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 9.900 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 9.900 * [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 9.900 * [taylor]: Taking taylor expansion of 0 in K 9.900 * [backup-simplify]: Simplify 0 into 0 9.900 * [backup-simplify]: Simplify 0 into 0 9.900 * [taylor]: Taking taylor expansion of 0 in K 9.900 * [backup-simplify]: Simplify 0 into 0 9.900 * [backup-simplify]: Simplify 0 into 0 9.900 * [backup-simplify]: Simplify 1 into 1 9.901 * [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)) 9.901 * [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 9.901 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 9.901 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 9.901 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 9.901 * [taylor]: Taking taylor expansion of 1/4 in K 9.901 * [backup-simplify]: Simplify 1/4 into 1/4 9.901 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 9.901 * [taylor]: Taking taylor expansion of (pow J 2) in K 9.901 * [taylor]: Taking taylor expansion of J in K 9.901 * [backup-simplify]: Simplify J into J 9.901 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 9.901 * [taylor]: Taking taylor expansion of (pow U 2) in K 9.901 * [taylor]: Taking taylor expansion of U in K 9.901 * [backup-simplify]: Simplify U into U 9.901 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 9.901 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 9.901 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 9.901 * [taylor]: Taking taylor expansion of 1/2 in K 9.901 * [backup-simplify]: Simplify 1/2 into 1/2 9.901 * [taylor]: Taking taylor expansion of K in K 9.901 * [backup-simplify]: Simplify 0 into 0 9.901 * [backup-simplify]: Simplify 1 into 1 9.901 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.901 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.901 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.901 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.901 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.902 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 9.902 * [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))) 9.902 * [taylor]: Taking taylor expansion of 1 in K 9.902 * [backup-simplify]: Simplify 1 into 1 9.902 * [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)))) 9.902 * [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) 9.902 * [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)) 9.902 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.902 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 9.903 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 9.903 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 9.903 * [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 9.903 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 9.904 * [backup-simplify]: Simplify (+ 0 0) into 0 9.904 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 9.904 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 9.904 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 9.904 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 9.904 * [taylor]: Taking taylor expansion of 1/4 in J 9.904 * [backup-simplify]: Simplify 1/4 into 1/4 9.904 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 9.904 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.904 * [taylor]: Taking taylor expansion of J in J 9.904 * [backup-simplify]: Simplify 0 into 0 9.904 * [backup-simplify]: Simplify 1 into 1 9.904 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 9.904 * [taylor]: Taking taylor expansion of (pow U 2) in J 9.904 * [taylor]: Taking taylor expansion of U in J 9.904 * [backup-simplify]: Simplify U into U 9.904 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 9.904 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 9.904 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 9.904 * [taylor]: Taking taylor expansion of 1/2 in J 9.904 * [backup-simplify]: Simplify 1/2 into 1/2 9.904 * [taylor]: Taking taylor expansion of K in J 9.904 * [backup-simplify]: Simplify K into K 9.904 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.904 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.904 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.904 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.905 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.905 * [backup-simplify]: Simplify (- 0) into 0 9.905 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.905 * [backup-simplify]: Simplify (* 1 1) into 1 9.905 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.905 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.905 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 9.905 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 9.905 * [taylor]: Taking taylor expansion of 1 in J 9.905 * [backup-simplify]: Simplify 1 into 1 9.906 * [backup-simplify]: Simplify (+ 0 1) into 1 9.906 * [backup-simplify]: Simplify (sqrt 1) into 1 9.906 * [backup-simplify]: Simplify (+ 0 0) into 0 9.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.907 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 9.907 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 9.907 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 9.907 * [taylor]: Taking taylor expansion of 1/4 in U 9.907 * [backup-simplify]: Simplify 1/4 into 1/4 9.907 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 9.907 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.907 * [taylor]: Taking taylor expansion of J in U 9.907 * [backup-simplify]: Simplify J into J 9.907 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 9.907 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.907 * [taylor]: Taking taylor expansion of U in U 9.907 * [backup-simplify]: Simplify 0 into 0 9.907 * [backup-simplify]: Simplify 1 into 1 9.907 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 9.907 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 9.907 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 9.907 * [taylor]: Taking taylor expansion of 1/2 in U 9.907 * [backup-simplify]: Simplify 1/2 into 1/2 9.907 * [taylor]: Taking taylor expansion of K in U 9.907 * [backup-simplify]: Simplify K into K 9.907 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.907 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.907 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.907 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.907 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.907 * [backup-simplify]: Simplify (- 0) into 0 9.908 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.908 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.908 * [backup-simplify]: Simplify (* 1 1) into 1 9.908 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.908 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 9.908 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 9.908 * [taylor]: Taking taylor expansion of 1 in U 9.908 * [backup-simplify]: Simplify 1 into 1 9.908 * [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))) 9.908 * [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))) 9.909 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 9.909 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.909 * [backup-simplify]: Simplify (+ 0) into 0 9.910 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.910 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.911 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.911 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.911 * [backup-simplify]: Simplify (- 0) into 0 9.912 * [backup-simplify]: Simplify (+ 0 0) into 0 9.912 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 9.913 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.913 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 9.914 * [backup-simplify]: 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 9.914 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 9.915 * [backup-simplify]: Simplify (+ 0 0) into 0 9.915 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 9.915 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 9.915 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 9.915 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 9.915 * [taylor]: Taking taylor expansion of 1/4 in U 9.915 * [backup-simplify]: Simplify 1/4 into 1/4 9.915 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 9.915 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.915 * [taylor]: Taking taylor expansion of J in U 9.915 * [backup-simplify]: Simplify J into J 9.915 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 9.915 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.915 * [taylor]: Taking taylor expansion of U in U 9.915 * [backup-simplify]: Simplify 0 into 0 9.915 * [backup-simplify]: Simplify 1 into 1 9.915 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 9.916 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 9.916 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 9.916 * [taylor]: Taking taylor expansion of 1/2 in U 9.916 * [backup-simplify]: Simplify 1/2 into 1/2 9.916 * [taylor]: Taking taylor expansion of K in U 9.916 * [backup-simplify]: Simplify K into K 9.916 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.916 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.916 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.916 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.916 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.916 * [backup-simplify]: Simplify (- 0) into 0 9.916 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.917 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.917 * [backup-simplify]: Simplify (* 1 1) into 1 9.917 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.917 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 9.917 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 9.917 * [taylor]: Taking taylor expansion of 1 in U 9.917 * [backup-simplify]: Simplify 1 into 1 9.918 * [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))) 9.918 * [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))) 9.918 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 9.918 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.919 * [backup-simplify]: Simplify (+ 0) into 0 9.919 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.919 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.920 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.921 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.921 * [backup-simplify]: Simplify (- 0) into 0 9.921 * [backup-simplify]: Simplify (+ 0 0) into 0 9.921 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 9.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 9.923 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 9.924 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 9.924 * [backup-simplify]: Simplify (+ 0 0) into 0 9.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 9.924 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 9.924 * [taylor]: Taking taylor expansion of 1/2 in J 9.924 * [backup-simplify]: Simplify 1/2 into 1/2 9.925 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 9.925 * [taylor]: Taking taylor expansion of J in J 9.925 * [backup-simplify]: Simplify 0 into 0 9.925 * [backup-simplify]: Simplify 1 into 1 9.925 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 9.925 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 9.925 * [taylor]: Taking taylor expansion of 1/2 in J 9.925 * [backup-simplify]: Simplify 1/2 into 1/2 9.925 * [taylor]: Taking taylor expansion of K in J 9.925 * [backup-simplify]: Simplify K into K 9.925 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.925 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.925 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.925 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.925 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.926 * [backup-simplify]: Simplify (- 0) into 0 9.926 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.926 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 9.926 * [taylor]: Taking taylor expansion of 0 in J 9.926 * [backup-simplify]: Simplify 0 into 0 9.926 * [taylor]: Taking taylor expansion of 0 in K 9.926 * [backup-simplify]: Simplify 0 into 0 9.926 * [backup-simplify]: Simplify 0 into 0 9.926 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 9.926 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 9.926 * [taylor]: Taking taylor expansion of 1/2 in K 9.926 * [backup-simplify]: Simplify 1/2 into 1/2 9.926 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 9.926 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 9.926 * [taylor]: Taking taylor expansion of 1/2 in K 9.926 * [backup-simplify]: Simplify 1/2 into 1/2 9.926 * [taylor]: Taking taylor expansion of K in K 9.926 * [backup-simplify]: Simplify 0 into 0 9.926 * [backup-simplify]: Simplify 1 into 1 9.927 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.927 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.927 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 9.927 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 9.928 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 9.928 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.929 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.929 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.930 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.931 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.931 * [backup-simplify]: Simplify (- 0) into 0 9.931 * [backup-simplify]: Simplify (+ 0 0) into 0 9.932 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 9.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 9.934 * [backup-simplify]: 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 9.935 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 9.936 * [backup-simplify]: Simplify (+ 0 1) into 1 9.937 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 9.937 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 9.937 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 9.937 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 9.937 * [taylor]: Taking taylor expansion of 1/2 in J 9.937 * [backup-simplify]: Simplify 1/2 into 1/2 9.937 * [taylor]: Taking taylor expansion of K in J 9.937 * [backup-simplify]: Simplify K into K 9.937 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.937 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.937 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.937 * [taylor]: Taking taylor expansion of J in J 9.937 * [backup-simplify]: Simplify 0 into 0 9.937 * [backup-simplify]: Simplify 1 into 1 9.937 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.937 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.938 * [backup-simplify]: Simplify (- 0) into 0 9.938 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.938 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.938 * [backup-simplify]: Simplify (+ 0) into 0 9.939 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.939 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.940 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.940 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.941 * [backup-simplify]: Simplify (- 0) into 0 9.941 * [backup-simplify]: Simplify (+ 0 0) into 0 9.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 9.942 * [taylor]: Taking taylor expansion of 0 in K 9.942 * [backup-simplify]: Simplify 0 into 0 9.942 * [backup-simplify]: Simplify 0 into 0 9.942 * [taylor]: Taking taylor expansion of 0 in K 9.942 * [backup-simplify]: Simplify 0 into 0 9.942 * [backup-simplify]: Simplify 0 into 0 9.942 * [backup-simplify]: Simplify (+ 0) into 0 9.942 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.942 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.943 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.943 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.943 * [backup-simplify]: Simplify (- 0) into 0 9.944 * [backup-simplify]: Simplify (+ 0 0) into 0 9.944 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 9.944 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 9.944 * [taylor]: Taking taylor expansion of 0 in K 9.944 * [backup-simplify]: Simplify 0 into 0 9.944 * [backup-simplify]: Simplify 0 into 0 9.944 * [backup-simplify]: Simplify 0 into 0 9.944 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 9.944 * [backup-simplify]: Simplify 0 into 0 9.945 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 9.945 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.946 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.946 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.947 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 9.947 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 9.948 * [backup-simplify]: Simplify (- 0) into 0 9.948 * [backup-simplify]: Simplify (+ 0 0) into 0 9.948 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 9.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 9.950 * [backup-simplify]: 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 9.951 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 9.951 * [backup-simplify]: Simplify (+ 0 0) into 0 9.951 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 9.951 * [taylor]: Taking taylor expansion of 0 in J 9.951 * [backup-simplify]: Simplify 0 into 0 9.951 * [taylor]: Taking taylor expansion of 0 in K 9.951 * [backup-simplify]: Simplify 0 into 0 9.951 * [backup-simplify]: Simplify 0 into 0 9.952 * [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))) 9.952 * [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)))))) 9.952 * [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 9.952 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 9.952 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 9.952 * [taylor]: Taking taylor expansion of 1 in K 9.952 * [backup-simplify]: Simplify 1 into 1 9.952 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 9.952 * [taylor]: Taking taylor expansion of 1/4 in K 9.952 * [backup-simplify]: Simplify 1/4 into 1/4 9.952 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 9.952 * [taylor]: Taking taylor expansion of (pow J 2) in K 9.952 * [taylor]: Taking taylor expansion of J in K 9.952 * [backup-simplify]: Simplify J into J 9.952 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 9.952 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 9.952 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 9.952 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 9.952 * [taylor]: Taking taylor expansion of -1/2 in K 9.952 * [backup-simplify]: Simplify -1/2 into -1/2 9.952 * [taylor]: Taking taylor expansion of K in K 9.952 * [backup-simplify]: Simplify 0 into 0 9.952 * [backup-simplify]: Simplify 1 into 1 9.953 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.953 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.953 * [taylor]: Taking taylor expansion of (pow U 2) in K 9.953 * [taylor]: Taking taylor expansion of U in K 9.953 * [backup-simplify]: Simplify U into U 9.953 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.953 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.953 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.953 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 9.953 * [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))) 9.953 * [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)))) 9.954 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 9.954 * [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)))))) 9.954 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.954 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 9.954 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 9.954 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 9.954 * [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 9.955 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 9.955 * [backup-simplify]: Simplify (+ 0 0) into 0 9.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 9.955 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 9.955 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 9.955 * [taylor]: Taking taylor expansion of 1 in J 9.955 * [backup-simplify]: Simplify 1 into 1 9.955 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 9.955 * [taylor]: Taking taylor expansion of 1/4 in J 9.955 * [backup-simplify]: Simplify 1/4 into 1/4 9.955 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 9.956 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.956 * [taylor]: Taking taylor expansion of J in J 9.956 * [backup-simplify]: Simplify 0 into 0 9.956 * [backup-simplify]: Simplify 1 into 1 9.956 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 9.956 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 9.956 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 9.956 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 9.956 * [taylor]: Taking taylor expansion of -1/2 in J 9.956 * [backup-simplify]: Simplify -1/2 into -1/2 9.956 * [taylor]: Taking taylor expansion of K in J 9.956 * [backup-simplify]: Simplify K into K 9.956 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.956 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.956 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.956 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.956 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.956 * [backup-simplify]: Simplify (- 0) into 0 9.956 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.956 * [taylor]: Taking taylor expansion of (pow U 2) in J 9.956 * [taylor]: Taking taylor expansion of U in J 9.956 * [backup-simplify]: Simplify U into U 9.957 * [backup-simplify]: Simplify (* 1 1) into 1 9.957 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.957 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.957 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 9.957 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 9.957 * [backup-simplify]: Simplify (+ 1 0) into 1 9.957 * [backup-simplify]: Simplify (sqrt 1) into 1 9.958 * [backup-simplify]: Simplify (+ 0 0) into 0 9.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.958 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 9.958 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 9.958 * [taylor]: Taking taylor expansion of 1 in U 9.958 * [backup-simplify]: Simplify 1 into 1 9.958 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 9.958 * [taylor]: Taking taylor expansion of 1/4 in U 9.958 * [backup-simplify]: Simplify 1/4 into 1/4 9.958 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 9.958 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.958 * [taylor]: Taking taylor expansion of J in U 9.958 * [backup-simplify]: Simplify J into J 9.958 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 9.958 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 9.958 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 9.958 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 9.958 * [taylor]: Taking taylor expansion of -1/2 in U 9.958 * [backup-simplify]: Simplify -1/2 into -1/2 9.958 * [taylor]: Taking taylor expansion of K in U 9.958 * [backup-simplify]: Simplify K into K 9.958 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.958 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.959 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.959 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.959 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.959 * [backup-simplify]: Simplify (- 0) into 0 9.959 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.959 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.959 * [taylor]: Taking taylor expansion of U in U 9.959 * [backup-simplify]: Simplify 0 into 0 9.959 * [backup-simplify]: Simplify 1 into 1 9.959 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.959 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.959 * [backup-simplify]: Simplify (* 1 1) into 1 9.959 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 9.960 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 9.960 * [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))) 9.960 * [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))) 9.960 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 9.960 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.960 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.961 * [backup-simplify]: Simplify (+ 0) into 0 9.961 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 9.961 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 9.962 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.963 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 9.963 * [backup-simplify]: Simplify (- 0) into 0 9.963 * [backup-simplify]: Simplify (+ 0 0) into 0 9.963 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 9.964 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 9.964 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 9.965 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 9.965 * [backup-simplify]: Simplify (+ 0 0) into 0 9.966 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 9.966 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 9.966 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 9.966 * [taylor]: Taking taylor expansion of 1 in U 9.966 * [backup-simplify]: Simplify 1 into 1 9.966 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 9.966 * [taylor]: Taking taylor expansion of 1/4 in U 9.966 * [backup-simplify]: Simplify 1/4 into 1/4 9.966 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 9.966 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.966 * [taylor]: Taking taylor expansion of J in U 9.966 * [backup-simplify]: Simplify J into J 9.966 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 9.966 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 9.966 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 9.966 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 9.966 * [taylor]: Taking taylor expansion of -1/2 in U 9.966 * [backup-simplify]: Simplify -1/2 into -1/2 9.966 * [taylor]: Taking taylor expansion of K in U 9.966 * [backup-simplify]: Simplify K into K 9.966 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.966 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.966 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.967 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.967 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.967 * [backup-simplify]: Simplify (- 0) into 0 9.967 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.967 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.967 * [taylor]: Taking taylor expansion of U in U 9.967 * [backup-simplify]: Simplify 0 into 0 9.967 * [backup-simplify]: Simplify 1 into 1 9.967 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.967 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.968 * [backup-simplify]: Simplify (* 1 1) into 1 9.968 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 9.968 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 9.968 * [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))) 9.969 * [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))) 9.969 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 9.969 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.970 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.970 * [backup-simplify]: Simplify (+ 0) into 0 9.971 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 9.971 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 9.972 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.972 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 9.973 * [backup-simplify]: Simplify (- 0) into 0 9.973 * [backup-simplify]: Simplify (+ 0 0) into 0 9.973 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 9.974 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 9.974 * [backup-simplify]: 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 9.975 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 9.975 * [backup-simplify]: Simplify (+ 0 0) into 0 9.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 9.976 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 9.976 * [taylor]: Taking taylor expansion of 1/2 in J 9.976 * [backup-simplify]: Simplify 1/2 into 1/2 9.976 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 9.976 * [taylor]: Taking taylor expansion of J in J 9.976 * [backup-simplify]: Simplify 0 into 0 9.976 * [backup-simplify]: Simplify 1 into 1 9.976 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 9.976 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 9.976 * [taylor]: Taking taylor expansion of -1/2 in J 9.976 * [backup-simplify]: Simplify -1/2 into -1/2 9.976 * [taylor]: Taking taylor expansion of K in J 9.976 * [backup-simplify]: Simplify K into K 9.976 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.976 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.976 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.976 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.976 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.977 * [backup-simplify]: Simplify (- 0) into 0 9.977 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.977 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 9.977 * [taylor]: Taking taylor expansion of 0 in J 9.977 * [backup-simplify]: Simplify 0 into 0 9.977 * [taylor]: Taking taylor expansion of 0 in K 9.977 * [backup-simplify]: Simplify 0 into 0 9.977 * [backup-simplify]: Simplify 0 into 0 9.977 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 9.977 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 9.977 * [taylor]: Taking taylor expansion of 1/2 in K 9.977 * [backup-simplify]: Simplify 1/2 into 1/2 9.977 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 9.977 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 9.977 * [taylor]: Taking taylor expansion of -1/2 in K 9.977 * [backup-simplify]: Simplify -1/2 into -1/2 9.977 * [taylor]: Taking taylor expansion of K in K 9.977 * [backup-simplify]: Simplify 0 into 0 9.977 * [backup-simplify]: Simplify 1 into 1 9.978 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.978 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.978 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 9.978 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 9.979 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 9.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.981 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.982 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.982 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.983 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.983 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.984 * [backup-simplify]: Simplify (- 0) into 0 9.984 * [backup-simplify]: Simplify (+ 0 0) into 0 9.985 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 9.985 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 9.986 * [backup-simplify]: 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 9.987 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 9.987 * [backup-simplify]: Simplify (+ 1 0) into 1 9.988 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 9.988 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 9.988 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 9.988 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 9.988 * [taylor]: Taking taylor expansion of -1/2 in J 9.988 * [backup-simplify]: Simplify -1/2 into -1/2 9.988 * [taylor]: Taking taylor expansion of K in J 9.988 * [backup-simplify]: Simplify K into K 9.989 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.989 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.989 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.989 * [taylor]: Taking taylor expansion of J in J 9.989 * [backup-simplify]: Simplify 0 into 0 9.989 * [backup-simplify]: Simplify 1 into 1 9.989 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.989 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.989 * [backup-simplify]: Simplify (- 0) into 0 9.989 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.990 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.990 * [backup-simplify]: Simplify (+ 0) into 0 9.990 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 9.991 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 9.991 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.992 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 9.992 * [backup-simplify]: Simplify (- 0) into 0 9.993 * [backup-simplify]: Simplify (+ 0 0) into 0 9.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 9.994 * [taylor]: Taking taylor expansion of 0 in K 9.994 * [backup-simplify]: Simplify 0 into 0 9.994 * [backup-simplify]: Simplify 0 into 0 9.994 * [taylor]: Taking taylor expansion of 0 in K 9.994 * [backup-simplify]: Simplify 0 into 0 9.994 * [backup-simplify]: Simplify 0 into 0 9.994 * [backup-simplify]: Simplify (+ 0) into 0 9.995 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 9.995 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 9.996 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.996 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 9.997 * [backup-simplify]: Simplify (- 0) into 0 9.997 * [backup-simplify]: Simplify (+ 0 0) into 0 9.997 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 9.998 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 9.998 * [taylor]: Taking taylor expansion of 0 in K 9.998 * [backup-simplify]: Simplify 0 into 0 9.998 * [backup-simplify]: Simplify 0 into 0 9.998 * [backup-simplify]: Simplify 0 into 0 9.998 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 9.998 * [backup-simplify]: Simplify 0 into 0 9.999 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 10.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.001 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.002 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.002 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.004 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.004 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.009 * [backup-simplify]: Simplify (- 0) into 0 10.010 * [backup-simplify]: Simplify (+ 0 0) into 0 10.011 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 10.012 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.013 * [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 10.014 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 10.014 * [backup-simplify]: Simplify (+ 0 0) into 0 10.015 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 10.015 * [taylor]: Taking taylor expansion of 0 in J 10.015 * [backup-simplify]: Simplify 0 into 0 10.015 * [taylor]: Taking taylor expansion of 0 in K 10.015 * [backup-simplify]: Simplify 0 into 0 10.015 * [backup-simplify]: Simplify 0 into 0 10.015 * [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))) 10.015 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 10.016 * [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)) 10.016 * [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 10.016 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 10.016 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 10.016 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 10.016 * [taylor]: Taking taylor expansion of 1/4 in K 10.016 * [backup-simplify]: Simplify 1/4 into 1/4 10.016 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 10.016 * [taylor]: Taking taylor expansion of (pow U 2) in K 10.016 * [taylor]: Taking taylor expansion of U in K 10.016 * [backup-simplify]: Simplify U into U 10.016 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 10.016 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 10.016 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.016 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.016 * [taylor]: Taking taylor expansion of 1/2 in K 10.016 * [backup-simplify]: Simplify 1/2 into 1/2 10.016 * [taylor]: Taking taylor expansion of K in K 10.016 * [backup-simplify]: Simplify 0 into 0 10.016 * [backup-simplify]: Simplify 1 into 1 10.017 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.018 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.018 * [taylor]: Taking taylor expansion of (pow J 2) in K 10.018 * [taylor]: Taking taylor expansion of J in K 10.018 * [backup-simplify]: Simplify J into J 10.018 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.018 * [backup-simplify]: Simplify (* 1 1) into 1 10.018 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.018 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 10.018 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 10.018 * [taylor]: Taking taylor expansion of 1 in K 10.019 * [backup-simplify]: Simplify 1 into 1 10.019 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 10.019 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 10.019 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 10.019 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 10.019 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 10.020 * [backup-simplify]: Simplify (+ 0) into 0 10.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 10.021 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 10.022 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 10.022 * [backup-simplify]: Simplify (+ 0 0) into 0 10.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 10.023 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 10.023 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 10.023 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 10.023 * [taylor]: Taking taylor expansion of 1/4 in J 10.023 * [backup-simplify]: Simplify 1/4 into 1/4 10.023 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 10.023 * [taylor]: Taking taylor expansion of (pow U 2) in J 10.023 * [taylor]: Taking taylor expansion of U in J 10.023 * [backup-simplify]: Simplify U into U 10.023 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 10.023 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 10.023 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.023 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.023 * [taylor]: Taking taylor expansion of 1/2 in J 10.023 * [backup-simplify]: Simplify 1/2 into 1/2 10.023 * [taylor]: Taking taylor expansion of K in J 10.023 * [backup-simplify]: Simplify K into K 10.023 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.023 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.023 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.024 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.024 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.024 * [backup-simplify]: Simplify (- 0) into 0 10.024 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.024 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.024 * [taylor]: Taking taylor expansion of J in J 10.024 * [backup-simplify]: Simplify 0 into 0 10.024 * [backup-simplify]: Simplify 1 into 1 10.024 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.024 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 10.025 * [backup-simplify]: Simplify (* 1 1) into 1 10.025 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 10.025 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 10.025 * [taylor]: Taking taylor expansion of 1 in J 10.025 * [backup-simplify]: Simplify 1 into 1 10.025 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 10.026 * [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))) 10.026 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 10.026 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 10.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.027 * [backup-simplify]: Simplify (+ 0) into 0 10.028 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.028 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.029 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.030 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.030 * [backup-simplify]: Simplify (- 0) into 0 10.031 * [backup-simplify]: Simplify (+ 0 0) into 0 10.031 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 10.031 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 10.032 * [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 10.033 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 10.033 * [backup-simplify]: Simplify (+ 0 0) into 0 10.033 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 10.033 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 10.033 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 10.033 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 10.033 * [taylor]: Taking taylor expansion of 1/4 in U 10.033 * [backup-simplify]: Simplify 1/4 into 1/4 10.033 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 10.033 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.034 * [taylor]: Taking taylor expansion of U in U 10.034 * [backup-simplify]: Simplify 0 into 0 10.034 * [backup-simplify]: Simplify 1 into 1 10.034 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 10.034 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 10.034 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.034 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.034 * [taylor]: Taking taylor expansion of 1/2 in U 10.034 * [backup-simplify]: Simplify 1/2 into 1/2 10.034 * [taylor]: Taking taylor expansion of K in U 10.034 * [backup-simplify]: Simplify K into K 10.034 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.034 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.034 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.034 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.034 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.035 * [backup-simplify]: Simplify (- 0) into 0 10.035 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.035 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.035 * [taylor]: Taking taylor expansion of J in U 10.035 * [backup-simplify]: Simplify J into J 10.035 * [backup-simplify]: Simplify (* 1 1) into 1 10.035 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 10.035 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.036 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 10.036 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.036 * [taylor]: Taking taylor expansion of 1 in U 10.036 * [backup-simplify]: Simplify 1 into 1 10.036 * [backup-simplify]: Simplify (+ 0 1) into 1 10.037 * [backup-simplify]: Simplify (sqrt 1) into 1 10.037 * [backup-simplify]: Simplify (+ 0 0) into 0 10.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.038 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 10.038 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 10.038 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 10.038 * [taylor]: Taking taylor expansion of 1/4 in U 10.038 * [backup-simplify]: Simplify 1/4 into 1/4 10.038 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 10.038 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.038 * [taylor]: Taking taylor expansion of U in U 10.038 * [backup-simplify]: Simplify 0 into 0 10.038 * [backup-simplify]: Simplify 1 into 1 10.038 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 10.038 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 10.038 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.038 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.038 * [taylor]: Taking taylor expansion of 1/2 in U 10.038 * [backup-simplify]: Simplify 1/2 into 1/2 10.038 * [taylor]: Taking taylor expansion of K in U 10.038 * [backup-simplify]: Simplify K into K 10.038 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.039 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.039 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.039 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.039 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.039 * [backup-simplify]: Simplify (- 0) into 0 10.039 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.039 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.039 * [taylor]: Taking taylor expansion of J in U 10.039 * [backup-simplify]: Simplify J into J 10.040 * [backup-simplify]: Simplify (* 1 1) into 1 10.040 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 10.040 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.040 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 10.040 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.040 * [taylor]: Taking taylor expansion of 1 in U 10.040 * [backup-simplify]: Simplify 1 into 1 10.041 * [backup-simplify]: Simplify (+ 0 1) into 1 10.041 * [backup-simplify]: Simplify (sqrt 1) into 1 10.042 * [backup-simplify]: Simplify (+ 0 0) into 0 10.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.043 * [taylor]: Taking taylor expansion of 1 in J 10.043 * [backup-simplify]: Simplify 1 into 1 10.043 * [taylor]: Taking taylor expansion of 0 in J 10.043 * [backup-simplify]: Simplify 0 into 0 10.043 * [taylor]: Taking taylor expansion of 1 in K 10.043 * [backup-simplify]: Simplify 1 into 1 10.043 * [backup-simplify]: Simplify 1 into 1 10.043 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.043 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 10.045 * [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))) 10.045 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 10.045 * [taylor]: Taking taylor expansion of 1/8 in J 10.045 * [backup-simplify]: Simplify 1/8 into 1/8 10.045 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 10.045 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 10.045 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.045 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.045 * [taylor]: Taking taylor expansion of 1/2 in J 10.045 * [backup-simplify]: Simplify 1/2 into 1/2 10.045 * [taylor]: Taking taylor expansion of K in J 10.045 * [backup-simplify]: Simplify K into K 10.045 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.045 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.045 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.045 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.046 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.046 * [backup-simplify]: Simplify (- 0) into 0 10.046 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.046 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.046 * [taylor]: Taking taylor expansion of J in J 10.046 * [backup-simplify]: Simplify 0 into 0 10.046 * [backup-simplify]: Simplify 1 into 1 10.046 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 10.047 * [backup-simplify]: Simplify (* 1 1) into 1 10.047 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 10.047 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 10.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.048 * [backup-simplify]: Simplify (+ 0) into 0 10.049 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.049 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.050 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.051 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.051 * [backup-simplify]: Simplify (- 0) into 0 10.051 * [backup-simplify]: Simplify (+ 0 0) into 0 10.051 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 10.052 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 10.052 * [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 10.052 * [taylor]: Taking taylor expansion of 0 in K 10.052 * [backup-simplify]: Simplify 0 into 0 10.053 * [backup-simplify]: Simplify 0 into 0 10.053 * [taylor]: Taking taylor expansion of 0 in K 10.053 * [backup-simplify]: Simplify 0 into 0 10.053 * [backup-simplify]: Simplify 0 into 0 10.053 * [taylor]: Taking taylor expansion of 0 in K 10.053 * [backup-simplify]: Simplify 0 into 0 10.053 * [backup-simplify]: Simplify 0 into 0 10.053 * [backup-simplify]: Simplify 0 into 0 10.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.053 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 10.054 * [backup-simplify]: Simplify (+ 0) into 0 10.054 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.054 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.055 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.055 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.055 * [backup-simplify]: Simplify (- 0) into 0 10.055 * [backup-simplify]: Simplify (+ 0 0) into 0 10.056 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 10.056 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 10.056 * [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 10.056 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 10.057 * [backup-simplify]: Simplify (+ 0 0) into 0 10.057 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 10.057 * [taylor]: Taking taylor expansion of 0 in J 10.057 * [backup-simplify]: Simplify 0 into 0 10.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.058 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.059 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.059 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 10.060 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.060 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.060 * [backup-simplify]: Simplify (- 0) into 0 10.061 * [backup-simplify]: Simplify (+ 0 0) into 0 10.061 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 10.061 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 10.062 * [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 10.062 * [taylor]: Taking taylor expansion of 0 in K 10.062 * [backup-simplify]: Simplify 0 into 0 10.062 * [backup-simplify]: Simplify 0 into 0 10.062 * [taylor]: Taking taylor expansion of 0 in K 10.062 * [backup-simplify]: Simplify 0 into 0 10.062 * [backup-simplify]: Simplify 0 into 0 10.062 * [backup-simplify]: Simplify 1 into 1 10.062 * [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)) 10.062 * [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 10.062 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 10.062 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 10.062 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 10.062 * [taylor]: Taking taylor expansion of 1/4 in K 10.062 * [backup-simplify]: Simplify 1/4 into 1/4 10.062 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 10.062 * [taylor]: Taking taylor expansion of (pow J 2) in K 10.062 * [taylor]: Taking taylor expansion of J in K 10.062 * [backup-simplify]: Simplify J into J 10.062 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 10.062 * [taylor]: Taking taylor expansion of (pow U 2) in K 10.062 * [taylor]: Taking taylor expansion of U in K 10.062 * [backup-simplify]: Simplify U into U 10.062 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 10.062 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.062 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.062 * [taylor]: Taking taylor expansion of 1/2 in K 10.062 * [backup-simplify]: Simplify 1/2 into 1/2 10.062 * [taylor]: Taking taylor expansion of K in K 10.063 * [backup-simplify]: Simplify 0 into 0 10.063 * [backup-simplify]: Simplify 1 into 1 10.063 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.063 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.063 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.063 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.063 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.063 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 10.063 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 10.063 * [taylor]: Taking taylor expansion of 1 in K 10.063 * [backup-simplify]: Simplify 1 into 1 10.063 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 10.064 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 10.064 * [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)) 10.064 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 10.064 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.064 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 10.064 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 10.064 * [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 10.065 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 10.065 * [backup-simplify]: Simplify (+ 0 0) into 0 10.