0.002 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.193 * * * [progress]: [2/2] Setting up program. 0.201 * [progress]: [Phase 2 of 3] Improving. 0.201 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.201 * [simplify]: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 0.201 * * [simplify]: iteration 1: (17 enodes) 0.212 * * [simplify]: iteration 2: (70 enodes) 0.236 * * [simplify]: iteration 3: (126 enodes) 0.284 * * [simplify]: iteration 4: (277 enodes) 0.381 * * [simplify]: iteration 5: (754 enodes) 0.900 * * [simplify]: Extracting #0: cost 1 inf + 0 0.900 * * [simplify]: Extracting #1: cost 16 inf + 0 0.900 * * [simplify]: Extracting #2: cost 29 inf + 2 0.900 * * [simplify]: Extracting #3: cost 31 inf + 87 0.900 * * [simplify]: Extracting #4: cost 214 inf + 131 0.904 * * [simplify]: Extracting #5: cost 464 inf + 10800 0.938 * * [simplify]: Extracting #6: cost 159 inf + 94433 0.985 * * [simplify]: Extracting #7: cost 26 inf + 139839 1.044 * * [simplify]: Extracting #8: cost 1 inf + 153222 1.124 * * [simplify]: Extracting #9: cost 0 inf + 153737 1.172 * [simplify]: Simplified to (* (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))) 1.188 * * [progress]: iteration 1 / 4 1.188 * * * [progress]: picking best candidate 1.196 * * * * [pick]: Picked # 1.196 * * * [progress]: localizing error 1.230 * * * [progress]: generating rewritten candidates 1.230 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.364 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.620 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.667 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.683 * * * [progress]: generating series expansions 1.683 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.683 * [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)) 1.683 * [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 1.683 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 1.683 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 1.684 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 1.684 * [taylor]: Taking taylor expansion of 1/4 in K 1.684 * [backup-simplify]: Simplify 1/4 into 1/4 1.684 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.684 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.684 * [taylor]: Taking taylor expansion of U in K 1.684 * [backup-simplify]: Simplify U into U 1.684 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.684 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.684 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.684 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.684 * [taylor]: Taking taylor expansion of 1/2 in K 1.684 * [backup-simplify]: Simplify 1/2 into 1/2 1.684 * [taylor]: Taking taylor expansion of K in K 1.684 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify 1 into 1 1.684 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.685 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.685 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.685 * [taylor]: Taking taylor expansion of J in K 1.685 * [backup-simplify]: Simplify J into J 1.685 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.685 * [backup-simplify]: Simplify (* 1 1) into 1 1.685 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.685 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.685 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 1.685 * [taylor]: Taking taylor expansion of 1 in K 1.685 * [backup-simplify]: Simplify 1 into 1 1.686 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 1.686 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1.686 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 1.686 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.686 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.687 * [backup-simplify]: Simplify (+ 0) into 0 1.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 1.688 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 1.689 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 1.689 * [backup-simplify]: Simplify (+ 0 0) into 0 1.690 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 1.690 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 1.690 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 1.690 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 1.690 * [taylor]: Taking taylor expansion of 1/4 in J 1.690 * [backup-simplify]: Simplify 1/4 into 1/4 1.690 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 1.690 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.690 * [taylor]: Taking taylor expansion of U in J 1.690 * [backup-simplify]: Simplify U into U 1.690 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 1.690 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 1.690 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.690 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.690 * [taylor]: Taking taylor expansion of 1/2 in J 1.690 * [backup-simplify]: Simplify 1/2 into 1/2 1.690 * [taylor]: Taking taylor expansion of K in J 1.690 * [backup-simplify]: Simplify K into K 1.690 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.690 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.690 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.691 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.691 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.691 * [backup-simplify]: Simplify (- 0) into 0 1.692 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.692 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.692 * [taylor]: Taking taylor expansion of J in J 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify 1 into 1 1.692 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.692 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.692 * [backup-simplify]: Simplify (* 1 1) into 1 1.692 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 1.693 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 1.693 * [taylor]: Taking taylor expansion of 1 in J 1.693 * [backup-simplify]: Simplify 1 into 1 1.693 * [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))) 1.693 * [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))) 1.693 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 1.693 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.695 * [backup-simplify]: Simplify (+ 0) into 0 1.695 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.696 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.697 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.697 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.698 * [backup-simplify]: Simplify (- 0) into 0 1.698 * [backup-simplify]: Simplify (+ 0 0) into 0 1.698 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.699 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 1.699 * [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 1.700 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 1.701 * [backup-simplify]: Simplify (+ 0 0) into 0 1.701 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 1.701 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.701 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.701 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.701 * [taylor]: Taking taylor expansion of 1/4 in U 1.701 * [backup-simplify]: Simplify 1/4 into 1/4 1.701 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.701 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.701 * [taylor]: Taking taylor expansion of U in U 1.701 * [backup-simplify]: Simplify 0 into 0 1.701 * [backup-simplify]: Simplify 1 into 1 1.702 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.702 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.702 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.702 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.702 * [taylor]: Taking taylor expansion of 1/2 in U 1.702 * [backup-simplify]: Simplify 1/2 into 1/2 1.702 * [taylor]: Taking taylor expansion of K in U 1.702 * [backup-simplify]: Simplify K into K 1.702 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.702 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.702 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.702 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.702 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.702 * [backup-simplify]: Simplify (- 0) into 0 1.703 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.703 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.703 * [taylor]: Taking taylor expansion of J in U 1.703 * [backup-simplify]: Simplify J into J 1.703 * [backup-simplify]: Simplify (* 1 1) into 1 1.703 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.703 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.703 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.704 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.704 * [taylor]: Taking taylor expansion of 1 in U 1.704 * [backup-simplify]: Simplify 1 into 1 1.704 * [backup-simplify]: Simplify (+ 0 1) into 1 1.705 * [backup-simplify]: Simplify (sqrt 1) into 1 1.705 * [backup-simplify]: Simplify (+ 0 0) into 0 1.706 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.706 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.706 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.706 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.706 * [taylor]: Taking taylor expansion of 1/4 in U 1.706 * [backup-simplify]: Simplify 1/4 into 1/4 1.706 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.706 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.706 * [taylor]: Taking taylor expansion of U in U 1.706 * [backup-simplify]: Simplify 0 into 0 1.706 * [backup-simplify]: Simplify 1 into 1 1.706 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.706 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.706 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.706 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.706 * [taylor]: Taking taylor expansion of 1/2 in U 1.706 * [backup-simplify]: Simplify 1/2 into 1/2 1.706 * [taylor]: Taking taylor expansion of K in U 1.706 * [backup-simplify]: Simplify K into K 1.706 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.706 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.706 * [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 J 2) in U 1.707 * [taylor]: Taking taylor expansion of J in U 1.707 * [backup-simplify]: Simplify J into J 1.708 * [backup-simplify]: Simplify (* 1 1) into 1 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 (* J J) into (pow J 2) 1.708 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.709 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.709 * [taylor]: Taking taylor expansion of 1 in U 1.709 * [backup-simplify]: Simplify 1 into 1 1.709 * [backup-simplify]: Simplify (+ 0 1) into 1 1.710 * [backup-simplify]: Simplify (sqrt 1) into 1 1.710 * [backup-simplify]: Simplify (+ 0 0) into 0 1.712 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.712 * [taylor]: Taking taylor expansion of 1 in J 1.712 * [backup-simplify]: Simplify 1 into 1 1.712 * [taylor]: Taking taylor expansion of 0 in J 1.712 * [backup-simplify]: Simplify 0 into 0 1.712 * [taylor]: Taking taylor expansion of 1 in K 1.712 * [backup-simplify]: Simplify 1 into 1 1.712 * [backup-simplify]: Simplify 1 into 1 1.712 * [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))) 1.713 * [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)))) 1.714 * [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))) 1.714 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 1.714 * [taylor]: Taking taylor expansion of 1/8 in J 1.714 * [backup-simplify]: Simplify 1/8 into 1/8 1.714 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 1.714 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 1.714 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.714 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.714 * [taylor]: Taking taylor expansion of 1/2 in J 1.715 * [backup-simplify]: Simplify 1/2 into 1/2 1.715 * [taylor]: Taking taylor expansion of K in J 1.715 * [backup-simplify]: Simplify K into K 1.715 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.715 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.715 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.715 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.715 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.715 * [backup-simplify]: Simplify (- 0) into 0 1.715 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.715 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.715 * [taylor]: Taking taylor expansion of J in J 1.715 * [backup-simplify]: Simplify 0 into 0 1.716 * [backup-simplify]: Simplify 1 into 1 1.716 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.716 * [backup-simplify]: Simplify (* 1 1) into 1 1.716 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 1.716 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 1.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.717 * [backup-simplify]: Simplify (+ 0) into 0 1.718 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.718 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.719 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.720 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.720 * [backup-simplify]: Simplify (- 0) into 0 1.721 * [backup-simplify]: Simplify (+ 0 0) into 0 1.721 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.721 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 1.722 * [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 1.722 * [taylor]: Taking taylor expansion of 0 in K 1.722 * [backup-simplify]: Simplify 0 into 0 1.722 * [backup-simplify]: Simplify 0 into 0 1.722 * [taylor]: Taking taylor expansion of 0 in K 1.722 * [backup-simplify]: Simplify 0 into 0 1.722 * [backup-simplify]: Simplify 0 into 0 1.722 * [taylor]: Taking taylor expansion of 0 in K 1.722 * [backup-simplify]: Simplify 0 into 0 1.722 * [backup-simplify]: Simplify 0 into 0 1.722 * [backup-simplify]: Simplify 0 into 0 1.723 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.723 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.723 * [backup-simplify]: Simplify (+ 0) into 0 1.724 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.724 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.725 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.725 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.726 * [backup-simplify]: Simplify (- 0) into 0 1.726 * [backup-simplify]: Simplify (+ 0 0) into 0 1.726 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.726 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 1.727 * [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 1.728 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 1.728 * [backup-simplify]: Simplify (+ 0 0) into 0 1.729 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 1.729 * [taylor]: Taking taylor expansion of 0 in J 1.729 * [backup-simplify]: Simplify 0 into 0 1.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.731 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.732 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.732 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.733 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.734 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.734 * [backup-simplify]: Simplify (- 0) into 0 1.735 * [backup-simplify]: Simplify (+ 0 0) into 0 1.735 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 1.736 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 1.736 * [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 1.736 * [taylor]: Taking taylor expansion of 0 in K 1.736 * [backup-simplify]: Simplify 0 into 0 1.736 * [backup-simplify]: Simplify 0 into 0 1.736 * [taylor]: Taking taylor expansion of 0 in K 1.736 * [backup-simplify]: Simplify 0 into 0 1.736 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify 1 into 1 1.737 * [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)) 1.737 * [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 1.737 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 1.737 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 1.737 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 1.737 * [taylor]: Taking taylor expansion of 1/4 in K 1.737 * [backup-simplify]: Simplify 1/4 into 1/4 1.737 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 1.737 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.738 * [taylor]: Taking taylor expansion of J in K 1.738 * [backup-simplify]: Simplify J into J 1.738 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 1.738 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.738 * [taylor]: Taking taylor expansion of U in K 1.738 * [backup-simplify]: Simplify U into U 1.738 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 1.738 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.738 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.738 * [taylor]: Taking taylor expansion of 1/2 in K 1.738 * [backup-simplify]: Simplify 1/2 into 1/2 1.738 * [taylor]: Taking taylor expansion of K in K 1.738 * [backup-simplify]: Simplify 0 into 0 1.738 * [backup-simplify]: Simplify 1 into 1 1.738 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.738 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.739 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.739 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.739 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.739 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.739 * [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))) 1.739 * [taylor]: Taking taylor expansion of 1 in K 1.739 * [backup-simplify]: Simplify 1 into 1 1.739 * [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)))) 1.740 * [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) 1.740 * [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)) 1.740 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.740 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.741 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.741 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.741 * [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 1.742 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.743 * [backup-simplify]: Simplify (+ 0 0) into 0 1.743 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 1.743 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 1.743 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 1.743 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 1.743 * [taylor]: Taking taylor expansion of 1/4 in J 1.743 * [backup-simplify]: Simplify 1/4 into 1/4 1.743 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 1.743 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.744 * [taylor]: Taking taylor expansion of J in J 1.744 * [backup-simplify]: Simplify 0 into 0 1.744 * [backup-simplify]: Simplify 1 into 1 1.744 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 1.744 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.744 * [taylor]: Taking taylor expansion of U in J 1.744 * [backup-simplify]: Simplify U into U 1.744 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.744 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.744 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.744 * [taylor]: Taking taylor expansion of 1/2 in J 1.744 * [backup-simplify]: Simplify 1/2 into 1/2 1.744 * [taylor]: Taking taylor expansion of K in J 1.744 * [backup-simplify]: Simplify K into K 1.744 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.744 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.744 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.744 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.744 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.745 * [backup-simplify]: Simplify (- 0) into 0 1.745 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.745 * [backup-simplify]: Simplify (* 1 1) into 1 1.745 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.745 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.746 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.746 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 1.746 * [taylor]: Taking taylor expansion of 1 in J 1.746 * [backup-simplify]: Simplify 1 into 1 1.746 * [backup-simplify]: Simplify (+ 0 1) into 1 1.747 * [backup-simplify]: Simplify (sqrt 1) into 1 1.747 * [backup-simplify]: Simplify (+ 0 0) into 0 1.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.748 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.748 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.748 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.748 * [taylor]: Taking taylor expansion of 1/4 in U 1.748 * [backup-simplify]: Simplify 1/4 into 1/4 1.748 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.748 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.748 * [taylor]: Taking taylor expansion of J in U 1.748 * [backup-simplify]: Simplify J into J 1.748 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.748 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.748 * [taylor]: Taking taylor expansion of U in U 1.748 * [backup-simplify]: Simplify 0 into 0 1.748 * [backup-simplify]: Simplify 1 into 1 1.748 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.748 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.748 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.748 * [taylor]: Taking taylor expansion of 1/2 in U 1.748 * [backup-simplify]: Simplify 1/2 into 1/2 1.748 * [taylor]: Taking taylor expansion of K in U 1.749 * [backup-simplify]: Simplify K into K 1.749 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.749 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.749 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.749 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.749 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.749 * [backup-simplify]: Simplify (- 0) into 0 1.749 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.750 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.750 * [backup-simplify]: Simplify (* 1 1) into 1 1.750 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.750 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.750 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.750 * [taylor]: Taking taylor expansion of 1 in U 1.750 * [backup-simplify]: Simplify 1 into 1 1.751 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.751 * [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))) 1.751 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.751 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.752 * [backup-simplify]: Simplify (+ 0) into 0 1.752 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.752 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.753 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.754 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.754 * [backup-simplify]: Simplify (- 0) into 0 1.754 * [backup-simplify]: Simplify (+ 0 0) into 0 1.754 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.756 * [backup-simplify]: 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 1.757 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.757 * [backup-simplify]: Simplify (+ 0 0) into 0 1.757 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.758 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.758 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.758 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.758 * [taylor]: Taking taylor expansion of 1/4 in U 1.758 * [backup-simplify]: Simplify 1/4 into 1/4 1.758 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.758 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.758 * [taylor]: Taking taylor expansion of J in U 1.758 * [backup-simplify]: Simplify J into J 1.758 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.758 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.758 * [taylor]: Taking taylor expansion of U in U 1.758 * [backup-simplify]: Simplify 0 into 0 1.758 * [backup-simplify]: Simplify 1 into 1 1.758 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.758 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.758 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.758 * [taylor]: Taking taylor expansion of 1/2 in U 1.758 * [backup-simplify]: Simplify 1/2 into 1/2 1.758 * [taylor]: Taking taylor expansion of K in U 1.758 * [backup-simplify]: Simplify K into K 1.758 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.758 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.758 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.758 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.758 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.759 * [backup-simplify]: Simplify (- 0) into 0 1.759 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.759 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.759 * [backup-simplify]: Simplify (* 1 1) into 1 1.760 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.760 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.760 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.760 * [taylor]: Taking taylor expansion of 1 in U 1.760 * [backup-simplify]: Simplify 1 into 1 1.760 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.760 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.761 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.761 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.761 * [backup-simplify]: Simplify (+ 0) into 0 1.762 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.762 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.763 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.763 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.764 * [backup-simplify]: Simplify (- 0) into 0 1.764 * [backup-simplify]: Simplify (+ 0 0) into 0 1.764 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.766 * [backup-simplify]: 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 1.766 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.767 * [backup-simplify]: Simplify (+ 0 0) into 0 1.767 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.767 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 1.767 * [taylor]: Taking taylor expansion of 1/2 in J 1.767 * [backup-simplify]: Simplify 1/2 into 1/2 1.767 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 1.767 * [taylor]: Taking taylor expansion of J in J 1.767 * [backup-simplify]: Simplify 0 into 0 1.767 * [backup-simplify]: Simplify 1 into 1 1.767 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.767 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.767 * [taylor]: Taking taylor expansion of 1/2 in J 1.767 * [backup-simplify]: Simplify 1/2 into 1/2 1.767 * [taylor]: Taking taylor expansion of K in J 1.767 * [backup-simplify]: Simplify K into K 1.767 * [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 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 1.768 * [taylor]: Taking taylor expansion of 0 in J 1.768 * [backup-simplify]: Simplify 0 into 0 1.769 * [taylor]: Taking taylor expansion of 0 in K 1.769 * [backup-simplify]: Simplify 0 into 0 1.769 * [backup-simplify]: Simplify 0 into 0 1.769 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 1.769 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 1.769 * [taylor]: Taking taylor expansion of 1/2 in K 1.769 * [backup-simplify]: Simplify 1/2 into 1/2 1.769 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.769 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.769 * [taylor]: Taking taylor expansion of 1/2 in K 1.769 * [backup-simplify]: Simplify 1/2 into 1/2 1.769 * [taylor]: Taking taylor expansion of K in K 1.769 * [backup-simplify]: Simplify 0 into 0 1.769 * [backup-simplify]: Simplify 1 into 1 1.769 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.769 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.770 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 1.770 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 1.770 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.771 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.772 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.772 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.773 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.774 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.774 * [backup-simplify]: Simplify (- 0) into 0 1.774 * [backup-simplify]: Simplify (+ 0 0) into 0 1.775 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 1.780 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.782 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.782 * [backup-simplify]: Simplify (+ 0 1) into 1 1.783 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) 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 1.783 * [backup-simplify]: Simplify 1 into 1 1.783 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.783 * [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)) 1) into (cos (/ 1/2 K)) 1.784 * [backup-simplify]: Simplify (+ 0) into 0 1.785 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.785 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.786 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.786 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.787 * [backup-simplify]: Simplify (- 0) into 0 1.787 * [backup-simplify]: Simplify (+ 0 0) into 0 1.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 1.788 * [taylor]: Taking taylor expansion of 0 in K 1.788 * [backup-simplify]: Simplify 0 into 0 1.788 * [backup-simplify]: Simplify 0 into 0 1.788 * [taylor]: Taking taylor expansion of 0 in K 1.788 * [backup-simplify]: Simplify 0 into 0 1.788 * [backup-simplify]: Simplify 0 into 0 1.788 * [backup-simplify]: Simplify (+ 0) into 0 1.789 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.789 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.790 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.790 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.790 * [backup-simplify]: Simplify (- 0) into 0 1.791 * [backup-simplify]: Simplify (+ 0 0) into 0 1.791 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.792 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 1.792 * [taylor]: Taking taylor expansion of 0 in K 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.792 * [backup-simplify]: Simplify 0 into 0 1.793 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.794 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.794 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.795 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.796 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.797 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.797 * [backup-simplify]: Simplify (- 0) into 0 1.798 * [backup-simplify]: Simplify (+ 0 0) into 0 1.798 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 1.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.801 * [backup-simplify]: 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 1.802 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.803 * [backup-simplify]: Simplify (+ 0 0) into 0 1.803 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 1.803 * [taylor]: Taking taylor expansion of 0 in J 1.803 * [backup-simplify]: Simplify 0 into 0 1.803 * [taylor]: Taking taylor expansion of 0 in K 1.803 * [backup-simplify]: Simplify 0 into 0 1.803 * [backup-simplify]: Simplify 0 into 0 1.803 * [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))) 1.804 * [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)))))) 1.804 * [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 1.804 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 1.804 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 1.804 * [taylor]: Taking taylor expansion of 1 in K 1.804 * [backup-simplify]: Simplify 1 into 1 1.804 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 1.804 * [taylor]: Taking taylor expansion of 1/4 in K 1.804 * [backup-simplify]: Simplify 1/4 into 1/4 1.804 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 1.804 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.804 * [taylor]: Taking taylor expansion of J in K 1.805 * [backup-simplify]: Simplify J into J 1.805 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 1.805 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 1.805 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.805 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.805 * [taylor]: Taking taylor expansion of -1/2 in K 1.805 * [backup-simplify]: Simplify -1/2 into -1/2 1.805 * [taylor]: Taking taylor expansion of K in K 1.805 * [backup-simplify]: Simplify 0 into 0 1.805 * [backup-simplify]: Simplify 1 into 1 1.805 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.805 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.805 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.805 * [taylor]: Taking taylor expansion of U in K 1.805 * [backup-simplify]: Simplify U into U 1.805 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.805 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.806 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.806 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.806 * [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))) 1.806 * [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)))) 1.806 * [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))))) 1.806 * [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)))))) 1.806 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.806 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.807 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.807 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 1.807 * [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 1.807 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 1.808 * [backup-simplify]: Simplify (+ 0 0) into 0 1.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 1.808 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 1.808 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 1.808 * [taylor]: Taking taylor expansion of 1 in J 1.808 * [backup-simplify]: Simplify 1 into 1 1.808 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 1.808 * [taylor]: Taking taylor expansion of 1/4 in J 1.808 * [backup-simplify]: Simplify 1/4 into 1/4 1.808 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 1.808 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.808 * [taylor]: Taking taylor expansion of J in J 1.808 * [backup-simplify]: Simplify 0 into 0 1.808 * [backup-simplify]: Simplify 1 into 1 1.808 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 1.808 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.808 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.808 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.808 * [taylor]: Taking taylor expansion of -1/2 in J 1.808 * [backup-simplify]: Simplify -1/2 into -1/2 1.808 * [taylor]: Taking taylor expansion of K in J 1.808 * [backup-simplify]: Simplify K into K 1.808 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.808 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.808 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.808 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.808 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.809 * [backup-simplify]: Simplify (- 0) into 0 1.809 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.809 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.809 * [taylor]: Taking taylor expansion of U in J 1.809 * [backup-simplify]: Simplify U into U 1.809 * [backup-simplify]: Simplify (* 1 1) into 1 1.809 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.809 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.809 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.809 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 1.810 * [backup-simplify]: Simplify (+ 1 0) into 1 1.810 * [backup-simplify]: Simplify (sqrt 1) into 1 1.810 * [backup-simplify]: Simplify (+ 0 0) into 0 1.811 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.811 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 1.811 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 1.811 * [taylor]: Taking taylor expansion of 1 in U 1.811 * [backup-simplify]: Simplify 1 into 1 1.811 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.811 * [taylor]: Taking taylor expansion of 1/4 in U 1.811 * [backup-simplify]: Simplify 1/4 into 1/4 1.811 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.811 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.811 * [taylor]: Taking taylor expansion of J in U 1.811 * [backup-simplify]: Simplify J into J 1.811 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.811 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.811 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.811 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.811 * [taylor]: Taking taylor expansion of -1/2 in U 1.811 * [backup-simplify]: Simplify -1/2 into -1/2 1.811 * [taylor]: Taking taylor expansion of K in U 1.811 * [backup-simplify]: Simplify K into K 1.811 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.811 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.811 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.811 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.811 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.812 * [backup-simplify]: Simplify (- 0) into 0 1.812 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.812 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.812 * [taylor]: Taking taylor expansion of U in U 1.812 * [backup-simplify]: Simplify 0 into 0 1.812 * [backup-simplify]: Simplify 1 into 1 1.812 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.812 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.812 * [backup-simplify]: Simplify (* 1 1) into 1 1.812 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.812 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.812 * [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))) 1.812 * [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))) 1.813 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.813 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.813 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.813 * [backup-simplify]: Simplify (+ 0) into 0 1.814 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.814 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.814 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.815 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.815 * [backup-simplify]: Simplify (- 0) into 0 1.815 * [backup-simplify]: Simplify (+ 0 0) into 0 1.815 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.815 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.816 * [backup-simplify]: 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 1.816 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.816 * [backup-simplify]: Simplify (+ 0 0) into 0 1.817 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.817 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 1.817 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 1.817 * [taylor]: Taking taylor expansion of 1 in U 1.817 * [backup-simplify]: Simplify 1 into 1 1.817 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.817 * [taylor]: Taking taylor expansion of 1/4 in U 1.817 * [backup-simplify]: Simplify 1/4 into 1/4 1.817 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.817 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.817 * [taylor]: Taking taylor expansion of J in U 1.817 * [backup-simplify]: Simplify J into J 1.817 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.817 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.817 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.817 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.817 * [taylor]: Taking taylor expansion of -1/2 in U 1.817 * [backup-simplify]: Simplify -1/2 into -1/2 1.817 * [taylor]: Taking taylor expansion of K in U 1.817 * [backup-simplify]: Simplify K into K 1.817 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.817 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.817 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.817 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.817 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.817 * [backup-simplify]: Simplify (- 0) into 0 1.817 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.817 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.817 * [taylor]: Taking taylor expansion of U in U 1.817 * [backup-simplify]: Simplify 0 into 0 1.817 * [backup-simplify]: Simplify 1 into 1 1.817 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.818 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.819 * [backup-simplify]: Simplify (* 1 1) into 1 1.819 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.819 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.819 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1.819 * [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))) 1.819 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.819 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.820 * [backup-simplify]: Simplify (+ 0) into 0 1.820 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.820 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.821 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.821 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.821 * [backup-simplify]: Simplify (- 0) into 0 1.822 * [backup-simplify]: Simplify (+ 0 0) into 0 1.822 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.822 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.822 * [backup-simplify]: 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 1.823 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.823 * [backup-simplify]: Simplify (+ 0 0) into 0 1.823 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.823 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 1.823 * [taylor]: Taking taylor expansion of 1/2 in J 1.823 * [backup-simplify]: Simplify 1/2 into 1/2 1.823 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 1.823 * [taylor]: Taking taylor expansion of J in J 1.823 * [backup-simplify]: Simplify 0 into 0 1.823 * [backup-simplify]: Simplify 1 into 1 1.823 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.823 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.823 * [taylor]: Taking taylor expansion of -1/2 in J 1.823 * [backup-simplify]: Simplify -1/2 into -1/2 1.823 * [taylor]: Taking taylor expansion of K in J 1.823 * [backup-simplify]: Simplify K into K 1.823 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.823 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.823 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.824 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.824 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.824 * [backup-simplify]: Simplify (- 0) into 0 1.824 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.824 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 1.824 * [taylor]: Taking taylor expansion of 0 in J 1.824 * [backup-simplify]: Simplify 0 into 0 1.824 * [taylor]: Taking taylor expansion of 0 in K 1.824 * [backup-simplify]: Simplify 0 into 0 1.824 * [backup-simplify]: Simplify 0 into 0 1.824 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 1.824 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -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 (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 1.825 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.825 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.825 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 1.825 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 1.825 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.826 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.826 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.827 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.827 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.827 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.828 * [backup-simplify]: Simplify (- 0) into 0 1.828 * [backup-simplify]: Simplify (+ 0 0) into 0 1.828 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.829 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 1.829 * [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))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.830 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 1.830 * [backup-simplify]: Simplify (+ 1 0) into 1 1.830 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 1.830 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.830 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.830 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.830 * [taylor]: Taking taylor expansion of -1/2 in J 1.830 * [backup-simplify]: Simplify -1/2 into -1/2 1.830 * [taylor]: Taking taylor expansion of K in J 1.830 * [backup-simplify]: Simplify K into K 1.830 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.831 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.831 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.831 * [taylor]: Taking taylor expansion of J in J 1.831 * [backup-simplify]: Simplify 0 into 0 1.831 * [backup-simplify]: Simplify 1 into 1 1.831 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.831 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.831 * [backup-simplify]: Simplify (- 0) into 0 1.831 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.831 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.832 * [backup-simplify]: Simplify (+ 0) into 0 1.832 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.832 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.832 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.833 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.833 * [backup-simplify]: Simplify (- 0) into 0 1.833 * [backup-simplify]: Simplify (+ 0 0) into 0 1.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 1.834 * [taylor]: Taking taylor expansion of 0 in K 1.834 * [backup-simplify]: Simplify 0 into 0 1.834 * [backup-simplify]: Simplify 0 into 0 1.834 * [taylor]: Taking taylor expansion of 0 in K 1.834 * [backup-simplify]: Simplify 0 into 0 1.834 * [backup-simplify]: Simplify 0 into 0 1.834 * [backup-simplify]: Simplify (+ 0) into 0 1.834 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.835 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.835 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.835 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.836 * [backup-simplify]: Simplify (- 0) into 0 1.836 * [backup-simplify]: Simplify (+ 0 0) into 0 1.836 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.836 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 1.836 * [taylor]: Taking taylor expansion of 0 in K 1.836 * [backup-simplify]: Simplify 0 into 0 1.836 * [backup-simplify]: Simplify 0 into 0 1.836 * [backup-simplify]: Simplify 0 into 0 1.837 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.837 * [backup-simplify]: Simplify 0 into 0 1.837 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.838 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.839 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.839 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.840 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.840 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.841 * [backup-simplify]: Simplify (- 0) into 0 1.841 * [backup-simplify]: Simplify (+ 0 0) into 0 1.841 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 1.842 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.842 * [backup-simplify]: 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 1.843 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.843 * [backup-simplify]: Simplify (+ 0 0) into 0 1.843 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 1.844 * [taylor]: Taking taylor expansion of 0 in J 1.844 * [backup-simplify]: Simplify 0 into 0 1.844 * [taylor]: Taking taylor expansion of 0 in K 1.844 * [backup-simplify]: Simplify 0 into 0 1.844 * [backup-simplify]: Simplify 0 into 0 1.844 * [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))) 1.844 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.844 * [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)))) 1.844 * [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 1.844 * [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 1.844 * [taylor]: Taking taylor expansion of -2 in K 1.844 * [backup-simplify]: Simplify -2 into -2 1.844 * [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 1.844 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.844 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.844 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.844 * [taylor]: Taking taylor expansion of 1/2 in K 1.844 * [backup-simplify]: Simplify 1/2 into 1/2 1.844 * [taylor]: Taking taylor expansion of K in K 1.844 * [backup-simplify]: Simplify 0 into 0 1.844 * [backup-simplify]: Simplify 1 into 1 1.845 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.845 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.845 * [taylor]: Taking taylor expansion of J in K 1.845 * [backup-simplify]: Simplify J into J 1.845 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 1.845 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 1.845 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 1.845 * [taylor]: Taking taylor expansion of 1/4 in K 1.845 * [backup-simplify]: Simplify 1/4 into 1/4 1.845 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.845 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.845 * [taylor]: Taking taylor expansion of U in K 1.845 * [backup-simplify]: Simplify U into U 1.845 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.845 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.845 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.845 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.845 * [taylor]: Taking taylor expansion of 1/2 in K 1.845 * [backup-simplify]: Simplify 1/2 into 1/2 1.845 * [taylor]: Taking taylor expansion of K in K 1.845 * [backup-simplify]: Simplify 0 into 0 1.845 * [backup-simplify]: Simplify 1 into 1 1.846 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.846 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.846 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.846 * [taylor]: Taking taylor expansion of J in K 1.846 * [backup-simplify]: Simplify J into J 1.846 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.846 * [backup-simplify]: Simplify (* 1 1) into 1 1.847 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.847 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.847 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 1.847 * [taylor]: Taking taylor expansion of 1 in K 1.847 * [backup-simplify]: Simplify 1 into 1 1.847 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 1.847 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1.847 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 1.847 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.847 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.847 * [backup-simplify]: Simplify (+ 0) into 0 1.848 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.848 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 1.848 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 1.849 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 1.849 * [backup-simplify]: Simplify (+ 0 0) into 0 1.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 1.849 * [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 1.849 * [taylor]: Taking taylor expansion of -2 in J 1.849 * [backup-simplify]: Simplify -2 into -2 1.849 * [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 1.849 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.849 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.849 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.849 * [taylor]: Taking taylor expansion of 1/2 in J 1.849 * [backup-simplify]: Simplify 1/2 into 1/2 1.849 * [taylor]: Taking taylor expansion of K in J 1.849 * [backup-simplify]: Simplify K into K 1.849 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.849 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.849 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.849 * [taylor]: Taking taylor expansion of J in J 1.849 * [backup-simplify]: Simplify 0 into 0 1.849 * [backup-simplify]: Simplify 1 into 1 1.849 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 1.849 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 1.849 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 1.849 * [taylor]: Taking taylor expansion of 1/4 in J 1.849 * [backup-simplify]: Simplify 1/4 into 1/4 1.849 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 1.850 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.850 * [taylor]: Taking taylor expansion of U in J 1.850 * [backup-simplify]: Simplify U into U 1.850 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 1.850 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 1.850 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.850 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.850 * [taylor]: Taking taylor expansion of 1/2 in J 1.850 * [backup-simplify]: Simplify 1/2 into 1/2 1.850 * [taylor]: Taking taylor expansion of K in J 1.850 * [backup-simplify]: Simplify K into K 1.850 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.850 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.850 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.850 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.850 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.850 * [backup-simplify]: Simplify (- 0) into 0 1.850 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.850 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.850 * [taylor]: Taking taylor expansion of J in J 1.850 * [backup-simplify]: Simplify 0 into 0 1.850 * [backup-simplify]: Simplify 1 into 1 1.850 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.850 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.851 * [backup-simplify]: Simplify (* 1 1) into 1 1.851 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 1.851 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 1.851 * [taylor]: Taking taylor expansion of 1 in J 1.851 * [backup-simplify]: Simplify 1 into 1 1.851 * [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))) 1.851 * [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))) 1.851 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 1.851 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.852 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.852 * [backup-simplify]: Simplify (+ 0) into 0 1.852 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.853 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.853 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.853 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.854 * [backup-simplify]: Simplify (- 0) into 0 1.854 * [backup-simplify]: Simplify (+ 0 0) into 0 1.854 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.855 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 1.855 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 1.856 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 1.856 * [backup-simplify]: Simplify (+ 0 0) into 0 1.856 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 1.856 * [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 1.856 * [taylor]: Taking taylor expansion of -2 in U 1.856 * [backup-simplify]: Simplify -2 into -2 1.856 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 1.856 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.856 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.856 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.857 * [taylor]: Taking taylor expansion of 1/2 in U 1.857 * [backup-simplify]: Simplify 1/2 into 1/2 1.857 * [taylor]: Taking taylor expansion of K in U 1.857 * [backup-simplify]: Simplify K into K 1.857 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.857 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.857 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.857 * [taylor]: Taking taylor expansion of J in U 1.857 * [backup-simplify]: Simplify J into J 1.857 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.857 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.857 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.857 * [taylor]: Taking taylor expansion of 1/4 in U 1.857 * [backup-simplify]: Simplify 1/4 into 1/4 1.857 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.857 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.857 * [taylor]: Taking taylor expansion of U in U 1.857 * [backup-simplify]: Simplify 0 into 0 1.857 * [backup-simplify]: Simplify 1 into 1 1.857 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.857 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.857 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.857 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.857 * [taylor]: Taking taylor expansion of 1/2 in U 1.857 * [backup-simplify]: Simplify 1/2 into 1/2 1.857 * [taylor]: Taking taylor expansion of K in U 1.857 * [backup-simplify]: Simplify K into K 1.857 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.857 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.858 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.858 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.858 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.858 * [backup-simplify]: Simplify (- 0) into 0 1.858 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.858 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.858 * [taylor]: Taking taylor expansion of J in U 1.858 * [backup-simplify]: Simplify J into J 1.859 * [backup-simplify]: Simplify (* 1 1) into 1 1.859 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.859 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.859 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.859 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.859 * [taylor]: Taking taylor expansion of 1 in U 1.859 * [backup-simplify]: Simplify 1 into 1 1.860 * [backup-simplify]: Simplify (+ 0 1) into 1 1.860 * [backup-simplify]: Simplify (sqrt 1) into 1 1.860 * [backup-simplify]: Simplify (+ 0 0) into 0 1.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.861 * [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 1.861 * [taylor]: Taking taylor expansion of -2 in U 1.861 * [backup-simplify]: Simplify -2 into -2 1.861 * [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 1.861 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.861 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.861 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.861 * [taylor]: Taking taylor expansion of 1/2 in U 1.861 * [backup-simplify]: Simplify 1/2 into 1/2 1.861 * [taylor]: Taking taylor expansion of K in U 1.861 * [backup-simplify]: Simplify K into K 1.861 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.862 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.862 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.862 * [taylor]: Taking taylor expansion of J in U 1.862 * [backup-simplify]: Simplify J into J 1.862 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.862 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.862 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.862 * [taylor]: Taking taylor expansion of 1/4 in U 1.862 * [backup-simplify]: Simplify 1/4 into 1/4 1.862 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.862 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.862 * [taylor]: Taking taylor expansion of U in U 1.862 * [backup-simplify]: Simplify 0 into 0 1.862 * [backup-simplify]: Simplify 1 into 1 1.862 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.862 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.862 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.862 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.862 * [taylor]: Taking taylor expansion of 1/2 in U 1.862 * [backup-simplify]: Simplify 1/2 into 1/2 1.862 * [taylor]: Taking taylor expansion of K in U 1.862 * [backup-simplify]: Simplify K into K 1.862 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.862 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.862 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.862 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.862 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.863 * [backup-simplify]: Simplify (- 0) into 0 1.863 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.863 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.863 * [taylor]: Taking taylor expansion of J in U 1.863 * [backup-simplify]: Simplify J into J 1.863 * [backup-simplify]: Simplify (* 1 1) into 1 1.863 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.864 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.864 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.864 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.864 * [taylor]: Taking taylor expansion of 1 in U 1.864 * [backup-simplify]: Simplify 1 into 1 1.864 * [backup-simplify]: Simplify (+ 0 1) into 1 1.865 * [backup-simplify]: Simplify (sqrt 1) into 1 1.865 * [backup-simplify]: Simplify (+ 0 0) into 0 1.866 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.866 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.866 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.866 * [backup-simplify]: Simplify (- 0) into 0 1.866 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.866 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 1.866 * [backup-simplify]: Simplify (* (* (cos (* 1/2 K)) J) 1) into (* (cos (* 1/2 K)) J) 1.866 * [backup-simplify]: Simplify (* -2 (* (cos (* 1/2 K)) J)) into (* -2 (* (cos (* 1/2 K)) J)) 1.866 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 1.866 * [taylor]: Taking taylor expansion of -2 in J 1.866 * [backup-simplify]: Simplify -2 into -2 1.866 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.866 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.867 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.867 * [taylor]: Taking taylor expansion of 1/2 in J 1.867 * [backup-simplify]: Simplify 1/2 into 1/2 1.867 * [taylor]: Taking taylor expansion of K in J 1.867 * [backup-simplify]: Simplify K into K 1.867 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.867 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.867 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.867 * [taylor]: Taking taylor expansion of J in J 1.867 * [backup-simplify]: Simplify 0 into 0 1.867 * [backup-simplify]: Simplify 1 into 1 1.867 * [backup-simplify]: Simplify (+ 0) into 0 1.867 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.868 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.868 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.868 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.869 * [backup-simplify]: Simplify (- 0) into 0 1.869 * [backup-simplify]: Simplify (+ 0 0) into 0 1.869 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 1.869 * [backup-simplify]: Simplify (+ (* (* (cos (* 1/2 K)) J) 0) (* 0 1)) into 0 1.870 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) J))) into 0 1.870 * [taylor]: Taking taylor expansion of 0 in J 1.870 * [backup-simplify]: Simplify 0 into 0 1.870 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.870 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.870 * [backup-simplify]: Simplify (- 0) into 0 1.870 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.870 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 1.870 * [backup-simplify]: Simplify (* -2 0) into 0 1.870 * [taylor]: Taking taylor expansion of 0 in K 1.870 * [backup-simplify]: Simplify 0 into 0 1.870 * [backup-simplify]: Simplify 0 into 0 1.871 * [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))) 1.871 * [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)))) 1.872 * [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))) 1.872 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.873 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.873 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.874 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.874 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.874 * [backup-simplify]: Simplify (- 0) into 0 1.874 * [backup-simplify]: Simplify (+ 0 0) into 0 1.875 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 1.875 * [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))) 1.876 * [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)))) 1.876 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (cos (* 1/2 K)) J)))) in J 1.876 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (* 1/2 K)) J))) in J 1.876 * [taylor]: Taking taylor expansion of 1/4 in J 1.876 * [backup-simplify]: Simplify 1/4 into 1/4 1.876 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (* 1/2 K)) J)) in J 1.876 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.876 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.876 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.876 * [taylor]: Taking taylor expansion of 1/2 in J 1.876 * [backup-simplify]: Simplify 1/2 into 1/2 1.876 * [taylor]: Taking taylor expansion of K in J 1.876 * [backup-simplify]: Simplify K into K 1.876 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.876 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.876 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.876 * [taylor]: Taking taylor expansion of J in J 1.876 * [backup-simplify]: Simplify 0 into 0 1.876 * [backup-simplify]: Simplify 1 into 1 1.876 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.876 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.876 * [backup-simplify]: Simplify (- 0) into 0 1.876 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.876 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 1.877 * [backup-simplify]: Simplify (+ 0) into 0 1.877 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.877 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.878 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.878 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.878 * [backup-simplify]: Simplify (- 0) into 0 1.879 * [backup-simplify]: Simplify (+ 0 0) into 0 1.879 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 1.879 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K))) 1.879 * [backup-simplify]: Simplify (* 1/4 (/ 1 (cos (* 1/2 K)))) into (/ 1/4 (cos (* 1/2 K))) 1.879 * [backup-simplify]: Simplify (- (/ 1/4 (cos (* 1/2 K)))) into (- (* 1/4 (/ 1 (cos (* 1/2 K))))) 1.879 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (cos (* 1/2 K))))) in K 1.879 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (cos (* 1/2 K)))) in K 1.879 * [taylor]: Taking taylor expansion of 1/4 in K 1.879 * [backup-simplify]: Simplify 1/4 into 1/4 1.879 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K 1.879 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.879 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.879 * [taylor]: Taking taylor expansion of 1/2 in K 1.879 * [backup-simplify]: Simplify 1/2 into 1/2 1.879 * [taylor]: Taking taylor expansion of K in K 1.879 * [backup-simplify]: Simplify 0 into 0 1.879 * [backup-simplify]: Simplify 1 into 1 1.880 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.880 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.880 * [backup-simplify]: Simplify (/ 1 1) into 1 1.880 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 1.881 * [backup-simplify]: Simplify (- 1/4) into -1/4 1.881 * [backup-simplify]: Simplify -1/4 into -1/4 1.881 * [taylor]: Taking taylor expansion of 0 in K 1.881 * [backup-simplify]: Simplify 0 into 0 1.881 * [backup-simplify]: Simplify 0 into 0 1.881 * [backup-simplify]: Simplify (+ 0) into 0 1.881 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.882 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.882 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.883 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.883 * [backup-simplify]: Simplify (- 0) into 0 1.883 * [backup-simplify]: Simplify (+ 0 0) into 0 1.883 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 1.884 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K)))) 1.884 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K 1.884 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K 1.884 * [taylor]: Taking taylor expansion of 2 in K 1.884 * [backup-simplify]: Simplify 2 into 2 1.884 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.884 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.884 * [taylor]: Taking taylor expansion of 1/2 in K 1.884 * [backup-simplify]: Simplify 1/2 into 1/2 1.884 * [taylor]: Taking taylor expansion of K in K 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify 1 into 1 1.884 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.885 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.886 * [backup-simplify]: Simplify (* 2 1) into 2 1.887 * [backup-simplify]: Simplify (- 2) into -2 1.887 * [backup-simplify]: Simplify -2 into -2 1.887 * [backup-simplify]: Simplify 0 into 0 1.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.887 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.888 * [backup-simplify]: Simplify (+ 0) into 0 1.888 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.888 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.889 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.889 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.889 * [backup-simplify]: Simplify (- 0) into 0 1.890 * [backup-simplify]: Simplify (+ 0 0) into 0 1.890 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.890 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 1.890 * [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 1.890 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 1.891 * [backup-simplify]: Simplify (+ 0 0) into 0 1.891 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 1.892 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.892 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.893 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 1.894 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.895 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.895 * [backup-simplify]: Simplify (- 0) into 0 1.895 * [backup-simplify]: Simplify (+ 0 0) into 0 1.896 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.897 * [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 1.898 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (* 1/2 K)) J)))) (+ (* 0 0) (* 0 (* (cos (* 1/2 K)) J))))) into 0 1.898 * [taylor]: Taking taylor expansion of 0 in J 1.898 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.900 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.901 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.901 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.902 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.902 * [backup-simplify]: Simplify (- 0) into 0 1.903 * [backup-simplify]: Simplify (+ 0 0) into 0 1.903 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.904 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 1.904 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (* 1/2 K))))) into 0 1.904 * [backup-simplify]: Simplify (- 0) into 0 1.904 * [taylor]: Taking taylor expansion of 0 in K 1.904 * [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 1.906 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.906 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.907 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.908 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.908 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.909 * [backup-simplify]: Simplify (- 0) into 0 1.909 * [backup-simplify]: Simplify (+ 0 0) into 0 1.910 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 1.911 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0 1.911 * [taylor]: Taking taylor expansion of 0 in K 1.911 * [backup-simplify]: Simplify 0 into 0 1.911 * [backup-simplify]: Simplify 0 into 0 1.911 * [backup-simplify]: Simplify (+ 0) into 0 1.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.913 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 1.913 * [backup-simplify]: Simplify (- 0) into 0 1.913 * [backup-simplify]: Simplify 0 into 0 1.914 * [backup-simplify]: Simplify 0 into 0 1.914 * [backup-simplify]: Simplify (+ (* -2 (* 1 (* J 1))) (* -1/4 (* 1 (* (/ 1 J) (pow U 2))))) into (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))) 1.915 * [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))) 1.915 * [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 1.915 * [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 1.915 * [taylor]: Taking taylor expansion of -2 in K 1.915 * [backup-simplify]: Simplify -2 into -2 1.915 * [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 1.915 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 1.915 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 1.915 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 1.915 * [taylor]: Taking taylor expansion of 1/4 in K 1.915 * [backup-simplify]: Simplify 1/4 into 1/4 1.915 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 1.915 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.915 * [taylor]: Taking taylor expansion of J in K 1.915 * [backup-simplify]: Simplify J into J 1.915 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 1.915 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.915 * [taylor]: Taking taylor expansion of U in K 1.915 * [backup-simplify]: Simplify U into U 1.915 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 1.915 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.915 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.915 * [taylor]: Taking taylor expansion of 1/2 in K 1.915 * [backup-simplify]: Simplify 1/2 into 1/2 1.915 * [taylor]: Taking taylor expansion of K in K 1.915 * [backup-simplify]: Simplify 0 into 0 1.916 * [backup-simplify]: Simplify 1 into 1 1.916 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.916 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.916 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.916 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.916 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.917 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.917 * [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))) 1.917 * [taylor]: Taking taylor expansion of 1 in K 1.917 * [backup-simplify]: Simplify 1 into 1 1.917 * [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)))) 1.917 * [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) 1.918 * [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)) 1.918 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.918 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.918 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.918 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.919 * [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 1.920 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.920 * [backup-simplify]: Simplify (+ 0 0) into 0 1.921 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 1.921 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.921 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.921 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.921 * [taylor]: Taking taylor expansion of 1/2 in K 1.921 * [backup-simplify]: Simplify 1/2 into 1/2 1.921 * [taylor]: Taking taylor expansion of K in K 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify 1 into 1 1.921 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.922 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.922 * [taylor]: Taking taylor expansion of J in K 1.922 * [backup-simplify]: Simplify J into J 1.922 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.922 * [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 1.922 * [taylor]: Taking taylor expansion of -2 in J 1.922 * [backup-simplify]: Simplify -2 into -2 1.922 * [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 1.922 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 1.922 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 1.922 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 1.922 * [taylor]: Taking taylor expansion of 1/4 in J 1.922 * [backup-simplify]: Simplify 1/4 into 1/4 1.922 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 1.922 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.922 * [taylor]: Taking taylor expansion of J in J 1.922 * [backup-simplify]: Simplify 0 into 0 1.922 * [backup-simplify]: Simplify 1 into 1 1.922 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 1.922 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.922 * [taylor]: Taking taylor expansion of U in J 1.922 * [backup-simplify]: Simplify U into U 1.922 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.922 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.922 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.922 * [taylor]: Taking taylor expansion of 1/2 in J 1.922 * [backup-simplify]: Simplify 1/2 into 1/2 1.922 * [taylor]: Taking taylor expansion of K in J 1.922 * [backup-simplify]: Simplify K into K 1.922 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.923 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.923 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.923 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.923 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.923 * [backup-simplify]: Simplify (- 0) into 0 1.923 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.924 * [backup-simplify]: Simplify (* 1 1) into 1 1.924 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.924 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.924 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.924 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 1.924 * [taylor]: Taking taylor expansion of 1 in J 1.924 * [backup-simplify]: Simplify 1 into 1 1.925 * [backup-simplify]: Simplify (+ 0 1) into 1 1.925 * [backup-simplify]: Simplify (sqrt 1) into 1 1.926 * [backup-simplify]: Simplify (+ 0 0) into 0 1.926 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.926 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.926 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.926 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.926 * [taylor]: Taking taylor expansion of 1/2 in J 1.926 * [backup-simplify]: Simplify 1/2 into 1/2 1.926 * [taylor]: Taking taylor expansion of K in J 1.926 * [backup-simplify]: Simplify K into K 1.926 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.926 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.926 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.926 * [taylor]: Taking taylor expansion of J in J 1.926 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify 1 into 1 1.926 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.926 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.927 * [backup-simplify]: Simplify (- 0) into 0 1.927 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.927 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.927 * [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 1.927 * [taylor]: Taking taylor expansion of -2 in U 1.927 * [backup-simplify]: Simplify -2 into -2 1.927 * [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 1.927 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.927 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.927 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.927 * [taylor]: Taking taylor expansion of 1/4 in U 1.927 * [backup-simplify]: Simplify 1/4 into 1/4 1.927 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.927 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.927 * [taylor]: Taking taylor expansion of J in U 1.927 * [backup-simplify]: Simplify J into J 1.927 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.927 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.927 * [taylor]: Taking taylor expansion of U in U 1.927 * [backup-simplify]: Simplify 0 into 0 1.927 * [backup-simplify]: Simplify 1 into 1 1.927 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.927 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.927 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.927 * [taylor]: Taking taylor expansion of 1/2 in U 1.927 * [backup-simplify]: Simplify 1/2 into 1/2 1.927 * [taylor]: Taking taylor expansion of K in U 1.927 * [backup-simplify]: Simplify K into K 1.927 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.927 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.927 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.927 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.927 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.928 * [backup-simplify]: Simplify (- 0) into 0 1.928 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.928 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.928 * [backup-simplify]: Simplify (* 1 1) into 1 1.928 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.928 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.928 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.928 * [taylor]: Taking taylor expansion of 1 in U 1.928 * [backup-simplify]: Simplify 1 into 1 1.928 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.929 * [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))) 1.929 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.929 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.929 * [backup-simplify]: Simplify (+ 0) into 0 1.929 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.930 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.930 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.930 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.931 * [backup-simplify]: Simplify (- 0) into 0 1.931 * [backup-simplify]: Simplify (+ 0 0) into 0 1.931 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.932 * [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))))) into 0 1.932 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.933 * [backup-simplify]: Simplify (+ 0 0) into 0 1.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.933 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 1.933 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.933 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.933 * [taylor]: Taking taylor expansion of 1/2 in U 1.933 * [backup-simplify]: Simplify 1/2 into 1/2 1.933 * [taylor]: Taking taylor expansion of K in U 1.933 * [backup-simplify]: Simplify K into K 1.933 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.933 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.933 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.933 * [taylor]: Taking taylor expansion of J in U 1.933 * [backup-simplify]: Simplify J into J 1.933 * [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 1.934 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.934 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.934 * [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 1.934 * [taylor]: Taking taylor expansion of -2 in U 1.934 * [backup-simplify]: Simplify -2 into -2 1.934 * [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 1.934 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.934 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.934 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.934 * [taylor]: Taking taylor expansion of 1/4 in U 1.934 * [backup-simplify]: Simplify 1/4 into 1/4 1.934 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.934 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.934 * [taylor]: Taking taylor expansion of J in U 1.934 * [backup-simplify]: Simplify J into J 1.934 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.934 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.934 * [taylor]: Taking taylor expansion of U in U 1.934 * [backup-simplify]: Simplify 0 into 0 1.934 * [backup-simplify]: Simplify 1 into 1 1.934 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.934 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.934 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.934 * [taylor]: Taking taylor expansion of 1/2 in U 1.934 * [backup-simplify]: Simplify 1/2 into 1/2 1.934 * [taylor]: Taking taylor expansion of K in U 1.934 * [backup-simplify]: Simplify K into K 1.934 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.934 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.934 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.934 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.934 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.934 * [backup-simplify]: Simplify (- 0) into 0 1.935 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.935 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.935 * [backup-simplify]: Simplify (* 1 1) into 1 1.935 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.935 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) 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 * [taylor]: Taking taylor expansion of 1 in U 1.935 * [backup-simplify]: Simplify 1 into 1 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 (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.935 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.936 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.936 * [backup-simplify]: Simplify (+ 0) into 0 1.936 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.936 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.937 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.937 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.937 * [backup-simplify]: Simplify (- 0) into 0 1.937 * [backup-simplify]: Simplify (+ 0 0) into 0 1.937 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.938 * [backup-simplify]: 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 1.939 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.939 * [backup-simplify]: Simplify (+ 0 0) into 0 1.