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 10.065 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 10.065 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 10.066 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 10.066 * [taylor]: Taking taylor expansion of 1/4 in J 10.066 * [backup-simplify]: Simplify 1/4 into 1/4 10.066 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 10.066 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.066 * [taylor]: Taking taylor expansion of J in J 10.066 * [backup-simplify]: Simplify 0 into 0 10.066 * [backup-simplify]: Simplify 1 into 1 10.066 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 10.066 * [taylor]: Taking taylor expansion of (pow U 2) in J 10.066 * [taylor]: Taking taylor expansion of U in J 10.066 * [backup-simplify]: Simplify U into U 10.066 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 10.066 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.066 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.066 * [taylor]: Taking taylor expansion of 1/2 in J 10.066 * [backup-simplify]: Simplify 1/2 into 1/2 10.066 * [taylor]: Taking taylor expansion of K in J 10.066 * [backup-simplify]: Simplify K into K 10.066 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.066 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.066 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.066 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.066 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.066 * [backup-simplify]: Simplify (- 0) into 0 10.066 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.067 * [backup-simplify]: Simplify (* 1 1) into 1 10.067 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.067 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.067 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 10.067 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 10.067 * [taylor]: Taking taylor expansion of 1 in J 10.067 * [backup-simplify]: Simplify 1 into 1 10.067 * [backup-simplify]: Simplify (+ 0 1) into 1 10.068 * [backup-simplify]: Simplify (sqrt 1) into 1 10.068 * [backup-simplify]: Simplify (+ 0 0) into 0 10.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.068 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 10.068 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 10.068 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 10.068 * [taylor]: Taking taylor expansion of 1/4 in U 10.068 * [backup-simplify]: Simplify 1/4 into 1/4 10.068 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 10.068 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.068 * [taylor]: Taking taylor expansion of J in U 10.068 * [backup-simplify]: Simplify J into J 10.068 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 10.068 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.068 * [taylor]: Taking taylor expansion of U in U 10.068 * [backup-simplify]: Simplify 0 into 0 10.068 * [backup-simplify]: Simplify 1 into 1 10.068 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 10.068 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.069 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.069 * [taylor]: Taking taylor expansion of 1/2 in U 10.069 * [backup-simplify]: Simplify 1/2 into 1/2 10.069 * [taylor]: Taking taylor expansion of K in U 10.069 * [backup-simplify]: Simplify K into K 10.069 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.069 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.069 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.069 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.069 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.069 * [backup-simplify]: Simplify (- 0) into 0 10.069 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.069 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.069 * [backup-simplify]: Simplify (* 1 1) into 1 10.070 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.070 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 10.070 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 10.070 * [taylor]: Taking taylor expansion of 1 in U 10.070 * [backup-simplify]: Simplify 1 into 1 10.070 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 10.070 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 10.070 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 10.070 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 10.070 * [backup-simplify]: Simplify (+ 0) into 0 10.071 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.071 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.071 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.072 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.072 * [backup-simplify]: Simplify (- 0) into 0 10.072 * [backup-simplify]: Simplify (+ 0 0) into 0 10.072 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 10.073 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.074 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 10.074 * [backup-simplify]: Simplify (+ 0 0) into 0 10.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 10.074 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 10.074 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 10.074 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 10.074 * [taylor]: Taking taylor expansion of 1/4 in U 10.074 * [backup-simplify]: Simplify 1/4 into 1/4 10.074 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 10.074 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.074 * [taylor]: Taking taylor expansion of J in U 10.074 * [backup-simplify]: Simplify J into J 10.074 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 10.074 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.074 * [taylor]: Taking taylor expansion of U in U 10.074 * [backup-simplify]: Simplify 0 into 0 10.074 * [backup-simplify]: Simplify 1 into 1 10.074 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 10.074 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.074 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.074 * [taylor]: Taking taylor expansion of 1/2 in U 10.074 * [backup-simplify]: Simplify 1/2 into 1/2 10.074 * [taylor]: Taking taylor expansion of K in U 10.074 * [backup-simplify]: Simplify K into K 10.074 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.074 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.075 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.075 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.075 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.075 * [backup-simplify]: Simplify (- 0) into 0 10.075 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.075 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.075 * [backup-simplify]: Simplify (* 1 1) into 1 10.075 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.075 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 10.076 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 10.076 * [taylor]: Taking taylor expansion of 1 in U 10.076 * [backup-simplify]: Simplify 1 into 1 10.076 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 10.076 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 10.076 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 10.076 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 10.076 * [backup-simplify]: Simplify (+ 0) into 0 10.077 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.077 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.077 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.078 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.078 * [backup-simplify]: Simplify (- 0) into 0 10.078 * [backup-simplify]: Simplify (+ 0 0) into 0 10.078 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 10.079 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.080 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 10.080 * [backup-simplify]: Simplify (+ 0 0) into 0 10.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 10.080 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 10.080 * [taylor]: Taking taylor expansion of 1/2 in J 10.080 * [backup-simplify]: Simplify 1/2 into 1/2 10.080 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 10.080 * [taylor]: Taking taylor expansion of J in J 10.080 * [backup-simplify]: Simplify 0 into 0 10.080 * [backup-simplify]: Simplify 1 into 1 10.080 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.080 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.080 * [taylor]: Taking taylor expansion of 1/2 in J 10.080 * [backup-simplify]: Simplify 1/2 into 1/2 10.080 * [taylor]: Taking taylor expansion of K in J 10.080 * [backup-simplify]: Simplify K into K 10.080 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.080 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.080 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.080 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.081 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.081 * [backup-simplify]: Simplify (- 0) into 0 10.081 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.081 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 10.081 * [taylor]: Taking taylor expansion of 0 in J 10.081 * [backup-simplify]: Simplify 0 into 0 10.081 * [taylor]: Taking taylor expansion of 0 in K 10.081 * [backup-simplify]: Simplify 0 into 0 10.081 * [backup-simplify]: Simplify 0 into 0 10.081 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 10.081 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 10.081 * [taylor]: Taking taylor expansion of 1/2 in K 10.081 * [backup-simplify]: Simplify 1/2 into 1/2 10.081 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.081 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.081 * [taylor]: Taking taylor expansion of 1/2 in K 10.081 * [backup-simplify]: Simplify 1/2 into 1/2 10.082 * [taylor]: Taking taylor expansion of K in K 10.082 * [backup-simplify]: Simplify 0 into 0 10.082 * [backup-simplify]: Simplify 1 into 1 10.082 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.082 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.082 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 10.082 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 10.083 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 10.084 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.085 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.085 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.085 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.086 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.086 * [backup-simplify]: Simplify (- 0) into 0 10.087 * [backup-simplify]: Simplify (+ 0 0) into 0 10.087 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 10.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 10.089 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.091 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 10.091 * [backup-simplify]: Simplify (+ 0 1) into 1 10.092 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 10.092 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 10.092 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.092 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.092 * [taylor]: Taking taylor expansion of 1/2 in J 10.092 * [backup-simplify]: Simplify 1/2 into 1/2 10.092 * [taylor]: Taking taylor expansion of K in J 10.092 * [backup-simplify]: Simplify K into K 10.093 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.093 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.093 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.093 * [taylor]: Taking taylor expansion of J in J 10.093 * [backup-simplify]: Simplify 0 into 0 10.093 * [backup-simplify]: Simplify 1 into 1 10.093 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.093 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.093 * [backup-simplify]: Simplify (- 0) into 0 10.093 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.093 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.094 * [backup-simplify]: Simplify (+ 0) into 0 10.094 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.094 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.095 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.096 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.096 * [backup-simplify]: Simplify (- 0) into 0 10.096 * [backup-simplify]: Simplify (+ 0 0) into 0 10.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 10.097 * [taylor]: Taking taylor expansion of 0 in K 10.097 * [backup-simplify]: Simplify 0 into 0 10.097 * [backup-simplify]: Simplify 0 into 0 10.097 * [taylor]: Taking taylor expansion of 0 in K 10.097 * [backup-simplify]: Simplify 0 into 0 10.097 * [backup-simplify]: Simplify 0 into 0 10.098 * [backup-simplify]: Simplify (+ 0) into 0 10.098 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.098 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.099 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.100 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.100 * [backup-simplify]: Simplify (- 0) into 0 10.100 * [backup-simplify]: Simplify (+ 0 0) into 0 10.101 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 10.101 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 10.101 * [taylor]: Taking taylor expansion of 0 in K 10.101 * [backup-simplify]: Simplify 0 into 0 10.101 * [backup-simplify]: Simplify 0 into 0 10.101 * [backup-simplify]: Simplify 0 into 0 10.101 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 10.101 * [backup-simplify]: Simplify 0 into 0 10.102 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 10.103 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.104 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.104 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.106 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.106 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.107 * [backup-simplify]: Simplify (- 0) into 0 10.107 * [backup-simplify]: Simplify (+ 0 0) into 0 10.108 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 10.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.110 * [backup-simplify]: 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 10.112 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 10.112 * [backup-simplify]: Simplify (+ 0 0) into 0 10.112 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 10.112 * [taylor]: Taking taylor expansion of 0 in J 10.112 * [backup-simplify]: Simplify 0 into 0 10.112 * [taylor]: Taking taylor expansion of 0 in K 10.112 * [backup-simplify]: Simplify 0 into 0 10.112 * [backup-simplify]: Simplify 0 into 0 10.113 * [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))) 10.113 * [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)))))) 10.113 * [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 10.113 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 10.113 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 10.113 * [taylor]: Taking taylor expansion of 1 in K 10.113 * [backup-simplify]: Simplify 1 into 1 10.113 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 10.113 * [taylor]: Taking taylor expansion of 1/4 in K 10.114 * [backup-simplify]: Simplify 1/4 into 1/4 10.114 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 10.114 * [taylor]: Taking taylor expansion of (pow J 2) in K 10.114 * [taylor]: Taking taylor expansion of J in K 10.114 * [backup-simplify]: Simplify J into J 10.114 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 10.114 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 10.114 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.114 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.114 * [taylor]: Taking taylor expansion of -1/2 in K 10.114 * [backup-simplify]: Simplify -1/2 into -1/2 10.114 * [taylor]: Taking taylor expansion of K in K 10.114 * [backup-simplify]: Simplify 0 into 0 10.114 * [backup-simplify]: Simplify 1 into 1 10.114 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.114 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.114 * [taylor]: Taking taylor expansion of (pow U 2) in K 10.114 * [taylor]: Taking taylor expansion of U in K 10.114 * [backup-simplify]: Simplify U into U 10.114 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.115 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.115 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.115 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 10.115 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 10.115 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 10.116 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 10.116 * [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)))))) 10.116 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 10.116 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 10.116 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 10.116 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 10.117 * [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 10.118 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 10.118 * [backup-simplify]: Simplify (+ 0 0) into 0 10.118 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 10.118 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 10.119 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 10.119 * [taylor]: Taking taylor expansion of 1 in J 10.119 * [backup-simplify]: Simplify 1 into 1 10.119 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 10.119 * [taylor]: Taking taylor expansion of 1/4 in J 10.119 * [backup-simplify]: Simplify 1/4 into 1/4 10.119 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 10.119 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.119 * [taylor]: Taking taylor expansion of J in J 10.119 * [backup-simplify]: Simplify 0 into 0 10.119 * [backup-simplify]: Simplify 1 into 1 10.119 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 10.119 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 10.119 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.119 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.119 * [taylor]: Taking taylor expansion of -1/2 in J 10.119 * [backup-simplify]: Simplify -1/2 into -1/2 10.119 * [taylor]: Taking taylor expansion of K in J 10.119 * [backup-simplify]: Simplify K into K 10.119 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.119 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.119 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.119 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.119 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.120 * [backup-simplify]: Simplify (- 0) into 0 10.120 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.120 * [taylor]: Taking taylor expansion of (pow U 2) in J 10.120 * [taylor]: Taking taylor expansion of U in J 10.120 * [backup-simplify]: Simplify U into U 10.120 * [backup-simplify]: Simplify (* 1 1) into 1 10.120 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.120 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.121 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 10.121 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 10.121 * [backup-simplify]: Simplify (+ 1 0) into 1 10.122 * [backup-simplify]: Simplify (sqrt 1) into 1 10.122 * [backup-simplify]: Simplify (+ 0 0) into 0 10.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.123 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 10.123 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 10.123 * [taylor]: Taking taylor expansion of 1 in U 10.123 * [backup-simplify]: Simplify 1 into 1 10.123 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 10.123 * [taylor]: Taking taylor expansion of 1/4 in U 10.123 * [backup-simplify]: Simplify 1/4 into 1/4 10.123 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 10.123 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.123 * [taylor]: Taking taylor expansion of J in U 10.123 * [backup-simplify]: Simplify J into J 10.123 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 10.123 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 10.123 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.123 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.123 * [taylor]: Taking taylor expansion of -1/2 in U 10.123 * [backup-simplify]: Simplify -1/2 into -1/2 10.123 * [taylor]: Taking taylor expansion of K in U 10.123 * [backup-simplify]: Simplify K into K 10.123 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.123 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.123 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.123 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.123 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.124 * [backup-simplify]: Simplify (- 0) into 0 10.124 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.124 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.124 * [taylor]: Taking taylor expansion of U in U 10.124 * [backup-simplify]: Simplify 0 into 0 10.124 * [backup-simplify]: Simplify 1 into 1 10.124 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.124 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.124 * [backup-simplify]: Simplify (* 1 1) into 1 10.125 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 10.125 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 10.125 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 10.125 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 10.125 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 10.125 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 10.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.126 * [backup-simplify]: Simplify (+ 0) into 0 10.127 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.127 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.128 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.128 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.129 * [backup-simplify]: Simplify (- 0) into 0 10.129 * [backup-simplify]: Simplify (+ 0 0) into 0 10.129 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 10.130 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 10.130 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 10.130 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 10.131 * [backup-simplify]: Simplify (+ 0 0) into 0 10.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 10.131 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 10.131 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 10.131 * [taylor]: Taking taylor expansion of 1 in U 10.131 * [backup-simplify]: Simplify 1 into 1 10.131 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 10.131 * [taylor]: Taking taylor expansion of 1/4 in U 10.131 * [backup-simplify]: Simplify 1/4 into 1/4 10.131 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 10.131 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.131 * [taylor]: Taking taylor expansion of J in U 10.131 * [backup-simplify]: Simplify J into J 10.131 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 10.131 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 10.131 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.131 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.132 * [taylor]: Taking taylor expansion of -1/2 in U 10.132 * [backup-simplify]: Simplify -1/2 into -1/2 10.132 * [taylor]: Taking taylor expansion of K in U 10.132 * [backup-simplify]: Simplify K into K 10.132 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.132 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.132 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.132 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.132 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.132 * [backup-simplify]: Simplify (- 0) into 0 10.132 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.132 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.132 * [taylor]: Taking taylor expansion of U in U 10.132 * [backup-simplify]: Simplify 0 into 0 10.132 * [backup-simplify]: Simplify 1 into 1 10.133 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.133 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.133 * [backup-simplify]: Simplify (* 1 1) into 1 10.133 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 10.133 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 10.133 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 10.134 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 10.134 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 10.134 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 10.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.135 * [backup-simplify]: Simplify (+ 0) into 0 10.135 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.136 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.136 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.137 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.137 * [backup-simplify]: Simplify (- 0) into 0 10.137 * [backup-simplify]: Simplify (+ 0 0) into 0 10.138 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 10.138 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 10.138 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 10.139 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 10.139 * [backup-simplify]: Simplify (+ 0 0) into 0 10.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 10.140 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 10.140 * [taylor]: Taking taylor expansion of 1/2 in J 10.140 * [backup-simplify]: Simplify 1/2 into 1/2 10.140 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 10.140 * [taylor]: Taking taylor expansion of J in J 10.140 * [backup-simplify]: Simplify 0 into 0 10.140 * [backup-simplify]: Simplify 1 into 1 10.140 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.140 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.140 * [taylor]: Taking taylor expansion of -1/2 in J 10.140 * [backup-simplify]: Simplify -1/2 into -1/2 10.140 * [taylor]: Taking taylor expansion of K in J 10.140 * [backup-simplify]: Simplify K into K 10.140 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.140 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.140 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.140 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.140 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.145 * [backup-simplify]: Simplify (- 0) into 0 10.145 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.145 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 10.145 * [taylor]: Taking taylor expansion of 0 in J 10.146 * [backup-simplify]: Simplify 0 into 0 10.146 * [taylor]: Taking taylor expansion of 0 in K 10.146 * [backup-simplify]: Simplify 0 into 0 10.146 * [backup-simplify]: Simplify 0 into 0 10.146 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 10.146 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 10.146 * [taylor]: Taking taylor expansion of 1/2 in K 10.146 * [backup-simplify]: Simplify 1/2 into 1/2 10.146 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.146 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.146 * [taylor]: Taking taylor expansion of -1/2 in K 10.146 * [backup-simplify]: Simplify -1/2 into -1/2 10.146 * [taylor]: Taking taylor expansion of K in K 10.146 * [backup-simplify]: Simplify 0 into 0 10.146 * [backup-simplify]: Simplify 1 into 1 10.147 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.147 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.147 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 10.147 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 10.148 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 10.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.149 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.150 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.150 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.151 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.152 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.152 * [backup-simplify]: Simplify (- 0) into 0 10.152 * [backup-simplify]: Simplify (+ 0 0) into 0 10.153 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 10.153 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 10.154 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 10.155 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 10.155 * [backup-simplify]: Simplify (+ 1 0) into 1 10.156 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 10.156 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 10.156 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.156 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.156 * [taylor]: Taking taylor expansion of -1/2 in J 10.156 * [backup-simplify]: Simplify -1/2 into -1/2 10.156 * [taylor]: Taking taylor expansion of K in J 10.156 * [backup-simplify]: Simplify K into K 10.156 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.156 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.156 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.156 * [taylor]: Taking taylor expansion of J in J 10.156 * [backup-simplify]: Simplify 0 into 0 10.156 * [backup-simplify]: Simplify 1 into 1 10.157 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.157 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.157 * [backup-simplify]: Simplify (- 0) into 0 10.157 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.157 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.158 * [backup-simplify]: Simplify (+ 0) into 0 10.158 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.158 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.159 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.159 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.160 * [backup-simplify]: Simplify (- 0) into 0 10.160 * [backup-simplify]: Simplify (+ 0 0) into 0 10.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 10.161 * [taylor]: Taking taylor expansion of 0 in K 10.161 * [backup-simplify]: Simplify 0 into 0 10.161 * [backup-simplify]: Simplify 0 into 0 10.161 * [taylor]: Taking taylor expansion of 0 in K 10.161 * [backup-simplify]: Simplify 0 into 0 10.161 * [backup-simplify]: Simplify 0 into 0 10.161 * [backup-simplify]: Simplify (+ 0) into 0 10.162 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.162 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.163 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.163 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.163 * [backup-simplify]: Simplify (- 0) into 0 10.164 * [backup-simplify]: Simplify (+ 0 0) into 0 10.164 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 10.164 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 10.164 * [taylor]: Taking taylor expansion of 0 in K 10.164 * [backup-simplify]: Simplify 0 into 0 10.164 * [backup-simplify]: Simplify 0 into 0 10.165 * [backup-simplify]: Simplify 0 into 0 10.165 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 10.165 * [backup-simplify]: Simplify 0 into 0 10.166 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 10.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.167 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 10.168 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.168 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.170 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 10.170 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 10.171 * [backup-simplify]: Simplify (- 0) into 0 10.171 * [backup-simplify]: Simplify (+ 0 0) into 0 10.172 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 10.173 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.173 * [backup-simplify]: 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 10.174 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 10.175 * [backup-simplify]: Simplify (+ 0 0) into 0 10.175 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 10.175 * [taylor]: Taking taylor expansion of 0 in J 10.175 * [backup-simplify]: Simplify 0 into 0 10.175 * [taylor]: Taking taylor expansion of 0 in K 10.175 * [backup-simplify]: Simplify 0 into 0 10.175 * [backup-simplify]: Simplify 0 into 0 10.175 * [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))) 10.175 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 10.176 * [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) 10.176 * [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 10.176 * [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 10.176 * [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 10.176 * [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 10.176 * [taylor]: Taking taylor expansion of 1/4 in K 10.176 * [backup-simplify]: Simplify 1/4 into 1/4 10.176 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 10.176 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 10.176 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 10.176 * [taylor]: Taking taylor expansion of 1/4 in K 10.176 * [backup-simplify]: Simplify 1/4 into 1/4 10.176 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 10.176 * [taylor]: Taking taylor expansion of (pow U 2) in K 10.176 * [taylor]: Taking taylor expansion of U in K 10.176 * [backup-simplify]: Simplify U into U 10.176 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 10.176 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 10.176 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.176 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.177 * [taylor]: Taking taylor expansion of 1/2 in K 10.177 * [backup-simplify]: Simplify 1/2 into 1/2 10.177 * [taylor]: Taking taylor expansion of K in K 10.177 * [backup-simplify]: Simplify 0 into 0 10.177 * [backup-simplify]: Simplify 1 into 1 10.177 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.178 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.178 * [taylor]: Taking taylor expansion of (pow J 2) in K 10.178 * [taylor]: Taking taylor expansion of J in K 10.178 * [backup-simplify]: Simplify J into J 10.178 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.178 * [backup-simplify]: Simplify (* 1 1) into 1 10.178 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.178 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 10.178 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 10.178 * [taylor]: Taking taylor expansion of 1 in K 10.179 * [backup-simplify]: Simplify 1 into 1 10.179 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 10.179 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 10.179 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 10.179 * [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))) 10.180 * [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) 10.180 * [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 10.180 * [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 10.180 * [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 10.180 * [taylor]: Taking taylor expansion of 1/4 in J 10.180 * [backup-simplify]: Simplify 1/4 into 1/4 10.180 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 10.180 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 10.180 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 10.180 * [taylor]: Taking taylor expansion of 1/4 in J 10.180 * [backup-simplify]: Simplify 1/4 into 1/4 10.180 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 10.180 * [taylor]: Taking taylor expansion of (pow U 2) in J 10.180 * [taylor]: Taking taylor expansion of U in J 10.180 * [backup-simplify]: Simplify U into U 10.180 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 10.180 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 10.180 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.180 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.180 * [taylor]: Taking taylor expansion of 1/2 in J 10.180 * [backup-simplify]: Simplify 1/2 into 1/2 10.180 * [taylor]: Taking taylor expansion of K in J 10.180 * [backup-simplify]: Simplify K into K 10.180 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.180 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.180 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.180 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.180 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.181 * [backup-simplify]: Simplify (- 0) into 0 10.181 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.181 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.181 * [taylor]: Taking taylor expansion of J in J 10.181 * [backup-simplify]: Simplify 0 into 0 10.181 * [backup-simplify]: Simplify 1 into 1 10.181 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.181 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 10.182 * [backup-simplify]: Simplify (* 1 1) into 1 10.182 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 10.182 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 10.182 * [taylor]: Taking taylor expansion of 1 in J 10.182 * [backup-simplify]: Simplify 1 into 1 10.182 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 10.182 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 10.183 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 10.183 * [backup-simplify]: Simplify (+ (* (- 2) (log J)) (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))) 10.184 * [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)))) 10.184 * [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))))) 10.184 * [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 10.184 * [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 10.184 * [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 10.184 * [taylor]: Taking taylor expansion of 1/4 in U 10.184 * [backup-simplify]: Simplify 1/4 into 1/4 10.184 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 10.184 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 10.184 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 10.184 * [taylor]: Taking taylor expansion of 1/4 in U 10.184 * [backup-simplify]: Simplify 1/4 into 1/4 10.184 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 10.184 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.184 * [taylor]: Taking taylor expansion of U in U 10.184 * [backup-simplify]: Simplify 0 into 0 10.184 * [backup-simplify]: Simplify 1 into 1 10.184 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 10.184 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 10.184 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.184 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.184 * [taylor]: Taking taylor expansion of 1/2 in U 10.184 * [backup-simplify]: Simplify 1/2 into 1/2 10.184 * [taylor]: Taking taylor expansion of K in U 10.184 * [backup-simplify]: Simplify K into K 10.185 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.185 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.185 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.185 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.185 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.185 * [backup-simplify]: Simplify (- 0) into 0 10.185 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.185 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.185 * [taylor]: Taking taylor expansion of J in U 10.185 * [backup-simplify]: Simplify J into J 10.186 * [backup-simplify]: Simplify (* 1 1) into 1 10.186 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 10.186 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.186 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 10.186 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.186 * [taylor]: Taking taylor expansion of 1 in U 10.186 * [backup-simplify]: Simplify 1 into 1 10.187 * [backup-simplify]: Simplify (+ 0 1) into 1 10.187 * [backup-simplify]: Simplify (log 1) into 0 10.187 * [backup-simplify]: Simplify (* 1/4 0) into 0 10.188 * [backup-simplify]: Simplify (+ 0 0) into 0 10.189 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.189 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 10.190 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.190 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 10.191 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.191 * [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)))) 10.191 * [backup-simplify]: Simplify (exp 0) into 1 10.191 * [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 10.191 * [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 10.191 * [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 10.191 * [taylor]: Taking taylor expansion of 1/4 in U 10.192 * [backup-simplify]: Simplify 1/4 into 1/4 10.192 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 10.192 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 10.192 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 10.192 * [taylor]: Taking taylor expansion of 1/4 in U 10.192 * [backup-simplify]: Simplify 1/4 into 1/4 10.192 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 10.192 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.192 * [taylor]: Taking taylor expansion of U in U 10.192 * [backup-simplify]: Simplify 0 into 0 10.192 * [backup-simplify]: Simplify 1 into 1 10.192 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 10.192 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 10.192 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.192 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.192 * [taylor]: Taking taylor expansion of 1/2 in U 10.192 * [backup-simplify]: Simplify 1/2 into 1/2 10.192 * [taylor]: Taking taylor expansion of K in U 10.192 * [backup-simplify]: Simplify K into K 10.192 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.192 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.192 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.192 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.192 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.192 * [backup-simplify]: Simplify (- 0) into 0 10.192 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.192 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.192 * [taylor]: Taking taylor expansion of J in U 10.192 * [backup-simplify]: Simplify J into J 10.193 * [backup-simplify]: Simplify (* 1 1) into 1 10.193 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 10.193 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.193 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 10.193 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.193 * [taylor]: Taking taylor expansion of 1 in U 10.193 * [backup-simplify]: Simplify 1 into 1 10.193 * [backup-simplify]: Simplify (+ 0 1) into 1 10.194 * [backup-simplify]: Simplify (log 1) into 0 10.194 * [backup-simplify]: Simplify (* 1/4 0) into 0 10.194 * [backup-simplify]: Simplify (+ 0 0) into 0 10.195 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.195 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 10.195 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.195 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 10.197 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.197 * [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)))) 10.197 * [backup-simplify]: Simplify (exp 0) into 1 10.197 * [taylor]: Taking taylor expansion of 1 in J 10.197 * [backup-simplify]: Simplify 1 into 1 10.197 * [taylor]: Taking taylor expansion of 1 in K 10.197 * [backup-simplify]: Simplify 1 into 1 10.197 * [backup-simplify]: Simplify 1 into 1 10.198 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 10.198 * [taylor]: Taking taylor expansion of 0 in J 10.198 * [backup-simplify]: Simplify 0 into 0 10.198 * [taylor]: Taking taylor expansion of 0 in K 10.198 * [backup-simplify]: Simplify 0 into 0 10.198 * [backup-simplify]: Simplify 0 into 0 10.198 * [taylor]: Taking taylor expansion of 0 in K 10.198 * [backup-simplify]: Simplify 0 into 0 10.198 * [backup-simplify]: Simplify 0 into 0 10.198 * [backup-simplify]: Simplify 0 into 0 10.199 * [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))) 10.199 * [taylor]: Taking taylor expansion of (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 10.199 * [taylor]: Taking taylor expansion of 1/16 in J 10.199 * [backup-simplify]: Simplify 1/16 into 1/16 10.199 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 10.199 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 10.199 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.199 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.199 * [taylor]: Taking taylor expansion of 1/2 in J 10.199 * [backup-simplify]: Simplify 1/2 into 1/2 10.199 * [taylor]: Taking taylor expansion of K in J 10.199 * [backup-simplify]: Simplify K into K 10.199 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.199 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.199 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.199 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.199 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.199 * [backup-simplify]: Simplify (- 0) into 0 10.199 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.200 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.200 * [taylor]: Taking taylor expansion of J in J 10.200 * [backup-simplify]: Simplify 0 into 0 10.200 * [backup-simplify]: Simplify 1 into 1 10.200 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 10.200 * [backup-simplify]: Simplify (* 1 1) into 1 10.200 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 10.200 * [backup-simplify]: Simplify (/ 1/16 (pow (cos (* 1/2 K)) 2)) into (/ 1/16 (pow (cos (* 1/2 K)) 2)) 10.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.201 * [backup-simplify]: Simplify (+ 0) into 0 10.201 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.202 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.202 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.202 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.203 * [backup-simplify]: Simplify (- 0) into 0 10.203 * [backup-simplify]: Simplify (+ 0 0) into 0 10.203 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 10.