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.939 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 1.939 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.939 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.939 * [taylor]: Taking taylor expansion of 1/2 in U 1.939 * [backup-simplify]: Simplify 1/2 into 1/2 1.939 * [taylor]: Taking taylor expansion of K in U 1.939 * [backup-simplify]: Simplify K into K 1.939 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.939 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.939 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.939 * [taylor]: Taking taylor expansion of J in U 1.940 * [backup-simplify]: Simplify J into J 1.940 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.940 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.940 * [backup-simplify]: Simplify (- 0) into 0 1.940 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.940 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.940 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ (cos (/ 1/2 K)) J)) into 1/2 1.940 * [backup-simplify]: Simplify (* -2 1/2) into -1 1.940 * [taylor]: Taking taylor expansion of -1 in J 1.940 * [backup-simplify]: Simplify -1 into -1 1.941 * [backup-simplify]: Simplify (+ 0) into 0 1.941 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.941 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.942 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.942 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.942 * [backup-simplify]: Simplify (- 0) into 0 1.942 * [backup-simplify]: Simplify (+ 0 0) into 0 1.942 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 1.943 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 1.943 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1/2)) into 0 1.943 * [taylor]: Taking taylor expansion of 0 in J 1.943 * [backup-simplify]: Simplify 0 into 0 1.943 * [taylor]: Taking taylor expansion of -1 in K 1.943 * [backup-simplify]: Simplify -1 into -1 1.943 * [backup-simplify]: Simplify -1 into -1 1.944 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.944 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.944 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.945 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.945 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 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)) (* 0 (/ 0 J)))) into 0 1.946 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.946 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.947 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.947 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.947 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.948 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.948 * [backup-simplify]: Simplify (- 0) into 0 1.948 * [backup-simplify]: Simplify (+ 0 0) into 0 1.949 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 1.950 * [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))))) into 0 1.951 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.952 * [backup-simplify]: Simplify (+ 0 1) into 1 1.953 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 1.953 * [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)) 1.954 * [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)))) 1.954 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) in J 1.954 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) in J 1.954 * [taylor]: Taking taylor expansion of 2 in J 1.955 * [backup-simplify]: Simplify 2 into 2 1.955 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) in J 1.955 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.955 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.955 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.955 * [taylor]: Taking taylor expansion of 1/2 in J 1.955 * [backup-simplify]: Simplify 1/2 into 1/2 1.955 * [taylor]: Taking taylor expansion of K in J 1.955 * [backup-simplify]: Simplify K into K 1.955 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.955 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.955 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.955 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.955 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.956 * [backup-simplify]: Simplify (- 0) into 0 1.956 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.956 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.956 * [taylor]: Taking taylor expansion of J in J 1.956 * [backup-simplify]: Simplify 0 into 0 1.956 * [backup-simplify]: Simplify 1 into 1 1.956 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.956 * [backup-simplify]: Simplify (* 1 1) into 1 1.956 * [backup-simplify]: Simplify (/ (pow (cos (/ 1/2 K)) 2) 1) into (pow (cos (/ 1/2 K)) 2) 1.957 * [backup-simplify]: Simplify (+ 0) into 0 1.958 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.958 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.958 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.959 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.959 * [backup-simplify]: Simplify (- 0) into 0 1.960 * [backup-simplify]: Simplify (+ 0 0) into 0 1.960 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)))) into 0 1.962 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.962 * [backup-simplify]: Simplify (- 0) into 0 1.962 * [taylor]: Taking taylor expansion of 0 in K 1.962 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [taylor]: Taking taylor expansion of 0 in K 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [taylor]: Taking taylor expansion of 0 in K 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.965 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.965 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.966 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.967 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 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 (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 1.969 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 1.970 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.971 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.971 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.973 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.974 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.974 * [backup-simplify]: Simplify (- 0) into 0 1.974 * [backup-simplify]: Simplify (+ 0 0) into 0 1.975 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 1.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.978 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.980 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.980 * [backup-simplify]: Simplify (+ 0 0) into 0 1.980 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 1.981 * [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 1.983 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 1.983 * [taylor]: Taking taylor expansion of 0 in J 1.983 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.984 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.984 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.985 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.986 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.986 * [backup-simplify]: Simplify (- 0) into 0 1.986 * [backup-simplify]: Simplify (+ 0 0) into 0 1.987 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ 1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.990 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 1.991 * [backup-simplify]: Simplify (- 0) into 0 1.991 * [taylor]: Taking taylor expansion of 0 in K 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [taylor]: Taking taylor expansion of 0 in K 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify (* -1 (* 1 (* 1 (/ 1 (/ 1 U))))) into (* -1 U) 1.992 * [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)))))))) 1.992 * [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 1.992 * [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 1.992 * [taylor]: Taking taylor expansion of 2 in K 1.992 * [backup-simplify]: Simplify 2 into 2 1.992 * [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 1.992 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.992 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.992 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.992 * [taylor]: Taking taylor expansion of -1/2 in K 1.992 * [backup-simplify]: Simplify -1/2 into -1/2 1.992 * [taylor]: Taking taylor expansion of K in K 1.992 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify 1 into 1 1.993 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.993 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.993 * [taylor]: Taking taylor expansion of J in K 1.993 * [backup-simplify]: Simplify J into J 1.993 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.993 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 1.993 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 1.993 * [taylor]: Taking taylor expansion of 1 in K 1.993 * [backup-simplify]: Simplify 1 into 1 1.993 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 1.993 * [taylor]: Taking taylor expansion of 1/4 in K 1.993 * [backup-simplify]: Simplify 1/4 into 1/4 1.993 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 1.993 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.993 * [taylor]: Taking taylor expansion of J in K 1.993 * [backup-simplify]: Simplify J into J 1.993 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 1.993 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 1.993 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.993 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.993 * [taylor]: Taking taylor expansion of -1/2 in K 1.993 * [backup-simplify]: Simplify -1/2 into -1/2 1.993 * [taylor]: Taking taylor expansion of K in K 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify 1 into 1 1.994 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.994 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.994 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.994 * [taylor]: Taking taylor expansion of U in K 1.994 * [backup-simplify]: Simplify U into U 1.994 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.994 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.994 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.994 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.995 * [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))) 1.995 * [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)))) 1.995 * [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))))) 1.996 * [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)))))) 1.996 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.996 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.996 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.996 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 1.997 * [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 1.997 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 1.998 * [backup-simplify]: Simplify (+ 0 0) into 0 1.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 1.998 * [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 1.998 * [taylor]: Taking taylor expansion of 2 in J 1.998 * [backup-simplify]: Simplify 2 into 2 1.998 * [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 1.998 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.998 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.998 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.999 * [taylor]: Taking taylor expansion of -1/2 in J 1.999 * [backup-simplify]: Simplify -1/2 into -1/2 1.999 * [taylor]: Taking taylor expansion of K in J 1.999 * [backup-simplify]: Simplify K into K 1.999 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.999 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.999 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.999 * [taylor]: Taking taylor expansion of J in J 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify 1 into 1 1.999 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.999 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.999 * [backup-simplify]: Simplify (- 0) into 0 1.999 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.000 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.000 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 2.000 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 2.000 * [taylor]: Taking taylor expansion of 1 in J 2.000 * [backup-simplify]: Simplify 1 into 1 2.000 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 2.000 * [taylor]: Taking taylor expansion of 1/4 in J 2.000 * [backup-simplify]: Simplify 1/4 into 1/4 2.000 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 2.000 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.000 * [taylor]: Taking taylor expansion of J in J 2.000 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify 1 into 1 2.000 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 2.000 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 2.000 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.000 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.000 * [taylor]: Taking taylor expansion of -1/2 in J 2.000 * [backup-simplify]: Simplify -1/2 into -1/2 2.000 * [taylor]: Taking taylor expansion of K in J 2.000 * [backup-simplify]: Simplify K into K 2.000 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.000 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.000 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.000 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.000 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.001 * [backup-simplify]: Simplify (- 0) into 0 2.001 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.001 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.001 * [taylor]: Taking taylor expansion of U in J 2.001 * [backup-simplify]: Simplify U into U 2.001 * [backup-simplify]: Simplify (* 1 1) into 1 2.002 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.002 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.002 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 2.002 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 2.003 * [backup-simplify]: Simplify (+ 1 0) into 1 2.003 * [backup-simplify]: Simplify (sqrt 1) into 1 2.004 * [backup-simplify]: Simplify (+ 0 0) into 0 2.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.005 * [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 2.005 * [taylor]: Taking taylor expansion of 2 in U 2.005 * [backup-simplify]: Simplify 2 into 2 2.005 * [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 2.005 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 2.005 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.005 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.005 * [taylor]: Taking taylor expansion of -1/2 in U 2.005 * [backup-simplify]: Simplify -1/2 into -1/2 2.005 * [taylor]: Taking taylor expansion of K in U 2.005 * [backup-simplify]: Simplify K into K 2.005 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.005 * [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 * [taylor]: Taking taylor expansion of J in U 2.006 * [backup-simplify]: Simplify J into J 2.006 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.006 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.006 * [backup-simplify]: Simplify (- 0) into 0 2.007 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.007 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 2.007 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 2.007 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 2.007 * [taylor]: Taking taylor expansion of 1 in U 2.007 * [backup-simplify]: Simplify 1 into 1 2.007 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 2.007 * [taylor]: Taking taylor expansion of 1/4 in U 2.007 * [backup-simplify]: Simplify 1/4 into 1/4 2.007 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 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 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 2.007 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 2.007 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.007 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.007 * [taylor]: Taking taylor expansion of -1/2 in U 2.007 * [backup-simplify]: Simplify -1/2 into -1/2 2.007 * [taylor]: Taking taylor expansion of K in U 2.007 * [backup-simplify]: Simplify K into K 2.007 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.008 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.008 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.008 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.008 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.008 * [backup-simplify]: Simplify (- 0) into 0 2.008 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.008 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.008 * [taylor]: Taking taylor expansion of U in U 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 1 into 1 2.009 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.009 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.009 * [backup-simplify]: Simplify (* 1 1) into 1 2.009 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 2.010 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 2.010 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2.010 * [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))) 2.010 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 2.010 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.012 * [backup-simplify]: Simplify (+ 0) into 0 2.012 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.012 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.013 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.014 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.014 * [backup-simplify]: Simplify (- 0) into 0 2.014 * [backup-simplify]: Simplify (+ 0 0) into 0 2.014 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.015 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 2.015 * [backup-simplify]: 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 2.018 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 2.019 * [backup-simplify]: Simplify (+ 0 0) into 0 2.019 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 2.019 * [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 2.019 * [taylor]: Taking taylor expansion of 2 in U 2.019 * [backup-simplify]: Simplify 2 into 2 2.019 * [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 2.019 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 2.019 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.019 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.019 * [taylor]: Taking taylor expansion of -1/2 in U 2.020 * [backup-simplify]: Simplify -1/2 into -1/2 2.020 * [taylor]: Taking taylor expansion of K in U 2.020 * [backup-simplify]: Simplify K into K 2.020 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.020 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.020 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.020 * [taylor]: Taking taylor expansion of J in U 2.020 * [backup-simplify]: Simplify J into J 2.020 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.020 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.020 * [backup-simplify]: Simplify (- 0) into 0 2.020 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.021 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 2.021 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 2.021 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 2.021 * [taylor]: Taking taylor expansion of 1 in U 2.021 * [backup-simplify]: Simplify 1 into 1 2.021 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 2.021 * [taylor]: Taking taylor expansion of 1/4 in U 2.021 * [backup-simplify]: Simplify 1/4 into 1/4 2.021 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 2.021 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.021 * [taylor]: Taking taylor expansion of J in U 2.021 * [backup-simplify]: Simplify J into J 2.021 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 2.021 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 2.021 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.021 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.021 * [taylor]: Taking taylor expansion of -1/2 in U 2.021 * [backup-simplify]: Simplify -1/2 into -1/2 2.021 * [taylor]: Taking taylor expansion of K in U 2.021 * [backup-simplify]: Simplify K into K 2.021 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.021 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.021 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.021 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.021 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.022 * [backup-simplify]: Simplify (- 0) into 0 2.022 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.022 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.022 * [taylor]: Taking taylor expansion of U in U 2.022 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify 1 into 1 2.022 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.022 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.023 * [backup-simplify]: Simplify (* 1 1) into 1 2.023 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 2.023 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 2.023 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2.023 * [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))) 2.024 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 2.024 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.025 * [backup-simplify]: Simplify (+ 0) into 0 2.025 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.025 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.026 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.027 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.027 * [backup-simplify]: Simplify (- 0) into 0 2.027 * [backup-simplify]: Simplify (+ 0 0) into 0 2.027 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.028 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 2.028 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 2.029 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 2.029 * [backup-simplify]: Simplify (+ 0 0) into 0 2.030 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 2.030 * [backup-simplify]: Simplify (* (/ (cos (/ -1/2 K)) J) (* 1/2 (/ J (cos (/ -1/2 K))))) into 1/2 2.030 * [backup-simplify]: Simplify (* 2 1/2) into 1 2.030 * [taylor]: Taking taylor expansion of 1 in J 2.030 * [backup-simplify]: Simplify 1 into 1 2.031 * [backup-simplify]: Simplify (+ 0) into 0 2.031 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.031 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.032 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.033 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.033 * [backup-simplify]: Simplify (- 0) into 0 2.034 * [backup-simplify]: Simplify (+ 0 0) into 0 2.034 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 2.034 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1/2 K)) J) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 2.034 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1/2)) into 0 2.034 * [taylor]: Taking taylor expansion of 0 in J 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [taylor]: Taking taylor expansion of 1 in K 2.034 * [backup-simplify]: Simplify 1 into 1 2.034 * [backup-simplify]: Simplify 1 into 1 2.035 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.036 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.036 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.036 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.037 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.037 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.037 * [backup-simplify]: Simplify (- 0) into 0 2.038 * [backup-simplify]: Simplify (+ 0 0) into 0 2.038 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 2.038 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 2.039 * [backup-simplify]: 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 2.039 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 2.040 * [backup-simplify]: Simplify (+ 1 0) into 1 2.040 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 2.041 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.041 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.041 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.042 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.042 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.042 * [backup-simplify]: Simplify (- 0) into 0 2.042 * [backup-simplify]: Simplify (+ 0 0) into 0 2.043 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 2.043 * [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)) 2.043 * [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))) 2.044 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) in J 2.044 * [taylor]: Taking taylor expansion of 2 in J 2.044 * [backup-simplify]: Simplify 2 into 2 2.044 * [taylor]: Taking taylor expansion of (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) in J 2.044 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 2.044 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.044 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.044 * [taylor]: Taking taylor expansion of -1/2 in J 2.044 * [backup-simplify]: Simplify -1/2 into -1/2 2.044 * [taylor]: Taking taylor expansion of K in J 2.044 * [backup-simplify]: Simplify K into K 2.044 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.044 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.044 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.044 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.044 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.044 * [backup-simplify]: Simplify (- 0) into 0 2.044 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.044 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.044 * [taylor]: Taking taylor expansion of J in J 2.044 * [backup-simplify]: Simplify 0 into 0 2.044 * [backup-simplify]: Simplify 1 into 1 2.044 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.045 * [backup-simplify]: Simplify (* 1 1) into 1 2.045 * [backup-simplify]: Simplify (/ (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 2.045 * [backup-simplify]: Simplify (+ 0) into 0 2.045 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.045 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.046 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.046 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.046 * [backup-simplify]: Simplify (- 0) into 0 2.047 * [backup-simplify]: Simplify (+ 0 0) into 0 2.047 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)))) into 0 2.048 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (/ -1/2 K)) 2))) into 0 2.048 * [taylor]: Taking taylor expansion of 0 in K 2.048 * [backup-simplify]: Simplify 0 into 0 2.048 * [backup-simplify]: Simplify 0 into 0 2.048 * [taylor]: Taking taylor expansion of 0 in K 2.048 * [backup-simplify]: Simplify 0 into 0 2.048 * [backup-simplify]: Simplify 0 into 0 2.048 * [taylor]: Taking taylor expansion of 0 in K 2.048 * [backup-simplify]: Simplify 0 into 0 2.048 * [backup-simplify]: Simplify 0 into 0 2.048 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 2.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.050 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.051 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.051 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.052 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.052 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.053 * [backup-simplify]: Simplify (- 0) into 0 2.053 * [backup-simplify]: Simplify (+ 0 0) into 0 2.053 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 2.054 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.054 * [backup-simplify]: 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 2.055 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 2.055 * [backup-simplify]: Simplify (+ 0 0) into 0 2.055 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 2.056 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.057 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.057 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.058 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.058 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.058 * [backup-simplify]: Simplify (- 0) into 0 2.059 * [backup-simplify]: Simplify (+ 0 0) into 0 2.059 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 2.059 * [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 2.060 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) (+ (* 0 0) (* 0 1/2)))) into 0 2.060 * [taylor]: Taking taylor expansion of 0 in J 2.060 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.061 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.061 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.062 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.062 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.062 * [backup-simplify]: Simplify (- 0) into 0 2.062 * [backup-simplify]: Simplify (+ 0 0) into 0 2.063 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 2.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (/ -1/2 K)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.066 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 2)))) into 0 2.066 * [taylor]: Taking taylor expansion of 0 in K 2.066 * [backup-simplify]: Simplify 0 into 0 2.066 * [backup-simplify]: Simplify 0 into 0 2.066 * [taylor]: Taking taylor expansion of 0 in K 2.066 * [backup-simplify]: Simplify 0 into 0 2.066 * [backup-simplify]: Simplify 0 into 0 2.066 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- U)))))) into (* -1 U) 2.066 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 2.066 * [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)))) 2.066 * [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 2.066 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 2.066 * [taylor]: Taking taylor expansion of 1/4 in K 2.066 * [backup-simplify]: Simplify 1/4 into 1/4 2.066 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 2.066 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.066 * [taylor]: Taking taylor expansion of U in K 2.066 * [backup-simplify]: Simplify U into U 2.066 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 2.066 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 2.066 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.066 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.066 * [taylor]: Taking taylor expansion of 1/2 in K 2.066 * [backup-simplify]: Simplify 1/2 into 1/2 2.066 * [taylor]: Taking taylor expansion of K in K 2.066 * [backup-simplify]: Simplify 0 into 0 2.066 * [backup-simplify]: Simplify 1 into 1 2.067 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.067 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.067 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.067 * [taylor]: Taking taylor expansion of J in K 2.067 * [backup-simplify]: Simplify J into J 2.067 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.067 * [backup-simplify]: Simplify (* 1 1) into 1 2.067 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.067 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 2.068 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 2.068 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 2.068 * [taylor]: Taking taylor expansion of 1/4 in J 2.068 * [backup-simplify]: Simplify 1/4 into 1/4 2.068 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 2.068 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.068 * [taylor]: Taking taylor expansion of U in J 2.068 * [backup-simplify]: Simplify U into U 2.068 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 2.068 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 2.068 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.068 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.068 * [taylor]: Taking taylor expansion of 1/2 in J 2.068 * [backup-simplify]: Simplify 1/2 into 1/2 2.068 * [taylor]: Taking taylor expansion of K in J 2.068 * [backup-simplify]: Simplify K into K 2.068 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.068 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.068 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.068 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.068 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.068 * [backup-simplify]: Simplify (- 0) into 0 2.068 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.068 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.068 * [taylor]: Taking taylor expansion of J in J 2.068 * [backup-simplify]: Simplify 0 into 0 2.068 * [backup-simplify]: Simplify 1 into 1 2.068 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.068 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.069 * [backup-simplify]: Simplify (* 1 1) into 1 2.069 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 2.069 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 2.069 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 2.069 * [taylor]: Taking taylor expansion of 1/4 in U 2.069 * [backup-simplify]: Simplify 1/4 into 1/4 2.069 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 2.069 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.069 * [taylor]: Taking taylor expansion of U in U 2.069 * [backup-simplify]: Simplify 0 into 0 2.069 * [backup-simplify]: Simplify 1 into 1 2.069 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 2.069 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 2.069 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 2.069 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 2.069 * [taylor]: Taking taylor expansion of 1/2 in U 2.069 * [backup-simplify]: Simplify 1/2 into 1/2 2.069 * [taylor]: Taking taylor expansion of K in U 2.069 * [backup-simplify]: Simplify K into K 2.069 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.069 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.069 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.069 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.069 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.070 * [backup-simplify]: Simplify (- 0) into 0 2.070 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.070 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.070 * [taylor]: Taking taylor expansion of J in U 2.070 * [backup-simplify]: Simplify J into J 2.070 * [backup-simplify]: Simplify (* 1 1) into 1 2.070 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.070 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.070 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 2.070 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 2.070 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 2.070 * [taylor]: Taking taylor expansion of 1/4 in U 2.070 * [backup-simplify]: Simplify 1/4 into 1/4 2.070 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 2.070 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.070 * [taylor]: Taking taylor expansion of U in U 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify 1 into 1 2.070 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 2.071 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 2.071 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 2.071 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 2.071 * [taylor]: Taking taylor expansion of 1/2 in U 2.071 * [backup-simplify]: Simplify 1/2 into 1/2 2.071 * [taylor]: Taking taylor expansion of K in U 2.071 * [backup-simplify]: Simplify K into K 2.071 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.071 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.071 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.071 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.071 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.071 * [backup-simplify]: Simplify (- 0) into 0 2.071 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.071 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.071 * [taylor]: Taking taylor expansion of J in U 2.071 * [backup-simplify]: Simplify J into J 2.071 * [backup-simplify]: Simplify (* 1 1) into 1 2.071 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.072 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.072 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 2.072 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 2.072 * [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))) 2.072 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 2.072 * [taylor]: Taking taylor expansion of 1/4 in J 2.072 * [backup-simplify]: Simplify 1/4 into 1/4 2.072 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 2.072 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 2.072 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.072 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.072 * [taylor]: Taking taylor expansion of 1/2 in J 2.072 * [backup-simplify]: Simplify 1/2 into 1/2 2.072 * [taylor]: Taking taylor expansion of K in J 2.072 * [backup-simplify]: Simplify K into K 2.072 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.072 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.072 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.072 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.072 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.073 * [backup-simplify]: Simplify (- 0) into 0 2.073 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.073 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.073 * [taylor]: Taking taylor expansion of J in J 2.073 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify 1 into 1 2.073 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 2.073 * [backup-simplify]: Simplify (* 1 1) into 1 2.073 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 2.073 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (* 1/2 K)) 2)) into (/ 1/4 (pow (cos (* 1/2 K)) 2)) 2.073 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (* 1/2 K)) 2)) in K 2.073 * [taylor]: Taking taylor expansion of 1/4 in K 2.073 * [backup-simplify]: Simplify 1/4 into 1/4 2.073 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 2.073 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.073 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.073 * [taylor]: Taking taylor expansion of 1/2 in K 2.073 * [backup-simplify]: Simplify 1/2 into 1/2 2.073 * [taylor]: Taking taylor expansion of K in K 2.073 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify 1 into 1 2.074 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.074 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.075 * [backup-simplify]: Simplify (* 1 1) into 1 2.075 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 2.075 * [backup-simplify]: Simplify 1/4 into 1/4 2.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.076 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.076 * [backup-simplify]: Simplify (+ 0) into 0 2.077 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.077 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.078 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.079 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.079 * [backup-simplify]: Simplify (- 0) into 0 2.079 * [backup-simplify]: Simplify (+ 0 0) into 0 2.080 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 2.080 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 2.080 * [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 2.081 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 2.081 * [taylor]: Taking taylor expansion of 0 in J 2.081 * [backup-simplify]: Simplify 0 into 0 2.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.082 * [backup-simplify]: Simplify (+ 0) into 0 2.083 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.083 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.084 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.084 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.085 * [backup-simplify]: Simplify (- 0) into 0 2.085 * [backup-simplify]: Simplify (+ 0 0) into 0 2.085 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 2.086 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 2.086 * [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 2.086 * [taylor]: Taking taylor expansion of 0 in K 2.086 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify (+ 0) into 0 2.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 2.088 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.089 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.090 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.091 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.092 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 2.093 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.093 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.094 * [backup-simplify]: Simplify (- 0) into 0 2.094 * [backup-simplify]: Simplify (+ 0 0) into 0 2.095 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 2.095 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0 2.096 * [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 2.097 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 2.097 * [taylor]: Taking taylor expansion of 0 in J 2.097 * [backup-simplify]: Simplify 0 into 0 2.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.099 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.100 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.100 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 2.101 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.102 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.102 * [backup-simplify]: Simplify (- 0) into 0 2.102 * [backup-simplify]: Simplify (+ 0 0) into 0 2.103 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 2.104 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 2.104 * [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 2.104 * [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 0 into 0 2.105 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 2.106 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4 2.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ -1/4 1)) (* 0 (/ 0 1)))) into 1/16 2.108 * [backup-simplify]: Simplify 1/16 into 1/16 2.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.109 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 2.110 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.111 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.112 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 2.114 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.115 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.115 * [backup-simplify]: Simplify (- 0) into 0 2.115 * [backup-simplify]: Simplify (+ 0 0) into 0 2.116 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 2.117 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0 2.118 * [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 2.119 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) into 0 2.119 * [taylor]: Taking taylor expansion of 0 in J 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [taylor]: Taking taylor expansion of 0 in K 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify 0 into 0 2.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.121 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.122 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.124 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 2.125 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.126 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.126 * [backup-simplify]: Simplify (- 0) into 0 2.126 * [backup-simplify]: Simplify (+ 0 0) into 0 2.127 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 2.128 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.129 * [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 2.129 * [taylor]: Taking taylor expansion of 0 in K 2.129 * [backup-simplify]: Simplify 0 into 0 2.129 * [backup-simplify]: Simplify 0 into 0 2.129 * [backup-simplify]: Simplify 0 into 0 2.129 * [backup-simplify]: Simplify 0 into 0 2.130 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 2.132 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0 2.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ -1/4 1)) (* 1/16 (/ 0 1)))) into 0 2.135 * [backup-simplify]: Simplify 0 into 0 2.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.140 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 2.142 * [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 2.142 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.144 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 2.145 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.145 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 2.145 * [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 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0 2.147 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2)))))) into 0 2.148 * [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 2.149 * [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 2.149 * [taylor]: Taking taylor expansion of 0 in J 2.149 * [backup-simplify]: Simplify 0 into 0 2.149 * [taylor]: Taking taylor expansion of 0 in K 2.149 * [backup-simplify]: Simplify 0 into 0 2.149 * [backup-simplify]: Simplify 0 into 0 2.149 * [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)))) 2.150 * [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)))) 2.150 * [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 2.150 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 2.150 * [taylor]: Taking taylor expansion of 1/4 in K 2.150 * [backup-simplify]: Simplify 1/4 into 1/4 2.150 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 2.150 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.150 * [taylor]: Taking taylor expansion of J in K 2.150 * [backup-simplify]: Simplify J into J 2.150 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 2.150 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.150 * [taylor]: Taking taylor expansion of U in K 2.150 * [backup-simplify]: Simplify U into U 2.150 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 2.150 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.150 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.150 * [taylor]: Taking taylor expansion of 1/2 in K 2.150 * [backup-simplify]: Simplify 1/2 into 1/2 2.150 * [taylor]: Taking taylor expansion of K in K 2.150 * [backup-simplify]: Simplify 0 into 0 2.150 * [backup-simplify]: Simplify 1 into 1 2.150 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.150 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.150 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.150 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.150 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.151 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 2.151 * [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))) 2.151 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 2.151 * [taylor]: Taking taylor expansion of 1/4 in J 2.151 * [backup-simplify]: Simplify 1/4 into 1/4 2.151 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 2.151 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.151 * [taylor]: Taking taylor expansion of J in J 2.151 * [backup-simplify]: Simplify 0 into 0 2.151 * [backup-simplify]: Simplify 1 into 1 2.151 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 2.151 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.151 * [taylor]: Taking taylor expansion of U in J 2.151 * [backup-simplify]: Simplify U into U 2.151 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 2.151 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.151 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.151 * [taylor]: Taking taylor expansion of 1/2 in J 2.151 * [backup-simplify]: Simplify 1/2 into 1/2 2.151 * [taylor]: Taking taylor expansion of K in J 2.151 * [backup-simplify]: Simplify K into K 2.151 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.151 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.151 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.151 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.151 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.151 * [backup-simplify]: Simplify (- 0) into 0 2.152 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.152 * [backup-simplify]: Simplify (* 1 1) into 1 2.152 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.152 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.152 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 2.152 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 2.152 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 2.152 * [taylor]: Taking taylor expansion of 1/4 in U 2.152 * [backup-simplify]: Simplify 1/4 into 1/4 2.152 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 2.152 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.152 * [taylor]: Taking taylor expansion of J in U 2.152 * [backup-simplify]: Simplify J into J 2.152 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 2.152 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.152 * [taylor]: Taking taylor expansion of U in U 2.152 * [backup-simplify]: Simplify 0 into 0 2.152 * [backup-simplify]: Simplify 1 into 1 2.152 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 2.152 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.152 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.152 * [taylor]: Taking taylor expansion of 1/2 in U 2.153 * [backup-simplify]: Simplify 1/2 into 1/2 2.153 * [taylor]: Taking taylor expansion of K in U 2.153 * [backup-simplify]: Simplify K into K 2.153 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.153 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.153 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.153 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.153 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.153 * [backup-simplify]: Simplify (- 0) into 0 2.153 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.153 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.153 * [backup-simplify]: Simplify (* 1 1) into 1 2.153 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.154 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 2.154 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 2.154 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 2.154 * [taylor]: Taking taylor expansion of 1/4 in U 2.154 * [backup-simplify]: Simplify 1/4 into 1/4 2.154 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 2.154 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.154 * [taylor]: Taking taylor expansion of J in U 2.154 * [backup-simplify]: Simplify J into J 2.154 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 2.154 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.154 * [taylor]: Taking taylor expansion of U in U 2.154 * [backup-simplify]: Simplify 0 into 0 2.154 * [backup-simplify]: Simplify 1 into 1 2.154 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 2.154 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.154 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.154 * [taylor]: Taking taylor expansion of 1/2 in U 2.154 * [backup-simplify]: Simplify 1/2 into 1/2 2.154 * [taylor]: Taking taylor expansion of K in U 2.154 * [backup-simplify]: Simplify K into K 2.154 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.154 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.154 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.154 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.154 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.154 * [backup-simplify]: Simplify (- 0) into 0 2.155 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.155 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.155 * [backup-simplify]: Simplify (* 1 1) into 1 2.155 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.155 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 2.155 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 2.155 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2.155 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 2.155 * [taylor]: Taking taylor expansion of 1/4 in J 2.155 * [backup-simplify]: Simplify 1/4 into 1/4 2.155 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 2.155 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.155 * [taylor]: Taking taylor expansion of J in J 2.155 * [backup-simplify]: Simplify 0 into 0 2.155 * [backup-simplify]: Simplify 1 into 1 2.155 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 2.155 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.155 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.155 * [taylor]: Taking taylor expansion of 1/2 in J 2.155 * [backup-simplify]: Simplify 1/2 into 1/2 2.155 * [taylor]: Taking taylor expansion of K in J 2.155 * [backup-simplify]: Simplify K into K 2.155 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.156 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.156 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.156 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.156 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.156 * [backup-simplify]: Simplify (- 0) into 0 2.156 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.156 * [backup-simplify]: Simplify (* 1 1) into 1 2.156 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.156 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 2.156 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2.156 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K 2.157 * [taylor]: Taking taylor expansion of 1/4 in K 2.157 * [backup-simplify]: Simplify 1/4 into 1/4 2.157 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 2.157 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.157 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.157 * [taylor]: Taking taylor expansion of 1/2 in K 2.157 * [backup-simplify]: Simplify 1/2 into 1/2 2.157 * [taylor]: Taking taylor expansion of K in K 2.157 * [backup-simplify]: Simplify 0 into 0 2.157 * [backup-simplify]: Simplify 1 into 1 2.157 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.157 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.157 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.157 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2.157 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2.157 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.158 * [backup-simplify]: Simplify (+ 0) into 0 2.158 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.158 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.158 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.159 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.159 * [backup-simplify]: Simplify (- 0) into 0 2.159 * [backup-simplify]: Simplify (+ 0 0) into 0 2.159 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 2.160 * [backup-simplify]: 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 2.161 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 2.161 * [taylor]: Taking taylor expansion of 0 in J 2.161 * [backup-simplify]: Simplify 0 into 0 2.161 * [taylor]: Taking taylor expansion of 0 in K 2.161 * [backup-simplify]: Simplify 0 into 0 2.161 * [backup-simplify]: Simplify 0 into 0 2.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.161 * [backup-simplify]: Simplify (+ 0) into 0 2.162 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.162 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.162 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.163 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.163 * [backup-simplify]: Simplify (- 0) into 0 2.163 * [backup-simplify]: Simplify (+ 0 0) into 0 2.163 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.163 * [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 2.164 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 2.164 * [taylor]: Taking taylor expansion of 0 in K 2.164 * [backup-simplify]: Simplify 0 into 0 2.164 * [backup-simplify]: Simplify 0 into 0 2.164 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.164 * [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 2.164 * [backup-simplify]: Simplify 0 into 0 2.164 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.165 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.165 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.165 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.166 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.166 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.166 * [backup-simplify]: Simplify (- 0) into 0 2.167 * [backup-simplify]: Simplify (+ 0 0) into 0 2.167 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 2.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 2.168 * [backup-simplify]: 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 2.169 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 2.169 * [taylor]: Taking taylor expansion of 0 in J 2.169 * [backup-simplify]: Simplify 0 into 0 2.169 * [taylor]: Taking taylor expansion of 0 in K 2.169 * [backup-simplify]: Simplify 0 into 0 2.169 * [backup-simplify]: Simplify 0 into 0 2.169 * [taylor]: Taking taylor expansion of 0 in K 2.169 * [backup-simplify]: Simplify 0 into 0 2.169 * [backup-simplify]: Simplify 0 into 0 2.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.170 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.171 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.171 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.171 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.172 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.172 * [backup-simplify]: Simplify (- 0) into 0 2.172 * [backup-simplify]: Simplify (+ 0 0) into 0 2.172 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 2.173 * [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 2.173 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 2.173 * [taylor]: Taking taylor expansion of 0 in K 2.173 * [backup-simplify]: Simplify 0 into 0 2.173 * [backup-simplify]: Simplify 0 into 0 2.173 * [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)))) 2.174 * [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)))) 2.174 * [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 2.174 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 2.174 * [taylor]: Taking taylor expansion of 1/4 in K 2.174 * [backup-simplify]: Simplify 1/4 into 1/4 2.174 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 2.174 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.174 * [taylor]: Taking taylor expansion of J in K 2.174 * [backup-simplify]: Simplify J into J 2.174 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 2.174 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 2.174 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.174 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.175 * [taylor]: Taking taylor expansion of -1/2 in K 2.175 * [backup-simplify]: Simplify -1/2 into -1/2 2.175 * [taylor]: Taking taylor expansion of K in K 2.175 * [backup-simplify]: Simplify 0 into 0 2.175 * [backup-simplify]: Simplify 1 into 1 2.175 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.175 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.175 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.175 * [taylor]: Taking taylor expansion of U in K 2.175 * [backup-simplify]: Simplify U into U 2.175 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.175 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.176 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.176 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 2.176 * [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))) 2.176 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 2.176 * [taylor]: Taking taylor expansion of 1/4 in J 2.176 * [backup-simplify]: Simplify 1/4 into 1/4 2.176 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 2.176 * [taylor]: Taking taylor expansion of (pow J 2) in J 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 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 2.176 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) 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) 2.177 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.177 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.177 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.177 * [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 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.177 * [taylor]: Taking taylor expansion of U in J 2.177 * [backup-simplify]: Simplify U into U 2.178 * [backup-simplify]: Simplify (* 1 1) into 1 2.178 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.178 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.178 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 2.178 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 2.179 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 2.179 * [taylor]: Taking taylor expansion of 1/4 in U 2.179 * [backup-simplify]: Simplify 1/4 into 1/4 2.179 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 2.179 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.179 * [taylor]: Taking taylor expansion of J in U 2.179 * [backup-simplify]: Simplify J into J 2.179 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 2.179 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 2.179 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.179 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.179 * [taylor]: Taking taylor expansion of -1/2 in U 2.179 * [backup-simplify]: Simplify -1/2 into -1/2 2.179 * [taylor]: Taking taylor expansion of K in U 2.179 * [backup-simplify]: Simplify K into K 2.179 * [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 * [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 2.180 * [backup-simplify]: Simplify (- 0) into 0 2.180 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.180 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.180 * [taylor]: Taking taylor expansion of U in U 2.180 * [backup-simplify]: Simplify 0 into 0 2.180 * [backup-simplify]: Simplify 1 into 1 2.180 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.180 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.181 * [backup-simplify]: Simplify (* 1 1) into 1 2.181 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 2.181 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 2.181 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 2.181 * [taylor]: Taking taylor expansion of 1/4 in U 2.181 * [backup-simplify]: Simplify 1/4 into 1/4 2.181 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 2.181 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.181 * [taylor]: Taking taylor expansion of J in U 2.181 * [backup-simplify]: Simplify J into J 2.181 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 2.181 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 2.181 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.182 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.182 * [taylor]: Taking taylor expansion of -1/2 in U 2.182 * [backup-simplify]: Simplify -1/2 into -1/2 2.182 * [taylor]: Taking taylor expansion of K in U 2.182 * [backup-simplify]: Simplify K into K 2.182 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.182 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.182 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.182 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.182 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.182 * [backup-simplify]: Simplify (- 0) into 0 2.182 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.183 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.183 * [taylor]: Taking taylor expansion of U in U 2.183 * [backup-simplify]: Simplify 0 into 0 2.183 * [backup-simplify]: Simplify 1 into 1 2.183 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.183 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.183 * [backup-simplify]: Simplify (* 1 1) into 1 2.183 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 2.184 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 2.184 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2.184 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 2.184 * [taylor]: Taking taylor expansion of 1/4 in J 2.184 * [backup-simplify]: Simplify 1/4 into 1/4 2.184 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 2.184 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.184 * [taylor]: Taking taylor expansion of J in J 2.184 * [backup-simplify]: Simplify 0 into 0 2.184 * [backup-simplify]: Simplify 1 into 1 2.184 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 2.184 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.184 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.184 * [taylor]: Taking taylor expansion of -1/2 in J 2.184 * [backup-simplify]: Simplify -1/2 into -1/2 2.184 * [taylor]: Taking taylor expansion of K in J 2.184 * [backup-simplify]: Simplify K into K 2.184 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.184 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.184 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.185 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.185 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.185 * [backup-simplify]: Simplify (- 0) into 0 2.185 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.186 * [backup-simplify]: Simplify (* 1 1) into 1 2.186 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.186 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 2.186 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2.186 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K 2.186 * [taylor]: Taking taylor expansion of 1/4 in K 2.186 * [backup-simplify]: Simplify 1/4 into 1/4 2.186 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 2.186 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.186 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.186 * [taylor]: Taking taylor expansion of -1/2 in K 2.186 * [backup-simplify]: Simplify -1/2 into -1/2 2.186 * [taylor]: Taking taylor expansion of K in K 2.186 * [backup-simplify]: Simplify 0 into 0 2.186 * [backup-simplify]: Simplify 1 into 1 2.187 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.187 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.187 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.187 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2.187 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2.187 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.189 * [backup-simplify]: Simplify (+ 0) into 0 2.189 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.189 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.190 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.191 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.191 * [backup-simplify]: Simplify (- 0) into 0 2.191 * [backup-simplify]: Simplify (+ 0 0) into 0 2.192 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.192 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 2.193 * [backup-simplify]: 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 2.193 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 2.194 * [taylor]: Taking taylor expansion of 0 in J 2.194 * [backup-simplify]: Simplify 0 into 0 2.194 * [taylor]: Taking taylor expansion of 0 in K 2.194 * [backup-simplify]: Simplify 0 into 0 2.194 * [backup-simplify]: Simplify 0 into 0 2.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.195 * [backup-simplify]: Simplify (+ 0) into 0 2.196 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.196 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.197 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.197 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.197 * [backup-simplify]: Simplify (- 0) into 0 2.198 * [backup-simplify]: Simplify (+ 0 0) into 0 2.198 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.198 * [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 2.199 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 2.199 * [taylor]: Taking taylor expansion of 0 in K 2.199 * [backup-simplify]: Simplify 0 into 0 2.199 * [backup-simplify]: Simplify 0 into 0 2.199 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.200 * [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 2.200 * [backup-simplify]: Simplify 0 into 0 2.200 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.202 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.203 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.203 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.204 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.205 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.205 * [backup-simplify]: Simplify (- 0) into 0 2.206 * [backup-simplify]: Simplify (+ 0 0) into 0 2.207 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 2.207 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 2.208 * [backup-simplify]: 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 2.209 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 2.209 * [taylor]: Taking taylor expansion of 0 in J 2.209 * [backup-simplify]: Simplify 0 into 0 2.209 * [taylor]: Taking taylor expansion of 0 in K 2.209 * [backup-simplify]: Simplify 0 into 0 2.209 * [backup-simplify]: Simplify 0 into 0 2.209 * [taylor]: Taking taylor expansion of 0 in K 2.209 * [backup-simplify]: Simplify 0 into 0 2.209 * [backup-simplify]: Simplify 0 into 0 2.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.210 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.211 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.211 * [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 2.212 * [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 (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 2.213 * [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 2.213 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 2.213 * [taylor]: Taking taylor expansion of 0 in K 2.213 * [backup-simplify]: Simplify 0 into 0 2.213 * [backup-simplify]: Simplify 0 into 0 2.214 * [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)))) 2.214 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 2.214 * [backup-simplify]: Simplify (* (cos (/ K 2)) (* -2 J)) into (* -2 (* (cos (* 1/2 K)) J)) 2.214 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in (K J) around 0 2.214 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J 2.214 * [taylor]: Taking taylor expansion of -2 in J 2.214 * [backup-simplify]: Simplify -2 into -2 2.214 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 2.214 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.214 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.214 * [taylor]: Taking taylor expansion of 1/2 in J 2.214 * [backup-simplify]: Simplify 1/2 into 1/2 2.214 * [taylor]: Taking taylor expansion of K in J 2.214 * [backup-simplify]: Simplify K into K 2.214 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.214 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.214 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.214 * [taylor]: Taking taylor expansion of J in J 2.214 * [backup-simplify]: Simplify 0 into 0 2.214 * [backup-simplify]: Simplify 1 into 1 2.214 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 2.214 * [taylor]: Taking taylor expansion of -2 in K 2.214 * [backup-simplify]: Simplify -2 into -2 2.214 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 2.214 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.214 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.214 * [taylor]: Taking taylor expansion of 1/2 in K 2.214 * [backup-simplify]: Simplify 1/2 into 1/2 2.214 * [taylor]: Taking taylor expansion of K in K 2.214 * [backup-simplify]: Simplify 0 into 0 2.214 * [backup-simplify]: Simplify 1 into 1 2.215 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.215 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.215 * [taylor]: Taking taylor expansion of J in K 2.215 * [backup-simplify]: Simplify J into J 2.215 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K 2.215 * [taylor]: Taking taylor expansion of -2 in K 2.215 * [backup-simplify]: Simplify -2 into -2 2.215 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 2.215 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.215 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.215 * [taylor]: Taking taylor expansion of 1/2 in K 2.215 * [backup-simplify]: Simplify 1/2 into 1/2 2.215 * [taylor]: Taking taylor expansion of K in K 2.215 * [backup-simplify]: Simplify 0 into 0 2.215 * [backup-simplify]: Simplify 1 into 1 2.215 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.216 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.216 * [taylor]: Taking taylor expansion of J in K 2.216 * [backup-simplify]: Simplify J into J 2.216 * [backup-simplify]: Simplify (* 1 J) into J 2.216 * [backup-simplify]: Simplify (* -2 J) into (* -2 J) 2.216 * [taylor]: Taking taylor expansion of (* -2 J) in J 2.216 * [taylor]: Taking taylor expansion of -2 in J 2.216 * [backup-simplify]: Simplify -2 into -2 2.216 * [taylor]: Taking taylor expansion of J in J 2.216 * [backup-simplify]: Simplify 0 into 0 2.216 * [backup-simplify]: Simplify 1 into 1 2.216 * [backup-simplify]: Simplify (* -2 0) into 0 2.216 * [backup-simplify]: Simplify 0 into 0 2.217 * [backup-simplify]: Simplify (+ 0) into 0 2.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 2.217 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 J)) into 0 2.217 * [taylor]: Taking taylor expansion of 0 in J 2.217 * [backup-simplify]: Simplify 0 into 0 2.217 * [backup-simplify]: Simplify 0 into 0 2.218 * [backup-simplify]: Simplify (+ (* -2 1) (* 0 0)) into -2 2.218 * [backup-simplify]: Simplify -2 into -2 2.218 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 2.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 2.219 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))) into (* 1/4 J) 2.219 * [taylor]: Taking taylor expansion of (* 1/4 J) in J 2.219 * [taylor]: Taking taylor expansion of 1/4 in J 2.219 * [backup-simplify]: Simplify 1/4 into 1/4 2.219 * [taylor]: Taking taylor expansion of J in J 2.219 * [backup-simplify]: Simplify 0 into 0 2.219 * [backup-simplify]: Simplify 1 into 1 2.220 * [backup-simplify]: Simplify (* 1/4 0) into 0 2.220 * [backup-simplify]: Simplify 0 into 0 2.220 * [backup-simplify]: Simplify 0 into 0 2.220 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 2.220 * [backup-simplify]: Simplify 0 into 0 2.221 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 2.222 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 2.223 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J)))) into 0 2.223 * [taylor]: Taking taylor expansion of 0 in J 2.223 * [backup-simplify]: Simplify 0 into 0 2.223 * [backup-simplify]: Simplify 0 into 0 2.223 * [backup-simplify]: Simplify (+ (* 1/4 1) (* 0 0)) into 1/4 2.223 * [backup-simplify]: Simplify 1/4 into 1/4 2.223 * [backup-simplify]: Simplify 0 into 0 2.224 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.224 * [backup-simplify]: Simplify 0 into 0 2.225 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.226 * [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 2.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (+ (* 0 0) (* 1/384 J))))) into (* 1/384 J) 2.228 * [backup-simplify]: Simplify (+ (* -2 (* 1/384 J)) (+ (* 0 0) (+ (* 0 (- (* 1/8 J))) (+ (* 0 0) (* 0 J))))) into (- (* 1/192 J)) 2.228 * [taylor]: Taking taylor expansion of (- (* 1/192 J)) in J 2.228 * [taylor]: Taking taylor expansion of (* 1/192 J) in J 2.228 * [taylor]: Taking taylor expansion of 1/192 in J 2.228 * [backup-simplify]: Simplify 1/192 into 1/192 2.228 * [taylor]: Taking taylor expansion of J in J 2.228 * [backup-simplify]: Simplify 0 into 0 2.228 * [backup-simplify]: Simplify 1 into 1 2.228 * [backup-simplify]: Simplify (* 1/192 0) into 0 2.229 * [backup-simplify]: Simplify (- 0) into 0 2.229 * [backup-simplify]: Simplify 0 into 0 2.229 * [backup-simplify]: Simplify 0 into 0 2.229 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 1) (* 0 0))) into 0 2.229 * [backup-simplify]: Simplify 0 into 0 2.229 * [backup-simplify]: Simplify 0 into 0 2.229 * [backup-simplify]: Simplify (+ (* 1/4 (* J (pow K 2))) (* -2 (* J 1))) into (- (* 1/4 (* (pow K 2) J)) (* 2 J)) 2.230 * [backup-simplify]: Simplify (* (cos (/ (/ 1 K) 2)) (* -2 (/ 1 J))) into (* -2 (/ (cos (/ 1/2 K)) J)) 2.230 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in (K J) around 0 2.230 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in J 2.230 * [taylor]: Taking taylor expansion of -2 in J 2.230 * [backup-simplify]: Simplify -2 into -2 2.230 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 2.230 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.230 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.230 * [taylor]: Taking taylor expansion of 1/2 in J 2.230 * [backup-simplify]: Simplify 1/2 into 1/2 2.230 * [taylor]: Taking taylor expansion of K in J 2.230 * [backup-simplify]: Simplify K into K 2.230 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.230 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.230 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.230 * [taylor]: Taking taylor expansion of J in J 2.230 * [backup-simplify]: Simplify 0 into 0 2.230 * [backup-simplify]: Simplify 1 into 1 2.230 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.230 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.230 * [backup-simplify]: Simplify (- 0) into 0 2.230 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.230 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.230 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in K 2.230 * [taylor]: Taking taylor expansion of -2 in K 2.230 * [backup-simplify]: Simplify -2 into -2 2.230 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 2.231 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.231 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.231 * [taylor]: Taking taylor expansion of 1/2 in K 2.231 * [backup-simplify]: Simplify 1/2 into 1/2 2.231 * [taylor]: Taking taylor expansion of K in K 2.231 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify 1 into 1 2.231 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.231 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.231 * [taylor]: Taking taylor expansion of J in K 2.231 * [backup-simplify]: Simplify J into J 2.231 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 2.231 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in K 2.231 * [taylor]: Taking taylor expansion of -2 in K 2.231 * [backup-simplify]: Simplify -2 into -2 2.231 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 2.231 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.231 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.231 * [taylor]: Taking taylor expansion of 1/2 in K 2.231 * [backup-simplify]: Simplify 1/2 into 1/2 2.231 * [taylor]: Taking taylor expansion of K in K 2.231 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify 1 into 1 2.231 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.232 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.232 * [taylor]: Taking taylor expansion of J in K 2.232 * [backup-simplify]: Simplify J into J 2.232 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 2.232 * [backup-simplify]: Simplify (* -2 (/ (cos (/ 1/2 K)) J)) into (* -2 (/ (cos (/ 1/2 K)) J)) 2.232 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in J 2.232 * [taylor]: Taking taylor expansion of -2 in J 2.232 * [backup-simplify]: Simplify -2 into -2 2.232 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 2.232 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.232 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.232 * [taylor]: Taking taylor expansion of 1/2 in J 2.232 * [backup-simplify]: Simplify 1/2 into 1/2 2.232 * [taylor]: Taking taylor expansion of K in J 2.232 * [backup-simplify]: Simplify K into K 2.232 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.232 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.232 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.232 * [taylor]: Taking taylor expansion of J in J 2.232 * [backup-simplify]: Simplify 0 into 0 2.232 * [backup-simplify]: Simplify 1 into 1 2.232 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.232 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.232 * [backup-simplify]: Simplify (- 0) into 0 2.232 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.232 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.233 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 2.233 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 2.233 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)))) into 0 2.233 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (/ (cos (/ 1/2 K)) J))) into 0 2.233 * [taylor]: Taking taylor expansion of 0 in J 2.233 * [backup-simplify]: Simplify 0 into 0 2.233 * [backup-simplify]: Simplify (+ 0) into 0 2.234 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.234 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.235 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.235 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.236 * [backup-simplify]: Simplify (- 0) into 0 2.236 * [backup-simplify]: Simplify (+ 0 0) into 0 2.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 2.238 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 2.238 * [backup-simplify]: Simplify 0 into 0 2.238 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 2.239 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (/ (cos (/ 1/2 K)) J)))) into 0 2.239 * [taylor]: Taking taylor expansion of 0 in J 2.239 * [backup-simplify]: Simplify 0 into 0 2.239 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.241 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.241 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.242 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.242 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.243 * [backup-simplify]: Simplify (- 0) into 0 2.243 * [backup-simplify]: Simplify (+ 0 0) into 0 2.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.246 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 2.246 * [backup-simplify]: Simplify 0 into 0 2.246 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ 1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 2.247 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ 1/2 K)) J))))) into 0 2.247 * [taylor]: Taking taylor expansion of 0 in J 2.247 * [backup-simplify]: Simplify 0 into 0 2.247 * [backup-simplify]: Simplify 0 into 0 2.247 * [backup-simplify]: Simplify 0 into 0 2.248 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.249 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.249 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.251 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.252 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.252 * [backup-simplify]: Simplify (- 0) into 0 2.253 * [backup-simplify]: Simplify (+ 0 0) into 0 2.257 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.259 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 2.259 * [backup-simplify]: Simplify 0 into 0 2.259 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 (/ 1 J)) 1)) into (* -2 (* (cos (* 1/2 K)) J)) 2.259 * [backup-simplify]: Simplify (* (cos (/ (/ 1 (- K)) 2)) (* -2 (/ 1 (- J)))) into (* 2 (/ (cos (/ -1/2 K)) J)) 2.259 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in (K J) around 0 2.259 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in J 2.259 * [taylor]: Taking taylor expansion of 2 in J 2.259 * [backup-simplify]: Simplify 2 into 2 2.259 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 2.259 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.259 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.259 * [taylor]: Taking taylor expansion of -1/2 in J 2.259 * [backup-simplify]: Simplify -1/2 into -1/2 2.260 * [taylor]: Taking taylor expansion of K in J 2.260 * [backup-simplify]: Simplify K into K 2.260 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.260 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.260 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.260 * [taylor]: Taking taylor expansion of J in J 2.260 * [backup-simplify]: Simplify 0 into 0 2.260 * [backup-simplify]: Simplify 1 into 1 2.260 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.260 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.260 * [backup-simplify]: Simplify (- 0) into 0 2.261 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.261 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.261 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in K 2.261 * [taylor]: Taking taylor expansion of 2 in K 2.261 * [backup-simplify]: Simplify 2 into 2 2.261 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 2.261 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.261 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.261 * [taylor]: Taking taylor expansion of -1/2 in K 2.261 * [backup-simplify]: Simplify -1/2 into -1/2 2.261 * [taylor]: Taking taylor expansion of K in K 2.261 * [backup-simplify]: Simplify 0 into 0 2.261 * [backup-simplify]: Simplify 1 into 1 2.261 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.262 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.262 * [taylor]: Taking taylor expansion of J in K 2.262 * [backup-simplify]: Simplify J into J 2.262 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 2.262 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in K 2.262 * [taylor]: Taking taylor expansion of 2 in K 2.262 * [backup-simplify]: Simplify 2 into 2 2.262 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 2.262 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.262 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.262 * [taylor]: Taking taylor expansion of -1/2 in K 2.262 * [backup-simplify]: Simplify -1/2 into -1/2 2.262 * [taylor]: Taking taylor expansion of K in K 2.262 * [backup-simplify]: Simplify 0 into 0 2.262 * [backup-simplify]: Simplify 1 into 1 2.262 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.263 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.263 * [taylor]: Taking taylor expansion of J in K 2.263 * [backup-simplify]: Simplify J into J 2.263 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 2.263 * [backup-simplify]: Simplify (* 2 (/ (cos (/ -1/2 K)) J)) into (* 2 (/ (cos (/ -1/2 K)) J)) 2.263 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in J 2.263 * [taylor]: Taking taylor expansion of 2 in J 2.263 * [backup-simplify]: Simplify 2 into 2 2.263 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 2.263 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.263 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.263 * [taylor]: Taking taylor expansion of -1/2 in J 2.263 * [backup-simplify]: Simplify -1/2 into -1/2 2.263 * [taylor]: Taking taylor expansion of K in J 2.263 * [backup-simplify]: Simplify K into K 2.263 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.263 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.263 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.263 * [taylor]: Taking taylor expansion of J in J 2.263 * [backup-simplify]: Simplify 0 into 0 2.264 * [backup-simplify]: Simplify 1 into 1 2.264 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.264 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.264 * [backup-simplify]: Simplify (- 0) into 0 2.264 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.264 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.264 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 2.264 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 2.265 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)))) into 0 2.265 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ (cos (/ -1/2 K)) J))) into 0 2.265 * [taylor]: Taking taylor expansion of 0 in J 2.265 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify (+ 0) into 0 2.266 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.266 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.267 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.268 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.268 * [backup-simplify]: Simplify (- 0) into 0 2.269 * [backup-simplify]: Simplify (+ 0 0) into 0 2.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 2.270 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 2.270 * [backup-simplify]: Simplify 0 into 0 2.270 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 2.271 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J)))) into 0 2.271 * [taylor]: Taking taylor expansion of 0 in J 2.271 * [backup-simplify]: Simplify 0 into 0 2.271 * [backup-simplify]: Simplify 0 into 0 2.272 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.273 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.273 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.274 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.275 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.275 * [backup-simplify]: Simplify (- 0) into 0 2.275 * [backup-simplify]: Simplify (+ 0 0) into 0 2.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.278 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 2.278 * [backup-simplify]: Simplify 0 into 0 2.278 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ (cos (/ -1/2 K)) J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 2.279 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1/2 K)) J))))) into 0 2.280 * [taylor]: Taking taylor expansion of 0 in J 2.280 * [backup-simplify]: Simplify 0 into 0 2.280 * [backup-simplify]: Simplify 0 into 0 2.280 * [backup-simplify]: Simplify 0 into 0 2.281 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.282 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.282 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.284 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.284 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.285 * [backup-simplify]: Simplify (- 0) into 0 2.285 * [backup-simplify]: Simplify (+ 0 0) into 0 2.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.288 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 2.288 * [backup-simplify]: Simplify 0 into 0 2.289 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (/ 1 (- J))) 1)) into (* -2 (* (cos (* 1/2 K)) J)) 2.289 * * * [progress]: simplifying candidates 2.289 * * * * [progress]: [ 1 / 137 ] simplifiying candidate # 2.289 * * * * [progress]: [ 2 / 137 ] simplifiying candidate # 2.289 * * * * [progress]: [ 3 / 137 ] simplifiying candidate # 2.289 * * * * [progress]: [ 4 / 137 ] simplifiying candidate # 2.289 * * * * [progress]: [ 5 / 137 ] simplifiying candidate # 2.289 * * * * [progress]: [ 6 / 137 ] simplifiying candidate # 2.289 * * * * [progress]: [ 7 / 137 ] simplifiying candidate # 2.289 * * * * [progress]: [ 8 / 137 ] simplifiying candidate # 2.290 * * * * [progress]: [ 9 / 137 ] simplifiying candidate # 2.290 * * * * [progress]: [ 10 / 137 ] simplifiying candidate # 2.290 * * * * [progress]: [ 11 / 137 ] simplifiying candidate # 2.290 * * * * [progress]: [ 12 / 137 ] simplifiying candidate # 2.290 * * * * [progress]: [ 13 / 137 ] simplifiying candidate # 2.290 * * * * [progress]: [ 14 / 137 ] simplifiying candidate # 2.290 * * * * [progress]: [ 15 / 137 ] simplifiying candidate # 2.290 * * * * [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))))> 2.290 * * * * [progress]: [ 17 / 137 ] simplifiying candidate # 2.290 * * * * [progress]: [ 18 / 137 ] simplifiying candidate # 2.290 * * * * [progress]: [ 19 / 137 ] simplifiying candidate # 2.290 * * * * [progress]: [ 20 / 137 ] simplifiying candidate # 2.290 * * * * [progress]: [ 21 / 137 ] simplifiying candidate # 2.291 * * * * [progress]: [ 22 / 137 ] simplifiying candidate # 2.291 * * * * [progress]: [ 23 / 137 ] simplifiying candidate # 2.291 * * * * [progress]: [ 24 / 137 ] simplifiying candidate # 2.291 * * * * [progress]: [ 25 / 137 ] simplifiying candidate # 2.291 * * * * [progress]: [ 26 / 137 ] simplifiying candidate # 2.291 * * * * [progress]: [ 27 / 137 ] simplifiying candidate # 2.291 * * * * [progress]: [ 28 / 137 ] simplifiying candidate # 2.291 * * * * [progress]: [ 29 / 137 ] simplifiying candidate # 2.291 * * * * [progress]: [ 30 / 137 ] simplifiying candidate # 2.291 * * * * [progress]: [ 31 / 137 ] simplifiying candidate # 2.291 * * * * [progress]: [ 32 / 137 ] simplifiying candidate # 2.291 * * * * [progress]: [ 33 / 137 ] simplifiying candidate # 2.291 * * * * [progress]: [ 34 / 137 ] simplifiying candidate # 2.292 * * * * [progress]: [ 35 / 137 ] simplifiying candidate # 2.292 * * * * [progress]: [ 36 / 137 ] simplifiying candidate # 2.292 * * * * [progress]: [ 37 / 137 ] simplifiying candidate # 2.292 * * * * [progress]: [ 38 / 137 ] simplifiying candidate # 2.292 * * * * [progress]: [ 39 / 137 ] simplifiying candidate # 2.292 * * * * [progress]: [ 40 / 137 ] simplifiying candidate # 2.292 * * * * [progress]: [ 41 / 137 ] simplifiying candidate # 2.292 * * * * [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))))))> 2.292 * * * * [progress]: [ 43 / 137 ] simplifiying candidate # 2.292 * * * * [progress]: [ 44 / 137 ] simplifiying candidate # 2.292 * * * * [progress]: [ 45 / 137 ] simplifiying candidate # 2.292 * * * * [progress]: [ 46 / 137 ] simplifiying candidate # 2.292 * * * * [progress]: [ 47 / 137 ] simplifiying candidate # 2.292 * * * * [progress]: [ 48 / 137 ] simplifiying candidate # 2.293 * * * * [progress]: [ 49 / 137 ] simplifiying candidate # 2.293 * * * * [progress]: [ 50 / 137 ] simplifiying candidate # 2.293 * * * * [progress]: [ 51 / 137 ] simplifiying candidate # 2.293 * * * * [progress]: [ 52 / 137 ] simplifiying candidate # 2.293 * * * * [progress]: [ 53 / 137 ] simplifiying candidate # 2.293 * * * * [progress]: [ 54 / 137 ] simplifiying candidate # 2.293 * * * * [progress]: [ 55 / 137 ] simplifiying candidate # 2.293 * * * * [progress]: [ 56 / 137 ] simplifiying candidate # 2.293 * * * * [progress]: [ 57 / 137 ] simplifiying candidate # 2.293 * * * * [progress]: [ 58 / 137 ] simplifiying candidate # 2.293 * * * * [progress]: [ 59 / 137 ] simplifiying candidate # 2.293 * * * * [progress]: [ 60 / 137 ] simplifiying candidate # 2.293 * * * * [progress]: [ 61 / 137 ] simplifiying candidate # 2.294 * * * * [progress]: [ 62 / 137 ] simplifiying candidate # 2.294 * * * * [progress]: [ 63 / 137 ] simplifiying candidate # 2.294 * * * * [progress]: [ 64 / 137 ] simplifiying candidate # 2.294 * * * * [progress]: [ 65 / 137 ] simplifiying candidate # 2.294 * * * * [progress]: [ 66 / 137 ] simplifiying candidate # 2.294 * * * * [progress]: [ 67 / 137 ] simplifiying candidate # 2.294 * * * * [progress]: [ 68 / 137 ] simplifiying candidate # 2.294 * * * * [progress]: [ 69 / 137 ] simplifiying candidate # 2.295 * * * * [progress]: [ 70 / 137 ] simplifiying candidate # 2.295 * * * * [progress]: [ 71 / 137 ] simplifiying candidate # 2.295 * * * * [progress]: [ 72 / 137 ] simplifiying candidate # 2.295 * * * * [progress]: [ 73 / 137 ] simplifiying candidate # 2.295 * * * * [progress]: [ 74 / 137 ] simplifiying candidate # 2.295 * * * * [progress]: [ 75 / 137 ] simplifiying candidate # 2.295 * * * * [progress]: [ 76 / 137 ] simplifiying candidate # 2.295 * * * * [progress]: [ 77 / 137 ] simplifiying candidate # 2.295 * * * * [progress]: [ 78 / 137 ] simplifiying candidate # 2.295 * * * * [progress]: [ 79 / 137 ] simplifiying candidate # 2.295 * * * * [progress]: [ 80 / 137 ] simplifiying candidate # 2.295 * * * * [progress]: [ 81 / 137 ] simplifiying candidate # 2.295 * * * * [progress]: [ 82 / 137 ] simplifiying candidate # 2.295 * * * * [progress]: [ 83 / 137 ] simplifiying candidate # 2.296 * * * * [progress]: [ 84 / 137 ] simplifiying candidate # 2.296 * * * * [progress]: [ 85 / 137 ] simplifiying candidate # 2.296 * * * * [progress]: [ 86 / 137 ] simplifiying candidate # 2.296 * * * * [progress]: [ 87 / 137 ] simplifiying candidate # 2.296 * * * * [progress]: [ 88 / 137 ] simplifiying candidate # 2.296 * * * * [progress]: [ 89 / 137 ] simplifiying candidate # 2.296 * * * * [progress]: [ 90 / 137 ] simplifiying candidate # 2.296 * * * * [progress]: [ 91 / 137 ] simplifiying candidate # 2.296 * * * * [progress]: [ 92 / 137 ] simplifiying candidate # 2.296 * * * * [progress]: [ 93 / 137 ] simplifiying candidate # 2.296 * * * * [progress]: [ 94 / 137 ] simplifiying candidate # 2.296 * * * * [progress]: [ 95 / 137 ] simplifiying candidate # 2.296 * * * * [progress]: [ 96 / 137 ] simplifiying candidate # 2.296 * * * * [progress]: [ 97 / 137 ] simplifiying candidate # 2.297 * * * * [progress]: [ 98 / 137 ] simplifiying candidate # 2.297 * * * * [progress]: [ 99 / 137 ] simplifiying candidate # 2.297 * * * * [progress]: [ 100 / 137 ] simplifiying candidate # 2.297 * * * * [progress]: [ 101 / 137 ] simplifiying candidate # 2.297 * * * * [progress]: [ 102 / 137 ] simplifiying candidate # 2.297 * * * * [progress]: [ 103 / 137 ] simplifiying candidate # 2.297 * * * * [progress]: [ 104 / 137 ] simplifiying candidate # 2.297 * * * * [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))))> 2.297 * * * * [progress]: [ 106 / 137 ] simplifiying candidate # 2.297 * * * * [progress]: [ 107 / 137 ] simplifiying candidate # 2.297 * * * * [progress]: [ 108 / 137 ] simplifiying candidate # 2.297 * * * * [progress]: [ 109 / 137 ] simplifiying candidate # 2.297 * * * * [progress]: [ 110 / 137 ] simplifiying candidate # 2.297 * * * * [progress]: [ 111 / 137 ] simplifiying candidate # 2.297 * * * * [progress]: [ 112 / 137 ] simplifiying candidate # 2.298 * * * * [progress]: [ 113 / 137 ] simplifiying candidate # 2.298 * * * * [progress]: [ 114 / 137 ] simplifiying candidate # 2.298 * * * * [progress]: [ 115 / 137 ] simplifiying candidate # 2.298 * * * * [progress]: [ 116 / 137 ] simplifiying candidate # 2.298 * * * * [progress]: [ 117 / 137 ] simplifiying candidate # 2.298 * * * * [progress]: [ 118 / 137 ] simplifiying candidate # 2.298 * * * * [progress]: [ 119 / 137 ] simplifiying candidate # 2.298 * * * * [progress]: [ 120 / 137 ] simplifiying candidate # 2.298 * * * * [progress]: [ 121 / 137 ] simplifiying candidate # 2.298 * * * * [progress]: [ 122 / 137 ] simplifiying candidate # 2.298 * * * * [progress]: [ 123 / 137 ] simplifiying candidate # 2.298 * * * * [progress]: [ 124 / 137 ] simplifiying candidate #real (real->posit16 (* (cos (/ K 2)) (* -2 J))))))> 2.298 * * * * [progress]: [ 125 / 137 ] simplifiying candidate # 2.298 * * * * [progress]: [ 126 / 137 ] simplifiying candidate # 2.298 * * * * [progress]: [ 127 / 137 ] simplifiying candidate # 2.298 * * * * [progress]: [ 128 / 137 ] simplifiying candidate # 2.299 * * * * [progress]: [ 129 / 137 ] simplifiying candidate # 2.299 * * * * [progress]: [ 130 / 137 ] simplifiying candidate # 2.299 * * * * [progress]: [ 131 / 137 ] simplifiying candidate # 2.299 * * * * [progress]: [ 132 / 137 ] simplifiying candidate # 2.299 * * * * [progress]: [ 133 / 137 ] simplifiying candidate # 2.299 * * * * [progress]: [ 134 / 137 ] simplifiying candidate # 2.299 * * * * [progress]: [ 135 / 137 ] simplifiying candidate # 2.299 * * * * [progress]: [ 136 / 137 ] simplifiying candidate # 2.299 * * * * [progress]: [ 137 / 137 ] simplifiying candidate # 2.302 * [simplify]: Simplifying (log (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (exp (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (* (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (* (* (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt (* (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (sqrt (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt 1), (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)), (sqrt (+ (pow (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 3) (pow 1 3))), (sqrt (+ (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (sqrt (- (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2)))))) (* 1 1))), (sqrt (- (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)), (/ 1 2), (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (real->posit16 (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (* (sqrt (+ (* (/ U (* (+ J J) (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))), (+ (log (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (+ (log (cos (/ K 2))) (+ (log -2) (log J)))), (+ (log (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (+ (log (cos (/ K 2))) (log (* -2 J)))), (+ (log (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (log (* (cos (/ K 2)) (* -2 J)))), (log (* (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))), (exp (* (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)) (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)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 -2) -2) (* (* J J) J)))), (* (* (* (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))) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 J) (* -2 J)) (* -2 J)))), (* (* (* (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))) (* (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J))) (* (cos (/ K 2)) (* -2 J)))), (* (cbrt (* (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J))))), (cbrt (* (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)))), (sqrt (* (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))), (sqrt (* (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))), (* (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J))), (* (sqrt (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J))), (* (sqrt (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 (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 (+ (pow (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 3) (pow 1 3))) (* (cos (/ K 2)) (* -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 1))) (* (cos (/ K 2)) (* -2 J))), (real->posit16 (* (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (* (cos (/ K 2)) (* -2 J)))), (+ 1 1), (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))), (+ 1 1), (+ (- (log U) (+ (log (+ J J)) (log (cos (/ K 2))))) (- (log U) (+ (log (+ J J)) (log (cos (/ K 2)))))), (+ (- (log U) (+ (log (+ J J)) (log (cos (/ K 2))))) (- (log U) (log (* (+ J J) (cos (/ K 2)))))), (+ (- (log U) (+ (log (+ J J)) (log (cos (/ K 2))))) (log (/ U (* (+ J J) (cos (/ K 2)))))), (+ (- (log U) (log (* (+ J J) (cos (/ K 2))))) (- (log U) (+ (log (+ J J)) (log (cos (/ K 2)))))), (+ (- (log U) (log (* (+ J J) (cos (/ K 2))))) (- (log U) (log (* (+ J J) (cos (/ K 2)))))), (+ (- (log U) (log (* (+ J J) (cos (/ K 2))))) (log (/ U (* (+ J J) (cos (/ K 2)))))), (+ (log (/ U (* (+ J J) (cos (/ K 2))))) (- (log U) (+ (log (+ J J)) (log (cos (/ K 2)))))), (+ (log (/ U (* (+ J J) (cos (/ K 2))))) (- (log U) (log (* (+ 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)))) (/ U (* (+ J J) (cos (/ K 2)))))), (exp (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2)))))), (* (/ (* (* U U) U) (* (* (* (+ J J) (+ J J)) (+ J J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (+ J J) (+ J J)) (+ J J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))))), (* (/ (* (* U U) U) (* (* (* (+ J J) (+ J J)) (+ J J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (+ J J) (cos (/ K 2))) (* (+ J J) (cos (/ K 2)))) (* (+ J J) (cos (/ K 2)))))), (* (/ (* (* U U) U) (* (* (* (+ J J) (+ J J)) (+ J J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) (/ U (* (+ J J) (cos (/ K 2)))))), (* (/ (* (* U U) U) (* (* (* (+ J J) (cos (/ K 2))) (* (+ J J) (cos (/ K 2)))) (* (+ J J) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (+ J J) (+ J J)) (+ J J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))))), (* (/ (* (* U U) U) (* (* (* (+ J J) (cos (/ K 2))) (* (+ J J) (cos (/ K 2)))) (* (+ J J) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (+ J J) (cos (/ K 2))) (* (+ J J) (cos (/ K 2)))) (* (+ J J) (cos (/ K 2)))))), (* (/ (* (* U U) U) (* (* (* (+ J J) (cos (/ K 2))) (* (+ J J) (cos (/ K 2)))) (* (+ 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 U) U) (* (* (* (+ J J) (+ J J)) (+ J J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))))), (* (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) (/ U (* (+ J J) (cos (/ K 2))))) (/ (* (* U U) U) (* (* (* (+ J J) (cos (/ K 2))) (* (+ J J) (cos (/ K 2)))) (* (+ J J) (cos (/ K 2)))))), (* (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) (/ U (* (+ J J) (cos (/ K 2))))) (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) (/ U (* (+ J J) (cos (/ K 2)))))), (* (cbrt (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2)))))) (cbrt (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))))), (cbrt (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2)))))), (* (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2)))))) (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2)))))), (sqrt (* (/ 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 U), (* (* (+ J J) (cos (/ K 2))) (* (+ 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))))) (cbrt (/ U (* (+ J J) (cos (/ K 2)))))), (* (sqrt (/ U (* (+ J J) (cos (/ K 2))))) (sqrt (/ U (* (+ J J) (cos (/ K 2)))))), (* (sqrt (/ U (* (+ J J) (cos (/ K 2))))) (sqrt (/ 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 1), (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))), (* U U), (* (/ 1 (* (+ J J) (cos (/ K 2)))) (/ 1 (* (+ J J) (cos (/ K 2))))), (* (/ U (* (+ (pow J 3) (pow J 3)) (cos (/ K 2)))) (/ U (* (+ (pow J 3) (pow J 3)) (cos (/ K 2))))), (* (+ (* J J) (- (* J J) (* J J))) (+ (* J J) (- (* J J) (* J J)))), (* (/ U (* (- (* J J) (* J J)) (cos (/ K 2)))) (/ U (* (- (* J J) (* J J)) (cos (/ K 2))))), (* (- J J) (- J J)), (* (sqrt (/ U (* (+ J J) (cos (/ K 2))))) (sqrt (/ U (* (+ J J) (cos (/ K 2)))))), (* (sqrt (/ U (* (+ J J) (cos (/ K 2))))) (sqrt (/ U (* (+ J J) (cos (/ K 2)))))), (* 2 1), (* (/ 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)))) (sqrt (/ U (* (+ J J) (cos (/ K 2)))))), (* (/ U (* (+ J J) (cos (/ K 2)))) (/ (* (cbrt U) (cbrt U)) (+ J J))), (* (/ U (* (+ J J) (cos (/ K 2)))) (/ (sqrt U) (+ J J))), (* (/ U (* (+ J J) (cos (/ K 2)))) (/ 1 (+ J J))), (* (/ U (* (+ J J) (cos (/ K 2)))) 1), (* (/ U (* (+ J J) (cos (/ K 2)))) U), (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ (pow J 3) (pow J 3)) (cos (/ K 2))))), (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (- (* J J) (* 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))))), (* (/ (cbrt U) (cos (/ K 2))) (/ U (* (+ J J) (cos (/ K 2))))), (* (/ (sqrt U) (cos (/ K 2))) (/ U (* (+ J J) (cos (/ K 2))))), (* (/ U (cos (/ K 2))) (/ U (* (+ J J) (cos (/ K 2))))), (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))), (* (/ 1 (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))), (* (+ (* J J) (- (* J J) (* J J))) (/ U (* (+ J J) (cos (/ K 2))))), (* (- J J) (/ U (* (+ J J) (cos (/ K 2))))), (* (/ U (* (+ J J) (cos (/ K 2)))) U), (* U (/ U (* (+ J J) (cos (/ K 2))))), (real->posit16 (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2)))))), (* (cos (/ K 2)) (* -2 J)), (* (cos (/ K 2)) (* -2 J)), (+ (log (cos (/ K 2))) (+ (log -2) (log J))), (+ (log (cos (/ K 2))) (log (* -2 J))), (log (* (cos (/ K 2)) (* -2 J))), (exp (* (cos (/ K 2)) (* -2 J))), (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 -2) -2) (* (* J J) J))), (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (* -2 J) (* -2 J)) (* -2 J))), (* (cbrt (* (cos (/ K 2)) (* -2 J))) (cbrt (* (cos (/ K 2)) (* -2 J)))), (cbrt (* (cos (/ K 2)) (* -2 J))), (* (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J))) (* (cos (/ K 2)) (* -2 J))), (sqrt (* (cos (/ K 2)) (* -2 J))), (sqrt (* (cos (/ K 2)) (* -2 J))), (* (cos (/ K 2)) -2), (* (cbrt (cos (/ K 2))) (* -2 J)), (* (sqrt (cos (/ K 2))) (* -2 J)), (* (cos (/ K 2)) (* -2 J)), (real->posit16 (* (cos (/ K 2)) (* -2 J))), 1, (* 1/2 (/ U (* (cos (* 1/2 K)) J))), (* 1/2 (/ U (* (cos (* 1/2 K)) J))), (- (+ (* 2 J) (* 1/4 (/ (pow U 2) J)))), (* -1 U), (* -1 U), (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))), (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))), (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))), (- (* 1/4 (* (pow K 2) J)) (* 2 J)), (* -2 (* (cos (* 1/2 K)) J)), (* -2 (* (cos (* 1/2 K)) J)) 2.308 * * [simplify]: iteration 1: (226 enodes) 2.456 * * [simplify]: iteration 2: (1026 enodes) 3.070 * * [simplify]: Extracting #0: cost 89 inf + 0 3.073 * * [simplify]: Extracting #1: cost 686 inf + 4 3.080 * * [simplify]: Extracting #2: cost 993 inf + 5715 3.093 * * [simplify]: Extracting #3: cost 889 inf + 24127 3.107 * * [simplify]: Extracting #4: cost 845 inf + 30767 3.128 * * [simplify]: Extracting #5: cost 620 inf + 93061 3.178 * * [simplify]: Extracting #6: cost 170 inf + 261462 3.258 * * [simplify]: Extracting #7: cost 10 inf + 322727 3.365 * * [simplify]: Extracting #8: cost 0 inf + 318368 3.448 * * [simplify]: Extracting #9: cost 0 inf + 317808 3.582 * [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))) (/ (/ U (+ J J)) (cos (/ K 2))))))), (sqrt (cbrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))), (sqrt (sqrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))), (sqrt (sqrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))), 1, (sqrt (+ 1 (* (/ (/ 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 (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) (* (/ (/ 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 (* (/ (/ 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 (+ 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)), 1/2, (sqrt (sqrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))), (sqrt (sqrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))), (real->posit16 (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)))))) (* -2 (* (cos (/ K 2)) J))), (* (sqrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))))) (* -2 (* (cos (/ K 2)) J))), (* (sqrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))))) (* -2 (* (cos (/ K 2)) J))), (log (* (sqrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))))) (* -2 (* (cos (/ K 2)) J)))), (log (* (sqrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))))) (* -2 (* (cos (/ K 2)) J)))), (log (* (sqrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))))) (* -2 (* (cos (/ K 2)) J)))), (log (* (sqrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))))) (* -2 (* (cos (/ K 2)) J)))), (exp (* (sqrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))))) (* -2 (* (cos (/ K 2)) J)))), (* (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))))) (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) -8)) J))), (* (* (* -2 (* (cos (/ K 2)) J)) (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (* (* -2 (* (cos (/ K 2)) J)) (* -2 (* (cos (/ K 2)) J))) (sqrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))))))), (* (* (* -2 (* (cos (/ K 2)) J)) (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (* (* -2 (* (cos (/ K 2)) J)) (* -2 (* (cos (/ K 2)) J))) (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)))))) (* -2 (* (cos (/ K 2)) J)))) (cbrt (* (sqrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))))) (* -2 (* (cos (/ K 2)) J))))), (cbrt (* (sqrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))))) (* -2 (* (cos (/ K 2)) J)))), (* (* (* -2 (* (cos (/ K 2)) J)) (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))))) (* (* (* -2 (* (cos (/ K 2)) J)) (* -2 (* (cos (/ K 2)) J))) (sqrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))))))), (sqrt (* (sqrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))))) (* -2 (* (cos (/ K 2)) J)))), (sqrt (* (sqrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))))) (* -2 (* (cos (/ K 2)) J)))), (* (sqrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))))) (cos (/ K 2))), (* (* (cbrt (sqrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))) (* J -2)) (cos (/ K 2))), (* (* (cos (/ K 2)) (sqrt (cbrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))))))) (* J -2)), (* (* (sqrt (sqrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))) (* J -2)) (cos (/ K 2))), (* (sqrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))))) (* -2 (* (cos (/ K 2)) J))), (* (* (sqrt (sqrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))))) (* J -2)) (cos (/ K 2))), (* (sqrt (+ 1 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))))) (* -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)))) (* (/ (/ 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 (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))))), (* (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) (* (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))))), (* (cbrt (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))) (cbrt (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))))), (cbrt (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))), (* (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) (* (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))) (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))))), (fabs (/ (/ U (+ J J)) (cos (/ K 2)))), (fabs (/ (/ U (+ J J)) (cos (/ K 2)))), (* U U), (* (+ (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (+ (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))), (* (* (cbrt (/ (/ U (+ J J)) (cos (/ K 2)))) (cbrt (/ (/ U (+ J J)) (cos (/ K 2))))) (* (cbrt (/ (/ U (+ J J)) (cos (/ K 2)))) (cbrt (/ (/ U (+ J J)) (cos (/ K 2)))))), (* (cbrt (/ (/ U (+ J J)) (cos (/ K 2)))) (cbrt (/ (/ U (+ J J)) (cos (/ K 2))))), (/ (/ U (+ J J)) (cos (/ K 2))), (/ (/ U (+ J J)) (cos (/ K 2))), (* (/ (* (cbrt U) (cbrt U)) (+ J J)) (/ (* (cbrt U) (cbrt U)) (+ J J))), (* (/ (cbrt U) (cos (/ K 2))) (/ (cbrt U) (cos (/ K 2)))), (* (/ (sqrt U) (+ J J)) (/ (sqrt U) (+ J J))), (* (/ (sqrt U) (cos (/ K 2))) (/ (sqrt U) (cos (/ K 2)))), (/ (/ 1 (+ J J)) (+ J J)), (* (/ U (cos (/ K 2))) (/ U (cos (/ K 2)))), 1, (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))), (* U U), (* (/ (/ 1 (+ J J)) (cos (/ K 2))) (/ (/ 1 (+ J J)) (cos (/ K 2)))), (* (/ (/ U (+ (* (* J J) J) (* (* J J) J))) (cos (/ K 2))) (/ (/ U (+ (* (* J J) J) (* (* J J) J))) (cos (/ K 2)))), (* (* J J) (* J J)), (* (/ U 0) (/ U 0)), 0, (/ (/ U (+ J J)) (cos (/ K 2))), (/ (/ U (+ J J)) (cos (/ K 2))), 2, (* (* (cbrt (/ (/ U (+ J J)) (cos (/ K 2)))) (cbrt (/ (/ U (+ J J)) (cos (/ K 2))))) (/ (/ U (+ J J)) (cos (/ K 2)))), (* (sqrt (/ (/ U (+ J J)) (cos (/ K 2)))) (/ (/ U (+ J J)) (cos (/ K 2)))), (* (/ U (cos (/ K 2))) (/ (/ (* (cbrt U) (cbrt U)) (+ J J)) (+ J J))), (/ (* (/ (sqrt U) (+ J J)) (/ U (+ J J))) (cos (/ K 2))), (/ (/ (/ U (+ J J)) (cos (/ K 2))) (+ J J)), (/ (/ U (+ J J)) (cos (/ K 2))), (/ (* U (/ U (+ J J))) (cos (/ K 2))), (* (/ (/ (/ U (+ J J)) (cos (/ K 2))) (cos (/ K 2))) (/ U (+ (* (* J J) J) (* (* J J) J)))), (/ (* (/ U 0) U) (+ (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))), (* (/ (/ U (+ J J)) (cos (/ K 2))) (cbrt (/ (/ U (+ J J)) (cos (/ K 2))))), (* (sqrt (/ (/ U (+ J J)) (cos (/ K 2)))) (/ (/ U (+ J J)) (cos (/ K 2)))), (/ (/ (* (cbrt U) (/ U (+ J J))) (cos (/ K 2))) (cos (/ K 2))), (/ (/ (/ (* (sqrt U) U) (cos (/ K 2))) (+ J J)) (cos (/ K 2))), (/ (* (/ (/ U (+ J J)) (cos (/ K 2))) U) (cos (/ K 2))), (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2)))), (/ (/ (/ (/ U (+ J J)) (cos (/ K 2))) (+ J J)) (cos (/ K 2))), (* (/ (* J J) (cos (/ K 2))) (/ U (+ J J))), 0, (/ (* U (/ U (+ J J))) (cos (/ K 2))), (/ (* U (/ U (+ J J))) (cos (/ K 2))), (real->posit16 (* (/ (/ U (+ J J)) (cos (/ K 2))) (/ (/ U (+ J J)) (cos (/ K 2))))), (* -2 (* (cos (/ K 2)) J)), (* -2 (* (cos (/ K 2)) J)), (log (* -2 (* (cos (/ K 2)) J))), (log (* -2 (* (cos (/ K 2)) J))), (log (* -2 (* (cos (/ K 2)) J))), (exp (* -2 (* (cos (/ K 2)) J))), (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) -8)) J), (* (* (* -2 (* (cos (/ K 2)) J)) (* -2 (* (cos (/ K 2)) J))) (* -2 (* (cos (/ K 2)) J))), (* (cbrt (* -2 (* (cos (/ K 2)) J))) (cbrt (* -2 (* (cos (/ K 2)) J)))), (cbrt (* -2 (* (cos (/ K 2)) J))), (* (* (* -2 (* (cos (/ K 2)) J)) (* -2 (* (cos (/ K 2)) J))) (* -2 (* (cos (/ K 2)) J))), (sqrt (* -2 (* (cos (/ K 2)) J))), (sqrt (* -2 (* (cos (/ K 2)) J))), (* -2 (cos (/ K 2))), (* (cbrt (cos (/ K 2))) (* J -2)), (* J (* (sqrt (cos (/ K 2))) -2)), (* -2 (* (cos (/ K 2)) J)), (real->posit16 (* -2 (* (cos (/ K 2)) J))), 1, (/ (* (/ U (cos (* 1/2 K))) 1/2) J), (/ (* (/ U (cos (* 1/2 K))) 1/2) J), (- (* J -2) (* 1/4 (/ (* U U) J))), (- U), (- U), (+ (/ (* 1/16 (* K K)) (* (/ J U) (/ J U))) (* (* (/ U J) (/ U J)) 1/4)), (* (/ (* U U) (* (* J (cos (* 1/2 K))) (* J (cos (* 1/2 K))))) 1/4), (* (/ (* U U) (* (* J (cos (* 1/2 K))) (* J (cos (* 1/2 K))))) 1/4), (* J (- (* (* K K) 1/4) 2)), (* (* J (cos (* 1/2 K))) -2), (* (* J (cos (* 1/2 K))) -2) 3.603 * * * [progress]: adding candidates to table 5.466 * * [progress]: iteration 2 / 4 5.466 * * * [progress]: picking best candidate 5.510 * * * * [pick]: Picked # 5.510 * * * [progress]: localizing error 5.559 * * * [progress]: generating rewritten candidates 5.559 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 5.637 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 5.723 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 5.825 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 5.916 * * * [progress]: generating series expansions 5.916 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 5.917 * [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)) 5.917 * [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 5.917 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 5.917 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 5.917 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 5.917 * [taylor]: Taking taylor expansion of 1/4 in K 5.917 * [backup-simplify]: Simplify 1/4 into 1/4 5.917 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 5.917 * [taylor]: Taking taylor expansion of (pow U 2) in K 5.917 * [taylor]: Taking taylor expansion of U in K 5.917 * [backup-simplify]: Simplify U into U 5.917 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 5.918 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 5.918 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 5.918 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 5.918 * [taylor]: Taking taylor expansion of 1/2 in K 5.918 * [backup-simplify]: Simplify 1/2 into 1/2 5.918 * [taylor]: Taking taylor expansion of K in K 5.918 * [backup-simplify]: Simplify 0 into 0 5.918 * [backup-simplify]: Simplify 1 into 1 5.919 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.919 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.919 * [taylor]: Taking taylor expansion of (pow J 2) in K 5.920 * [taylor]: Taking taylor expansion of J in K 5.920 * [backup-simplify]: Simplify J into J 5.920 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.920 * [backup-simplify]: Simplify (* 1 1) into 1 5.920 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.920 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 5.920 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 5.920 * [taylor]: Taking taylor expansion of 1 in K 5.920 * [backup-simplify]: Simplify 1 into 1 5.921 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 5.921 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 5.921 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 5.921 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 5.921 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.922 * [backup-simplify]: Simplify (+ 0) into 0 5.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 5.923 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 5.924 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 5.925 * [backup-simplify]: Simplify (+ 0 0) into 0 5.925 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 5.925 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 5.925 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 5.925 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 5.925 * [taylor]: Taking taylor expansion of 1/4 in J 5.925 * [backup-simplify]: Simplify 1/4 into 1/4 5.925 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 5.925 * [taylor]: Taking taylor expansion of (pow U 2) in J 5.925 * [taylor]: Taking taylor expansion of U in J 5.925 * [backup-simplify]: Simplify U into U 5.925 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 5.925 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 5.925 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 5.925 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 5.925 * [taylor]: Taking taylor expansion of 1/2 in J 5.925 * [backup-simplify]: Simplify 1/2 into 1/2 5.925 * [taylor]: Taking taylor expansion of K in J 5.925 * [backup-simplify]: Simplify K into K 5.926 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.926 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.926 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.926 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.926 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.926 * [backup-simplify]: Simplify (- 0) into 0 5.926 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.926 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.927 * [taylor]: Taking taylor expansion of J in J 5.927 * [backup-simplify]: Simplify 0 into 0 5.927 * [backup-simplify]: Simplify 1 into 1 5.927 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.927 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 5.927 * [backup-simplify]: Simplify (* 1 1) into 1 5.927 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 5.928 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 5.928 * [taylor]: Taking taylor expansion of 1 in J 5.928 * [backup-simplify]: Simplify 1 into 1 5.928 * [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))) 5.928 * [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))) 5.928 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 5.928 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 5.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.930 * [backup-simplify]: Simplify (+ 0) into 0 5.930 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 5.931 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 5.932 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.932 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 5.932 * [backup-simplify]: Simplify (- 0) into 0 5.933 * [backup-simplify]: Simplify (+ 0 0) into 0 5.933 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 5.934 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 5.934 * [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 5.934 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 5.935 * [backup-simplify]: Simplify (+ 0 0) into 0 5.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 5.935 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 5.935 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 5.935 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 5.935 * [taylor]: Taking taylor expansion of 1/4 in U 5.935 * [backup-simplify]: Simplify 1/4 into 1/4 5.935 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 5.935 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.935 * [taylor]: Taking taylor expansion of U in U 5.935 * [backup-simplify]: Simplify 0 into 0 5.935 * [backup-simplify]: Simplify 1 into 1 5.935 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 5.935 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 5.935 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 5.935 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 5.935 * [taylor]: Taking taylor expansion of 1/2 in U 5.935 * [backup-simplify]: Simplify 1/2 into 1/2 5.935 * [taylor]: Taking taylor expansion of K in U 5.935 * [backup-simplify]: Simplify K into K 5.935 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.935 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.935 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.935 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.935 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.936 * [backup-simplify]: Simplify (- 0) into 0 5.936 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.936 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.936 * [taylor]: Taking taylor expansion of J in U 5.936 * [backup-simplify]: Simplify J into J 5.936 * [backup-simplify]: Simplify (* 1 1) into 1 5.936 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 5.936 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.936 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 5.936 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 5.936 * [taylor]: Taking taylor expansion of 1 in U 5.936 * [backup-simplify]: Simplify 1 into 1 5.937 * [backup-simplify]: Simplify (+ 0 1) into 1 5.937 * [backup-simplify]: Simplify (sqrt 1) into 1 5.937 * [backup-simplify]: Simplify (+ 0 0) into 0 5.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.938 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 5.938 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 5.938 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 5.938 * [taylor]: Taking taylor expansion of 1/4 in U 5.938 * [backup-simplify]: Simplify 1/4 into 1/4 5.938 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 5.938 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.938 * [taylor]: Taking taylor expansion of U in U 5.938 * [backup-simplify]: Simplify 0 into 0 5.938 * [backup-simplify]: Simplify 1 into 1 5.938 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 5.938 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 5.938 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 5.938 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 5.938 * [taylor]: Taking taylor expansion of 1/2 in U 5.938 * [backup-simplify]: Simplify 1/2 into 1/2 5.938 * [taylor]: Taking taylor expansion of K in U 5.938 * [backup-simplify]: Simplify K into K 5.938 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.938 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.938 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.938 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.938 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.938 * [backup-simplify]: Simplify (- 0) into 0 5.938 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.938 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.938 * [taylor]: Taking taylor expansion of J in U 5.938 * [backup-simplify]: Simplify J into J 5.939 * [backup-simplify]: Simplify (* 1 1) into 1 5.939 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 5.939 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.939 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 5.939 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 5.939 * [taylor]: Taking taylor expansion of 1 in U 5.939 * [backup-simplify]: Simplify 1 into 1 5.939 * [backup-simplify]: Simplify (+ 0 1) into 1 5.940 * [backup-simplify]: Simplify (sqrt 1) into 1 5.940 * [backup-simplify]: Simplify (+ 0 0) into 0 5.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.940 * [taylor]: Taking taylor expansion of 1 in J 5.940 * [backup-simplify]: Simplify 1 into 1 5.940 * [taylor]: Taking taylor expansion of 0 in J 5.940 * [backup-simplify]: Simplify 0 into 0 5.940 * [taylor]: Taking taylor expansion of 1 in K 5.940 * [backup-simplify]: Simplify 1 into 1 5.940 * [backup-simplify]: Simplify 1 into 1 5.941 * [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))) 5.941 * [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)))) 5.942 * [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))) 5.942 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 5.942 * [taylor]: Taking taylor expansion of 1/8 in J 5.942 * [backup-simplify]: Simplify 1/8 into 1/8 5.942 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 5.942 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 5.942 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 5.942 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 5.942 * [taylor]: Taking taylor expansion of 1/2 in J 5.942 * [backup-simplify]: Simplify 1/2 into 1/2 5.942 * [taylor]: Taking taylor expansion of K in J 5.942 * [backup-simplify]: Simplify K into K 5.942 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.942 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.942 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.942 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.942 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.942 * [backup-simplify]: Simplify (- 0) into 0 5.942 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.942 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.942 * [taylor]: Taking taylor expansion of J in J 5.942 * [backup-simplify]: Simplify 0 into 0 5.942 * [backup-simplify]: Simplify 1 into 1 5.943 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 5.943 * [backup-simplify]: Simplify (* 1 1) into 1 5.943 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 5.943 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 5.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.944 * [backup-simplify]: Simplify (+ 0) into 0 5.944 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 5.944 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 5.945 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.945 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 5.946 * [backup-simplify]: Simplify (- 0) into 0 5.946 * [backup-simplify]: Simplify (+ 0 0) into 0 5.946 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 5.946 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 5.946 * [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 5.946 * [taylor]: Taking taylor expansion of 0 in K 5.946 * [backup-simplify]: Simplify 0 into 0 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 * [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 0 into 0 5.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.947 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.947 * [backup-simplify]: Simplify (+ 0) into 0 5.948 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 5.948 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 5.948 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.949 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 5.949 * [backup-simplify]: Simplify (- 0) into 0 5.949 * [backup-simplify]: Simplify (+ 0 0) into 0 5.949 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 5.949 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 5.950 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 5.950 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 5.950 * [backup-simplify]: Simplify (+ 0 0) into 0 5.951 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 5.951 * [taylor]: Taking taylor expansion of 0 in J 5.951 * [backup-simplify]: Simplify 0 into 0 5.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.952 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.952 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 5.953 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 5.953 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.954 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 5.954 * [backup-simplify]: Simplify (- 0) into 0 5.954 * [backup-simplify]: Simplify (+ 0 0) into 0 5.955 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 5.955 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 5.955 * [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 5.955 * [taylor]: Taking taylor expansion of 0 in K 5.955 * [backup-simplify]: Simplify 0 into 0 5.955 * [backup-simplify]: Simplify 0 into 0 5.955 * [taylor]: Taking taylor expansion of 0 in K 5.955 * [backup-simplify]: Simplify 0 into 0 5.955 * [backup-simplify]: Simplify 0 into 0 5.956 * [backup-simplify]: Simplify 1 into 1 5.956 * [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)) 5.956 * [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 5.956 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 5.956 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 5.956 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 5.956 * [taylor]: Taking taylor expansion of 1/4 in K 5.956 * [backup-simplify]: Simplify 1/4 into 1/4 5.956 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 5.956 * [taylor]: Taking taylor expansion of (pow J 2) in K 5.956 * [taylor]: Taking taylor expansion of J in K 5.956 * [backup-simplify]: Simplify J into J 5.956 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 5.956 * [taylor]: Taking taylor expansion of (pow U 2) in K 5.956 * [taylor]: Taking taylor expansion of U in K 5.956 * [backup-simplify]: Simplify U into U 5.956 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 5.956 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 5.956 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 5.956 * [taylor]: Taking taylor expansion of 1/2 in K 5.956 * [backup-simplify]: Simplify 1/2 into 1/2 5.956 * [taylor]: Taking taylor expansion of K in K 5.956 * [backup-simplify]: Simplify 0 into 0 5.956 * [backup-simplify]: Simplify 1 into 1 5.957 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.957 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.957 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.957 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.957 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 5.957 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 5.957 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 5.957 * [taylor]: Taking taylor expansion of 1 in K 5.957 * [backup-simplify]: Simplify 1 into 1 5.957 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 5.957 * [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) 5.958 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 5.958 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.958 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 5.958 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 5.958 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 5.958 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 5.959 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 5.959 * [backup-simplify]: Simplify (+ 0 0) into 0 5.959 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 5.959 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 5.959 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 5.959 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 5.959 * [taylor]: Taking taylor expansion of 1/4 in J 5.959 * [backup-simplify]: Simplify 1/4 into 1/4 5.959 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 5.959 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.959 * [taylor]: Taking taylor expansion of J in J 5.959 * [backup-simplify]: Simplify 0 into 0 5.959 * [backup-simplify]: Simplify 1 into 1 5.959 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 5.960 * [taylor]: Taking taylor expansion of (pow U 2) in J 5.960 * [taylor]: Taking taylor expansion of U in J 5.960 * [backup-simplify]: Simplify U into U 5.960 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 5.960 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 5.960 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 5.960 * [taylor]: Taking taylor expansion of 1/2 in J 5.960 * [backup-simplify]: Simplify 1/2 into 1/2 5.960 * [taylor]: Taking taylor expansion of K in J 5.960 * [backup-simplify]: Simplify K into K 5.960 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.960 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.960 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.960 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.960 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.960 * [backup-simplify]: Simplify (- 0) into 0 5.960 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.960 * [backup-simplify]: Simplify (* 1 1) into 1 5.961 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.961 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 5.961 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 5.961 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 5.961 * [taylor]: Taking taylor expansion of 1 in J 5.961 * [backup-simplify]: Simplify 1 into 1 5.961 * [backup-simplify]: Simplify (+ 0 1) into 1 5.961 * [backup-simplify]: Simplify (sqrt 1) into 1 5.962 * [backup-simplify]: Simplify (+ 0 0) into 0 5.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.962 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 5.962 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 5.962 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 5.962 * [taylor]: Taking taylor expansion of 1/4 in U 5.962 * [backup-simplify]: Simplify 1/4 into 1/4 5.962 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 5.962 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.962 * [taylor]: Taking taylor expansion of J in U 5.962 * [backup-simplify]: Simplify J into J 5.962 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 5.962 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.962 * [taylor]: Taking taylor expansion of U in U 5.962 * [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) 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)) 5.963 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.963 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.963 * [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 * [backup-simplify]: Simplify (* J J) into (pow J 2) 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 (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 5.964 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 5.964 * [taylor]: Taking taylor expansion of 1 in U 5.964 * [backup-simplify]: Simplify 1 into 1 5.964 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 5.964 * [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))) 5.964 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 5.964 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.964 * [backup-simplify]: Simplify (+ 0) into 0 5.965 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 5.965 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 5.965 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.965 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 5.966 * [backup-simplify]: Simplify (- 0) into 0 5.966 * [backup-simplify]: Simplify (+ 0 0) into 0 5.966 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 5.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.967 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 5.967 * [backup-simplify]: 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 5.967 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 5.968 * [backup-simplify]: Simplify (+ 0 0) into 0 5.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 5.968 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 5.968 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 5.968 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 5.968 * [taylor]: Taking taylor expansion of 1/4 in U 5.968 * [backup-simplify]: Simplify 1/4 into 1/4 5.968 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 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 5.968 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 5.968 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.968 * [taylor]: Taking taylor expansion of U in U 5.968 * [backup-simplify]: Simplify 0 into 0 5.968 * [backup-simplify]: Simplify 1 into 1 5.968 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 5.968 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 5.968 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 5.968 * [taylor]: Taking taylor expansion of 1/2 in U 5.968 * [backup-simplify]: Simplify 1/2 into 1/2 5.968 * [taylor]: Taking taylor expansion of K in U 5.968 * [backup-simplify]: Simplify K into K 5.968 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.968 * [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 5.969 * [backup-simplify]: Simplify (- 0) into 0 5.969 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.969 * [backup-simplify]: Simplify (* J J) into (pow J 2) 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 (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 5.969 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 5.969 * [taylor]: Taking taylor expansion of 1 in U 5.969 * [backup-simplify]: Simplify 1 into 1 5.969 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 5.970 * [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))) 5.970 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 5.970 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.970 * [backup-simplify]: Simplify (+ 0) into 0 5.970 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 5.971 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 5.971 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.971 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 5.971 * [backup-simplify]: Simplify (- 0) into 0 5.972 * [backup-simplify]: Simplify (+ 0 0) into 0 5.972 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 5.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 5.973 * [backup-simplify]: 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 5.973 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 5.973 * [backup-simplify]: Simplify (+ 0 0) into 0 5.974 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 5.974 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 5.974 * [taylor]: Taking taylor expansion of 1/2 in J 5.974 * [backup-simplify]: Simplify 1/2 into 1/2 5.974 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 5.974 * [taylor]: Taking taylor expansion of J in J 5.974 * [backup-simplify]: Simplify 0 into 0 5.974 * [backup-simplify]: Simplify 1 into 1 5.974 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 5.974 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 5.974 * [taylor]: Taking taylor expansion of 1/2 in J 5.974 * [backup-simplify]: Simplify 1/2 into 1/2 5.974 * [taylor]: Taking taylor expansion of K in J 5.974 * [backup-simplify]: Simplify K into K 5.974 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.974 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.974 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.974 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.974 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.974 * [backup-simplify]: Simplify (- 0) into 0 5.974 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.974 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 5.974 * [taylor]: Taking taylor expansion of 0 in J 5.974 * [backup-simplify]: Simplify 0 into 0 5.975 * [taylor]: Taking taylor expansion of 0 in K 5.975 * [backup-simplify]: Simplify 0 into 0 5.975 * [backup-simplify]: Simplify 0 into 0 5.975 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 5.975 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 5.975 * [taylor]: Taking taylor expansion of 1/2 in K 5.975 * [backup-simplify]: Simplify 1/2 into 1/2 5.975 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 5.975 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 5.975 * [taylor]: Taking taylor expansion of 1/2 in K 5.975 * [backup-simplify]: Simplify 1/2 into 1/2 5.975 * [taylor]: Taking taylor expansion of K in K 5.975 * [backup-simplify]: Simplify 0 into 0 5.975 * [backup-simplify]: Simplify 1 into 1 5.975 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.975 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.975 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 5.975 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 5.976 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 5.976 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.977 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 5.977 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 5.977 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.977 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 5.978 * [backup-simplify]: Simplify (- 0) into 0 5.978 * [backup-simplify]: Simplify (+ 0 0) into 0 5.978 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 5.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 5.980 * [backup-simplify]: 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 5.980 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 5.981 * [backup-simplify]: Simplify (+ 0 1) into 1 5.981 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 5.981 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 5.981 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 5.981 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 5.981 * [taylor]: Taking taylor expansion of 1/2 in J 5.981 * [backup-simplify]: Simplify 1/2 into 1/2 5.981 * [taylor]: Taking taylor expansion of K in J 5.981 * [backup-simplify]: Simplify K into K 5.981 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.981 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.981 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.981 * [taylor]: Taking taylor expansion of J in J 5.981 * [backup-simplify]: Simplify 0 into 0 5.981 * [backup-simplify]: Simplify 1 into 1 5.982 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.982 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.982 * [backup-simplify]: Simplify (- 0) into 0 5.982 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.982 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.982 * [backup-simplify]: Simplify (+ 0) into 0 5.983 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 5.983 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 5.983 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.983 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 5.984 * [backup-simplify]: Simplify (- 0) into 0 5.984 * [backup-simplify]: Simplify (+ 0 0) into 0 5.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 5.984 * [taylor]: Taking taylor expansion of 0 in K 5.985 * [backup-simplify]: Simplify 0 into 0 5.985 * [backup-simplify]: Simplify 0 into 0 5.985 * [taylor]: Taking taylor expansion of 0 in K 5.985 * [backup-simplify]: Simplify 0 into 0 5.985 * [backup-simplify]: Simplify 0 into 0 5.985 * [backup-simplify]: Simplify (+ 0) into 0 5.985 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 5.985 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 5.986 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.986 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 5.986 * [backup-simplify]: Simplify (- 0) into 0 5.987 * [backup-simplify]: Simplify (+ 0 0) into 0 5.987 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 5.987 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 5.987 * [taylor]: Taking taylor expansion of 0 in K 5.987 * [backup-simplify]: Simplify 0 into 0 5.987 * [backup-simplify]: Simplify 0 into 0 5.987 * [backup-simplify]: Simplify 0 into 0 5.987 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 5.987 * [backup-simplify]: Simplify 0 into 0 5.988 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 5.989 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.989 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.989 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 5.990 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 5.991 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 5.991 * [backup-simplify]: Simplify (- 0) into 0 5.991 * [backup-simplify]: Simplify (+ 0 0) into 0 5.992 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 5.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 5.994 * [backup-simplify]: 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 5.995 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 5.995 * [backup-simplify]: Simplify (+ 0 0) into 0 5.995 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 5.995 * [taylor]: Taking taylor expansion of 0 in J 5.995 * [backup-simplify]: Simplify 0 into 0 5.995 * [taylor]: Taking taylor expansion of 0 in K 5.995 * [backup-simplify]: Simplify 0 into 0 5.995 * [backup-simplify]: Simplify 0 into 0 5.996 * [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))) 5.996 * [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)))))) 5.996 * [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 5.996 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 5.996 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 5.996 * [taylor]: Taking taylor expansion of 1 in K 5.996 * [backup-simplify]: Simplify 1 into 1 5.996 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 5.996 * [taylor]: Taking taylor expansion of 1/4 in K 5.996 * [backup-simplify]: Simplify 1/4 into 1/4 5.996 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 5.996 * [taylor]: Taking taylor expansion of (pow J 2) in K 5.996 * [taylor]: Taking taylor expansion of J in K 5.996 * [backup-simplify]: Simplify J into J 5.996 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 5.996 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 5.996 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 5.996 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 5.996 * [taylor]: Taking taylor expansion of -1/2 in K 5.996 * [backup-simplify]: Simplify -1/2 into -1/2 5.996 * [taylor]: Taking taylor expansion of K in K 5.996 * [backup-simplify]: Simplify 0 into 0 5.996 * [backup-simplify]: Simplify 1 into 1 5.997 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.997 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.997 * [taylor]: Taking taylor expansion of (pow U 2) in K 5.997 * [taylor]: Taking taylor expansion of U in K 5.997 * [backup-simplify]: Simplify U into U 5.997 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.997 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 5.997 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.997 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 5.998 * [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))) 5.998 * [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)))) 5.998 * [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))))) 5.998 * [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)))))) 5.998 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.998 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 5.998 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 5.998 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 5.999 * [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 5.999 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 6.000 * [backup-simplify]: Simplify (+ 0 0) into 0 6.000 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 6.000 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 6.000 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 6.000 * [taylor]: Taking taylor expansion of 1 in J 6.000 * [backup-simplify]: Simplify 1 into 1 6.000 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 6.000 * [taylor]: Taking taylor expansion of 1/4 in J 6.000 * [backup-simplify]: Simplify 1/4 into 1/4 6.000 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 6.000 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.000 * [taylor]: Taking taylor expansion of J in J 6.000 * [backup-simplify]: Simplify 0 into 0 6.000 * [backup-simplify]: Simplify 1 into 1 6.000 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 6.000 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 6.000 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.000 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.000 * [taylor]: Taking taylor expansion of -1/2 in J 6.000 * [backup-simplify]: Simplify -1/2 into -1/2 6.000 * [taylor]: Taking taylor expansion of K in J 6.000 * [backup-simplify]: Simplify K into K 6.000 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.000 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.000 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.000 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.000 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.001 * [backup-simplify]: Simplify (- 0) into 0 6.001 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.001 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.001 * [taylor]: Taking taylor expansion of U in J 6.001 * [backup-simplify]: Simplify U into U 6.001 * [backup-simplify]: Simplify (* 1 1) into 1 6.001 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.001 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.001 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.002 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.002 * [backup-simplify]: Simplify (+ 1 0) into 1 6.002 * [backup-simplify]: Simplify (sqrt 1) into 1 6.002 * [backup-simplify]: Simplify (+ 0 0) into 0 6.003 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.003 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 6.003 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 6.003 * [taylor]: Taking taylor expansion of 1 in U 6.003 * [backup-simplify]: Simplify 1 into 1 6.003 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 6.003 * [taylor]: Taking taylor expansion of 1/4 in U 6.003 * [backup-simplify]: Simplify 1/4 into 1/4 6.003 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 6.003 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.003 * [taylor]: Taking taylor expansion of J in U 6.003 * [backup-simplify]: Simplify J into J 6.003 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 6.003 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 6.003 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.003 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.003 * [taylor]: Taking taylor expansion of -1/2 in U 6.003 * [backup-simplify]: Simplify -1/2 into -1/2 6.003 * [taylor]: Taking taylor expansion of K in U 6.003 * [backup-simplify]: Simplify K into K 6.003 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.003 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.003 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.003 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.003 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.004 * [backup-simplify]: Simplify (- 0) into 0 6.004 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.004 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.004 * [taylor]: Taking taylor expansion of U in U 6.004 * [backup-simplify]: Simplify 0 into 0 6.004 * [backup-simplify]: Simplify 1 into 1 6.004 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.004 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.004 * [backup-simplify]: Simplify (* 1 1) into 1 6.004 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 6.004 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 6.004 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 6.005 * [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))) 6.005 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 6.005 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) 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 (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.006 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.007 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.007 * [backup-simplify]: Simplify (- 0) into 0 6.007 * [backup-simplify]: Simplify (+ 0 0) into 0 6.007 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.008 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 6.008 * [backup-simplify]: 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 6.008 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 6.008 * [backup-simplify]: Simplify (+ 0 0) into 0 6.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 6.009 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 6.009 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 6.009 * [taylor]: Taking taylor expansion of 1 in U 6.009 * [backup-simplify]: Simplify 1 into 1 6.009 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 6.009 * [taylor]: Taking taylor expansion of 1/4 in U 6.009 * [backup-simplify]: Simplify 1/4 into 1/4 6.009 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 6.009 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.009 * [taylor]: Taking taylor expansion of J in U 6.009 * [backup-simplify]: Simplify J into J 6.009 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 6.009 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 6.009 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.009 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.009 * [taylor]: Taking taylor expansion of -1/2 in U 6.009 * [backup-simplify]: Simplify -1/2 into -1/2 6.009 * [taylor]: Taking taylor expansion of K in U 6.009 * [backup-simplify]: Simplify K into K 6.009 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.009 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.009 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.009 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.009 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.010 * [backup-simplify]: Simplify (- 0) into 0 6.010 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.010 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.010 * [taylor]: Taking taylor expansion of U in U 6.010 * [backup-simplify]: Simplify 0 into 0 6.010 * [backup-simplify]: Simplify 1 into 1 6.010 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.011 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.011 * [backup-simplify]: Simplify (* 1 1) into 1 6.011 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 6.011 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 6.012 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 6.012 * [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))) 6.012 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 6.012 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.018 * [backup-simplify]: Simplify (+ 0) into 0 6.019 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.019 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.020 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.021 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.021 * [backup-simplify]: Simplify (- 0) into 0 6.021 * [backup-simplify]: Simplify (+ 0 0) into 0 6.022 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.022 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 6.023 * [backup-simplify]: 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 6.023 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 6.024 * [backup-simplify]: Simplify (+ 0 0) into 0 6.024 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 6.024 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 6.024 * [taylor]: Taking taylor expansion of 1/2 in J 6.024 * [backup-simplify]: Simplify 1/2 into 1/2 6.024 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 6.024 * [taylor]: Taking taylor expansion of J in J 6.024 * [backup-simplify]: Simplify 0 into 0 6.024 * [backup-simplify]: Simplify 1 into 1 6.024 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.024 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.024 * [taylor]: Taking taylor expansion of -1/2 in J 6.024 * [backup-simplify]: Simplify -1/2 into -1/2 6.024 * [taylor]: Taking taylor expansion of K in J 6.024 * [backup-simplify]: Simplify K into K 6.024 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.024 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.024 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.025 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.025 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.025 * [backup-simplify]: Simplify (- 0) into 0 6.025 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.025 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 6.025 * [taylor]: Taking taylor expansion of 0 in J 6.025 * [backup-simplify]: Simplify 0 into 0 6.025 * [taylor]: Taking taylor expansion of 0 in K 6.025 * [backup-simplify]: Simplify 0 into 0 6.025 * [backup-simplify]: Simplify 0 into 0 6.026 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 6.026 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 6.026 * [taylor]: Taking taylor expansion of 1/2 in K 6.026 * [backup-simplify]: Simplify 1/2 into 1/2 6.026 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.026 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.026 * [taylor]: Taking taylor expansion of -1/2 in K 6.026 * [backup-simplify]: Simplify -1/2 into -1/2 6.026 * [taylor]: Taking taylor expansion of K in K 6.026 * [backup-simplify]: Simplify 0 into 0 6.026 * [backup-simplify]: Simplify 1 into 1 6.026 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.026 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.026 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 6.027 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 6.027 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) 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 6.030 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.031 * [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 6.032 * [backup-simplify]: Simplify (- 0) into 0 6.032 * [backup-simplify]: Simplify (+ 0 0) into 0 6.033 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 6.034 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 6.034 * [backup-simplify]: 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 6.035 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 6.036 * [backup-simplify]: Simplify (+ 1 0) into 1 6.036 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 6.036 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 6.036 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.036 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.037 * [taylor]: Taking taylor expansion of -1/2 in J 6.037 * [backup-simplify]: Simplify -1/2 into -1/2 6.037 * [taylor]: Taking taylor expansion of K in J 6.037 * [backup-simplify]: Simplify K into K 6.037 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.037 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.037 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.037 * [taylor]: Taking taylor expansion of J in J 6.037 * [backup-simplify]: Simplify 0 into 0 6.037 * [backup-simplify]: Simplify 1 into 1 6.037 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.037 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.037 * [backup-simplify]: Simplify (- 0) into 0 6.038 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.038 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.038 * [backup-simplify]: Simplify (+ 0) into 0 6.038 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.039 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.039 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.040 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.040 * [backup-simplify]: Simplify (- 0) into 0 6.041 * [backup-simplify]: Simplify (+ 0 0) into 0 6.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 6.042 * [taylor]: Taking taylor expansion of 0 in K 6.042 * [backup-simplify]: Simplify 0 into 0 6.042 * [backup-simplify]: Simplify 0 into 0 6.042 * [taylor]: Taking taylor expansion of 0 in K 6.042 * [backup-simplify]: Simplify 0 into 0 6.042 * [backup-simplify]: Simplify 0 into 0 6.042 * [backup-simplify]: Simplify (+ 0) into 0 6.043 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.043 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.044 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.044 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.044 * [backup-simplify]: Simplify (- 0) into 0 6.045 * [backup-simplify]: Simplify (+ 0 0) into 0 6.045 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 6.045 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 6.045 * [taylor]: Taking taylor expansion of 0 in K 6.046 * [backup-simplify]: Simplify 0 into 0 6.046 * [backup-simplify]: Simplify 0 into 0 6.046 * [backup-simplify]: Simplify 0 into 0 6.046 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 6.046 * [backup-simplify]: Simplify 0 into 0 6.047 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 6.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.049 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.050 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.050 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.052 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.052 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.053 * [backup-simplify]: Simplify (- 0) into 0 6.053 * [backup-simplify]: Simplify (+ 0 0) into 0 6.054 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 6.055 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.056 * [backup-simplify]: 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 6.057 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 6.057 * [backup-simplify]: Simplify (+ 0 0) into 0 6.058 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 6.058 * [taylor]: Taking taylor expansion of 0 in J 6.058 * [backup-simplify]: Simplify 0 into 0 6.058 * [taylor]: Taking taylor expansion of 0 in K 6.058 * [backup-simplify]: Simplify 0 into 0 6.058 * [backup-simplify]: Simplify 0 into 0 6.058 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 6.058 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 6.059 * [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)) 6.059 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0 6.059 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 6.059 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 6.059 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 6.059 * [taylor]: Taking taylor expansion of 1/4 in K 6.059 * [backup-simplify]: Simplify 1/4 into 1/4 6.059 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 6.059 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.059 * [taylor]: Taking taylor expansion of U in K 6.059 * [backup-simplify]: Simplify U into U 6.059 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 6.059 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 6.059 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 6.059 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 6.059 * [taylor]: Taking taylor expansion of 1/2 in K 6.059 * [backup-simplify]: Simplify 1/2 into 1/2 6.059 * [taylor]: Taking taylor expansion of K in K 6.059 * [backup-simplify]: Simplify 0 into 0 6.059 * [backup-simplify]: Simplify 1 into 1 6.060 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.060 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.060 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.060 * [taylor]: Taking taylor expansion of J in K 6.060 * [backup-simplify]: Simplify J into J 6.060 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.061 * [backup-simplify]: Simplify (* 1 1) into 1 6.061 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.061 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 6.061 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 6.061 * [taylor]: Taking taylor expansion of 1 in K 6.061 * [backup-simplify]: Simplify 1 into 1 6.061 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 6.062 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 6.062 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 6.062 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.062 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.063 * [backup-simplify]: Simplify (+ 0) into 0 6.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 6.064 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 6.065 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 6.065 * [backup-simplify]: Simplify (+ 0 0) into 0 6.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 6.066 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 6.066 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 6.066 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 6.066 * [taylor]: Taking taylor expansion of 1/4 in J 6.066 * [backup-simplify]: Simplify 1/4 into 1/4 6.066 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 6.066 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.066 * [taylor]: Taking taylor expansion of U in J 6.066 * [backup-simplify]: Simplify U into U 6.066 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 6.066 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 6.066 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.066 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.066 * [taylor]: Taking taylor expansion of 1/2 in J 6.066 * [backup-simplify]: Simplify 1/2 into 1/2 6.066 * [taylor]: Taking taylor expansion of K in J 6.066 * [backup-simplify]: Simplify K into K 6.066 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.066 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.066 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.067 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.067 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.067 * [backup-simplify]: Simplify (- 0) into 0 6.067 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.067 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.067 * [taylor]: Taking taylor expansion of J in J 6.067 * [backup-simplify]: Simplify 0 into 0 6.067 * [backup-simplify]: Simplify 1 into 1 6.067 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.067 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.068 * [backup-simplify]: Simplify (* 1 1) into 1 6.068 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 6.068 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 6.068 * [taylor]: Taking taylor expansion of 1 in J 6.068 * [backup-simplify]: Simplify 1 into 1 6.068 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 6.069 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 6.069 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 6.069 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.070 * [backup-simplify]: Simplify (+ 0) into 0 6.070 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.071 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.072 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.072 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.073 * [backup-simplify]: Simplify (- 0) into 0 6.073 * [backup-simplify]: Simplify (+ 0 0) into 0 6.073 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 6.074 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 6.074 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 6.075 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 6.075 * [backup-simplify]: Simplify (+ 0 0) into 0 6.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 6.075 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 6.075 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 6.075 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 6.075 * [taylor]: Taking taylor expansion of 1/4 in U 6.075 * [backup-simplify]: Simplify 1/4 into 1/4 6.075 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 6.075 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.075 * [taylor]: Taking taylor expansion of U in U 6.075 * [backup-simplify]: Simplify 0 into 0 6.076 * [backup-simplify]: Simplify 1 into 1 6.076 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 6.076 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 6.076 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.076 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 6.076 * [taylor]: Taking taylor expansion of 1/2 in U 6.076 * [backup-simplify]: Simplify 1/2 into 1/2 6.076 * [taylor]: Taking taylor expansion of K in U 6.076 * [backup-simplify]: Simplify K into K 6.076 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.076 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.076 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.076 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.076 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.076 * [backup-simplify]: Simplify (- 0) into 0 6.077 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.077 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.077 * [taylor]: Taking taylor expansion of J in U 6.077 * [backup-simplify]: Simplify J into J 6.077 * [backup-simplify]: Simplify (* 1 1) into 1 6.077 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.077 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.077 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 6.078 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.078 * [taylor]: Taking taylor expansion of 1 in U 6.078 * [backup-simplify]: Simplify 1 into 1 6.078 * [backup-simplify]: Simplify (+ 0 1) into 1 6.078 * [backup-simplify]: Simplify (sqrt 1) into 1 6.079 * [backup-simplify]: Simplify (+ 0 0) into 0 6.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.080 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 6.080 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 6.080 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 6.080 * [taylor]: Taking taylor expansion of 1/4 in U 6.080 * [backup-simplify]: Simplify 1/4 into 1/4 6.080 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 6.080 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.080 * [taylor]: Taking taylor expansion of U in U 6.080 * [backup-simplify]: Simplify 0 into 0 6.080 * [backup-simplify]: Simplify 1 into 1 6.080 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 6.080 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 6.080 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.080 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 6.080 * [taylor]: Taking taylor expansion of 1/2 in U 6.080 * [backup-simplify]: Simplify 1/2 into 1/2 6.080 * [taylor]: Taking taylor expansion of K in U 6.080 * [backup-simplify]: Simplify K into K 6.080 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.080 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.080 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.080 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.080 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.081 * [backup-simplify]: Simplify (- 0) into 0 6.081 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.081 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.081 * [taylor]: Taking taylor expansion of J in U 6.081 * [backup-simplify]: Simplify J into J 6.081 * [backup-simplify]: Simplify (* 1 1) into 1 6.082 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.082 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.082 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 6.082 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.082 * [taylor]: Taking taylor expansion of 1 in U 6.082 * [backup-simplify]: Simplify 1 into 1 6.082 * [backup-simplify]: Simplify (+ 0 1) into 1 6.083 * [backup-simplify]: Simplify (sqrt 1) into 1 6.083 * [backup-simplify]: Simplify (+ 0 0) into 0 6.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.084 * [taylor]: Taking taylor expansion of 1 in J 6.084 * [backup-simplify]: Simplify 1 into 1 6.084 * [taylor]: Taking taylor expansion of 0 in J 6.084 * [backup-simplify]: Simplify 0 into 0 6.084 * [taylor]: Taking taylor expansion of 1 in K 6.084 * [backup-simplify]: Simplify 1 into 1 6.084 * [backup-simplify]: Simplify 1 into 1 6.084 * [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))) 6.085 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 6.086 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.086 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 6.086 * [taylor]: Taking taylor expansion of 1/8 in J 6.086 * [backup-simplify]: Simplify 1/8 into 1/8 6.086 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 6.086 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 6.086 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.086 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.086 * [taylor]: Taking taylor expansion of 1/2 in J 6.086 * [backup-simplify]: Simplify 1/2 into 1/2 6.086 * [taylor]: Taking taylor expansion of K in J 6.086 * [backup-simplify]: Simplify K into K 6.086 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.086 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.086 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.086 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.086 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.087 * [backup-simplify]: Simplify (- 0) into 0 6.087 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.087 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.087 * [taylor]: Taking taylor expansion of J in J 6.087 * [backup-simplify]: Simplify 0 into 0 6.087 * [backup-simplify]: Simplify 1 into 1 6.087 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.087 * [backup-simplify]: Simplify (* 1 1) into 1 6.087 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 6.087 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 6.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.088 * [backup-simplify]: Simplify (+ 0) into 0 6.088 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.088 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.089 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.089 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.089 * [backup-simplify]: Simplify (- 0) into 0 6.090 * [backup-simplify]: Simplify (+ 0 0) into 0 6.090 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 6.090 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 6.090 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 6.090 * [taylor]: Taking taylor expansion of 0 in K 6.090 * [backup-simplify]: Simplify 0 into 0 6.090 * [backup-simplify]: Simplify 0 into 0 6.090 * [taylor]: Taking taylor expansion of 0 in K 6.090 * [backup-simplify]: Simplify 0 into 0 6.090 * [backup-simplify]: Simplify 0 into 0 6.090 * [taylor]: Taking taylor expansion of 0 in K 6.090 * [backup-simplify]: Simplify 0 into 0 6.090 * [backup-simplify]: Simplify 0 into 0 6.090 * [backup-simplify]: Simplify 0 into 0 6.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.091 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.091 * [backup-simplify]: Simplify (+ 0) into 0 6.092 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.092 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.092 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.093 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.093 * [backup-simplify]: Simplify (- 0) into 0 6.093 * [backup-simplify]: Simplify (+ 0 0) into 0 6.093 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 6.093 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 6.094 * [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 6.094 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 6.094 * [backup-simplify]: Simplify (+ 0 0) into 0 6.095 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 6.095 * [taylor]: Taking taylor expansion of 0 in J 6.095 * [backup-simplify]: Simplify 0 into 0 6.