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.204 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.204 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.205 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 10.205 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.206 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.206 * [backup-simplify]: Simplify (- 0) into 0 10.206 * [backup-simplify]: Simplify (+ 0 0) into 0 10.207 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 10.207 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 10.207 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 10.208 * [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 10.208 * [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 10.208 * [taylor]: Taking taylor expansion of 0 in K 10.208 * [backup-simplify]: Simplify 0 into 0 10.208 * [backup-simplify]: Simplify 0 into 0 10.208 * [taylor]: Taking taylor expansion of 0 in K 10.208 * [backup-simplify]: Simplify 0 into 0 10.208 * [backup-simplify]: Simplify 0 into 0 10.208 * [taylor]: Taking taylor expansion of 0 in K 10.208 * [backup-simplify]: Simplify 0 into 0 10.208 * [backup-simplify]: Simplify 0 into 0 10.208 * [backup-simplify]: Simplify 1 into 1 10.208 * [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) 10.208 * [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 10.208 * [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 10.208 * [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 10.208 * [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 10.209 * [taylor]: Taking taylor expansion of 1/4 in K 10.209 * [backup-simplify]: Simplify 1/4 into 1/4 10.209 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 10.209 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 10.209 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 10.209 * [taylor]: Taking taylor expansion of 1/4 in K 10.209 * [backup-simplify]: Simplify 1/4 into 1/4 10.209 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 10.209 * [taylor]: Taking taylor expansion of (pow J 2) in K 10.209 * [taylor]: Taking taylor expansion of J in K 10.209 * [backup-simplify]: Simplify J into J 10.209 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 10.209 * [taylor]: Taking taylor expansion of (pow U 2) in K 10.209 * [taylor]: Taking taylor expansion of U in K 10.209 * [backup-simplify]: Simplify U into U 10.209 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 10.209 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.209 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.209 * [taylor]: Taking taylor expansion of 1/2 in K 10.209 * [backup-simplify]: Simplify 1/2 into 1/2 10.209 * [taylor]: Taking taylor expansion of K in K 10.209 * [backup-simplify]: Simplify 0 into 0 10.209 * [backup-simplify]: Simplify 1 into 1 10.209 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.209 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.209 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.209 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.209 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.209 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 10.210 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 10.210 * [taylor]: Taking taylor expansion of 1 in K 10.210 * [backup-simplify]: Simplify 1 into 1 10.210 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 10.210 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 10.210 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 10.211 * [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))) 10.211 * [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) 10.211 * [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 10.211 * [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 10.211 * [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 10.211 * [taylor]: Taking taylor expansion of 1/4 in J 10.211 * [backup-simplify]: Simplify 1/4 into 1/4 10.211 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 10.211 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 10.211 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 10.211 * [taylor]: Taking taylor expansion of 1/4 in J 10.211 * [backup-simplify]: Simplify 1/4 into 1/4 10.211 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 10.211 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.211 * [taylor]: Taking taylor expansion of J in J 10.211 * [backup-simplify]: Simplify 0 into 0 10.211 * [backup-simplify]: Simplify 1 into 1 10.211 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 10.211 * [taylor]: Taking taylor expansion of (pow U 2) in J 10.211 * [taylor]: Taking taylor expansion of U in J 10.211 * [backup-simplify]: Simplify U into U 10.211 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 10.211 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.211 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.211 * [taylor]: Taking taylor expansion of 1/2 in J 10.211 * [backup-simplify]: Simplify 1/2 into 1/2 10.211 * [taylor]: Taking taylor expansion of K in J 10.211 * [backup-simplify]: Simplify K into K 10.211 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.211 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.211 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.212 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.212 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.212 * [backup-simplify]: Simplify (- 0) into 0 10.212 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.212 * [backup-simplify]: Simplify (* 1 1) into 1 10.212 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.212 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.212 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 10.213 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 10.213 * [taylor]: Taking taylor expansion of 1 in J 10.213 * [backup-simplify]: Simplify 1 into 1 10.213 * [backup-simplify]: Simplify (+ 0 1) into 1 10.213 * [backup-simplify]: Simplify (log 1) into 0 10.213 * [backup-simplify]: Simplify (* 1/4 0) into 0 10.214 * [backup-simplify]: Simplify (+ 0 0) into 0 10.214 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.215 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 10.215 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 10.215 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 10.216 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 10.217 * [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)))) 10.217 * [backup-simplify]: Simplify (exp 0) into 1 10.217 * [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 10.217 * [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 10.217 * [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 10.217 * [taylor]: Taking taylor expansion of 1/4 in U 10.217 * [backup-simplify]: Simplify 1/4 into 1/4 10.217 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 10.217 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 10.217 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 10.217 * [taylor]: Taking taylor expansion of 1/4 in U 10.217 * [backup-simplify]: Simplify 1/4 into 1/4 10.217 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 10.217 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.217 * [taylor]: Taking taylor expansion of J in U 10.217 * [backup-simplify]: Simplify J into J 10.217 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 10.217 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.217 * [taylor]: Taking taylor expansion of U in U 10.217 * [backup-simplify]: Simplify 0 into 0 10.217 * [backup-simplify]: Simplify 1 into 1 10.217 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 10.217 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.217 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.217 * [taylor]: Taking taylor expansion of 1/2 in U 10.217 * [backup-simplify]: Simplify 1/2 into 1/2 10.217 * [taylor]: Taking taylor expansion of K in U 10.217 * [backup-simplify]: Simplify K into K 10.217 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.217 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.217 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.217 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.217 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.218 * [backup-simplify]: Simplify (- 0) into 0 10.218 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.218 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.218 * [backup-simplify]: Simplify (* 1 1) into 1 10.218 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.218 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 10.218 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 10.218 * [taylor]: Taking taylor expansion of 1 in U 10.218 * [backup-simplify]: Simplify 1 into 1 10.218 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 10.219 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 10.219 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 10.219 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 10.219 * [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)))) 10.220 * [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))))) 10.220 * [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 10.220 * [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 10.220 * [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 10.220 * [taylor]: Taking taylor expansion of 1/4 in U 10.220 * [backup-simplify]: Simplify 1/4 into 1/4 10.220 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 10.220 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 10.220 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 10.220 * [taylor]: Taking taylor expansion of 1/4 in U 10.220 * [backup-simplify]: Simplify 1/4 into 1/4 10.220 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 10.220 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.220 * [taylor]: Taking taylor expansion of J in U 10.220 * [backup-simplify]: Simplify J into J 10.220 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 10.220 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.220 * [taylor]: Taking taylor expansion of U in U 10.220 * [backup-simplify]: Simplify 0 into 0 10.220 * [backup-simplify]: Simplify 1 into 1 10.220 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 10.220 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.220 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.220 * [taylor]: Taking taylor expansion of 1/2 in U 10.220 * [backup-simplify]: Simplify 1/2 into 1/2 10.220 * [taylor]: Taking taylor expansion of K in U 10.220 * [backup-simplify]: Simplify K into K 10.220 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.220 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.220 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.220 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.220 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.220 * [backup-simplify]: Simplify (- 0) into 0 10.221 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.221 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.221 * [backup-simplify]: Simplify (* 1 1) into 1 10.221 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.221 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 10.221 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 10.221 * [taylor]: Taking taylor expansion of 1 in U 10.221 * [backup-simplify]: Simplify 1 into 1 10.221 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 10.221 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 10.222 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 10.222 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 10.222 * [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)))) 10.222 * [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))))) 10.222 * [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 10.222 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 10.222 * [taylor]: Taking taylor expansion of 1/4 in J 10.223 * [backup-simplify]: Simplify 1/4 into 1/4 10.223 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 10.223 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 10.223 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 10.223 * [taylor]: Taking taylor expansion of 1/4 in J 10.223 * [backup-simplify]: Simplify 1/4 into 1/4 10.223 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 10.223 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.223 * [taylor]: Taking taylor expansion of J in J 10.223 * [backup-simplify]: Simplify 0 into 0 10.223 * [backup-simplify]: Simplify 1 into 1 10.223 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 10.223 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.223 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.223 * [taylor]: Taking taylor expansion of 1/2 in J 10.223 * [backup-simplify]: Simplify 1/2 into 1/2 10.223 * [taylor]: Taking taylor expansion of K in J 10.223 * [backup-simplify]: Simplify K into K 10.223 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.223 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.223 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.223 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.223 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.223 * [backup-simplify]: Simplify (- 0) into 0 10.223 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.224 * [backup-simplify]: Simplify (* 1 1) into 1 10.224 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.224 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 10.224 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 10.224 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 10.224 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 10.224 * [taylor]: Taking taylor expansion of 2 in J 10.224 * [backup-simplify]: Simplify 2 into 2 10.224 * [taylor]: Taking taylor expansion of (log U) in J 10.224 * [taylor]: Taking taylor expansion of U in J 10.224 * [backup-simplify]: Simplify U into U 10.224 * [backup-simplify]: Simplify (log U) into (log U) 10.224 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 10.225 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 10.225 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 10.225 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 10.225 * [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)))) 10.225 * [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))))) 10.225 * [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 10.225 * [taylor]: Taking taylor expansion of (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 10.225 * [taylor]: Taking taylor expansion of 1/4 in K 10.225 * [backup-simplify]: Simplify 1/4 into 1/4 10.225 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 10.225 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) in K 10.225 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 10.225 * [taylor]: Taking taylor expansion of 2 in K 10.225 * [backup-simplify]: Simplify 2 into 2 10.225 * [taylor]: Taking taylor expansion of (log J) in K 10.225 * [taylor]: Taking taylor expansion of J in K 10.225 * [backup-simplify]: Simplify J into J 10.225 * [backup-simplify]: Simplify (log J) into (log J) 10.225 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) in K 10.225 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K 10.225 * [taylor]: Taking taylor expansion of 1/4 in K 10.225 * [backup-simplify]: Simplify 1/4 into 1/4 10.225 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 10.225 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.225 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.225 * [taylor]: Taking taylor expansion of 1/2 in K 10.225 * [backup-simplify]: Simplify 1/2 into 1/2 10.225 * [taylor]: Taking taylor expansion of K in K 10.226 * [backup-simplify]: Simplify 0 into 0 10.226 * [backup-simplify]: Simplify 1 into 1 10.226 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.226 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.226 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.226 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 10.226 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 10.226 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 10.226 * [taylor]: Taking taylor expansion of 2 in K 10.226 * [backup-simplify]: Simplify 2 into 2 10.226 * [taylor]: Taking taylor expansion of (log U) in K 10.226 * [taylor]: Taking taylor expansion of U in K 10.226 * [backup-simplify]: Simplify U into U 10.226 * [backup-simplify]: Simplify (log U) into (log U) 10.226 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 10.226 * [backup-simplify]: Simplify (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 10.226 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 10.227 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 10.227 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 10.227 * [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)))) 10.227 * [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))))) 10.227 * [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))))) 10.227 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 10.228 * [backup-simplify]: Simplify (+ 0) into 0 10.228 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.228 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.229 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.229 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.229 * [backup-simplify]: Simplify (- 0) into 0 10.229 * [backup-simplify]: Simplify (+ 0 0) into 0 10.229 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 10.230 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.231 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 10.231 * [backup-simplify]: Simplify (+ 0 0) into 0 10.232 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 10.232 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 10.233 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 10.233 * [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 10.233 * [taylor]: Taking taylor expansion of 0 in J 10.234 * [backup-simplify]: Simplify 0 into 0 10.234 * [taylor]: Taking taylor expansion of 0 in K 10.234 * [backup-simplify]: Simplify 0 into 0 10.234 * [backup-simplify]: Simplify 0 into 0 10.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.235 * [backup-simplify]: Simplify (+ 0) into 0 10.235 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.235 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.236 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.237 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.237 * [backup-simplify]: Simplify (- 0) into 0 10.237 * [backup-simplify]: Simplify (+ 0 0) into 0 10.238 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.239 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.239 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 10.240 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 10.241 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 10.241 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 10.242 * [backup-simplify]: Simplify (- 0) into 0 10.242 * [backup-simplify]: Simplify (+ 0 0) into 0 10.243 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 10.244 * [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 10.244 * [taylor]: Taking taylor expansion of 0 in K 10.244 * [backup-simplify]: Simplify 0 into 0 10.244 * [backup-simplify]: Simplify 0 into 0 10.245 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 10.245 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 10.245 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.245 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.246 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 10.246 * [backup-simplify]: Simplify (+ 0 0) into 0 10.247 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 10.247 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 10.247 * [backup-simplify]: Simplify (- 0) into 0 10.248 * [backup-simplify]: Simplify (+ 0 0) into 0 10.248 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 10.249 * [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 10.249 * [backup-simplify]: Simplify 0 into 0 10.249 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 10.250 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.250 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.250 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.251 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.251 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.251 * [backup-simplify]: Simplify (- 0) into 0 10.252 * [backup-simplify]: Simplify (+ 0 0) into 0 10.252 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 10.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 10.253 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.254 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 10.254 * [backup-simplify]: Simplify (+ 0 1) into 1 10.255 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 10.256 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 10.256 * [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)) 10.257 * [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)) 10.257 * [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 10.257 * [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 10.257 * [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 10.257 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 10.257 * [taylor]: Taking taylor expansion of 1/4 in J 10.257 * [backup-simplify]: Simplify 1/4 into 1/4 10.257 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 10.257 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 10.257 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 10.257 * [taylor]: Taking taylor expansion of 1/4 in J 10.257 * [backup-simplify]: Simplify 1/4 into 1/4 10.257 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 10.257 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.257 * [taylor]: Taking taylor expansion of J in J 10.257 * [backup-simplify]: Simplify 0 into 0 10.258 * [backup-simplify]: Simplify 1 into 1 10.258 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 10.258 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.258 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.258 * [taylor]: Taking taylor expansion of 1/2 in J 10.258 * [backup-simplify]: Simplify 1/2 into 1/2 10.258 * [taylor]: Taking taylor expansion of K in J 10.258 * [backup-simplify]: Simplify K into K 10.258 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.258 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.258 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.258 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.258 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.258 * [backup-simplify]: Simplify (- 0) into 0 10.258 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.262 * [backup-simplify]: Simplify (* 1 1) into 1 10.262 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.262 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 10.262 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 10.262 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 10.262 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 10.262 * [taylor]: Taking taylor expansion of 2 in J 10.262 * [backup-simplify]: Simplify 2 into 2 10.262 * [taylor]: Taking taylor expansion of (log U) in J 10.262 * [taylor]: Taking taylor expansion of U in J 10.262 * [backup-simplify]: Simplify U into U 10.262 * [backup-simplify]: Simplify (log U) into (log U) 10.263 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 10.263 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 10.263 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 10.263 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 10.263 * [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)))) 10.263 * [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))))) 10.264 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 10.264 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.264 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.264 * [taylor]: Taking taylor expansion of 1/2 in J 10.264 * [backup-simplify]: Simplify 1/2 into 1/2 10.264 * [taylor]: Taking taylor expansion of K in J 10.264 * [backup-simplify]: Simplify K into K 10.264 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.264 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.264 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.264 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.264 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.264 * [backup-simplify]: Simplify (- 0) into 0 10.264 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.264 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.264 * [taylor]: Taking taylor expansion of J in J 10.264 * [backup-simplify]: Simplify 0 into 0 10.264 * [backup-simplify]: Simplify 1 into 1 10.264 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.265 * [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)) 10.265 * [backup-simplify]: Simplify (* 1 1) into 1 10.265 * [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)) 10.265 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.266 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.266 * [backup-simplify]: Simplify (+ 0) into 0 10.266 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.266 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.267 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.267 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.268 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.268 * [backup-simplify]: Simplify (- 0) into 0 10.268 * [backup-simplify]: Simplify (+ 0 0) into 0 10.269 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.269 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.269 * [backup-simplify]: Simplify (- 0) into 0 10.269 * [backup-simplify]: Simplify (+ 0 0) into 0 10.270 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 10.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.270 * [backup-simplify]: Simplify (+ 0) into 0 10.271 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.271 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.271 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.272 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.272 * [backup-simplify]: Simplify (- 0) into 0 10.272 * [backup-simplify]: Simplify (+ 0 0) into 0 10.272 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.272 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.273 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 10.273 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 10.274 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 10.274 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 10.274 * [backup-simplify]: Simplify (- 0) into 0 10.274 * [backup-simplify]: Simplify (+ 0 0) into 0 10.275 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 10.276 * [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 10.276 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.277 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.277 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.278 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.278 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.279 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.279 * [backup-simplify]: Simplify (- 0) into 0 10.280 * [backup-simplify]: Simplify (+ 0 0) into 0 10.280 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 10.281 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.282 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 10.283 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 10.285 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 10.286 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 10.286 * [backup-simplify]: Simplify (- 0) into 0 10.287 * [backup-simplify]: Simplify (+ 0 0) into 0 10.288 * [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 10.289 * [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 10.290 * [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 10.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.291 * [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 10.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.293 * [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 10.294 * [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 10.294 * [taylor]: Taking taylor expansion of 0 in K 10.294 * [backup-simplify]: Simplify 0 into 0 10.294 * [backup-simplify]: Simplify 0 into 0 10.294 * [taylor]: Taking taylor expansion of 0 in K 10.294 * [backup-simplify]: Simplify 0 into 0 10.294 * [backup-simplify]: Simplify 0 into 0 10.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.295 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.296 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.296 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.296 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.297 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.297 * [backup-simplify]: Simplify (- 0) into 0 10.297 * [backup-simplify]: Simplify (+ 0 0) into 0 10.298 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 10.298 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.298 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 10.299 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 10.300 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 10.301 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 10.301 * [backup-simplify]: Simplify (- 0) into 0 10.302 * [backup-simplify]: Simplify (+ 0 0) into 0 10.302 * [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 10.303 * [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 10.303 * [taylor]: Taking taylor expansion of 0 in K 10.303 * [backup-simplify]: Simplify 0 into 0 10.303 * [backup-simplify]: Simplify 0 into 0 10.304 * [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)))))) 10.304 * [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) 10.304 * [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 10.304 * [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 10.304 * [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 10.304 * [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 10.304 * [taylor]: Taking taylor expansion of 1/4 in K 10.304 * [backup-simplify]: Simplify 1/4 into 1/4 10.304 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 10.304 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 10.304 * [taylor]: Taking taylor expansion of 1 in K 10.304 * [backup-simplify]: Simplify 1 into 1 10.304 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 10.304 * [taylor]: Taking taylor expansion of 1/4 in K 10.304 * [backup-simplify]: Simplify 1/4 into 1/4 10.304 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 10.304 * [taylor]: Taking taylor expansion of (pow J 2) in K 10.304 * [taylor]: Taking taylor expansion of J in K 10.304 * [backup-simplify]: Simplify J into J 10.304 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 10.304 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 10.304 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.304 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.304 * [taylor]: Taking taylor expansion of -1/2 in K 10.305 * [backup-simplify]: Simplify -1/2 into -1/2 10.305 * [taylor]: Taking taylor expansion of K in K 10.305 * [backup-simplify]: Simplify 0 into 0 10.305 * [backup-simplify]: Simplify 1 into 1 10.305 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.305 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.305 * [taylor]: Taking taylor expansion of (pow U 2) in K 10.305 * [taylor]: Taking taylor expansion of U in K 10.305 * [backup-simplify]: Simplify U into U 10.305 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.305 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.305 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.305 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 10.305 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 10.306 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 10.306 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 10.306 * [backup-simplify]: Simplify (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 10.306 * [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))))))) 10.306 * [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) 10.306 * [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 10.307 * [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 10.307 * [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 10.307 * [taylor]: Taking taylor expansion of 1/4 in J 10.307 * [backup-simplify]: Simplify 1/4 into 1/4 10.307 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 10.307 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 10.307 * [taylor]: Taking taylor expansion of 1 in J 10.307 * [backup-simplify]: Simplify 1 into 1 10.307 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 10.307 * [taylor]: Taking taylor expansion of 1/4 in J 10.307 * [backup-simplify]: Simplify 1/4 into 1/4 10.307 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 10.307 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.307 * [taylor]: Taking taylor expansion of J in J 10.307 * [backup-simplify]: Simplify 0 into 0 10.307 * [backup-simplify]: Simplify 1 into 1 10.307 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 10.307 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 10.307 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.307 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.307 * [taylor]: Taking taylor expansion of -1/2 in J 10.307 * [backup-simplify]: Simplify -1/2 into -1/2 10.307 * [taylor]: Taking taylor expansion of K in J 10.307 * [backup-simplify]: Simplify K into K 10.307 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.307 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.307 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.307 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.307 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.308 * [backup-simplify]: Simplify (- 0) into 0 10.308 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.308 * [taylor]: Taking taylor expansion of (pow U 2) in J 10.308 * [taylor]: Taking taylor expansion of U in J 10.308 * [backup-simplify]: Simplify U into U 10.308 * [backup-simplify]: Simplify (* 1 1) into 1 10.308 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.308 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.308 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 10.308 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 10.309 * [backup-simplify]: Simplify (+ 1 0) into 1 10.309 * [backup-simplify]: Simplify (log 1) into 0 10.309 * [backup-simplify]: Simplify (* 1/4 0) into 0 10.309 * [backup-simplify]: Simplify (+ 0 0) into 0 10.310 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.311 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 10.311 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 10.311 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 10.312 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 10.313 * [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)))) 10.313 * [backup-simplify]: Simplify (exp 0) into 1 10.313 * [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 10.313 * [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 10.313 * [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 10.313 * [taylor]: Taking taylor expansion of 1/4 in U 10.313 * [backup-simplify]: Simplify 1/4 into 1/4 10.313 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 10.313 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 10.313 * [taylor]: Taking taylor expansion of 1 in U 10.313 * [backup-simplify]: Simplify 1 into 1 10.313 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 10.313 * [taylor]: Taking taylor expansion of 1/4 in U 10.313 * [backup-simplify]: Simplify 1/4 into 1/4 10.313 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 10.313 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.313 * [taylor]: Taking taylor expansion of J in U 10.313 * [backup-simplify]: Simplify J into J 10.313 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 10.313 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 10.313 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.313 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.313 * [taylor]: Taking taylor expansion of -1/2 in U 10.313 * [backup-simplify]: Simplify -1/2 into -1/2 10.313 * [taylor]: Taking taylor expansion of K in U 10.313 * [backup-simplify]: Simplify K into K 10.313 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.313 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.313 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.313 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.313 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.314 * [backup-simplify]: Simplify (- 0) into 0 10.314 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.314 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.314 * [taylor]: Taking taylor expansion of U in U 10.314 * [backup-simplify]: Simplify 0 into 0 10.314 * [backup-simplify]: Simplify 1 into 1 10.314 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.314 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.314 * [backup-simplify]: Simplify (* 1 1) into 1 10.314 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 10.315 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 10.315 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 10.315 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 10.315 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 10.315 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 10.316 * [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)))) 10.316 * [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))))) 10.316 * [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 10.316 * [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 10.316 * [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 10.316 * [taylor]: Taking taylor expansion of 1/4 in U 10.316 * [backup-simplify]: Simplify 1/4 into 1/4 10.316 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 10.316 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 10.316 * [taylor]: Taking taylor expansion of 1 in U 10.316 * [backup-simplify]: Simplify 1 into 1 10.316 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 10.316 * [taylor]: Taking taylor expansion of 1/4 in U 10.316 * [backup-simplify]: Simplify 1/4 into 1/4 10.316 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 10.316 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.316 * [taylor]: Taking taylor expansion of J in U 10.316 * [backup-simplify]: Simplify J into J 10.316 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 10.316 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 10.316 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.316 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.316 * [taylor]: Taking taylor expansion of -1/2 in U 10.316 * [backup-simplify]: Simplify -1/2 into -1/2 10.316 * [taylor]: Taking taylor expansion of K in U 10.316 * [backup-simplify]: Simplify K into K 10.316 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.316 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.316 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.316 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.316 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.317 * [backup-simplify]: Simplify (- 0) into 0 10.317 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.317 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.317 * [taylor]: Taking taylor expansion of U in U 10.317 * [backup-simplify]: Simplify 0 into 0 10.317 * [backup-simplify]: Simplify 1 into 1 10.317 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.317 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.317 * [backup-simplify]: Simplify (* 1 1) into 1 10.317 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 10.317 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 10.318 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 10.318 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 10.318 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 10.318 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 10.318 * [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)))) 10.319 * [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))))) 10.319 * [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 10.319 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 10.319 * [taylor]: Taking taylor expansion of 1/4 in J 10.319 * [backup-simplify]: Simplify 1/4 into 1/4 10.319 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 10.319 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 10.319 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 10.319 * [taylor]: Taking taylor expansion of 1/4 in J 10.319 * [backup-simplify]: Simplify 1/4 into 1/4 10.319 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 10.319 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.319 * [taylor]: Taking taylor expansion of J in J 10.319 * [backup-simplify]: Simplify 0 into 0 10.319 * [backup-simplify]: Simplify 1 into 1 10.319 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 10.319 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.319 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.319 * [taylor]: Taking taylor expansion of -1/2 in J 10.319 * [backup-simplify]: Simplify -1/2 into -1/2 10.319 * [taylor]: Taking taylor expansion of K in J 10.319 * [backup-simplify]: Simplify K into K 10.319 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.319 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.319 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.319 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.319 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.319 * [backup-simplify]: Simplify (- 0) into 0 10.320 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.320 * [backup-simplify]: Simplify (* 1 1) into 1 10.320 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.320 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 10.320 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 10.320 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 10.320 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 10.320 * [taylor]: Taking taylor expansion of 2 in J 10.320 * [backup-simplify]: Simplify 2 into 2 10.320 * [taylor]: Taking taylor expansion of (log U) in J 10.320 * [taylor]: Taking taylor expansion of U in J 10.320 * [backup-simplify]: Simplify U into U 10.320 * [backup-simplify]: Simplify (log U) into (log U) 10.321 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 10.321 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 10.321 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 10.321 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 10.321 * [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)))) 10.322 * [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))))) 10.322 * [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 10.322 * [taylor]: Taking taylor expansion of (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 10.322 * [taylor]: Taking taylor expansion of 1/4 in K 10.322 * [backup-simplify]: Simplify 1/4 into 1/4 10.322 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 10.322 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) in K 10.322 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 10.322 * [taylor]: Taking taylor expansion of 2 in K 10.322 * [backup-simplify]: Simplify 2 into 2 10.322 * [taylor]: Taking taylor expansion of (log J) in K 10.322 * [taylor]: Taking taylor expansion of J in K 10.322 * [backup-simplify]: Simplify J into J 10.322 * [backup-simplify]: Simplify (log J) into (log J) 10.322 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) in K 10.322 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K 10.322 * [taylor]: Taking taylor expansion of 1/4 in K 10.322 * [backup-simplify]: Simplify 1/4 into 1/4 10.322 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 10.322 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.322 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.322 * [taylor]: Taking taylor expansion of -1/2 in K 10.322 * [backup-simplify]: Simplify -1/2 into -1/2 10.322 * [taylor]: Taking taylor expansion of K in K 10.322 * [backup-simplify]: Simplify 0 into 0 10.322 * [backup-simplify]: Simplify 1 into 1 10.323 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.323 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.323 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.323 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 10.323 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 10.323 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 10.323 * [taylor]: Taking taylor expansion of 2 in K 10.323 * [backup-simplify]: Simplify 2 into 2 10.323 * [taylor]: Taking taylor expansion of (log U) in K 10.323 * [taylor]: Taking taylor expansion of U in K 10.323 * [backup-simplify]: Simplify U into U 10.323 * [backup-simplify]: Simplify (log U) into (log U) 10.323 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 10.324 * [backup-simplify]: Simplify (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 10.324 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 10.324 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 10.324 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 10.324 * [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)))) 10.325 * [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))))) 10.325 * [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))))) 10.325 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 10.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.326 * [backup-simplify]: Simplify (+ 0) into 0 10.327 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.327 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.328 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.328 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.329 * [backup-simplify]: Simplify (- 0) into 0 10.329 * [backup-simplify]: Simplify (+ 0 0) into 0 10.329 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 10.330 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 10.330 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 10.331 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 10.331 * [backup-simplify]: Simplify (+ 0 0) into 0 10.332 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 10.333 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 10.333 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 10.334 * [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 10.334 * [taylor]: Taking taylor expansion of 0 in J 10.334 * [backup-simplify]: Simplify 0 into 0 10.334 * [taylor]: Taking taylor expansion of 0 in K 10.334 * [backup-simplify]: Simplify 0 into 0 10.335 * [backup-simplify]: Simplify 0 into 0 10.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.336 * [backup-simplify]: Simplify (+ 0) into 0 10.336 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.336 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.337 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.338 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.338 * [backup-simplify]: Simplify (- 0) into 0 10.338 * [backup-simplify]: Simplify (+ 0 0) into 0 10.339 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 10.339 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 10.339 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 10.340 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 10.341 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 10.342 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 10.342 * [backup-simplify]: Simplify (- 0) into 0 10.342 * [backup-simplify]: Simplify (+ 0 0) into 0 10.343 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 10.344 * [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 10.344 * [taylor]: Taking taylor expansion of 0 in K 10.344 * [backup-simplify]: Simplify 0 into 0 10.344 * [backup-simplify]: Simplify 0 into 0 10.345 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 10.345 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 10.346 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 10.346 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 10.347 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 10.347 * [backup-simplify]: Simplify (+ 0 0) into 0 10.348 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 10.348 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 10.349 * [backup-simplify]: Simplify (- 0) into 0 10.349 * [backup-simplify]: Simplify (+ 0 0) into 0 10.350 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 10.351 * [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 10.351 * [backup-simplify]: Simplify 0 into 0 10.352 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 10.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.354 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.355 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.355 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.356 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.356 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.356 * [backup-simplify]: Simplify (- 0) into 0 10.357 * [backup-simplify]: Simplify (+ 0 0) into 0 10.357 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 10.358 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 10.359 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 10.360 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 10.360 * [backup-simplify]: Simplify (+ 1 0) into 1 10.362 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 10.363 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 10.364 * [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)) 10.365 * [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)) 10.365 * [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 10.365 * [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 10.365 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 10.365 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.365 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.365 * [taylor]: Taking taylor expansion of -1/2 in J 10.365 * [backup-simplify]: Simplify -1/2 into -1/2 10.365 * [taylor]: Taking taylor expansion of K in J 10.365 * [backup-simplify]: Simplify K into K 10.365 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.365 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.365 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.365 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.365 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.366 * [backup-simplify]: Simplify (- 0) into 0 10.366 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.366 * [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 10.366 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 10.366 * [taylor]: Taking taylor expansion of 1/4 in J 10.366 * [backup-simplify]: Simplify 1/4 into 1/4 10.366 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 10.366 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 10.366 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 10.366 * [taylor]: Taking taylor expansion of 1/4 in J 10.366 * [backup-simplify]: Simplify 1/4 into 1/4 10.366 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 10.366 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.366 * [taylor]: Taking taylor expansion of J in J 10.366 * [backup-simplify]: Simplify 0 into 0 10.366 * [backup-simplify]: Simplify 1 into 1 10.366 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 10.366 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.366 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.366 * [taylor]: Taking taylor expansion of -1/2 in J 10.366 * [backup-simplify]: Simplify -1/2 into -1/2 10.366 * [taylor]: Taking taylor expansion of K in J 10.366 * [backup-simplify]: Simplify K into K 10.367 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.367 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.367 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.367 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.367 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.367 * [backup-simplify]: Simplify (- 0) into 0 10.367 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.368 * [backup-simplify]: Simplify (* 1 1) into 1 10.368 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.368 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 10.368 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 10.368 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 10.368 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 10.368 * [taylor]: Taking taylor expansion of 2 in J 10.368 * [backup-simplify]: Simplify 2 into 2 10.368 * [taylor]: Taking taylor expansion of (log U) in J 10.368 * [taylor]: Taking taylor expansion of U in J 10.368 * [backup-simplify]: Simplify U into U 10.368 * [backup-simplify]: Simplify (log U) into (log U) 10.369 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 10.369 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 10.369 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 10.369 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 10.370 * [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)))) 10.370 * [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))))) 10.370 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.370 * [taylor]: Taking taylor expansion of J in J 10.370 * [backup-simplify]: Simplify 0 into 0 10.370 * [backup-simplify]: Simplify 1 into 1 10.370 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.371 * [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)))))) 10.371 * [backup-simplify]: Simplify (* 1 1) into 1 10.372 * [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)))))) 10.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.373 * [backup-simplify]: Simplify (+ 0) into 0 10.373 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.373 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.374 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.374 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.374 * [backup-simplify]: Simplify (- 0) into 0 10.374 * [backup-simplify]: Simplify (+ 0 0) into 0 10.375 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 10.375 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 10.375 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 10.376 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 10.376 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 10.376 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 10.377 * [backup-simplify]: Simplify (- 0) into 0 10.377 * [backup-simplify]: Simplify (+ 0 0) into 0 10.377 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 10.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.379 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.379 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.379 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.383 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.384 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.384 * [backup-simplify]: Simplify (- 0) into 0 10.384 * [backup-simplify]: Simplify (+ 0 0) into 0 10.385 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 10.385 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 10.386 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 10.387 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 10.388 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 10.388 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 10.389 * [backup-simplify]: Simplify (- 0) into 0 10.389 * [backup-simplify]: Simplify (+ 0 0) into 0 10.390 * [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 10.391 * [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 10.391 * [backup-simplify]: Simplify (+ 0) into 0 10.391 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.391 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.392 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.392 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.392 * [backup-simplify]: Simplify (- 0) into 0 10.393 * [backup-simplify]: Simplify (+ 0 0) into 0 10.393 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 10.393 * [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 10.394 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.395 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.395 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.395 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.396 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.396 * [backup-simplify]: Simplify (- 0) into 0 10.396 * [backup-simplify]: Simplify (+ 0 0) into 0 10.396 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 10.397 * [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 10.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.398 * [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 10.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.399 * [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 10.400 * [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 10.400 * [taylor]: Taking taylor expansion of 0 in K 10.400 * [backup-simplify]: Simplify 0 into 0 10.400 * [backup-simplify]: Simplify 0 into 0 10.400 * [taylor]: Taking taylor expansion of 0 in K 10.400 * [backup-simplify]: Simplify 0 into 0 10.400 * [backup-simplify]: Simplify 0 into 0 10.