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.096 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.097 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.097 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 6.098 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.098 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.098 * [backup-simplify]: Simplify (- 0) into 0 6.099 * [backup-simplify]: Simplify (+ 0 0) into 0 6.099 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 6.099 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 6.100 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 6.100 * [taylor]: Taking taylor expansion of 0 in K 6.100 * [backup-simplify]: Simplify 0 into 0 6.100 * [backup-simplify]: Simplify 0 into 0 6.100 * [taylor]: Taking taylor expansion of 0 in K 6.100 * [backup-simplify]: Simplify 0 into 0 6.100 * [backup-simplify]: Simplify 0 into 0 6.100 * [backup-simplify]: Simplify 1 into 1 6.100 * [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)) 6.100 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0 6.100 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 6.100 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 6.100 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 6.100 * [taylor]: Taking taylor expansion of 1/4 in K 6.100 * [backup-simplify]: Simplify 1/4 into 1/4 6.100 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 6.100 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.100 * [taylor]: Taking taylor expansion of J in K 6.101 * [backup-simplify]: Simplify J into J 6.101 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 6.101 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.101 * [taylor]: Taking taylor expansion of U in K 6.101 * [backup-simplify]: Simplify U into U 6.101 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 6.101 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.101 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.101 * [taylor]: Taking taylor expansion of 1/2 in K 6.101 * [backup-simplify]: Simplify 1/2 into 1/2 6.101 * [taylor]: Taking taylor expansion of K in K 6.101 * [backup-simplify]: Simplify 0 into 0 6.101 * [backup-simplify]: Simplify 1 into 1 6.101 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.101 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.101 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.101 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.101 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.101 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.101 * [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))) 6.101 * [taylor]: Taking taylor expansion of 1 in K 6.101 * [backup-simplify]: Simplify 1 into 1 6.102 * [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)))) 6.102 * [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) 6.102 * [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)) 6.102 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.102 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.102 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.102 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.103 * [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 6.103 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 6.103 * [backup-simplify]: Simplify (+ 0 0) into 0 6.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 6.104 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 6.104 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 6.104 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 6.104 * [taylor]: Taking taylor expansion of 1/4 in J 6.104 * [backup-simplify]: Simplify 1/4 into 1/4 6.104 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 6.104 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.104 * [taylor]: Taking taylor expansion of J in J 6.104 * [backup-simplify]: Simplify 0 into 0 6.104 * [backup-simplify]: Simplify 1 into 1 6.104 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 6.104 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.104 * [taylor]: Taking taylor expansion of U in J 6.104 * [backup-simplify]: Simplify U into U 6.104 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.104 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.104 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.104 * [taylor]: Taking taylor expansion of 1/2 in J 6.104 * [backup-simplify]: Simplify 1/2 into 1/2 6.104 * [taylor]: Taking taylor expansion of K in J 6.104 * [backup-simplify]: Simplify K into K 6.104 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.104 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.104 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.104 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.104 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.104 * [backup-simplify]: Simplify (- 0) into 0 6.105 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.105 * [backup-simplify]: Simplify (* 1 1) into 1 6.105 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.105 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.105 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.105 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 6.105 * [taylor]: Taking taylor expansion of 1 in J 6.105 * [backup-simplify]: Simplify 1 into 1 6.105 * [backup-simplify]: Simplify (+ 0 1) into 1 6.106 * [backup-simplify]: Simplify (sqrt 1) into 1 6.106 * [backup-simplify]: Simplify (+ 0 0) into 0 6.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.106 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 6.106 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 6.106 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 6.106 * [taylor]: Taking taylor expansion of 1/4 in U 6.106 * [backup-simplify]: Simplify 1/4 into 1/4 6.106 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 6.106 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.107 * [taylor]: Taking taylor expansion of J in U 6.107 * [backup-simplify]: Simplify J into J 6.107 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 6.107 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.107 * [taylor]: Taking taylor expansion of U in U 6.107 * [backup-simplify]: Simplify 0 into 0 6.107 * [backup-simplify]: Simplify 1 into 1 6.107 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 6.107 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.107 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.107 * [taylor]: Taking taylor expansion of 1/2 in U 6.107 * [backup-simplify]: Simplify 1/2 into 1/2 6.107 * [taylor]: Taking taylor expansion of K in U 6.107 * [backup-simplify]: Simplify K into K 6.107 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.107 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.107 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.107 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.107 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.107 * [backup-simplify]: Simplify (- 0) into 0 6.107 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.107 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.108 * [backup-simplify]: Simplify (* 1 1) into 1 6.108 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.108 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 6.108 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 6.108 * [taylor]: Taking taylor expansion of 1 in U 6.108 * [backup-simplify]: Simplify 1 into 1 6.108 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 6.108 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 6.108 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 6.108 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.109 * [backup-simplify]: Simplify (+ 0) into 0 6.109 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.109 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.109 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.110 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.110 * [backup-simplify]: Simplify (- 0) into 0 6.110 * [backup-simplify]: Simplify (+ 0 0) into 0 6.110 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.111 * [backup-simplify]: 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 6.112 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 6.112 * [backup-simplify]: Simplify (+ 0 0) into 0 6.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 6.112 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 6.112 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 6.112 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 6.112 * [taylor]: Taking taylor expansion of 1/4 in U 6.112 * [backup-simplify]: Simplify 1/4 into 1/4 6.112 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 6.112 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.112 * [taylor]: Taking taylor expansion of J in U 6.112 * [backup-simplify]: Simplify J into J 6.112 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 6.112 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.112 * [taylor]: Taking taylor expansion of U in U 6.112 * [backup-simplify]: Simplify 0 into 0 6.112 * [backup-simplify]: Simplify 1 into 1 6.112 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 6.112 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.112 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.112 * [taylor]: Taking taylor expansion of 1/2 in U 6.112 * [backup-simplify]: Simplify 1/2 into 1/2 6.112 * [taylor]: Taking taylor expansion of K in U 6.112 * [backup-simplify]: Simplify K into K 6.112 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.112 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.112 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.113 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.113 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.113 * [backup-simplify]: Simplify (- 0) into 0 6.113 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.113 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.113 * [backup-simplify]: Simplify (* 1 1) into 1 6.113 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.113 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 6.113 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 6.113 * [taylor]: Taking taylor expansion of 1 in U 6.113 * [backup-simplify]: Simplify 1 into 1 6.114 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 6.114 * [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))) 6.114 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 6.114 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.114 * [backup-simplify]: Simplify (+ 0) into 0 6.115 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.115 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.115 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.115 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.116 * [backup-simplify]: Simplify (- 0) into 0 6.116 * [backup-simplify]: Simplify (+ 0 0) into 0 6.116 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.117 * [backup-simplify]: 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 6.117 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 6.118 * [backup-simplify]: Simplify (+ 0 0) into 0 6.118 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 6.118 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 6.118 * [taylor]: Taking taylor expansion of 1/2 in J 6.118 * [backup-simplify]: Simplify 1/2 into 1/2 6.118 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 6.118 * [taylor]: Taking taylor expansion of J in J 6.118 * [backup-simplify]: Simplify 0 into 0 6.118 * [backup-simplify]: Simplify 1 into 1 6.118 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.118 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.118 * [taylor]: Taking taylor expansion of 1/2 in J 6.118 * [backup-simplify]: Simplify 1/2 into 1/2 6.118 * [taylor]: Taking taylor expansion of K in J 6.118 * [backup-simplify]: Simplify K into K 6.118 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.119 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.119 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.119 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.119 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.119 * [backup-simplify]: Simplify (- 0) into 0 6.119 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.119 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 6.119 * [taylor]: Taking taylor expansion of 0 in J 6.119 * [backup-simplify]: Simplify 0 into 0 6.120 * [taylor]: Taking taylor expansion of 0 in K 6.120 * [backup-simplify]: Simplify 0 into 0 6.120 * [backup-simplify]: Simplify 0 into 0 6.120 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 6.120 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 6.120 * [taylor]: Taking taylor expansion of 1/2 in K 6.120 * [backup-simplify]: Simplify 1/2 into 1/2 6.120 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.120 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.120 * [taylor]: Taking taylor expansion of 1/2 in K 6.120 * [backup-simplify]: Simplify 1/2 into 1/2 6.120 * [taylor]: Taking taylor expansion of K in K 6.120 * [backup-simplify]: Simplify 0 into 0 6.120 * [backup-simplify]: Simplify 1 into 1 6.120 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.121 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.121 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 6.121 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 6.121 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.122 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.123 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.123 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.124 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.125 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.125 * [backup-simplify]: Simplify (- 0) into 0 6.126 * [backup-simplify]: Simplify (+ 0 0) into 0 6.126 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 6.129 * [backup-simplify]: 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 6.130 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 6.130 * [backup-simplify]: Simplify (+ 0 1) into 1 6.131 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 6.131 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 6.131 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.131 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.131 * [taylor]: Taking taylor expansion of 1/2 in J 6.131 * [backup-simplify]: Simplify 1/2 into 1/2 6.131 * [taylor]: Taking taylor expansion of K in J 6.131 * [backup-simplify]: Simplify K into K 6.131 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.131 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.131 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.131 * [taylor]: Taking taylor expansion of J in J 6.131 * [backup-simplify]: Simplify 0 into 0 6.131 * [backup-simplify]: Simplify 1 into 1 6.132 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.132 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.132 * [backup-simplify]: Simplify (- 0) into 0 6.132 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.132 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.133 * [backup-simplify]: Simplify (+ 0) into 0 6.133 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.133 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.134 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.135 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.135 * [backup-simplify]: Simplify (- 0) into 0 6.135 * [backup-simplify]: Simplify (+ 0 0) into 0 6.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 6.136 * [taylor]: Taking taylor expansion of 0 in K 6.136 * [backup-simplify]: Simplify 0 into 0 6.136 * [backup-simplify]: Simplify 0 into 0 6.137 * [taylor]: Taking taylor expansion of 0 in K 6.137 * [backup-simplify]: Simplify 0 into 0 6.137 * [backup-simplify]: Simplify 0 into 0 6.137 * [backup-simplify]: Simplify (+ 0) into 0 6.138 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.138 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.139 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.139 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.139 * [backup-simplify]: Simplify (- 0) into 0 6.140 * [backup-simplify]: Simplify (+ 0 0) into 0 6.140 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 6.141 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 6.141 * [taylor]: Taking taylor expansion of 0 in K 6.141 * [backup-simplify]: Simplify 0 into 0 6.141 * [backup-simplify]: Simplify 0 into 0 6.141 * [backup-simplify]: Simplify 0 into 0 6.141 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 6.141 * [backup-simplify]: Simplify 0 into 0 6.142 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 6.143 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.144 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.144 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.146 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.146 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.146 * [backup-simplify]: Simplify (- 0) into 0 6.147 * [backup-simplify]: Simplify (+ 0 0) into 0 6.147 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 6.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.152 * [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))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.153 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 6.154 * [backup-simplify]: Simplify (+ 0 0) into 0 6.154 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 6.154 * [taylor]: Taking taylor expansion of 0 in J 6.154 * [backup-simplify]: Simplify 0 into 0 6.154 * [taylor]: Taking taylor expansion of 0 in K 6.154 * [backup-simplify]: Simplify 0 into 0 6.154 * [backup-simplify]: Simplify 0 into 0 6.154 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 6.154 * [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)))))) 6.154 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0 6.154 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 6.154 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 6.155 * [taylor]: Taking taylor expansion of 1 in K 6.155 * [backup-simplify]: Simplify 1 into 1 6.155 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 6.155 * [taylor]: Taking taylor expansion of 1/4 in K 6.155 * [backup-simplify]: Simplify 1/4 into 1/4 6.155 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 6.155 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.155 * [taylor]: Taking taylor expansion of J in K 6.155 * [backup-simplify]: Simplify J into J 6.155 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 6.155 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 6.155 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.155 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.155 * [taylor]: Taking taylor expansion of -1/2 in K 6.155 * [backup-simplify]: Simplify -1/2 into -1/2 6.155 * [taylor]: Taking taylor expansion of K in K 6.155 * [backup-simplify]: Simplify 0 into 0 6.155 * [backup-simplify]: Simplify 1 into 1 6.155 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.155 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.155 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.155 * [taylor]: Taking taylor expansion of U in K 6.155 * [backup-simplify]: Simplify U into U 6.155 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.155 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.155 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.155 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.156 * [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))) 6.156 * [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)))) 6.156 * [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))))) 6.156 * [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)))))) 6.156 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.156 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 6.156 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.156 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 6.157 * [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 6.157 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 6.158 * [backup-simplify]: Simplify (+ 0 0) into 0 6.158 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 6.158 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 6.158 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 6.158 * [taylor]: Taking taylor expansion of 1 in J 6.158 * [backup-simplify]: Simplify 1 into 1 6.158 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 6.158 * [taylor]: Taking taylor expansion of 1/4 in J 6.158 * [backup-simplify]: Simplify 1/4 into 1/4 6.158 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 6.158 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.158 * [taylor]: Taking taylor expansion of J in J 6.158 * [backup-simplify]: Simplify 0 into 0 6.158 * [backup-simplify]: Simplify 1 into 1 6.158 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 6.158 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 6.158 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.158 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.158 * [taylor]: Taking taylor expansion of -1/2 in J 6.158 * [backup-simplify]: Simplify -1/2 into -1/2 6.158 * [taylor]: Taking taylor expansion of K in J 6.158 * [backup-simplify]: Simplify K into K 6.158 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.158 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.158 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.158 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.158 * [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 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.159 * [taylor]: Taking taylor expansion of U in J 6.159 * [backup-simplify]: Simplify U into U 6.159 * [backup-simplify]: Simplify (* 1 1) into 1 6.159 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.159 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.159 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.159 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.160 * [backup-simplify]: Simplify (+ 1 0) into 1 6.160 * [backup-simplify]: Simplify (sqrt 1) into 1 6.160 * [backup-simplify]: Simplify (+ 0 0) into 0 6.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.161 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 6.161 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 6.161 * [taylor]: Taking taylor expansion of 1 in U 6.161 * [backup-simplify]: Simplify 1 into 1 6.161 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 6.161 * [taylor]: Taking taylor expansion of 1/4 in U 6.161 * [backup-simplify]: Simplify 1/4 into 1/4 6.161 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 6.161 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.161 * [taylor]: Taking taylor expansion of J in U 6.161 * [backup-simplify]: Simplify J into J 6.161 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 6.161 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 6.161 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.161 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.161 * [taylor]: Taking taylor expansion of -1/2 in U 6.161 * [backup-simplify]: Simplify -1/2 into -1/2 6.161 * [taylor]: Taking taylor expansion of K in U 6.161 * [backup-simplify]: Simplify K into K 6.161 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.161 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.161 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.161 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.161 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.161 * [backup-simplify]: Simplify (- 0) into 0 6.161 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.161 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.161 * [taylor]: Taking taylor expansion of U in U 6.162 * [backup-simplify]: Simplify 0 into 0 6.162 * [backup-simplify]: Simplify 1 into 1 6.162 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.162 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.162 * [backup-simplify]: Simplify (* 1 1) into 1 6.162 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 6.162 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 6.162 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 6.162 * [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))) 6.162 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 6.163 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.163 * [backup-simplify]: Simplify (+ 0) into 0 6.164 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.164 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.164 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.164 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.165 * [backup-simplify]: Simplify (- 0) into 0 6.165 * [backup-simplify]: Simplify (+ 0 0) into 0 6.165 * [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 6.166 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 6.166 * [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 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 6.166 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 6.166 * [taylor]: Taking taylor expansion of 1 in U 6.166 * [backup-simplify]: Simplify 1 into 1 6.166 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 6.166 * [taylor]: Taking taylor expansion of 1/4 in U 6.166 * [backup-simplify]: Simplify 1/4 into 1/4 6.166 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 6.167 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.167 * [taylor]: Taking taylor expansion of J in U 6.167 * [backup-simplify]: Simplify J into J 6.167 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 6.167 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 6.167 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.167 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.167 * [taylor]: Taking taylor expansion of -1/2 in U 6.167 * [backup-simplify]: Simplify -1/2 into -1/2 6.167 * [taylor]: Taking taylor expansion of K in U 6.167 * [backup-simplify]: Simplify K into K 6.167 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.167 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.167 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.167 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.167 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.167 * [backup-simplify]: Simplify (- 0) into 0 6.167 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.167 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.167 * [taylor]: Taking taylor expansion of U in U 6.167 * [backup-simplify]: Simplify 0 into 0 6.167 * [backup-simplify]: Simplify 1 into 1 6.167 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.167 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.168 * [backup-simplify]: Simplify (* 1 1) into 1 6.168 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 6.168 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 6.168 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 6.168 * [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))) 6.168 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 6.168 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.169 * [backup-simplify]: Simplify (+ 0) into 0 6.169 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.169 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.170 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.170 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.170 * [backup-simplify]: Simplify (- 0) into 0 6.171 * [backup-simplify]: Simplify (+ 0 0) into 0 6.171 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.171 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 6.171 * [backup-simplify]: 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 6.172 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 6.172 * [backup-simplify]: Simplify (+ 0 0) into 0 6.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 6.172 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 6.172 * [taylor]: Taking taylor expansion of 1/2 in J 6.172 * [backup-simplify]: Simplify 1/2 into 1/2 6.172 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 6.172 * [taylor]: Taking taylor expansion of J in J 6.172 * [backup-simplify]: Simplify 0 into 0 6.172 * [backup-simplify]: Simplify 1 into 1 6.172 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.172 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.172 * [taylor]: Taking taylor expansion of -1/2 in J 6.172 * [backup-simplify]: Simplify -1/2 into -1/2 6.172 * [taylor]: Taking taylor expansion of K in J 6.172 * [backup-simplify]: Simplify K into K 6.172 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.172 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.172 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.173 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.173 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.173 * [backup-simplify]: Simplify (- 0) into 0 6.173 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.173 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 6.173 * [taylor]: Taking taylor expansion of 0 in J 6.173 * [backup-simplify]: Simplify 0 into 0 6.173 * [taylor]: Taking taylor expansion of 0 in K 6.173 * [backup-simplify]: Simplify 0 into 0 6.173 * [backup-simplify]: Simplify 0 into 0 6.173 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 6.173 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 6.173 * [taylor]: Taking taylor expansion of 1/2 in K 6.173 * [backup-simplify]: Simplify 1/2 into 1/2 6.173 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.173 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.173 * [taylor]: Taking taylor expansion of -1/2 in K 6.173 * [backup-simplify]: Simplify -1/2 into -1/2 6.173 * [taylor]: Taking taylor expansion of K in K 6.173 * [backup-simplify]: Simplify 0 into 0 6.173 * [backup-simplify]: Simplify 1 into 1 6.174 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.174 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.174 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 6.174 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 6.174 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.175 * [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 6.176 * [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 6.177 * [backup-simplify]: Simplify (- 0) into 0 6.177 * [backup-simplify]: Simplify (+ 0 0) into 0 6.177 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 6.178 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 6.179 * [backup-simplify]: 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 6.180 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 6.180 * [backup-simplify]: Simplify (+ 1 0) into 1 6.181 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 6.181 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 6.181 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.181 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.181 * [taylor]: Taking taylor expansion of -1/2 in J 6.181 * [backup-simplify]: Simplify -1/2 into -1/2 6.181 * [taylor]: Taking taylor expansion of K in J 6.181 * [backup-simplify]: Simplify K into K 6.181 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.181 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.182 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.182 * [taylor]: Taking taylor expansion of J in J 6.182 * [backup-simplify]: Simplify 0 into 0 6.182 * [backup-simplify]: Simplify 1 into 1 6.182 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.182 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.182 * [backup-simplify]: Simplify (- 0) into 0 6.182 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.182 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.183 * [backup-simplify]: Simplify (+ 0) into 0 6.183 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.184 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.185 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.185 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.185 * [backup-simplify]: Simplify (- 0) into 0 6.186 * [backup-simplify]: Simplify (+ 0 0) into 0 6.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 6.187 * [taylor]: Taking taylor expansion of 0 in K 6.187 * [backup-simplify]: Simplify 0 into 0 6.187 * [backup-simplify]: Simplify 0 into 0 6.187 * [taylor]: Taking taylor expansion of 0 in K 6.187 * [backup-simplify]: Simplify 0 into 0 6.187 * [backup-simplify]: Simplify 0 into 0 6.188 * [backup-simplify]: Simplify (+ 0) into 0 6.188 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.188 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.189 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.190 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.190 * [backup-simplify]: Simplify (- 0) into 0 6.191 * [backup-simplify]: Simplify (+ 0 0) into 0 6.191 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 6.192 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 6.192 * [taylor]: Taking taylor expansion of 0 in K 6.192 * [backup-simplify]: Simplify 0 into 0 6.192 * [backup-simplify]: Simplify 0 into 0 6.192 * [backup-simplify]: Simplify 0 into 0 6.192 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 6.192 * [backup-simplify]: Simplify 0 into 0 6.193 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 6.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.195 * [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 6.196 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.198 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.199 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.199 * [backup-simplify]: Simplify (- 0) into 0 6.200 * [backup-simplify]: Simplify (+ 0 0) into 0 6.200 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 6.201 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.202 * [backup-simplify]: 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 6.204 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 6.204 * [backup-simplify]: Simplify (+ 0 0) into 0 6.204 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 6.204 * [taylor]: Taking taylor expansion of 0 in J 6.204 * [backup-simplify]: Simplify 0 into 0 6.204 * [taylor]: Taking taylor expansion of 0 in K 6.204 * [backup-simplify]: Simplify 0 into 0 6.204 * [backup-simplify]: Simplify 0 into 0 6.205 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 6.205 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 6.205 * [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) 6.205 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in (U J K) around 0 6.205 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in K 6.205 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 6.205 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 6.205 * [taylor]: Taking taylor expansion of 1/4 in K 6.205 * [backup-simplify]: Simplify 1/4 into 1/4 6.205 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 6.205 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 6.206 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 6.206 * [taylor]: Taking taylor expansion of 1/4 in K 6.206 * [backup-simplify]: Simplify 1/4 into 1/4 6.206 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 6.206 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.206 * [taylor]: Taking taylor expansion of U in K 6.206 * [backup-simplify]: Simplify U into U 6.206 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 6.206 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 6.206 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 6.206 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 6.206 * [taylor]: Taking taylor expansion of 1/2 in K 6.206 * [backup-simplify]: Simplify 1/2 into 1/2 6.206 * [taylor]: Taking taylor expansion of K in K 6.206 * [backup-simplify]: Simplify 0 into 0 6.206 * [backup-simplify]: Simplify 1 into 1 6.207 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.207 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.207 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.208 * [taylor]: Taking taylor expansion of J in K 6.208 * [backup-simplify]: Simplify J into J 6.208 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.208 * [backup-simplify]: Simplify (* 1 1) into 1 6.208 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.208 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 6.208 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 6.208 * [taylor]: Taking taylor expansion of 1 in K 6.208 * [backup-simplify]: Simplify 1 into 1 6.209 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 6.209 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 6.209 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 6.209 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 6.210 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4) 6.210 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in J 6.210 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 6.210 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 6.210 * [taylor]: Taking taylor expansion of 1/4 in J 6.210 * [backup-simplify]: Simplify 1/4 into 1/4 6.210 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 6.210 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 6.210 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 6.210 * [taylor]: Taking taylor expansion of 1/4 in J 6.210 * [backup-simplify]: Simplify 1/4 into 1/4 6.210 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 6.210 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.210 * [taylor]: Taking taylor expansion of U in J 6.210 * [backup-simplify]: Simplify U into U 6.210 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 6.210 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 6.210 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.210 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.210 * [taylor]: Taking taylor expansion of 1/2 in J 6.210 * [backup-simplify]: Simplify 1/2 into 1/2 6.210 * [taylor]: Taking taylor expansion of K in J 6.210 * [backup-simplify]: Simplify K into K 6.210 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.210 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.210 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.211 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.211 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.211 * [backup-simplify]: Simplify (- 0) into 0 6.211 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.211 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.211 * [taylor]: Taking taylor expansion of J in J 6.211 * [backup-simplify]: Simplify 0 into 0 6.211 * [backup-simplify]: Simplify 1 into 1 6.212 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.212 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.212 * [backup-simplify]: Simplify (* 1 1) into 1 6.212 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 6.212 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 6.212 * [taylor]: Taking taylor expansion of 1 in J 6.213 * [backup-simplify]: Simplify 1 into 1 6.213 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 6.213 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 6.213 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 6.214 * [backup-simplify]: Simplify (+ (* (- 2) (log J)) (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))) 6.214 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) into (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) 6.215 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) 6.215 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in U 6.215 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 6.215 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 6.215 * [taylor]: Taking taylor expansion of 1/4 in U 6.215 * [backup-simplify]: Simplify 1/4 into 1/4 6.215 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 6.215 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 6.215 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 6.215 * [taylor]: Taking taylor expansion of 1/4 in U 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 U 6.215 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.215 * [taylor]: Taking taylor expansion of U in U 6.215 * [backup-simplify]: Simplify 0 into 0 6.215 * [backup-simplify]: Simplify 1 into 1 6.215 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 6.215 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 6.215 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.215 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 6.215 * [taylor]: Taking taylor expansion of 1/2 in U 6.215 * [backup-simplify]: Simplify 1/2 into 1/2 6.215 * [taylor]: Taking taylor expansion of K in U 6.215 * [backup-simplify]: Simplify K into K 6.215 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.215 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.215 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.216 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.216 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.216 * [backup-simplify]: Simplify (- 0) into 0 6.216 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.216 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.217 * [taylor]: Taking taylor expansion of J in U 6.217 * [backup-simplify]: Simplify J into J 6.217 * [backup-simplify]: Simplify (* 1 1) into 1 6.218 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.218 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.218 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 6.218 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.218 * [taylor]: Taking taylor expansion of 1 in U 6.218 * [backup-simplify]: Simplify 1 into 1 6.219 * [backup-simplify]: Simplify (+ 0 1) into 1 6.219 * [backup-simplify]: Simplify (log 1) into 0 6.220 * [backup-simplify]: Simplify (* 1/4 0) into 0 6.220 * [backup-simplify]: Simplify (+ 0 0) into 0 6.222 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.223 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 6.223 * [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))) 6.223 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 6.225 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.226 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 6.226 * [backup-simplify]: Simplify (exp 0) into 1 6.226 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in U 6.226 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 6.227 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 6.227 * [taylor]: Taking taylor expansion of 1/4 in U 6.227 * [backup-simplify]: Simplify 1/4 into 1/4 6.227 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 6.227 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 6.227 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 6.227 * [taylor]: Taking taylor expansion of 1/4 in U 6.227 * [backup-simplify]: Simplify 1/4 into 1/4 6.227 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 6.227 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.227 * [taylor]: Taking taylor expansion of U in U 6.227 * [backup-simplify]: Simplify 0 into 0 6.227 * [backup-simplify]: Simplify 1 into 1 6.227 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 6.227 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 6.227 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.227 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 6.227 * [taylor]: Taking taylor expansion of 1/2 in U 6.227 * [backup-simplify]: Simplify 1/2 into 1/2 6.227 * [taylor]: Taking taylor expansion of K in U 6.227 * [backup-simplify]: Simplify K into K 6.227 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.227 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.227 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.227 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.227 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.228 * [backup-simplify]: Simplify (- 0) into 0 6.228 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.228 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.228 * [taylor]: Taking taylor expansion of J in U 6.228 * [backup-simplify]: Simplify J into J 6.229 * [backup-simplify]: Simplify (* 1 1) into 1 6.229 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.229 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.229 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 6.229 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.229 * [taylor]: Taking taylor expansion of 1 in U 6.230 * [backup-simplify]: Simplify 1 into 1 6.230 * [backup-simplify]: Simplify (+ 0 1) into 1 6.231 * [backup-simplify]: Simplify (log 1) into 0 6.231 * [backup-simplify]: Simplify (* 1/4 0) into 0 6.231 * [backup-simplify]: Simplify (+ 0 0) into 0 6.233 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.233 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 6.234 * [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))) 6.234 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 6.236 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.237 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 6.237 * [backup-simplify]: Simplify (exp 0) into 1 6.237 * [taylor]: Taking taylor expansion of 1 in J 6.237 * [backup-simplify]: Simplify 1 into 1 6.237 * [taylor]: Taking taylor expansion of 1 in K 6.237 * [backup-simplify]: Simplify 1 into 1 6.237 * [backup-simplify]: Simplify 1 into 1 6.238 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 6.238 * [taylor]: Taking taylor expansion of 0 in J 6.238 * [backup-simplify]: Simplify 0 into 0 6.238 * [taylor]: Taking taylor expansion of 0 in K 6.238 * [backup-simplify]: Simplify 0 into 0 6.238 * [backup-simplify]: Simplify 0 into 0 6.238 * [taylor]: Taking taylor expansion of 0 in K 6.239 * [backup-simplify]: Simplify 0 into 0 6.239 * [backup-simplify]: Simplify 0 into 0 6.239 * [backup-simplify]: Simplify 0 into 0 6.240 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1)))) into (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.240 * [taylor]: Taking taylor expansion of (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 6.240 * [taylor]: Taking taylor expansion of 1/16 in J 6.240 * [backup-simplify]: Simplify 1/16 into 1/16 6.240 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 6.240 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 6.240 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.240 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.240 * [taylor]: Taking taylor expansion of 1/2 in J 6.240 * [backup-simplify]: Simplify 1/2 into 1/2 6.240 * [taylor]: Taking taylor expansion of K in J 6.240 * [backup-simplify]: Simplify K into K 6.240 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.240 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.240 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.240 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.240 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.241 * [backup-simplify]: Simplify (- 0) into 0 6.241 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.241 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.241 * [taylor]: Taking taylor expansion of J in J 6.241 * [backup-simplify]: Simplify 0 into 0 6.241 * [backup-simplify]: Simplify 1 into 1 6.241 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.241 * [backup-simplify]: Simplify (* 1 1) into 1 6.242 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 6.242 * [backup-simplify]: Simplify (/ 1/16 (pow (cos (* 1/2 K)) 2)) into (/ 1/16 (pow (cos (* 1/2 K)) 2)) 6.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.243 * [backup-simplify]: Simplify (+ 0) into 0 6.243 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.244 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.245 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.245 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.246 * [backup-simplify]: Simplify (- 0) into 0 6.246 * [backup-simplify]: Simplify (+ 0 0) into 0 6.246 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 6.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.248 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.248 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.249 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 6.250 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.251 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.251 * [backup-simplify]: Simplify (- 0) into 0 6.251 * [backup-simplify]: Simplify (+ 0 0) into 0 6.252 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 6.253 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 6.253 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 6.254 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/16 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 6.254 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/16 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 6.254 * [taylor]: Taking taylor expansion of 0 in K 6.254 * [backup-simplify]: Simplify 0 into 0 6.254 * [backup-simplify]: Simplify 0 into 0 6.254 * [taylor]: Taking taylor expansion of 0 in K 6.254 * [backup-simplify]: Simplify 0 into 0 6.254 * [backup-simplify]: Simplify 0 into 0 6.254 * [taylor]: Taking taylor expansion of 0 in K 6.254 * [backup-simplify]: Simplify 0 into 0 6.254 * [backup-simplify]: Simplify 0 into 0 6.254 * [backup-simplify]: Simplify 1 into 1 6.255 * [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) 6.255 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in (U J K) around 0 6.255 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in K 6.255 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in K 6.255 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in K 6.255 * [taylor]: Taking taylor expansion of 1/4 in K 6.255 * [backup-simplify]: Simplify 1/4 into 1/4 6.255 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 6.255 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 6.255 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 6.255 * [taylor]: Taking taylor expansion of 1/4 in K 6.255 * [backup-simplify]: Simplify 1/4 into 1/4 6.255 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 6.255 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.255 * [taylor]: Taking taylor expansion of J in K 6.255 * [backup-simplify]: Simplify J into J 6.255 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 6.255 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.256 * [taylor]: Taking taylor expansion of U in K 6.256 * [backup-simplify]: Simplify U into U 6.256 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 6.256 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.256 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.256 * [taylor]: Taking taylor expansion of 1/2 in K 6.256 * [backup-simplify]: Simplify 1/2 into 1/2 6.256 * [taylor]: Taking taylor expansion of K in K 6.256 * [backup-simplify]: Simplify 0 into 0 6.256 * [backup-simplify]: Simplify 1 into 1 6.256 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.256 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.256 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.256 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.256 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.257 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.257 * [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))) 6.257 * [taylor]: Taking taylor expansion of 1 in K 6.257 * [backup-simplify]: Simplify 1 into 1 6.257 * [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)))) 6.258 * [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) 6.258 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 6.259 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) 6.259 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) 6.259 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in J 6.259 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in J 6.259 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in J 6.259 * [taylor]: Taking taylor expansion of 1/4 in J 6.259 * [backup-simplify]: Simplify 1/4 into 1/4 6.259 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 6.259 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 6.259 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 6.259 * [taylor]: Taking taylor expansion of 1/4 in J 6.259 * [backup-simplify]: Simplify 1/4 into 1/4 6.259 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 6.259 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.259 * [taylor]: Taking taylor expansion of J in J 6.259 * [backup-simplify]: Simplify 0 into 0 6.259 * [backup-simplify]: Simplify 1 into 1 6.259 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 6.259 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.259 * [taylor]: Taking taylor expansion of U in J 6.260 * [backup-simplify]: Simplify U into U 6.260 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.260 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.260 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.260 * [taylor]: Taking taylor expansion of 1/2 in J 6.260 * [backup-simplify]: Simplify 1/2 into 1/2 6.260 * [taylor]: Taking taylor expansion of K in J 6.260 * [backup-simplify]: Simplify K into K 6.260 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.260 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.260 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.260 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.260 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.260 * [backup-simplify]: Simplify (- 0) into 0 6.261 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.261 * [backup-simplify]: Simplify (* 1 1) into 1 6.261 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.261 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.261 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.261 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 6.262 * [taylor]: Taking taylor expansion of 1 in J 6.262 * [backup-simplify]: Simplify 1 into 1 6.262 * [backup-simplify]: Simplify (+ 0 1) into 1 6.262 * [backup-simplify]: Simplify (log 1) into 0 6.263 * [backup-simplify]: Simplify (* 1/4 0) into 0 6.263 * [backup-simplify]: Simplify (+ 0 0) into 0 6.265 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.265 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 6.265 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 6.266 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 6.268 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 6.269 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 6.269 * [backup-simplify]: Simplify (exp 0) into 1 6.269 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in U 6.269 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 6.269 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 6.269 * [taylor]: Taking taylor expansion of 1/4 in U 6.269 * [backup-simplify]: Simplify 1/4 into 1/4 6.269 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 6.269 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 6.270 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 6.270 * [taylor]: Taking taylor expansion of 1/4 in U 6.270 * [backup-simplify]: Simplify 1/4 into 1/4 6.270 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 6.270 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.270 * [taylor]: Taking taylor expansion of J in U 6.270 * [backup-simplify]: Simplify J into J 6.270 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 6.270 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.270 * [taylor]: Taking taylor expansion of U in U 6.270 * [backup-simplify]: Simplify 0 into 0 6.270 * [backup-simplify]: Simplify 1 into 1 6.270 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 6.270 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.270 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.270 * [taylor]: Taking taylor expansion of 1/2 in U 6.270 * [backup-simplify]: Simplify 1/2 into 1/2 6.270 * [taylor]: Taking taylor expansion of K in U 6.270 * [backup-simplify]: Simplify K into K 6.270 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.270 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.270 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.270 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.270 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.271 * [backup-simplify]: Simplify (- 0) into 0 6.271 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.271 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.271 * [backup-simplify]: Simplify (* 1 1) into 1 6.272 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.272 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 6.272 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 6.272 * [taylor]: Taking taylor expansion of 1 in U 6.272 * [backup-simplify]: Simplify 1 into 1 6.272 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 6.272 * [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))) 6.273 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 6.273 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 6.274 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 6.274 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 6.274 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in U 6.274 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 6.274 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 6.274 * [taylor]: Taking taylor expansion of 1/4 in U 6.274 * [backup-simplify]: Simplify 1/4 into 1/4 6.274 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 6.274 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 6.274 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 6.274 * [taylor]: Taking taylor expansion of 1/4 in U 6.274 * [backup-simplify]: Simplify 1/4 into 1/4 6.274 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 6.274 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.274 * [taylor]: Taking taylor expansion of J in U 6.274 * [backup-simplify]: Simplify J into J 6.274 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 6.274 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.274 * [taylor]: Taking taylor expansion of U in U 6.274 * [backup-simplify]: Simplify 0 into 0 6.274 * [backup-simplify]: Simplify 1 into 1 6.274 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 6.274 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.274 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.274 * [taylor]: Taking taylor expansion of 1/2 in U 6.275 * [backup-simplify]: Simplify 1/2 into 1/2 6.275 * [taylor]: Taking taylor expansion of K in U 6.275 * [backup-simplify]: Simplify K into K 6.275 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.275 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.275 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.275 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.275 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.275 * [backup-simplify]: Simplify (- 0) into 0 6.275 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.276 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.276 * [backup-simplify]: Simplify (* 1 1) into 1 6.276 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.276 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 6.276 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 6.276 * [taylor]: Taking taylor expansion of 1 in U 6.276 * [backup-simplify]: Simplify 1 into 1 6.277 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 6.277 * [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))) 6.277 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 6.278 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 6.278 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 6.278 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 6.279 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 6.279 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 6.279 * [taylor]: Taking taylor expansion of 1/4 in J 6.279 * [backup-simplify]: Simplify 1/4 into 1/4 6.279 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 6.279 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 6.279 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 6.279 * [taylor]: Taking taylor expansion of 1/4 in J 6.279 * [backup-simplify]: Simplify 1/4 into 1/4 6.279 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 6.279 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.279 * [taylor]: Taking taylor expansion of J in J 6.279 * [backup-simplify]: Simplify 0 into 0 6.279 * [backup-simplify]: Simplify 1 into 1 6.279 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.279 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.279 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.279 * [taylor]: Taking taylor expansion of 1/2 in J 6.279 * [backup-simplify]: Simplify 1/2 into 1/2 6.279 * [taylor]: Taking taylor expansion of K in J 6.279 * [backup-simplify]: Simplify K into K 6.279 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.279 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.279 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.279 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.279 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.280 * [backup-simplify]: Simplify (- 0) into 0 6.280 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.280 * [backup-simplify]: Simplify (* 1 1) into 1 6.281 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.281 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 6.281 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 6.281 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 6.281 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 6.281 * [taylor]: Taking taylor expansion of 2 in J 6.281 * [backup-simplify]: Simplify 2 into 2 6.281 * [taylor]: Taking taylor expansion of (log U) in J 6.281 * [taylor]: Taking taylor expansion of U in J 6.281 * [backup-simplify]: Simplify U into U 6.281 * [backup-simplify]: Simplify (log U) into (log U) 6.282 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 6.282 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 6.282 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 6.282 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 6.282 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 6.283 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 6.283 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 6.283 * [taylor]: Taking taylor expansion of (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 6.283 * [taylor]: Taking taylor expansion of 1/4 in K 6.283 * [backup-simplify]: Simplify 1/4 into 1/4 6.283 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 6.283 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) in K 6.283 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 6.283 * [taylor]: Taking taylor expansion of 2 in K 6.283 * [backup-simplify]: Simplify 2 into 2 6.283 * [taylor]: Taking taylor expansion of (log J) in K 6.283 * [taylor]: Taking taylor expansion of J in K 6.283 * [backup-simplify]: Simplify J into J 6.283 * [backup-simplify]: Simplify (log J) into (log J) 6.283 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) in K 6.283 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K 6.283 * [taylor]: Taking taylor expansion of 1/4 in K 6.283 * [backup-simplify]: Simplify 1/4 into 1/4 6.283 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 6.283 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.283 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.283 * [taylor]: Taking taylor expansion of 1/2 in K 6.283 * [backup-simplify]: Simplify 1/2 into 1/2 6.283 * [taylor]: Taking taylor expansion of K in K 6.283 * [backup-simplify]: Simplify 0 into 0 6.283 * [backup-simplify]: Simplify 1 into 1 6.284 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.284 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.284 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.284 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 6.284 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 6.284 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 6.284 * [taylor]: Taking taylor expansion of 2 in K 6.285 * [backup-simplify]: Simplify 2 into 2 6.285 * [taylor]: Taking taylor expansion of (log U) in K 6.285 * [taylor]: Taking taylor expansion of U in K 6.285 * [backup-simplify]: Simplify U into U 6.285 * [backup-simplify]: Simplify (log U) into (log U) 6.285 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 6.285 * [backup-simplify]: Simplify (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 6.285 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 6.285 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 6.285 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 6.286 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 6.286 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 6.286 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 6.286 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.287 * [backup-simplify]: Simplify (+ 0) into 0 6.287 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.288 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.289 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.289 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.290 * [backup-simplify]: Simplify (- 0) into 0 6.290 * [backup-simplify]: Simplify (+ 0 0) into 0 6.290 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.292 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.293 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 6.293 * [backup-simplify]: Simplify (+ 0 0) into 0 6.294 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 6.295 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 6.295 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 6.301 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.301 * [taylor]: Taking taylor expansion of 0 in J 6.301 * [backup-simplify]: Simplify 0 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 6.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.303 * [backup-simplify]: Simplify (+ 0) into 0 6.304 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.304 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.305 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.305 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.306 * [backup-simplify]: Simplify (- 0) into 0 6.306 * [backup-simplify]: Simplify (+ 0 0) into 0 6.306 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.307 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 6.307 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 6.308 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 6.309 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 6.310 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 6.310 * [backup-simplify]: Simplify (- 0) into 0 6.310 * [backup-simplify]: Simplify (+ 0 0) into 0 6.311 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 6.312 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.312 * [taylor]: Taking taylor expansion of 0 in K 6.312 * [backup-simplify]: Simplify 0 into 0 6.312 * [backup-simplify]: Simplify 0 into 0 6.313 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 6.314 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 6.314 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.314 * [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 6.315 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 6.315 * [backup-simplify]: Simplify (+ 0 0) into 0 6.316 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 6.316 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 6.317 * [backup-simplify]: Simplify (- 0) into 0 6.317 * [backup-simplify]: Simplify (+ 0 0) into 0 6.318 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 6.319 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.319 * [backup-simplify]: Simplify 0 into 0 6.320 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.320 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.321 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.321 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.322 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.323 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.323 * [backup-simplify]: Simplify (- 0) into 0 6.323 * [backup-simplify]: Simplify (+ 0 0) into 0 6.324 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 6.326 * [backup-simplify]: 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 6.327 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 6.328 * [backup-simplify]: Simplify (+ 0 1) into 1 6.330 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 6.330 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 6.331 * [backup-simplify]: Simplify (+ (* 1/4 (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 6.333 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 1) 1)))) into (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) 6.333 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in J 6.333 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in J 6.333 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 6.333 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 6.333 * [taylor]: Taking taylor expansion of 1/4 in J 6.333 * [backup-simplify]: Simplify 1/4 into 1/4 6.333 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 6.333 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 6.333 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 6.334 * [taylor]: Taking taylor expansion of 1/4 in J 6.334 * [backup-simplify]: Simplify 1/4 into 1/4 6.334 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 6.334 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.334 * [taylor]: Taking taylor expansion of J in J 6.334 * [backup-simplify]: Simplify 0 into 0 6.334 * [backup-simplify]: Simplify 1 into 1 6.334 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.334 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.334 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.334 * [taylor]: Taking taylor expansion of 1/2 in J 6.334 * [backup-simplify]: Simplify 1/2 into 1/2 6.334 * [taylor]: Taking taylor expansion of K in J 6.334 * [backup-simplify]: Simplify K into K 6.334 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.334 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.334 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.334 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.334 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.335 * [backup-simplify]: Simplify (- 0) into 0 6.335 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.335 * [backup-simplify]: Simplify (* 1 1) into 1 6.335 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.335 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 6.336 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 6.336 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 6.336 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 6.336 * [taylor]: Taking taylor expansion of 2 in J 6.336 * [backup-simplify]: Simplify 2 into 2 6.336 * [taylor]: Taking taylor expansion of (log U) in J 6.336 * [taylor]: Taking taylor expansion of U in J 6.336 * [backup-simplify]: Simplify U into U 6.336 * [backup-simplify]: Simplify (log U) into (log U) 6.336 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 6.337 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 6.337 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 6.337 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 6.337 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 6.338 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 6.338 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.338 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.338 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.338 * [taylor]: Taking taylor expansion of 1/2 in J 6.338 * [backup-simplify]: Simplify 1/2 into 1/2 6.338 * [taylor]: Taking taylor expansion of K in J 6.338 * [backup-simplify]: Simplify K into K 6.338 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.338 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.338 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.338 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.338 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.339 * [backup-simplify]: Simplify (- 0) into 0 6.339 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.339 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.339 * [taylor]: Taking taylor expansion of J in J 6.339 * [backup-simplify]: Simplify 0 into 0 6.339 * [backup-simplify]: Simplify 1 into 1 6.339 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.339 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 6.340 * [backup-simplify]: Simplify (* 1 1) into 1 6.340 * [backup-simplify]: Simplify (/ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 1) into (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 6.340 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.341 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.342 * [backup-simplify]: Simplify (+ 0) into 0 6.342 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.342 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.343 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.343 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.344 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.344 * [backup-simplify]: Simplify (- 0) into 0 6.344 * [backup-simplify]: Simplify (+ 0 0) into 0 6.344 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.345 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.345 * [backup-simplify]: Simplify (- 0) into 0 6.345 * [backup-simplify]: Simplify (+ 0 0) into 0 6.346 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.346 * [backup-simplify]: Simplify (+ 0) into 0 6.347 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.347 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.347 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.348 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.348 * [backup-simplify]: Simplify (- 0) into 0 6.348 * [backup-simplify]: Simplify (+ 0 0) into 0 6.348 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.348 * [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 6.349 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 6.349 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 6.350 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 6.350 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 6.350 * [backup-simplify]: Simplify (- 0) into 0 6.351 * [backup-simplify]: Simplify (+ 0 0) into 0 6.351 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 6.352 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.352 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.353 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.353 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.353 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.354 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.354 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 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)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.355 * [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 6.356 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 6.357 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 6.358 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 6.359 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 6.359 * [backup-simplify]: Simplify (- 0) into 0 6.359 * [backup-simplify]: Simplify (+ 0 0) into 0 6.360 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 6.361 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.361 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 6.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.363 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)))) into 0 6.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.367 * [taylor]: Taking taylor expansion of 0 in K 6.367 * [backup-simplify]: Simplify 0 into 0 6.367 * [backup-simplify]: Simplify 0 into 0 6.368 * [taylor]: Taking taylor expansion of 0 in K 6.368 * [backup-simplify]: Simplify 0 into 0 6.368 * [backup-simplify]: Simplify 0 into 0 6.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.370 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.370 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.370 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.371 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.372 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 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 (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.374 * [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 6.375 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 6.376 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 6.378 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 6.379 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 6.379 * [backup-simplify]: Simplify (- 0) into 0 6.380 * [backup-simplify]: Simplify (+ 0 0) into 0 6.381 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 6.382 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.382 * [taylor]: Taking taylor expansion of 0 in K 6.382 * [backup-simplify]: Simplify 0 into 0 6.382 * [backup-simplify]: Simplify 0 into 0 6.383 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log (/ 1 J))) (log (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)))) (* 2 (log (/ 1 U)))))) into (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) 6.384 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ (/ 1 (- U)) (* (+ (/ 1 (- J)) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (+ (/ 1 (- J)) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) 1))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) 6.384 * [approximate]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in (U J K) around 0 6.384 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in K 6.384 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 6.384 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 6.384 * [taylor]: Taking taylor expansion of 1/4 in K 6.384 * [backup-simplify]: Simplify 1/4 into 1/4 6.384 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 6.384 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 6.384 * [taylor]: Taking taylor expansion of 1 in K 6.384 * [backup-simplify]: Simplify 1 into 1 6.384 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 6.384 * [taylor]: Taking taylor expansion of 1/4 in K 6.384 * [backup-simplify]: Simplify 1/4 into 1/4 6.384 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 6.384 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.384 * [taylor]: Taking taylor expansion of J in K 6.384 * [backup-simplify]: Simplify J into J 6.384 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 6.384 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 6.384 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.384 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.384 * [taylor]: Taking taylor expansion of -1/2 in K 6.384 * [backup-simplify]: Simplify -1/2 into -1/2 6.384 * [taylor]: Taking taylor expansion of K in K 6.384 * [backup-simplify]: Simplify 0 into 0 6.384 * [backup-simplify]: Simplify 1 into 1 6.385 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.385 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.385 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.385 * [taylor]: Taking taylor expansion of U in K 6.385 * [backup-simplify]: Simplify U into U 6.385 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.385 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.385 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.386 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.386 * [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))) 6.386 * [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)))) 6.386 * [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))))) 6.387 * [backup-simplify]: Simplify (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 6.387 * [backup-simplify]: Simplify (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 6.388 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) 6.388 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in J 6.388 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 6.388 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 6.388 * [taylor]: Taking taylor expansion of 1/4 in J 6.388 * [backup-simplify]: Simplify 1/4 into 1/4 6.388 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 6.388 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 6.388 * [taylor]: Taking taylor expansion of 1 in J 6.388 * [backup-simplify]: Simplify 1 into 1 6.388 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 6.388 * [taylor]: Taking taylor expansion of 1/4 in J 6.388 * [backup-simplify]: Simplify 1/4 into 1/4 6.388 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 6.388 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.388 * [taylor]: Taking taylor expansion of J in J 6.388 * [backup-simplify]: Simplify 0 into 0 6.388 * [backup-simplify]: Simplify 1 into 1 6.388 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 6.388 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 6.388 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.388 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.388 * [taylor]: Taking taylor expansion of -1/2 in J 6.388 * [backup-simplify]: Simplify -1/2 into -1/2 6.388 * [taylor]: Taking taylor expansion of K in J 6.388 * [backup-simplify]: Simplify K into K 6.389 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.389 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.389 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.389 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.389 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.389 * [backup-simplify]: Simplify (- 0) into 0 6.390 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.390 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.390 * [taylor]: Taking taylor expansion of U in J 6.390 * [backup-simplify]: Simplify U into U 6.390 * [backup-simplify]: Simplify (* 1 1) into 1 6.390 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.390 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.390 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.391 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.391 * [backup-simplify]: Simplify (+ 1 0) into 1 6.391 * [backup-simplify]: Simplify (log 1) into 0 6.392 * [backup-simplify]: Simplify (* 1/4 0) into 0 6.392 * [backup-simplify]: Simplify (+ 0 0) into 0 6.394 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.394 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 6.395 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.395 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 6.397 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.398 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 6.398 * [backup-simplify]: Simplify (exp 0) into 1 6.398 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in U 6.398 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 6.398 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 6.398 * [taylor]: Taking taylor expansion of 1/4 in U 6.398 * [backup-simplify]: Simplify 1/4 into 1/4 6.398 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 6.399 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 6.399 * [taylor]: Taking taylor expansion of 1 in U 6.399 * [backup-simplify]: Simplify 1 into 1 6.399 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 6.399 * [taylor]: Taking taylor expansion of 1/4 in U 6.399 * [backup-simplify]: Simplify 1/4 into 1/4 6.399 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 6.399 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.399 * [taylor]: Taking taylor expansion of J in U 6.399 * [backup-simplify]: Simplify J into J 6.399 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 6.399 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 6.399 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.399 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.399 * [taylor]: Taking taylor expansion of -1/2 in U 6.399 * [backup-simplify]: Simplify -1/2 into -1/2 6.399 * [taylor]: Taking taylor expansion of K in U 6.399 * [backup-simplify]: Simplify K into K 6.399 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.399 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.399 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.399 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.399 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.400 * [backup-simplify]: Simplify (- 0) into 0 6.400 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.400 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.400 * [taylor]: Taking taylor expansion of U in U 6.400 * [backup-simplify]: Simplify 0 into 0 6.400 * [backup-simplify]: Simplify 1 into 1 6.400 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.400 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.401 * [backup-simplify]: Simplify (* 1 1) into 1 6.401 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 6.401 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 6.401 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 6.401 * [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))) 6.402 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 6.402 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 6.403 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 6.403 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 6.403 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in U 6.403 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 6.403 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 6.403 * [taylor]: Taking taylor expansion of 1/4 in U 6.403 * [backup-simplify]: Simplify 1/4 into 1/4 6.403 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 6.403 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 6.403 * [taylor]: Taking taylor expansion of 1 in U 6.403 * [backup-simplify]: Simplify 1 into 1 6.403 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 6.403 * [taylor]: Taking taylor expansion of 1/4 in U 6.403 * [backup-simplify]: Simplify 1/4 into 1/4 6.403 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 6.403 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.403 * [taylor]: Taking taylor expansion of J in U 6.403 * [backup-simplify]: Simplify J into J 6.403 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 6.403 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 6.403 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.403 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.404 * [taylor]: Taking taylor expansion of -1/2 in U 6.404 * [backup-simplify]: Simplify -1/2 into -1/2 6.404 * [taylor]: Taking taylor expansion of K in U 6.404 * [backup-simplify]: Simplify K into K 6.404 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.404 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.404 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.404 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.404 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.404 * [backup-simplify]: Simplify (- 0) into 0 6.404 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.405 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.405 * [taylor]: Taking taylor expansion of U in U 6.405 * [backup-simplify]: Simplify 0 into 0 6.405 * [backup-simplify]: Simplify 1 into 1 6.405 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.405 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.405 * [backup-simplify]: Simplify (* 1 1) into 1 6.405 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 6.406 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 6.406 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 6.406 * [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))) 6.406 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 6.407 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 6.407 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 6.408 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 6.408 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 6.408 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 6.408 * [taylor]: Taking taylor expansion of 1/4 in J 6.408 * [backup-simplify]: Simplify 1/4 into 1/4 6.408 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 6.408 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 6.408 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 6.408 * [taylor]: Taking taylor expansion of 1/4 in J 6.408 * [backup-simplify]: Simplify 1/4 into 1/4 6.408 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 6.408 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.408 * [taylor]: Taking taylor expansion of J in J 6.408 * [backup-simplify]: Simplify 0 into 0 6.408 * [backup-simplify]: Simplify 1 into 1 6.408 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 6.408 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.408 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.408 * [taylor]: Taking taylor expansion of -1/2 in J 6.408 * [backup-simplify]: Simplify -1/2 into -1/2 6.408 * [taylor]: Taking taylor expansion of K in J 6.408 * [backup-simplify]: Simplify K into K 6.408 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.409 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.409 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.409 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.409 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.410 * [backup-simplify]: Simplify (- 0) into 0 6.410 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.410 * [backup-simplify]: Simplify (* 1 1) into 1 6.410 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.410 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 6.411 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 6.411 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 6.411 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 6.411 * [taylor]: Taking taylor expansion of 2 in J 6.411 * [backup-simplify]: Simplify 2 into 2 6.411 * [taylor]: Taking taylor expansion of (log U) in J 6.411 * [taylor]: Taking taylor expansion of U in J 6.411 * [backup-simplify]: Simplify U into U 6.411 * [backup-simplify]: Simplify (log U) into (log U) 6.412 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 6.412 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 6.412 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 6.412 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 6.412 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 6.413 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 6.413 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 6.413 * [taylor]: Taking taylor expansion of (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 6.413 * [taylor]: Taking taylor expansion of 1/4 in K 6.413 * [backup-simplify]: Simplify 1/4 into 1/4 6.413 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 6.413 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) in K 6.413 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 6.413 * [taylor]: Taking taylor expansion of 2 in K 6.413 * [backup-simplify]: Simplify 2 into 2 6.413 * [taylor]: Taking taylor expansion of (log J) in K 6.413 * [taylor]: Taking taylor expansion of J in K 6.413 * [backup-simplify]: Simplify J into J 6.413 * [backup-simplify]: Simplify (log J) into (log J) 6.413 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) in K 6.413 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K 6.413 * [taylor]: Taking taylor expansion of 1/4 in K 6.413 * [backup-simplify]: Simplify 1/4 into 1/4 6.413 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 6.413 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.413 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.413 * [taylor]: Taking taylor expansion of -1/2 in K 6.413 * [backup-simplify]: Simplify -1/2 into -1/2 6.413 * [taylor]: Taking taylor expansion of K in K 6.413 * [backup-simplify]: Simplify 0 into 0 6.413 * [backup-simplify]: Simplify 1 into 1 6.414 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.414 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.414 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.414 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 6.414 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 6.414 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 6.414 * [taylor]: Taking taylor expansion of 2 in K 6.414 * [backup-simplify]: Simplify 2 into 2 6.414 * [taylor]: Taking taylor expansion of (log U) in K 6.415 * [taylor]: Taking taylor expansion of U in K 6.415 * [backup-simplify]: Simplify U into U 6.415 * [backup-simplify]: Simplify (log U) into (log U) 6.415 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 6.415 * [backup-simplify]: Simplify (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 6.415 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 6.415 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 6.415 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 6.416 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 6.416 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 6.416 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 6.416 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.418 * [backup-simplify]: Simplify (+ 0) into 0 6.419 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.419 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.420 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.420 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.420 * [backup-simplify]: Simplify (- 0) into 0 6.421 * [backup-simplify]: Simplify (+ 0 0) into 0 6.421 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.422 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 6.422 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 6.423 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 6.423 * [backup-simplify]: Simplify (+ 0 0) into 0 6.424 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 6.425 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 6.425 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 6.426 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.426 * [taylor]: Taking taylor expansion of 0 in J 6.427 * [backup-simplify]: Simplify 0 into 0 6.427 * [taylor]: Taking taylor expansion of 0 in K 6.427 * [backup-simplify]: Simplify 0 into 0 6.427 * [backup-simplify]: Simplify 0 into 0 6.