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.401 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.402 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.402 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.402 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.403 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.403 * [backup-simplify]: Simplify (- 0) into 0 10.403 * [backup-simplify]: Simplify (+ 0 0) into 0 10.404 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 10.404 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 10.404 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 10.406 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 10.407 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 10.407 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 10.407 * [backup-simplify]: Simplify (- 0) into 0 10.408 * [backup-simplify]: Simplify (+ 0 0) into 0 10.408 * [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 10.409 * [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 10.409 * [taylor]: Taking taylor expansion of 0 in K 10.409 * [backup-simplify]: Simplify 0 into 0 10.409 * [backup-simplify]: Simplify 0 into 0 10.410 * [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)))))) 10.410 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 10.410 * [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) 10.410 * [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 10.410 * [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 10.410 * [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 10.410 * [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 10.410 * [taylor]: Taking taylor expansion of 1/4 in K 10.410 * [backup-simplify]: Simplify 1/4 into 1/4 10.410 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 10.410 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 10.410 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 10.410 * [taylor]: Taking taylor expansion of 1/4 in K 10.410 * [backup-simplify]: Simplify 1/4 into 1/4 10.410 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 10.410 * [taylor]: Taking taylor expansion of (pow U 2) in K 10.410 * [taylor]: Taking taylor expansion of U in K 10.410 * [backup-simplify]: Simplify U into U 10.410 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 10.410 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 10.410 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 10.410 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 10.410 * [taylor]: Taking taylor expansion of 1/2 in K 10.410 * [backup-simplify]: Simplify 1/2 into 1/2 10.410 * [taylor]: Taking taylor expansion of K in K 10.410 * [backup-simplify]: Simplify 0 into 0 10.410 * [backup-simplify]: Simplify 1 into 1 10.411 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.411 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.411 * [taylor]: Taking taylor expansion of (pow J 2) in K 10.411 * [taylor]: Taking taylor expansion of J in K 10.411 * [backup-simplify]: Simplify J into J 10.411 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.411 * [backup-simplify]: Simplify (* 1 1) into 1 10.412 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.412 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 10.412 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 10.412 * [taylor]: Taking taylor expansion of 1 in K 10.412 * [backup-simplify]: Simplify 1 into 1 10.412 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 10.412 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 10.412 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 10.412 * [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))) 10.413 * [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) 10.413 * [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 10.413 * [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 10.413 * [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 10.413 * [taylor]: Taking taylor expansion of 1/4 in J 10.413 * [backup-simplify]: Simplify 1/4 into 1/4 10.413 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 10.413 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 10.413 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 10.413 * [taylor]: Taking taylor expansion of 1/4 in J 10.413 * [backup-simplify]: Simplify 1/4 into 1/4 10.413 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 10.413 * [taylor]: Taking taylor expansion of (pow U 2) in J 10.413 * [taylor]: Taking taylor expansion of U in J 10.413 * [backup-simplify]: Simplify U into U 10.413 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 10.413 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 10.413 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.413 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.413 * [taylor]: Taking taylor expansion of 1/2 in J 10.413 * [backup-simplify]: Simplify 1/2 into 1/2 10.413 * [taylor]: Taking taylor expansion of K in J 10.413 * [backup-simplify]: Simplify K into K 10.413 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.413 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.413 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.413 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.413 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.414 * [backup-simplify]: Simplify (- 0) into 0 10.414 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.414 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.414 * [taylor]: Taking taylor expansion of J in J 10.414 * [backup-simplify]: Simplify 0 into 0 10.414 * [backup-simplify]: Simplify 1 into 1 10.414 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.414 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 10.414 * [backup-simplify]: Simplify (* 1 1) into 1 10.414 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 10.414 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 10.414 * [taylor]: Taking taylor expansion of 1 in J 10.414 * [backup-simplify]: Simplify 1 into 1 10.414 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 10.415 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 10.415 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 10.415 * [backup-simplify]: Simplify (+ (* (- 2) (log J)) (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))) 10.415 * [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)))) 10.415 * [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))))) 10.415 * [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 10.415 * [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 10.415 * [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 10.416 * [taylor]: Taking taylor expansion of 1/4 in U 10.416 * [backup-simplify]: Simplify 1/4 into 1/4 10.416 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 10.416 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 10.416 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 10.416 * [taylor]: Taking taylor expansion of 1/4 in U 10.416 * [backup-simplify]: Simplify 1/4 into 1/4 10.416 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 10.416 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.416 * [taylor]: Taking taylor expansion of U in U 10.416 * [backup-simplify]: Simplify 0 into 0 10.416 * [backup-simplify]: Simplify 1 into 1 10.416 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 10.416 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 10.416 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.416 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.416 * [taylor]: Taking taylor expansion of 1/2 in U 10.416 * [backup-simplify]: Simplify 1/2 into 1/2 10.416 * [taylor]: Taking taylor expansion of K in U 10.416 * [backup-simplify]: Simplify K into K 10.416 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.416 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.416 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.416 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.416 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.416 * [backup-simplify]: Simplify (- 0) into 0 10.416 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.416 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.416 * [taylor]: Taking taylor expansion of J in U 10.416 * [backup-simplify]: Simplify J into J 10.417 * [backup-simplify]: Simplify (* 1 1) into 1 10.417 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 10.417 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.417 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 10.417 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.417 * [taylor]: Taking taylor expansion of 1 in U 10.417 * [backup-simplify]: Simplify 1 into 1 10.417 * [backup-simplify]: Simplify (+ 0 1) into 1 10.418 * [backup-simplify]: Simplify (log 1) into 0 10.418 * [backup-simplify]: Simplify (* 1/4 0) into 0 10.418 * [backup-simplify]: Simplify (+ 0 0) into 0 10.419 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.419 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 10.419 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.420 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 10.421 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.421 * [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)))) 10.421 * [backup-simplify]: Simplify (exp 0) into 1 10.421 * [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 10.421 * [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 10.421 * [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 10.421 * [taylor]: Taking taylor expansion of 1/4 in U 10.421 * [backup-simplify]: Simplify 1/4 into 1/4 10.421 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 10.421 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 10.421 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 10.421 * [taylor]: Taking taylor expansion of 1/4 in U 10.421 * [backup-simplify]: Simplify 1/4 into 1/4 10.422 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 10.422 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.422 * [taylor]: Taking taylor expansion of U in U 10.422 * [backup-simplify]: Simplify 0 into 0 10.422 * [backup-simplify]: Simplify 1 into 1 10.422 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 10.422 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 10.422 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 10.422 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 10.422 * [taylor]: Taking taylor expansion of 1/2 in U 10.422 * [backup-simplify]: Simplify 1/2 into 1/2 10.422 * [taylor]: Taking taylor expansion of K in U 10.422 * [backup-simplify]: Simplify K into K 10.422 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.422 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.422 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.422 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.422 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.422 * [backup-simplify]: Simplify (- 0) into 0 10.422 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.422 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.422 * [taylor]: Taking taylor expansion of J in U 10.422 * [backup-simplify]: Simplify J into J 10.423 * [backup-simplify]: Simplify (* 1 1) into 1 10.423 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 10.423 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.423 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 10.423 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.423 * [taylor]: Taking taylor expansion of 1 in U 10.423 * [backup-simplify]: Simplify 1 into 1 10.423 * [backup-simplify]: Simplify (+ 0 1) into 1 10.423 * [backup-simplify]: Simplify (log 1) into 0 10.424 * [backup-simplify]: Simplify (* 1/4 0) into 0 10.424 * [backup-simplify]: Simplify (+ 0 0) into 0 10.425 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.425 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 10.426 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.426 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 10.428 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 10.428 * [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)))) 10.428 * [backup-simplify]: Simplify (exp 0) into 1 10.429 * [taylor]: Taking taylor expansion of 1 in J 10.429 * [backup-simplify]: Simplify 1 into 1 10.429 * [taylor]: Taking taylor expansion of 1 in K 10.429 * [backup-simplify]: Simplify 1 into 1 10.429 * [backup-simplify]: Simplify 1 into 1 10.430 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 10.430 * [taylor]: Taking taylor expansion of 0 in J 10.430 * [backup-simplify]: Simplify 0 into 0 10.430 * [taylor]: Taking taylor expansion of 0 in K 10.430 * [backup-simplify]: Simplify 0 into 0 10.430 * [backup-simplify]: Simplify 0 into 0 10.430 * [taylor]: Taking taylor expansion of 0 in K 10.430 * [backup-simplify]: Simplify 0 into 0 10.430 * [backup-simplify]: Simplify 0 into 0 10.430 * [backup-simplify]: Simplify 0 into 0 10.431 * [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))) 10.431 * [taylor]: Taking taylor expansion of (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 10.431 * [taylor]: Taking taylor expansion of 1/16 in J 10.431 * [backup-simplify]: Simplify 1/16 into 1/16 10.431 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 10.431 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 10.431 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 10.431 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 10.431 * [taylor]: Taking taylor expansion of 1/2 in J 10.431 * [backup-simplify]: Simplify 1/2 into 1/2 10.431 * [taylor]: Taking taylor expansion of K in J 10.431 * [backup-simplify]: Simplify K into K 10.431 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 10.431 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 10.431 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 10.431 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 10.432 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 10.432 * [backup-simplify]: Simplify (- 0) into 0 10.432 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 10.432 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.432 * [taylor]: Taking taylor expansion of J in J 10.432 * [backup-simplify]: Simplify 0 into 0 10.432 * [backup-simplify]: Simplify 1 into 1 10.432 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 10.433 * [backup-simplify]: Simplify (* 1 1) into 1 10.433 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 10.433 * [backup-simplify]: Simplify (/ 1/16 (pow (cos (* 1/2 K)) 2)) into (/ 1/16 (pow (cos (* 1/2 K)) 2)) 10.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.434 * [backup-simplify]: Simplify (+ 0) into 0 10.434 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 10.435 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 10.436 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.436 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 10.436 * [backup-simplify]: Simplify (- 0) into 0 10.437 * [backup-simplify]: Simplify (+ 0 0) into 0 10.437 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 10.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.438 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.439 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.440 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 10.440 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.441 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.441 * [backup-simplify]: Simplify (- 0) into 0 10.442 * [backup-simplify]: Simplify (+ 0 0) into 0 10.442 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 10.443 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 10.443 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 10.444 * [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 10.444 * [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 10.444 * [taylor]: Taking taylor expansion of 0 in K 10.444 * [backup-simplify]: Simplify 0 into 0 10.444 * [backup-simplify]: Simplify 0 into 0 10.444 * [taylor]: Taking taylor expansion of 0 in K 10.444 * [backup-simplify]: Simplify 0 into 0 10.444 * [backup-simplify]: Simplify 0 into 0 10.444 * [taylor]: Taking taylor expansion of 0 in K 10.444 * [backup-simplify]: Simplify 0 into 0 10.444 * [backup-simplify]: Simplify 0 into 0 10.444 * [backup-simplify]: Simplify 1 into 1 10.445 * [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) 10.445 * [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 10.445 * [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 10.445 * [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 10.445 * [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 10.445 * [taylor]: Taking taylor expansion of 1/4 in K 10.445 * [backup-simplify]: Simplify 1/4 into 1/4 10.445 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 10.445 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 10.445 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 10.445 * [taylor]: Taking taylor expansion of 1/4 in K 10.445 * [backup-simplify]: Simplify 1/4 into 1/4 10.445 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 10.445 * [taylor]: Taking taylor expansion of (pow J 2) in K 10.445 * [taylor]: Taking taylor expansion of J in K 10.445 * [backup-simplify]: Simplify J into J 10.445 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 10.445 * [taylor]: Taking taylor expansion of (pow U 2) in K 10.445 * [taylor]: Taking taylor expansion of U in K 10.445 * [backup-simplify]: Simplify U into U 10.446 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 10.446 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.446 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.446 * [taylor]: Taking taylor expansion of 1/2 in K 10.446 * [backup-simplify]: Simplify 1/2 into 1/2 10.446 * [taylor]: Taking taylor expansion of K in K 10.446 * [backup-simplify]: Simplify 0 into 0 10.446 * [backup-simplify]: Simplify 1 into 1 10.446 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.446 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.446 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.446 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.446 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.447 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 10.447 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 10.447 * [taylor]: Taking taylor expansion of 1 in K 10.447 * [backup-simplify]: Simplify 1 into 1 10.447 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 10.447 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 10.448 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 10.448 * [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))) 10.449 * [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) 10.449 * [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 10.449 * [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 10.449 * [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 10.449 * [taylor]: Taking taylor expansion of 1/4 in J 10.449 * [backup-simplify]: Simplify 1/4 into 1/4 10.449 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 10.449 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 10.449 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 10.449 * [taylor]: Taking taylor expansion of 1/4 in J 10.449 * [backup-simplify]: Simplify 1/4 into 1/4 10.449 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 10.449 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.449 * [taylor]: Taking taylor expansion of J in J 10.449 * [backup-simplify]: Simplify 0 into 0 10.449 * [backup-simplify]: Simplify 1 into 1 10.449 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 10.449 * [taylor]: Taking taylor expansion of (pow U 2) in J 10.449 * [taylor]: Taking taylor expansion of U in J 10.449 * [backup-simplify]: Simplify U into U 10.449 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 10.449 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.449 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.449 * [taylor]: Taking taylor expansion of 1/2 in J 10.449 * [backup-simplify]: Simplify 1/2 into 1/2 10.449 * [taylor]: Taking taylor expansion of K in J 10.449 * [backup-simplify]: Simplify K into K 10.449 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.449 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.449 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.449 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.450 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.450 * [backup-simplify]: Simplify (- 0) into 0 10.450 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.450 * [backup-simplify]: Simplify (* 1 1) into 1 10.451 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.451 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.451 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 10.451 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 10.451 * [taylor]: Taking taylor expansion of 1 in J 10.451 * [backup-simplify]: Simplify 1 into 1 10.451 * [backup-simplify]: Simplify (+ 0 1) into 1 10.452 * [backup-simplify]: Simplify (log 1) into 0 10.452 * [backup-simplify]: Simplify (* 1/4 0) into 0 10.453 * [backup-simplify]: Simplify (+ 0 0) into 0 10.454 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.454 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 10.455 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 10.455 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 10.457 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 10.457 * [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)))) 10.457 * [backup-simplify]: Simplify (exp 0) into 1 10.457 * [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 10.458 * [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 10.458 * [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 10.458 * [taylor]: Taking taylor expansion of 1/4 in U 10.458 * [backup-simplify]: Simplify 1/4 into 1/4 10.458 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 10.458 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 10.458 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 10.458 * [taylor]: Taking taylor expansion of 1/4 in U 10.458 * [backup-simplify]: Simplify 1/4 into 1/4 10.458 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 10.458 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.458 * [taylor]: Taking taylor expansion of J in U 10.458 * [backup-simplify]: Simplify J into J 10.458 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 10.458 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.458 * [taylor]: Taking taylor expansion of U in U 10.458 * [backup-simplify]: Simplify 0 into 0 10.458 * [backup-simplify]: Simplify 1 into 1 10.458 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 10.458 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.458 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.458 * [taylor]: Taking taylor expansion of 1/2 in U 10.458 * [backup-simplify]: Simplify 1/2 into 1/2 10.458 * [taylor]: Taking taylor expansion of K in U 10.458 * [backup-simplify]: Simplify K into K 10.458 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.458 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.458 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.458 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.458 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.459 * [backup-simplify]: Simplify (- 0) into 0 10.459 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.459 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.459 * [backup-simplify]: Simplify (* 1 1) into 1 10.459 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.460 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 10.460 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 10.460 * [taylor]: Taking taylor expansion of 1 in U 10.460 * [backup-simplify]: Simplify 1 into 1 10.460 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 10.460 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 10.460 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 10.461 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 10.461 * [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)))) 10.462 * [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))))) 10.462 * [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 10.462 * [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 10.462 * [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 10.462 * [taylor]: Taking taylor expansion of 1/4 in U 10.462 * [backup-simplify]: Simplify 1/4 into 1/4 10.462 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 10.462 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 10.462 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 10.462 * [taylor]: Taking taylor expansion of 1/4 in U 10.462 * [backup-simplify]: Simplify 1/4 into 1/4 10.462 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 10.462 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.462 * [taylor]: Taking taylor expansion of J in U 10.462 * [backup-simplify]: Simplify J into J 10.462 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 10.462 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.462 * [taylor]: Taking taylor expansion of U in U 10.462 * [backup-simplify]: Simplify 0 into 0 10.462 * [backup-simplify]: Simplify 1 into 1 10.462 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 10.462 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 10.462 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 10.462 * [taylor]: Taking taylor expansion of 1/2 in U 10.462 * [backup-simplify]: Simplify 1/2 into 1/2 10.462 * [taylor]: Taking taylor expansion of K in U 10.462 * [backup-simplify]: Simplify K into K 10.462 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.462 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.462 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.463 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.463 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.463 * [backup-simplify]: Simplify (- 0) into 0 10.464 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.464 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.464 * [backup-simplify]: Simplify (* 1 1) into 1 10.464 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.464 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 10.464 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 10.464 * [taylor]: Taking taylor expansion of 1 in U 10.464 * [backup-simplify]: Simplify 1 into 1 10.465 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 10.465 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 10.465 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 10.466 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 10.466 * [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)))) 10.466 * [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))))) 10.467 * [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 10.467 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 10.467 * [taylor]: Taking taylor expansion of 1/4 in J 10.467 * [backup-simplify]: Simplify 1/4 into 1/4 10.467 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 10.467 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 10.467 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 10.467 * [taylor]: Taking taylor expansion of 1/4 in J 10.467 * [backup-simplify]: Simplify 1/4 into 1/4 10.467 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 10.467 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.467 * [taylor]: Taking taylor expansion of J in J 10.467 * [backup-simplify]: Simplify 0 into 0 10.467 * [backup-simplify]: Simplify 1 into 1 10.467 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 10.467 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.467 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.467 * [taylor]: Taking taylor expansion of 1/2 in J 10.467 * [backup-simplify]: Simplify 1/2 into 1/2 10.467 * [taylor]: Taking taylor expansion of K in J 10.467 * [backup-simplify]: Simplify K into K 10.467 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.467 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.467 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.467 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.467 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.468 * [backup-simplify]: Simplify (- 0) into 0 10.468 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.468 * [backup-simplify]: Simplify (* 1 1) into 1 10.468 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.468 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 10.469 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 10.469 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 10.469 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 10.469 * [taylor]: Taking taylor expansion of 2 in J 10.469 * [backup-simplify]: Simplify 2 into 2 10.469 * [taylor]: Taking taylor expansion of (log U) in J 10.469 * [taylor]: Taking taylor expansion of U in J 10.469 * [backup-simplify]: Simplify U into U 10.469 * [backup-simplify]: Simplify (log U) into (log U) 10.469 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 10.470 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 10.470 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 10.470 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 10.470 * [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)))) 10.470 * [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))))) 10.470 * [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 10.470 * [taylor]: Taking taylor expansion of (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 10.471 * [taylor]: Taking taylor expansion of 1/4 in K 10.471 * [backup-simplify]: Simplify 1/4 into 1/4 10.471 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 10.471 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) in K 10.471 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 10.471 * [taylor]: Taking taylor expansion of 2 in K 10.471 * [backup-simplify]: Simplify 2 into 2 10.471 * [taylor]: Taking taylor expansion of (log J) in K 10.471 * [taylor]: Taking taylor expansion of J in K 10.471 * [backup-simplify]: Simplify J into J 10.471 * [backup-simplify]: Simplify (log J) into (log J) 10.471 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) in K 10.471 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K 10.471 * [taylor]: Taking taylor expansion of 1/4 in K 10.471 * [backup-simplify]: Simplify 1/4 into 1/4 10.471 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 10.471 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 10.471 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 10.471 * [taylor]: Taking taylor expansion of 1/2 in K 10.471 * [backup-simplify]: Simplify 1/2 into 1/2 10.471 * [taylor]: Taking taylor expansion of K in K 10.471 * [backup-simplify]: Simplify 0 into 0 10.471 * [backup-simplify]: Simplify 1 into 1 10.471 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.472 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.472 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.472 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 10.472 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 10.472 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 10.472 * [taylor]: Taking taylor expansion of 2 in K 10.472 * [backup-simplify]: Simplify 2 into 2 10.472 * [taylor]: Taking taylor expansion of (log U) in K 10.472 * [taylor]: Taking taylor expansion of U in K 10.472 * [backup-simplify]: Simplify U into U 10.472 * [backup-simplify]: Simplify (log U) into (log U) 10.472 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 10.472 * [backup-simplify]: Simplify (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 10.472 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 10.472 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 10.473 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 10.473 * [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)))) 10.473 * [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))))) 10.474 * [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))))) 10.474 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 10.474 * [backup-simplify]: Simplify (+ 0) into 0 10.475 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.475 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.476 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.476 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.476 * [backup-simplify]: Simplify (- 0) into 0 10.477 * [backup-simplify]: Simplify (+ 0 0) into 0 10.477 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 10.478 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.479 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 10.479 * [backup-simplify]: Simplify (+ 0 0) into 0 10.480 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 10.481 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 10.481 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 10.482 * [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 10.482 * [taylor]: Taking taylor expansion of 0 in J 10.483 * [backup-simplify]: Simplify 0 into 0 10.483 * [taylor]: Taking taylor expansion of 0 in K 10.483 * [backup-simplify]: Simplify 0 into 0 10.483 * [backup-simplify]: Simplify 0 into 0 10.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.484 * [backup-simplify]: Simplify (+ 0) into 0 10.484 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.484 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.485 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.485 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.486 * [backup-simplify]: Simplify (- 0) into 0 10.486 * [backup-simplify]: Simplify (+ 0 0) into 0 10.486 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.487 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.487 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 10.488 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 10.489 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 10.489 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 10.490 * [backup-simplify]: Simplify (- 0) into 0 10.490 * [backup-simplify]: Simplify (+ 0 0) into 0 10.491 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 10.492 * [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 10.492 * [taylor]: Taking taylor expansion of 0 in K 10.492 * [backup-simplify]: Simplify 0 into 0 10.492 * [backup-simplify]: Simplify 0 into 0 10.492 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 10.493 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 10.493 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.493 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.494 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 10.495 * [backup-simplify]: Simplify (+ 0 0) into 0 10.495 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 10.496 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 10.496 * [backup-simplify]: Simplify (- 0) into 0 10.496 * [backup-simplify]: Simplify (+ 0 0) into 0 10.497 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 10.498 * [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 10.498 * [backup-simplify]: Simplify 0 into 0 10.499 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 10.499 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.500 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.500 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.501 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.502 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.502 * [backup-simplify]: Simplify (- 0) into 0 10.502 * [backup-simplify]: Simplify (+ 0 0) into 0 10.503 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 10.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 10.510 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.511 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 10.511 * [backup-simplify]: Simplify (+ 0 1) into 1 10.514 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 10.514 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 10.515 * [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)) 10.516 * [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)) 10.516 * [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 10.516 * [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 10.516 * [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 10.516 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 10.516 * [taylor]: Taking taylor expansion of 1/4 in J 10.516 * [backup-simplify]: Simplify 1/4 into 1/4 10.516 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 10.516 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 10.516 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 10.516 * [taylor]: Taking taylor expansion of 1/4 in J 10.516 * [backup-simplify]: Simplify 1/4 into 1/4 10.516 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 10.517 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.517 * [taylor]: Taking taylor expansion of J in J 10.517 * [backup-simplify]: Simplify 0 into 0 10.517 * [backup-simplify]: Simplify 1 into 1 10.517 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 10.517 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.517 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.517 * [taylor]: Taking taylor expansion of 1/2 in J 10.517 * [backup-simplify]: Simplify 1/2 into 1/2 10.517 * [taylor]: Taking taylor expansion of K in J 10.517 * [backup-simplify]: Simplify K into K 10.517 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.517 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.517 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.517 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.517 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.517 * [backup-simplify]: Simplify (- 0) into 0 10.518 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.518 * [backup-simplify]: Simplify (* 1 1) into 1 10.518 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.518 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 10.518 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 10.518 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 10.518 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 10.518 * [taylor]: Taking taylor expansion of 2 in J 10.518 * [backup-simplify]: Simplify 2 into 2 10.518 * [taylor]: Taking taylor expansion of (log U) in J 10.519 * [taylor]: Taking taylor expansion of U in J 10.519 * [backup-simplify]: Simplify U into U 10.519 * [backup-simplify]: Simplify (log U) into (log U) 10.519 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 10.519 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 10.519 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 10.519 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 10.520 * [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)))) 10.520 * [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))))) 10.520 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 10.520 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 10.520 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 10.520 * [taylor]: Taking taylor expansion of 1/2 in J 10.520 * [backup-simplify]: Simplify 1/2 into 1/2 10.520 * [taylor]: Taking taylor expansion of K in J 10.520 * [backup-simplify]: Simplify K into K 10.520 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 10.520 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 10.520 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 10.520 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 10.521 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 10.521 * [backup-simplify]: Simplify (- 0) into 0 10.521 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 10.521 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.521 * [taylor]: Taking taylor expansion of J in J 10.521 * [backup-simplify]: Simplify 0 into 0 10.521 * [backup-simplify]: Simplify 1 into 1 10.521 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 10.522 * [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)) 10.522 * [backup-simplify]: Simplify (* 1 1) into 1 10.522 * [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)) 10.523 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.523 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.524 * [backup-simplify]: Simplify (+ 0) into 0 10.524 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.524 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.525 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.526 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.526 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.526 * [backup-simplify]: Simplify (- 0) into 0 10.526 * [backup-simplify]: Simplify (+ 0 0) into 0 10.527 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.527 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.527 * [backup-simplify]: Simplify (- 0) into 0 10.527 * [backup-simplify]: Simplify (+ 0 0) into 0 10.528 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 10.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.528 * [backup-simplify]: Simplify (+ 0) into 0 10.529 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.529 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.529 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.530 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.530 * [backup-simplify]: Simplify (- 0) into 0 10.530 * [backup-simplify]: Simplify (+ 0 0) into 0 10.530 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.530 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.531 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 10.531 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 10.532 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 10.532 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 10.532 * [backup-simplify]: Simplify (- 0) into 0 10.533 * [backup-simplify]: Simplify (+ 0 0) into 0 10.533 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 10.534 * [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 10.534 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.535 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.535 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.535 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.536 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.536 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.536 * [backup-simplify]: Simplify (- 0) into 0 10.537 * [backup-simplify]: Simplify (+ 0 0) into 0 10.537 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 10.537 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.538 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 10.539 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 10.540 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 10.540 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 10.541 * [backup-simplify]: Simplify (- 0) into 0 10.541 * [backup-simplify]: Simplify (+ 0 0) into 0 10.542 * [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 10.542 * [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 10.543 * [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 10.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.544 * [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 10.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.545 * [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 10.546 * [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 10.546 * [taylor]: Taking taylor expansion of 0 in K 10.546 * [backup-simplify]: Simplify 0 into 0 10.546 * [backup-simplify]: Simplify 0 into 0 10.546 * [taylor]: Taking taylor expansion of 0 in K 10.546 * [backup-simplify]: Simplify 0 into 0 10.546 * [backup-simplify]: Simplify 0 into 0 10.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.547 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.548 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.548 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.548 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.549 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.549 * [backup-simplify]: Simplify (- 0) into 0 10.549 * [backup-simplify]: Simplify (+ 0 0) into 0 10.549 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 10.550 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.550 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 10.551 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 10.552 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 10.553 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 10.553 * [backup-simplify]: Simplify (- 0) into 0 10.553 * [backup-simplify]: Simplify (+ 0 0) into 0 10.554 * [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 10.556 * [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 10.556 * [taylor]: Taking taylor expansion of 0 in K 10.556 * [backup-simplify]: Simplify 0 into 0 10.556 * [backup-simplify]: Simplify 0 into 0 10.556 * [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)))))) 10.557 * [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) 10.557 * [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 10.557 * [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 10.557 * [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 10.557 * [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 10.557 * [taylor]: Taking taylor expansion of 1/4 in K 10.557 * [backup-simplify]: Simplify 1/4 into 1/4 10.557 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 10.557 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 10.557 * [taylor]: Taking taylor expansion of 1 in K 10.557 * [backup-simplify]: Simplify 1 into 1 10.557 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 10.557 * [taylor]: Taking taylor expansion of 1/4 in K 10.557 * [backup-simplify]: Simplify 1/4 into 1/4 10.557 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 10.557 * [taylor]: Taking taylor expansion of (pow J 2) in K 10.557 * [taylor]: Taking taylor expansion of J in K 10.557 * [backup-simplify]: Simplify J into J 10.557 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 10.557 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 10.557 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.557 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.558 * [taylor]: Taking taylor expansion of -1/2 in K 10.558 * [backup-simplify]: Simplify -1/2 into -1/2 10.558 * [taylor]: Taking taylor expansion of K in K 10.558 * [backup-simplify]: Simplify 0 into 0 10.558 * [backup-simplify]: Simplify 1 into 1 10.558 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.558 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.558 * [taylor]: Taking taylor expansion of (pow U 2) in K 10.558 * [taylor]: Taking taylor expansion of U in K 10.558 * [backup-simplify]: Simplify U into U 10.558 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.558 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.558 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.559 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 10.559 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 10.559 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 10.559 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 10.560 * [backup-simplify]: Simplify (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 10.560 * [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))))))) 10.560 * [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) 10.560 * [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 10.560 * [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 10.561 * [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 10.561 * [taylor]: Taking taylor expansion of 1/4 in J 10.561 * [backup-simplify]: Simplify 1/4 into 1/4 10.561 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 10.561 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 10.561 * [taylor]: Taking taylor expansion of 1 in J 10.561 * [backup-simplify]: Simplify 1 into 1 10.561 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 10.561 * [taylor]: Taking taylor expansion of 1/4 in J 10.561 * [backup-simplify]: Simplify 1/4 into 1/4 10.561 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 10.561 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.561 * [taylor]: Taking taylor expansion of J in J 10.561 * [backup-simplify]: Simplify 0 into 0 10.561 * [backup-simplify]: Simplify 1 into 1 10.561 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 10.561 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 10.561 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.561 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.561 * [taylor]: Taking taylor expansion of -1/2 in J 10.561 * [backup-simplify]: Simplify -1/2 into -1/2 10.561 * [taylor]: Taking taylor expansion of K in J 10.561 * [backup-simplify]: Simplify K into K 10.561 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.561 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.561 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.561 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.561 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.562 * [backup-simplify]: Simplify (- 0) into 0 10.562 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.562 * [taylor]: Taking taylor expansion of (pow U 2) in J 10.562 * [taylor]: Taking taylor expansion of U in J 10.562 * [backup-simplify]: Simplify U into U 10.562 * [backup-simplify]: Simplify (* 1 1) into 1 10.563 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.563 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.563 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 10.563 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 10.564 * [backup-simplify]: Simplify (+ 1 0) into 1 10.564 * [backup-simplify]: Simplify (log 1) into 0 10.564 * [backup-simplify]: Simplify (* 1/4 0) into 0 10.565 * [backup-simplify]: Simplify (+ 0 0) into 0 10.566 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.566 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 10.567 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 10.567 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 10.569 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 10.569 * [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)))) 10.570 * [backup-simplify]: Simplify (exp 0) into 1 10.570 * [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 10.570 * [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 10.570 * [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 10.570 * [taylor]: Taking taylor expansion of 1/4 in U 10.570 * [backup-simplify]: Simplify 1/4 into 1/4 10.570 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 10.570 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 10.570 * [taylor]: Taking taylor expansion of 1 in U 10.570 * [backup-simplify]: Simplify 1 into 1 10.570 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 10.570 * [taylor]: Taking taylor expansion of 1/4 in U 10.570 * [backup-simplify]: Simplify 1/4 into 1/4 10.570 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 10.570 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.570 * [taylor]: Taking taylor expansion of J in U 10.570 * [backup-simplify]: Simplify J into J 10.570 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 10.570 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 10.570 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.570 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.570 * [taylor]: Taking taylor expansion of -1/2 in U 10.570 * [backup-simplify]: Simplify -1/2 into -1/2 10.570 * [taylor]: Taking taylor expansion of K in U 10.570 * [backup-simplify]: Simplify K into K 10.570 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.570 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.570 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.570 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.570 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.571 * [backup-simplify]: Simplify (- 0) into 0 10.571 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.571 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.571 * [taylor]: Taking taylor expansion of U in U 10.571 * [backup-simplify]: Simplify 0 into 0 10.571 * [backup-simplify]: Simplify 1 into 1 10.571 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.571 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.572 * [backup-simplify]: Simplify (* 1 1) into 1 10.572 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 10.572 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 10.572 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 10.572 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 10.572 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 10.573 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 10.574 * [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)))) 10.574 * [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))))) 10.574 * [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 10.574 * [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 10.574 * [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 10.574 * [taylor]: Taking taylor expansion of 1/4 in U 10.574 * [backup-simplify]: Simplify 1/4 into 1/4 10.574 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 10.574 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 10.574 * [taylor]: Taking taylor expansion of 1 in U 10.574 * [backup-simplify]: Simplify 1 into 1 10.574 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 10.574 * [taylor]: Taking taylor expansion of 1/4 in U 10.574 * [backup-simplify]: Simplify 1/4 into 1/4 10.574 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 10.574 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.574 * [taylor]: Taking taylor expansion of J in U 10.574 * [backup-simplify]: Simplify J into J 10.574 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 10.574 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 10.574 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.574 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.574 * [taylor]: Taking taylor expansion of -1/2 in U 10.574 * [backup-simplify]: Simplify -1/2 into -1/2 10.574 * [taylor]: Taking taylor expansion of K in U 10.575 * [backup-simplify]: Simplify K into K 10.575 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.575 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.575 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.575 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.575 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.575 * [backup-simplify]: Simplify (- 0) into 0 10.575 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.575 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.575 * [taylor]: Taking taylor expansion of U in U 10.575 * [backup-simplify]: Simplify 0 into 0 10.575 * [backup-simplify]: Simplify 1 into 1 10.575 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.576 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.576 * [backup-simplify]: Simplify (* 1 1) into 1 10.576 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 10.576 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 10.576 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 10.577 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 10.577 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 10.578 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 10.578 * [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)))) 10.578 * [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))))) 10.578 * [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 10.578 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 10.578 * [taylor]: Taking taylor expansion of 1/4 in J 10.578 * [backup-simplify]: Simplify 1/4 into 1/4 10.578 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 10.578 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 10.578 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 10.578 * [taylor]: Taking taylor expansion of 1/4 in J 10.578 * [backup-simplify]: Simplify 1/4 into 1/4 10.578 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 10.579 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.579 * [taylor]: Taking taylor expansion of J in J 10.579 * [backup-simplify]: Simplify 0 into 0 10.579 * [backup-simplify]: Simplify 1 into 1 10.579 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 10.579 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.579 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.579 * [taylor]: Taking taylor expansion of -1/2 in J 10.579 * [backup-simplify]: Simplify -1/2 into -1/2 10.579 * [taylor]: Taking taylor expansion of K in J 10.579 * [backup-simplify]: Simplify K into K 10.579 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.579 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.579 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.579 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.579 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.579 * [backup-simplify]: Simplify (- 0) into 0 10.580 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.580 * [backup-simplify]: Simplify (* 1 1) into 1 10.580 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.580 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 10.580 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 10.580 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 10.580 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 10.580 * [taylor]: Taking taylor expansion of 2 in J 10.581 * [backup-simplify]: Simplify 2 into 2 10.581 * [taylor]: Taking taylor expansion of (log U) in J 10.581 * [taylor]: Taking taylor expansion of U in J 10.581 * [backup-simplify]: Simplify U into U 10.581 * [backup-simplify]: Simplify (log U) into (log U) 10.581 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 10.581 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 10.581 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 10.582 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 10.582 * [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)))) 10.582 * [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))))) 10.582 * [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 10.582 * [taylor]: Taking taylor expansion of (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 10.582 * [taylor]: Taking taylor expansion of 1/4 in K 10.582 * [backup-simplify]: Simplify 1/4 into 1/4 10.582 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 10.582 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) in K 10.582 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 10.582 * [taylor]: Taking taylor expansion of 2 in K 10.582 * [backup-simplify]: Simplify 2 into 2 10.583 * [taylor]: Taking taylor expansion of (log J) in K 10.583 * [taylor]: Taking taylor expansion of J in K 10.583 * [backup-simplify]: Simplify J into J 10.583 * [backup-simplify]: Simplify (log J) into (log J) 10.583 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) in K 10.583 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K 10.583 * [taylor]: Taking taylor expansion of 1/4 in K 10.583 * [backup-simplify]: Simplify 1/4 into 1/4 10.583 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 10.583 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.583 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.583 * [taylor]: Taking taylor expansion of -1/2 in K 10.583 * [backup-simplify]: Simplify -1/2 into -1/2 10.583 * [taylor]: Taking taylor expansion of K in K 10.583 * [backup-simplify]: Simplify 0 into 0 10.583 * [backup-simplify]: Simplify 1 into 1 10.583 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.583 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.584 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.584 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 10.584 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 10.584 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 10.584 * [taylor]: Taking taylor expansion of 2 in K 10.584 * [backup-simplify]: Simplify 2 into 2 10.584 * [taylor]: Taking taylor expansion of (log U) in K 10.584 * [taylor]: Taking taylor expansion of U in K 10.584 * [backup-simplify]: Simplify U into U 10.584 * [backup-simplify]: Simplify (log U) into (log U) 10.584 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 10.584 * [backup-simplify]: Simplify (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 10.584 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 10.584 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 10.585 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 10.585 * [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)))) 10.585 * [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))))) 10.586 * [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))))) 10.586 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 10.586 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.587 * [backup-simplify]: Simplify (+ 0) into 0 10.587 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.587 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.588 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.589 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.589 * [backup-simplify]: Simplify (- 0) into 0 10.589 * [backup-simplify]: Simplify (+ 0 0) into 0 10.589 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 10.590 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 10.590 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 10.591 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 10.591 * [backup-simplify]: Simplify (+ 0 0) into 0 10.592 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 10.593 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 10.593 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 10.594 * [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 10.595 * [taylor]: Taking taylor expansion of 0 in J 10.595 * [backup-simplify]: Simplify 0 into 0 10.595 * [taylor]: Taking taylor expansion of 0 in K 10.595 * [backup-simplify]: Simplify 0 into 0 10.595 * [backup-simplify]: Simplify 0 into 0 10.