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.428 * [backup-simplify]: Simplify (+ 0) into 0 6.428 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.428 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.429 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.430 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.430 * [backup-simplify]: Simplify (- 0) into 0 6.430 * [backup-simplify]: Simplify (+ 0 0) into 0 6.431 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.431 * [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 6.431 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 6.432 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 6.433 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 6.434 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 6.434 * [backup-simplify]: Simplify (- 0) into 0 6.434 * [backup-simplify]: Simplify (+ 0 0) into 0 6.435 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 6.436 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.436 * [taylor]: Taking taylor expansion of 0 in K 6.436 * [backup-simplify]: Simplify 0 into 0 6.436 * [backup-simplify]: Simplify 0 into 0 6.437 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 6.438 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 6.438 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.438 * [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 6.439 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 6.439 * [backup-simplify]: Simplify (+ 0 0) into 0 6.440 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 6.441 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 6.441 * [backup-simplify]: Simplify (- 0) into 0 6.441 * [backup-simplify]: Simplify (+ 0 0) into 0 6.442 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 6.448 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.448 * [backup-simplify]: Simplify 0 into 0 6.449 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.451 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.452 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.452 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.453 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.454 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.454 * [backup-simplify]: Simplify (- 0) into 0 6.455 * [backup-simplify]: Simplify (+ 0 0) into 0 6.455 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 6.456 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 6.457 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 6.458 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 6.458 * [backup-simplify]: Simplify (+ 1 0) into 1 6.460 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 6.461 * [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))) 6.462 * [backup-simplify]: Simplify (+ (* 1/4 (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 6.463 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 1) 1)))) into (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) 6.464 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in J 6.464 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in J 6.464 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 6.464 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.464 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.464 * [taylor]: Taking taylor expansion of -1/2 in J 6.464 * [backup-simplify]: Simplify -1/2 into -1/2 6.464 * [taylor]: Taking taylor expansion of K in J 6.464 * [backup-simplify]: Simplify K into K 6.464 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.464 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.464 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.464 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.464 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.465 * [backup-simplify]: Simplify (- 0) into 0 6.465 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.465 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 6.465 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 6.465 * [taylor]: Taking taylor expansion of 1/4 in J 6.465 * [backup-simplify]: Simplify 1/4 into 1/4 6.465 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 6.465 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 6.465 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 6.465 * [taylor]: Taking taylor expansion of 1/4 in J 6.465 * [backup-simplify]: Simplify 1/4 into 1/4 6.465 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 6.465 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.465 * [taylor]: Taking taylor expansion of J in J 6.465 * [backup-simplify]: Simplify 0 into 0 6.465 * [backup-simplify]: Simplify 1 into 1 6.465 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 6.465 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.465 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.465 * [taylor]: Taking taylor expansion of -1/2 in J 6.465 * [backup-simplify]: Simplify -1/2 into -1/2 6.465 * [taylor]: Taking taylor expansion of K in J 6.465 * [backup-simplify]: Simplify K into K 6.465 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.466 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.466 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.466 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.466 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.466 * [backup-simplify]: Simplify (- 0) into 0 6.466 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.467 * [backup-simplify]: Simplify (* 1 1) into 1 6.467 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.467 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 6.467 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 6.467 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 6.467 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 6.467 * [taylor]: Taking taylor expansion of 2 in J 6.467 * [backup-simplify]: Simplify 2 into 2 6.467 * [taylor]: Taking taylor expansion of (log U) in J 6.467 * [taylor]: Taking taylor expansion of U in J 6.467 * [backup-simplify]: Simplify U into U 6.467 * [backup-simplify]: Simplify (log U) into (log U) 6.468 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 6.468 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 6.468 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 6.468 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 6.469 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 6.469 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 6.470 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.470 * [taylor]: Taking taylor expansion of J in J 6.470 * [backup-simplify]: Simplify 0 into 0 6.470 * [backup-simplify]: Simplify 1 into 1 6.470 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.470 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 6.471 * [backup-simplify]: Simplify (* 1 1) into 1 6.471 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 1) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 6.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.472 * [backup-simplify]: Simplify (+ 0) into 0 6.473 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.473 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.474 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.474 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.475 * [backup-simplify]: Simplify (- 0) into 0 6.475 * [backup-simplify]: Simplify (+ 0 0) into 0 6.475 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.476 * [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 6.476 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 6.477 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 6.478 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 6.479 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 6.479 * [backup-simplify]: Simplify (- 0) into 0 6.479 * [backup-simplify]: Simplify (+ 0 0) into 0 6.480 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 6.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.482 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.482 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.482 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.483 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.483 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.483 * [backup-simplify]: Simplify (- 0) into 0 6.484 * [backup-simplify]: Simplify (+ 0 0) into 0 6.484 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 6.484 * [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 6.485 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 6.486 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 6.487 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 6.487 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 6.487 * [backup-simplify]: Simplify (- 0) into 0 6.488 * [backup-simplify]: Simplify (+ 0 0) into 0 6.488 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 6.489 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.490 * [backup-simplify]: Simplify (+ 0) into 0 6.490 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.490 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.490 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.491 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.491 * [backup-simplify]: Simplify (- 0) into 0 6.491 * [backup-simplify]: Simplify (+ 0 0) into 0 6.491 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.492 * [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 6.492 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.493 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.493 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.493 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.494 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.494 * [backup-simplify]: Simplify (- 0) into 0 6.494 * [backup-simplify]: Simplify (+ 0 0) into 0 6.495 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 6.495 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))))) into 0 6.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.496 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))) into 0 6.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)))) into 0 6.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.498 * [taylor]: Taking taylor expansion of 0 in K 6.498 * [backup-simplify]: Simplify 0 into 0 6.498 * [backup-simplify]: Simplify 0 into 0 6.498 * [taylor]: Taking taylor expansion of 0 in K 6.498 * [backup-simplify]: Simplify 0 into 0 6.498 * [backup-simplify]: Simplify 0 into 0 6.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.499 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.500 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.500 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.500 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.501 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.501 * [backup-simplify]: Simplify (- 0) into 0 6.501 * [backup-simplify]: Simplify (+ 0 0) into 0 6.502 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 6.502 * [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 6.502 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 6.504 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 6.504 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 6.505 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 6.505 * [backup-simplify]: Simplify (- 0) into 0 6.505 * [backup-simplify]: Simplify (+ 0 0) into 0 6.506 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 6.507 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.507 * [taylor]: Taking taylor expansion of 0 in K 6.507 * [backup-simplify]: Simplify 0 into 0 6.507 * [backup-simplify]: Simplify 0 into 0 6.507 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log (/ 1 (- J)))) (log (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)))) (* 2 (log (/ 1 (- U))))))) into (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 6.507 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 6.508 * [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) 6.508 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in (U J K) around 0 6.508 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in K 6.508 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 6.508 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 6.508 * [taylor]: Taking taylor expansion of 1/4 in K 6.508 * [backup-simplify]: Simplify 1/4 into 1/4 6.508 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 6.508 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 6.508 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 6.508 * [taylor]: Taking taylor expansion of 1/4 in K 6.508 * [backup-simplify]: Simplify 1/4 into 1/4 6.508 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 6.508 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.508 * [taylor]: Taking taylor expansion of U in K 6.508 * [backup-simplify]: Simplify U into U 6.508 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 6.508 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 6.508 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 6.508 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 6.508 * [taylor]: Taking taylor expansion of 1/2 in K 6.508 * [backup-simplify]: Simplify 1/2 into 1/2 6.508 * [taylor]: Taking taylor expansion of K in K 6.508 * [backup-simplify]: Simplify 0 into 0 6.508 * [backup-simplify]: Simplify 1 into 1 6.508 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.509 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.509 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.509 * [taylor]: Taking taylor expansion of J in K 6.509 * [backup-simplify]: Simplify J into J 6.509 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.509 * [backup-simplify]: Simplify (* 1 1) into 1 6.509 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.509 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 6.509 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 6.509 * [taylor]: Taking taylor expansion of 1 in K 6.509 * [backup-simplify]: Simplify 1 into 1 6.510 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 6.510 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 6.510 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 6.510 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 6.510 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4) 6.510 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in J 6.510 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 6.510 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 6.510 * [taylor]: Taking taylor expansion of 1/4 in J 6.510 * [backup-simplify]: Simplify 1/4 into 1/4 6.510 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 6.510 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 6.510 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 6.510 * [taylor]: Taking taylor expansion of 1/4 in J 6.510 * [backup-simplify]: Simplify 1/4 into 1/4 6.510 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 6.510 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.510 * [taylor]: Taking taylor expansion of U in J 6.510 * [backup-simplify]: Simplify U into U 6.510 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 6.510 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 6.510 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.510 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.511 * [taylor]: Taking taylor expansion of 1/2 in J 6.511 * [backup-simplify]: Simplify 1/2 into 1/2 6.511 * [taylor]: Taking taylor expansion of K in J 6.511 * [backup-simplify]: Simplify K into K 6.511 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.511 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.511 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.511 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.511 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.511 * [backup-simplify]: Simplify (- 0) into 0 6.511 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.511 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.511 * [taylor]: Taking taylor expansion of J in J 6.511 * [backup-simplify]: Simplify 0 into 0 6.511 * [backup-simplify]: Simplify 1 into 1 6.511 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.511 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.512 * [backup-simplify]: Simplify (* 1 1) into 1 6.512 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 6.512 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 6.512 * [taylor]: Taking taylor expansion of 1 in J 6.512 * [backup-simplify]: Simplify 1 into 1 6.512 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 6.512 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 6.512 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 6.513 * [backup-simplify]: Simplify (+ (* (- 2) (log J)) (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))) 6.513 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) into (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) 6.513 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) 6.513 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in U 6.513 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 6.513 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 6.513 * [taylor]: Taking taylor expansion of 1/4 in U 6.513 * [backup-simplify]: Simplify 1/4 into 1/4 6.513 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 6.513 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 6.513 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 6.513 * [taylor]: Taking taylor expansion of 1/4 in U 6.513 * [backup-simplify]: Simplify 1/4 into 1/4 6.513 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 6.513 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.513 * [taylor]: Taking taylor expansion of U in U 6.513 * [backup-simplify]: Simplify 0 into 0 6.513 * [backup-simplify]: Simplify 1 into 1 6.513 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 6.513 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 6.513 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.513 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 6.513 * [taylor]: Taking taylor expansion of 1/2 in U 6.513 * [backup-simplify]: Simplify 1/2 into 1/2 6.513 * [taylor]: Taking taylor expansion of K in U 6.513 * [backup-simplify]: Simplify K into K 6.513 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.513 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.513 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.513 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.514 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.514 * [backup-simplify]: Simplify (- 0) into 0 6.514 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.514 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.514 * [taylor]: Taking taylor expansion of J in U 6.514 * [backup-simplify]: Simplify J into J 6.515 * [backup-simplify]: Simplify (* 1 1) into 1 6.515 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.515 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.515 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 6.515 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.515 * [taylor]: Taking taylor expansion of 1 in U 6.515 * [backup-simplify]: Simplify 1 into 1 6.516 * [backup-simplify]: Simplify (+ 0 1) into 1 6.516 * [backup-simplify]: Simplify (log 1) into 0 6.517 * [backup-simplify]: Simplify (* 1/4 0) into 0 6.517 * [backup-simplify]: Simplify (+ 0 0) into 0 6.519 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.519 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 6.520 * [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))) 6.520 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 6.522 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.523 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 6.523 * [backup-simplify]: Simplify (exp 0) into 1 6.523 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in U 6.523 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 6.523 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 6.523 * [taylor]: Taking taylor expansion of 1/4 in U 6.523 * [backup-simplify]: Simplify 1/4 into 1/4 6.523 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 6.523 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 6.523 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 6.523 * [taylor]: Taking taylor expansion of 1/4 in U 6.523 * [backup-simplify]: Simplify 1/4 into 1/4 6.523 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 6.524 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.524 * [taylor]: Taking taylor expansion of U in U 6.524 * [backup-simplify]: Simplify 0 into 0 6.524 * [backup-simplify]: Simplify 1 into 1 6.524 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 6.524 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 6.524 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 6.524 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 6.524 * [taylor]: Taking taylor expansion of 1/2 in U 6.524 * [backup-simplify]: Simplify 1/2 into 1/2 6.524 * [taylor]: Taking taylor expansion of K in U 6.524 * [backup-simplify]: Simplify K into K 6.524 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.524 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.524 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.524 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.524 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.525 * [backup-simplify]: Simplify (- 0) into 0 6.525 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.525 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.525 * [taylor]: Taking taylor expansion of J in U 6.525 * [backup-simplify]: Simplify J into J 6.525 * [backup-simplify]: Simplify (* 1 1) into 1 6.525 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.526 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.526 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 6.526 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.526 * [taylor]: Taking taylor expansion of 1 in U 6.526 * [backup-simplify]: Simplify 1 into 1 6.526 * [backup-simplify]: Simplify (+ 0 1) into 1 6.527 * [backup-simplify]: Simplify (log 1) into 0 6.527 * [backup-simplify]: Simplify (* 1/4 0) into 0 6.528 * [backup-simplify]: Simplify (+ 0 0) into 0 6.529 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.530 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 6.531 * [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))) 6.531 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 6.533 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.534 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 6.534 * [backup-simplify]: Simplify (exp 0) into 1 6.534 * [taylor]: Taking taylor expansion of 1 in J 6.534 * [backup-simplify]: Simplify 1 into 1 6.534 * [taylor]: Taking taylor expansion of 1 in K 6.534 * [backup-simplify]: Simplify 1 into 1 6.534 * [backup-simplify]: Simplify 1 into 1 6.536 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 6.536 * [taylor]: Taking taylor expansion of 0 in J 6.536 * [backup-simplify]: Simplify 0 into 0 6.536 * [taylor]: Taking taylor expansion of 0 in K 6.536 * [backup-simplify]: Simplify 0 into 0 6.536 * [backup-simplify]: Simplify 0 into 0 6.536 * [taylor]: Taking taylor expansion of 0 in K 6.536 * [backup-simplify]: Simplify 0 into 0 6.536 * [backup-simplify]: Simplify 0 into 0 6.536 * [backup-simplify]: Simplify 0 into 0 6.537 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1)))) into (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 6.537 * [taylor]: Taking taylor expansion of (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 6.537 * [taylor]: Taking taylor expansion of 1/16 in J 6.537 * [backup-simplify]: Simplify 1/16 into 1/16 6.537 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 6.537 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 6.537 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 6.537 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 6.537 * [taylor]: Taking taylor expansion of 1/2 in J 6.537 * [backup-simplify]: Simplify 1/2 into 1/2 6.537 * [taylor]: Taking taylor expansion of K in J 6.537 * [backup-simplify]: Simplify K into K 6.537 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 6.537 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 6.537 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 6.538 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 6.538 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 6.538 * [backup-simplify]: Simplify (- 0) into 0 6.538 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 6.538 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.538 * [taylor]: Taking taylor expansion of J in J 6.538 * [backup-simplify]: Simplify 0 into 0 6.538 * [backup-simplify]: Simplify 1 into 1 6.538 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 6.539 * [backup-simplify]: Simplify (* 1 1) into 1 6.539 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 6.539 * [backup-simplify]: Simplify (/ 1/16 (pow (cos (* 1/2 K)) 2)) into (/ 1/16 (pow (cos (* 1/2 K)) 2)) 6.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.540 * [backup-simplify]: Simplify (+ 0) into 0 6.541 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 6.541 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 6.542 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.543 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 6.543 * [backup-simplify]: Simplify (- 0) into 0 6.543 * [backup-simplify]: Simplify (+ 0 0) into 0 6.543 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 6.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.545 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.546 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.547 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 6.547 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.548 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.548 * [backup-simplify]: Simplify (- 0) into 0 6.549 * [backup-simplify]: Simplify (+ 0 0) into 0 6.549 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 6.550 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 6.550 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 6.551 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/16 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 6.551 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/16 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 6.551 * [taylor]: Taking taylor expansion of 0 in K 6.551 * [backup-simplify]: Simplify 0 into 0 6.551 * [backup-simplify]: Simplify 0 into 0 6.551 * [taylor]: Taking taylor expansion of 0 in K 6.552 * [backup-simplify]: Simplify 0 into 0 6.552 * [backup-simplify]: Simplify 0 into 0 6.552 * [taylor]: Taking taylor expansion of 0 in K 6.552 * [backup-simplify]: Simplify 0 into 0 6.552 * [backup-simplify]: Simplify 0 into 0 6.552 * [backup-simplify]: Simplify 1 into 1 6.552 * [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) 6.552 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in (U J K) around 0 6.552 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in K 6.553 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in K 6.553 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in K 6.553 * [taylor]: Taking taylor expansion of 1/4 in K 6.553 * [backup-simplify]: Simplify 1/4 into 1/4 6.553 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 6.553 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 6.553 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 6.553 * [taylor]: Taking taylor expansion of 1/4 in K 6.553 * [backup-simplify]: Simplify 1/4 into 1/4 6.553 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 6.553 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.553 * [taylor]: Taking taylor expansion of J in K 6.553 * [backup-simplify]: Simplify J into J 6.553 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 6.553 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.553 * [taylor]: Taking taylor expansion of U in K 6.553 * [backup-simplify]: Simplify U into U 6.553 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 6.553 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.553 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.553 * [taylor]: Taking taylor expansion of 1/2 in K 6.553 * [backup-simplify]: Simplify 1/2 into 1/2 6.553 * [taylor]: Taking taylor expansion of K in K 6.553 * [backup-simplify]: Simplify 0 into 0 6.553 * [backup-simplify]: Simplify 1 into 1 6.554 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.554 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.554 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.554 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.554 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.554 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.554 * [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))) 6.554 * [taylor]: Taking taylor expansion of 1 in K 6.554 * [backup-simplify]: Simplify 1 into 1 6.555 * [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)))) 6.555 * [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) 6.555 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 6.556 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) 6.556 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) 6.556 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in J 6.556 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in J 6.557 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in J 6.557 * [taylor]: Taking taylor expansion of 1/4 in J 6.557 * [backup-simplify]: Simplify 1/4 into 1/4 6.557 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 6.557 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 6.557 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 6.557 * [taylor]: Taking taylor expansion of 1/4 in J 6.557 * [backup-simplify]: Simplify 1/4 into 1/4 6.557 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 6.557 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.557 * [taylor]: Taking taylor expansion of J in J 6.557 * [backup-simplify]: Simplify 0 into 0 6.557 * [backup-simplify]: Simplify 1 into 1 6.557 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 6.557 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.557 * [taylor]: Taking taylor expansion of U in J 6.557 * [backup-simplify]: Simplify U into U 6.557 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.557 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.557 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.557 * [taylor]: Taking taylor expansion of 1/2 in J 6.557 * [backup-simplify]: Simplify 1/2 into 1/2 6.557 * [taylor]: Taking taylor expansion of K in J 6.557 * [backup-simplify]: Simplify K into K 6.557 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.557 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.557 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.558 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.558 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.558 * [backup-simplify]: Simplify (- 0) into 0 6.558 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.559 * [backup-simplify]: Simplify (* 1 1) into 1 6.559 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.559 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.559 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 6.559 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 6.559 * [taylor]: Taking taylor expansion of 1 in J 6.559 * [backup-simplify]: Simplify 1 into 1 6.560 * [backup-simplify]: Simplify (+ 0 1) into 1 6.560 * [backup-simplify]: Simplify (log 1) into 0 6.561 * [backup-simplify]: Simplify (* 1/4 0) into 0 6.561 * [backup-simplify]: Simplify (+ 0 0) into 0 6.562 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.563 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 6.563 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 6.563 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 6.566 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 6.566 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 6.566 * [backup-simplify]: Simplify (exp 0) into 1 6.566 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in U 6.566 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 6.566 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 6.566 * [taylor]: Taking taylor expansion of 1/4 in U 6.566 * [backup-simplify]: Simplify 1/4 into 1/4 6.567 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 6.567 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 6.567 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 6.567 * [taylor]: Taking taylor expansion of 1/4 in U 6.567 * [backup-simplify]: Simplify 1/4 into 1/4 6.567 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 6.567 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.567 * [taylor]: Taking taylor expansion of J in U 6.567 * [backup-simplify]: Simplify J into J 6.567 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 6.567 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.567 * [taylor]: Taking taylor expansion of U in U 6.567 * [backup-simplify]: Simplify 0 into 0 6.567 * [backup-simplify]: Simplify 1 into 1 6.567 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 6.567 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.567 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.567 * [taylor]: Taking taylor expansion of 1/2 in U 6.567 * [backup-simplify]: Simplify 1/2 into 1/2 6.567 * [taylor]: Taking taylor expansion of K in U 6.567 * [backup-simplify]: Simplify K into K 6.567 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.567 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.567 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.567 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.567 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.568 * [backup-simplify]: Simplify (- 0) into 0 6.568 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.568 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.568 * [backup-simplify]: Simplify (* 1 1) into 1 6.569 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.569 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 6.569 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 6.569 * [taylor]: Taking taylor expansion of 1 in U 6.569 * [backup-simplify]: Simplify 1 into 1 6.569 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 6.569 * [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))) 6.570 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 6.570 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 6.571 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 6.571 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 6.571 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in U 6.571 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 6.571 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 6.571 * [taylor]: Taking taylor expansion of 1/4 in U 6.571 * [backup-simplify]: Simplify 1/4 into 1/4 6.571 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 6.571 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 6.571 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 6.571 * [taylor]: Taking taylor expansion of 1/4 in U 6.571 * [backup-simplify]: Simplify 1/4 into 1/4 6.571 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 6.571 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.571 * [taylor]: Taking taylor expansion of J in U 6.571 * [backup-simplify]: Simplify J into J 6.571 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 6.571 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.571 * [taylor]: Taking taylor expansion of U in U 6.571 * [backup-simplify]: Simplify 0 into 0 6.571 * [backup-simplify]: Simplify 1 into 1 6.571 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 6.571 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 6.571 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 6.572 * [taylor]: Taking taylor expansion of 1/2 in U 6.572 * [backup-simplify]: Simplify 1/2 into 1/2 6.572 * [taylor]: Taking taylor expansion of K in U 6.572 * [backup-simplify]: Simplify K into K 6.572 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.572 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.572 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.572 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.572 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.572 * [backup-simplify]: Simplify (- 0) into 0 6.572 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.572 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.573 * [backup-simplify]: Simplify (* 1 1) into 1 6.573 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.573 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 6.573 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 6.573 * [taylor]: Taking taylor expansion of 1 in U 6.573 * [backup-simplify]: Simplify 1 into 1 6.574 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 6.574 * [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))) 6.574 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 6.575 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 6.575 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 6.575 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 6.576 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 6.576 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 6.576 * [taylor]: Taking taylor expansion of 1/4 in J 6.576 * [backup-simplify]: Simplify 1/4 into 1/4 6.576 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 6.576 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 6.576 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 6.576 * [taylor]: Taking taylor expansion of 1/4 in J 6.576 * [backup-simplify]: Simplify 1/4 into 1/4 6.576 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 6.576 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.576 * [taylor]: Taking taylor expansion of J in J 6.576 * [backup-simplify]: Simplify 0 into 0 6.576 * [backup-simplify]: Simplify 1 into 1 6.576 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.576 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.576 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.576 * [taylor]: Taking taylor expansion of 1/2 in J 6.576 * [backup-simplify]: Simplify 1/2 into 1/2 6.576 * [taylor]: Taking taylor expansion of K in J 6.576 * [backup-simplify]: Simplify K into K 6.576 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.576 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.576 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.576 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.577 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.577 * [backup-simplify]: Simplify (- 0) into 0 6.577 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.577 * [backup-simplify]: Simplify (* 1 1) into 1 6.578 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.578 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 6.578 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 6.578 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 6.578 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 6.578 * [taylor]: Taking taylor expansion of 2 in J 6.578 * [backup-simplify]: Simplify 2 into 2 6.578 * [taylor]: Taking taylor expansion of (log U) in J 6.578 * [taylor]: Taking taylor expansion of U in J 6.578 * [backup-simplify]: Simplify U into U 6.578 * [backup-simplify]: Simplify (log U) into (log U) 6.579 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 6.579 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 6.579 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 6.579 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 6.580 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 6.580 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 6.580 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 6.580 * [taylor]: Taking taylor expansion of (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 6.580 * [taylor]: Taking taylor expansion of 1/4 in K 6.580 * [backup-simplify]: Simplify 1/4 into 1/4 6.580 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 6.580 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) in K 6.580 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 6.580 * [taylor]: Taking taylor expansion of 2 in K 6.580 * [backup-simplify]: Simplify 2 into 2 6.580 * [taylor]: Taking taylor expansion of (log J) in K 6.580 * [taylor]: Taking taylor expansion of J in K 6.580 * [backup-simplify]: Simplify J into J 6.580 * [backup-simplify]: Simplify (log J) into (log J) 6.580 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) in K 6.580 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K 6.580 * [taylor]: Taking taylor expansion of 1/4 in K 6.580 * [backup-simplify]: Simplify 1/4 into 1/4 6.580 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 6.580 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 6.580 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 6.581 * [taylor]: Taking taylor expansion of 1/2 in K 6.581 * [backup-simplify]: Simplify 1/2 into 1/2 6.581 * [taylor]: Taking taylor expansion of K in K 6.581 * [backup-simplify]: Simplify 0 into 0 6.581 * [backup-simplify]: Simplify 1 into 1 6.581 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.581 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.581 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.581 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 6.582 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 6.582 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 6.582 * [taylor]: Taking taylor expansion of 2 in K 6.582 * [backup-simplify]: Simplify 2 into 2 6.582 * [taylor]: Taking taylor expansion of (log U) in K 6.582 * [taylor]: Taking taylor expansion of U in K 6.582 * [backup-simplify]: Simplify U into U 6.582 * [backup-simplify]: Simplify (log U) into (log U) 6.582 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 6.582 * [backup-simplify]: Simplify (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 6.582 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 6.582 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 6.583 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 6.583 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 6.583 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 6.583 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 6.584 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.590 * [backup-simplify]: Simplify (+ 0) into 0 6.591 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.591 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.592 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.593 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.593 * [backup-simplify]: Simplify (- 0) into 0 6.594 * [backup-simplify]: Simplify (+ 0 0) into 0 6.594 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.595 * [backup-simplify]: 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 6.596 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 6.597 * [backup-simplify]: Simplify (+ 0 0) into 0 6.597 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 6.598 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 6.599 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 6.600 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.600 * [taylor]: Taking taylor expansion of 0 in J 6.600 * [backup-simplify]: Simplify 0 into 0 6.600 * [taylor]: Taking taylor expansion of 0 in K 6.600 * [backup-simplify]: Simplify 0 into 0 6.600 * [backup-simplify]: Simplify 0 into 0 6.601 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.601 * [backup-simplify]: Simplify (+ 0) into 0 6.602 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.602 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.603 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.603 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.604 * [backup-simplify]: Simplify (- 0) into 0 6.604 * [backup-simplify]: Simplify (+ 0 0) into 0 6.604 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.605 * [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 6.605 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 6.606 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 6.607 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 6.607 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 6.608 * [backup-simplify]: Simplify (- 0) into 0 6.608 * [backup-simplify]: Simplify (+ 0 0) into 0 6.609 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 6.610 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.610 * [taylor]: Taking taylor expansion of 0 in K 6.610 * [backup-simplify]: Simplify 0 into 0 6.610 * [backup-simplify]: Simplify 0 into 0 6.611 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 6.611 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 6.611 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.612 * [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 6.613 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 6.613 * [backup-simplify]: Simplify (+ 0 0) into 0 6.614 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 6.614 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 6.615 * [backup-simplify]: Simplify (- 0) into 0 6.615 * [backup-simplify]: Simplify (+ 0 0) into 0 6.616 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 6.617 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.617 * [backup-simplify]: Simplify 0 into 0 6.617 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.618 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.619 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.619 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.620 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.621 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.621 * [backup-simplify]: Simplify (- 0) into 0 6.621 * [backup-simplify]: Simplify (+ 0 0) into 0 6.622 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 6.624 * [backup-simplify]: 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 6.625 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 6.626 * [backup-simplify]: Simplify (+ 0 1) into 1 6.628 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 6.629 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 6.630 * [backup-simplify]: Simplify (+ (* 1/4 (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 6.631 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 1) 1)))) into (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) 6.631 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in J 6.631 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in J 6.631 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 6.631 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 6.631 * [taylor]: Taking taylor expansion of 1/4 in J 6.631 * [backup-simplify]: Simplify 1/4 into 1/4 6.631 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 6.631 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 6.631 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 6.632 * [taylor]: Taking taylor expansion of 1/4 in J 6.632 * [backup-simplify]: Simplify 1/4 into 1/4 6.632 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 6.632 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.632 * [taylor]: Taking taylor expansion of J in J 6.632 * [backup-simplify]: Simplify 0 into 0 6.632 * [backup-simplify]: Simplify 1 into 1 6.632 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.632 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.632 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.632 * [taylor]: Taking taylor expansion of 1/2 in J 6.632 * [backup-simplify]: Simplify 1/2 into 1/2 6.632 * [taylor]: Taking taylor expansion of K in J 6.632 * [backup-simplify]: Simplify K into K 6.632 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.632 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.632 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.632 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.632 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.633 * [backup-simplify]: Simplify (- 0) into 0 6.633 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.633 * [backup-simplify]: Simplify (* 1 1) into 1 6.633 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.634 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 6.634 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 6.634 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 6.634 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 6.634 * [taylor]: Taking taylor expansion of 2 in J 6.634 * [backup-simplify]: Simplify 2 into 2 6.634 * [taylor]: Taking taylor expansion of (log U) in J 6.634 * [taylor]: Taking taylor expansion of U in J 6.634 * [backup-simplify]: Simplify U into U 6.634 * [backup-simplify]: Simplify (log U) into (log U) 6.635 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 6.635 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 6.635 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 6.635 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 6.636 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 6.636 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 6.636 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 6.636 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 6.636 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 6.636 * [taylor]: Taking taylor expansion of 1/2 in J 6.636 * [backup-simplify]: Simplify 1/2 into 1/2 6.636 * [taylor]: Taking taylor expansion of K in J 6.636 * [backup-simplify]: Simplify K into K 6.636 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 6.636 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 6.636 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 6.636 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 6.637 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 6.637 * [backup-simplify]: Simplify (- 0) into 0 6.637 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 6.637 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.637 * [taylor]: Taking taylor expansion of J in J 6.637 * [backup-simplify]: Simplify 0 into 0 6.637 * [backup-simplify]: Simplify 1 into 1 6.637 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 6.638 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 6.638 * [backup-simplify]: Simplify (* 1 1) into 1 6.639 * [backup-simplify]: Simplify (/ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 1) into (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 6.639 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.640 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.640 * [backup-simplify]: Simplify (+ 0) into 0 6.641 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.641 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.642 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.643 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.644 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.644 * [backup-simplify]: Simplify (- 0) into 0 6.644 * [backup-simplify]: Simplify (+ 0 0) into 0 6.645 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.646 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.646 * [backup-simplify]: Simplify (- 0) into 0 6.646 * [backup-simplify]: Simplify (+ 0 0) into 0 6.647 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.648 * [backup-simplify]: Simplify (+ 0) into 0 6.649 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 6.649 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 6.650 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.651 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 6.651 * [backup-simplify]: Simplify (- 0) into 0 6.651 * [backup-simplify]: Simplify (+ 0 0) into 0 6.652 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.652 * [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 6.653 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 6.653 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 6.654 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 6.655 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 6.655 * [backup-simplify]: Simplify (- 0) into 0 6.655 * [backup-simplify]: Simplify (+ 0 0) into 0 6.656 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 6.657 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.657 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 6.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.659 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.660 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.660 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.661 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.662 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.662 * [backup-simplify]: Simplify (- 0) into 0 6.663 * [backup-simplify]: Simplify (+ 0 0) into 0 6.663 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.664 * [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 6.665 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 6.667 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 6.668 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 6.669 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 6.670 * [backup-simplify]: Simplify (- 0) into 0 6.670 * [backup-simplify]: Simplify (+ 0 0) into 0 6.671 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 6.673 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.674 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 6.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.675 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 6.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)))) into 0 6.679 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.679 * [taylor]: Taking taylor expansion of 0 in K 6.679 * [backup-simplify]: Simplify 0 into 0 6.679 * [backup-simplify]: Simplify 0 into 0 6.679 * [taylor]: Taking taylor expansion of 0 in K 6.679 * [backup-simplify]: Simplify 0 into 0 6.679 * [backup-simplify]: Simplify 0 into 0 6.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.681 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.681 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.682 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.682 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.682 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.683 * [backup-simplify]: Simplify (- 0) into 0 6.683 * [backup-simplify]: Simplify (+ 0 0) into 0 6.683 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 6.683 * [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 6.684 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 6.685 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 6.686 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 6.687 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 6.687 * [backup-simplify]: Simplify (- 0) into 0 6.687 * [backup-simplify]: Simplify (+ 0 0) into 0 6.688 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 6.689 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.689 * [taylor]: Taking taylor expansion of 0 in K 6.689 * [backup-simplify]: Simplify 0 into 0 6.689 * [backup-simplify]: Simplify 0 into 0 6.689 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log (/ 1 J))) (log (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)))) (* 2 (log (/ 1 U)))))) into (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) 6.689 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ (/ 1 (- U)) (* (+ (/ 1 (- J)) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (* (+ (/ 1 (- J)) (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) 1))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) 6.690 * [approximate]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in (U J K) around 0 6.690 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in K 6.690 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 6.690 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 6.690 * [taylor]: Taking taylor expansion of 1/4 in K 6.690 * [backup-simplify]: Simplify 1/4 into 1/4 6.690 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 6.690 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 6.690 * [taylor]: Taking taylor expansion of 1 in K 6.690 * [backup-simplify]: Simplify 1 into 1 6.690 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 6.690 * [taylor]: Taking taylor expansion of 1/4 in K 6.690 * [backup-simplify]: Simplify 1/4 into 1/4 6.690 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 6.690 * [taylor]: Taking taylor expansion of (pow J 2) in K 6.690 * [taylor]: Taking taylor expansion of J in K 6.690 * [backup-simplify]: Simplify J into J 6.690 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 6.690 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 6.690 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.690 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.690 * [taylor]: Taking taylor expansion of -1/2 in K 6.690 * [backup-simplify]: Simplify -1/2 into -1/2 6.690 * [taylor]: Taking taylor expansion of K in K 6.690 * [backup-simplify]: Simplify 0 into 0 6.690 * [backup-simplify]: Simplify 1 into 1 6.690 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.690 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.690 * [taylor]: Taking taylor expansion of (pow U 2) in K 6.690 * [taylor]: Taking taylor expansion of U in K 6.690 * [backup-simplify]: Simplify U into U 6.690 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.690 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.690 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.691 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.691 * [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))) 6.691 * [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)))) 6.691 * [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))))) 6.691 * [backup-simplify]: Simplify (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 6.692 * [backup-simplify]: Simplify (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 6.692 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) 6.692 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in J 6.692 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 6.692 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 6.692 * [taylor]: Taking taylor expansion of 1/4 in J 6.692 * [backup-simplify]: Simplify 1/4 into 1/4 6.692 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 6.692 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 6.692 * [taylor]: Taking taylor expansion of 1 in J 6.692 * [backup-simplify]: Simplify 1 into 1 6.692 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 6.692 * [taylor]: Taking taylor expansion of 1/4 in J 6.692 * [backup-simplify]: Simplify 1/4 into 1/4 6.692 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 6.692 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.692 * [taylor]: Taking taylor expansion of J in J 6.692 * [backup-simplify]: Simplify 0 into 0 6.692 * [backup-simplify]: Simplify 1 into 1 6.692 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 6.692 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 6.692 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.692 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.692 * [taylor]: Taking taylor expansion of -1/2 in J 6.692 * [backup-simplify]: Simplify -1/2 into -1/2 6.692 * [taylor]: Taking taylor expansion of K in J 6.692 * [backup-simplify]: Simplify K into K 6.692 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.692 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.692 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.692 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.692 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.693 * [backup-simplify]: Simplify (- 0) into 0 6.693 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.693 * [taylor]: Taking taylor expansion of (pow U 2) in J 6.693 * [taylor]: Taking taylor expansion of U in J 6.693 * [backup-simplify]: Simplify U into U 6.693 * [backup-simplify]: Simplify (* 1 1) into 1 6.693 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.693 * [backup-simplify]: Simplify (* U U) into (pow U 2) 6.693 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 6.693 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.694 * [backup-simplify]: Simplify (+ 1 0) into 1 6.694 * [backup-simplify]: Simplify (log 1) into 0 6.694 * [backup-simplify]: Simplify (* 1/4 0) into 0 6.694 * [backup-simplify]: Simplify (+ 0 0) into 0 6.695 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.696 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 6.696 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.696 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 6.697 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 6.698 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 6.698 * [backup-simplify]: Simplify (exp 0) into 1 6.698 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in U 6.698 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 6.698 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 6.698 * [taylor]: Taking taylor expansion of 1/4 in U 6.698 * [backup-simplify]: Simplify 1/4 into 1/4 6.698 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 6.698 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 6.698 * [taylor]: Taking taylor expansion of 1 in U 6.698 * [backup-simplify]: Simplify 1 into 1 6.698 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 6.698 * [taylor]: Taking taylor expansion of 1/4 in U 6.698 * [backup-simplify]: Simplify 1/4 into 1/4 6.698 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 6.698 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.698 * [taylor]: Taking taylor expansion of J in U 6.698 * [backup-simplify]: Simplify J into J 6.698 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 6.698 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 6.698 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.698 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.698 * [taylor]: Taking taylor expansion of -1/2 in U 6.698 * [backup-simplify]: Simplify -1/2 into -1/2 6.698 * [taylor]: Taking taylor expansion of K in U 6.698 * [backup-simplify]: Simplify K into K 6.698 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.698 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.698 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.698 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.698 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.699 * [backup-simplify]: Simplify (- 0) into 0 6.699 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.699 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.699 * [taylor]: Taking taylor expansion of U in U 6.699 * [backup-simplify]: Simplify 0 into 0 6.699 * [backup-simplify]: Simplify 1 into 1 6.699 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.699 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.699 * [backup-simplify]: Simplify (* 1 1) into 1 6.699 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 6.699 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 6.699 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 6.700 * [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))) 6.700 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 6.700 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 6.700 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 6.700 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 6.700 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) in U 6.700 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 6.700 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 6.700 * [taylor]: Taking taylor expansion of 1/4 in U 6.701 * [backup-simplify]: Simplify 1/4 into 1/4 6.701 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 6.701 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 6.701 * [taylor]: Taking taylor expansion of 1 in U 6.701 * [backup-simplify]: Simplify 1 into 1 6.701 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 6.701 * [taylor]: Taking taylor expansion of 1/4 in U 6.701 * [backup-simplify]: Simplify 1/4 into 1/4 6.701 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 6.701 * [taylor]: Taking taylor expansion of (pow J 2) in U 6.701 * [taylor]: Taking taylor expansion of J in U 6.701 * [backup-simplify]: Simplify J into J 6.701 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 6.701 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 6.701 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 6.701 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 6.701 * [taylor]: Taking taylor expansion of -1/2 in U 6.701 * [backup-simplify]: Simplify -1/2 into -1/2 6.701 * [taylor]: Taking taylor expansion of K in U 6.701 * [backup-simplify]: Simplify K into K 6.701 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.701 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.701 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.701 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.701 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.701 * [backup-simplify]: Simplify (- 0) into 0 6.701 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.701 * [taylor]: Taking taylor expansion of (pow U 2) in U 6.701 * [taylor]: Taking taylor expansion of U in U 6.701 * [backup-simplify]: Simplify 0 into 0 6.701 * [backup-simplify]: Simplify 1 into 1 6.701 * [backup-simplify]: Simplify (* J J) into (pow J 2) 6.702 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.702 * [backup-simplify]: Simplify (* 1 1) into 1 6.702 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 6.702 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 6.702 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 6.702 * [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))) 6.702 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 6.703 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 6.703 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 6.703 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 6.703 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 6.703 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 6.703 * [taylor]: Taking taylor expansion of 1/4 in J 6.703 * [backup-simplify]: Simplify 1/4 into 1/4 6.703 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 6.703 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 6.703 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 6.703 * [taylor]: Taking taylor expansion of 1/4 in J 6.703 * [backup-simplify]: Simplify 1/4 into 1/4 6.703 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 6.703 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.703 * [taylor]: Taking taylor expansion of J in J 6.703 * [backup-simplify]: Simplify 0 into 0 6.703 * [backup-simplify]: Simplify 1 into 1 6.703 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 6.703 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.703 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.703 * [taylor]: Taking taylor expansion of -1/2 in J 6.703 * [backup-simplify]: Simplify -1/2 into -1/2 6.704 * [taylor]: Taking taylor expansion of K in J 6.704 * [backup-simplify]: Simplify K into K 6.704 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.704 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.704 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.704 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.704 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.704 * [backup-simplify]: Simplify (- 0) into 0 6.704 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.704 * [backup-simplify]: Simplify (* 1 1) into 1 6.704 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.705 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 6.705 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 6.705 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 6.705 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 6.705 * [taylor]: Taking taylor expansion of 2 in J 6.705 * [backup-simplify]: Simplify 2 into 2 6.705 * [taylor]: Taking taylor expansion of (log U) in J 6.705 * [taylor]: Taking taylor expansion of U in J 6.705 * [backup-simplify]: Simplify U into U 6.705 * [backup-simplify]: Simplify (log U) into (log U) 6.705 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 6.705 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 6.705 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 6.705 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 6.706 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 6.706 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 6.706 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 6.706 * [taylor]: Taking taylor expansion of (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 6.706 * [taylor]: Taking taylor expansion of 1/4 in K 6.706 * [backup-simplify]: Simplify 1/4 into 1/4 6.706 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 6.706 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) in K 6.706 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 6.706 * [taylor]: Taking taylor expansion of 2 in K 6.706 * [backup-simplify]: Simplify 2 into 2 6.706 * [taylor]: Taking taylor expansion of (log J) in K 6.706 * [taylor]: Taking taylor expansion of J in K 6.706 * [backup-simplify]: Simplify J into J 6.706 * [backup-simplify]: Simplify (log J) into (log J) 6.706 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) in K 6.706 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K 6.706 * [taylor]: Taking taylor expansion of 1/4 in K 6.706 * [backup-simplify]: Simplify 1/4 into 1/4 6.706 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 6.706 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 6.706 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 6.706 * [taylor]: Taking taylor expansion of -1/2 in K 6.706 * [backup-simplify]: Simplify -1/2 into -1/2 6.706 * [taylor]: Taking taylor expansion of K in K 6.706 * [backup-simplify]: Simplify 0 into 0 6.706 * [backup-simplify]: Simplify 1 into 1 6.707 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.707 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.707 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.707 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 6.707 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 6.707 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 6.707 * [taylor]: Taking taylor expansion of 2 in K 6.707 * [backup-simplify]: Simplify 2 into 2 6.707 * [taylor]: Taking taylor expansion of (log U) in K 6.707 * [taylor]: Taking taylor expansion of U in K 6.707 * [backup-simplify]: Simplify U into U 6.707 * [backup-simplify]: Simplify (log U) into (log U) 6.707 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 6.707 * [backup-simplify]: Simplify (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 6.707 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 6.707 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 6.707 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 6.708 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 6.708 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 6.708 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 6.708 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 6.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.709 * [backup-simplify]: Simplify (+ 0) into 0 6.709 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.709 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.710 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.710 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.710 * [backup-simplify]: Simplify (- 0) into 0 6.711 * [backup-simplify]: Simplify (+ 0 0) into 0 6.711 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.711 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 6.711 * [backup-simplify]: 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 6.712 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 6.712 * [backup-simplify]: Simplify (+ 0 0) into 0 6.712 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 6.713 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 6.713 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 6.714 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.714 * [taylor]: Taking taylor expansion of 0 in J 6.714 * [backup-simplify]: Simplify 0 into 0 6.714 * [taylor]: Taking taylor expansion of 0 in K 6.715 * [backup-simplify]: Simplify 0 into 0 6.715 * [backup-simplify]: Simplify 0 into 0 6.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.716 * [backup-simplify]: Simplify (+ 0) into 0 6.716 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.716 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.717 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.717 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.718 * [backup-simplify]: Simplify (- 0) into 0 6.718 * [backup-simplify]: Simplify (+ 0 0) into 0 6.718 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.719 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 6.719 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 6.720 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 6.721 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 6.721 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 6.722 * [backup-simplify]: Simplify (- 0) into 0 6.727 * [backup-simplify]: Simplify (+ 0 0) into 0 6.728 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 6.729 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.729 * [taylor]: Taking taylor expansion of 0 in K 6.729 * [backup-simplify]: Simplify 0 into 0 6.729 * [backup-simplify]: Simplify 0 into 0 6.730 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 6.730 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 6.730 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.730 * [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 6.731 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 6.731 * [backup-simplify]: Simplify (+ 0 0) into 0 6.732 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 6.732 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 6.732 * [backup-simplify]: Simplify (- 0) into 0 6.732 * [backup-simplify]: Simplify (+ 0 0) into 0 6.733 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 6.733 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.734 * [backup-simplify]: Simplify 0 into 0 6.734 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 6.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.735 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.735 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.735 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.736 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.736 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.737 * [backup-simplify]: Simplify (- 0) into 0 6.737 * [backup-simplify]: Simplify (+ 0 0) into 0 6.737 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 6.738 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 6.738 * [backup-simplify]: 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 6.739 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 6.739 * [backup-simplify]: Simplify (+ 1 0) into 1 6.740 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 6.741 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 6.741 * [backup-simplify]: Simplify (+ (* 1/4 (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 6.742 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 1) 1)))) into (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) 6.742 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in J 6.742 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in J 6.742 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 6.742 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.742 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.742 * [taylor]: Taking taylor expansion of -1/2 in J 6.742 * [backup-simplify]: Simplify -1/2 into -1/2 6.742 * [taylor]: Taking taylor expansion of K in J 6.742 * [backup-simplify]: Simplify K into K 6.742 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.742 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.742 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.742 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.743 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.743 * [backup-simplify]: Simplify (- 0) into 0 6.743 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.743 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 6.743 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 6.743 * [taylor]: Taking taylor expansion of 1/4 in J 6.743 * [backup-simplify]: Simplify 1/4 into 1/4 6.743 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 6.743 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 6.743 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 6.743 * [taylor]: Taking taylor expansion of 1/4 in J 6.743 * [backup-simplify]: Simplify 1/4 into 1/4 6.743 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 6.743 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.743 * [taylor]: Taking taylor expansion of J in J 6.743 * [backup-simplify]: Simplify 0 into 0 6.743 * [backup-simplify]: Simplify 1 into 1 6.743 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 6.743 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 6.743 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 6.743 * [taylor]: Taking taylor expansion of -1/2 in J 6.743 * [backup-simplify]: Simplify -1/2 into -1/2 6.743 * [taylor]: Taking taylor expansion of K in J 6.743 * [backup-simplify]: Simplify K into K 6.743 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 6.743 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 6.743 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 6.743 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 6.743 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 6.744 * [backup-simplify]: Simplify (- 0) into 0 6.744 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 6.744 * [backup-simplify]: Simplify (* 1 1) into 1 6.744 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.744 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 6.744 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 6.744 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 6.744 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 6.744 * [taylor]: Taking taylor expansion of 2 in J 6.744 * [backup-simplify]: Simplify 2 into 2 6.744 * [taylor]: Taking taylor expansion of (log U) in J 6.744 * [taylor]: Taking taylor expansion of U in J 6.744 * [backup-simplify]: Simplify U into U 6.744 * [backup-simplify]: Simplify (log U) into (log U) 6.745 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) 6.745 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 6.745 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 6.745 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 6.745 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 6.745 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 6.745 * [taylor]: Taking taylor expansion of (pow J 2) in J 6.745 * [taylor]: Taking taylor expansion of J in J 6.745 * [backup-simplify]: Simplify 0 into 0 6.745 * [backup-simplify]: Simplify 1 into 1 6.746 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 6.746 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 6.746 * [backup-simplify]: Simplify (* 1 1) into 1 6.746 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 1) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 6.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.747 * [backup-simplify]: Simplify (+ 0) into 0 6.747 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.747 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.748 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.748 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.748 * [backup-simplify]: Simplify (- 0) into 0 6.749 * [backup-simplify]: Simplify (+ 0 0) into 0 6.749 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.749 * [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 6.749 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 6.750 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 6.750 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 6.751 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 6.751 * [backup-simplify]: Simplify (- 0) into 0 6.751 * [backup-simplify]: Simplify (+ 0 0) into 0 6.752 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 6.