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.596 * [backup-simplify]: Simplify (+ 0) into 0 10.596 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.596 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.597 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.597 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.597 * [backup-simplify]: Simplify (- 0) into 0 10.598 * [backup-simplify]: Simplify (+ 0 0) into 0 10.598 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 10.598 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 10.598 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 10.599 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 10.599 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 10.600 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 10.600 * [backup-simplify]: Simplify (- 0) into 0 10.600 * [backup-simplify]: Simplify (+ 0 0) into 0 10.601 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 10.601 * [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 10.601 * [taylor]: Taking taylor expansion of 0 in K 10.601 * [backup-simplify]: Simplify 0 into 0 10.601 * [backup-simplify]: Simplify 0 into 0 10.602 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 10.602 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 10.602 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 10.602 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 10.603 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 10.603 * [backup-simplify]: Simplify (+ 0 0) into 0 10.604 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 10.604 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 10.604 * [backup-simplify]: Simplify (- 0) into 0 10.604 * [backup-simplify]: Simplify (+ 0 0) into 0 10.605 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 10.606 * [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 10.606 * [backup-simplify]: Simplify 0 into 0 10.606 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 10.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.607 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.607 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.608 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.608 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.608 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.609 * [backup-simplify]: Simplify (- 0) into 0 10.609 * [backup-simplify]: Simplify (+ 0 0) into 0 10.609 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 10.610 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 10.610 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 10.611 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 10.611 * [backup-simplify]: Simplify (+ 1 0) into 1 10.612 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 10.612 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 10.613 * [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)) 10.614 * [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)) 10.614 * [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 10.614 * [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 10.614 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 10.614 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.614 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.614 * [taylor]: Taking taylor expansion of -1/2 in J 10.614 * [backup-simplify]: Simplify -1/2 into -1/2 10.614 * [taylor]: Taking taylor expansion of K in J 10.614 * [backup-simplify]: Simplify K into K 10.614 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.614 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.614 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.614 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.614 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.614 * [backup-simplify]: Simplify (- 0) into 0 10.614 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.614 * [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 10.614 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 10.615 * [taylor]: Taking taylor expansion of 1/4 in J 10.615 * [backup-simplify]: Simplify 1/4 into 1/4 10.615 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 10.615 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 10.615 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 10.615 * [taylor]: Taking taylor expansion of 1/4 in J 10.615 * [backup-simplify]: Simplify 1/4 into 1/4 10.615 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 10.615 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.615 * [taylor]: Taking taylor expansion of J in J 10.615 * [backup-simplify]: Simplify 0 into 0 10.615 * [backup-simplify]: Simplify 1 into 1 10.615 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 10.615 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.615 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.615 * [taylor]: Taking taylor expansion of -1/2 in J 10.615 * [backup-simplify]: Simplify -1/2 into -1/2 10.615 * [taylor]: Taking taylor expansion of K in J 10.615 * [backup-simplify]: Simplify K into K 10.615 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.615 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.615 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.615 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.615 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.615 * [backup-simplify]: Simplify (- 0) into 0 10.615 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.616 * [backup-simplify]: Simplify (* 1 1) into 1 10.616 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.616 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 10.616 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 10.616 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 10.616 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 10.616 * [taylor]: Taking taylor expansion of 2 in J 10.616 * [backup-simplify]: Simplify 2 into 2 10.616 * [taylor]: Taking taylor expansion of (log U) in J 10.616 * [taylor]: Taking taylor expansion of U in J 10.616 * [backup-simplify]: Simplify U into U 10.616 * [backup-simplify]: Simplify (log U) into (log U) 10.616 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 10.616 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 10.617 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 10.617 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 10.617 * [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)))) 10.617 * [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))))) 10.617 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.617 * [taylor]: Taking taylor expansion of J in J 10.617 * [backup-simplify]: Simplify 0 into 0 10.617 * [backup-simplify]: Simplify 1 into 1 10.617 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.617 * [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)))))) 10.618 * [backup-simplify]: Simplify (* 1 1) into 1 10.618 * [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)))))) 10.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.619 * [backup-simplify]: Simplify (+ 0) into 0 10.619 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.619 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.625 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.626 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.626 * [backup-simplify]: Simplify (- 0) into 0 10.626 * [backup-simplify]: Simplify (+ 0 0) into 0 10.626 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 10.626 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 10.627 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 10.627 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 10.628 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 10.628 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 10.628 * [backup-simplify]: Simplify (- 0) into 0 10.629 * [backup-simplify]: Simplify (+ 0 0) into 0 10.629 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 10.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.630 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.631 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.631 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.631 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.632 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.632 * [backup-simplify]: Simplify (- 0) into 0 10.632 * [backup-simplify]: Simplify (+ 0 0) into 0 10.632 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 10.633 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 10.633 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 10.634 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 10.635 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 10.636 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 10.636 * [backup-simplify]: Simplify (- 0) into 0 10.636 * [backup-simplify]: Simplify (+ 0 0) into 0 10.637 * [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 10.639 * [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 10.639 * [backup-simplify]: Simplify (+ 0) into 0 10.640 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.640 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.640 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.641 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.641 * [backup-simplify]: Simplify (- 0) into 0 10.642 * [backup-simplify]: Simplify (+ 0 0) into 0 10.642 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 10.643 * [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 10.644 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.645 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.645 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.646 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.646 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.646 * [backup-simplify]: Simplify (- 0) into 0 10.647 * [backup-simplify]: Simplify (+ 0 0) into 0 10.647 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 10.648 * [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 10.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.650 * [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 10.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.651 * [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 10.653 * [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 10.653 * [taylor]: Taking taylor expansion of 0 in K 10.653 * [backup-simplify]: Simplify 0 into 0 10.653 * [backup-simplify]: Simplify 0 into 0 10.654 * [taylor]: Taking taylor expansion of 0 in K 10.654 * [backup-simplify]: Simplify 0 into 0 10.654 * [backup-simplify]: Simplify 0 into 0 10.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.655 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.656 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.656 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.657 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.658 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.658 * [backup-simplify]: Simplify (- 0) into 0 10.658 * [backup-simplify]: Simplify (+ 0 0) into 0 10.659 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 10.659 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 10.660 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 10.662 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 10.664 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 10.665 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 10.665 * [backup-simplify]: Simplify (- 0) into 0 10.665 * [backup-simplify]: Simplify (+ 0 0) into 0 10.666 * [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 10.668 * [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 10.668 * [taylor]: Taking taylor expansion of 0 in K 10.668 * [backup-simplify]: Simplify 0 into 0 10.668 * [backup-simplify]: Simplify 0 into 0 10.668 * [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)))))) 10.669 * * * [progress]: simplifying candidates 10.669 * * * * [progress]: [ 1 / 88 ] simplifiying candidate # 10.669 * * * * [progress]: [ 2 / 88 ] simplifiying candidate # 10.669 * * * * [progress]: [ 3 / 88 ] simplifiying candidate # 10.669 * * * * [progress]: [ 4 / 88 ] simplifiying candidate # 10.669 * * * * [progress]: [ 5 / 88 ] simplifiying candidate # 10.669 * * * * [progress]: [ 6 / 88 ] simplifiying candidate # 10.669 * * * * [progress]: [ 7 / 88 ] simplifiying candidate # 10.669 * * * * [progress]: [ 8 / 88 ] simplifiying candidate # 10.669 * * * * [progress]: [ 9 / 88 ] simplifiying candidate # 10.670 * * * * [progress]: [ 10 / 88 ] simplifiying candidate # 10.670 * * * * [progress]: [ 11 / 88 ] simplifiying candidate # 10.670 * * * * [progress]: [ 12 / 88 ] simplifiying candidate # 10.670 * * * * [progress]: [ 13 / 88 ] simplifiying candidate # 10.670 * * * * [progress]: [ 14 / 88 ] simplifiying candidate # 10.670 * * * * [progress]: [ 15 / 88 ] simplifiying candidate # 10.670 * * * * [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)))))> 10.670 * * * * [progress]: [ 17 / 88 ] simplifiying candidate # 10.670 * * * * [progress]: [ 18 / 88 ] simplifiying candidate # 10.670 * * * * [progress]: [ 19 / 88 ] simplifiying candidate # 10.670 * * * * [progress]: [ 20 / 88 ] simplifiying candidate # 10.670 * * * * [progress]: [ 21 / 88 ] simplifiying candidate # 10.671 * * * * [progress]: [ 22 / 88 ] simplifiying candidate # 10.671 * * * * [progress]: [ 23 / 88 ] simplifiying candidate # 10.671 * * * * [progress]: [ 24 / 88 ] simplifiying candidate # 10.671 * * * * [progress]: [ 25 / 88 ] simplifiying candidate # 10.671 * * * * [progress]: [ 26 / 88 ] simplifiying candidate # 10.671 * * * * [progress]: [ 27 / 88 ] simplifiying candidate # 10.671 * * * * [progress]: [ 28 / 88 ] simplifiying candidate # 10.671 * * * * [progress]: [ 29 / 88 ] simplifiying candidate # 10.671 * * * * [progress]: [ 30 / 88 ] simplifiying candidate # 10.671 * * * * [progress]: [ 31 / 88 ] simplifiying candidate # 10.671 * * * * [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)))))> 10.671 * * * * [progress]: [ 33 / 88 ] simplifiying candidate # 10.671 * * * * [progress]: [ 34 / 88 ] simplifiying candidate # 10.672 * * * * [progress]: [ 35 / 88 ] simplifiying candidate # 10.672 * * * * [progress]: [ 36 / 88 ] simplifiying candidate # 10.672 * * * * [progress]: [ 37 / 88 ] simplifiying candidate # 10.672 * * * * [progress]: [ 38 / 88 ] simplifiying candidate # 10.672 * * * * [progress]: [ 39 / 88 ] simplifiying candidate # 10.672 * * * * [progress]: [ 40 / 88 ] simplifiying candidate # 10.672 * * * * [progress]: [ 41 / 88 ] simplifiying candidate # 10.672 * * * * [progress]: [ 42 / 88 ] simplifiying candidate # 10.672 * * * * [progress]: [ 43 / 88 ] simplifiying candidate # 10.672 * * * * [progress]: [ 44 / 88 ] simplifiying candidate # 10.672 * * * * [progress]: [ 45 / 88 ] simplifiying candidate # 10.673 * * * * [progress]: [ 46 / 88 ] simplifiying candidate # 10.673 * * * * [progress]: [ 47 / 88 ] simplifiying candidate # 10.673 * * * * [progress]: [ 48 / 88 ] simplifiying candidate # 10.673 * * * * [progress]: [ 49 / 88 ] simplifiying candidate # 10.673 * * * * [progress]: [ 50 / 88 ] simplifiying candidate # 10.673 * * * * [progress]: [ 51 / 88 ] simplifiying candidate # 10.673 * * * * [progress]: [ 52 / 88 ] simplifiying candidate # 10.673 * * * * [progress]: [ 53 / 88 ] simplifiying candidate # 10.673 * * * * [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)))))> 10.673 * * * * [progress]: [ 55 / 88 ] simplifiying candidate # 10.673 * * * * [progress]: [ 56 / 88 ] simplifiying candidate # 10.673 * * * * [progress]: [ 57 / 88 ] simplifiying candidate # 10.673 * * * * [progress]: [ 58 / 88 ] simplifiying candidate # 10.674 * * * * [progress]: [ 59 / 88 ] simplifiying candidate # 10.674 * * * * [progress]: [ 60 / 88 ] simplifiying candidate # 10.674 * * * * [progress]: [ 61 / 88 ] simplifiying candidate # 10.674 * * * * [progress]: [ 62 / 88 ] simplifiying candidate # 10.674 * * * * [progress]: [ 63 / 88 ] simplifiying candidate # 10.674 * * * * [progress]: [ 64 / 88 ] simplifiying candidate # 10.674 * * * * [progress]: [ 65 / 88 ] simplifiying candidate # 10.674 * * * * [progress]: [ 66 / 88 ] simplifiying candidate # 10.674 * * * * [progress]: [ 67 / 88 ] simplifiying candidate # 10.674 * * * * [progress]: [ 68 / 88 ] simplifiying candidate # 10.674 * * * * [progress]: [ 69 / 88 ] simplifiying candidate # 10.675 * * * * [progress]: [ 70 / 88 ] simplifiying candidate # 10.675 * * * * [progress]: [ 71 / 88 ] simplifiying candidate # 10.675 * * * * [progress]: [ 72 / 88 ] simplifiying candidate # 10.675 * * * * [progress]: [ 73 / 88 ] simplifiying candidate # 10.675 * * * * [progress]: [ 74 / 88 ] simplifiying candidate # 10.675 * * * * [progress]: [ 75 / 88 ] simplifiying candidate # 10.675 * * * * [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)))))> 10.675 * * * * [progress]: [ 77 / 88 ] simplifiying candidate # 10.675 * * * * [progress]: [ 78 / 88 ] simplifiying candidate # 10.675 * * * * [progress]: [ 79 / 88 ] simplifiying candidate # 10.675 * * * * [progress]: [ 80 / 88 ] simplifiying candidate # 10.675 * * * * [progress]: [ 81 / 88 ] simplifiying candidate # 10.675 * * * * [progress]: [ 82 / 88 ] simplifiying candidate # 10.675 * * * * [progress]: [ 83 / 88 ] simplifiying candidate # 10.676 * * * * [progress]: [ 84 / 88 ] simplifiying candidate # 10.676 * * * * [progress]: [ 85 / 88 ] simplifiying candidate # 10.676 * * * * [progress]: [ 86 / 88 ] simplifiying candidate # 10.676 * * * * [progress]: [ 87 / 88 ] simplifiying candidate # 10.676 * * * * [progress]: [ 88 / 88 ] simplifiying candidate # 10.678 * [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)))) 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(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)))), (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, (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)))))), 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)))))) 11.550 * * * [progress]: adding candidates to table 12.860 * * [progress]: iteration 4 / 4 12.860 * * * [progress]: picking best candidate 12.908 * * * * [pick]: Picked # 12.908 * * * [progress]: localizing error 12.968 * * * [progress]: generating rewritten candidates 12.969 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 13.069 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 13.457 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 13.519 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 13.523 * * * [progress]: generating series expansions 13.523 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 13.524 * [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)) 13.524 * [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 13.524 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 13.524 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 13.524 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 13.524 * [taylor]: Taking taylor expansion of 1/4 in K 13.524 * [backup-simplify]: Simplify 1/4 into 1/4 13.524 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 13.524 * [taylor]: Taking taylor expansion of (pow U 2) in K 13.524 * [taylor]: Taking taylor expansion of U in K 13.524 * [backup-simplify]: Simplify U into U 13.524 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 13.524 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 13.524 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 13.524 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 13.524 * [taylor]: Taking taylor expansion of 1/2 in K 13.524 * [backup-simplify]: Simplify 1/2 into 1/2 13.524 * [taylor]: Taking taylor expansion of K in K 13.524 * [backup-simplify]: Simplify 0 into 0 13.524 * [backup-simplify]: Simplify 1 into 1 13.524 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.525 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 13.525 * [taylor]: Taking taylor expansion of (pow J 2) in K 13.525 * [taylor]: Taking taylor expansion of J in K 13.525 * [backup-simplify]: Simplify J into J 13.525 * [backup-simplify]: Simplify (* U U) into (pow U 2) 13.525 * [backup-simplify]: Simplify (* 1 1) into 1 13.525 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.525 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 13.525 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 13.525 * [taylor]: Taking taylor expansion of 1 in K 13.525 * [backup-simplify]: Simplify 1 into 1 13.526 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 13.526 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 13.526 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 13.526 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 13.526 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 13.526 * [backup-simplify]: Simplify (+ 0) into 0 13.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 13.527 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 13.527 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 13.528 * [backup-simplify]: Simplify (+ 0 0) into 0 13.528 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 13.528 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 13.528 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 13.528 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 13.528 * [taylor]: Taking taylor expansion of 1/4 in J 13.528 * [backup-simplify]: Simplify 1/4 into 1/4 13.528 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 13.528 * [taylor]: Taking taylor expansion of (pow U 2) in J 13.528 * [taylor]: Taking taylor expansion of U in J 13.528 * [backup-simplify]: Simplify U into U 13.528 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 13.528 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 13.528 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 13.528 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 13.528 * [taylor]: Taking taylor expansion of 1/2 in J 13.528 * [backup-simplify]: Simplify 1/2 into 1/2 13.528 * [taylor]: Taking taylor expansion of K in J 13.528 * [backup-simplify]: Simplify K into K 13.528 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 13.528 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 13.528 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 13.528 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 13.528 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 13.529 * [backup-simplify]: Simplify (- 0) into 0 13.529 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 13.529 * [taylor]: Taking taylor expansion of (pow J 2) in J 13.529 * [taylor]: Taking taylor expansion of J in J 13.529 * [backup-simplify]: Simplify 0 into 0 13.529 * [backup-simplify]: Simplify 1 into 1 13.529 * [backup-simplify]: Simplify (* U U) into (pow U 2) 13.529 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 13.529 * [backup-simplify]: Simplify (* 1 1) into 1 13.529 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 13.529 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 13.529 * [taylor]: Taking taylor expansion of 1 in J 13.529 * [backup-simplify]: Simplify 1 into 1 13.529 * [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))) 13.530 * [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))) 13.530 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 13.530 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 13.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.530 * [backup-simplify]: Simplify (+ 0) into 0 13.531 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 13.531 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 13.532 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.532 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 13.532 * [backup-simplify]: Simplify (- 0) into 0 13.532 * [backup-simplify]: Simplify (+ 0 0) into 0 13.532 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 13.533 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 13.533 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 13.533 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 13.534 * [backup-simplify]: Simplify (+ 0 0) into 0 13.534 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 13.534 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 13.534 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 13.534 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 13.534 * [taylor]: Taking taylor expansion of 1/4 in U 13.534 * [backup-simplify]: Simplify 1/4 into 1/4 13.534 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 13.534 * [taylor]: Taking taylor expansion of (pow U 2) in U 13.534 * [taylor]: Taking taylor expansion of U in U 13.534 * [backup-simplify]: Simplify 0 into 0 13.534 * [backup-simplify]: Simplify 1 into 1 13.534 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 13.534 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 13.534 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 13.534 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 13.534 * [taylor]: Taking taylor expansion of 1/2 in U 13.534 * [backup-simplify]: Simplify 1/2 into 1/2 13.534 * [taylor]: Taking taylor expansion of K in U 13.534 * [backup-simplify]: Simplify K into K 13.534 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 13.534 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 13.534 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 13.534 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 13.534 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 13.535 * [backup-simplify]: Simplify (- 0) into 0 13.535 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 13.535 * [taylor]: Taking taylor expansion of (pow J 2) in U 13.535 * [taylor]: Taking taylor expansion of J in U 13.535 * [backup-simplify]: Simplify J into J 13.535 * [backup-simplify]: Simplify (* 1 1) into 1 13.535 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 13.535 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.535 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 13.535 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 13.535 * [taylor]: Taking taylor expansion of 1 in U 13.535 * [backup-simplify]: Simplify 1 into 1 13.536 * [backup-simplify]: Simplify (+ 0 1) into 1 13.536 * [backup-simplify]: Simplify (sqrt 1) into 1 13.536 * [backup-simplify]: Simplify (+ 0 0) into 0 13.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.537 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 13.537 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 13.537 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 13.537 * [taylor]: Taking taylor expansion of 1/4 in U 13.537 * [backup-simplify]: Simplify 1/4 into 1/4 13.537 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 13.537 * [taylor]: Taking taylor expansion of (pow U 2) in U 13.537 * [taylor]: Taking taylor expansion of U in U 13.537 * [backup-simplify]: Simplify 0 into 0 13.537 * [backup-simplify]: Simplify 1 into 1 13.537 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 13.537 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 13.537 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 13.537 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 13.537 * [taylor]: Taking taylor expansion of 1/2 in U 13.537 * [backup-simplify]: Simplify 1/2 into 1/2 13.537 * [taylor]: Taking taylor expansion of K in U 13.537 * [backup-simplify]: Simplify K into K 13.537 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 13.537 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 13.537 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 13.537 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 13.537 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 13.537 * [backup-simplify]: Simplify (- 0) into 0 13.537 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 13.537 * [taylor]: Taking taylor expansion of (pow J 2) in U 13.537 * [taylor]: Taking taylor expansion of J in U 13.537 * [backup-simplify]: Simplify J into J 13.538 * [backup-simplify]: Simplify (* 1 1) into 1 13.538 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 13.538 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.538 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 13.538 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 13.538 * [taylor]: Taking taylor expansion of 1 in U 13.538 * [backup-simplify]: Simplify 1 into 1 13.538 * [backup-simplify]: Simplify (+ 0 1) into 1 13.539 * [backup-simplify]: Simplify (sqrt 1) into 1 13.539 * [backup-simplify]: Simplify (+ 0 0) into 0 13.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.539 * [taylor]: Taking taylor expansion of 1 in J 13.539 * [backup-simplify]: Simplify 1 into 1 13.539 * [taylor]: Taking taylor expansion of 0 in J 13.539 * [backup-simplify]: Simplify 0 into 0 13.539 * [taylor]: Taking taylor expansion of 1 in K 13.539 * [backup-simplify]: Simplify 1 into 1 13.539 * [backup-simplify]: Simplify 1 into 1 13.540 * [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))) 13.540 * [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)))) 13.541 * [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))) 13.541 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 13.541 * [taylor]: Taking taylor expansion of 1/8 in J 13.541 * [backup-simplify]: Simplify 1/8 into 1/8 13.541 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 13.541 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 13.541 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 13.541 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 13.541 * [taylor]: Taking taylor expansion of 1/2 in J 13.541 * [backup-simplify]: Simplify 1/2 into 1/2 13.541 * [taylor]: Taking taylor expansion of K in J 13.541 * [backup-simplify]: Simplify K into K 13.541 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 13.541 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 13.541 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 13.541 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 13.541 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 13.541 * [backup-simplify]: Simplify (- 0) into 0 13.541 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 13.541 * [taylor]: Taking taylor expansion of (pow J 2) in J 13.541 * [taylor]: Taking taylor expansion of J in J 13.541 * [backup-simplify]: Simplify 0 into 0 13.541 * [backup-simplify]: Simplify 1 into 1 13.542 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 13.542 * [backup-simplify]: Simplify (* 1 1) into 1 13.542 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 13.542 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 13.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.543 * [backup-simplify]: Simplify (+ 0) into 0 13.543 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 13.543 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 13.544 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.544 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 13.544 * [backup-simplify]: Simplify (- 0) into 0 13.544 * [backup-simplify]: Simplify (+ 0 0) into 0 13.545 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 13.545 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 13.545 * [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 13.545 * [taylor]: Taking taylor expansion of 0 in K 13.545 * [backup-simplify]: Simplify 0 into 0 13.545 * [backup-simplify]: Simplify 0 into 0 13.545 * [taylor]: Taking taylor expansion of 0 in K 13.545 * [backup-simplify]: Simplify 0 into 0 13.545 * [backup-simplify]: Simplify 0 into 0 13.545 * [taylor]: Taking taylor expansion of 0 in K 13.545 * [backup-simplify]: Simplify 0 into 0 13.545 * [backup-simplify]: Simplify 0 into 0 13.545 * [backup-simplify]: Simplify 0 into 0 13.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.546 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 13.546 * [backup-simplify]: Simplify (+ 0) into 0 13.546 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 13.547 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 13.547 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.547 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 13.548 * [backup-simplify]: Simplify (- 0) into 0 13.548 * [backup-simplify]: Simplify (+ 0 0) into 0 13.548 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 13.548 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 13.548 * [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 13.549 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 13.549 * [backup-simplify]: Simplify (+ 0 0) into 0 13.550 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 13.550 * [taylor]: Taking taylor expansion of 0 in J 13.550 * [backup-simplify]: Simplify 0 into 0 13.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.552 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.552 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.553 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 13.554 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.555 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.555 * [backup-simplify]: Simplify (- 0) into 0 13.555 * [backup-simplify]: Simplify (+ 0 0) into 0 13.556 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 13.557 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 13.557 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 13.557 * [taylor]: Taking taylor expansion of 0 in K 13.557 * [backup-simplify]: Simplify 0 into 0 13.557 * [backup-simplify]: Simplify 0 into 0 13.557 * [taylor]: Taking taylor expansion of 0 in K 13.557 * [backup-simplify]: Simplify 0 into 0 13.557 * [backup-simplify]: Simplify 0 into 0 13.557 * [backup-simplify]: Simplify 1 into 1 13.558 * [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)) 13.558 * [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 13.558 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 13.558 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 13.558 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 13.558 * [taylor]: Taking taylor expansion of 1/4 in K 13.558 * [backup-simplify]: Simplify 1/4 into 1/4 13.558 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 13.558 * [taylor]: Taking taylor expansion of (pow J 2) in K 13.558 * [taylor]: Taking taylor expansion of J in K 13.558 * [backup-simplify]: Simplify J into J 13.559 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 13.559 * [taylor]: Taking taylor expansion of (pow U 2) in K 13.559 * [taylor]: Taking taylor expansion of U in K 13.559 * [backup-simplify]: Simplify U into U 13.559 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 13.559 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 13.559 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 13.559 * [taylor]: Taking taylor expansion of 1/2 in K 13.559 * [backup-simplify]: Simplify 1/2 into 1/2 13.559 * [taylor]: Taking taylor expansion of K in K 13.559 * [backup-simplify]: Simplify 0 into 0 13.559 * [backup-simplify]: Simplify 1 into 1 13.559 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.559 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.559 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.560 * [backup-simplify]: Simplify (* U U) into (pow U 2) 13.560 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 13.560 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 13.560 * [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))) 13.560 * [taylor]: Taking taylor expansion of 1 in K 13.560 * [backup-simplify]: Simplify 1 into 1 13.560 * [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)))) 13.561 * [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) 13.561 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 13.561 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 13.561 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 13.561 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 13.562 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 13.562 * [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 13.563 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 13.563 * [backup-simplify]: Simplify (+ 0 0) into 0 13.564 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 13.564 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 13.564 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 13.564 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 13.564 * [taylor]: Taking taylor expansion of 1/4 in J 13.564 * [backup-simplify]: Simplify 1/4 into 1/4 13.564 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 13.564 * [taylor]: Taking taylor expansion of (pow J 2) in J 13.564 * [taylor]: Taking taylor expansion of J in J 13.564 * [backup-simplify]: Simplify 0 into 0 13.564 * [backup-simplify]: Simplify 1 into 1 13.564 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 13.564 * [taylor]: Taking taylor expansion of (pow U 2) in J 13.564 * [taylor]: Taking taylor expansion of U in J 13.564 * [backup-simplify]: Simplify U into U 13.564 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 13.564 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 13.564 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 13.564 * [taylor]: Taking taylor expansion of 1/2 in J 13.564 * [backup-simplify]: Simplify 1/2 into 1/2 13.564 * [taylor]: Taking taylor expansion of K in J 13.564 * [backup-simplify]: Simplify K into K 13.564 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.564 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.565 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 13.565 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.565 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 13.565 * [backup-simplify]: Simplify (- 0) into 0 13.565 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 13.566 * [backup-simplify]: Simplify (* 1 1) into 1 13.566 * [backup-simplify]: Simplify (* U U) into (pow U 2) 13.566 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 13.566 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 13.566 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 13.566 * [taylor]: Taking taylor expansion of 1 in J 13.566 * [backup-simplify]: Simplify 1 into 1 13.567 * [backup-simplify]: Simplify (+ 0 1) into 1 13.567 * [backup-simplify]: Simplify (sqrt 1) into 1 13.567 * [backup-simplify]: Simplify (+ 0 0) into 0 13.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.568 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 13.568 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 13.568 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 13.568 * [taylor]: Taking taylor expansion of 1/4 in U 13.568 * [backup-simplify]: Simplify 1/4 into 1/4 13.568 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 13.568 * [taylor]: Taking taylor expansion of (pow J 2) in U 13.568 * [taylor]: Taking taylor expansion of J in U 13.568 * [backup-simplify]: Simplify J into J 13.568 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 13.568 * [taylor]: Taking taylor expansion of (pow U 2) in U 13.568 * [taylor]: Taking taylor expansion of U in U 13.568 * [backup-simplify]: Simplify 0 into 0 13.568 * [backup-simplify]: Simplify 1 into 1 13.568 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 13.568 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 13.568 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 13.569 * [taylor]: Taking taylor expansion of 1/2 in U 13.569 * [backup-simplify]: Simplify 1/2 into 1/2 13.569 * [taylor]: Taking taylor expansion of K in U 13.569 * [backup-simplify]: Simplify K into K 13.569 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.569 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.569 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 13.569 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.569 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 13.569 * [backup-simplify]: Simplify (- 0) into 0 13.569 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 13.570 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.570 * [backup-simplify]: Simplify (* 1 1) into 1 13.570 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 13.570 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 13.570 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 13.570 * [taylor]: Taking taylor expansion of 1 in U 13.570 * [backup-simplify]: Simplify 1 into 1 13.571 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 13.571 * [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))) 13.571 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 13.571 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 13.572 * [backup-simplify]: Simplify (+ 0) into 0 13.572 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 13.572 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 13.573 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.574 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 13.574 * [backup-simplify]: Simplify (- 0) into 0 13.574 * [backup-simplify]: Simplify (+ 0 0) into 0 13.575 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 13.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 13.576 * [backup-simplify]: 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 13.577 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 13.577 * [backup-simplify]: Simplify (+ 0 0) into 0 13.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 13.577 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 13.577 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 13.577 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 13.577 * [taylor]: Taking taylor expansion of 1/4 in U 13.578 * [backup-simplify]: Simplify 1/4 into 1/4 13.578 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 13.578 * [taylor]: Taking taylor expansion of (pow J 2) in U 13.578 * [taylor]: Taking taylor expansion of J in U 13.578 * [backup-simplify]: Simplify J into J 13.578 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 13.578 * [taylor]: Taking taylor expansion of (pow U 2) in U 13.578 * [taylor]: Taking taylor expansion of U in U 13.578 * [backup-simplify]: Simplify 0 into 0 13.578 * [backup-simplify]: Simplify 1 into 1 13.578 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 13.578 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 13.578 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 13.578 * [taylor]: Taking taylor expansion of 1/2 in U 13.578 * [backup-simplify]: Simplify 1/2 into 1/2 13.578 * [taylor]: Taking taylor expansion of K in U 13.578 * [backup-simplify]: Simplify K into K 13.578 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.578 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.578 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 13.578 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.578 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 13.579 * [backup-simplify]: Simplify (- 0) into 0 13.579 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 13.579 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.579 * [backup-simplify]: Simplify (* 1 1) into 1 13.579 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 13.579 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 13.580 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 13.580 * [taylor]: Taking taylor expansion of 1 in U 13.580 * [backup-simplify]: Simplify 1 into 1 13.580 * [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))) 13.580 * [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))) 13.580 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 13.581 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 13.581 * [backup-simplify]: Simplify (+ 0) into 0 13.582 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 13.582 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 13.583 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.583 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 13.584 * [backup-simplify]: Simplify (- 0) into 0 13.584 * [backup-simplify]: Simplify (+ 0 0) into 0 13.584 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 13.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 13.586 * [backup-simplify]: 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 13.586 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 13.587 * [backup-simplify]: Simplify (+ 0 0) into 0 13.587 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 13.587 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 13.587 * [taylor]: Taking taylor expansion of 1/2 in J 13.587 * [backup-simplify]: Simplify 1/2 into 1/2 13.587 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 13.587 * [taylor]: Taking taylor expansion of J in J 13.587 * [backup-simplify]: Simplify 0 into 0 13.587 * [backup-simplify]: Simplify 1 into 1 13.587 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 13.587 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 13.587 * [taylor]: Taking taylor expansion of 1/2 in J 13.587 * [backup-simplify]: Simplify 1/2 into 1/2 13.587 * [taylor]: Taking taylor expansion of K in J 13.587 * [backup-simplify]: Simplify K into K 13.587 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.587 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.587 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 13.588 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.588 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 13.588 * [backup-simplify]: Simplify (- 0) into 0 13.588 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 13.588 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 13.588 * [taylor]: Taking taylor expansion of 0 in J 13.588 * [backup-simplify]: Simplify 0 into 0 13.588 * [taylor]: Taking taylor expansion of 0 in K 13.588 * [backup-simplify]: Simplify 0 into 0 13.588 * [backup-simplify]: Simplify 0 into 0 13.589 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 13.589 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 13.589 * [taylor]: Taking taylor expansion of 1/2 in K 13.589 * [backup-simplify]: Simplify 1/2 into 1/2 13.589 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 13.589 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 13.589 * [taylor]: Taking taylor expansion of 1/2 in K 13.589 * [backup-simplify]: Simplify 1/2 into 1/2 13.589 * [taylor]: Taking taylor expansion of K in K 13.589 * [backup-simplify]: Simplify 0 into 0 13.589 * [backup-simplify]: Simplify 1 into 1 13.589 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.589 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.589 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 13.589 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 13.590 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 13.591 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.592 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.592 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.592 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.593 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.593 * [backup-simplify]: Simplify (- 0) into 0 13.594 * [backup-simplify]: Simplify (+ 0 0) into 0 13.594 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 13.