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.753 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.753 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.753 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.754 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.754 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.754 * [backup-simplify]: Simplify (- 0) into 0 6.755 * [backup-simplify]: Simplify (+ 0 0) into 0 6.755 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 6.755 * [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 6.756 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 6.757 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 6.758 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 6.759 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 6.759 * [backup-simplify]: Simplify (- 0) into 0 6.760 * [backup-simplify]: Simplify (+ 0 0) into 0 6.761 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 6.763 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.763 * [backup-simplify]: Simplify (+ 0) into 0 6.764 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 6.764 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 6.765 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.765 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 6.766 * [backup-simplify]: Simplify (- 0) into 0 6.766 * [backup-simplify]: Simplify (+ 0 0) into 0 6.766 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 6.767 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.768 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.769 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.769 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.770 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.771 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.771 * [backup-simplify]: Simplify (- 0) into 0 6.771 * [backup-simplify]: Simplify (+ 0 0) into 0 6.772 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 6.773 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))))) into 0 6.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.774 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))) into 0 6.774 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)))) into 0 6.776 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.776 * [taylor]: Taking taylor expansion of 0 in K 6.776 * [backup-simplify]: Simplify 0 into 0 6.776 * [backup-simplify]: Simplify 0 into 0 6.776 * [taylor]: Taking taylor expansion of 0 in K 6.776 * [backup-simplify]: Simplify 0 into 0 6.776 * [backup-simplify]: Simplify 0 into 0 6.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.778 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.778 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 6.778 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 6.779 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.779 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 6.779 * [backup-simplify]: Simplify (- 0) into 0 6.779 * [backup-simplify]: Simplify (+ 0 0) into 0 6.780 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 6.780 * [backup-simplify]: Simplify (- (/ 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 6.781 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 6.782 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 6.783 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 6.784 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 6.784 * [backup-simplify]: Simplify (- 0) into 0 6.784 * [backup-simplify]: Simplify (+ 0 0) into 0 6.785 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 6.786 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.786 * [taylor]: Taking taylor expansion of 0 in K 6.786 * [backup-simplify]: Simplify 0 into 0 6.786 * [backup-simplify]: Simplify 0 into 0 6.786 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log (/ 1 (- J)))) (log (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)))) (* 2 (log (/ 1 (- U))))))) into (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 6.786 * * * [progress]: simplifying candidates 6.786 * * * * [progress]: [ 1 / 88 ] simplifiying candidate # 6.787 * * * * [progress]: [ 2 / 88 ] simplifiying candidate # 6.787 * * * * [progress]: [ 3 / 88 ] simplifiying candidate # 6.787 * * * * [progress]: [ 4 / 88 ] simplifiying candidate # 6.787 * * * * [progress]: [ 5 / 88 ] simplifiying candidate # 6.787 * * * * [progress]: [ 6 / 88 ] simplifiying candidate # 6.787 * * * * [progress]: [ 7 / 88 ] simplifiying candidate # 6.787 * * * * [progress]: [ 8 / 88 ] simplifiying candidate # 6.787 * * * * [progress]: [ 9 / 88 ] simplifiying candidate # 6.787 * * * * [progress]: [ 10 / 88 ] simplifiying candidate # 6.787 * * * * [progress]: [ 11 / 88 ] simplifiying candidate # 6.787 * * * * [progress]: [ 12 / 88 ] simplifiying candidate # 6.787 * * * * [progress]: [ 13 / 88 ] simplifiying candidate # 6.787 * * * * [progress]: [ 14 / 88 ] simplifiying candidate # 6.787 * * * * [progress]: [ 15 / 88 ] simplifiying candidate # 6.787 * * * * [progress]: [ 16 / 88 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))> 6.787 * * * * [progress]: [ 17 / 88 ] simplifiying candidate # 6.787 * * * * [progress]: [ 18 / 88 ] simplifiying candidate # 6.787 * * * * [progress]: [ 19 / 88 ] simplifiying candidate # 6.787 * * * * [progress]: [ 20 / 88 ] simplifiying candidate # 6.787 * * * * [progress]: [ 21 / 88 ] simplifiying candidate # 6.788 * * * * [progress]: [ 22 / 88 ] simplifiying candidate # 6.788 * * * * [progress]: [ 23 / 88 ] simplifiying candidate # 6.788 * * * * [progress]: [ 24 / 88 ] simplifiying candidate # 6.788 * * * * [progress]: [ 25 / 88 ] simplifiying candidate # 6.788 * * * * [progress]: [ 26 / 88 ] simplifiying candidate # 6.788 * * * * [progress]: [ 27 / 88 ] simplifiying candidate # 6.788 * * * * [progress]: [ 28 / 88 ] simplifiying candidate # 6.788 * * * * [progress]: [ 29 / 88 ] simplifiying candidate # 6.788 * * * * [progress]: [ 30 / 88 ] simplifiying candidate # 6.788 * * * * [progress]: [ 31 / 88 ] simplifiying candidate # 6.788 * * * * [progress]: [ 32 / 88 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))))) (* (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))> 6.788 * * * * [progress]: [ 33 / 88 ] simplifiying candidate # 6.788 * * * * [progress]: [ 34 / 88 ] simplifiying candidate # 6.788 * * * * [progress]: [ 35 / 88 ] simplifiying candidate # 6.788 * * * * [progress]: [ 36 / 88 ] simplifiying candidate # 6.788 * * * * [progress]: [ 37 / 88 ] simplifiying candidate # 6.788 * * * * [progress]: [ 38 / 88 ] simplifiying candidate # 6.788 * * * * [progress]: [ 39 / 88 ] simplifiying candidate # 6.788 * * * * [progress]: [ 40 / 88 ] simplifiying candidate # 6.788 * * * * [progress]: [ 41 / 88 ] simplifiying candidate # 6.789 * * * * [progress]: [ 42 / 88 ] simplifiying candidate # 6.789 * * * * [progress]: [ 43 / 88 ] simplifiying candidate # 6.789 * * * * [progress]: [ 44 / 88 ] simplifiying candidate # 6.789 * * * * [progress]: [ 45 / 88 ] simplifiying candidate # 6.789 * * * * [progress]: [ 46 / 88 ] simplifiying candidate # 6.789 * * * * [progress]: [ 47 / 88 ] simplifiying candidate # 6.789 * * * * [progress]: [ 48 / 88 ] simplifiying candidate # 6.789 * * * * [progress]: [ 49 / 88 ] simplifiying candidate # 6.789 * * * * [progress]: [ 50 / 88 ] simplifiying candidate # 6.789 * * * * [progress]: [ 51 / 88 ] simplifiying candidate # 6.789 * * * * [progress]: [ 52 / 88 ] simplifiying candidate # 6.789 * * * * [progress]: [ 53 / 88 ] simplifiying candidate # 6.789 * * * * [progress]: [ 54 / 88 ] simplifiying candidate #real (real->posit16 (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))> 6.789 * * * * [progress]: [ 55 / 88 ] simplifiying candidate # 6.789 * * * * [progress]: [ 56 / 88 ] simplifiying candidate # 6.789 * * * * [progress]: [ 57 / 88 ] simplifiying candidate # 6.789 * * * * [progress]: [ 58 / 88 ] simplifiying candidate # 6.789 * * * * [progress]: [ 59 / 88 ] simplifiying candidate # 6.789 * * * * [progress]: [ 60 / 88 ] simplifiying candidate # 6.789 * * * * [progress]: [ 61 / 88 ] simplifiying candidate # 6.789 * * * * [progress]: [ 62 / 88 ] simplifiying candidate # 6.790 * * * * [progress]: [ 63 / 88 ] simplifiying candidate # 6.790 * * * * [progress]: [ 64 / 88 ] simplifiying candidate # 6.790 * * * * [progress]: [ 65 / 88 ] simplifiying candidate # 6.790 * * * * [progress]: [ 66 / 88 ] simplifiying candidate # 6.790 * * * * [progress]: [ 67 / 88 ] simplifiying candidate # 6.790 * * * * [progress]: [ 68 / 88 ] simplifiying candidate # 6.790 * * * * [progress]: [ 69 / 88 ] simplifiying candidate # 6.790 * * * * [progress]: [ 70 / 88 ] simplifiying candidate # 6.790 * * * * [progress]: [ 71 / 88 ] simplifiying candidate # 6.790 * * * * [progress]: [ 72 / 88 ] simplifiying candidate # 6.790 * * * * [progress]: [ 73 / 88 ] simplifiying candidate # 6.790 * * * * [progress]: [ 74 / 88 ] simplifiying candidate # 6.790 * * * * [progress]: [ 75 / 88 ] simplifiying candidate # 6.790 * * * * [progress]: [ 76 / 88 ] simplifiying candidate #real (real->posit16 (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))))) (* (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))> 6.790 * * * * [progress]: [ 77 / 88 ] simplifiying candidate # 6.790 * * * * [progress]: [ 78 / 88 ] simplifiying candidate # 6.790 * * * * [progress]: [ 79 / 88 ] simplifiying candidate # 6.790 * * * * [progress]: [ 80 / 88 ] simplifiying candidate # 6.790 * * * * [progress]: [ 81 / 88 ] simplifiying candidate # 6.790 * * * * [progress]: [ 82 / 88 ] simplifiying candidate # 6.790 * * * * [progress]: [ 83 / 88 ] simplifiying candidate # 6.791 * * * * [progress]: [ 84 / 88 ] simplifiying candidate # 6.791 * * * * [progress]: [ 85 / 88 ] simplifiying candidate # 6.791 * * * * [progress]: [ 86 / 88 ] simplifiying candidate # 6.791 * * * * [progress]: [ 87 / 88 ] simplifiying candidate # 6.791 * * * * [progress]: [ 88 / 88 ] simplifiying candidate # 6.792 * [simplify]: Simplifying (log (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (exp (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (* (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (* (* (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt (* (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (sqrt (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt 1), (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)), (sqrt (+ (pow (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 3) (pow 1 3))), (sqrt (+ (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (sqrt (- (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2)))))) (* 1 1))), (sqrt (- (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)), (/ 1 2), (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (real->posit16 (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (log (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (exp (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (* (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (* (* (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt (* (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (sqrt (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt 1), (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)), (sqrt (+ (pow (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 3) (pow 1 3))), (sqrt (+ (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (sqrt (- (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2)))))) (* 1 1))), (sqrt (- (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)), (/ 1 2), (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (real->posit16 (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (log (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (exp (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (* (cbrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (cbrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))))), (cbrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (* (* (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (sqrt (* (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))))), (sqrt (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (sqrt (sqrt (* (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))))), (sqrt (sqrt (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (sqrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (sqrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (sqrt (sqrt 1)), (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (sqrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (sqrt 1), (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt (sqrt (+ (pow (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 3) (pow 1 3)))), (sqrt (sqrt (+ (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))))), (sqrt (sqrt (- (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2)))))) (* 1 1)))), (sqrt (sqrt (- (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (/ 1/2 2), (/ 1 2), (/ (/ 1 2) 2), (sqrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (sqrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (real->posit16 (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (log (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (exp (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (* (cbrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (cbrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))))), (cbrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (* (* (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (sqrt (* (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))))), (sqrt (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (sqrt (sqrt (* (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))))), (sqrt (sqrt (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (sqrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (sqrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (sqrt (sqrt 1)), (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (sqrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (sqrt 1), (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt (sqrt (+ (pow (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 3) (pow 1 3)))), (sqrt (sqrt (+ (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))))), (sqrt (sqrt (- (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2)))))) (* 1 1)))), (sqrt (sqrt (- (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (/ 1/2 2), (/ 1 2), (/ (/ 1 2) 2), (sqrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (sqrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (real->posit16 (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), 1, (* 1/2 (/ U (* (cos (* 1/2 K)) J))), (* 1/2 (/ U (* (cos (* 1/2 K)) J))), 1, (* 1/2 (/ U (* (cos (* 1/2 K)) J))), (* 1/2 (/ U (* (cos (* 1/2 K)) J))), 1, (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))), (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))), 1, (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))), (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 6.794 * * [simplify]: iteration 1: (92 enodes) 6.844 * * [simplify]: iteration 2: (348 enodes) 6.909 * * [simplify]: iteration 3: (702 enodes) 7.240 * * [simplify]: Extracting #0: cost 35 inf + 0 7.240 * * [simplify]: Extracting #1: cost 136 inf + 3 7.242 * * [simplify]: Extracting #2: cost 350 inf + 347 7.246 * * [simplify]: Extracting #3: cost 646 inf + 1862 7.267 * * [simplify]: Extracting #4: cost 617 inf + 33741 7.290 * * [simplify]: Extracting #5: cost 355 inf + 112590 7.340 * * [simplify]: Extracting #6: cost 160 inf + 181488 7.407 * * [simplify]: Extracting #7: cost 22 inf + 235390 7.465 * * [simplify]: Extracting #8: cost 0 inf + 245666 7.551 * [simplify]: Simplified to (log (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (exp (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (* (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1)))), (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (* (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1) (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (fabs (cbrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (sqrt (cbrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), 1, (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1)), (sqrt (+ (* (* (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (* (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (/ (/ U (+ J J)) (cos (* 1/2 K))))) 1)), (sqrt (+ (* (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K))))) (- 1 (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K))))))), (sqrt (+ -1 (* (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K))))))), (sqrt (+ -1 (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))))), 1/2, (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (real->posit16 (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (log (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (exp (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (* (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1)))), (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (* (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1) (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (fabs (cbrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (sqrt (cbrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), 1, (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1)), (sqrt (+ (* (* (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (* (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (/ (/ U (+ J J)) (cos (* 1/2 K))))) 1)), (sqrt (+ (* (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K))))) (- 1 (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K))))))), (sqrt (+ -1 (* (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K))))))), (sqrt (+ -1 (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))))), 1/2, (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (real->posit16 (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (log (sqrt (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)))), (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)))))) 7.567 * * * [progress]: adding candidates to table 8.976 * * [progress]: iteration 3 / 4 8.976 * * * [progress]: picking best candidate 9.016 * * * * [pick]: Picked # 9.016 * * * [progress]: localizing error 9.132 * * * [progress]: generating rewritten candidates 9.132 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 9.221 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1) 9.299 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 9.377 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 9.449 * * * [progress]: generating series expansions 9.449 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 9.450 * [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)) 9.450 * [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 9.450 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 9.450 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 9.450 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 9.450 * [taylor]: Taking taylor expansion of 1/4 in K 9.450 * [backup-simplify]: Simplify 1/4 into 1/4 9.450 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 9.450 * [taylor]: Taking taylor expansion of (pow U 2) in K 9.450 * [taylor]: Taking taylor expansion of U in K 9.450 * [backup-simplify]: Simplify U into U 9.450 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 9.450 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 9.450 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 9.450 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 9.450 * [taylor]: Taking taylor expansion of 1/2 in K 9.450 * [backup-simplify]: Simplify 1/2 into 1/2 9.450 * [taylor]: Taking taylor expansion of K in K 9.450 * [backup-simplify]: Simplify 0 into 0 9.450 * [backup-simplify]: Simplify 1 into 1 9.451 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.451 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.451 * [taylor]: Taking taylor expansion of (pow J 2) in K 9.451 * [taylor]: Taking taylor expansion of J in K 9.451 * [backup-simplify]: Simplify J into J 9.451 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.451 * [backup-simplify]: Simplify (* 1 1) into 1 9.452 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.452 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 9.452 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 9.452 * [taylor]: Taking taylor expansion of 1 in K 9.452 * [backup-simplify]: Simplify 1 into 1 9.452 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 9.452 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 9.452 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 9.452 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 9.452 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.452 * [backup-simplify]: Simplify (+ 0) into 0 9.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 9.453 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 9.454 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 9.454 * [backup-simplify]: Simplify (+ 0 0) into 0 9.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 9.454 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 9.455 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 9.455 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 9.455 * [taylor]: Taking taylor expansion of 1/4 in J 9.455 * [backup-simplify]: Simplify 1/4 into 1/4 9.455 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 9.455 * [taylor]: Taking taylor expansion of (pow U 2) in J 9.455 * [taylor]: Taking taylor expansion of U in J 9.455 * [backup-simplify]: Simplify U into U 9.455 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 9.455 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 9.455 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 9.455 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 9.455 * [taylor]: Taking taylor expansion of 1/2 in J 9.455 * [backup-simplify]: Simplify 1/2 into 1/2 9.455 * [taylor]: Taking taylor expansion of K in J 9.455 * [backup-simplify]: Simplify K into K 9.455 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.455 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.455 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.455 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.455 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.455 * [backup-simplify]: Simplify (- 0) into 0 9.456 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.456 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.456 * [taylor]: Taking taylor expansion of J in J 9.456 * [backup-simplify]: Simplify 0 into 0 9.456 * [backup-simplify]: Simplify 1 into 1 9.456 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.456 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 9.456 * [backup-simplify]: Simplify (* 1 1) into 1 9.456 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 9.456 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 9.456 * [taylor]: Taking taylor expansion of 1 in J 9.456 * [backup-simplify]: Simplify 1 into 1 9.457 * [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))) 9.457 * [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))) 9.457 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 9.457 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 9.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.458 * [backup-simplify]: Simplify (+ 0) into 0 9.458 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 9.459 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 9.459 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.460 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 9.460 * [backup-simplify]: Simplify (- 0) into 0 9.461 * [backup-simplify]: Simplify (+ 0 0) into 0 9.461 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 9.461 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 9.461 * [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 9.462 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 9.462 * [backup-simplify]: Simplify (+ 0 0) into 0 9.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 9.463 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 9.463 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 9.463 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 9.463 * [taylor]: Taking taylor expansion of 1/4 in U 9.463 * [backup-simplify]: Simplify 1/4 into 1/4 9.463 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 9.463 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.463 * [taylor]: Taking taylor expansion of U in U 9.463 * [backup-simplify]: Simplify 0 into 0 9.463 * [backup-simplify]: Simplify 1 into 1 9.463 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 9.463 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 9.463 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 9.463 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 9.463 * [taylor]: Taking taylor expansion of 1/2 in U 9.463 * [backup-simplify]: Simplify 1/2 into 1/2 9.463 * [taylor]: Taking taylor expansion of K in U 9.463 * [backup-simplify]: Simplify K into K 9.463 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.463 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.463 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.463 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.463 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.464 * [backup-simplify]: Simplify (- 0) into 0 9.464 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.464 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.464 * [taylor]: Taking taylor expansion of J in U 9.464 * [backup-simplify]: Simplify J into J 9.464 * [backup-simplify]: Simplify (* 1 1) into 1 9.464 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 9.464 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.464 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 9.464 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 9.464 * [taylor]: Taking taylor expansion of 1 in U 9.465 * [backup-simplify]: Simplify 1 into 1 9.465 * [backup-simplify]: Simplify (+ 0 1) into 1 9.465 * [backup-simplify]: Simplify (sqrt 1) into 1 9.465 * [backup-simplify]: Simplify (+ 0 0) into 0 9.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.466 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 9.466 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 9.466 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 9.466 * [taylor]: Taking taylor expansion of 1/4 in U 9.466 * [backup-simplify]: Simplify 1/4 into 1/4 9.466 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 9.466 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.466 * [taylor]: Taking taylor expansion of U in U 9.466 * [backup-simplify]: Simplify 0 into 0 9.466 * [backup-simplify]: Simplify 1 into 1 9.466 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 9.466 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 9.466 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 9.466 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 9.466 * [taylor]: Taking taylor expansion of 1/2 in U 9.466 * [backup-simplify]: Simplify 1/2 into 1/2 9.466 * [taylor]: Taking taylor expansion of K in U 9.466 * [backup-simplify]: Simplify K into K 9.467 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.467 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.467 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.467 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.467 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.467 * [backup-simplify]: Simplify (- 0) into 0 9.467 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.467 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.467 * [taylor]: Taking taylor expansion of J in U 9.467 * [backup-simplify]: Simplify J into J 9.468 * [backup-simplify]: Simplify (* 1 1) into 1 9.468 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 9.468 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.468 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 9.468 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 9.468 * [taylor]: Taking taylor expansion of 1 in U 9.468 * [backup-simplify]: Simplify 1 into 1 9.469 * [backup-simplify]: Simplify (+ 0 1) into 1 9.469 * [backup-simplify]: Simplify (sqrt 1) into 1 9.469 * [backup-simplify]: Simplify (+ 0 0) into 0 9.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.470 * [taylor]: Taking taylor expansion of 1 in J 9.470 * [backup-simplify]: Simplify 1 into 1 9.470 * [taylor]: Taking taylor expansion of 0 in J 9.470 * [backup-simplify]: Simplify 0 into 0 9.470 * [taylor]: Taking taylor expansion of 1 in K 9.470 * [backup-simplify]: Simplify 1 into 1 9.470 * [backup-simplify]: Simplify 1 into 1 9.470 * [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))) 9.470 * [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)))) 9.471 * [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))) 9.471 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 9.471 * [taylor]: Taking taylor expansion of 1/8 in J 9.471 * [backup-simplify]: Simplify 1/8 into 1/8 9.471 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 9.471 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 9.471 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 9.471 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 9.471 * [taylor]: Taking taylor expansion of 1/2 in J 9.471 * [backup-simplify]: Simplify 1/2 into 1/2 9.471 * [taylor]: Taking taylor expansion of K in J 9.471 * [backup-simplify]: Simplify K into K 9.471 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.471 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.471 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.471 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.471 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.472 * [backup-simplify]: Simplify (- 0) into 0 9.472 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.472 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.472 * [taylor]: Taking taylor expansion of J in J 9.472 * [backup-simplify]: Simplify 0 into 0 9.472 * [backup-simplify]: Simplify 1 into 1 9.472 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 9.472 * [backup-simplify]: Simplify (* 1 1) into 1 9.472 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 9.472 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 9.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.473 * [backup-simplify]: Simplify (+ 0) into 0 9.473 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 9.474 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 9.474 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.474 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 9.475 * [backup-simplify]: Simplify (- 0) into 0 9.475 * [backup-simplify]: Simplify (+ 0 0) into 0 9.475 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 9.475 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 9.476 * [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 9.476 * [taylor]: Taking taylor expansion of 0 in K 9.476 * [backup-simplify]: Simplify 0 into 0 9.476 * [backup-simplify]: Simplify 0 into 0 9.476 * [taylor]: Taking taylor expansion of 0 in K 9.476 * [backup-simplify]: Simplify 0 into 0 9.476 * [backup-simplify]: Simplify 0 into 0 9.476 * [taylor]: Taking taylor expansion of 0 in K 9.476 * [backup-simplify]: Simplify 0 into 0 9.476 * [backup-simplify]: Simplify 0 into 0 9.476 * [backup-simplify]: Simplify 0 into 0 9.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.476 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.476 * [backup-simplify]: Simplify (+ 0) into 0 9.477 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 9.477 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 9.478 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.478 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 9.478 * [backup-simplify]: Simplify (- 0) into 0 9.478 * [backup-simplify]: Simplify (+ 0 0) into 0 9.478 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 9.479 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 9.479 * [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 9.479 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 9.479 * [backup-simplify]: Simplify (+ 0 0) into 0 9.480 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 9.480 * [taylor]: Taking taylor expansion of 0 in J 9.480 * [backup-simplify]: Simplify 0 into 0 9.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.481 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.482 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.482 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 9.485 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.485 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.486 * [backup-simplify]: Simplify (- 0) into 0 9.486 * [backup-simplify]: Simplify (+ 0 0) into 0 9.486 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 9.487 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 9.487 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 9.487 * [taylor]: Taking taylor expansion of 0 in K 9.487 * [backup-simplify]: Simplify 0 into 0 9.487 * [backup-simplify]: Simplify 0 into 0 9.487 * [taylor]: Taking taylor expansion of 0 in K 9.487 * [backup-simplify]: Simplify 0 into 0 9.487 * [backup-simplify]: Simplify 0 into 0 9.487 * [backup-simplify]: Simplify 1 into 1 9.487 * [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)) 9.487 * [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 9.487 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 9.487 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 9.488 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 9.488 * [taylor]: Taking taylor expansion of 1/4 in K 9.488 * [backup-simplify]: Simplify 1/4 into 1/4 9.488 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 9.488 * [taylor]: Taking taylor expansion of (pow J 2) in K 9.488 * [taylor]: Taking taylor expansion of J in K 9.488 * [backup-simplify]: Simplify J into J 9.488 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 9.488 * [taylor]: Taking taylor expansion of (pow U 2) in K 9.488 * [taylor]: Taking taylor expansion of U in K 9.488 * [backup-simplify]: Simplify U into U 9.488 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 9.488 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 9.488 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 9.488 * [taylor]: Taking taylor expansion of 1/2 in K 9.488 * [backup-simplify]: Simplify 1/2 into 1/2 9.488 * [taylor]: Taking taylor expansion of K in K 9.488 * [backup-simplify]: Simplify 0 into 0 9.488 * [backup-simplify]: Simplify 1 into 1 9.488 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.488 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.488 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.488 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.488 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.488 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 9.489 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 9.489 * [taylor]: Taking taylor expansion of 1 in K 9.489 * [backup-simplify]: Simplify 1 into 1 9.489 * [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)))) 9.489 * [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) 9.490 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 9.490 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.490 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 9.490 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 9.490 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 9.490 * [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 9.491 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 9.491 * [backup-simplify]: Simplify (+ 0 0) into 0 9.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 9.491 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 9.491 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 9.491 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 9.491 * [taylor]: Taking taylor expansion of 1/4 in J 9.491 * [backup-simplify]: Simplify 1/4 into 1/4 9.491 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 9.491 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.491 * [taylor]: Taking taylor expansion of J in J 9.491 * [backup-simplify]: Simplify 0 into 0 9.491 * [backup-simplify]: Simplify 1 into 1 9.491 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 9.491 * [taylor]: Taking taylor expansion of (pow U 2) in J 9.491 * [taylor]: Taking taylor expansion of U in J 9.491 * [backup-simplify]: Simplify U into U 9.491 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 9.491 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 9.491 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 9.491 * [taylor]: Taking taylor expansion of 1/2 in J 9.491 * [backup-simplify]: Simplify 1/2 into 1/2 9.492 * [taylor]: Taking taylor expansion of K in J 9.492 * [backup-simplify]: Simplify K into K 9.492 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.492 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.492 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.492 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.492 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.492 * [backup-simplify]: Simplify (- 0) into 0 9.492 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.492 * [backup-simplify]: Simplify (* 1 1) into 1 9.492 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.492 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.493 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 9.493 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 9.493 * [taylor]: Taking taylor expansion of 1 in J 9.493 * [backup-simplify]: Simplify 1 into 1 9.493 * [backup-simplify]: Simplify (+ 0 1) into 1 9.493 * [backup-simplify]: Simplify (sqrt 1) into 1 9.493 * [backup-simplify]: Simplify (+ 0 0) into 0 9.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.494 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 9.494 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 9.494 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 9.494 * [taylor]: Taking taylor expansion of 1/4 in U 9.494 * [backup-simplify]: Simplify 1/4 into 1/4 9.494 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 9.494 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.494 * [taylor]: Taking taylor expansion of J in U 9.494 * [backup-simplify]: Simplify J into J 9.494 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 9.494 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.494 * [taylor]: Taking taylor expansion of U in U 9.494 * [backup-simplify]: Simplify 0 into 0 9.494 * [backup-simplify]: Simplify 1 into 1 9.494 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 9.494 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 9.494 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 9.494 * [taylor]: Taking taylor expansion of 1/2 in U 9.494 * [backup-simplify]: Simplify 1/2 into 1/2 9.494 * [taylor]: Taking taylor expansion of K in U 9.494 * [backup-simplify]: Simplify K into K 9.494 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.494 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.494 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.494 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.494 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.495 * [backup-simplify]: Simplify (- 0) into 0 9.495 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.495 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.495 * [backup-simplify]: Simplify (* 1 1) into 1 9.495 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.495 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 9.495 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 9.495 * [taylor]: Taking taylor expansion of 1 in U 9.495 * [backup-simplify]: Simplify 1 into 1 9.495 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 9.496 * [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))) 9.496 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 9.496 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.496 * [backup-simplify]: Simplify (+ 0) into 0 9.496 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.496 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.497 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.497 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.498 * [backup-simplify]: Simplify (- 0) into 0 9.498 * [backup-simplify]: Simplify (+ 0 0) into 0 9.498 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 9.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 9.500 * [backup-simplify]: 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 9.500 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 9.501 * [backup-simplify]: Simplify (+ 0 0) into 0 9.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 9.501 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 9.501 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 9.501 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 9.501 * [taylor]: Taking taylor expansion of 1/4 in U 9.501 * [backup-simplify]: Simplify 1/4 into 1/4 9.501 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 9.501 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.501 * [taylor]: Taking taylor expansion of J in U 9.501 * [backup-simplify]: Simplify J into J 9.501 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 9.501 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.501 * [taylor]: Taking taylor expansion of U in U 9.501 * [backup-simplify]: Simplify 0 into 0 9.501 * [backup-simplify]: Simplify 1 into 1 9.501 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 9.501 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 9.501 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 9.501 * [taylor]: Taking taylor expansion of 1/2 in U 9.501 * [backup-simplify]: Simplify 1/2 into 1/2 9.501 * [taylor]: Taking taylor expansion of K in U 9.501 * [backup-simplify]: Simplify K into K 9.502 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.502 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.502 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.502 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.502 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.502 * [backup-simplify]: Simplify (- 0) into 0 9.502 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.502 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.503 * [backup-simplify]: Simplify (* 1 1) into 1 9.503 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.503 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 9.503 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 9.503 * [taylor]: Taking taylor expansion of 1 in U 9.503 * [backup-simplify]: Simplify 1 into 1 9.503 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 9.504 * [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))) 9.504 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 9.504 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.504 * [backup-simplify]: Simplify (+ 0) into 0 9.505 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.505 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.506 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.506 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.507 * [backup-simplify]: Simplify (- 0) into 0 9.507 * [backup-simplify]: Simplify (+ 0 0) into 0 9.507 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 9.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 9.509 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 9.510 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 9.510 * [backup-simplify]: Simplify (+ 0 0) into 0 9.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 9.510 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 9.510 * [taylor]: Taking taylor expansion of 1/2 in J 9.510 * [backup-simplify]: Simplify 1/2 into 1/2 9.510 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 9.510 * [taylor]: Taking taylor expansion of J in J 9.510 * [backup-simplify]: Simplify 0 into 0 9.510 * [backup-simplify]: Simplify 1 into 1 9.510 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 9.510 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 9.510 * [taylor]: Taking taylor expansion of 1/2 in J 9.510 * [backup-simplify]: Simplify 1/2 into 1/2 9.510 * [taylor]: Taking taylor expansion of K in J 9.510 * [backup-simplify]: Simplify K into K 9.510 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.510 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.510 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.510 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.510 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.511 * [backup-simplify]: Simplify (- 0) into 0 9.511 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.511 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 9.511 * [taylor]: Taking taylor expansion of 0 in J 9.511 * [backup-simplify]: Simplify 0 into 0 9.511 * [taylor]: Taking taylor expansion of 0 in K 9.511 * [backup-simplify]: Simplify 0 into 0 9.511 * [backup-simplify]: Simplify 0 into 0 9.511 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 9.511 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 9.511 * [taylor]: Taking taylor expansion of 1/2 in K 9.511 * [backup-simplify]: Simplify 1/2 into 1/2 9.511 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 9.511 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 9.511 * [taylor]: Taking taylor expansion of 1/2 in K 9.511 * [backup-simplify]: Simplify 1/2 into 1/2 9.511 * [taylor]: Taking taylor expansion of K in K 9.511 * [backup-simplify]: Simplify 0 into 0 9.511 * [backup-simplify]: Simplify 1 into 1 9.511 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.512 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.512 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 9.512 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 9.512 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 9.512 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.513 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.513 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.513 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.514 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.514 * [backup-simplify]: Simplify (- 0) into 0 9.514 * [backup-simplify]: Simplify (+ 0 0) into 0 9.515 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 9.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 9.516 * [backup-simplify]: 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 9.517 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 9.517 * [backup-simplify]: Simplify (+ 0 1) into 1 9.517 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 9.517 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 9.517 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 9.517 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 9.517 * [taylor]: Taking taylor expansion of 1/2 in J 9.517 * [backup-simplify]: Simplify 1/2 into 1/2 9.517 * [taylor]: Taking taylor expansion of K in J 9.518 * [backup-simplify]: Simplify K into K 9.518 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.518 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.518 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.518 * [taylor]: Taking taylor expansion of J in J 9.518 * [backup-simplify]: Simplify 0 into 0 9.518 * [backup-simplify]: Simplify 1 into 1 9.518 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.518 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.518 * [backup-simplify]: Simplify (- 0) into 0 9.518 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.518 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.518 * [backup-simplify]: Simplify (+ 0) into 0 9.519 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.519 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.519 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.520 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.520 * [backup-simplify]: Simplify (- 0) into 0 9.520 * [backup-simplify]: Simplify (+ 0 0) into 0 9.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 9.521 * [taylor]: Taking taylor expansion of 0 in K 9.521 * [backup-simplify]: Simplify 0 into 0 9.521 * [backup-simplify]: Simplify 0 into 0 9.521 * [taylor]: Taking taylor expansion of 0 in K 9.521 * [backup-simplify]: Simplify 0 into 0 9.521 * [backup-simplify]: Simplify 0 into 0 9.521 * [backup-simplify]: Simplify (+ 0) into 0 9.521 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.521 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.522 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.522 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.522 * [backup-simplify]: Simplify (- 0) into 0 9.523 * [backup-simplify]: Simplify (+ 0 0) into 0 9.523 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 9.523 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 9.523 * [taylor]: Taking taylor expansion of 0 in K 9.523 * [backup-simplify]: Simplify 0 into 0 9.523 * [backup-simplify]: Simplify 0 into 0 9.523 * [backup-simplify]: Simplify 0 into 0 9.523 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 9.523 * [backup-simplify]: Simplify 0 into 0 9.524 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 9.525 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.525 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.525 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.526 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 9.527 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 9.527 * [backup-simplify]: Simplify (- 0) into 0 9.527 * [backup-simplify]: Simplify (+ 0 0) into 0 9.528 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 9.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 9.529 * [backup-simplify]: 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 9.530 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 9.531 * [backup-simplify]: Simplify (+ 0 0) into 0 9.531 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 9.531 * [taylor]: Taking taylor expansion of 0 in J 9.531 * [backup-simplify]: Simplify 0 into 0 9.531 * [taylor]: Taking taylor expansion of 0 in K 9.531 * [backup-simplify]: Simplify 0 into 0 9.531 * [backup-simplify]: Simplify 0 into 0 9.531 * [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))) 9.531 * [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)))))) 9.532 * [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 9.532 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 9.532 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 9.532 * [taylor]: Taking taylor expansion of 1 in K 9.532 * [backup-simplify]: Simplify 1 into 1 9.532 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 9.532 * [taylor]: Taking taylor expansion of 1/4 in K 9.532 * [backup-simplify]: Simplify 1/4 into 1/4 9.532 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 9.532 * [taylor]: Taking taylor expansion of (pow J 2) in K 9.532 * [taylor]: Taking taylor expansion of J in K 9.532 * [backup-simplify]: Simplify J into J 9.532 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 9.532 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 9.532 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 9.532 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 9.532 * [taylor]: Taking taylor expansion of -1/2 in K 9.532 * [backup-simplify]: Simplify -1/2 into -1/2 9.532 * [taylor]: Taking taylor expansion of K in K 9.532 * [backup-simplify]: Simplify 0 into 0 9.532 * [backup-simplify]: Simplify 1 into 1 9.532 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.532 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.532 * [taylor]: Taking taylor expansion of (pow U 2) in K 9.532 * [taylor]: Taking taylor expansion of U in K 9.532 * [backup-simplify]: Simplify U into U 9.532 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.532 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.532 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.533 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 9.533 * [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))) 9.533 * [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)))) 9.533 * [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))))) 9.533 * [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)))))) 9.533 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.533 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 9.533 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 9.534 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 9.534 * [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 9.534 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 9.535 * [backup-simplify]: Simplify (+ 0 0) into 0 9.535 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 9.535 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 9.535 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 9.535 * [taylor]: Taking taylor expansion of 1 in J 9.535 * [backup-simplify]: Simplify 1 into 1 9.535 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 9.535 * [taylor]: Taking taylor expansion of 1/4 in J 9.535 * [backup-simplify]: Simplify 1/4 into 1/4 9.535 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 9.535 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.535 * [taylor]: Taking taylor expansion of J in J 9.535 * [backup-simplify]: Simplify 0 into 0 9.535 * [backup-simplify]: Simplify 1 into 1 9.535 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 9.535 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 9.535 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 9.535 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 9.535 * [taylor]: Taking taylor expansion of -1/2 in J 9.535 * [backup-simplify]: Simplify -1/2 into -1/2 9.535 * [taylor]: Taking taylor expansion of K in J 9.535 * [backup-simplify]: Simplify K into K 9.535 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.535 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.535 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.535 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.535 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.536 * [backup-simplify]: Simplify (- 0) into 0 9.536 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.536 * [taylor]: Taking taylor expansion of (pow U 2) in J 9.536 * [taylor]: Taking taylor expansion of U in J 9.536 * [backup-simplify]: Simplify U into U 9.536 * [backup-simplify]: Simplify (* 1 1) into 1 9.536 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.536 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.536 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 9.536 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 9.537 * [backup-simplify]: Simplify (+ 1 0) into 1 9.537 * [backup-simplify]: Simplify (sqrt 1) into 1 9.537 * [backup-simplify]: Simplify (+ 0 0) into 0 9.538 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.538 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 9.538 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 9.538 * [taylor]: Taking taylor expansion of 1 in U 9.538 * [backup-simplify]: Simplify 1 into 1 9.538 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 9.538 * [taylor]: Taking taylor expansion of 1/4 in U 9.538 * [backup-simplify]: Simplify 1/4 into 1/4 9.538 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 9.538 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.538 * [taylor]: Taking taylor expansion of J in U 9.538 * [backup-simplify]: Simplify J into J 9.538 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 9.538 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 9.538 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 9.538 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 9.538 * [taylor]: Taking taylor expansion of -1/2 in U 9.538 * [backup-simplify]: Simplify -1/2 into -1/2 9.538 * [taylor]: Taking taylor expansion of K in U 9.538 * [backup-simplify]: Simplify K into K 9.538 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.538 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.538 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.538 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.538 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.538 * [backup-simplify]: Simplify (- 0) into 0 9.538 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.538 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.538 * [taylor]: Taking taylor expansion of U in U 9.538 * [backup-simplify]: Simplify 0 into 0 9.538 * [backup-simplify]: Simplify 1 into 1 9.538 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.539 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.539 * [backup-simplify]: Simplify (* 1 1) into 1 9.539 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 9.539 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 9.539 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 9.539 * [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))) 9.540 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 9.540 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.540 * [backup-simplify]: Simplify (+ 0) into 0 9.541 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 9.541 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 9.541 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.541 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 9.542 * [backup-simplify]: Simplify (- 0) into 0 9.542 * [backup-simplify]: Simplify (+ 0 0) into 0 9.542 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 9.542 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 9.543 * [backup-simplify]: 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 9.543 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 9.543 * [backup-simplify]: Simplify (+ 0 0) into 0 9.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 9.543 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 9.543 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 9.543 * [taylor]: Taking taylor expansion of 1 in U 9.543 * [backup-simplify]: Simplify 1 into 1 9.543 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 9.544 * [taylor]: Taking taylor expansion of 1/4 in U 9.544 * [backup-simplify]: Simplify 1/4 into 1/4 9.544 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 9.544 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.544 * [taylor]: Taking taylor expansion of J in U 9.544 * [backup-simplify]: Simplify J into J 9.544 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 9.544 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 9.544 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 9.544 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 9.544 * [taylor]: Taking taylor expansion of -1/2 in U 9.544 * [backup-simplify]: Simplify -1/2 into -1/2 9.544 * [taylor]: Taking taylor expansion of K in U 9.544 * [backup-simplify]: Simplify K into K 9.544 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.544 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.544 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.544 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.544 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.544 * [backup-simplify]: Simplify (- 0) into 0 9.544 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.544 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.544 * [taylor]: Taking taylor expansion of U in U 9.544 * [backup-simplify]: Simplify 0 into 0 9.544 * [backup-simplify]: Simplify 1 into 1 9.544 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.544 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.545 * [backup-simplify]: Simplify (* 1 1) into 1 9.545 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 9.545 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 9.545 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 9.545 * [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))) 9.545 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 9.545 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.546 * [backup-simplify]: Simplify (+ 0) into 0 9.547 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 9.547 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 9.548 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.548 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 9.548 * [backup-simplify]: Simplify (- 0) into 0 9.549 * [backup-simplify]: Simplify (+ 0 0) into 0 9.549 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 9.549 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 9.550 * [backup-simplify]: 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 9.550 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 9.550 * [backup-simplify]: Simplify (+ 0 0) into 0 9.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 9.551 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 9.551 * [taylor]: Taking taylor expansion of 1/2 in J 9.551 * [backup-simplify]: Simplify 1/2 into 1/2 9.551 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 9.551 * [taylor]: Taking taylor expansion of J in J 9.551 * [backup-simplify]: Simplify 0 into 0 9.551 * [backup-simplify]: Simplify 1 into 1 9.551 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 9.551 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 9.551 * [taylor]: Taking taylor expansion of -1/2 in J 9.551 * [backup-simplify]: Simplify -1/2 into -1/2 9.551 * [taylor]: Taking taylor expansion of K in J 9.551 * [backup-simplify]: Simplify K into K 9.551 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.551 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.551 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.551 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.551 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.552 * [backup-simplify]: Simplify (- 0) into 0 9.552 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.552 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 9.552 * [taylor]: Taking taylor expansion of 0 in J 9.552 * [backup-simplify]: Simplify 0 into 0 9.552 * [taylor]: Taking taylor expansion of 0 in K 9.552 * [backup-simplify]: Simplify 0 into 0 9.552 * [backup-simplify]: Simplify 0 into 0 9.552 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 9.552 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 9.552 * [taylor]: Taking taylor expansion of 1/2 in K 9.552 * [backup-simplify]: Simplify 1/2 into 1/2 9.552 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 9.552 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 9.552 * [taylor]: Taking taylor expansion of -1/2 in K 9.552 * [backup-simplify]: Simplify -1/2 into -1/2 9.552 * [taylor]: Taking taylor expansion of K in K 9.552 * [backup-simplify]: Simplify 0 into 0 9.552 * [backup-simplify]: Simplify 1 into 1 9.553 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.553 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.553 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 9.553 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 9.553 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 9.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.555 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.556 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.556 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.557 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.557 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.557 * [backup-simplify]: Simplify (- 0) into 0 9.558 * [backup-simplify]: Simplify (+ 0 0) into 0 9.558 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 9.559 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 9.559 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 9.560 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 9.561 * [backup-simplify]: Simplify (+ 1 0) into 1 9.561 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 9.561 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 9.561 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 9.561 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 9.561 * [taylor]: Taking taylor expansion of -1/2 in J 9.562 * [backup-simplify]: Simplify -1/2 into -1/2 9.562 * [taylor]: Taking taylor expansion of K in J 9.562 * [backup-simplify]: Simplify K into K 9.562 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.562 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.562 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.562 * [taylor]: Taking taylor expansion of J in J 9.562 * [backup-simplify]: Simplify 0 into 0 9.562 * [backup-simplify]: Simplify 1 into 1 9.562 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.562 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.562 * [backup-simplify]: Simplify (- 0) into 0 9.562 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.562 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.562 * [backup-simplify]: Simplify (+ 0) into 0 9.563 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 9.563 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 9.563 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.564 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 9.564 * [backup-simplify]: Simplify (- 0) into 0 9.564 * [backup-simplify]: Simplify (+ 0 0) into 0 9.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 9.565 * [taylor]: Taking taylor expansion of 0 in K 9.565 * [backup-simplify]: Simplify 0 into 0 9.565 * [backup-simplify]: Simplify 0 into 0 9.565 * [taylor]: Taking taylor expansion of 0 in K 9.565 * [backup-simplify]: Simplify 0 into 0 9.565 * [backup-simplify]: Simplify 0 into 0 9.565 * [backup-simplify]: Simplify (+ 0) into 0 9.565 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 9.565 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 9.566 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.566 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 9.566 * [backup-simplify]: Simplify (- 0) into 0 9.567 * [backup-simplify]: Simplify (+ 0 0) into 0 9.567 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 9.567 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 9.567 * [taylor]: Taking taylor expansion of 0 in K 9.567 * [backup-simplify]: Simplify 0 into 0 9.567 * [backup-simplify]: Simplify 0 into 0 9.567 * [backup-simplify]: Simplify 0 into 0 9.567 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 9.567 * [backup-simplify]: Simplify 0 into 0 9.568 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 9.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.569 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.569 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.570 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.570 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 9.571 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 9.571 * [backup-simplify]: Simplify (- 0) into 0 9.571 * [backup-simplify]: Simplify (+ 0 0) into 0 9.572 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 9.572 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.573 * [backup-simplify]: 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 9.574 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 9.574 * [backup-simplify]: Simplify (+ 0 0) into 0 9.574 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 9.574 * [taylor]: Taking taylor expansion of 0 in J 9.574 * [backup-simplify]: Simplify 0 into 0 9.574 * [taylor]: Taking taylor expansion of 0 in K 9.574 * [backup-simplify]: Simplify 0 into 0 9.574 * [backup-simplify]: Simplify 0 into 0 9.574 * [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))) 9.574 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1) 9.575 * [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)) 9.575 * [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 9.575 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 9.575 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 9.575 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 9.575 * [taylor]: Taking taylor expansion of 1/4 in K 9.575 * [backup-simplify]: Simplify 1/4 into 1/4 9.575 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 9.575 * [taylor]: Taking taylor expansion of (pow U 2) in K 9.575 * [taylor]: Taking taylor expansion of U in K 9.575 * [backup-simplify]: Simplify U into U 9.575 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 9.575 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 9.575 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 9.575 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 9.575 * [taylor]: Taking taylor expansion of 1/2 in K 9.575 * [backup-simplify]: Simplify 1/2 into 1/2 9.575 * [taylor]: Taking taylor expansion of K in K 9.575 * [backup-simplify]: Simplify 0 into 0 9.575 * [backup-simplify]: Simplify 1 into 1 9.576 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.576 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.576 * [taylor]: Taking taylor expansion of (pow J 2) in K 9.576 * [taylor]: Taking taylor expansion of J in K 9.576 * [backup-simplify]: Simplify J into J 9.576 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.576 * [backup-simplify]: Simplify (* 1 1) into 1 9.576 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.576 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 9.577 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 9.577 * [taylor]: Taking taylor expansion of 1 in K 9.577 * [backup-simplify]: Simplify 1 into 1 9.577 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 9.577 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 9.577 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 9.577 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 9.577 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.577 * [backup-simplify]: Simplify (+ 0) into 0 9.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 9.578 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 9.579 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 9.579 * [backup-simplify]: Simplify (+ 0 0) into 0 9.579 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 9.579 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 9.579 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 9.579 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 9.579 * [taylor]: Taking taylor expansion of 1/4 in J 9.579 * [backup-simplify]: Simplify 1/4 into 1/4 9.579 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 9.579 * [taylor]: Taking taylor expansion of (pow U 2) in J 9.579 * [taylor]: Taking taylor expansion of U in J 9.579 * [backup-simplify]: Simplify U into U 9.579 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 9.579 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 9.579 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 9.579 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 9.579 * [taylor]: Taking taylor expansion of 1/2 in J 9.579 * [backup-simplify]: Simplify 1/2 into 1/2 9.579 * [taylor]: Taking taylor expansion of K in J 9.579 * [backup-simplify]: Simplify K into K 9.579 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.579 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.579 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.579 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.579 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.580 * [backup-simplify]: Simplify (- 0) into 0 9.580 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.580 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.580 * [taylor]: Taking taylor expansion of J in J 9.580 * [backup-simplify]: Simplify 0 into 0 9.580 * [backup-simplify]: Simplify 1 into 1 9.580 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.580 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 9.580 * [backup-simplify]: Simplify (* 1 1) into 1 9.580 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 9.580 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 9.580 * [taylor]: Taking taylor expansion of 1 in J 9.580 * [backup-simplify]: Simplify 1 into 1 9.580 * [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))) 9.581 * [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))) 9.581 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 9.581 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 9.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.582 * [backup-simplify]: Simplify (+ 0) into 0 9.582 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 9.582 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 9.583 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.583 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 9.583 * [backup-simplify]: Simplify (- 0) into 0 9.583 * [backup-simplify]: Simplify (+ 0 0) into 0 9.583 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 9.584 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 9.584 * [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 9.584 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 9.585 * [backup-simplify]: Simplify (+ 0 0) into 0 9.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 9.585 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 9.585 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 9.585 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 9.585 * [taylor]: Taking taylor expansion of 1/4 in U 9.585 * [backup-simplify]: Simplify 1/4 into 1/4 9.585 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 9.585 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.585 * [taylor]: Taking taylor expansion of U in U 9.585 * [backup-simplify]: Simplify 0 into 0 9.585 * [backup-simplify]: Simplify 1 into 1 9.585 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 9.585 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 9.585 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 9.585 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 9.585 * [taylor]: Taking taylor expansion of 1/2 in U 9.585 * [backup-simplify]: Simplify 1/2 into 1/2 9.585 * [taylor]: Taking taylor expansion of K in U 9.585 * [backup-simplify]: Simplify K into K 9.585 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.585 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.585 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.585 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.585 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.588 * [backup-simplify]: Simplify (- 0) into 0 9.588 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.588 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.588 * [taylor]: Taking taylor expansion of J in U 9.588 * [backup-simplify]: Simplify J into J 9.589 * [backup-simplify]: Simplify (* 1 1) into 1 9.589 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 9.589 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.589 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 9.590 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 9.590 * [taylor]: Taking taylor expansion of 1 in U 9.590 * [backup-simplify]: Simplify 1 into 1 9.590 * [backup-simplify]: Simplify (+ 0 1) into 1 9.590 * [backup-simplify]: Simplify (sqrt 1) into 1 9.590 * [backup-simplify]: Simplify (+ 0 0) into 0 9.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.591 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 9.591 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 9.591 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 9.591 * [taylor]: Taking taylor expansion of 1/4 in U 9.591 * [backup-simplify]: Simplify 1/4 into 1/4 9.591 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 9.591 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.591 * [taylor]: Taking taylor expansion of U in U 9.591 * [backup-simplify]: Simplify 0 into 0 9.591 * [backup-simplify]: Simplify 1 into 1 9.591 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 9.591 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 9.591 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 9.591 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 9.591 * [taylor]: Taking taylor expansion of 1/2 in U 9.591 * [backup-simplify]: Simplify 1/2 into 1/2 9.591 * [taylor]: Taking taylor expansion of K in U 9.591 * [backup-simplify]: Simplify K into K 9.591 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.591 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.591 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.591 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.591 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.592 * [backup-simplify]: Simplify (- 0) into 0 9.592 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.592 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.592 * [taylor]: Taking taylor expansion of J in U 9.592 * [backup-simplify]: Simplify J into J 9.592 * [backup-simplify]: Simplify (* 1 1) into 1 9.592 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 9.592 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.592 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 9.592 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 9.593 * [taylor]: Taking taylor expansion of 1 in U 9.593 * [backup-simplify]: Simplify 1 into 1 9.593 * [backup-simplify]: Simplify (+ 0 1) into 1 9.593 * [backup-simplify]: Simplify (sqrt 1) into 1 9.593 * [backup-simplify]: Simplify (+ 0 0) into 0 9.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.594 * [taylor]: Taking taylor expansion of 1 in J 9.594 * [backup-simplify]: Simplify 1 into 1 9.594 * [taylor]: Taking taylor expansion of 0 in J 9.594 * [backup-simplify]: Simplify 0 into 0 9.594 * [taylor]: Taking taylor expansion of 1 in K 9.594 * [backup-simplify]: Simplify 1 into 1 9.594 * [backup-simplify]: Simplify 1 into 1 9.594 * [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))) 9.594 * [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)))) 9.595 * [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))) 9.595 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 9.595 * [taylor]: Taking taylor expansion of 1/8 in J 9.595 * [backup-simplify]: Simplify 1/8 into 1/8 9.595 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 9.595 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 9.595 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 9.595 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 9.595 * [taylor]: Taking taylor expansion of 1/2 in J 9.595 * [backup-simplify]: Simplify 1/2 into 1/2 9.595 * [taylor]: Taking taylor expansion of K in J 9.595 * [backup-simplify]: Simplify K into K 9.595 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.595 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.595 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.595 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.595 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.596 * [backup-simplify]: Simplify (- 0) into 0 9.596 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.596 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.596 * [taylor]: Taking taylor expansion of J in J 9.596 * [backup-simplify]: Simplify 0 into 0 9.596 * [backup-simplify]: Simplify 1 into 1 9.596 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 9.596 * [backup-simplify]: Simplify (* 1 1) into 1 9.596 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 9.596 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 9.597 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.597 * [backup-simplify]: Simplify (+ 0) into 0 9.597 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 9.598 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 9.598 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.598 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 9.599 * [backup-simplify]: Simplify (- 0) into 0 9.599 * [backup-simplify]: Simplify (+ 0 0) into 0 9.599 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 9.599 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 9.600 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 9.600 * [taylor]: Taking taylor expansion of 0 in K 9.600 * [backup-simplify]: Simplify 0 into 0 9.600 * [backup-simplify]: Simplify 0 into 0 9.600 * [taylor]: Taking taylor expansion of 0 in K 9.600 * [backup-simplify]: Simplify 0 into 0 9.600 * [backup-simplify]: Simplify 0 into 0 9.600 * [taylor]: Taking taylor expansion of 0 in K 9.600 * [backup-simplify]: Simplify 0 into 0 9.600 * [backup-simplify]: Simplify 0 into 0 9.600 * [backup-simplify]: Simplify 0 into 0 9.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.600 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.601 * [backup-simplify]: Simplify (+ 0) into 0 9.601 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 9.601 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 9.602 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.602 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 9.602 * [backup-simplify]: Simplify (- 0) into 0 9.602 * [backup-simplify]: Simplify (+ 0 0) into 0 9.602 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 9.603 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 9.603 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 9.603 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 9.604 * [backup-simplify]: Simplify (+ 0 0) into 0 9.604 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 9.604 * [taylor]: Taking taylor expansion of 0 in J 9.604 * [backup-simplify]: Simplify 0 into 0 9.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.605 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.606 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.606 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 9.607 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.607 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.607 * [backup-simplify]: Simplify (- 0) into 0 9.607 * [backup-simplify]: Simplify (+ 0 0) into 0 9.608 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 9.608 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 9.608 * [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 9.608 * [taylor]: Taking taylor expansion of 0 in K 9.608 * [backup-simplify]: Simplify 0 into 0 9.608 * [backup-simplify]: Simplify 0 into 0 9.609 * [taylor]: Taking taylor expansion of 0 in K 9.609 * [backup-simplify]: Simplify 0 into 0 9.609 * [backup-simplify]: Simplify 0 into 0 9.609 * [backup-simplify]: Simplify 1 into 1 9.609 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (+ (/ 1 J) (/ 1 J)) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (+ (/ 1 J) (/ 1 J)) (cos (/ (/ 1 K) 2))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 9.609 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0 9.609 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 9.609 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 9.609 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 9.609 * [taylor]: Taking taylor expansion of 1/4 in K 9.609 * [backup-simplify]: Simplify 1/4 into 1/4 9.609 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 9.609 * [taylor]: Taking taylor expansion of (pow J 2) in K 9.609 * [taylor]: Taking taylor expansion of J in K 9.609 * [backup-simplify]: Simplify J into J 9.609 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 9.609 * [taylor]: Taking taylor expansion of (pow U 2) in K 9.609 * [taylor]: Taking taylor expansion of U in K 9.609 * [backup-simplify]: Simplify U into U 9.609 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 9.609 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 9.609 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 9.609 * [taylor]: Taking taylor expansion of 1/2 in K 9.609 * [backup-simplify]: Simplify 1/2 into 1/2 9.609 * [taylor]: Taking taylor expansion of K in K 9.609 * [backup-simplify]: Simplify 0 into 0 9.609 * [backup-simplify]: Simplify 1 into 1 9.610 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.610 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.610 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.610 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.610 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.610 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 9.610 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 9.610 * [taylor]: Taking taylor expansion of 1 in K 9.610 * [backup-simplify]: Simplify 1 into 1 9.610 * [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)))) 9.611 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 9.611 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 9.611 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.611 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 9.611 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 9.611 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 9.611 * [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 9.612 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 9.612 * [backup-simplify]: Simplify (+ 0 0) into 0 9.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 9.612 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 9.612 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 9.612 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 9.613 * [taylor]: Taking taylor expansion of 1/4 in J 9.613 * [backup-simplify]: Simplify 1/4 into 1/4 9.613 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 9.613 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.613 * [taylor]: Taking taylor expansion of J in J 9.613 * [backup-simplify]: Simplify 0 into 0 9.613 * [backup-simplify]: Simplify 1 into 1 9.613 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 9.613 * [taylor]: Taking taylor expansion of (pow U 2) in J 9.613 * [taylor]: Taking taylor expansion of U in J 9.613 * [backup-simplify]: Simplify U into U 9.613 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 9.613 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 9.613 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 9.613 * [taylor]: Taking taylor expansion of 1/2 in J 9.613 * [backup-simplify]: Simplify 1/2 into 1/2 9.613 * [taylor]: Taking taylor expansion of K in J 9.613 * [backup-simplify]: Simplify K into K 9.613 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.613 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.613 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.613 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.613 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.613 * [backup-simplify]: Simplify (- 0) into 0 9.613 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.614 * [backup-simplify]: Simplify (* 1 1) into 1 9.614 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.614 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.614 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 9.614 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 9.614 * [taylor]: Taking taylor expansion of 1 in J 9.614 * [backup-simplify]: Simplify 1 into 1 9.614 * [backup-simplify]: Simplify (+ 0 1) into 1 9.615 * [backup-simplify]: Simplify (sqrt 1) into 1 9.615 * [backup-simplify]: Simplify (+ 0 0) into 0 9.615 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.615 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 9.615 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 9.615 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 9.615 * [taylor]: Taking taylor expansion of 1/4 in U 9.615 * [backup-simplify]: Simplify 1/4 into 1/4 9.615 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 9.615 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.615 * [taylor]: Taking taylor expansion of J in U 9.615 * [backup-simplify]: Simplify J into J 9.615 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 9.615 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.615 * [taylor]: Taking taylor expansion of U in U 9.615 * [backup-simplify]: Simplify 0 into 0 9.615 * [backup-simplify]: Simplify 1 into 1 9.615 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 9.615 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 9.615 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 9.616 * [taylor]: Taking taylor expansion of 1/2 in U 9.616 * [backup-simplify]: Simplify 1/2 into 1/2 9.616 * [taylor]: Taking taylor expansion of K in U 9.616 * [backup-simplify]: Simplify K into K 9.616 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.616 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.616 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.616 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.616 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.616 * [backup-simplify]: Simplify (- 0) into 0 9.616 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.616 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.616 * [backup-simplify]: Simplify (* 1 1) into 1 9.616 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.617 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 9.617 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 9.617 * [taylor]: Taking taylor expansion of 1 in U 9.617 * [backup-simplify]: Simplify 1 into 1 9.617 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 9.617 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 9.617 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 9.617 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.617 * [backup-simplify]: Simplify (+ 0) into 0 9.618 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.618 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.618 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.619 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.619 * [backup-simplify]: Simplify (- 0) into 0 9.619 * [backup-simplify]: Simplify (+ 0 0) into 0 9.619 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 9.620 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.620 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 9.620 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 9.621 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 9.621 * [backup-simplify]: Simplify (+ 0 0) into 0 9.621 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 9.621 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 9.621 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 9.621 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 9.621 * [taylor]: Taking taylor expansion of 1/4 in U 9.621 * [backup-simplify]: Simplify 1/4 into 1/4 9.621 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 9.621 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.621 * [taylor]: Taking taylor expansion of J in U 9.621 * [backup-simplify]: Simplify J into J 9.621 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 9.621 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.621 * [taylor]: Taking taylor expansion of U in U 9.621 * [backup-simplify]: Simplify 0 into 0 9.621 * [backup-simplify]: Simplify 1 into 1 9.621 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 9.621 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 9.621 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 9.621 * [taylor]: Taking taylor expansion of 1/2 in U 9.621 * [backup-simplify]: Simplify 1/2 into 1/2 9.621 * [taylor]: Taking taylor expansion of K in U 9.621 * [backup-simplify]: Simplify K into K 9.621 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.621 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.621 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.622 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.622 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.622 * [backup-simplify]: Simplify (- 0) into 0 9.622 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.622 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.623 * [backup-simplify]: Simplify (* 1 1) into 1 9.623 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.623 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 9.623 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 9.623 * [taylor]: Taking taylor expansion of 1 in U 9.623 * [backup-simplify]: Simplify 1 into 1 9.623 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 9.623 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 9.624 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 9.624 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.624 * [backup-simplify]: Simplify (+ 0) into 0 9.625 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.625 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.625 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.626 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.626 * [backup-simplify]: Simplify (- 0) into 0 9.627 * [backup-simplify]: Simplify (+ 0 0) into 0 9.627 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 9.