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 13.596 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 13.597 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 13.598 * [backup-simplify]: Simplify (+ 0 1) into 1 13.599 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 13.599 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 13.599 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 13.599 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 13.599 * [taylor]: Taking taylor expansion of 1/2 in J 13.599 * [backup-simplify]: Simplify 1/2 into 1/2 13.599 * [taylor]: Taking taylor expansion of K in J 13.599 * [backup-simplify]: Simplify K into K 13.599 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.599 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.599 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 13.599 * [taylor]: Taking taylor expansion of J in J 13.599 * [backup-simplify]: Simplify 0 into 0 13.599 * [backup-simplify]: Simplify 1 into 1 13.599 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.599 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 13.600 * [backup-simplify]: Simplify (- 0) into 0 13.600 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 13.600 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.600 * [backup-simplify]: Simplify (+ 0) into 0 13.601 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 13.601 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 13.602 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.602 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 13.602 * [backup-simplify]: Simplify (- 0) into 0 13.603 * [backup-simplify]: Simplify (+ 0 0) into 0 13.604 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 13.604 * [taylor]: Taking taylor expansion of 0 in K 13.604 * [backup-simplify]: Simplify 0 into 0 13.604 * [backup-simplify]: Simplify 0 into 0 13.604 * [taylor]: Taking taylor expansion of 0 in K 13.604 * [backup-simplify]: Simplify 0 into 0 13.604 * [backup-simplify]: Simplify 0 into 0 13.604 * [backup-simplify]: Simplify (+ 0) into 0 13.605 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 13.605 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 13.606 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.606 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 13.606 * [backup-simplify]: Simplify (- 0) into 0 13.607 * [backup-simplify]: Simplify (+ 0 0) into 0 13.607 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 13.607 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 13.608 * [taylor]: Taking taylor expansion of 0 in K 13.608 * [backup-simplify]: Simplify 0 into 0 13.608 * [backup-simplify]: Simplify 0 into 0 13.608 * [backup-simplify]: Simplify 0 into 0 13.608 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 13.608 * [backup-simplify]: Simplify 0 into 0 13.609 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 13.610 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 13.611 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.611 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.613 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 13.613 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 13.613 * [backup-simplify]: Simplify (- 0) into 0 13.614 * [backup-simplify]: Simplify (+ 0 0) into 0 13.614 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 13.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 13.616 * [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))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 13.617 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 13.617 * [backup-simplify]: Simplify (+ 0 0) into 0 13.618 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 13.618 * [taylor]: Taking taylor expansion of 0 in J 13.618 * [backup-simplify]: Simplify 0 into 0 13.618 * [taylor]: Taking taylor expansion of 0 in K 13.618 * [backup-simplify]: Simplify 0 into 0 13.618 * [backup-simplify]: Simplify 0 into 0 13.618 * [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))) 13.618 * [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)))))) 13.618 * [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 13.618 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 13.618 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 13.618 * [taylor]: Taking taylor expansion of 1 in K 13.618 * [backup-simplify]: Simplify 1 into 1 13.618 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 13.618 * [taylor]: Taking taylor expansion of 1/4 in K 13.618 * [backup-simplify]: Simplify 1/4 into 1/4 13.618 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 13.618 * [taylor]: Taking taylor expansion of (pow J 2) in K 13.618 * [taylor]: Taking taylor expansion of J in K 13.618 * [backup-simplify]: Simplify J into J 13.618 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 13.618 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 13.618 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 13.619 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 13.619 * [taylor]: Taking taylor expansion of -1/2 in K 13.619 * [backup-simplify]: Simplify -1/2 into -1/2 13.619 * [taylor]: Taking taylor expansion of K in K 13.619 * [backup-simplify]: Simplify 0 into 0 13.619 * [backup-simplify]: Simplify 1 into 1 13.619 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 13.619 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.619 * [taylor]: Taking taylor expansion of (pow U 2) in K 13.619 * [taylor]: Taking taylor expansion of U in K 13.619 * [backup-simplify]: Simplify U into U 13.619 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.619 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 13.619 * [backup-simplify]: Simplify (* U U) into (pow U 2) 13.619 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 13.619 * [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))) 13.620 * [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)))) 13.620 * [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))))) 13.620 * [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)))))) 13.620 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 13.620 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 13.620 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 13.620 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 13.621 * [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 13.621 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 13.621 * [backup-simplify]: Simplify (+ 0 0) into 0 13.622 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 13.622 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 13.622 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 13.622 * [taylor]: Taking taylor expansion of 1 in J 13.622 * [backup-simplify]: Simplify 1 into 1 13.622 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 13.622 * [taylor]: Taking taylor expansion of 1/4 in J 13.622 * [backup-simplify]: Simplify 1/4 into 1/4 13.622 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 13.622 * [taylor]: Taking taylor expansion of (pow J 2) in J 13.622 * [taylor]: Taking taylor expansion of J in J 13.622 * [backup-simplify]: Simplify 0 into 0 13.622 * [backup-simplify]: Simplify 1 into 1 13.622 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 13.622 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 13.622 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 13.622 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 13.622 * [taylor]: Taking taylor expansion of -1/2 in J 13.622 * [backup-simplify]: Simplify -1/2 into -1/2 13.622 * [taylor]: Taking taylor expansion of K in J 13.622 * [backup-simplify]: Simplify K into K 13.622 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 13.622 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.622 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 13.622 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.622 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 13.622 * [backup-simplify]: Simplify (- 0) into 0 13.622 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 13.622 * [taylor]: Taking taylor expansion of (pow U 2) in J 13.622 * [taylor]: Taking taylor expansion of U in J 13.622 * [backup-simplify]: Simplify U into U 13.623 * [backup-simplify]: Simplify (* 1 1) into 1 13.623 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 13.623 * [backup-simplify]: Simplify (* U U) into (pow U 2) 13.623 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 13.623 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 13.623 * [backup-simplify]: Simplify (+ 1 0) into 1 13.624 * [backup-simplify]: Simplify (sqrt 1) into 1 13.624 * [backup-simplify]: Simplify (+ 0 0) into 0 13.624 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.624 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 13.624 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 13.624 * [taylor]: Taking taylor expansion of 1 in U 13.624 * [backup-simplify]: Simplify 1 into 1 13.625 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 13.625 * [taylor]: Taking taylor expansion of 1/4 in U 13.625 * [backup-simplify]: Simplify 1/4 into 1/4 13.625 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 13.625 * [taylor]: Taking taylor expansion of (pow J 2) in U 13.625 * [taylor]: Taking taylor expansion of J in U 13.625 * [backup-simplify]: Simplify J into J 13.625 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 13.625 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 13.625 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 13.625 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 13.625 * [taylor]: Taking taylor expansion of -1/2 in U 13.625 * [backup-simplify]: Simplify -1/2 into -1/2 13.625 * [taylor]: Taking taylor expansion of K in U 13.625 * [backup-simplify]: Simplify K into K 13.625 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 13.625 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.625 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 13.625 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.625 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 13.625 * [backup-simplify]: Simplify (- 0) into 0 13.625 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 13.625 * [taylor]: Taking taylor expansion of (pow U 2) in U 13.625 * [taylor]: Taking taylor expansion of U in U 13.625 * [backup-simplify]: Simplify 0 into 0 13.625 * [backup-simplify]: Simplify 1 into 1 13.625 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.625 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 13.626 * [backup-simplify]: Simplify (* 1 1) into 1 13.626 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 13.626 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 13.626 * [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))) 13.626 * [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))) 13.626 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 13.626 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 13.630 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.631 * [backup-simplify]: Simplify (+ 0) into 0 13.631 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 13.631 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 13.632 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.632 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 13.632 * [backup-simplify]: Simplify (- 0) into 0 13.633 * [backup-simplify]: Simplify (+ 0 0) into 0 13.633 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 13.633 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 13.633 * [backup-simplify]: 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 13.634 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 13.634 * [backup-simplify]: Simplify (+ 0 0) into 0 13.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 13.634 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 13.634 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 13.634 * [taylor]: Taking taylor expansion of 1 in U 13.634 * [backup-simplify]: Simplify 1 into 1 13.634 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 13.634 * [taylor]: Taking taylor expansion of 1/4 in U 13.634 * [backup-simplify]: Simplify 1/4 into 1/4 13.634 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 13.634 * [taylor]: Taking taylor expansion of (pow J 2) in U 13.634 * [taylor]: Taking taylor expansion of J in U 13.634 * [backup-simplify]: Simplify J into J 13.634 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 13.634 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 13.634 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 13.634 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 13.634 * [taylor]: Taking taylor expansion of -1/2 in U 13.634 * [backup-simplify]: Simplify -1/2 into -1/2 13.634 * [taylor]: Taking taylor expansion of K in U 13.634 * [backup-simplify]: Simplify K into K 13.634 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 13.635 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.635 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 13.635 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.635 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 13.635 * [backup-simplify]: Simplify (- 0) into 0 13.635 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 13.635 * [taylor]: Taking taylor expansion of (pow U 2) in U 13.635 * [taylor]: Taking taylor expansion of U in U 13.635 * [backup-simplify]: Simplify 0 into 0 13.635 * [backup-simplify]: Simplify 1 into 1 13.635 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.635 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 13.635 * [backup-simplify]: Simplify (* 1 1) into 1 13.636 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 13.636 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 13.636 * [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))) 13.636 * [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))) 13.636 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 13.636 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 13.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.637 * [backup-simplify]: Simplify (+ 0) into 0 13.637 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 13.637 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 13.638 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.638 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 13.638 * [backup-simplify]: Simplify (- 0) into 0 13.638 * [backup-simplify]: Simplify (+ 0 0) into 0 13.638 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 13.639 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 13.639 * [backup-simplify]: 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 13.639 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 13.640 * [backup-simplify]: Simplify (+ 0 0) into 0 13.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 13.640 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 13.640 * [taylor]: Taking taylor expansion of 1/2 in J 13.640 * [backup-simplify]: Simplify 1/2 into 1/2 13.640 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 13.640 * [taylor]: Taking taylor expansion of J in J 13.640 * [backup-simplify]: Simplify 0 into 0 13.640 * [backup-simplify]: Simplify 1 into 1 13.640 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 13.640 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 13.640 * [taylor]: Taking taylor expansion of -1/2 in J 13.640 * [backup-simplify]: Simplify -1/2 into -1/2 13.640 * [taylor]: Taking taylor expansion of K in J 13.640 * [backup-simplify]: Simplify K into K 13.640 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 13.640 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.640 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 13.640 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.640 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 13.641 * [backup-simplify]: Simplify (- 0) into 0 13.641 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 13.641 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 13.641 * [taylor]: Taking taylor expansion of 0 in J 13.641 * [backup-simplify]: Simplify 0 into 0 13.641 * [taylor]: Taking taylor expansion of 0 in K 13.641 * [backup-simplify]: Simplify 0 into 0 13.641 * [backup-simplify]: Simplify 0 into 0 13.641 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 13.641 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 13.641 * [taylor]: Taking taylor expansion of 1/2 in K 13.641 * [backup-simplify]: Simplify 1/2 into 1/2 13.641 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 13.641 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 13.641 * [taylor]: Taking taylor expansion of -1/2 in K 13.641 * [backup-simplify]: Simplify -1/2 into -1/2 13.641 * [taylor]: Taking taylor expansion of K in K 13.641 * [backup-simplify]: Simplify 0 into 0 13.641 * [backup-simplify]: Simplify 1 into 1 13.641 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 13.641 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.641 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 13.642 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 13.642 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 13.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.643 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.643 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.643 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.644 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.644 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.645 * [backup-simplify]: Simplify (- 0) into 0 13.645 * [backup-simplify]: Simplify (+ 0 0) into 0 13.645 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 13.646 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 13.646 * [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))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 13.646 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 13.647 * [backup-simplify]: Simplify (+ 1 0) into 1 13.647 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 13.647 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 13.647 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 13.647 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 13.647 * [taylor]: Taking taylor expansion of -1/2 in J 13.647 * [backup-simplify]: Simplify -1/2 into -1/2 13.647 * [taylor]: Taking taylor expansion of K in J 13.647 * [backup-simplify]: Simplify K into K 13.647 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 13.647 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.647 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 13.648 * [taylor]: Taking taylor expansion of J in J 13.648 * [backup-simplify]: Simplify 0 into 0 13.648 * [backup-simplify]: Simplify 1 into 1 13.648 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.648 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 13.648 * [backup-simplify]: Simplify (- 0) into 0 13.648 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 13.648 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.648 * [backup-simplify]: Simplify (+ 0) into 0 13.649 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 13.649 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 13.649 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.649 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 13.650 * [backup-simplify]: Simplify (- 0) into 0 13.650 * [backup-simplify]: Simplify (+ 0 0) into 0 13.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 13.650 * [taylor]: Taking taylor expansion of 0 in K 13.651 * [backup-simplify]: Simplify 0 into 0 13.651 * [backup-simplify]: Simplify 0 into 0 13.651 * [taylor]: Taking taylor expansion of 0 in K 13.651 * [backup-simplify]: Simplify 0 into 0 13.651 * [backup-simplify]: Simplify 0 into 0 13.651 * [backup-simplify]: Simplify (+ 0) into 0 13.651 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 13.651 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 13.652 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.652 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 13.652 * [backup-simplify]: Simplify (- 0) into 0 13.653 * [backup-simplify]: Simplify (+ 0 0) into 0 13.653 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 13.653 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 13.653 * [taylor]: Taking taylor expansion of 0 in K 13.653 * [backup-simplify]: Simplify 0 into 0 13.654 * [backup-simplify]: Simplify 0 into 0 13.654 * [backup-simplify]: Simplify 0 into 0 13.654 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 13.654 * [backup-simplify]: Simplify 0 into 0 13.654 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 13.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.656 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 13.656 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.656 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.657 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 13.658 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 13.658 * [backup-simplify]: Simplify (- 0) into 0 13.659 * [backup-simplify]: Simplify (+ 0 0) into 0 13.660 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 13.660 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.661 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 13.662 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 13.663 * [backup-simplify]: Simplify (+ 0 0) into 0 13.663 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 13.663 * [taylor]: Taking taylor expansion of 0 in J 13.663 * [backup-simplify]: Simplify 0 into 0 13.663 * [taylor]: Taking taylor expansion of 0 in K 13.663 * [backup-simplify]: Simplify 0 into 0 13.663 * [backup-simplify]: Simplify 0 into 0 13.663 * [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))) 13.663 * * * * [progress]: [ 2 / 4 ] generating series at (2) 13.664 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (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)))) 13.664 * [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 13.664 * [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 13.664 * [taylor]: Taking taylor expansion of -2 in K 13.664 * [backup-simplify]: Simplify -2 into -2 13.664 * [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 13.664 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 13.664 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 13.664 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 13.664 * [taylor]: Taking taylor expansion of 1/2 in K 13.664 * [backup-simplify]: Simplify 1/2 into 1/2 13.665 * [taylor]: Taking taylor expansion of K in K 13.665 * [backup-simplify]: Simplify 0 into 0 13.665 * [backup-simplify]: Simplify 1 into 1 13.665 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.666 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 13.666 * [taylor]: Taking taylor expansion of J in K 13.666 * [backup-simplify]: Simplify J into J 13.666 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 13.666 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 13.666 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 13.666 * [taylor]: Taking taylor expansion of 1/4 in K 13.666 * [backup-simplify]: Simplify 1/4 into 1/4 13.666 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 13.666 * [taylor]: Taking taylor expansion of (pow U 2) in K 13.666 * [taylor]: Taking taylor expansion of U in K 13.666 * [backup-simplify]: Simplify U into U 13.666 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 13.666 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 13.666 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 13.666 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 13.666 * [taylor]: Taking taylor expansion of 1/2 in K 13.666 * [backup-simplify]: Simplify 1/2 into 1/2 13.666 * [taylor]: Taking taylor expansion of K in K 13.666 * [backup-simplify]: Simplify 0 into 0 13.666 * [backup-simplify]: Simplify 1 into 1 13.667 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.667 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 13.667 * [taylor]: Taking taylor expansion of (pow J 2) in K 13.667 * [taylor]: Taking taylor expansion of J in K 13.667 * [backup-simplify]: Simplify J into J 13.667 * [backup-simplify]: Simplify (* U U) into (pow U 2) 13.668 * [backup-simplify]: Simplify (* 1 1) into 1 13.668 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.668 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 13.668 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 13.668 * [taylor]: Taking taylor expansion of 1 in K 13.668 * [backup-simplify]: Simplify 1 into 1 13.668 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 13.669 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 13.669 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 13.669 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 13.669 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 13.669 * [backup-simplify]: Simplify (+ 0) into 0 13.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 13.670 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 13.670 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 13.671 * [backup-simplify]: Simplify (+ 0 0) into 0 13.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 13.671 * [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 13.671 * [taylor]: Taking taylor expansion of -2 in J 13.671 * [backup-simplify]: Simplify -2 into -2 13.671 * [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 13.671 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 13.671 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 13.671 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 13.671 * [taylor]: Taking taylor expansion of 1/2 in J 13.671 * [backup-simplify]: Simplify 1/2 into 1/2 13.671 * [taylor]: Taking taylor expansion of K in J 13.671 * [backup-simplify]: Simplify K into K 13.671 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 13.671 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 13.671 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 13.671 * [taylor]: Taking taylor expansion of J in J 13.671 * [backup-simplify]: Simplify 0 into 0 13.671 * [backup-simplify]: Simplify 1 into 1 13.671 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 13.671 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 13.671 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 13.671 * [taylor]: Taking taylor expansion of 1/4 in J 13.671 * [backup-simplify]: Simplify 1/4 into 1/4 13.671 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 13.671 * [taylor]: Taking taylor expansion of (pow U 2) in J 13.672 * [taylor]: Taking taylor expansion of U in J 13.672 * [backup-simplify]: Simplify U into U 13.672 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 13.672 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 13.672 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 13.672 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 13.672 * [taylor]: Taking taylor expansion of 1/2 in J 13.672 * [backup-simplify]: Simplify 1/2 into 1/2 13.672 * [taylor]: Taking taylor expansion of K in J 13.672 * [backup-simplify]: Simplify K into K 13.672 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 13.672 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 13.672 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 13.672 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 13.672 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 13.672 * [backup-simplify]: Simplify (- 0) into 0 13.672 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 13.672 * [taylor]: Taking taylor expansion of (pow J 2) in J 13.672 * [taylor]: Taking taylor expansion of J in J 13.672 * [backup-simplify]: Simplify 0 into 0 13.672 * [backup-simplify]: Simplify 1 into 1 13.672 * [backup-simplify]: Simplify (* U U) into (pow U 2) 13.673 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 13.673 * [backup-simplify]: Simplify (* 1 1) into 1 13.673 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 13.673 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 13.673 * [taylor]: Taking taylor expansion of 1 in J 13.673 * [backup-simplify]: Simplify 1 into 1 13.673 * [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))) 13.673 * [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))) 13.673 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 13.673 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 13.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.674 * [backup-simplify]: Simplify (+ 0) into 0 13.675 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 13.675 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 13.676 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.676 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 13.676 * [backup-simplify]: Simplify (- 0) into 0 13.676 * [backup-simplify]: Simplify (+ 0 0) into 0 13.676 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 13.677 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 13.677 * [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 13.678 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 13.678 * [backup-simplify]: Simplify (+ 0 0) into 0 13.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 13.678 * [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 13.678 * [taylor]: Taking taylor expansion of -2 in U 13.678 * [backup-simplify]: Simplify -2 into -2 13.678 * [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 13.678 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 13.678 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 13.678 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 13.678 * [taylor]: Taking taylor expansion of 1/2 in U 13.678 * [backup-simplify]: Simplify 1/2 into 1/2 13.678 * [taylor]: Taking taylor expansion of K in U 13.678 * [backup-simplify]: Simplify K into K 13.678 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 13.678 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 13.678 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 13.678 * [taylor]: Taking taylor expansion of J in U 13.678 * [backup-simplify]: Simplify J into J 13.678 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 13.678 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 13.678 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 13.678 * [taylor]: Taking taylor expansion of 1/4 in U 13.678 * [backup-simplify]: Simplify 1/4 into 1/4 13.678 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 13.678 * [taylor]: Taking taylor expansion of (pow U 2) in U 13.678 * [taylor]: Taking taylor expansion of U in U 13.679 * [backup-simplify]: Simplify 0 into 0 13.679 * [backup-simplify]: Simplify 1 into 1 13.679 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 13.679 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 13.679 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 13.679 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 13.679 * [taylor]: Taking taylor expansion of 1/2 in U 13.679 * [backup-simplify]: Simplify 1/2 into 1/2 13.679 * [taylor]: Taking taylor expansion of K in U 13.679 * [backup-simplify]: Simplify K into K 13.679 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 13.679 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 13.679 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 13.679 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 13.679 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 13.679 * [backup-simplify]: Simplify (- 0) into 0 13.679 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 13.679 * [taylor]: Taking taylor expansion of (pow J 2) in U 13.679 * [taylor]: Taking taylor expansion of J in U 13.679 * [backup-simplify]: Simplify J into J 13.680 * [backup-simplify]: Simplify (* 1 1) into 1 13.680 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 13.680 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.680 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 13.680 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 13.680 * [taylor]: Taking taylor expansion of 1 in U 13.680 * [backup-simplify]: Simplify 1 into 1 13.680 * [backup-simplify]: Simplify (+ 0 1) into 1 13.681 * [backup-simplify]: Simplify (sqrt 1) into 1 13.681 * [backup-simplify]: Simplify (+ 0 0) into 0 13.681 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.681 * [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 13.681 * [taylor]: Taking taylor expansion of -2 in U 13.681 * [backup-simplify]: Simplify -2 into -2 13.681 * [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 13.681 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 13.681 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 13.682 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 13.682 * [taylor]: Taking taylor expansion of 1/2 in U 13.682 * [backup-simplify]: Simplify 1/2 into 1/2 13.682 * [taylor]: Taking taylor expansion of K in U 13.682 * [backup-simplify]: Simplify K into K 13.682 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 13.682 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 13.682 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 13.682 * [taylor]: Taking taylor expansion of J in U 13.682 * [backup-simplify]: Simplify J into J 13.682 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 13.682 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 13.682 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 13.682 * [taylor]: Taking taylor expansion of 1/4 in U 13.682 * [backup-simplify]: Simplify 1/4 into 1/4 13.682 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 13.682 * [taylor]: Taking taylor expansion of (pow U 2) in U 13.682 * [taylor]: Taking taylor expansion of U in U 13.682 * [backup-simplify]: Simplify 0 into 0 13.682 * [backup-simplify]: Simplify 1 into 1 13.682 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 13.682 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 13.682 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 13.682 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 13.682 * [taylor]: Taking taylor expansion of 1/2 in U 13.682 * [backup-simplify]: Simplify 1/2 into 1/2 13.682 * [taylor]: Taking taylor expansion of K in U 13.682 * [backup-simplify]: Simplify K into K 13.682 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 13.682 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 13.682 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 13.682 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 13.682 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 13.683 * [backup-simplify]: Simplify (- 0) into 0 13.683 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 13.683 * [taylor]: Taking taylor expansion of (pow J 2) in U 13.683 * [taylor]: Taking taylor expansion of J in U 13.683 * [backup-simplify]: Simplify J into J 13.683 * [backup-simplify]: Simplify (* 1 1) into 1 13.683 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 13.683 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.683 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 13.683 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 13.683 * [taylor]: Taking taylor expansion of 1 in U 13.683 * [backup-simplify]: Simplify 1 into 1 13.684 * [backup-simplify]: Simplify (+ 0 1) into 1 13.684 * [backup-simplify]: Simplify (sqrt 1) into 1 13.684 * [backup-simplify]: Simplify (+ 0 0) into 0 13.684 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.685 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 13.685 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 13.685 * [backup-simplify]: Simplify (- 0) into 0 13.685 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 13.685 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 13.685 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J) 13.685 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 13.685 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 13.685 * [taylor]: Taking taylor expansion of -2 in J 13.685 * [backup-simplify]: Simplify -2 into -2 13.685 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 13.685 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 13.685 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 13.685 * [taylor]: Taking taylor expansion of 1/2 in J 13.685 * [backup-simplify]: Simplify 1/2 into 1/2 13.685 * [taylor]: Taking taylor expansion of K in J 13.685 * [backup-simplify]: Simplify K into K 13.685 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 13.685 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 13.685 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 13.685 * [taylor]: Taking taylor expansion of J in J 13.685 * [backup-simplify]: Simplify 0 into 0 13.686 * [backup-simplify]: Simplify 1 into 1 13.686 * [backup-simplify]: Simplify (+ 0) into 0 13.686 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 13.686 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 13.687 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.687 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 13.687 * [backup-simplify]: Simplify (- 0) into 0 13.688 * [backup-simplify]: Simplify (+ 0 0) into 0 13.688 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 13.688 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0 13.688 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 13.688 * [taylor]: Taking taylor expansion of 0 in J 13.688 * [backup-simplify]: Simplify 0 into 0 13.689 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 13.689 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 13.689 * [backup-simplify]: Simplify (- 0) into 0 13.689 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 13.689 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 13.689 * [backup-simplify]: Simplify (* -2 0) into 0 13.689 * [taylor]: Taking taylor expansion of 0 in K 13.689 * [backup-simplify]: Simplify 0 into 0 13.689 * [backup-simplify]: Simplify 0 into 0 13.689 * [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))) 13.690 * [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)))) 13.690 * [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))) 13.691 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.691 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.692 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 13.693 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.693 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.694 * [backup-simplify]: Simplify (- 0) into 0 13.694 * [backup-simplify]: Simplify (+ 0 0) into 0 13.694 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 13.695 * [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))) 13.695 * [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)))) 13.695 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J 13.695 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J 13.695 * [taylor]: Taking taylor expansion of 1/4 in J 13.695 * [backup-simplify]: Simplify 1/4 into 1/4 13.695 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J 13.695 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 13.695 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 13.695 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 13.695 * [taylor]: Taking taylor expansion of 1/2 in J 13.695 * [backup-simplify]: Simplify 1/2 into 1/2 13.695 * [taylor]: Taking taylor expansion of K in J 13.695 * [backup-simplify]: Simplify K into K 13.695 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 13.695 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 13.695 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 13.695 * [taylor]: Taking taylor expansion of J in J 13.695 * [backup-simplify]: Simplify 0 into 0 13.695 * [backup-simplify]: Simplify 1 into 1 13.695 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 13.696 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 13.696 * [backup-simplify]: Simplify (- 0) into 0 13.696 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 13.696 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 13.696 * [backup-simplify]: Simplify (+ 0) into 0 13.696 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 13.697 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 13.697 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.698 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 13.698 * [backup-simplify]: Simplify (- 0) into 0 13.698 * [backup-simplify]: Simplify (+ 0 0) into 0 13.698 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 13.698 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 13.698 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K))) 13.698 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K))))) 13.699 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K 13.699 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K 13.699 * [taylor]: Taking taylor expansion of 1/4 in K 13.699 * [backup-simplify]: Simplify 1/4 into 1/4 13.699 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K 13.699 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 13.699 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 13.699 * [taylor]: Taking taylor expansion of 1/2 in K 13.699 * [backup-simplify]: Simplify 1/2 into 1/2 13.699 * [taylor]: Taking taylor expansion of K in K 13.699 * [backup-simplify]: Simplify 0 into 0 13.699 * [backup-simplify]: Simplify 1 into 1 13.699 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.699 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 13.700 * [backup-simplify]: Simplify (/ 1 1) into 1 13.700 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 13.700 * [backup-simplify]: Simplify (- 1/4) into -1/4 13.700 * [backup-simplify]: Simplify -1/4 into -1/4 13.700 * [taylor]: Taking taylor expansion of 0 in K 13.700 * [backup-simplify]: Simplify 0 into 0 13.700 * [backup-simplify]: Simplify 0 into 0 13.701 * [backup-simplify]: Simplify (+ 0) into 0 13.701 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 13.701 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 13.702 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.702 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 13.702 * [backup-simplify]: Simplify (- 0) into 0 13.702 * [backup-simplify]: Simplify (+ 0 0) into 0 13.703 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 13.703 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 13.703 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 13.703 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 13.703 * [taylor]: Taking taylor expansion of 2 in K 13.703 * [backup-simplify]: Simplify 2 into 2 13.703 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 13.703 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 13.703 * [taylor]: Taking taylor expansion of 1/2 in K 13.703 * [backup-simplify]: Simplify 1/2 into 1/2 13.703 * [taylor]: Taking taylor expansion of K in K 13.703 * [backup-simplify]: Simplify 0 into 0 13.703 * [backup-simplify]: Simplify 1 into 1 13.703 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.704 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 13.704 * [backup-simplify]: Simplify (* 2 1) into 2 13.704 * [backup-simplify]: Simplify (- 2) into -2 13.704 * [backup-simplify]: Simplify -2 into -2 13.704 * [backup-simplify]: Simplify 0 into 0 13.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.705 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 13.705 * [backup-simplify]: Simplify (+ 0) into 0 13.706 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 13.706 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 13.707 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.707 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 13.708 * [backup-simplify]: Simplify (- 0) into 0 13.708 * [backup-simplify]: Simplify (+ 0 0) into 0 13.708 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 13.708 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 13.709 * [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 13.710 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 13.710 * [backup-simplify]: Simplify (+ 0 0) into 0 13.711 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 13.711 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 13.712 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.713 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 13.715 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 13.715 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 13.716 * [backup-simplify]: Simplify (- 0) into 0 13.716 * [backup-simplify]: Simplify (+ 0 0) into 0 13.717 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 13.718 * [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 13.719 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 13.719 * [taylor]: Taking taylor expansion of 0 in J 13.719 * [backup-simplify]: Simplify 0 into 0 13.720 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.720 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.721 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 13.722 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.722 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.723 * [backup-simplify]: Simplify (- 0) into 0 13.723 * [backup-simplify]: Simplify (+ 0 0) into 0 13.724 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 13.724 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 13.725 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 13.725 * [backup-simplify]: Simplify (- 0) into 0 13.725 * [taylor]: Taking taylor expansion of 0 in K 13.725 * [backup-simplify]: Simplify 0 into 0 13.725 * [backup-simplify]: Simplify 0 into 0 13.725 * [taylor]: Taking taylor expansion of 0 in K 13.725 * [backup-simplify]: Simplify 0 into 0 13.725 * [backup-simplify]: Simplify 0 into 0 13.726 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.727 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.728 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 13.728 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.729 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.729 * [backup-simplify]: Simplify (- 0) into 0 13.729 * [backup-simplify]: Simplify (+ 0 0) into 0 13.730 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 13.730 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 13.730 * [taylor]: Taking taylor expansion of 0 in K 13.730 * [backup-simplify]: Simplify 0 into 0 13.730 * [backup-simplify]: Simplify 0 into 0 13.731 * [backup-simplify]: Simplify (+ 0) into 0 13.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.731 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 13.732 * [backup-simplify]: Simplify (- 0) into 0 13.732 * [backup-simplify]: Simplify 0 into 0 13.732 * [backup-simplify]: Simplify 0 into 0 13.732 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 13.733 * [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)) (* (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2)))) (* (cbrt (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))) 13.733 * [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 13.733 * [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 13.733 * [taylor]: Taking taylor expansion of -2 in K 13.733 * [backup-simplify]: Simplify -2 into -2 13.733 * [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 13.733 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 13.733 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 13.733 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 13.733 * [taylor]: Taking taylor expansion of 1/4 in K 13.733 * [backup-simplify]: Simplify 1/4 into 1/4 13.733 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 13.733 * [taylor]: Taking taylor expansion of (pow J 2) in K 13.733 * [taylor]: Taking taylor expansion of J in K 13.733 * [backup-simplify]: Simplify J into J 13.733 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 13.733 * [taylor]: Taking taylor expansion of (pow U 2) in K 13.733 * [taylor]: Taking taylor expansion of U in K 13.733 * [backup-simplify]: Simplify U into U 13.733 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 13.733 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 13.733 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 13.733 * [taylor]: Taking taylor expansion of 1/2 in K 13.733 * [backup-simplify]: Simplify 1/2 into 1/2 13.733 * [taylor]: Taking taylor expansion of K in K 13.733 * [backup-simplify]: Simplify 0 into 0 13.733 * [backup-simplify]: Simplify 1 into 1 13.733 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.733 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.733 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.733 * [backup-simplify]: Simplify (* U U) into (pow U 2) 13.734 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 13.734 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 13.734 * [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))) 13.734 * [taylor]: Taking taylor expansion of 1 in K 13.734 * [backup-simplify]: Simplify 1 into 1 13.734 * [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)))) 13.734 * [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) 13.734 * [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)) 13.734 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 13.735 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 13.735 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 13.735 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 13.735 * [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 13.739 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 13.740 * [backup-simplify]: Simplify (+ 0 0) into 0 13.