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 9.628 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 9.629 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 9.629 * [backup-simplify]: Simplify (+ 0 0) into 0 9.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 9.629 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 9.629 * [taylor]: Taking taylor expansion of 1/2 in J 9.629 * [backup-simplify]: Simplify 1/2 into 1/2 9.630 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 9.630 * [taylor]: Taking taylor expansion of J in J 9.630 * [backup-simplify]: Simplify 0 into 0 9.630 * [backup-simplify]: Simplify 1 into 1 9.630 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 9.630 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 9.630 * [taylor]: Taking taylor expansion of 1/2 in J 9.630 * [backup-simplify]: Simplify 1/2 into 1/2 9.630 * [taylor]: Taking taylor expansion of K in J 9.630 * [backup-simplify]: Simplify K into K 9.630 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.630 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.630 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.630 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.630 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.630 * [backup-simplify]: Simplify (- 0) into 0 9.631 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.631 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 9.631 * [taylor]: Taking taylor expansion of 0 in J 9.631 * [backup-simplify]: Simplify 0 into 0 9.631 * [taylor]: Taking taylor expansion of 0 in K 9.631 * [backup-simplify]: Simplify 0 into 0 9.631 * [backup-simplify]: Simplify 0 into 0 9.631 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 9.631 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 9.631 * [taylor]: Taking taylor expansion of 1/2 in K 9.631 * [backup-simplify]: Simplify 1/2 into 1/2 9.631 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 9.631 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 9.631 * [taylor]: Taking taylor expansion of 1/2 in K 9.631 * [backup-simplify]: Simplify 1/2 into 1/2 9.631 * [taylor]: Taking taylor expansion of K in K 9.631 * [backup-simplify]: Simplify 0 into 0 9.631 * [backup-simplify]: Simplify 1 into 1 9.631 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.632 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.632 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 9.632 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 9.632 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 9.633 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.634 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.634 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.635 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.635 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.635 * [backup-simplify]: Simplify (- 0) into 0 9.636 * [backup-simplify]: Simplify (+ 0 0) into 0 9.636 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 9.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 9.638 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 9.639 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 9.640 * [backup-simplify]: Simplify (+ 0 1) into 1 9.641 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 9.641 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 9.641 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 9.641 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 9.641 * [taylor]: Taking taylor expansion of 1/2 in J 9.641 * [backup-simplify]: Simplify 1/2 into 1/2 9.641 * [taylor]: Taking taylor expansion of K in J 9.641 * [backup-simplify]: Simplify K into K 9.641 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.641 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.641 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.641 * [taylor]: Taking taylor expansion of J in J 9.641 * [backup-simplify]: Simplify 0 into 0 9.641 * [backup-simplify]: Simplify 1 into 1 9.641 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.641 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.642 * [backup-simplify]: Simplify (- 0) into 0 9.642 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.642 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.642 * [backup-simplify]: Simplify (+ 0) into 0 9.643 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.643 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.644 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.644 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.645 * [backup-simplify]: Simplify (- 0) into 0 9.645 * [backup-simplify]: Simplify (+ 0 0) into 0 9.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 9.646 * [taylor]: Taking taylor expansion of 0 in K 9.646 * [backup-simplify]: Simplify 0 into 0 9.646 * [backup-simplify]: Simplify 0 into 0 9.646 * [taylor]: Taking taylor expansion of 0 in K 9.646 * [backup-simplify]: Simplify 0 into 0 9.646 * [backup-simplify]: Simplify 0 into 0 9.647 * [backup-simplify]: Simplify (+ 0) into 0 9.647 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.647 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.648 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.648 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.649 * [backup-simplify]: Simplify (- 0) into 0 9.649 * [backup-simplify]: Simplify (+ 0 0) into 0 9.649 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 9.650 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 9.650 * [taylor]: Taking taylor expansion of 0 in K 9.650 * [backup-simplify]: Simplify 0 into 0 9.650 * [backup-simplify]: Simplify 0 into 0 9.650 * [backup-simplify]: Simplify 0 into 0 9.650 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 9.650 * [backup-simplify]: Simplify 0 into 0 9.651 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 9.652 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.653 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.653 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.655 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 9.655 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 9.656 * [backup-simplify]: Simplify (- 0) into 0 9.656 * [backup-simplify]: Simplify (+ 0 0) into 0 9.657 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 9.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 9.660 * [backup-simplify]: 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 9.661 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 9.662 * [backup-simplify]: Simplify (+ 0 0) into 0 9.662 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 9.662 * [taylor]: Taking taylor expansion of 0 in J 9.662 * [backup-simplify]: Simplify 0 into 0 9.662 * [taylor]: Taking taylor expansion of 0 in K 9.662 * [backup-simplify]: Simplify 0 into 0 9.662 * [backup-simplify]: Simplify 0 into 0 9.662 * [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))) 9.663 * [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)))))) 9.663 * [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 9.663 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 9.663 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 9.663 * [taylor]: Taking taylor expansion of 1 in K 9.663 * [backup-simplify]: Simplify 1 into 1 9.663 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 9.663 * [taylor]: Taking taylor expansion of 1/4 in K 9.663 * [backup-simplify]: Simplify 1/4 into 1/4 9.663 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 9.663 * [taylor]: Taking taylor expansion of (pow J 2) in K 9.663 * [taylor]: Taking taylor expansion of J in K 9.664 * [backup-simplify]: Simplify J into J 9.664 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 9.664 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 9.664 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 9.664 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 9.664 * [taylor]: Taking taylor expansion of -1/2 in K 9.664 * [backup-simplify]: Simplify -1/2 into -1/2 9.664 * [taylor]: Taking taylor expansion of K in K 9.664 * [backup-simplify]: Simplify 0 into 0 9.664 * [backup-simplify]: Simplify 1 into 1 9.664 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.664 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.664 * [taylor]: Taking taylor expansion of (pow U 2) in K 9.664 * [taylor]: Taking taylor expansion of U in K 9.664 * [backup-simplify]: Simplify U into U 9.665 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.665 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.665 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.665 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 9.665 * [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))) 9.665 * [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)))) 9.666 * [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))))) 9.666 * [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)))))) 9.666 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.666 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 9.666 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 9.667 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 9.667 * [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 9.668 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 9.668 * [backup-simplify]: Simplify (+ 0 0) into 0 9.669 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 9.669 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 9.669 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 9.669 * [taylor]: Taking taylor expansion of 1 in J 9.669 * [backup-simplify]: Simplify 1 into 1 9.669 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 9.669 * [taylor]: Taking taylor expansion of 1/4 in J 9.669 * [backup-simplify]: Simplify 1/4 into 1/4 9.669 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 9.669 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.669 * [taylor]: Taking taylor expansion of J in J 9.669 * [backup-simplify]: Simplify 0 into 0 9.669 * [backup-simplify]: Simplify 1 into 1 9.669 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 9.669 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 9.669 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 9.669 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 9.669 * [taylor]: Taking taylor expansion of -1/2 in J 9.669 * [backup-simplify]: Simplify -1/2 into -1/2 9.669 * [taylor]: Taking taylor expansion of K in J 9.669 * [backup-simplify]: Simplify K into K 9.670 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.670 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.670 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.670 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.670 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.670 * [backup-simplify]: Simplify (- 0) into 0 9.670 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.670 * [taylor]: Taking taylor expansion of (pow U 2) in J 9.670 * [taylor]: Taking taylor expansion of U in J 9.670 * [backup-simplify]: Simplify U into U 9.671 * [backup-simplify]: Simplify (* 1 1) into 1 9.671 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.671 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.671 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 9.671 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 9.672 * [backup-simplify]: Simplify (+ 1 0) into 1 9.672 * [backup-simplify]: Simplify (sqrt 1) into 1 9.673 * [backup-simplify]: Simplify (+ 0 0) into 0 9.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.673 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 9.674 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 9.674 * [taylor]: Taking taylor expansion of 1 in U 9.674 * [backup-simplify]: Simplify 1 into 1 9.674 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 9.674 * [taylor]: Taking taylor expansion of 1/4 in U 9.674 * [backup-simplify]: Simplify 1/4 into 1/4 9.674 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 9.674 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.674 * [taylor]: Taking taylor expansion of J in U 9.674 * [backup-simplify]: Simplify J into J 9.674 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 9.674 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 9.674 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 9.674 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 9.674 * [taylor]: Taking taylor expansion of -1/2 in U 9.674 * [backup-simplify]: Simplify -1/2 into -1/2 9.674 * [taylor]: Taking taylor expansion of K in U 9.674 * [backup-simplify]: Simplify K into K 9.674 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.674 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.674 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.674 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.675 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.675 * [backup-simplify]: Simplify (- 0) into 0 9.675 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.675 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.675 * [taylor]: Taking taylor expansion of U in U 9.675 * [backup-simplify]: Simplify 0 into 0 9.675 * [backup-simplify]: Simplify 1 into 1 9.675 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.675 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.676 * [backup-simplify]: Simplify (* 1 1) into 1 9.676 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 9.676 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 9.676 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 9.677 * [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))) 9.677 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 9.677 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.678 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.678 * [backup-simplify]: Simplify (+ 0) into 0 9.679 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 9.679 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 9.679 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.680 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 9.680 * [backup-simplify]: Simplify (- 0) into 0 9.681 * [backup-simplify]: Simplify (+ 0 0) into 0 9.681 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 9.681 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 9.682 * [backup-simplify]: 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 9.682 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 9.683 * [backup-simplify]: Simplify (+ 0 0) into 0 9.683 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 9.683 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 9.683 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 9.683 * [taylor]: Taking taylor expansion of 1 in U 9.683 * [backup-simplify]: Simplify 1 into 1 9.683 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 9.683 * [taylor]: Taking taylor expansion of 1/4 in U 9.683 * [backup-simplify]: Simplify 1/4 into 1/4 9.683 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 9.683 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.683 * [taylor]: Taking taylor expansion of J in U 9.683 * [backup-simplify]: Simplify J into J 9.683 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 9.683 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 9.683 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 9.683 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 9.683 * [taylor]: Taking taylor expansion of -1/2 in U 9.683 * [backup-simplify]: Simplify -1/2 into -1/2 9.684 * [taylor]: Taking taylor expansion of K in U 9.684 * [backup-simplify]: Simplify K into K 9.684 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.684 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.684 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.684 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.684 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.684 * [backup-simplify]: Simplify (- 0) into 0 9.684 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.684 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.685 * [taylor]: Taking taylor expansion of U in U 9.685 * [backup-simplify]: Simplify 0 into 0 9.685 * [backup-simplify]: Simplify 1 into 1 9.685 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.685 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.685 * [backup-simplify]: Simplify (* 1 1) into 1 9.685 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 9.685 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 9.686 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 9.686 * [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))) 9.686 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 9.686 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.687 * [backup-simplify]: Simplify (+ 0) into 0 9.688 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 9.688 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 9.689 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.689 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 9.689 * [backup-simplify]: Simplify (- 0) into 0 9.690 * [backup-simplify]: Simplify (+ 0 0) into 0 9.690 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 9.690 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 9.690 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 9.691 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 9.691 * [backup-simplify]: Simplify (+ 0 0) into 0 9.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 9.691 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 9.691 * [taylor]: Taking taylor expansion of 1/2 in J 9.691 * [backup-simplify]: Simplify 1/2 into 1/2 9.691 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 9.691 * [taylor]: Taking taylor expansion of J in J 9.691 * [backup-simplify]: Simplify 0 into 0 9.691 * [backup-simplify]: Simplify 1 into 1 9.691 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 9.691 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 9.691 * [taylor]: Taking taylor expansion of -1/2 in J 9.691 * [backup-simplify]: Simplify -1/2 into -1/2 9.691 * [taylor]: Taking taylor expansion of K in J 9.691 * [backup-simplify]: Simplify K into K 9.692 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.692 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.692 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.692 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.692 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.692 * [backup-simplify]: Simplify (- 0) into 0 9.692 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.692 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 9.692 * [taylor]: Taking taylor expansion of 0 in J 9.692 * [backup-simplify]: Simplify 0 into 0 9.692 * [taylor]: Taking taylor expansion of 0 in K 9.692 * [backup-simplify]: Simplify 0 into 0 9.692 * [backup-simplify]: Simplify 0 into 0 9.692 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 9.692 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 9.692 * [taylor]: Taking taylor expansion of 1/2 in K 9.692 * [backup-simplify]: Simplify 1/2 into 1/2 9.692 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 9.692 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 9.692 * [taylor]: Taking taylor expansion of -1/2 in K 9.692 * [backup-simplify]: Simplify -1/2 into -1/2 9.692 * [taylor]: Taking taylor expansion of K in K 9.692 * [backup-simplify]: Simplify 0 into 0 9.692 * [backup-simplify]: Simplify 1 into 1 9.693 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.693 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.693 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 9.693 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 9.693 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 9.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.694 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.695 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.695 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.695 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.696 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.696 * [backup-simplify]: Simplify (- 0) into 0 9.696 * [backup-simplify]: Simplify (+ 0 0) into 0 9.696 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 9.697 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 9.697 * [backup-simplify]: 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 9.698 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 9.698 * [backup-simplify]: Simplify (+ 1 0) into 1 9.699 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 9.699 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 9.699 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 9.699 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 9.699 * [taylor]: Taking taylor expansion of -1/2 in J 9.699 * [backup-simplify]: Simplify -1/2 into -1/2 9.699 * [taylor]: Taking taylor expansion of K in J 9.699 * [backup-simplify]: Simplify K into K 9.699 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.699 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.699 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.699 * [taylor]: Taking taylor expansion of J in J 9.699 * [backup-simplify]: Simplify 0 into 0 9.699 * [backup-simplify]: Simplify 1 into 1 9.699 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.699 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.699 * [backup-simplify]: Simplify (- 0) into 0 9.699 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.699 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.700 * [backup-simplify]: Simplify (+ 0) into 0 9.700 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 9.700 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 9.700 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.701 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 9.701 * [backup-simplify]: Simplify (- 0) into 0 9.701 * [backup-simplify]: Simplify (+ 0 0) into 0 9.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 9.702 * [taylor]: Taking taylor expansion of 0 in K 9.702 * [backup-simplify]: Simplify 0 into 0 9.702 * [backup-simplify]: Simplify 0 into 0 9.702 * [taylor]: Taking taylor expansion of 0 in K 9.702 * [backup-simplify]: Simplify 0 into 0 9.702 * [backup-simplify]: Simplify 0 into 0 9.702 * [backup-simplify]: Simplify (+ 0) into 0 9.702 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 9.703 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 9.703 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.703 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 9.703 * [backup-simplify]: Simplify (- 0) into 0 9.704 * [backup-simplify]: Simplify (+ 0 0) into 0 9.704 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 9.704 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 9.704 * [taylor]: Taking taylor expansion of 0 in K 9.704 * [backup-simplify]: Simplify 0 into 0 9.704 * [backup-simplify]: Simplify 0 into 0 9.704 * [backup-simplify]: Simplify 0 into 0 9.704 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 9.704 * [backup-simplify]: Simplify 0 into 0 9.705 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 9.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.709 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.710 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.710 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.711 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 9.711 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 9.711 * [backup-simplify]: Simplify (- 0) into 0 9.711 * [backup-simplify]: Simplify (+ 0 0) into 0 9.712 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 9.713 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.713 * [backup-simplify]: 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 9.714 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 9.714 * [backup-simplify]: Simplify (+ 0 0) into 0 9.714 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 9.714 * [taylor]: Taking taylor expansion of 0 in J 9.714 * [backup-simplify]: Simplify 0 into 0 9.714 * [taylor]: Taking taylor expansion of 0 in K 9.714 * [backup-simplify]: Simplify 0 into 0 9.714 * [backup-simplify]: Simplify 0 into 0 9.715 * [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))) 9.715 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 9.715 * [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)) 9.715 * [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 9.715 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 9.715 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 9.715 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 9.715 * [taylor]: Taking taylor expansion of 1/4 in K 9.715 * [backup-simplify]: Simplify 1/4 into 1/4 9.715 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 9.715 * [taylor]: Taking taylor expansion of (pow U 2) in K 9.715 * [taylor]: Taking taylor expansion of U in K 9.715 * [backup-simplify]: Simplify U into U 9.715 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 9.715 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 9.715 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 9.715 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 9.715 * [taylor]: Taking taylor expansion of 1/2 in K 9.715 * [backup-simplify]: Simplify 1/2 into 1/2 9.715 * [taylor]: Taking taylor expansion of K in K 9.715 * [backup-simplify]: Simplify 0 into 0 9.715 * [backup-simplify]: Simplify 1 into 1 9.716 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.716 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.716 * [taylor]: Taking taylor expansion of (pow J 2) in K 9.716 * [taylor]: Taking taylor expansion of J in K 9.716 * [backup-simplify]: Simplify J into J 9.716 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.716 * [backup-simplify]: Simplify (* 1 1) into 1 9.717 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.717 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 9.717 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 9.717 * [taylor]: Taking taylor expansion of 1 in K 9.717 * [backup-simplify]: Simplify 1 into 1 9.717 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 9.717 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 9.717 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 9.717 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 9.717 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.717 * [backup-simplify]: Simplify (+ 0) into 0 9.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.719 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 9.719 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 9.720 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 9.720 * [backup-simplify]: Simplify (+ 0 0) into 0 9.720 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 9.720 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 9.720 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 9.720 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 9.720 * [taylor]: Taking taylor expansion of 1/4 in J 9.720 * [backup-simplify]: Simplify 1/4 into 1/4 9.720 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 9.720 * [taylor]: Taking taylor expansion of (pow U 2) in J 9.721 * [taylor]: Taking taylor expansion of U in J 9.721 * [backup-simplify]: Simplify U into U 9.721 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 9.721 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 9.721 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 9.721 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 9.721 * [taylor]: Taking taylor expansion of 1/2 in J 9.721 * [backup-simplify]: Simplify 1/2 into 1/2 9.721 * [taylor]: Taking taylor expansion of K in J 9.721 * [backup-simplify]: Simplify K into K 9.721 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.721 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.721 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.721 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.721 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.722 * [backup-simplify]: Simplify (- 0) into 0 9.722 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.722 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.722 * [taylor]: Taking taylor expansion of J in J 9.722 * [backup-simplify]: Simplify 0 into 0 9.722 * [backup-simplify]: Simplify 1 into 1 9.722 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.722 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 9.722 * [backup-simplify]: Simplify (* 1 1) into 1 9.723 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 9.723 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 9.723 * [taylor]: Taking taylor expansion of 1 in J 9.723 * [backup-simplify]: Simplify 1 into 1 9.723 * [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))) 9.723 * [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))) 9.723 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 9.724 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 9.724 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.725 * [backup-simplify]: Simplify (+ 0) into 0 9.725 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 9.726 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 9.727 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.727 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 9.727 * [backup-simplify]: Simplify (- 0) into 0 9.728 * [backup-simplify]: Simplify (+ 0 0) into 0 9.728 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 9.728 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 9.729 * [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 9.730 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 9.730 * [backup-simplify]: Simplify (+ 0 0) into 0 9.730 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 9.730 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 9.730 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 9.730 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 9.730 * [taylor]: Taking taylor expansion of 1/4 in U 9.730 * [backup-simplify]: Simplify 1/4 into 1/4 9.730 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 9.730 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.730 * [taylor]: Taking taylor expansion of U in U 9.731 * [backup-simplify]: Simplify 0 into 0 9.731 * [backup-simplify]: Simplify 1 into 1 9.731 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 9.731 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 9.731 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 9.731 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 9.731 * [taylor]: Taking taylor expansion of 1/2 in U 9.731 * [backup-simplify]: Simplify 1/2 into 1/2 9.731 * [taylor]: Taking taylor expansion of K in U 9.731 * [backup-simplify]: Simplify K into K 9.731 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.731 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.731 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.731 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.731 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.732 * [backup-simplify]: Simplify (- 0) into 0 9.732 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.732 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.732 * [taylor]: Taking taylor expansion of J in U 9.732 * [backup-simplify]: Simplify J into J 9.732 * [backup-simplify]: Simplify (* 1 1) into 1 9.732 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 9.732 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.733 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 9.733 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 9.733 * [taylor]: Taking taylor expansion of 1 in U 9.733 * [backup-simplify]: Simplify 1 into 1 9.733 * [backup-simplify]: Simplify (+ 0 1) into 1 9.734 * [backup-simplify]: Simplify (sqrt 1) into 1 9.734 * [backup-simplify]: Simplify (+ 0 0) into 0 9.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.735 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 9.735 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 9.735 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 9.735 * [taylor]: Taking taylor expansion of 1/4 in U 9.735 * [backup-simplify]: Simplify 1/4 into 1/4 9.735 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 9.735 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.735 * [taylor]: Taking taylor expansion of U in U 9.735 * [backup-simplify]: Simplify 0 into 0 9.735 * [backup-simplify]: Simplify 1 into 1 9.735 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 9.735 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 9.735 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 9.735 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 9.735 * [taylor]: Taking taylor expansion of 1/2 in U 9.735 * [backup-simplify]: Simplify 1/2 into 1/2 9.735 * [taylor]: Taking taylor expansion of K in U 9.735 * [backup-simplify]: Simplify K into K 9.735 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.735 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.736 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.736 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.736 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.736 * [backup-simplify]: Simplify (- 0) into 0 9.736 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.736 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.736 * [taylor]: Taking taylor expansion of J in U 9.736 * [backup-simplify]: Simplify J into J 9.737 * [backup-simplify]: Simplify (* 1 1) into 1 9.737 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 9.737 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.737 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 9.737 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 9.737 * [taylor]: Taking taylor expansion of 1 in U 9.737 * [backup-simplify]: Simplify 1 into 1 9.738 * [backup-simplify]: Simplify (+ 0 1) into 1 9.738 * [backup-simplify]: Simplify (sqrt 1) into 1 9.739 * [backup-simplify]: Simplify (+ 0 0) into 0 9.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.739 * [taylor]: Taking taylor expansion of 1 in J 9.740 * [backup-simplify]: Simplify 1 into 1 9.740 * [taylor]: Taking taylor expansion of 0 in J 9.740 * [backup-simplify]: Simplify 0 into 0 9.740 * [taylor]: Taking taylor expansion of 1 in K 9.740 * [backup-simplify]: Simplify 1 into 1 9.740 * [backup-simplify]: Simplify 1 into 1 9.740 * [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))) 9.741 * [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)))) 9.742 * [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))) 9.742 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 9.742 * [taylor]: Taking taylor expansion of 1/8 in J 9.742 * [backup-simplify]: Simplify 1/8 into 1/8 9.742 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 9.742 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 9.742 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 9.742 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 9.742 * [taylor]: Taking taylor expansion of 1/2 in J 9.742 * [backup-simplify]: Simplify 1/2 into 1/2 9.742 * [taylor]: Taking taylor expansion of K in J 9.742 * [backup-simplify]: Simplify K into K 9.742 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.742 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.742 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.742 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.742 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.742 * [backup-simplify]: Simplify (- 0) into 0 9.743 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.743 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.743 * [taylor]: Taking taylor expansion of J in J 9.743 * [backup-simplify]: Simplify 0 into 0 9.743 * [backup-simplify]: Simplify 1 into 1 9.743 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 9.743 * [backup-simplify]: Simplify (* 1 1) into 1 9.743 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 9.743 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 9.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.744 * [backup-simplify]: Simplify (+ 0) into 0 9.744 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 9.744 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 9.745 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.745 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 9.745 * [backup-simplify]: Simplify (- 0) into 0 9.746 * [backup-simplify]: Simplify (+ 0 0) into 0 9.746 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 9.746 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 9.746 * [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 9.746 * [taylor]: Taking taylor expansion of 0 in K 9.746 * [backup-simplify]: Simplify 0 into 0 9.746 * [backup-simplify]: Simplify 0 into 0 9.746 * [taylor]: Taking taylor expansion of 0 in K 9.746 * [backup-simplify]: Simplify 0 into 0 9.746 * [backup-simplify]: Simplify 0 into 0 9.746 * [taylor]: Taking taylor expansion of 0 in K 9.746 * [backup-simplify]: Simplify 0 into 0 9.746 * [backup-simplify]: Simplify 0 into 0 9.746 * [backup-simplify]: Simplify 0 into 0 9.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.747 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.747 * [backup-simplify]: Simplify (+ 0) into 0 9.747 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 9.748 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 9.748 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.748 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 9.749 * [backup-simplify]: Simplify (- 0) into 0 9.749 * [backup-simplify]: Simplify (+ 0 0) into 0 9.749 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 9.749 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 9.749 * [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 9.750 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 9.750 * [backup-simplify]: Simplify (+ 0 0) into 0 9.750 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 9.751 * [taylor]: Taking taylor expansion of 0 in J 9.751 * [backup-simplify]: Simplify 0 into 0 9.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.752 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.752 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.753 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 9.753 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.753 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.754 * [backup-simplify]: Simplify (- 0) into 0 9.754 * [backup-simplify]: Simplify (+ 0 0) into 0 9.754 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 9.755 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 9.755 * [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 9.755 * [taylor]: Taking taylor expansion of 0 in K 9.755 * [backup-simplify]: Simplify 0 into 0 9.755 * [backup-simplify]: Simplify 0 into 0 9.755 * [taylor]: Taking taylor expansion of 0 in K 9.755 * [backup-simplify]: Simplify 0 into 0 9.755 * [backup-simplify]: Simplify 0 into 0 9.755 * [backup-simplify]: Simplify 1 into 1 9.756 * [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)) 9.756 * [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 9.756 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 9.756 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 9.756 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 9.756 * [taylor]: Taking taylor expansion of 1/4 in K 9.756 * [backup-simplify]: Simplify 1/4 into 1/4 9.756 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 9.756 * [taylor]: Taking taylor expansion of (pow J 2) in K 9.756 * [taylor]: Taking taylor expansion of J in K 9.756 * [backup-simplify]: Simplify J into J 9.756 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 9.756 * [taylor]: Taking taylor expansion of (pow U 2) in K 9.756 * [taylor]: Taking taylor expansion of U in K 9.756 * [backup-simplify]: Simplify U into U 9.756 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 9.756 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 9.756 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 9.756 * [taylor]: Taking taylor expansion of 1/2 in K 9.756 * [backup-simplify]: Simplify 1/2 into 1/2 9.756 * [taylor]: Taking taylor expansion of K in K 9.756 * [backup-simplify]: Simplify 0 into 0 9.756 * [backup-simplify]: Simplify 1 into 1 9.756 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.756 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.756 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.756 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.756 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.757 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 9.757 * [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))) 9.757 * [taylor]: Taking taylor expansion of 1 in K 9.757 * [backup-simplify]: Simplify 1 into 1 9.757 * [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)))) 9.757 * [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) 9.757 * [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)) 9.757 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.757 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 9.757 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 9.758 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 9.758 * [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 9.758 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 9.759 * [backup-simplify]: Simplify (+ 0 0) into 0 9.759 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 9.759 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 9.759 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 9.759 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 9.759 * [taylor]: Taking taylor expansion of 1/4 in J 9.759 * [backup-simplify]: Simplify 1/4 into 1/4 9.759 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 9.759 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.759 * [taylor]: Taking taylor expansion of J in J 9.759 * [backup-simplify]: Simplify 0 into 0 9.759 * [backup-simplify]: Simplify 1 into 1 9.759 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 9.759 * [taylor]: Taking taylor expansion of (pow U 2) in J 9.759 * [taylor]: Taking taylor expansion of U in J 9.759 * [backup-simplify]: Simplify U into U 9.759 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 9.759 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 9.759 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 9.759 * [taylor]: Taking taylor expansion of 1/2 in J 9.759 * [backup-simplify]: Simplify 1/2 into 1/2 9.759 * [taylor]: Taking taylor expansion of K in J 9.759 * [backup-simplify]: Simplify K into K 9.759 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.759 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.759 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.759 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.759 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.760 * [backup-simplify]: Simplify (- 0) into 0 9.760 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.760 * [backup-simplify]: Simplify (* 1 1) into 1 9.760 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.760 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.760 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 9.760 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 9.760 * [taylor]: Taking taylor expansion of 1 in J 9.760 * [backup-simplify]: Simplify 1 into 1 9.761 * [backup-simplify]: Simplify (+ 0 1) into 1 9.761 * [backup-simplify]: Simplify (sqrt 1) into 1 9.761 * [backup-simplify]: Simplify (+ 0 0) into 0 9.762 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.762 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 9.762 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 9.762 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 9.762 * [taylor]: Taking taylor expansion of 1/4 in U 9.762 * [backup-simplify]: Simplify 1/4 into 1/4 9.762 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 9.762 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.762 * [taylor]: Taking taylor expansion of J in U 9.762 * [backup-simplify]: Simplify J into J 9.762 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 9.762 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.762 * [taylor]: Taking taylor expansion of U in U 9.762 * [backup-simplify]: Simplify 0 into 0 9.762 * [backup-simplify]: Simplify 1 into 1 9.762 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 9.762 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 9.762 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 9.762 * [taylor]: Taking taylor expansion of 1/2 in U 9.762 * [backup-simplify]: Simplify 1/2 into 1/2 9.762 * [taylor]: Taking taylor expansion of K in U 9.762 * [backup-simplify]: Simplify K into K 9.762 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.762 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.762 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.762 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.762 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.762 * [backup-simplify]: Simplify (- 0) into 0 9.762 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.762 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.763 * [backup-simplify]: Simplify (* 1 1) into 1 9.763 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.763 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 9.763 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 9.763 * [taylor]: Taking taylor expansion of 1 in U 9.763 * [backup-simplify]: Simplify 1 into 1 9.763 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 9.763 * [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))) 9.763 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 9.763 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.764 * [backup-simplify]: Simplify (+ 0) into 0 9.764 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.764 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.765 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.765 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.765 * [backup-simplify]: Simplify (- 0) into 0 9.765 * [backup-simplify]: Simplify (+ 0 0) into 0 9.765 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 9.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 9.766 * [backup-simplify]: 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 9.767 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 9.767 * [backup-simplify]: Simplify (+ 0 0) into 0 9.767 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 9.767 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 9.767 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 9.767 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 9.767 * [taylor]: Taking taylor expansion of 1/4 in U 9.767 * [backup-simplify]: Simplify 1/4 into 1/4 9.767 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 9.767 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.767 * [taylor]: Taking taylor expansion of J in U 9.767 * [backup-simplify]: Simplify J into J 9.767 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 9.767 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.767 * [taylor]: Taking taylor expansion of U in U 9.767 * [backup-simplify]: Simplify 0 into 0 9.767 * [backup-simplify]: Simplify 1 into 1 9.767 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 9.767 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 9.767 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 9.767 * [taylor]: Taking taylor expansion of 1/2 in U 9.767 * [backup-simplify]: Simplify 1/2 into 1/2 9.767 * [taylor]: Taking taylor expansion of K in U 9.767 * [backup-simplify]: Simplify K into K 9.768 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.768 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.768 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.768 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.768 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.768 * [backup-simplify]: Simplify (- 0) into 0 9.768 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.768 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.768 * [backup-simplify]: Simplify (* 1 1) into 1 9.768 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.768 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 9.769 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 9.769 * [taylor]: Taking taylor expansion of 1 in U 9.769 * [backup-simplify]: Simplify 1 into 1 9.769 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 9.769 * [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))) 9.769 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 9.769 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.769 * [backup-simplify]: Simplify (+ 0) into 0 9.770 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.770 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.771 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.771 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.771 * [backup-simplify]: Simplify (- 0) into 0 9.772 * [backup-simplify]: Simplify (+ 0 0) into 0 9.772 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 9.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 9.773 * [backup-simplify]: 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 9.774 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 9.774 * [backup-simplify]: Simplify (+ 0 0) into 0 9.775 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 9.775 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 9.775 * [taylor]: Taking taylor expansion of 1/2 in J 9.775 * [backup-simplify]: Simplify 1/2 into 1/2 9.775 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 9.775 * [taylor]: Taking taylor expansion of J in J 9.775 * [backup-simplify]: Simplify 0 into 0 9.775 * [backup-simplify]: Simplify 1 into 1 9.775 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 9.775 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 9.775 * [taylor]: Taking taylor expansion of 1/2 in J 9.775 * [backup-simplify]: Simplify 1/2 into 1/2 9.775 * [taylor]: Taking taylor expansion of K in J 9.775 * [backup-simplify]: Simplify K into K 9.775 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.775 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.775 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.775 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.775 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.776 * [backup-simplify]: Simplify (- 0) into 0 9.776 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.776 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 9.776 * [taylor]: Taking taylor expansion of 0 in J 9.776 * [backup-simplify]: Simplify 0 into 0 9.776 * [taylor]: Taking taylor expansion of 0 in K 9.776 * [backup-simplify]: Simplify 0 into 0 9.776 * [backup-simplify]: Simplify 0 into 0 9.776 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 9.776 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 9.776 * [taylor]: Taking taylor expansion of 1/2 in K 9.776 * [backup-simplify]: Simplify 1/2 into 1/2 9.776 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 9.776 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 9.776 * [taylor]: Taking taylor expansion of 1/2 in K 9.776 * [backup-simplify]: Simplify 1/2 into 1/2 9.776 * [taylor]: Taking taylor expansion of K in K 9.776 * [backup-simplify]: Simplify 0 into 0 9.776 * [backup-simplify]: Simplify 1 into 1 9.777 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.777 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.777 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 9.777 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 9.778 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 9.778 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.779 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.779 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.780 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.781 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.781 * [backup-simplify]: Simplify (- 0) into 0 9.781 * [backup-simplify]: Simplify (+ 0 0) into 0 9.782 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 9.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 9.784 * [backup-simplify]: 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 9.785 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 9.785 * [backup-simplify]: Simplify (+ 0 1) into 1 9.786 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 9.786 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 9.786 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 9.786 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 9.786 * [taylor]: Taking taylor expansion of 1/2 in J 9.786 * [backup-simplify]: Simplify 1/2 into 1/2 9.786 * [taylor]: Taking taylor expansion of K in J 9.786 * [backup-simplify]: Simplify K into K 9.786 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.786 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.786 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.786 * [taylor]: Taking taylor expansion of J in J 9.786 * [backup-simplify]: Simplify 0 into 0 9.787 * [backup-simplify]: Simplify 1 into 1 9.787 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.787 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.787 * [backup-simplify]: Simplify (- 0) into 0 9.787 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.787 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.788 * [backup-simplify]: Simplify (+ 0) into 0 9.788 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.788 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.789 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.790 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.790 * [backup-simplify]: Simplify (- 0) into 0 9.791 * [backup-simplify]: Simplify (+ 0 0) into 0 9.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 9.792 * [taylor]: Taking taylor expansion of 0 in K 9.792 * [backup-simplify]: Simplify 0 into 0 9.792 * [backup-simplify]: Simplify 0 into 0 9.792 * [taylor]: Taking taylor expansion of 0 in K 9.792 * [backup-simplify]: Simplify 0 into 0 9.792 * [backup-simplify]: Simplify 0 into 0 9.792 * [backup-simplify]: Simplify (+ 0) into 0 9.793 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.793 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.794 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.794 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.794 * [backup-simplify]: Simplify (- 0) into 0 9.795 * [backup-simplify]: Simplify (+ 0 0) into 0 9.795 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 9.795 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 9.796 * [taylor]: Taking taylor expansion of 0 in K 9.796 * [backup-simplify]: Simplify 0 into 0 9.796 * [backup-simplify]: Simplify 0 into 0 9.796 * [backup-simplify]: Simplify 0 into 0 9.796 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 9.796 * [backup-simplify]: Simplify 0 into 0 9.797 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 9.798 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.800 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.800 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.801 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 9.802 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 9.802 * [backup-simplify]: Simplify (- 0) into 0 9.803 * [backup-simplify]: Simplify (+ 0 0) into 0 9.804 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 9.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 9.806 * [backup-simplify]: 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 9.807 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 9.808 * [backup-simplify]: Simplify (+ 0 0) into 0 9.808 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 9.808 * [taylor]: Taking taylor expansion of 0 in J 9.808 * [backup-simplify]: Simplify 0 into 0 9.808 * [taylor]: Taking taylor expansion of 0 in K 9.808 * [backup-simplify]: Simplify 0 into 0 9.808 * [backup-simplify]: Simplify 0 into 0 9.808 * [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))) 9.809 * [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)))))) 9.809 * [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 9.809 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 9.809 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 9.809 * [taylor]: Taking taylor expansion of 1 in K 9.809 * [backup-simplify]: Simplify 1 into 1 9.809 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 9.809 * [taylor]: Taking taylor expansion of 1/4 in K 9.809 * [backup-simplify]: Simplify 1/4 into 1/4 9.809 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 9.809 * [taylor]: Taking taylor expansion of (pow J 2) in K 9.809 * [taylor]: Taking taylor expansion of J in K 9.809 * [backup-simplify]: Simplify J into J 9.809 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 9.809 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 9.809 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 9.810 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 9.810 * [taylor]: Taking taylor expansion of -1/2 in K 9.810 * [backup-simplify]: Simplify -1/2 into -1/2 9.810 * [taylor]: Taking taylor expansion of K in K 9.810 * [backup-simplify]: Simplify 0 into 0 9.810 * [backup-simplify]: Simplify 1 into 1 9.810 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.810 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.810 * [taylor]: Taking taylor expansion of (pow U 2) in K 9.810 * [taylor]: Taking taylor expansion of U in K 9.810 * [backup-simplify]: Simplify U into U 9.810 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.810 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.810 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.811 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 9.811 * [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))) 9.811 * [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)))) 9.811 * [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))))) 9.812 * [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)))))) 9.812 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.812 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 9.812 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 9.812 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 9.813 * [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 9.814 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 9.814 * [backup-simplify]: Simplify (+ 0 0) into 0 9.814 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 9.814 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 9.814 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 9.814 * [taylor]: Taking taylor expansion of 1 in J 9.814 * [backup-simplify]: Simplify 1 into 1 9.814 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 9.814 * [taylor]: Taking taylor expansion of 1/4 in J 9.814 * [backup-simplify]: Simplify 1/4 into 1/4 9.815 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 9.815 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.815 * [taylor]: Taking taylor expansion of J in J 9.815 * [backup-simplify]: Simplify 0 into 0 9.815 * [backup-simplify]: Simplify 1 into 1 9.815 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 9.815 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 9.815 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 9.815 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 9.815 * [taylor]: Taking taylor expansion of -1/2 in J 9.815 * [backup-simplify]: Simplify -1/2 into -1/2 9.815 * [taylor]: Taking taylor expansion of K in J 9.815 * [backup-simplify]: Simplify K into K 9.815 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.815 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.815 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.815 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.815 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.815 * [backup-simplify]: Simplify (- 0) into 0 9.816 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.816 * [taylor]: Taking taylor expansion of (pow U 2) in J 9.816 * [taylor]: Taking taylor expansion of U in J 9.816 * [backup-simplify]: Simplify U into U 9.816 * [backup-simplify]: Simplify (* 1 1) into 1 9.816 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.816 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.816 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 9.817 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 9.817 * [backup-simplify]: Simplify (+ 1 0) into 1 9.817 * [backup-simplify]: Simplify (sqrt 1) into 1 9.818 * [backup-simplify]: Simplify (+ 0 0) into 0 9.818 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.818 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 9.818 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 9.818 * [taylor]: Taking taylor expansion of 1 in U 9.818 * [backup-simplify]: Simplify 1 into 1 9.818 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 9.818 * [taylor]: Taking taylor expansion of 1/4 in U 9.818 * [backup-simplify]: Simplify 1/4 into 1/4 9.818 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 9.818 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.818 * [taylor]: Taking taylor expansion of J in U 9.819 * [backup-simplify]: Simplify J into J 9.819 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 9.819 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 9.819 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 9.819 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 9.819 * [taylor]: Taking taylor expansion of -1/2 in U 9.819 * [backup-simplify]: Simplify -1/2 into -1/2 9.819 * [taylor]: Taking taylor expansion of K in U 9.819 * [backup-simplify]: Simplify K into K 9.819 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.819 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.819 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.819 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.819 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.819 * [backup-simplify]: Simplify (- 0) into 0 9.819 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.819 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.820 * [taylor]: Taking taylor expansion of U in U 9.820 * [backup-simplify]: Simplify 0 into 0 9.820 * [backup-simplify]: Simplify 1 into 1 9.820 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.820 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.820 * [backup-simplify]: Simplify (* 1 1) into 1 9.820 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 9.820 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 9.821 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 9.821 * [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))) 9.821 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 9.821 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.822 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.822 * [backup-simplify]: Simplify (+ 0) into 0 9.823 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 9.823 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 9.824 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.824 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 9.824 * [backup-simplify]: Simplify (- 0) into 0 9.825 * [backup-simplify]: Simplify (+ 0 0) into 0 9.825 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 9.825 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 9.826 * [backup-simplify]: 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 9.826 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 9.827 * [backup-simplify]: Simplify (+ 0 0) into 0 9.827 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 9.827 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 9.827 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 9.827 * [taylor]: Taking taylor expansion of 1 in U 9.827 * [backup-simplify]: Simplify 1 into 1 9.827 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 9.827 * [taylor]: Taking taylor expansion of 1/4 in U 9.827 * [backup-simplify]: Simplify 1/4 into 1/4 9.827 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 9.827 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.827 * [taylor]: Taking taylor expansion of J in U 9.827 * [backup-simplify]: Simplify J into J 9.827 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 9.827 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 9.827 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 9.827 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 9.827 * [taylor]: Taking taylor expansion of -1/2 in U 9.827 * [backup-simplify]: Simplify -1/2 into -1/2 9.827 * [taylor]: Taking taylor expansion of K in U 9.827 * [backup-simplify]: Simplify K into K 9.827 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.828 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.828 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.828 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.828 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.828 * [backup-simplify]: Simplify (- 0) into 0 9.828 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.828 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.828 * [taylor]: Taking taylor expansion of U in U 9.828 * [backup-simplify]: Simplify 0 into 0 9.828 * [backup-simplify]: Simplify 1 into 1 9.828 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.829 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.829 * [backup-simplify]: Simplify (* 1 1) into 1 9.829 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 9.829 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 9.829 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 9.830 * [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))) 9.830 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 9.830 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.831 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.831 * [backup-simplify]: Simplify (+ 0) into 0 9.831 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 9.832 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 9.836 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.837 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 9.837 * [backup-simplify]: Simplify (- 0) into 0 9.837 * [backup-simplify]: Simplify (+ 0 0) into 0 9.838 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 9.838 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 9.839 * [backup-simplify]: 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 9.839 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 9.839 * [backup-simplify]: Simplify (+ 0 0) into 0 9.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 9.840 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 9.840 * [taylor]: Taking taylor expansion of 1/2 in J 9.840 * [backup-simplify]: Simplify 1/2 into 1/2 9.840 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 9.840 * [taylor]: Taking taylor expansion of J in J 9.840 * [backup-simplify]: Simplify 0 into 0 9.840 * [backup-simplify]: Simplify 1 into 1 9.840 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 9.840 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 9.840 * [taylor]: Taking taylor expansion of -1/2 in J 9.840 * [backup-simplify]: Simplify -1/2 into -1/2 9.840 * [taylor]: Taking taylor expansion of K in J 9.840 * [backup-simplify]: Simplify K into K 9.840 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.840 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.840 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.840 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.840 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.841 * [backup-simplify]: Simplify (- 0) into 0 9.841 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.841 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 9.841 * [taylor]: Taking taylor expansion of 0 in J 9.841 * [backup-simplify]: Simplify 0 into 0 9.841 * [taylor]: Taking taylor expansion of 0 in K 9.841 * [backup-simplify]: Simplify 0 into 0 9.841 * [backup-simplify]: Simplify 0 into 0 9.842 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 9.842 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 9.842 * [taylor]: Taking taylor expansion of 1/2 in K 9.842 * [backup-simplify]: Simplify 1/2 into 1/2 9.842 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 9.842 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 9.842 * [taylor]: Taking taylor expansion of -1/2 in K 9.842 * [backup-simplify]: Simplify -1/2 into -1/2 9.842 * [taylor]: Taking taylor expansion of K in K 9.842 * [backup-simplify]: Simplify 0 into 0 9.842 * [backup-simplify]: Simplify 1 into 1 9.842 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.842 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.842 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 9.842 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 9.843 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 9.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.845 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.845 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.845 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.846 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.847 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.847 * [backup-simplify]: Simplify (- 0) into 0 9.847 * [backup-simplify]: Simplify (+ 0 0) into 0 9.848 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 9.848 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 9.849 * [backup-simplify]: 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 9.850 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 9.850 * [backup-simplify]: Simplify (+ 1 0) into 1 9.851 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 9.851 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 9.851 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 9.851 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 9.851 * [taylor]: Taking taylor expansion of -1/2 in J 9.851 * [backup-simplify]: Simplify -1/2 into -1/2 9.851 * [taylor]: Taking taylor expansion of K in J 9.851 * [backup-simplify]: Simplify K into K 9.851 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.851 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.851 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.851 * [taylor]: Taking taylor expansion of J in J 9.851 * [backup-simplify]: Simplify 0 into 0 9.851 * [backup-simplify]: Simplify 1 into 1 9.852 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.852 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.852 * [backup-simplify]: Simplify (- 0) into 0 9.852 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.852 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.852 * [backup-simplify]: Simplify (+ 0) into 0 9.853 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 9.853 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 9.854 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.854 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 9.855 * [backup-simplify]: Simplify (- 0) into 0 9.855 * [backup-simplify]: Simplify (+ 0 0) into 0 9.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 9.856 * [taylor]: Taking taylor expansion of 0 in K 9.856 * [backup-simplify]: Simplify 0 into 0 9.856 * [backup-simplify]: Simplify 0 into 0 9.856 * [taylor]: Taking taylor expansion of 0 in K 9.856 * [backup-simplify]: Simplify 0 into 0 9.856 * [backup-simplify]: Simplify 0 into 0 9.856 * [backup-simplify]: Simplify (+ 0) into 0 9.857 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 9.857 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 9.858 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.858 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 9.859 * [backup-simplify]: Simplify (- 0) into 0 9.859 * [backup-simplify]: Simplify (+ 0 0) into 0 9.859 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 9.860 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 9.860 * [taylor]: Taking taylor expansion of 0 in K 9.860 * [backup-simplify]: Simplify 0 into 0 9.860 * [backup-simplify]: Simplify 0 into 0 9.860 * [backup-simplify]: Simplify 0 into 0 9.860 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 9.860 * [backup-simplify]: Simplify 0 into 0 9.861 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 9.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.863 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.864 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.864 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.865 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 9.866 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 9.866 * [backup-simplify]: Simplify (- 0) into 0 9.867 * [backup-simplify]: Simplify (+ 0 0) into 0 9.868 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 9.868 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.869 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 9.870 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 9.871 * [backup-simplify]: Simplify (+ 0 0) into 0 9.871 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 9.871 * [taylor]: Taking taylor expansion of 0 in J 9.871 * [backup-simplify]: Simplify 0 into 0 9.871 * [taylor]: Taking taylor expansion of 0 in K 9.871 * [backup-simplify]: Simplify 0 into 0 9.871 * [backup-simplify]: Simplify 0 into 0 9.871 * [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))) 9.871 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 9.872 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) into (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) 9.872 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in (U J K) around 0 9.872 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in K 9.872 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 9.872 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 9.872 * [taylor]: Taking taylor expansion of 1/4 in K 9.872 * [backup-simplify]: Simplify 1/4 into 1/4 9.872 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 9.872 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 9.872 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 9.872 * [taylor]: Taking taylor expansion of 1/4 in K 9.872 * [backup-simplify]: Simplify 1/4 into 1/4 9.872 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 9.872 * [taylor]: Taking taylor expansion of (pow U 2) in K 9.872 * [taylor]: Taking taylor expansion of U in K 9.872 * [backup-simplify]: Simplify U into U 9.872 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 9.872 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 9.872 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 9.872 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 9.872 * [taylor]: Taking taylor expansion of 1/2 in K 9.872 * [backup-simplify]: Simplify 1/2 into 1/2 9.872 * [taylor]: Taking taylor expansion of K in K 9.872 * [backup-simplify]: Simplify 0 into 0 9.873 * [backup-simplify]: Simplify 1 into 1 9.873 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.874 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.874 * [taylor]: Taking taylor expansion of (pow J 2) in K 9.874 * [taylor]: Taking taylor expansion of J in K 9.874 * [backup-simplify]: Simplify J into J 9.874 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.874 * [backup-simplify]: Simplify (* 1 1) into 1 9.874 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.874 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 9.874 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 9.874 * [taylor]: Taking taylor expansion of 1 in K 9.874 * [backup-simplify]: Simplify 1 into 1 9.875 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 9.875 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 9.875 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 9.875 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 9.876 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4) 9.876 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in J 9.876 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 9.876 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 9.876 * [taylor]: Taking taylor expansion of 1/4 in J 9.876 * [backup-simplify]: Simplify 1/4 into 1/4 9.876 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 9.876 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 9.876 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 9.876 * [taylor]: Taking taylor expansion of 1/4 in J 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 J 9.876 * [taylor]: Taking taylor expansion of (pow U 2) in J 9.876 * [taylor]: Taking taylor expansion of U in J 9.876 * [backup-simplify]: Simplify U into U 9.876 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 9.876 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 9.876 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 9.876 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 9.876 * [taylor]: Taking taylor expansion of 1/2 in J 9.876 * [backup-simplify]: Simplify 1/2 into 1/2 9.876 * [taylor]: Taking taylor expansion of K in J 9.876 * [backup-simplify]: Simplify K into K 9.876 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.876 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.876 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.876 * [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 J 9.877 * [taylor]: Taking taylor expansion of J in J 9.877 * [backup-simplify]: Simplify 0 into 0 9.877 * [backup-simplify]: Simplify 1 into 1 9.878 * [backup-simplify]: Simplify (* U U) into (pow U 2) 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 (* 1 1) into 1 9.878 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 9.878 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 9.878 * [taylor]: Taking taylor expansion of 1 in J 9.878 * [backup-simplify]: Simplify 1 into 1 9.879 * [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))) 9.879 * [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))) 9.879 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) 9.880 * [backup-simplify]: Simplify (+ (* (- 2) (log J)) (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))) 9.880 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) into (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) 9.881 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) 9.881 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in U 9.881 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 9.881 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 9.881 * [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 (log (+ (* 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)) 9.882 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.882 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.882 * [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 9.883 * [backup-simplify]: Simplify (* 1 1) into 1 9.883 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 9.883 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.883 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 9.883 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 9.883 * [taylor]: Taking taylor expansion of 1 in U 9.883 * [backup-simplify]: Simplify 1 into 1 9.884 * [backup-simplify]: Simplify (+ 0 1) into 1 9.884 * [backup-simplify]: Simplify (log 1) into 0 9.885 * [backup-simplify]: Simplify (* 1/4 0) into 0 9.885 * [backup-simplify]: Simplify (+ 0 0) into 0 9.886 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.887 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 9.887 * [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))) 9.888 * [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)))) 9.890 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 9.891 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 9.891 * [backup-simplify]: Simplify (exp 0) into 1 9.891 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) in U 9.891 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 9.891 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 9.891 * [taylor]: Taking taylor expansion of 1/4 in U 9.891 * [backup-simplify]: Simplify 1/4 into 1/4 9.891 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 9.891 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 9.891 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 9.891 * [taylor]: Taking taylor expansion of 1/4 in U 9.891 * [backup-simplify]: Simplify 1/4 into 1/4 9.891 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 9.891 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.891 * [taylor]: Taking taylor expansion of U in U 9.891 * [backup-simplify]: Simplify 0 into 0 9.891 * [backup-simplify]: Simplify 1 into 1 9.891 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 9.891 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 9.892 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 9.892 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 9.892 * [taylor]: Taking taylor expansion of 1/2 in U 9.892 * [backup-simplify]: Simplify 1/2 into 1/2 9.892 * [taylor]: Taking taylor expansion of K in U 9.892 * [backup-simplify]: Simplify K into K 9.892 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.892 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.892 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.892 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 9.892 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 9.892 * [backup-simplify]: Simplify (- 0) into 0 9.893 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 9.893 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.893 * [taylor]: Taking taylor expansion of J in U 9.893 * [backup-simplify]: Simplify J into J 9.893 * [backup-simplify]: Simplify (* 1 1) into 1 9.893 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 9.893 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.893 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 9.894 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 9.894 * [taylor]: Taking taylor expansion of 1 in U 9.894 * [backup-simplify]: Simplify 1 into 1 9.894 * [backup-simplify]: Simplify (+ 0 1) into 1 9.895 * [backup-simplify]: Simplify (log 1) into 0 9.895 * [backup-simplify]: Simplify (* 1/4 0) into 0 9.896 * [backup-simplify]: Simplify (+ 0 0) into 0 9.897 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.898 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 9.898 * [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))) 9.898 * [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)))) 9.900 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 9.901 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 9.902 * [backup-simplify]: Simplify (exp 0) into 1 9.902 * [taylor]: Taking taylor expansion of 1 in J 9.902 * [backup-simplify]: Simplify 1 into 1 9.902 * [taylor]: Taking taylor expansion of 1 in K 9.902 * [backup-simplify]: Simplify 1 into 1 9.902 * [backup-simplify]: Simplify 1 into 1 9.903 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 9.903 * [taylor]: Taking taylor expansion of 0 in J 9.903 * [backup-simplify]: Simplify 0 into 0 9.903 * [taylor]: Taking taylor expansion of 0 in K 9.903 * [backup-simplify]: Simplify 0 into 0 9.903 * [backup-simplify]: Simplify 0 into 0 9.903 * [taylor]: Taking taylor expansion of 0 in K 9.903 * [backup-simplify]: Simplify 0 into 0 9.903 * [backup-simplify]: Simplify 0 into 0 9.903 * [backup-simplify]: Simplify 0 into 0 9.904 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/16 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1)))) into (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 9.904 * [taylor]: Taking taylor expansion of (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 9.904 * [taylor]: Taking taylor expansion of 1/16 in J 9.904 * [backup-simplify]: Simplify 1/16 into 1/16 9.904 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 9.905 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 9.905 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 9.905 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 9.905 * [taylor]: Taking taylor expansion of 1/2 in J 9.905 * [backup-simplify]: Simplify 1/2 into 1/2 9.905 * [taylor]: Taking taylor expansion of K in J 9.905 * [backup-simplify]: Simplify K into K 9.905 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 9.905 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 9.905 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 9.905 * [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)) 9.906 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.906 * [taylor]: Taking taylor expansion of J in J 9.906 * [backup-simplify]: Simplify 0 into 0 9.906 * [backup-simplify]: Simplify 1 into 1 9.906 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 9.906 * [backup-simplify]: Simplify (* 1 1) into 1 9.906 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 9.906 * [backup-simplify]: Simplify (/ 1/16 (pow (cos (* 1/2 K)) 2)) into (/ 1/16 (pow (cos (* 1/2 K)) 2)) 9.