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 13.741 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 13.741 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 13.741 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 13.741 * [taylor]: Taking taylor expansion of 1/2 in K 13.741 * [backup-simplify]: Simplify 1/2 into 1/2 13.741 * [taylor]: Taking taylor expansion of K in K 13.741 * [backup-simplify]: Simplify 0 into 0 13.741 * [backup-simplify]: Simplify 1 into 1 13.741 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.741 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.741 * [taylor]: Taking taylor expansion of J in K 13.741 * [backup-simplify]: Simplify J into J 13.741 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 13.741 * [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 13.741 * [taylor]: Taking taylor expansion of -2 in J 13.741 * [backup-simplify]: Simplify -2 into -2 13.741 * [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 13.741 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 13.741 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 13.741 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 13.741 * [taylor]: Taking taylor expansion of 1/4 in J 13.741 * [backup-simplify]: Simplify 1/4 into 1/4 13.741 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 13.741 * [taylor]: Taking taylor expansion of (pow J 2) in J 13.741 * [taylor]: Taking taylor expansion of J in J 13.741 * [backup-simplify]: Simplify 0 into 0 13.741 * [backup-simplify]: Simplify 1 into 1 13.741 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 13.741 * [taylor]: Taking taylor expansion of (pow U 2) in J 13.742 * [taylor]: Taking taylor expansion of U in J 13.742 * [backup-simplify]: Simplify U into U 13.742 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 13.742 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 13.742 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 13.742 * [taylor]: Taking taylor expansion of 1/2 in J 13.742 * [backup-simplify]: Simplify 1/2 into 1/2 13.742 * [taylor]: Taking taylor expansion of K in J 13.742 * [backup-simplify]: Simplify K into K 13.742 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.742 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.742 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 13.742 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.742 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 13.742 * [backup-simplify]: Simplify (- 0) into 0 13.742 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 13.742 * [backup-simplify]: Simplify (* 1 1) into 1 13.742 * [backup-simplify]: Simplify (* U U) into (pow U 2) 13.743 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 13.743 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 13.743 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 13.743 * [taylor]: Taking taylor expansion of 1 in J 13.743 * [backup-simplify]: Simplify 1 into 1 13.743 * [backup-simplify]: Simplify (+ 0 1) into 1 13.743 * [backup-simplify]: Simplify (sqrt 1) into 1 13.744 * [backup-simplify]: Simplify (+ 0 0) into 0 13.744 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.744 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 13.744 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 13.744 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 13.744 * [taylor]: Taking taylor expansion of 1/2 in J 13.744 * [backup-simplify]: Simplify 1/2 into 1/2 13.744 * [taylor]: Taking taylor expansion of K in J 13.744 * [backup-simplify]: Simplify K into K 13.744 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.744 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.744 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 13.744 * [taylor]: Taking taylor expansion of J in J 13.744 * [backup-simplify]: Simplify 0 into 0 13.744 * [backup-simplify]: Simplify 1 into 1 13.744 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.744 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 13.745 * [backup-simplify]: Simplify (- 0) into 0 13.745 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 13.745 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.745 * [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 13.745 * [taylor]: Taking taylor expansion of -2 in U 13.745 * [backup-simplify]: Simplify -2 into -2 13.745 * [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 13.745 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 13.745 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 13.745 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 13.745 * [taylor]: Taking taylor expansion of 1/4 in U 13.745 * [backup-simplify]: Simplify 1/4 into 1/4 13.745 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 13.745 * [taylor]: Taking taylor expansion of (pow J 2) in U 13.745 * [taylor]: Taking taylor expansion of J in U 13.745 * [backup-simplify]: Simplify J into J 13.745 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 13.745 * [taylor]: Taking taylor expansion of (pow U 2) in U 13.745 * [taylor]: Taking taylor expansion of U in U 13.745 * [backup-simplify]: Simplify 0 into 0 13.745 * [backup-simplify]: Simplify 1 into 1 13.745 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 13.745 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 13.745 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 13.745 * [taylor]: Taking taylor expansion of 1/2 in U 13.745 * [backup-simplify]: Simplify 1/2 into 1/2 13.745 * [taylor]: Taking taylor expansion of K in U 13.745 * [backup-simplify]: Simplify K into K 13.745 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.745 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.745 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 13.745 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.745 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 13.746 * [backup-simplify]: Simplify (- 0) into 0 13.746 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 13.746 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.746 * [backup-simplify]: Simplify (* 1 1) into 1 13.746 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 13.746 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 13.746 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 13.746 * [taylor]: Taking taylor expansion of 1 in U 13.746 * [backup-simplify]: Simplify 1 into 1 13.746 * [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))) 13.747 * [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))) 13.747 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 13.747 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 13.747 * [backup-simplify]: Simplify (+ 0) into 0 13.747 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 13.747 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 13.748 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.748 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 13.748 * [backup-simplify]: Simplify (- 0) into 0 13.749 * [backup-simplify]: Simplify (+ 0 0) into 0 13.749 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 13.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 13.750 * [backup-simplify]: 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 13.750 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 13.750 * [backup-simplify]: Simplify (+ 0 0) into 0 13.751 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 13.751 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 13.751 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 13.751 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 13.751 * [taylor]: Taking taylor expansion of 1/2 in U 13.751 * [backup-simplify]: Simplify 1/2 into 1/2 13.751 * [taylor]: Taking taylor expansion of K in U 13.751 * [backup-simplify]: Simplify K into K 13.751 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.751 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.751 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 13.751 * [taylor]: Taking taylor expansion of J in U 13.751 * [backup-simplify]: Simplify J into J 13.751 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.751 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 13.751 * [backup-simplify]: Simplify (- 0) into 0 13.751 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 13.751 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 13.751 * [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 13.751 * [taylor]: Taking taylor expansion of -2 in U 13.751 * [backup-simplify]: Simplify -2 into -2 13.751 * [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 13.751 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 13.751 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 13.752 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 13.752 * [taylor]: Taking taylor expansion of 1/4 in U 13.752 * [backup-simplify]: Simplify 1/4 into 1/4 13.752 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 13.752 * [taylor]: Taking taylor expansion of (pow J 2) in U 13.752 * [taylor]: Taking taylor expansion of J in U 13.752 * [backup-simplify]: Simplify J into J 13.752 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 13.752 * [taylor]: Taking taylor expansion of (pow U 2) in U 13.752 * [taylor]: Taking taylor expansion of U in U 13.752 * [backup-simplify]: Simplify 0 into 0 13.752 * [backup-simplify]: Simplify 1 into 1 13.752 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 13.752 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 13.752 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 13.752 * [taylor]: Taking taylor expansion of 1/2 in U 13.752 * [backup-simplify]: Simplify 1/2 into 1/2 13.752 * [taylor]: Taking taylor expansion of K in U 13.752 * [backup-simplify]: Simplify K into K 13.752 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.752 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.752 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 13.752 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.752 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 13.752 * [backup-simplify]: Simplify (- 0) into 0 13.752 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 13.752 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.753 * [backup-simplify]: Simplify (* 1 1) into 1 13.753 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 13.753 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 13.753 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 13.753 * [taylor]: Taking taylor expansion of 1 in U 13.753 * [backup-simplify]: Simplify 1 into 1 13.753 * [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))) 13.753 * [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))) 13.753 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 13.754 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 13.754 * [backup-simplify]: Simplify (+ 0) into 0 13.754 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 13.754 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 13.755 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.755 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 13.755 * [backup-simplify]: Simplify (- 0) into 0 13.756 * [backup-simplify]: Simplify (+ 0 0) into 0 13.756 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 13.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 13.757 * [backup-simplify]: 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 13.757 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 13.757 * [backup-simplify]: Simplify (+ 0 0) into 0 13.758 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 13.758 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 13.758 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 13.758 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 13.758 * [taylor]: Taking taylor expansion of 1/2 in U 13.758 * [backup-simplify]: Simplify 1/2 into 1/2 13.758 * [taylor]: Taking taylor expansion of K in U 13.758 * [backup-simplify]: Simplify K into K 13.758 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.758 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.758 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 13.758 * [taylor]: Taking taylor expansion of J in U 13.758 * [backup-simplify]: Simplify J into J 13.758 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.758 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 13.758 * [backup-simplify]: Simplify (- 0) into 0 13.758 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 13.758 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 13.759 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2 13.759 * [backup-simplify]: Simplify (* -2 1/2) into -1 13.759 * [taylor]: Taking taylor expansion of -1 in J 13.759 * [backup-simplify]: Simplify -1 into -1 13.759 * [backup-simplify]: Simplify (+ 0) into 0 13.760 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 13.760 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 13.760 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.760 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 13.761 * [backup-simplify]: Simplify (- 0) into 0 13.761 * [backup-simplify]: Simplify (+ 0 0) into 0 13.761 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 13.761 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 13.762 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 13.762 * [taylor]: Taking taylor expansion of 0 in J 13.762 * [backup-simplify]: Simplify 0 into 0 13.762 * [taylor]: Taking taylor expansion of -1 in K 13.762 * [backup-simplify]: Simplify -1 into -1 13.762 * [backup-simplify]: Simplify -1 into -1 13.762 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.763 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.763 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.763 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.764 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.764 * [backup-simplify]: Simplify (- 0) into 0 13.764 * [backup-simplify]: Simplify (+ 0 0) into 0 13.765 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 13.765 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 13.766 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.766 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.766 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.767 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.767 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.768 * [backup-simplify]: Simplify (- 0) into 0 13.768 * [backup-simplify]: Simplify (+ 0 0) into 0 13.768 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 13.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 13.770 * [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))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 13.770 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 13.770 * [backup-simplify]: Simplify (+ 0 1) into 1 13.771 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 13.772 * [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)) 13.772 * [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)))) 13.772 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 13.772 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 13.772 * [taylor]: Taking taylor expansion of 2 in J 13.772 * [backup-simplify]: Simplify 2 into 2 13.772 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 13.772 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 13.772 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 13.772 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 13.773 * [taylor]: Taking taylor expansion of 1/2 in J 13.773 * [backup-simplify]: Simplify 1/2 into 1/2 13.773 * [taylor]: Taking taylor expansion of K in J 13.773 * [backup-simplify]: Simplify K into K 13.773 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.773 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.773 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 13.773 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.773 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 13.773 * [backup-simplify]: Simplify (- 0) into 0 13.773 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 13.773 * [taylor]: Taking taylor expansion of (pow J 2) in J 13.773 * [taylor]: Taking taylor expansion of J in J 13.773 * [backup-simplify]: Simplify 0 into 0 13.773 * [backup-simplify]: Simplify 1 into 1 13.773 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 13.774 * [backup-simplify]: Simplify (* 1 1) into 1 13.774 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 13.774 * [backup-simplify]: Simplify (+ 0) into 0 13.774 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 13.774 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 13.775 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.775 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 13.776 * [backup-simplify]: Simplify (- 0) into 0 13.776 * [backup-simplify]: Simplify (+ 0 0) into 0 13.776 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 13.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.777 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 13.777 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 13.778 * [backup-simplify]: Simplify (- 0) into 0 13.778 * [taylor]: Taking taylor expansion of 0 in K 13.778 * [backup-simplify]: Simplify 0 into 0 13.778 * [backup-simplify]: Simplify 0 into 0 13.778 * [taylor]: Taking taylor expansion of 0 in K 13.778 * [backup-simplify]: Simplify 0 into 0 13.778 * [backup-simplify]: Simplify 0 into 0 13.778 * [taylor]: Taking taylor expansion of 0 in K 13.778 * [backup-simplify]: Simplify 0 into 0 13.778 * [backup-simplify]: Simplify 0 into 0 13.778 * [backup-simplify]: Simplify 0 into 0 13.778 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 13.779 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.779 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.780 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 13.780 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 13.781 * [backup-simplify]: Simplify (- 0) into 0 13.781 * [backup-simplify]: Simplify (+ 0 0) into 0 13.781 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 13.782 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 13.782 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 13.783 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.783 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.784 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 13.784 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 13.784 * [backup-simplify]: Simplify (- 0) into 0 13.785 * [backup-simplify]: Simplify (+ 0 0) into 0 13.785 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 13.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 13.787 * [backup-simplify]: 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 13.788 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 13.788 * [backup-simplify]: Simplify (+ 0 0) into 0 13.788 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 13.788 * [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 13.789 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 13.789 * [taylor]: Taking taylor expansion of 0 in J 13.789 * [backup-simplify]: Simplify 0 into 0 13.790 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.790 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.790 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.791 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.791 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.791 * [backup-simplify]: Simplify (- 0) into 0 13.792 * [backup-simplify]: Simplify (+ 0 0) into 0 13.792 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 13.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.795 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 13.795 * [backup-simplify]: Simplify (- 0) into 0 13.795 * [taylor]: Taking taylor expansion of 0 in K 13.795 * [backup-simplify]: Simplify 0 into 0 13.795 * [backup-simplify]: Simplify 0 into 0 13.795 * [taylor]: Taking taylor expansion of 0 in K 13.795 * [backup-simplify]: Simplify 0 into 0 13.795 * [backup-simplify]: Simplify 0 into 0 13.795 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 13.797 * [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)) (* (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2)))) (* (cbrt (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)))))))) 13.797 * [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 13.797 * [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 13.797 * [taylor]: Taking taylor expansion of 2 in K 13.797 * [backup-simplify]: Simplify 2 into 2 13.797 * [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 13.797 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 13.797 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 13.797 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 13.797 * [taylor]: Taking taylor expansion of -1/2 in K 13.797 * [backup-simplify]: Simplify -1/2 into -1/2 13.797 * [taylor]: Taking taylor expansion of K in K 13.797 * [backup-simplify]: Simplify 0 into 0 13.797 * [backup-simplify]: Simplify 1 into 1 13.797 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 13.797 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.798 * [taylor]: Taking taylor expansion of J in K 13.798 * [backup-simplify]: Simplify J into J 13.798 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 13.798 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 13.798 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 13.798 * [taylor]: Taking taylor expansion of 1 in K 13.798 * [backup-simplify]: Simplify 1 into 1 13.798 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 13.798 * [taylor]: Taking taylor expansion of 1/4 in K 13.798 * [backup-simplify]: Simplify 1/4 into 1/4 13.798 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 13.798 * [taylor]: Taking taylor expansion of (pow J 2) in K 13.798 * [taylor]: Taking taylor expansion of J in K 13.798 * [backup-simplify]: Simplify J into J 13.798 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 13.798 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 13.798 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 13.798 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 13.798 * [taylor]: Taking taylor expansion of -1/2 in K 13.798 * [backup-simplify]: Simplify -1/2 into -1/2 13.798 * [taylor]: Taking taylor expansion of K in K 13.798 * [backup-simplify]: Simplify 0 into 0 13.798 * [backup-simplify]: Simplify 1 into 1 13.799 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 13.799 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.799 * [taylor]: Taking taylor expansion of (pow U 2) in K 13.799 * [taylor]: Taking taylor expansion of U in K 13.799 * [backup-simplify]: Simplify U into U 13.799 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.799 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 13.799 * [backup-simplify]: Simplify (* U U) into (pow U 2) 13.799 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 13.799 * [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))) 13.800 * [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)))) 13.800 * [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))))) 13.800 * [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)))))) 13.800 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 13.801 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 13.801 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 13.801 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 13.801 * [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 13.802 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 13.803 * [backup-simplify]: Simplify (+ 0 0) into 0 13.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 13.803 * [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 13.803 * [taylor]: Taking taylor expansion of 2 in J 13.803 * [backup-simplify]: Simplify 2 into 2 13.803 * [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 13.803 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 13.803 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 13.803 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 13.803 * [taylor]: Taking taylor expansion of -1/2 in J 13.803 * [backup-simplify]: Simplify -1/2 into -1/2 13.803 * [taylor]: Taking taylor expansion of K in J 13.803 * [backup-simplify]: Simplify K into K 13.803 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 13.803 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.804 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 13.804 * [taylor]: Taking taylor expansion of J in J 13.804 * [backup-simplify]: Simplify 0 into 0 13.804 * [backup-simplify]: Simplify 1 into 1 13.804 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.804 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 13.804 * [backup-simplify]: Simplify (- 0) into 0 13.804 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 13.804 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.804 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 13.804 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 13.804 * [taylor]: Taking taylor expansion of 1 in J 13.804 * [backup-simplify]: Simplify 1 into 1 13.804 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 13.804 * [taylor]: Taking taylor expansion of 1/4 in J 13.805 * [backup-simplify]: Simplify 1/4 into 1/4 13.805 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 13.805 * [taylor]: Taking taylor expansion of (pow J 2) in J 13.805 * [taylor]: Taking taylor expansion of J in J 13.805 * [backup-simplify]: Simplify 0 into 0 13.805 * [backup-simplify]: Simplify 1 into 1 13.805 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 13.805 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 13.805 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 13.805 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 13.805 * [taylor]: Taking taylor expansion of -1/2 in J 13.805 * [backup-simplify]: Simplify -1/2 into -1/2 13.805 * [taylor]: Taking taylor expansion of K in J 13.805 * [backup-simplify]: Simplify K into K 13.805 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 13.805 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.805 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 13.805 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.805 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 13.806 * [backup-simplify]: Simplify (- 0) into 0 13.806 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 13.806 * [taylor]: Taking taylor expansion of (pow U 2) in J 13.806 * [taylor]: Taking taylor expansion of U in J 13.806 * [backup-simplify]: Simplify U into U 13.806 * [backup-simplify]: Simplify (* 1 1) into 1 13.806 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 13.806 * [backup-simplify]: Simplify (* U U) into (pow U 2) 13.806 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 13.807 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 13.807 * [backup-simplify]: Simplify (+ 1 0) into 1 13.807 * [backup-simplify]: Simplify (sqrt 1) into 1 13.808 * [backup-simplify]: Simplify (+ 0 0) into 0 13.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.809 * [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 13.809 * [taylor]: Taking taylor expansion of 2 in U 13.809 * [backup-simplify]: Simplify 2 into 2 13.809 * [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 13.809 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 13.809 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 13.809 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 13.809 * [taylor]: Taking taylor expansion of -1/2 in U 13.809 * [backup-simplify]: Simplify -1/2 into -1/2 13.809 * [taylor]: Taking taylor expansion of K in U 13.809 * [backup-simplify]: Simplify K into K 13.809 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 13.809 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.809 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 13.809 * [taylor]: Taking taylor expansion of J in U 13.809 * [backup-simplify]: Simplify J into J 13.809 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.809 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 13.810 * [backup-simplify]: Simplify (- 0) into 0 13.810 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 13.810 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 13.810 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 13.810 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 13.810 * [taylor]: Taking taylor expansion of 1 in U 13.810 * [backup-simplify]: Simplify 1 into 1 13.810 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 13.810 * [taylor]: Taking taylor expansion of 1/4 in U 13.810 * [backup-simplify]: Simplify 1/4 into 1/4 13.810 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 13.810 * [taylor]: Taking taylor expansion of (pow J 2) in U 13.810 * [taylor]: Taking taylor expansion of J in U 13.810 * [backup-simplify]: Simplify J into J 13.810 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 13.810 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 13.810 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 13.810 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 13.810 * [taylor]: Taking taylor expansion of -1/2 in U 13.810 * [backup-simplify]: Simplify -1/2 into -1/2 13.810 * [taylor]: Taking taylor expansion of K in U 13.810 * [backup-simplify]: Simplify K into K 13.810 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 13.810 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.810 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 13.811 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.811 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 13.811 * [backup-simplify]: Simplify (- 0) into 0 13.811 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 13.811 * [taylor]: Taking taylor expansion of (pow U 2) in U 13.811 * [taylor]: Taking taylor expansion of U in U 13.811 * [backup-simplify]: Simplify 0 into 0 13.811 * [backup-simplify]: Simplify 1 into 1 13.811 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.811 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 13.812 * [backup-simplify]: Simplify (* 1 1) into 1 13.812 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 13.812 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 13.812 * [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))) 13.813 * [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))) 13.813 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 13.813 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 13.813 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.814 * [backup-simplify]: Simplify (+ 0) into 0 13.814 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 13.814 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 13.815 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.816 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 13.816 * [backup-simplify]: Simplify (- 0) into 0 13.816 * [backup-simplify]: Simplify (+ 0 0) into 0 13.817 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 13.817 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 13.818 * [backup-simplify]: 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 13.818 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 13.819 * [backup-simplify]: Simplify (+ 0 0) into 0 13.819 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 13.819 * [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 13.819 * [taylor]: Taking taylor expansion of 2 in U 13.819 * [backup-simplify]: Simplify 2 into 2 13.819 * [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 13.819 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 13.819 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 13.819 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 13.819 * [taylor]: Taking taylor expansion of -1/2 in U 13.819 * [backup-simplify]: Simplify -1/2 into -1/2 13.819 * [taylor]: Taking taylor expansion of K in U 13.819 * [backup-simplify]: Simplify K into K 13.819 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 13.819 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.819 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 13.819 * [taylor]: Taking taylor expansion of J in U 13.820 * [backup-simplify]: Simplify J into J 13.820 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.820 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 13.820 * [backup-simplify]: Simplify (- 0) into 0 13.820 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 13.820 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 13.820 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 13.820 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 13.820 * [taylor]: Taking taylor expansion of 1 in U 13.820 * [backup-simplify]: Simplify 1 into 1 13.820 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 13.821 * [taylor]: Taking taylor expansion of 1/4 in U 13.821 * [backup-simplify]: Simplify 1/4 into 1/4 13.821 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 13.821 * [taylor]: Taking taylor expansion of (pow J 2) in U 13.821 * [taylor]: Taking taylor expansion of J in U 13.821 * [backup-simplify]: Simplify J into J 13.821 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 13.821 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 13.821 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 13.821 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 13.821 * [taylor]: Taking taylor expansion of -1/2 in U 13.821 * [backup-simplify]: Simplify -1/2 into -1/2 13.821 * [taylor]: Taking taylor expansion of K in U 13.821 * [backup-simplify]: Simplify K into K 13.821 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 13.821 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.821 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 13.821 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.822 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 13.822 * [backup-simplify]: Simplify (- 0) into 0 13.822 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 13.822 * [taylor]: Taking taylor expansion of (pow U 2) in U 13.822 * [taylor]: Taking taylor expansion of U in U 13.822 * [backup-simplify]: Simplify 0 into 0 13.822 * [backup-simplify]: Simplify 1 into 1 13.822 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.822 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 13.823 * [backup-simplify]: Simplify (* 1 1) into 1 13.823 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 13.823 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 13.823 * [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))) 13.824 * [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))) 13.824 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 13.824 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 13.825 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.825 * [backup-simplify]: Simplify (+ 0) into 0 13.826 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 13.826 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 13.827 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.828 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 13.828 * [backup-simplify]: Simplify (- 0) into 0 13.828 * [backup-simplify]: Simplify (+ 0 0) into 0 13.828 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 13.829 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 13.829 * [backup-simplify]: 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 13.830 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 13.830 * [backup-simplify]: Simplify (+ 0 0) into 0 13.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 13.831 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2 13.835 * [backup-simplify]: Simplify (* 2 1/2) into 1 13.835 * [taylor]: Taking taylor expansion of 1 in J 13.835 * [backup-simplify]: Simplify 1 into 1 13.835 * [backup-simplify]: Simplify (+ 0) into 0 13.836 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 13.836 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 13.837 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.837 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 13.837 * [backup-simplify]: Simplify (- 0) into 0 13.838 * [backup-simplify]: Simplify (+ 0 0) into 0 13.838 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 13.838 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 13.839 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 13.839 * [taylor]: Taking taylor expansion of 0 in J 13.839 * [backup-simplify]: Simplify 0 into 0 13.839 * [taylor]: Taking taylor expansion of 1 in K 13.839 * [backup-simplify]: Simplify 1 into 1 13.839 * [backup-simplify]: Simplify 1 into 1 13.840 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 13.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.842 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.843 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.843 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.844 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.844 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.845 * [backup-simplify]: Simplify (- 0) into 0 13.845 * [backup-simplify]: Simplify (+ 0 0) into 0 13.846 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 13.847 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 13.847 * [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))))) into 0 13.848 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 13.848 * [backup-simplify]: Simplify (+ 1 0) into 1 13.849 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 13.850 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.851 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.851 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.852 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.852 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.853 * [backup-simplify]: Simplify (- 0) into 0 13.853 * [backup-simplify]: Simplify (+ 0 0) into 0 13.853 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 13.854 * [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)) 13.855 * [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))) 13.855 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 13.855 * [taylor]: Taking taylor expansion of 2 in J 13.855 * [backup-simplify]: Simplify 2 into 2 13.855 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 13.855 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 13.855 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 13.855 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 13.855 * [taylor]: Taking taylor expansion of -1/2 in J 13.855 * [backup-simplify]: Simplify -1/2 into -1/2 13.855 * [taylor]: Taking taylor expansion of K in J 13.855 * [backup-simplify]: Simplify K into K 13.855 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 13.855 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.855 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 13.855 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.855 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 13.856 * [backup-simplify]: Simplify (- 0) into 0 13.856 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 13.856 * [taylor]: Taking taylor expansion of (pow J 2) in J 13.856 * [taylor]: Taking taylor expansion of J in J 13.856 * [backup-simplify]: Simplify 0 into 0 13.856 * [backup-simplify]: Simplify 1 into 1 13.856 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 13.861 * [backup-simplify]: Simplify (* 1 1) into 1 13.862 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 13.862 * [backup-simplify]: Simplify (+ 0) into 0 13.863 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 13.863 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 13.864 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.864 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 13.864 * [backup-simplify]: Simplify (- 0) into 0 13.865 * [backup-simplify]: Simplify (+ 0 0) into 0 13.865 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 13.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 13.867 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 13.867 * [taylor]: Taking taylor expansion of 0 in K 13.867 * [backup-simplify]: Simplify 0 into 0 13.867 * [backup-simplify]: Simplify 0 into 0 13.867 * [taylor]: Taking taylor expansion of 0 in K 13.867 * [backup-simplify]: Simplify 0 into 0 13.867 * [backup-simplify]: Simplify 0 into 0 13.867 * [taylor]: Taking taylor expansion of 0 in K 13.867 * [backup-simplify]: Simplify 0 into 0 13.867 * [backup-simplify]: Simplify 0 into 0 13.867 * [backup-simplify]: Simplify 0 into 0 13.868 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 13.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.870 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 13.871 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.871 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.872 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 13.873 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 13.873 * [backup-simplify]: Simplify (- 0) into 0 13.874 * [backup-simplify]: Simplify (+ 0 0) into 0 13.875 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 13.875 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.876 * [backup-simplify]: 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 13.877 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 13.878 * [backup-simplify]: Simplify (+ 0 0) into 0 13.878 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 13.879 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 13.880 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.880 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.881 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 13.882 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 13.882 * [backup-simplify]: Simplify (- 0) into 0 13.883 * [backup-simplify]: Simplify (+ 0 0) into 0 13.883 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 13.883 * [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 13.885 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 13.885 * [taylor]: Taking taylor expansion of 0 in J 13.885 * [backup-simplify]: Simplify 0 into 0 13.886 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.887 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.887 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.888 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.888 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.889 * [backup-simplify]: Simplify (- 0) into 0 13.889 * [backup-simplify]: Simplify (+ 0 0) into 0 13.890 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 13.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.893 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 13.893 * [taylor]: Taking taylor expansion of 0 in K 13.893 * [backup-simplify]: Simplify 0 into 0 13.893 * [backup-simplify]: Simplify 0 into 0 13.893 * [taylor]: Taking taylor expansion of 0 in K 13.893 * [backup-simplify]: Simplify 0 into 0 13.893 * [backup-simplify]: Simplify 0 into 0 13.893 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 13.893 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 13.894 * [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)))) 13.894 * [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 13.894 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 13.894 * [taylor]: Taking taylor expansion of 1/4 in K 13.894 * [backup-simplify]: Simplify 1/4 into 1/4 13.894 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 13.894 * [taylor]: Taking taylor expansion of (pow U 2) in K 13.894 * [taylor]: Taking taylor expansion of U in K 13.894 * [backup-simplify]: Simplify U into U 13.894 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 13.894 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 13.894 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 13.894 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 13.894 * [taylor]: Taking taylor expansion of 1/2 in K 13.894 * [backup-simplify]: Simplify 1/2 into 1/2 13.894 * [taylor]: Taking taylor expansion of K in K 13.894 * [backup-simplify]: Simplify 0 into 0 13.894 * [backup-simplify]: Simplify 1 into 1 13.894 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.895 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 13.895 * [taylor]: Taking taylor expansion of (pow J 2) in K 13.895 * [taylor]: Taking taylor expansion of J in K 13.895 * [backup-simplify]: Simplify J into J 13.895 * [backup-simplify]: Simplify (* U U) into (pow U 2) 13.896 * [backup-simplify]: Simplify (* 1 1) into 1 13.896 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.896 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 13.896 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 13.896 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 13.896 * [taylor]: Taking taylor expansion of 1/4 in J 13.896 * [backup-simplify]: Simplify 1/4 into 1/4 13.896 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 13.896 * [taylor]: Taking taylor expansion of (pow U 2) in J 13.896 * [taylor]: Taking taylor expansion of U in J 13.896 * [backup-simplify]: Simplify U into U 13.896 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 13.896 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 13.896 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 13.896 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 13.896 * [taylor]: Taking taylor expansion of 1/2 in J 13.896 * [backup-simplify]: Simplify 1/2 into 1/2 13.896 * [taylor]: Taking taylor expansion of K in J 13.896 * [backup-simplify]: Simplify K into K 13.896 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 13.896 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 13.897 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 13.897 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 13.897 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 13.897 * [backup-simplify]: Simplify (- 0) into 0 13.897 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 13.897 * [taylor]: Taking taylor expansion of (pow J 2) in J 13.897 * [taylor]: Taking taylor expansion of J in J 13.897 * [backup-simplify]: Simplify 0 into 0 13.897 * [backup-simplify]: Simplify 1 into 1 13.897 * [backup-simplify]: Simplify (* U U) into (pow U 2) 13.897 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 13.898 * [backup-simplify]: Simplify (* 1 1) into 1 13.898 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 13.898 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 13.898 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 13.898 * [taylor]: Taking taylor expansion of 1/4 in U 13.898 * [backup-simplify]: Simplify 1/4 into 1/4 13.898 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 13.898 * [taylor]: Taking taylor expansion of (pow U 2) in U 13.898 * [taylor]: Taking taylor expansion of U in U 13.898 * [backup-simplify]: Simplify 0 into 0 13.898 * [backup-simplify]: Simplify 1 into 1 13.898 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 13.898 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 13.898 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 13.898 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 13.898 * [taylor]: Taking taylor expansion of 1/2 in U 13.898 * [backup-simplify]: Simplify 1/2 into 1/2 13.899 * [taylor]: Taking taylor expansion of K in U 13.899 * [backup-simplify]: Simplify K into K 13.899 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 13.899 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 13.899 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 13.899 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 13.899 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 13.899 * [backup-simplify]: Simplify (- 0) into 0 13.899 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 13.899 * [taylor]: Taking taylor expansion of (pow J 2) in U 13.899 * [taylor]: Taking taylor expansion of J in U 13.899 * [backup-simplify]: Simplify J into J 13.900 * [backup-simplify]: Simplify (* 1 1) into 1 13.900 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 13.900 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.900 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 13.900 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 13.900 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 13.900 * [taylor]: Taking taylor expansion of 1/4 in U 13.900 * [backup-simplify]: Simplify 1/4 into 1/4 13.900 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 13.900 * [taylor]: Taking taylor expansion of (pow U 2) in U 13.900 * [taylor]: Taking taylor expansion of U in U 13.901 * [backup-simplify]: Simplify 0 into 0 13.901 * [backup-simplify]: Simplify 1 into 1 13.901 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 13.901 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 13.901 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 13.901 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 13.901 * [taylor]: Taking taylor expansion of 1/2 in U 13.901 * [backup-simplify]: Simplify 1/2 into 1/2 13.901 * [taylor]: Taking taylor expansion of K in U 13.901 * [backup-simplify]: Simplify K into K 13.901 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 13.901 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 13.901 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 13.901 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 13.901 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 13.901 * [backup-simplify]: Simplify (- 0) into 0 13.902 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 13.902 * [taylor]: Taking taylor expansion of (pow J 2) in U 13.902 * [taylor]: Taking taylor expansion of J in U 13.902 * [backup-simplify]: Simplify J into J 13.902 * [backup-simplify]: Simplify (* 1 1) into 1 13.902 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 13.902 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.902 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 13.903 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 13.903 * [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))) 13.903 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 13.903 * [taylor]: Taking taylor expansion of 1/4 in J 13.903 * [backup-simplify]: Simplify 1/4 into 1/4 13.903 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 13.903 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 13.903 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 13.903 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 13.903 * [taylor]: Taking taylor expansion of 1/2 in J 13.903 * [backup-simplify]: Simplify 1/2 into 1/2 13.903 * [taylor]: Taking taylor expansion of K in J 13.903 * [backup-simplify]: Simplify K into K 13.903 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 13.903 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 13.903 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 13.903 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 13.903 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 13.904 * [backup-simplify]: Simplify (- 0) into 0 13.904 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 13.904 * [taylor]: Taking taylor expansion of (pow J 2) in J 13.904 * [taylor]: Taking taylor expansion of J in J 13.904 * [backup-simplify]: Simplify 0 into 0 13.904 * [backup-simplify]: Simplify 1 into 1 13.904 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 13.905 * [backup-simplify]: Simplify (* 1 1) into 1 13.905 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 13.905 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (* 1/2 K)) 2)) into (/ 1/4 (pow (cos (* 1/2 K)) 2)) 13.905 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (* 1/2 K)) 2)) in K 13.905 * [taylor]: Taking taylor expansion of 1/4 in K 13.905 * [backup-simplify]: Simplify 1/4 into 1/4 13.905 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 13.905 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 13.905 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 13.905 * [taylor]: Taking taylor expansion of 1/2 in K 13.905 * [backup-simplify]: Simplify 1/2 into 1/2 13.905 * [taylor]: Taking taylor expansion of K in K 13.905 * [backup-simplify]: Simplify 0 into 0 13.905 * [backup-simplify]: Simplify 1 into 1 13.906 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.906 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 13.907 * [backup-simplify]: Simplify (* 1 1) into 1 13.907 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 13.907 * [backup-simplify]: Simplify 1/4 into 1/4 13.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.908 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 13.908 * [backup-simplify]: Simplify (+ 0) into 0 13.909 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 13.909 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 13.910 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.910 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 13.911 * [backup-simplify]: Simplify (- 0) into 0 13.911 * [backup-simplify]: Simplify (+ 0 0) into 0 13.911 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 13.911 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 13.912 * [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 13.913 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 13.913 * [taylor]: Taking taylor expansion of 0 in J 13.913 * [backup-simplify]: Simplify 0 into 0 13.913 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.914 * [backup-simplify]: Simplify (+ 0) into 0 13.914 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 13.915 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 13.915 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.916 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 13.916 * [backup-simplify]: Simplify (- 0) into 0 13.916 * [backup-simplify]: Simplify (+ 0 0) into 0 13.917 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 13.917 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 13.917 * [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 13.917 * [taylor]: Taking taylor expansion of 0 in K 13.917 * [backup-simplify]: Simplify 0 into 0 13.917 * [backup-simplify]: Simplify 0 into 0 13.918 * [backup-simplify]: Simplify (+ 0) into 0 13.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 13.918 * [backup-simplify]: Simplify 0 into 0 13.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.919 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 13.920 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.920 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.921 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 13.921 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.922 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.922 * [backup-simplify]: Simplify (- 0) into 0 13.922 * [backup-simplify]: Simplify (+ 0 0) into 0 13.923 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 13.923 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0 13.923 * [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 13.924 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 13.924 * [taylor]: Taking taylor expansion of 0 in J 13.924 * [backup-simplify]: Simplify 0 into 0 13.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.925 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.926 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.926 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 13.927 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.927 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.927 * [backup-simplify]: Simplify (- 0) into 0 13.927 * [backup-simplify]: Simplify (+ 0 0) into 0 13.928 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 13.928 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 13.928 * [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 13.928 * [taylor]: Taking taylor expansion of 0 in K 13.929 * [backup-simplify]: Simplify 0 into 0 13.929 * [backup-simplify]: Simplify 0 into 0 13.929 * [backup-simplify]: Simplify 0 into 0 13.929 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 13.930 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4 13.930 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ -1/4 1)) (* 0 (/ 0 1)))) into 1/16 13.930 * [backup-simplify]: Simplify 1/16 into 1/16 13.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.932 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 13.932 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 13.933 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.934 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 13.935 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 13.936 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 13.936 * [backup-simplify]: Simplify (- 0) into 0 13.937 * [backup-simplify]: Simplify (+ 0 0) into 0 13.937 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 13.938 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0 13.939 * [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 13.940 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) into 0 13.940 * [taylor]: Taking taylor expansion of 0 in J 13.940 * [backup-simplify]: Simplify 0 into 0 13.940 * [taylor]: Taking taylor expansion of 0 in K 13.941 * [backup-simplify]: Simplify 0 into 0 13.941 * [backup-simplify]: Simplify 0 into 0 13.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.942 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 13.943 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.944 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 13.946 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 13.947 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 13.947 * [backup-simplify]: Simplify (- 0) into 0 13.947 * [backup-simplify]: Simplify (+ 0 0) into 0 13.948 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 13.949 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.950 * [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 13.950 * [taylor]: Taking taylor expansion of 0 in K 13.950 * [backup-simplify]: Simplify 0 into 0 13.950 * [backup-simplify]: Simplify 0 into 0 13.950 * [backup-simplify]: Simplify 0 into 0 13.950 * [backup-simplify]: Simplify 0 into 0 13.951 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 13.952 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 13.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0 13.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ -1/4 1)) (* 1/16 (/ 0 1)))) into 0 13.955 * [backup-simplify]: Simplify 0 into 0 13.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.957 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 13.958 * [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 13.959 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.960 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 13.961 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 13.961 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 13.962 * [backup-simplify]: Simplify (- 0) into 0 13.962 * [backup-simplify]: Simplify (+ 0 0) into 0 13.963 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0 13.963 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2)))))) into 0 13.964 * [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 13.965 * [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 13.965 * [taylor]: Taking taylor expansion of 0 in J 13.965 * [backup-simplify]: Simplify 0 into 0 13.965 * [taylor]: Taking taylor expansion of 0 in K 13.965 * [backup-simplify]: Simplify 0 into 0 13.965 * [backup-simplify]: Simplify 0 into 0 13.966 * [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)))) 13.966 * [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)))) 13.966 * [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 13.966 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 13.966 * [taylor]: Taking taylor expansion of 1/4 in K 13.966 * [backup-simplify]: Simplify 1/4 into 1/4 13.966 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 13.966 * [taylor]: Taking taylor expansion of (pow J 2) in K 13.966 * [taylor]: Taking taylor expansion of J in K 13.966 * [backup-simplify]: Simplify J into J 13.966 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 13.966 * [taylor]: Taking taylor expansion of (pow U 2) in K 13.966 * [taylor]: Taking taylor expansion of U in K 13.966 * [backup-simplify]: Simplify U into U 13.966 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 13.966 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 13.966 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 13.966 * [taylor]: Taking taylor expansion of 1/2 in K 13.966 * [backup-simplify]: Simplify 1/2 into 1/2 13.966 * [taylor]: Taking taylor expansion of K in K 13.966 * [backup-simplify]: Simplify 0 into 0 13.966 * [backup-simplify]: Simplify 1 into 1 13.967 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.967 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.967 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.967 * [backup-simplify]: Simplify (* U U) into (pow U 2) 13.967 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 13.967 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 13.967 * [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))) 13.967 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 13.967 * [taylor]: Taking taylor expansion of 1/4 in J 13.967 * [backup-simplify]: Simplify 1/4 into 1/4 13.967 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 13.967 * [taylor]: Taking taylor expansion of (pow J 2) in J 13.967 * [taylor]: Taking taylor expansion of J in J 13.967 * [backup-simplify]: Simplify 0 into 0 13.967 * [backup-simplify]: Simplify 1 into 1 13.967 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 13.967 * [taylor]: Taking taylor expansion of (pow U 2) in J 13.967 * [taylor]: Taking taylor expansion of U in J 13.967 * [backup-simplify]: Simplify U into U 13.967 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 13.967 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 13.967 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 13.967 * [taylor]: Taking taylor expansion of 1/2 in J 13.967 * [backup-simplify]: Simplify 1/2 into 1/2 13.967 * [taylor]: Taking taylor expansion of K in J 13.967 * [backup-simplify]: Simplify K into K 13.967 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.967 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.967 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 13.967 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.968 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 13.968 * [backup-simplify]: Simplify (- 0) into 0 13.968 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 13.968 * [backup-simplify]: Simplify (* 1 1) into 1 13.968 * [backup-simplify]: Simplify (* U U) into (pow U 2) 13.968 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 13.968 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 13.968 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 13.968 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 13.968 * [taylor]: Taking taylor expansion of 1/4 in U 13.969 * [backup-simplify]: Simplify 1/4 into 1/4 13.969 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 13.969 * [taylor]: Taking taylor expansion of (pow J 2) in U 13.969 * [taylor]: Taking taylor expansion of J in U 13.969 * [backup-simplify]: Simplify J into J 13.969 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 13.969 * [taylor]: Taking taylor expansion of (pow U 2) in U 13.969 * [taylor]: Taking taylor expansion of U in U 13.969 * [backup-simplify]: Simplify 0 into 0 13.969 * [backup-simplify]: Simplify 1 into 1 13.969 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 13.969 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 13.969 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 13.969 * [taylor]: Taking taylor expansion of 1/2 in U 13.969 * [backup-simplify]: Simplify 1/2 into 1/2 13.969 * [taylor]: Taking taylor expansion of K in U 13.969 * [backup-simplify]: Simplify K into K 13.969 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.969 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.969 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 13.969 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.969 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 13.969 * [backup-simplify]: Simplify (- 0) into 0 13.969 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 13.969 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.970 * [backup-simplify]: Simplify (* 1 1) into 1 13.970 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 13.970 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 13.970 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 13.970 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 13.970 * [taylor]: Taking taylor expansion of 1/4 in U 13.970 * [backup-simplify]: Simplify 1/4 into 1/4 13.970 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 13.970 * [taylor]: Taking taylor expansion of (pow J 2) in U 13.970 * [taylor]: Taking taylor expansion of J in U 13.970 * [backup-simplify]: Simplify J into J 13.970 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 13.970 * [taylor]: Taking taylor expansion of (pow U 2) in U 13.970 * [taylor]: Taking taylor expansion of U in U 13.970 * [backup-simplify]: Simplify 0 into 0 13.970 * [backup-simplify]: Simplify 1 into 1 13.970 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 13.970 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 13.970 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 13.970 * [taylor]: Taking taylor expansion of 1/2 in U 13.970 * [backup-simplify]: Simplify 1/2 into 1/2 13.970 * [taylor]: Taking taylor expansion of K in U 13.970 * [backup-simplify]: Simplify K into K 13.970 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.970 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.970 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 13.970 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.970 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 13.971 * [backup-simplify]: Simplify (- 0) into 0 13.971 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 13.971 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.971 * [backup-simplify]: Simplify (* 1 1) into 1 13.971 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 13.971 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 13.971 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 13.971 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 13.971 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 13.972 * [taylor]: Taking taylor expansion of 1/4 in J 13.972 * [backup-simplify]: Simplify 1/4 into 1/4 13.972 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 13.972 * [taylor]: Taking taylor expansion of (pow J 2) in J 13.972 * [taylor]: Taking taylor expansion of J in J 13.972 * [backup-simplify]: Simplify 0 into 0 13.972 * [backup-simplify]: Simplify 1 into 1 13.972 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 13.972 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 13.972 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 13.972 * [taylor]: Taking taylor expansion of 1/2 in J 13.972 * [backup-simplify]: Simplify 1/2 into 1/2 13.972 * [taylor]: Taking taylor expansion of K in J 13.972 * [backup-simplify]: Simplify K into K 13.972 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.972 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.972 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 13.972 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.972 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 13.972 * [backup-simplify]: Simplify (- 0) into 0 13.972 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 13.973 * [backup-simplify]: Simplify (* 1 1) into 1 13.973 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 13.973 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 13.973 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 13.973 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K 13.973 * [taylor]: Taking taylor expansion of 1/4 in K 13.973 * [backup-simplify]: Simplify 1/4 into 1/4 13.973 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 13.973 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 13.973 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 13.973 * [taylor]: Taking taylor expansion of 1/2 in K 13.973 * [backup-simplify]: Simplify 1/2 into 1/2 13.973 * [taylor]: Taking taylor expansion of K in K 13.973 * [backup-simplify]: Simplify 0 into 0 13.973 * [backup-simplify]: Simplify 1 into 1 13.973 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.973 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.973 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 13.973 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 13.974 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 13.974 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 13.974 * [backup-simplify]: Simplify (+ 0) into 0 13.974 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 13.974 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 13.975 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.975 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 13.975 * [backup-simplify]: Simplify (- 0) into 0 13.976 * [backup-simplify]: Simplify (+ 0 0) into 0 13.976 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 13.976 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.976 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 13.977 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 13.977 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 13.977 * [taylor]: Taking taylor expansion of 0 in J 13.977 * [backup-simplify]: Simplify 0 into 0 13.977 * [taylor]: Taking taylor expansion of 0 in K 13.977 * [backup-simplify]: Simplify 0 into 0 13.977 * [backup-simplify]: Simplify 0 into 0 13.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.978 * [backup-simplify]: Simplify (+ 0) into 0 13.982 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 13.983 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 13.983 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.984 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 13.984 * [backup-simplify]: Simplify (- 0) into 0 13.984 * [backup-simplify]: Simplify (+ 0 0) into 0 13.984 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 13.985 * [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 13.985 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 13.985 * [taylor]: Taking taylor expansion of 0 in K 13.985 * [backup-simplify]: Simplify 0 into 0 13.985 * [backup-simplify]: Simplify 0 into 0 13.985 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 13.985 * [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 13.985 * [backup-simplify]: Simplify 0 into 0 13.986 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 13.986 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.987 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.987 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.987 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.988 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.988 * [backup-simplify]: Simplify (- 0) into 0 13.988 * [backup-simplify]: Simplify (+ 0 0) into 0 13.988 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 13.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 13.990 * [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 13.990 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 13.990 * [taylor]: Taking taylor expansion of 0 in J 13.990 * [backup-simplify]: Simplify 0 into 0 13.990 * [taylor]: Taking taylor expansion of 0 in K 13.990 * [backup-simplify]: Simplify 0 into 0 13.991 * [backup-simplify]: Simplify 0 into 0 13.991 * [taylor]: Taking taylor expansion of 0 in K 13.991 * [backup-simplify]: Simplify 0 into 0 13.991 * [backup-simplify]: Simplify 0 into 0 13.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.992 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.992 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.992 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.993 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.993 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.993 * [backup-simplify]: Simplify (- 0) into 0 13.994 * [backup-simplify]: Simplify (+ 0 0) into 0 13.994 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 13.994 * [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 13.995 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 13.995 * [taylor]: Taking taylor expansion of 0 in K 13.995 * [backup-simplify]: Simplify 0 into 0 13.995 * [backup-simplify]: Simplify 0 into 0 13.995 * [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)))) 13.995 * [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)))) 13.995 * [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 13.995 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 13.995 * [taylor]: Taking taylor expansion of 1/4 in K 13.995 * [backup-simplify]: Simplify 1/4 into 1/4 13.995 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 13.995 * [taylor]: Taking taylor expansion of (pow J 2) in K 13.995 * [taylor]: Taking taylor expansion of J in K 13.995 * [backup-simplify]: Simplify J into J 13.995 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 13.995 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 13.995 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 13.995 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 13.996 * [taylor]: Taking taylor expansion of -1/2 in K 13.996 * [backup-simplify]: Simplify -1/2 into -1/2 13.996 * [taylor]: Taking taylor expansion of K in K 13.996 * [backup-simplify]: Simplify 0 into 0 13.996 * [backup-simplify]: Simplify 1 into 1 13.996 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 13.996 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.996 * [taylor]: Taking taylor expansion of (pow U 2) in K 13.996 * [taylor]: Taking taylor expansion of U in K 13.996 * [backup-simplify]: Simplify U into U 13.996 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.996 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 13.996 * [backup-simplify]: Simplify (* U U) into (pow U 2) 13.996 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 13.997 * [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))) 13.997 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 13.997 * [taylor]: Taking taylor expansion of 1/4 in J 13.997 * [backup-simplify]: Simplify 1/4 into 1/4 13.997 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 13.997 * [taylor]: Taking taylor expansion of (pow J 2) in J 13.997 * [taylor]: Taking taylor expansion of J in J 13.997 * [backup-simplify]: Simplify 0 into 0 13.997 * [backup-simplify]: Simplify 1 into 1 13.997 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 13.997 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 13.997 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 13.997 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 13.997 * [taylor]: Taking taylor expansion of -1/2 in J 13.997 * [backup-simplify]: Simplify -1/2 into -1/2 13.997 * [taylor]: Taking taylor expansion of K in J 13.997 * [backup-simplify]: Simplify K into K 13.997 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 13.997 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.997 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 13.997 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.997 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 13.998 * [backup-simplify]: Simplify (- 0) into 0 13.998 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 13.998 * [taylor]: Taking taylor expansion of (pow U 2) in J 13.998 * [taylor]: Taking taylor expansion of U in J 13.998 * [backup-simplify]: Simplify U into U 13.998 * [backup-simplify]: Simplify (* 1 1) into 1 13.998 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 13.998 * [backup-simplify]: Simplify (* U U) into (pow U 2) 13.999 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 13.999 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 13.999 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 13.999 * [taylor]: Taking taylor expansion of 1/4 in U 13.999 * [backup-simplify]: Simplify 1/4 into 1/4 13.999 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 13.999 * [taylor]: Taking taylor expansion of (pow J 2) in U 13.999 * [taylor]: Taking taylor expansion of J in U 13.999 * [backup-simplify]: Simplify J into J 13.999 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 13.999 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 13.999 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 13.999 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 13.999 * [taylor]: Taking taylor expansion of -1/2 in U 13.999 * [backup-simplify]: Simplify -1/2 into -1/2 13.999 * [taylor]: Taking taylor expansion of K in U 13.999 * [backup-simplify]: Simplify K into K 13.999 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 13.999 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.999 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 13.999 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 14.000 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 14.000 * [backup-simplify]: Simplify (- 0) into 0 14.000 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 14.000 * [taylor]: Taking taylor expansion of (pow U 2) in U 14.000 * [taylor]: Taking taylor expansion of U in U 14.000 * [backup-simplify]: Simplify 0 into 0 14.000 * [backup-simplify]: Simplify 1 into 1 14.000 * [backup-simplify]: Simplify (* J J) into (pow J 2) 14.000 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 14.001 * [backup-simplify]: Simplify (* 1 1) into 1 14.001 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 14.001 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 14.001 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 14.001 * [taylor]: Taking taylor expansion of 1/4 in U 14.001 * [backup-simplify]: Simplify 1/4 into 1/4 14.001 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 14.001 * [taylor]: Taking taylor expansion of (pow J 2) in U 14.001 * [taylor]: Taking taylor expansion of J in U 14.001 * [backup-simplify]: Simplify J into J 14.001 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 14.001 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 14.001 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 14.001 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 14.001 * [taylor]: Taking taylor expansion of -1/2 in U 14.001 * [backup-simplify]: Simplify -1/2 into -1/2 14.001 * [taylor]: Taking taylor expansion of K in U 14.001 * [backup-simplify]: Simplify K into K 14.001 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 14.001 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.002 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 14.002 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 14.002 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 14.002 * [backup-simplify]: Simplify (- 0) into 0 14.002 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 14.002 * [taylor]: Taking taylor expansion of (pow U 2) in U 14.002 * [taylor]: Taking taylor expansion of U in U 14.002 * [backup-simplify]: Simplify 0 into 0 14.002 * [backup-simplify]: Simplify 1 into 1 14.002 * [backup-simplify]: Simplify (* J J) into (pow J 2) 14.002 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 14.003 * [backup-simplify]: Simplify (* 1 1) into 1 14.003 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 14.003 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 14.003 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 14.003 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 14.004 * [taylor]: Taking taylor expansion of 1/4 in J 14.004 * [backup-simplify]: Simplify 1/4 into 1/4 14.004 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 14.004 * [taylor]: Taking taylor expansion of (pow J 2) in J 14.004 * [taylor]: Taking taylor expansion of J in J 14.004 * [backup-simplify]: Simplify 0 into 0 14.004 * [backup-simplify]: Simplify 1 into 1 14.004 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 14.004 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 14.004 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 14.004 * [taylor]: Taking taylor expansion of -1/2 in J 14.004 * [backup-simplify]: Simplify -1/2 into -1/2 14.004 * [taylor]: Taking taylor expansion of K in J 14.004 * [backup-simplify]: Simplify K into K 14.004 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 14.004 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.004 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 14.004 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 14.004 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 14.005 * [backup-simplify]: Simplify (- 0) into 0 14.005 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 14.005 * [backup-simplify]: Simplify (* 1 1) into 1 14.006 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 14.006 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 14.006 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 14.006 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K 14.006 * [taylor]: Taking taylor expansion of 1/4 in K 14.006 * [backup-simplify]: Simplify 1/4 into 1/4 14.006 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 14.006 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 14.006 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 14.006 * [taylor]: Taking taylor expansion of -1/2 in K 14.006 * [backup-simplify]: Simplify -1/2 into -1/2 14.006 * [taylor]: Taking taylor expansion of K in K 14.006 * [backup-simplify]: Simplify 0 into 0 14.006 * [backup-simplify]: Simplify 1 into 1 14.007 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 14.007 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.007 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 14.007 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 14.007 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 14.007 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 14.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.008 * [backup-simplify]: Simplify (+ 0) into 0 14.009 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 14.009 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 14.010 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.010 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 14.010 * [backup-simplify]: Simplify (- 0) into 0 14.011 * [backup-simplify]: Simplify (+ 0 0) into 0 14.011 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 14.012 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 14.012 * [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))))) into 0 14.012 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 14.013 * [taylor]: Taking taylor expansion of 0 in J 14.013 * [backup-simplify]: Simplify 0 into 0 14.013 * [taylor]: Taking taylor expansion of 0 in K 14.013 * [backup-simplify]: Simplify 0 into 0 14.013 * [backup-simplify]: Simplify 0 into 0 14.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.014 * [backup-simplify]: Simplify (+ 0) into 0 14.014 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 14.014 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 14.015 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.016 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 14.016 * [backup-simplify]: Simplify (- 0) into 0 14.016 * [backup-simplify]: Simplify (+ 0 0) into 0 14.016 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 14.017 * [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 14.017 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 14.017 * [taylor]: Taking taylor expansion of 0 in K 14.017 * [backup-simplify]: Simplify 0 into 0 14.017 * [backup-simplify]: Simplify 0 into 0 14.018 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 14.018 * [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 14.018 * [backup-simplify]: Simplify 0 into 0 14.018 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 14.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.020 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.021 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.021 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.022 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.023 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.023 * [backup-simplify]: Simplify (- 0) into 0 14.023 * [backup-simplify]: Simplify (+ 0 0) into 0 14.024 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 14.025 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 14.025 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 14.026 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 14.026 * [taylor]: Taking taylor expansion of 0 in J 14.026 * [backup-simplify]: Simplify 0 into 0 14.026 * [taylor]: Taking taylor expansion of 0 in K 14.026 * [backup-simplify]: Simplify 0 into 0 14.026 * [backup-simplify]: Simplify 0 into 0 14.026 * [taylor]: Taking taylor expansion of 0 in K 14.026 * [backup-simplify]: Simplify 0 into 0 14.026 * [backup-simplify]: Simplify 0 into 0 14.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.028 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.029 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 14.029 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 14.030 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.030 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 14.031 * [backup-simplify]: Simplify (- 0) into 0 14.031 * [backup-simplify]: Simplify (+ 0 0) into 0 14.031 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 14.032 * [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 14.033 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 14.033 * [taylor]: Taking taylor expansion of 0 in K 14.033 * [backup-simplify]: Simplify 0 into 0 14.033 * [backup-simplify]: Simplify 0 into 0 14.033 * [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)))) 14.033 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 14.033 * [backup-simplify]: Simplify (cbrt (cos (/ K 2))) into (pow (cos (* 1/2 K)) 1/3) 14.033 * [approximate]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in (K) around 0 14.033 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 14.034 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 14.034 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 14.034 * [taylor]: Taking taylor expansion of 1/3 in K 14.034 * [backup-simplify]: Simplify 1/3 into 1/3 14.034 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 14.034 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 14.034 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 14.034 * [taylor]: Taking taylor expansion of 1/2 in K 14.034 * [backup-simplify]: Simplify 1/2 into 1/2 14.034 * [taylor]: Taking taylor expansion of K in K 14.034 * [backup-simplify]: Simplify 0 into 0 14.034 * [backup-simplify]: Simplify 1 into 1 14.034 * [backup-simplify]: Simplify (* 1/2 0) into 0 14.035 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 14.035 * [backup-simplify]: Simplify (log 1) into 0 14.036 * [backup-simplify]: Simplify (* 1/3 0) into 0 14.036 * [backup-simplify]: Simplify (+ 0) into 0 14.037 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 14.038 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 14.039 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 14.042 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 14.042 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 14.043 * [backup-simplify]: Simplify (exp 0) into 1 14.043 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K 14.043 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K 14.043 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K 14.043 * [taylor]: Taking taylor expansion of 1/3 in K 14.043 * [backup-simplify]: Simplify 1/3 into 1/3 14.043 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K 14.043 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 14.043 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 14.043 * [taylor]: Taking taylor expansion of 1/2 in K 14.043 * [backup-simplify]: Simplify 1/2 into 1/2 14.043 * [taylor]: Taking taylor expansion of K in K 14.043 * [backup-simplify]: Simplify 0 into 0 14.043 * [backup-simplify]: Simplify 1 into 1 14.043 * [backup-simplify]: Simplify (* 1/2 0) into 0 14.044 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 14.044 * [backup-simplify]: Simplify (log 1) into 0 14.045 * [backup-simplify]: Simplify (* 1/3 0) into 0 14.045 * [backup-simplify]: Simplify (+ 0) into 0 14.047 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 14.047 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 14.048 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 14.051 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8 14.052 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 14.052 * [backup-simplify]: Simplify (exp 0) into 1 14.052 * [backup-simplify]: Simplify 1 into 1 14.053 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 14.053 * [backup-simplify]: Simplify 0 into 0 14.054 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/24 1) 1)))) into -1/24 14.054 * [backup-simplify]: Simplify -1/24 into -1/24 14.055 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 14.056 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 14.059 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 14.059 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0)))) into 0 14.061 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1)))) into 0 14.061 * [backup-simplify]: Simplify 0 into 0 14.062 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 14.063 * [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 14.072 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/8) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/8) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/384) 1)) (pow 1 1)))) 24) into -1/192 14.073 * [backup-simplify]: Simplify (+ (* 1/3 -1/192) (+ (* 0 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0))))) into -1/576 14.079 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/24 2) 2)) (* (/ (pow -1/576 1) 1)))) into -1/1152 14.079 * [backup-simplify]: Simplify -1/1152 into -1/1152 14.079 * [backup-simplify]: Simplify (+ (* -1/1152 (pow K 4)) (+ (* -1/24 (pow K 2)) 1)) into (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))) 14.079 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 K) 2))) into (pow (cos (/ 1/2 K)) 1/3) 14.079 * [approximate]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in (K) around 0 14.080 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 14.080 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 14.080 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 14.080 * [taylor]: Taking taylor expansion of 1/3 in K 14.080 * [backup-simplify]: Simplify 1/3 into 1/3 14.080 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 14.080 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 14.080 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 14.080 * [taylor]: Taking taylor expansion of 1/2 in K 14.080 * [backup-simplify]: Simplify 1/2 into 1/2 14.080 * [taylor]: Taking taylor expansion of K in K 14.080 * [backup-simplify]: Simplify 0 into 0 14.080 * [backup-simplify]: Simplify 1 into 1 14.080 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.080 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.081 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 14.081 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 14.081 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 14.081 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K 14.081 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K 14.081 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K 14.081 * [taylor]: Taking taylor expansion of 1/3 in K 14.081 * [backup-simplify]: Simplify 1/3 into 1/3 14.081 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K 14.081 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 14.081 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 14.081 * [taylor]: Taking taylor expansion of 1/2 in K 14.081 * [backup-simplify]: Simplify 1/2 into 1/2 14.081 * [taylor]: Taking taylor expansion of K in K 14.081 * [backup-simplify]: Simplify 0 into 0 14.081 * [backup-simplify]: Simplify 1 into 1 14.082 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.082 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 14.082 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) 14.082 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) 14.082 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) 14.082 * [backup-simplify]: Simplify (pow (cos (/ 1/2 K)) 1/3) into (pow (cos (/ 1/2 K)) 1/3) 14.083 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 14.083 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0 14.084 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 14.084 * [backup-simplify]: Simplify 0 into 0 14.086 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0 14.087 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0 14.088 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.088 * [backup-simplify]: Simplify 0 into 0 14.091 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0 14.092 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0 14.094 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 14.094 * [backup-simplify]: Simplify 0 into 0 14.099 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 24) into 0 14.100 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))) into 0 14.103 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.103 * [backup-simplify]: Simplify 0 into 0 14.115 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 120) into 0 14.117 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))))) into 0 14.119 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 14.119 * [backup-simplify]: Simplify 0 into 0 14.126 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 720) into 0 14.128 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))))) into 0 14.131 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.131 * [backup-simplify]: Simplify 0 into 0 14.131 * [backup-simplify]: Simplify (pow (cos (/ 1/2 (/ 1 K))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 14.131 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 (- K)) 2))) into (pow (cos (/ -1/2 K)) 1/3) 14.131 * [approximate]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in (K) around 0 14.131 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 14.131 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 14.131 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 14.131 * [taylor]: Taking taylor expansion of 1/3 in K 14.131 * [backup-simplify]: Simplify 1/3 into 1/3 14.131 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 14.131 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 14.131 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 14.131 * [taylor]: Taking taylor expansion of -1/2 in K 14.131 * [backup-simplify]: Simplify -1/2 into -1/2 14.131 * [taylor]: Taking taylor expansion of K in K 14.131 * [backup-simplify]: Simplify 0 into 0 14.131 * [backup-simplify]: Simplify 1 into 1 14.132 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 14.132 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.132 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 14.132 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 14.132 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 14.132 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K 14.132 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K 14.132 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K 14.132 * [taylor]: Taking taylor expansion of 1/3 in K 14.132 * [backup-simplify]: Simplify 1/3 into 1/3 14.132 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K 14.132 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 14.132 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 14.132 * [taylor]: Taking taylor expansion of -1/2 in K 14.132 * [backup-simplify]: Simplify -1/2 into -1/2 14.132 * [taylor]: Taking taylor expansion of K in K 14.132 * [backup-simplify]: Simplify 0 into 0 14.132 * [backup-simplify]: Simplify 1 into 1 14.132 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 14.132 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 14.133 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) 14.133 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) 14.133 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) 14.133 * [backup-simplify]: Simplify (pow (cos (/ -1/2 K)) 1/3) into (pow (cos (/ -1/2 K)) 1/3) 14.133 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 14.134 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0 14.134 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 14.134 * [backup-simplify]: Simplify 0 into 0 14.135 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0 14.136 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0 14.137 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.137 * [backup-simplify]: Simplify 0 into 0 14.138 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0 14.139 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0 14.140 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 14.140 * [backup-simplify]: Simplify 0 into 0 14.143 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 24) into 0 14.144 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))) into 0 14.145 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.145 * [backup-simplify]: Simplify 0 into 0 14.152 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 120) into 0 14.154 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))))) into 0 14.157 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 14.158 * [backup-simplify]: Simplify 0 into 0 14.169 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 720) into 0 14.171 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))))) into 0 14.177 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.177 * [backup-simplify]: Simplify 0 into 0 14.177 * [backup-simplify]: Simplify (pow (cos (/ -1/2 (/ 1 (- K)))) 1/3) into (pow (cos (* 1/2 K)) 1/3) 14.177 * * * [progress]: simplifying candidates 14.177 * * * * [progress]: [ 1 / 142 ] simplifiying candidate # 14.178 * * * * [progress]: [ 2 / 142 ] simplifiying candidate # 14.178 * * * * [progress]: [ 3 / 142 ] simplifiying candidate # 14.178 * * * * [progress]: [ 4 / 142 ] simplifiying candidate # 14.178 * * * * [progress]: [ 5 / 142 ] simplifiying candidate # 14.178 * * * * [progress]: [ 6 / 142 ] simplifiying candidate # 14.178 * * * * [progress]: [ 7 / 142 ] simplifiying candidate # 14.178 * * * * [progress]: [ 8 / 142 ] simplifiying candidate # 14.178 * * * * [progress]: [ 9 / 142 ] simplifiying candidate # 14.178 * * * * [progress]: [ 10 / 142 ] simplifiying candidate # 14.178 * * * * [progress]: [ 11 / 142 ] simplifiying candidate # 14.178 * * * * [progress]: [ 12 / 142 ] simplifiying candidate # 14.178 * * * * [progress]: [ 13 / 142 ] simplifiying candidate # 14.179 * * * * [progress]: [ 14 / 142 ] simplifiying candidate # 14.179 * * * * [progress]: [ 15 / 142 ] simplifiying candidate # 14.179 * * * * [progress]: [ 16 / 142 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J)))))> 14.179 * * * * [progress]: [ 17 / 142 ] simplifiying candidate # 14.179 * * * * [progress]: [ 18 / 142 ] simplifiying candidate # 14.179 * * * * [progress]: [ 19 / 142 ] simplifiying candidate # 14.179 * * * * [progress]: [ 20 / 142 ] simplifiying candidate # 14.179 * * * * [progress]: [ 21 / 142 ] simplifiying candidate # 14.179 * * * * [progress]: [ 22 / 142 ] simplifiying candidate # 14.179 * * * * [progress]: [ 23 / 142 ] simplifiying candidate # 14.179 * * * * [progress]: [ 24 / 142 ] simplifiying candidate # 14.179 * * * * [progress]: [ 25 / 142 ] simplifiying candidate # 14.179 * * * * [progress]: [ 26 / 142 ] simplifiying candidate # 14.180 * * * * [progress]: [ 27 / 142 ] simplifiying candidate # 14.180 * * * * [progress]: [ 28 / 142 ] simplifiying candidate # 14.180 * * * * [progress]: [ 29 / 142 ] simplifiying candidate # 14.180 * * * * [progress]: [ 30 / 142 ] simplifiying candidate # 14.180 * * * * [progress]: [ 31 / 142 ] simplifiying candidate # 14.180 * * * * [progress]: [ 32 / 142 ] simplifiying candidate # 14.180 * * * * [progress]: [ 33 / 142 ] simplifiying candidate # 14.180 * * * * [progress]: [ 34 / 142 ] simplifiying candidate # 14.180 * * * * [progress]: [ 35 / 142 ] simplifiying candidate # 14.180 * * * * [progress]: [ 36 / 142 ] simplifiying candidate # 14.180 * * * * [progress]: [ 37 / 142 ] simplifiying candidate # 14.180 * * * * [progress]: [ 38 / 142 ] simplifiying candidate # 14.180 * * * * [progress]: [ 39 / 142 ] simplifiying candidate # 14.181 * * * * [progress]: [ 40 / 142 ] simplifiying candidate # 14.181 * * * * [progress]: [ 41 / 142 ] simplifiying candidate # 14.181 * * * * [progress]: [ 42 / 142 ] simplifiying candidate # 14.181 * * * * [progress]: [ 43 / 142 ] simplifiying candidate # 14.181 * * * * [progress]: [ 44 / 142 ] simplifiying candidate # 14.181 * * * * [progress]: [ 45 / 142 ] simplifiying candidate # 14.181 * * * * [progress]: [ 46 / 142 ] simplifiying candidate # 14.181 * * * * [progress]: [ 47 / 142 ] simplifiying candidate # 14.181 * * * * [progress]: [ 48 / 142 ] simplifiying candidate # 14.181 * * * * [progress]: [ 49 / 142 ] simplifiying candidate # 14.181 * * * * [progress]: [ 50 / 142 ] simplifiying candidate # 14.181 * * * * [progress]: [ 51 / 142 ] simplifiying candidate # 14.182 * * * * [progress]: [ 52 / 142 ] simplifiying candidate # 14.182 * * * * [progress]: [ 53 / 142 ] simplifiying candidate # 14.182 * * * * [progress]: [ 54 / 142 ] simplifiying candidate #real (real->posit16 (* (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -2 J)))))))> 14.182 * * * * [progress]: [ 55 / 142 ] simplifiying candidate # 14.182 * * * * [progress]: [ 56 / 142 ] simplifiying candidate # 14.182 * * * * [progress]: [ 57 / 142 ] simplifiying candidate # 14.182 * * * * [progress]: [ 58 / 142 ] simplifiying candidate # 14.182 * * * * [progress]: [ 59 / 142 ] simplifiying candidate # 14.182 * * * * [progress]: [ 60 / 142 ] simplifiying candidate # 14.182 * * * * [progress]: [ 61 / 142 ] simplifiying candidate # 14.182 * * * * [progress]: [ 62 / 142 ] simplifiying candidate # 14.182 * * * * [progress]: [ 63 / 142 ] simplifiying candidate # 14.182 * * * * [progress]: [ 64 / 142 ] simplifiying candidate # 14.183 * * * * [progress]: [ 65 / 142 ] simplifiying candidate # 14.183 * * * * [progress]: [ 66 / 142 ] simplifiying candidate # 14.183 * * * * [progress]: [ 67 / 142 ] simplifiying candidate # 14.183 * * * * [progress]: [ 68 / 142 ] simplifiying candidate # 14.183 * * * * [progress]: [ 69 / 142 ] simplifiying candidate # 14.183 * * * * [progress]: [ 70 / 142 ] simplifiying candidate # 14.183 * * * * [progress]: [ 71 / 142 ] simplifiying candidate # 14.183 * * * * [progress]: [ 72 / 142 ] simplifiying candidate # 14.183 * * * * [progress]: [ 73 / 142 ] simplifiying candidate # 14.183 * * * * [progress]: [ 74 / 142 ] simplifiying candidate # 14.183 * * * * [progress]: [ 75 / 142 ] simplifiying candidate # 14.183 * * * * [progress]: [ 76 / 142 ] simplifiying candidate # 14.183 * * * * [progress]: [ 77 / 142 ] simplifiying candidate # 14.184 * * * * [progress]: [ 78 / 142 ] simplifiying candidate # 14.184 * * * * [progress]: [ 79 / 142 ] simplifiying candidate # 14.184 * * * * [progress]: [ 80 / 142 ] simplifiying candidate # 14.184 * * * * [progress]: [ 81 / 142 ] simplifiying candidate # 14.184 * * * * [progress]: [ 82 / 142 ] simplifiying candidate # 14.184 * * * * [progress]: [ 83 / 142 ] simplifiying candidate # 14.184 * * * * [progress]: [ 84 / 142 ] simplifiying candidate # 14.184 * * * * [progress]: [ 85 / 142 ] simplifiying candidate # 14.184 * * * * [progress]: [ 86 / 142 ] simplifiying candidate # 14.184 * * * * [progress]: [ 87 / 142 ] simplifiying candidate # 14.184 * * * * [progress]: [ 88 / 142 ] simplifiying candidate # 14.184 * * * * [progress]: [ 89 / 142 ] simplifiying candidate # 14.185 * * * * [progress]: [ 90 / 142 ] simplifiying candidate # 14.185 * * * * [progress]: [ 91 / 142 ] simplifiying candidate # 14.185 * * * * [progress]: [ 92 / 142 ] simplifiying candidate # 14.185 * * * * [progress]: [ 93 / 142 ] simplifiying candidate # 14.185 * * * * [progress]: [ 94 / 142 ] simplifiying candidate # 14.185 * * * * [progress]: [ 95 / 142 ] simplifiying candidate # 14.185 * * * * [progress]: [ 96 / 142 ] simplifiying candidate # 14.185 * * * * [progress]: [ 97 / 142 ] simplifiying candidate # 14.185 * * * * [progress]: [ 98 / 142 ] simplifiying candidate # 14.185 * * * * [progress]: [ 99 / 142 ] simplifiying candidate # 14.185 * * * * [progress]: [ 100 / 142 ] simplifiying candidate # 14.185 * * * * [progress]: [ 101 / 142 ] simplifiying candidate # 14.185 * * * * [progress]: [ 102 / 142 ] simplifiying candidate # 14.185 * * * * [progress]: [ 103 / 142 ] simplifiying candidate # 14.186 * * * * [progress]: [ 104 / 142 ] simplifiying candidate # 14.186 * * * * [progress]: [ 105 / 142 ] simplifiying candidate # 14.186 * * * * [progress]: [ 106 / 142 ] simplifiying candidate # 14.186 * * * * [progress]: [ 107 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(+ 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 J)) (* (cos (/ K 2)) (+ J 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)) (/ 1 (+ 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 (cos (/ K 2))) (+ J J)) (/ (/ 1 (cos (/ K 2))) (+ J J))), (* (/ (/ U (cos (/ K 2))) (+ (* J (* J J)) (* J (* J J)))) (/ (/ U (cos (/ K 2))) (+ (* J (* J J)) (* J (* J J))))), (* (* 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 (cbrt U)) (/ (+ J J) (cbrt U))) (* (cos (/ K 2)) (+ 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 (cos (/ K 2))) (/ (/ (/ U (cos (/ K 2))) (+ (* J (* J J)) (* J (* J J)))) (+ J J))), (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ U 0)), (* (/ (/ 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)))), (/ (* (/ (/ U (+ J J)) (cos (/ K 2))) (cbrt U)) (cos (/ K 2))), (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (sqrt U) (cos (/ K 2)))), (/ (/ (/ (* U U) (+ J J)) (cos (/ K 2))) (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) (/ U (+ J J))) (cos (/ K 2))), 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))))), (log (cbrt (cos (/ K 2)))), (exp (cbrt (cos (/ K 2)))), (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))), (cbrt (cbrt (cos (/ K 2)))), (cbrt (sqrt (cos (/ K 2)))), (cbrt (sqrt (cos (/ K 2)))), 1, (cbrt (cos (/ K 2))), (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))), (cbrt (cbrt (cos (/ K 2)))), (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))), (sqrt (cbrt (cos (/ K 2)))), (sqrt (cbrt (cos (/ K 2)))), (real->posit16 (cbrt (cos (/ K 2)))), 1, (/ (/ (* U 1/2) J) (cos (* 1/2 K))), (/ (/ (* U 1/2) J) (cos (* 1/2 K))), (+ (* -2 J) (* -1/4 (/ (* U U) J))), (- U), (- U), (+ (* (/ (* K K) (* (/ J U) (/ J U))) 1/16) (* (* (/ U J) (/ U J)) 1/4)), (* (/ 1/4 (* (cos (* 1/2 K)) (cos (* 1/2 K)))) (* (/ U J) (/ U J))), (* (/ 1/4 (* (cos (* 1/2 K)) (cos (* 1/2 K)))) (* (/ U J) (/ U J))), (- (- 1 (* (* K K) 1/24)) (* 1/1152 (* (* K K) (* K K)))), (cbrt (cos (* 1/2 K))), (cbrt (cos (* 1/2 K))) 15.550 * * * [progress]: adding candidates to table 17.713 * [progress]: [Phase 3 of 3] Extracting. 17.713 * * [regime]: Finding splitpoints for: (#real (real->posit16 (* (+ J J) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))> # # # # # # # # #) 17.718 * * * [regime-changes]: Trying 5 branch expressions: (U K (/ K 2) (cos (/ K 2)) J) 17.718 * * * * [regimes]: Trying to branch on U from (#real (real->posit16 (* (+ J J) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))> # # # # # # # # #) 17.801 * * * * [regimes]: Trying to branch on K from (#real (real->posit16 (* (+ J J) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))> # # # # # # # # #) 17.900 * * * * [regimes]: Trying to branch on (/ K 2) from (#real (real->posit16 (* (+ J J) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))> # # # # # # # # #) 18.012 * * * * [regimes]: Trying to branch on (cos (/ K 2)) from (#real (real->posit16 (* (+ J J) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))> # # # # # # # # #) 18.121 * * * * [regimes]: Trying to branch on J from (#real (real->posit16 (* (+ J J) (cos (/ K 2))))))) 1)) (cos (/ K 2))) (* -2 J)))> # # # # # # # # #) 18.247 * * * [regime]: Found split indices: #