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.908 * [backup-simplify]: Simplify (+ 0) into 0 9.908 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 9.909 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 9.910 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.910 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 9.910 * [backup-simplify]: Simplify (- 0) into 0 9.911 * [backup-simplify]: Simplify (+ 0 0) into 0 9.911 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 9.912 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.913 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.913 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.914 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 9.915 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.915 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.916 * [backup-simplify]: Simplify (- 0) into 0 9.916 * [backup-simplify]: Simplify (+ 0 0) into 0 9.917 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 9.917 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 9.918 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 9.918 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/16 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 9.919 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/16 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 9.919 * [taylor]: Taking taylor expansion of 0 in K 9.919 * [backup-simplify]: Simplify 0 into 0 9.919 * [backup-simplify]: Simplify 0 into 0 9.919 * [taylor]: Taking taylor expansion of 0 in K 9.919 * [backup-simplify]: Simplify 0 into 0 9.919 * [backup-simplify]: Simplify 0 into 0 9.919 * [taylor]: Taking taylor expansion of 0 in K 9.919 * [backup-simplify]: Simplify 0 into 0 9.919 * [backup-simplify]: Simplify 0 into 0 9.919 * [backup-simplify]: Simplify 1 into 1 9.920 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ (/ 1 U) (* (+ (/ 1 J) (/ 1 J)) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (* (+ (/ 1 J) (/ 1 J)) (cos (/ (/ 1 K) 2))))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) 9.920 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in (U J K) around 0 9.920 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in K 9.920 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in K 9.920 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in K 9.920 * [taylor]: Taking taylor expansion of 1/4 in K 9.920 * [backup-simplify]: Simplify 1/4 into 1/4 9.920 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 9.920 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 9.920 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 9.920 * [taylor]: Taking taylor expansion of 1/4 in K 9.920 * [backup-simplify]: Simplify 1/4 into 1/4 9.920 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 9.920 * [taylor]: Taking taylor expansion of (pow J 2) in K 9.920 * [taylor]: Taking taylor expansion of J in K 9.920 * [backup-simplify]: Simplify J into J 9.920 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 9.920 * [taylor]: Taking taylor expansion of (pow U 2) in K 9.920 * [taylor]: Taking taylor expansion of U in K 9.920 * [backup-simplify]: Simplify U into U 9.921 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 9.921 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 9.921 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 9.921 * [taylor]: Taking taylor expansion of 1/2 in K 9.921 * [backup-simplify]: Simplify 1/2 into 1/2 9.921 * [taylor]: Taking taylor expansion of K in K 9.921 * [backup-simplify]: Simplify 0 into 0 9.921 * [backup-simplify]: Simplify 1 into 1 9.921 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.921 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.922 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.922 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.922 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.922 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 9.922 * [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))) 9.922 * [taylor]: Taking taylor expansion of 1 in K 9.922 * [backup-simplify]: Simplify 1 into 1 9.922 * [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)))) 9.923 * [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) 9.923 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 9.924 * [backup-simplify]: Simplify (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) 9.924 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) 9.924 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in J 9.924 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in J 9.924 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in J 9.924 * [taylor]: Taking taylor expansion of 1/4 in J 9.924 * [backup-simplify]: Simplify 1/4 into 1/4 9.924 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 9.924 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 9.924 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 9.924 * [taylor]: Taking taylor expansion of 1/4 in J 9.924 * [backup-simplify]: Simplify 1/4 into 1/4 9.924 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 9.924 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.924 * [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 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 9.925 * [taylor]: Taking taylor expansion of (pow U 2) in J 9.925 * [taylor]: Taking taylor expansion of U in J 9.925 * [backup-simplify]: Simplify U into U 9.925 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 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 1) into 1 9.926 * [backup-simplify]: Simplify (* U U) into (pow U 2) 9.927 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.927 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 9.927 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 9.927 * [taylor]: Taking taylor expansion of 1 in J 9.927 * [backup-simplify]: Simplify 1 into 1 9.927 * [backup-simplify]: Simplify (+ 0 1) into 1 9.928 * [backup-simplify]: Simplify (log 1) into 0 9.928 * [backup-simplify]: Simplify (* 1/4 0) into 0 9.929 * [backup-simplify]: Simplify (+ 0 0) into 0 9.930 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.931 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 9.931 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 9.931 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 9.934 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 9.934 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 0))) into (* 1/16 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 9.934 * [backup-simplify]: Simplify (exp 0) into 1 9.934 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in U 9.934 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 9.934 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 9.934 * [taylor]: Taking taylor expansion of 1/4 in U 9.935 * [backup-simplify]: Simplify 1/4 into 1/4 9.935 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 9.935 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 9.935 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 9.935 * [taylor]: Taking taylor expansion of 1/4 in U 9.935 * [backup-simplify]: Simplify 1/4 into 1/4 9.935 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 9.935 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.935 * [taylor]: Taking taylor expansion of J in U 9.935 * [backup-simplify]: Simplify J into J 9.935 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 9.935 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.935 * [taylor]: Taking taylor expansion of U in U 9.935 * [backup-simplify]: Simplify 0 into 0 9.935 * [backup-simplify]: Simplify 1 into 1 9.935 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 9.935 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 9.935 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 9.935 * [taylor]: Taking taylor expansion of 1/2 in U 9.935 * [backup-simplify]: Simplify 1/2 into 1/2 9.935 * [taylor]: Taking taylor expansion of K in U 9.935 * [backup-simplify]: Simplify K into K 9.935 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.935 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.935 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.935 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.935 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.936 * [backup-simplify]: Simplify (- 0) into 0 9.936 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.936 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.936 * [backup-simplify]: Simplify (* 1 1) into 1 9.937 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.937 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 9.937 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 9.937 * [taylor]: Taking taylor expansion of 1 in U 9.937 * [backup-simplify]: Simplify 1 into 1 9.937 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 9.937 * [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))) 9.938 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 9.938 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 9.939 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 9.939 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 9.939 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) in U 9.939 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 9.939 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 9.939 * [taylor]: Taking taylor expansion of 1/4 in U 9.939 * [backup-simplify]: Simplify 1/4 into 1/4 9.939 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 9.939 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 9.939 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 9.939 * [taylor]: Taking taylor expansion of 1/4 in U 9.939 * [backup-simplify]: Simplify 1/4 into 1/4 9.939 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 9.939 * [taylor]: Taking taylor expansion of (pow J 2) in U 9.939 * [taylor]: Taking taylor expansion of J in U 9.939 * [backup-simplify]: Simplify J into J 9.939 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 9.940 * [taylor]: Taking taylor expansion of (pow U 2) in U 9.940 * [taylor]: Taking taylor expansion of U in U 9.940 * [backup-simplify]: Simplify 0 into 0 9.940 * [backup-simplify]: Simplify 1 into 1 9.940 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 9.940 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 9.940 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 9.940 * [taylor]: Taking taylor expansion of 1/2 in U 9.940 * [backup-simplify]: Simplify 1/2 into 1/2 9.940 * [taylor]: Taking taylor expansion of K in U 9.940 * [backup-simplify]: Simplify K into K 9.940 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.940 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.940 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.940 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.940 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.941 * [backup-simplify]: Simplify (- 0) into 0 9.941 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.941 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.941 * [backup-simplify]: Simplify (* 1 1) into 1 9.941 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.941 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 9.942 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 9.942 * [taylor]: Taking taylor expansion of 1 in U 9.942 * [backup-simplify]: Simplify 1 into 1 9.942 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 9.942 * [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))) 9.942 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 9.943 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 9.943 * [backup-simplify]: Simplify (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 9.944 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 9.944 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 9.944 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 9.944 * [taylor]: Taking taylor expansion of 1/4 in J 9.944 * [backup-simplify]: Simplify 1/4 into 1/4 9.944 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 9.944 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 9.944 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 9.944 * [taylor]: Taking taylor expansion of 1/4 in J 9.944 * [backup-simplify]: Simplify 1/4 into 1/4 9.944 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 9.944 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.944 * [taylor]: Taking taylor expansion of J in J 9.944 * [backup-simplify]: Simplify 0 into 0 9.944 * [backup-simplify]: Simplify 1 into 1 9.944 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 9.944 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 9.944 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 9.944 * [taylor]: Taking taylor expansion of 1/2 in J 9.944 * [backup-simplify]: Simplify 1/2 into 1/2 9.944 * [taylor]: Taking taylor expansion of K in J 9.944 * [backup-simplify]: Simplify K into K 9.944 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.945 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.945 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.945 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.945 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.945 * [backup-simplify]: Simplify (- 0) into 0 9.945 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.946 * [backup-simplify]: Simplify (* 1 1) into 1 9.946 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.946 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 9.946 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 9.946 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 9.946 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 9.946 * [taylor]: Taking taylor expansion of 2 in J 9.946 * [backup-simplify]: Simplify 2 into 2 9.946 * [taylor]: Taking taylor expansion of (log U) in J 9.946 * [taylor]: Taking taylor expansion of U in J 9.947 * [backup-simplify]: Simplify U into U 9.947 * [backup-simplify]: Simplify (log U) into (log U) 9.947 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 9.947 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 9.947 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 9.948 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 9.948 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 9.948 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 9.948 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 9.948 * [taylor]: Taking taylor expansion of (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 9.948 * [taylor]: Taking taylor expansion of 1/4 in K 9.948 * [backup-simplify]: Simplify 1/4 into 1/4 9.948 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 9.949 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) in K 9.949 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 9.949 * [taylor]: Taking taylor expansion of 2 in K 9.949 * [backup-simplify]: Simplify 2 into 2 9.949 * [taylor]: Taking taylor expansion of (log J) in K 9.949 * [taylor]: Taking taylor expansion of J in K 9.949 * [backup-simplify]: Simplify J into J 9.949 * [backup-simplify]: Simplify (log J) into (log J) 9.949 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) in K 9.949 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K 9.949 * [taylor]: Taking taylor expansion of 1/4 in K 9.949 * [backup-simplify]: Simplify 1/4 into 1/4 9.949 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 9.949 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 9.949 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 9.949 * [taylor]: Taking taylor expansion of 1/2 in K 9.949 * [backup-simplify]: Simplify 1/2 into 1/2 9.949 * [taylor]: Taking taylor expansion of K in K 9.949 * [backup-simplify]: Simplify 0 into 0 9.949 * [backup-simplify]: Simplify 1 into 1 9.950 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.950 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.950 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.950 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 9.950 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 9.950 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 9.950 * [taylor]: Taking taylor expansion of 2 in K 9.950 * [backup-simplify]: Simplify 2 into 2 9.950 * [taylor]: Taking taylor expansion of (log U) in K 9.950 * [taylor]: Taking taylor expansion of U in K 9.950 * [backup-simplify]: Simplify U into U 9.950 * [backup-simplify]: Simplify (log U) into (log U) 9.950 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 9.951 * [backup-simplify]: Simplify (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 9.951 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 9.951 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 9.951 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 9.951 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 9.952 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 9.952 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 9.952 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 9.952 * [backup-simplify]: Simplify (+ 0) into 0 9.953 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.953 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.954 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.954 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.955 * [backup-simplify]: Simplify (- 0) into 0 9.955 * [backup-simplify]: Simplify (+ 0 0) into 0 9.955 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 9.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 9.957 * [backup-simplify]: 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 9.958 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 9.958 * [backup-simplify]: Simplify (+ 0 0) into 0 9.959 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 9.960 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 9.961 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 9.962 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.962 * [taylor]: Taking taylor expansion of 0 in J 9.962 * [backup-simplify]: Simplify 0 into 0 9.962 * [taylor]: Taking taylor expansion of 0 in K 9.962 * [backup-simplify]: Simplify 0 into 0 9.962 * [backup-simplify]: Simplify 0 into 0 9.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.963 * [backup-simplify]: Simplify (+ 0) into 0 9.964 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.964 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.965 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.965 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.966 * [backup-simplify]: Simplify (- 0) into 0 9.966 * [backup-simplify]: Simplify (+ 0 0) into 0 9.966 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 9.967 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 9.967 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 9.968 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 9.969 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 9.969 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 9.970 * [backup-simplify]: Simplify (- 0) into 0 9.970 * [backup-simplify]: Simplify (+ 0 0) into 0 9.971 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 9.972 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.972 * [taylor]: Taking taylor expansion of 0 in K 9.972 * [backup-simplify]: Simplify 0 into 0 9.972 * [backup-simplify]: Simplify 0 into 0 9.973 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 9.973 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 9.974 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 9.974 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 9.975 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 9.975 * [backup-simplify]: Simplify (+ 0 0) into 0 9.976 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 9.976 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 9.977 * [backup-simplify]: Simplify (- 0) into 0 9.977 * [backup-simplify]: Simplify (+ 0 0) into 0 9.978 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 9.979 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.979 * [backup-simplify]: Simplify 0 into 0 9.979 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 9.979 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.980 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.980 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.980 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.981 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.981 * [backup-simplify]: Simplify (- 0) into 0 9.981 * [backup-simplify]: Simplify (+ 0 0) into 0 9.982 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 9.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 9.983 * [backup-simplify]: 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 9.984 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 9.984 * [backup-simplify]: Simplify (+ 0 1) into 1 9.985 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 9.989 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 9.990 * [backup-simplify]: Simplify (+ (* 1/4 (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 9.991 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)) 1) 1)))) into (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) 9.991 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in J 9.991 * [taylor]: Taking taylor expansion of (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in J 9.991 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 9.991 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 9.991 * [taylor]: Taking taylor expansion of 1/4 in J 9.991 * [backup-simplify]: Simplify 1/4 into 1/4 9.991 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 9.991 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 9.991 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 9.991 * [taylor]: Taking taylor expansion of 1/4 in J 9.991 * [backup-simplify]: Simplify 1/4 into 1/4 9.991 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 9.991 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.991 * [taylor]: Taking taylor expansion of J in J 9.991 * [backup-simplify]: Simplify 0 into 0 9.991 * [backup-simplify]: Simplify 1 into 1 9.991 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 9.991 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 9.991 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 9.991 * [taylor]: Taking taylor expansion of 1/2 in J 9.991 * [backup-simplify]: Simplify 1/2 into 1/2 9.991 * [taylor]: Taking taylor expansion of K in J 9.991 * [backup-simplify]: Simplify K into K 9.991 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.991 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.991 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.991 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.991 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.992 * [backup-simplify]: Simplify (- 0) into 0 9.992 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.992 * [backup-simplify]: Simplify (* 1 1) into 1 9.992 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.992 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 9.992 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 9.992 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 9.992 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 9.992 * [taylor]: Taking taylor expansion of 2 in J 9.992 * [backup-simplify]: Simplify 2 into 2 9.992 * [taylor]: Taking taylor expansion of (log U) in J 9.992 * [taylor]: Taking taylor expansion of U in J 9.992 * [backup-simplify]: Simplify U into U 9.992 * [backup-simplify]: Simplify (log U) into (log U) 9.993 * [backup-simplify]: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) 9.993 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 9.993 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 9.993 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 9.993 * [backup-simplify]: Simplify (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 9.993 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 9.993 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 9.993 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 9.993 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 9.993 * [taylor]: Taking taylor expansion of 1/2 in J 9.993 * [backup-simplify]: Simplify 1/2 into 1/2 9.993 * [taylor]: Taking taylor expansion of K in J 9.993 * [backup-simplify]: Simplify K into K 9.994 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.994 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 9.994 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 9.994 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 9.994 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 9.994 * [backup-simplify]: Simplify (- 0) into 0 9.994 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 9.994 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.994 * [taylor]: Taking taylor expansion of J in J 9.994 * [backup-simplify]: Simplify 0 into 0 9.994 * [backup-simplify]: Simplify 1 into 1 9.994 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 9.994 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 9.995 * [backup-simplify]: Simplify (* 1 1) into 1 9.995 * [backup-simplify]: Simplify (/ (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 1) into (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 9.995 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 9.996 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.996 * [backup-simplify]: Simplify (+ 0) into 0 9.996 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.996 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.997 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.997 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.998 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.998 * [backup-simplify]: Simplify (- 0) into 0 9.998 * [backup-simplify]: Simplify (+ 0 0) into 0 9.999 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 9.999 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 9.999 * [backup-simplify]: Simplify (- 0) into 0 9.999 * [backup-simplify]: Simplify (+ 0 0) into 0 10.000 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 10.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.000 * [backup-simplify]: Simplify (+ 0) into 0 10.001 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 10.001 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 10.001 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.002 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 10.002 * [backup-simplify]: Simplify (- 0) into 0 10.002 * [backup-simplify]: Simplify (+ 0 0) into 0 10.002 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.002 * [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 10.003 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 10.003 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 10.004 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 10.004 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 10.004 * [backup-simplify]: Simplify (- 0) into 0 10.005 * [backup-simplify]: Simplify (+ 0 0) into 0 10.005 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 10.006 * [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 10.006 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 10.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.007 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.007 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.008 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.008 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.008 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.009 * [backup-simplify]: Simplify (- 0) into 0 10.009 * [backup-simplify]: Simplify (+ 0 0) into 0 10.009 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 10.010 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 10.010 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 10.011 * [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 10.012 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 10.013 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 10.013 * [backup-simplify]: Simplify (- 0) into 0 10.013 * [backup-simplify]: Simplify (+ 0 0) into 0 10.014 * [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 10.015 * [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 10.016 * [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 10.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.016 * [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 10.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.018 * [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 10.019 * [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 10.019 * [taylor]: Taking taylor expansion of 0 in K 10.019 * [backup-simplify]: Simplify 0 into 0 10.019 * [backup-simplify]: Simplify 0 into 0 10.019 * [taylor]: Taking taylor expansion of 0 in K 10.019 * [backup-simplify]: Simplify 0 into 0 10.019 * [backup-simplify]: Simplify 0 into 0 10.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.020 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.020 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.021 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.021 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.021 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.022 * [backup-simplify]: Simplify (- 0) into 0 10.022 * [backup-simplify]: Simplify (+ 0 0) into 0 10.022 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 10.023 * [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 10.023 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 10.024 * [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 10.025 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 10.026 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 10.026 * [backup-simplify]: Simplify (- 0) into 0 10.026 * [backup-simplify]: Simplify (+ 0 0) into 0 10.027 * [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 10.028 * [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 10.028 * [taylor]: Taking taylor expansion of 0 in K 10.028 * [backup-simplify]: Simplify 0 into 0 10.028 * [backup-simplify]: Simplify 0 into 0 10.028 * [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)))))) 10.029 * [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) 10.029 * [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 10.029 * [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 10.029 * [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 10.029 * [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 10.029 * [taylor]: Taking taylor expansion of 1/4 in K 10.029 * [backup-simplify]: Simplify 1/4 into 1/4 10.029 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 10.029 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 10.029 * [taylor]: Taking taylor expansion of 1 in K 10.029 * [backup-simplify]: Simplify 1 into 1 10.029 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 10.029 * [taylor]: Taking taylor expansion of 1/4 in K 10.029 * [backup-simplify]: Simplify 1/4 into 1/4 10.029 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 10.029 * [taylor]: Taking taylor expansion of (pow J 2) in K 10.029 * [taylor]: Taking taylor expansion of J in K 10.029 * [backup-simplify]: Simplify J into J 10.029 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 10.029 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 10.029 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.029 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.029 * [taylor]: Taking taylor expansion of -1/2 in K 10.029 * [backup-simplify]: Simplify -1/2 into -1/2 10.029 * [taylor]: Taking taylor expansion of K in K 10.029 * [backup-simplify]: Simplify 0 into 0 10.029 * [backup-simplify]: Simplify 1 into 1 10.030 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.030 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.030 * [taylor]: Taking taylor expansion of (pow U 2) in K 10.030 * [taylor]: Taking taylor expansion of U in K 10.030 * [backup-simplify]: Simplify U into U 10.030 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.030 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.030 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.030 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 10.030 * [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))) 10.030 * [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)))) 10.030 * [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))))) 10.031 * [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)))))) 10.031 * [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))))))) 10.031 * [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) 10.031 * [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 10.031 * [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 10.031 * [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 10.031 * [taylor]: Taking taylor expansion of 1/4 in J 10.031 * [backup-simplify]: Simplify 1/4 into 1/4 10.031 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 10.031 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 10.031 * [taylor]: Taking taylor expansion of 1 in J 10.031 * [backup-simplify]: Simplify 1 into 1 10.031 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 10.031 * [taylor]: Taking taylor expansion of 1/4 in J 10.031 * [backup-simplify]: Simplify 1/4 into 1/4 10.031 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 10.031 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.031 * [taylor]: Taking taylor expansion of J in J 10.031 * [backup-simplify]: Simplify 0 into 0 10.031 * [backup-simplify]: Simplify 1 into 1 10.032 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 10.032 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 10.032 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.032 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.032 * [taylor]: Taking taylor expansion of -1/2 in J 10.032 * [backup-simplify]: Simplify -1/2 into -1/2 10.032 * [taylor]: Taking taylor expansion of K in J 10.032 * [backup-simplify]: Simplify K into K 10.032 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.032 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.032 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.032 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.032 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.032 * [backup-simplify]: Simplify (- 0) into 0 10.032 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.032 * [taylor]: Taking taylor expansion of (pow U 2) in J 10.032 * [taylor]: Taking taylor expansion of U in J 10.032 * [backup-simplify]: Simplify U into U 10.033 * [backup-simplify]: Simplify (* 1 1) into 1 10.033 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.033 * [backup-simplify]: Simplify (* U U) into (pow U 2) 10.033 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 10.033 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 10.033 * [backup-simplify]: Simplify (+ 1 0) into 1 10.034 * [backup-simplify]: Simplify (log 1) into 0 10.034 * [backup-simplify]: Simplify (* 1/4 0) into 0 10.034 * [backup-simplify]: Simplify (+ 0 0) into 0 10.036 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.036 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 10.036 * [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))) 10.036 * [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)))) 10.038 * [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))) 10.039 * [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)))) 10.039 * [backup-simplify]: Simplify (exp 0) into 1 10.039 * [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 10.039 * [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 10.039 * [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 10.039 * [taylor]: Taking taylor expansion of 1/4 in U 10.039 * [backup-simplify]: Simplify 1/4 into 1/4 10.039 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 10.039 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 10.039 * [taylor]: Taking taylor expansion of 1 in U 10.039 * [backup-simplify]: Simplify 1 into 1 10.039 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 10.039 * [taylor]: Taking taylor expansion of 1/4 in U 10.039 * [backup-simplify]: Simplify 1/4 into 1/4 10.039 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 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 10.039 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 10.039 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 10.039 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.039 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.039 * [taylor]: Taking taylor expansion of -1/2 in U 10.039 * [backup-simplify]: Simplify -1/2 into -1/2 10.039 * [taylor]: Taking taylor expansion of K in U 10.039 * [backup-simplify]: Simplify K into K 10.039 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.039 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.040 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.040 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.040 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.040 * [backup-simplify]: Simplify (- 0) into 0 10.040 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.040 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.040 * [taylor]: Taking taylor expansion of U in U 10.040 * [backup-simplify]: Simplify 0 into 0 10.040 * [backup-simplify]: Simplify 1 into 1 10.040 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.040 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.041 * [backup-simplify]: Simplify (* 1 1) into 1 10.041 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 10.041 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 10.041 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 10.042 * [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))) 10.042 * [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)))) 10.043 * [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))) 10.043 * [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)))) 10.043 * [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))))) 10.043 * [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 10.043 * [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 10.043 * [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 10.043 * [taylor]: Taking taylor expansion of 1/4 in U 10.043 * [backup-simplify]: Simplify 1/4 into 1/4 10.043 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 10.043 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 10.043 * [taylor]: Taking taylor expansion of 1 in U 10.043 * [backup-simplify]: Simplify 1 into 1 10.043 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 10.043 * [taylor]: Taking taylor expansion of 1/4 in U 10.044 * [backup-simplify]: Simplify 1/4 into 1/4 10.044 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 10.044 * [taylor]: Taking taylor expansion of (pow J 2) in U 10.044 * [taylor]: Taking taylor expansion of J in U 10.044 * [backup-simplify]: Simplify J into J 10.044 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 10.044 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 10.044 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 10.044 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 10.044 * [taylor]: Taking taylor expansion of -1/2 in U 10.044 * [backup-simplify]: Simplify -1/2 into -1/2 10.044 * [taylor]: Taking taylor expansion of K in U 10.044 * [backup-simplify]: Simplify K into K 10.044 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.044 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.044 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.044 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.044 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.045 * [backup-simplify]: Simplify (- 0) into 0 10.045 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.045 * [taylor]: Taking taylor expansion of (pow U 2) in U 10.045 * [taylor]: Taking taylor expansion of U in U 10.045 * [backup-simplify]: Simplify 0 into 0 10.045 * [backup-simplify]: Simplify 1 into 1 10.045 * [backup-simplify]: Simplify (* J J) into (pow J 2) 10.045 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.046 * [backup-simplify]: Simplify (* 1 1) into 1 10.046 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 10.046 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 10.046 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 10.046 * [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))) 10.047 * [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)))) 10.047 * [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))) 10.048 * [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)))) 10.048 * [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))))) 10.048 * [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 10.048 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 10.048 * [taylor]: Taking taylor expansion of 1/4 in J 10.048 * [backup-simplify]: Simplify 1/4 into 1/4 10.048 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 10.048 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 10.048 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 10.048 * [taylor]: Taking taylor expansion of 1/4 in J 10.048 * [backup-simplify]: Simplify 1/4 into 1/4 10.048 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 10.048 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.048 * [taylor]: Taking taylor expansion of J in J 10.048 * [backup-simplify]: Simplify 0 into 0 10.048 * [backup-simplify]: Simplify 1 into 1 10.049 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 10.049 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.049 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.049 * [taylor]: Taking taylor expansion of -1/2 in J 10.049 * [backup-simplify]: Simplify -1/2 into -1/2 10.049 * [taylor]: Taking taylor expansion of K in J 10.049 * [backup-simplify]: Simplify K into K 10.049 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.049 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.049 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.049 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.049 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.049 * [backup-simplify]: Simplify (- 0) into 0 10.050 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.050 * [backup-simplify]: Simplify (* 1 1) into 1 10.050 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.050 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 10.050 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 10.051 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 10.051 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 10.051 * [taylor]: Taking taylor expansion of 2 in J 10.051 * [backup-simplify]: Simplify 2 into 2 10.051 * [taylor]: Taking taylor expansion of (log U) in J 10.051 * [taylor]: Taking taylor expansion of U in J 10.051 * [backup-simplify]: Simplify U into U 10.051 * [backup-simplify]: Simplify (log U) into (log U) 10.051 * [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)))) 10.051 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 10.051 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 10.052 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 10.052 * [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)))) 10.052 * [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))))) 10.052 * [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 10.052 * [taylor]: Taking taylor expansion of (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 10.052 * [taylor]: Taking taylor expansion of 1/4 in K 10.053 * [backup-simplify]: Simplify 1/4 into 1/4 10.053 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 10.053 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) in K 10.053 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 10.053 * [taylor]: Taking taylor expansion of 2 in K 10.053 * [backup-simplify]: Simplify 2 into 2 10.053 * [taylor]: Taking taylor expansion of (log J) in K 10.053 * [taylor]: Taking taylor expansion of J in K 10.053 * [backup-simplify]: Simplify J into J 10.053 * [backup-simplify]: Simplify (log J) into (log J) 10.053 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) in K 10.053 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K 10.053 * [taylor]: Taking taylor expansion of 1/4 in K 10.053 * [backup-simplify]: Simplify 1/4 into 1/4 10.053 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 10.053 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 10.053 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 10.053 * [taylor]: Taking taylor expansion of -1/2 in K 10.053 * [backup-simplify]: Simplify -1/2 into -1/2 10.053 * [taylor]: Taking taylor expansion of K in K 10.053 * [backup-simplify]: Simplify 0 into 0 10.053 * [backup-simplify]: Simplify 1 into 1 10.054 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 10.054 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.054 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.054 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 10.054 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 10.054 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 10.054 * [taylor]: Taking taylor expansion of 2 in K 10.054 * [backup-simplify]: Simplify 2 into 2 10.054 * [taylor]: Taking taylor expansion of (log U) in K 10.054 * [taylor]: Taking taylor expansion of U in K 10.054 * [backup-simplify]: Simplify U into U 10.055 * [backup-simplify]: Simplify (log U) into (log U) 10.055 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 10.055 * [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)))) 10.055 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 10.055 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 10.055 * [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))) 10.056 * [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)))) 10.056 * [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))))) 10.056 * [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))))) 10.056 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 10.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.058 * [backup-simplify]: Simplify (+ 0) into 0 10.058 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.059 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.059 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.060 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 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 (cos (/ -1/2 K)))) into 0 10.061 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 10.062 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 10.062 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 10.063 * [backup-simplify]: Simplify (+ 0 0) into 0 10.064 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 10.064 * [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))) 10.065 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 10.066 * [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 10.066 * [taylor]: Taking taylor expansion of 0 in J 10.067 * [backup-simplify]: Simplify 0 into 0 10.067 * [taylor]: Taking taylor expansion of 0 in K 10.067 * [backup-simplify]: Simplify 0 into 0 10.067 * [backup-simplify]: Simplify 0 into 0 10.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.068 * [backup-simplify]: Simplify (+ 0) into 0 10.068 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.069 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.069 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.070 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.070 * [backup-simplify]: Simplify (- 0) into 0 10.071 * [backup-simplify]: Simplify (+ 0 0) into 0 10.071 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 10.071 * [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 10.072 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 10.073 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 10.074 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 10.074 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 10.075 * [backup-simplify]: Simplify (- 0) into 0 10.075 * [backup-simplify]: Simplify (+ 0 0) into 0 10.076 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 10.077 * [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 10.077 * [taylor]: Taking taylor expansion of 0 in K 10.077 * [backup-simplify]: Simplify 0 into 0 10.077 * [backup-simplify]: Simplify 0 into 0 10.078 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 10.079 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 10.079 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 10.079 * [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 10.080 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 10.080 * [backup-simplify]: Simplify (+ 0 0) into 0 10.081 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 10.082 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 10.082 * [backup-simplify]: Simplify (- 0) into 0 10.082 * [backup-simplify]: Simplify (+ 0 0) into 0 10.083 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 10.084 * [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 10.084 * [backup-simplify]: Simplify 0 into 0 10.085 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 10.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.086 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.087 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.087 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.088 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.088 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.089 * [backup-simplify]: Simplify (- 0) into 0 10.089 * [backup-simplify]: Simplify (+ 0 0) into 0 10.089 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 10.090 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 10.091 * [backup-simplify]: 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 10.092 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 10.092 * [backup-simplify]: Simplify (+ 1 0) into 1 10.094 * [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))) 10.095 * [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))) 10.096 * [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)) 10.097 * [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)) 10.097 * [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 10.097 * [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 10.097 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 10.097 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.097 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.097 * [taylor]: Taking taylor expansion of -1/2 in J 10.097 * [backup-simplify]: Simplify -1/2 into -1/2 10.097 * [taylor]: Taking taylor expansion of K in J 10.097 * [backup-simplify]: Simplify K into K 10.097 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.097 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.097 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.097 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.098 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.098 * [backup-simplify]: Simplify (- 0) into 0 10.098 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.098 * [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 10.098 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 10.098 * [taylor]: Taking taylor expansion of 1/4 in J 10.098 * [backup-simplify]: Simplify 1/4 into 1/4 10.098 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 10.098 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 10.098 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 10.098 * [taylor]: Taking taylor expansion of 1/4 in J 10.098 * [backup-simplify]: Simplify 1/4 into 1/4 10.098 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 10.098 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.098 * [taylor]: Taking taylor expansion of J in J 10.098 * [backup-simplify]: Simplify 0 into 0 10.098 * [backup-simplify]: Simplify 1 into 1 10.098 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 10.098 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 10.098 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 10.098 * [taylor]: Taking taylor expansion of -1/2 in J 10.099 * [backup-simplify]: Simplify -1/2 into -1/2 10.099 * [taylor]: Taking taylor expansion of K in J 10.099 * [backup-simplify]: Simplify K into K 10.099 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 10.099 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 10.099 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 10.099 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 10.099 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 10.099 * [backup-simplify]: Simplify (- 0) into 0 10.100 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 10.100 * [backup-simplify]: Simplify (* 1 1) into 1 10.100 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.100 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 10.100 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 10.100 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 10.101 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 10.101 * [taylor]: Taking taylor expansion of 2 in J 10.101 * [backup-simplify]: Simplify 2 into 2 10.101 * [taylor]: Taking taylor expansion of (log U) in J 10.101 * [taylor]: Taking taylor expansion of U in J 10.101 * [backup-simplify]: Simplify U into U 10.101 * [backup-simplify]: Simplify (log U) into (log U) 10.101 * [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)))) 10.101 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 10.101 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 10.102 * [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))) 10.102 * [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)))) 10.102 * [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))))) 10.102 * [taylor]: Taking taylor expansion of (pow J 2) in J 10.102 * [taylor]: Taking taylor expansion of J in J 10.102 * [backup-simplify]: Simplify 0 into 0 10.102 * [backup-simplify]: Simplify 1 into 1 10.103 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 10.103 * [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)))))) 10.104 * [backup-simplify]: Simplify (* 1 1) into 1 10.104 * [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)))))) 10.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.105 * [backup-simplify]: Simplify (+ 0) into 0 10.106 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.106 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.107 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.113 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 10.114 * [backup-simplify]: Simplify (- 0) into 0 10.114 * [backup-simplify]: Simplify (+ 0 0) into 0 10.114 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 10.115 * [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 10.115 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 10.116 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 10.117 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 10.118 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 10.118 * [backup-simplify]: Simplify (- 0) into 0 10.118 * [backup-simplify]: Simplify (+ 0 0) into 0 10.119 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 10.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.121 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.122 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.122 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.123 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.124 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.124 * [backup-simplify]: Simplify (- 0) into 0 10.124 * [backup-simplify]: Simplify (+ 0 0) into 0 10.125 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 10.125 * [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 10.126 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 10.128 * [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 10.130 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 10.130 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 10.131 * [backup-simplify]: Simplify (- 0) into 0 10.131 * [backup-simplify]: Simplify (+ 0 0) into 0 10.132 * [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 10.134 * [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 10.134 * [backup-simplify]: Simplify (+ 0) into 0 10.135 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 10.135 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 10.136 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.136 * [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 10.137 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 10.138 * [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 10.139 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.140 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.140 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.141 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.141 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.141 * [backup-simplify]: Simplify (- 0) into 0 10.142 * [backup-simplify]: Simplify (+ 0 0) into 0 10.142 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 10.143 * [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 10.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.145 * [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 10.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.147 * [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 10.148 * [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 10.148 * [taylor]: Taking taylor expansion of 0 in K 10.148 * [backup-simplify]: Simplify 0 into 0 10.148 * [backup-simplify]: Simplify 0 into 0 10.148 * [taylor]: Taking taylor expansion of 0 in K 10.148 * [backup-simplify]: Simplify 0 into 0 10.149 * [backup-simplify]: Simplify 0 into 0 10.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.150 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.151 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 10.151 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.152 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.153 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 10.153 * [backup-simplify]: Simplify (- 0) into 0 10.153 * [backup-simplify]: Simplify (+ 0 0) into 0 10.154 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 10.154 * [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 10.155 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 10.157 * [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 10.159 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 10.159 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 10.160 * [backup-simplify]: Simplify (- 0) into 0 10.160 * [backup-simplify]: Simplify (+ 0 0) into 0 10.161 * [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 10.163 * [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 10.163 * [taylor]: Taking taylor expansion of 0 in K 10.163 * [backup-simplify]: Simplify 0 into 0 10.163 * [backup-simplify]: Simplify 0 into 0 10.164 * [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)))))) 10.164 * * * [progress]: simplifying candidates 10.164 * * * * [progress]: [ 1 / 82 ] simplifiying candidate # 10.164 * * * * [progress]: [ 2 / 82 ] simplifiying candidate # 10.164 * * * * [progress]: [ 3 / 82 ] simplifiying candidate # 10.164 * * * * [progress]: [ 4 / 82 ] simplifiying candidate # 10.164 * * * * [progress]: [ 5 / 82 ] simplifiying candidate # 10.164 * * * * [progress]: [ 6 / 82 ] simplifiying candidate # 10.164 * * * * [progress]: [ 7 / 82 ] simplifiying candidate # 10.164 * * * * [progress]: [ 8 / 82 ] simplifiying candidate # 10.165 * * * * [progress]: [ 9 / 82 ] simplifiying candidate # 10.165 * * * * [progress]: [ 10 / 82 ] simplifiying candidate # 10.165 * * * * [progress]: [ 11 / 82 ] simplifiying candidate # 10.165 * * * * [progress]: [ 12 / 82 ] simplifiying candidate # 10.165 * * * * [progress]: [ 13 / 82 ] simplifiying candidate # 10.165 * * * * [progress]: [ 14 / 82 ] simplifiying candidate # 10.165 * * * * [progress]: [ 15 / 82 ] simplifiying candidate # 10.165 * * * * [progress]: [ 16 / 82 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))> 10.165 * * * * [progress]: [ 17 / 82 ] simplifiying candidate # 10.165 * * * * [progress]: [ 18 / 82 ] simplifiying candidate # 10.165 * * * * [progress]: [ 19 / 82 ] simplifiying candidate # 10.165 * * * * [progress]: [ 20 / 82 ] simplifiying candidate # 10.166 * * * * [progress]: [ 21 / 82 ] simplifiying candidate # 10.166 * * * * [progress]: [ 22 / 82 ] simplifiying candidate # 10.166 * * * * [progress]: [ 23 / 82 ] simplifiying candidate # 10.166 * * * * [progress]: [ 24 / 82 ] simplifiying candidate # 10.166 * * * * [progress]: [ 25 / 82 ] simplifiying candidate # 10.166 * * * * [progress]: [ 26 / 82 ] simplifiying candidate # 10.166 * * * * [progress]: [ 27 / 82 ] simplifiying candidate # 10.166 * * * * [progress]: [ 28 / 82 ] simplifiying candidate # 10.166 * * * * [progress]: [ 29 / 82 ] simplifiying candidate # 10.166 * * * * [progress]: [ 30 / 82 ] simplifiying candidate # 10.166 * * * * [progress]: [ 31 / 82 ] simplifiying candidate # 10.166 * * * * [progress]: [ 32 / 82 ] 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)))))> 10.167 * * * * [progress]: [ 33 / 82 ] simplifiying candidate # 10.167 * * * * [progress]: [ 34 / 82 ] simplifiying candidate # 10.167 * * * * [progress]: [ 35 / 82 ] simplifiying candidate # 10.167 * * * * [progress]: [ 36 / 82 ] simplifiying candidate # 10.167 * * * * [progress]: [ 37 / 82 ] simplifiying candidate # 10.167 * * * * [progress]: [ 38 / 82 ] simplifiying candidate # 10.167 * * * * [progress]: [ 39 / 82 ] simplifiying candidate # 10.167 * * * * [progress]: [ 40 / 82 ] simplifiying candidate # 10.167 * * * * [progress]: [ 41 / 82 ] simplifiying candidate # 10.167 * * * * [progress]: [ 42 / 82 ] simplifiying candidate # 10.167 * * * * [progress]: [ 43 / 82 ] simplifiying candidate # 10.167 * * * * [progress]: [ 44 / 82 ] simplifiying candidate # 10.168 * * * * [progress]: [ 45 / 82 ] simplifiying candidate # 10.168 * * * * [progress]: [ 46 / 82 ] simplifiying candidate # 10.168 * * * * [progress]: [ 47 / 82 ] simplifiying candidate # 10.168 * * * * [progress]: [ 48 / 82 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))))) (sqrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))))) (* (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))> 10.168 * * * * [progress]: [ 49 / 82 ] simplifiying candidate # 10.168 * * * * [progress]: [ 50 / 82 ] simplifiying candidate # 10.168 * * * * [progress]: [ 51 / 82 ] simplifiying candidate # 10.168 * * * * [progress]: [ 52 / 82 ] simplifiying candidate # 10.168 * * * * [progress]: [ 53 / 82 ] simplifiying candidate # 10.168 * * * * [progress]: [ 54 / 82 ] simplifiying candidate # 10.168 * * * * [progress]: [ 55 / 82 ] simplifiying candidate # 10.168 * * * * [progress]: [ 56 / 82 ] simplifiying candidate # 10.169 * * * * [progress]: [ 57 / 82 ] simplifiying candidate # 10.169 * * * * [progress]: [ 58 / 82 ] simplifiying candidate # 10.169 * * * * [progress]: [ 59 / 82 ] simplifiying candidate # 10.169 * * * * [progress]: [ 60 / 82 ] simplifiying candidate # 10.169 * * * * [progress]: [ 61 / 82 ] simplifiying candidate # 10.169 * * * * [progress]: [ 62 / 82 ] simplifiying candidate # 10.169 * * * * [progress]: [ 63 / 82 ] simplifiying candidate # 10.169 * * * * [progress]: [ 64 / 82 ] simplifiying candidate # 10.169 * * * * [progress]: [ 65 / 82 ] simplifiying candidate # 10.169 * * * * [progress]: [ 66 / 82 ] simplifiying candidate # 10.169 * * * * [progress]: [ 67 / 82 ] simplifiying candidate # 10.169 * * * * [progress]: [ 68 / 82 ] simplifiying candidate # 10.170 * * * * [progress]: [ 69 / 82 ] simplifiying candidate # 10.170 * * * * [progress]: [ 70 / 82 ] simplifiying candidate #real (real->posit16 (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))> 10.170 * * * * [progress]: [ 71 / 82 ] simplifiying candidate # 10.170 * * * * [progress]: [ 72 / 82 ] simplifiying candidate # 10.170 * * * * [progress]: [ 73 / 82 ] simplifiying candidate # 10.170 * * * * [progress]: [ 74 / 82 ] simplifiying candidate # 10.170 * * * * [progress]: [ 75 / 82 ] simplifiying candidate # 10.170 * * * * [progress]: [ 76 / 82 ] simplifiying candidate # 10.170 * * * * [progress]: [ 77 / 82 ] simplifiying candidate # 10.170 * * * * [progress]: [ 78 / 82 ] simplifiying candidate # 10.170 * * * * [progress]: [ 79 / 82 ] simplifiying candidate # 10.170 * * * * [progress]: [ 80 / 82 ] simplifiying candidate # 10.170 * * * * [progress]: [ 81 / 82 ] simplifiying candidate # 10.170 * * * * [progress]: [ 82 / 82 ] simplifiying candidate # 10.172 * [simplify]: Simplifying (log (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (exp (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (* (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (* (* (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt (* (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (sqrt (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt 1), (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)), (sqrt (+ (pow (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 3) (pow 1 3))), (sqrt (+ (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (sqrt (- (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2)))))) (* 1 1))), (sqrt (- (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)), (/ 1 2), (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (real->posit16 (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (log (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (exp (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (* (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (* (* (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt (* (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (sqrt (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt 1), (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)), (sqrt (+ (pow (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 3) (pow 1 3))), (sqrt (+ (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (sqrt (- (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2)))))) (* 1 1))), (sqrt (- (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)), (/ 1 2), (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (real->posit16 (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (log (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (exp (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (* (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (* (* (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt (* (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (sqrt (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt 1), (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)), (sqrt (+ (pow (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 3) (pow 1 3))), (sqrt (+ (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (sqrt (- (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2)))))) (* 1 1))), (sqrt (- (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)), (/ 1 2), (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (real->posit16 (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (log (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (exp (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (* (cbrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (cbrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))))), (cbrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (* (* (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (sqrt (* (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))))), (sqrt (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (sqrt (sqrt (* (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))))), (sqrt (sqrt (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (sqrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (sqrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (sqrt (sqrt 1)), (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (sqrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (sqrt 1), (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt (sqrt (+ (pow (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 3) (pow 1 3)))), (sqrt (sqrt (+ (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))))), (sqrt (sqrt (- (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2)))))) (* 1 1)))), (sqrt (sqrt (- (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (/ 1/2 2), (/ 1 2), (/ (/ 1 2) 2), (sqrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (sqrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (real->posit16 (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), 1, (* 1/2 (/ U (* (cos (* 1/2 K)) J))), (* 1/2 (/ U (* (cos (* 1/2 K)) J))), 1, (* 1/2 (/ U (* (cos (* 1/2 K)) J))), (* 1/2 (/ U (* (cos (* 1/2 K)) J))), 1, (* 1/2 (/ U (* (cos (* 1/2 K)) J))), (* 1/2 (/ U (* (cos (* 1/2 K)) J))), 1, (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))), (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 10.176 * * [simplify]: iteration 1: (92 enodes) 10.232 * * [simplify]: iteration 2: (348 enodes) 10.322 * * [simplify]: iteration 3: (702 enodes) 10.599 * * [simplify]: Extracting #0: cost 35 inf + 0 10.599 * * [simplify]: Extracting #1: cost 136 inf + 3 10.601 * * [simplify]: Extracting #2: cost 350 inf + 347 10.603 * * [simplify]: Extracting #3: cost 646 inf + 1862 10.611 * * [simplify]: Extracting #4: cost 617 inf + 33741 10.637 * * [simplify]: Extracting #5: cost 355 inf + 112590 10.674 * * [simplify]: Extracting #6: cost 160 inf + 181488 10.763 * * [simplify]: Extracting #7: cost 22 inf + 235390 10.853 * * [simplify]: Extracting #8: cost 0 inf + 245666 10.921 * [simplify]: Simplified to (log (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (exp (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (* (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1)))), (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (* (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1) (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (fabs (cbrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (sqrt (cbrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), 1, (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1)), (sqrt (+ (* (* (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (* (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (/ (/ U (+ J J)) (cos (* 1/2 K))))) 1)), (sqrt (+ (* (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K))))) (- 1 (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K))))))), (sqrt (+ -1 (* (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K))))))), (sqrt (+ -1 (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))))), 1/2, (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (real->posit16 (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (log (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (exp (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (* (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1)))), (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (* (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1) (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (fabs (cbrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (sqrt (cbrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), 1, (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1)), (sqrt (+ (* (* (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (* (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (/ (/ U (+ J J)) (cos (* 1/2 K))))) 1)), (sqrt (+ (* (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K))))) (- 1 (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K))))))), (sqrt (+ -1 (* (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K))))))), (sqrt (+ -1 (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))))), 1/2, (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (real->posit16 (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (log (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (exp (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (* (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1)))), (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (* (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1) (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (fabs (cbrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (sqrt (cbrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), 1, (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1)), (sqrt (+ (* (* (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (* (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (/ (/ U (+ J J)) (cos (* 1/2 K))))) 1)), (sqrt (+ (* (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K))))) (- 1 (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K))))))), (sqrt (+ -1 (* (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K))))))), (sqrt (+ -1 (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))))), 1/2, (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (real->posit16 (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (log (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1)))), (exp (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1)))), (* (cbrt (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1)))) (cbrt (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))))), (cbrt (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1)))), (* (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))) (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (fabs (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1)))), (sqrt (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1)))), (sqrt (fabs (cbrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1)))), (sqrt (sqrt (cbrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1)))), (sqrt (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1)))), (sqrt (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1)))), 1, (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (sqrt (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1)))), (sqrt (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1)))), 1, (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1))), (sqrt (sqrt (+ (* (* (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (* (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (/ (/ U (+ J J)) (cos (* 1/2 K))))) 1))), (sqrt (sqrt (+ (* (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K))))) (- 1 (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))))))), (sqrt (sqrt (+ -1 (* (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))))))), (sqrt (sqrt (+ -1 (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K))))))), 1/4, 1/2, 1/4, (sqrt (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1)))), (sqrt (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1)))), (real->posit16 (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* 1/2 K))) (/ (/ U (+ J J)) (cos (* 1/2 K)))) 1)))), 1, (* (/ 1/2 (* (cos (* 1/2 K)) J)) U), (* (/ 1/2 (* (cos (* 1/2 K)) J)) U), 1, (* (/ 1/2 (* (cos (* 1/2 K)) J)) U), (* (/ 1/2 (* (cos (* 1/2 K)) J)) U), 1, (* (/ 1/2 (* (cos (* 1/2 K)) J)) U), (* (/ 1/2 (* (cos (* 1/2 K)) J)) U), 1, (exp (+ (* 1/2 (+ (- (log J)) (log U))) (* 1/4 (log (/ (/ 1/4 (cos (* 1/2 K))) (cos (* 1/2 K))))))), (exp (+ (* (log (/ (/ 1/4 (cos (* 1/2 K))) (cos (* 1/2 K)))) 1/4) (* 1/2 (- (log (/ -1 J)) (log (/ -1 U)))))) 10.939 * * * [progress]: adding candidates to table 12.672 * * [progress]: iteration 4 / 4 12.672 * * * [progress]: picking best candidate 12.716 * * * * [pick]: Picked # 12.716 * * * [progress]: localizing error 12.799 * * * [progress]: generating rewritten candidates 12.799 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 12.918 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 13.002 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 13.075 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 13.113 * * * [progress]: generating series expansions 13.113 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 13.114 * [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)) 13.114 * [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 13.114 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 13.114 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 13.114 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 13.114 * [taylor]: Taking taylor expansion of 1/4 in K 13.114 * [backup-simplify]: Simplify 1/4 into 1/4 13.114 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 13.114 * [taylor]: Taking taylor expansion of (pow U 2) in K 13.114 * [taylor]: Taking taylor expansion of U in K 13.114 * [backup-simplify]: Simplify U into U 13.114 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 13.114 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 13.114 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 13.114 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 13.114 * [taylor]: Taking taylor expansion of 1/2 in K 13.114 * [backup-simplify]: Simplify 1/2 into 1/2 13.114 * [taylor]: Taking taylor expansion of K in K 13.114 * [backup-simplify]: Simplify 0 into 0 13.114 * [backup-simplify]: Simplify 1 into 1 13.115 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.116 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 13.116 * [taylor]: Taking taylor expansion of (pow J 2) in K 13.116 * [taylor]: Taking taylor expansion of J in K 13.116 * [backup-simplify]: Simplify J into J 13.116 * [backup-simplify]: Simplify (* U U) into (pow U 2) 13.117 * [backup-simplify]: Simplify (* 1 1) into 1 13.117 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.117 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 13.117 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 13.117 * [taylor]: Taking taylor expansion of 1 in K 13.117 * [backup-simplify]: Simplify 1 into 1 13.117 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 13.117 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 13.118 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 13.118 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 13.118 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 13.118 * [backup-simplify]: Simplify (+ 0) into 0 13.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 13.120 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 13.120 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 13.121 * [backup-simplify]: Simplify (+ 0 0) into 0 13.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 13.121 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 13.121 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 13.121 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 13.121 * [taylor]: Taking taylor expansion of 1/4 in J 13.121 * [backup-simplify]: Simplify 1/4 into 1/4 13.121 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 13.121 * [taylor]: Taking taylor expansion of (pow U 2) in J 13.121 * [taylor]: Taking taylor expansion of U in J 13.121 * [backup-simplify]: Simplify U into U 13.121 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 13.121 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 13.121 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 13.121 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 13.121 * [taylor]: Taking taylor expansion of 1/2 in J 13.121 * [backup-simplify]: Simplify 1/2 into 1/2 13.121 * [taylor]: Taking taylor expansion of K in J 13.122 * [backup-simplify]: Simplify K into K 13.122 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 13.122 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 13.122 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 13.122 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 13.122 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 13.122 * [backup-simplify]: Simplify (- 0) into 0 13.122 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 13.122 * [taylor]: Taking taylor expansion of (pow J 2) in J 13.122 * [taylor]: Taking taylor expansion of J in J 13.122 * [backup-simplify]: Simplify 0 into 0 13.123 * [backup-simplify]: Simplify 1 into 1 13.123 * [backup-simplify]: Simplify (* U U) into (pow U 2) 13.123 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 13.123 * [backup-simplify]: Simplify (* 1 1) into 1 13.123 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 13.123 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 13.123 * [taylor]: Taking taylor expansion of 1 in J 13.123 * [backup-simplify]: Simplify 1 into 1 13.124 * [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))) 13.124 * [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))) 13.124 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 13.124 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 13.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.125 * [backup-simplify]: Simplify (+ 0) into 0 13.126 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 13.126 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 13.127 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.128 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 13.128 * [backup-simplify]: Simplify (- 0) into 0 13.128 * [backup-simplify]: Simplify (+ 0 0) into 0 13.128 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 13.129 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 13.129 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 13.130 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 13.130 * [backup-simplify]: Simplify (+ 0 0) into 0 13.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 13.131 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 13.131 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 13.131 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 13.131 * [taylor]: Taking taylor expansion of 1/4 in U 13.131 * [backup-simplify]: Simplify 1/4 into 1/4 13.131 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 13.131 * [taylor]: Taking taylor expansion of (pow U 2) in U 13.131 * [taylor]: Taking taylor expansion of U in U 13.131 * [backup-simplify]: Simplify 0 into 0 13.131 * [backup-simplify]: Simplify 1 into 1 13.131 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 13.131 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 13.131 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 13.131 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 13.131 * [taylor]: Taking taylor expansion of 1/2 in U 13.131 * [backup-simplify]: Simplify 1/2 into 1/2 13.131 * [taylor]: Taking taylor expansion of K in U 13.131 * [backup-simplify]: Simplify K into K 13.131 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 13.131 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 13.131 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 13.132 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 13.132 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 13.132 * [backup-simplify]: Simplify (- 0) into 0 13.132 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 13.132 * [taylor]: Taking taylor expansion of (pow J 2) in U 13.132 * [taylor]: Taking taylor expansion of J in U 13.132 * [backup-simplify]: Simplify J into J 13.133 * [backup-simplify]: Simplify (* 1 1) into 1 13.133 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 13.133 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.133 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 13.133 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 13.133 * [taylor]: Taking taylor expansion of 1 in U 13.133 * [backup-simplify]: Simplify 1 into 1 13.134 * [backup-simplify]: Simplify (+ 0 1) into 1 13.134 * [backup-simplify]: Simplify (sqrt 1) into 1 13.134 * [backup-simplify]: Simplify (+ 0 0) into 0 13.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.135 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 13.135 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 13.135 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 13.135 * [taylor]: Taking taylor expansion of 1/4 in U 13.135 * [backup-simplify]: Simplify 1/4 into 1/4 13.135 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 13.135 * [taylor]: Taking taylor expansion of (pow U 2) in U 13.135 * [taylor]: Taking taylor expansion of U in U 13.135 * [backup-simplify]: Simplify 0 into 0 13.135 * [backup-simplify]: Simplify 1 into 1 13.135 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 13.135 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 13.135 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 13.135 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 13.135 * [taylor]: Taking taylor expansion of 1/2 in U 13.136 * [backup-simplify]: Simplify 1/2 into 1/2 13.136 * [taylor]: Taking taylor expansion of K in U 13.136 * [backup-simplify]: Simplify K into K 13.136 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 13.136 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 13.136 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 13.136 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 13.136 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 13.136 * [backup-simplify]: Simplify (- 0) into 0 13.136 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 13.136 * [taylor]: Taking taylor expansion of (pow J 2) in U 13.136 * [taylor]: Taking taylor expansion of J in U 13.136 * [backup-simplify]: Simplify J into J 13.137 * [backup-simplify]: Simplify (* 1 1) into 1 13.137 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 13.137 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.137 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 13.137 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 13.137 * [taylor]: Taking taylor expansion of 1 in U 13.137 * [backup-simplify]: Simplify 1 into 1 13.138 * [backup-simplify]: Simplify (+ 0 1) into 1 13.138 * [backup-simplify]: Simplify (sqrt 1) into 1 13.138 * [backup-simplify]: Simplify (+ 0 0) into 0 13.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.139 * [taylor]: Taking taylor expansion of 1 in J 13.139 * [backup-simplify]: Simplify 1 into 1 13.139 * [taylor]: Taking taylor expansion of 0 in J 13.139 * [backup-simplify]: Simplify 0 into 0 13.139 * [taylor]: Taking taylor expansion of 1 in K 13.139 * [backup-simplify]: Simplify 1 into 1 13.139 * [backup-simplify]: Simplify 1 into 1 13.140 * [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))) 13.140 * [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)))) 13.141 * [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))) 13.141 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 13.141 * [taylor]: Taking taylor expansion of 1/8 in J 13.141 * [backup-simplify]: Simplify 1/8 into 1/8 13.141 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 13.142 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 13.142 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 13.142 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 13.142 * [taylor]: Taking taylor expansion of 1/2 in J 13.142 * [backup-simplify]: Simplify 1/2 into 1/2 13.142 * [taylor]: Taking taylor expansion of K in J 13.142 * [backup-simplify]: Simplify K into K 13.142 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 13.142 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 13.142 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 13.142 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 13.142 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 13.142 * [backup-simplify]: Simplify (- 0) into 0 13.142 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 13.142 * [taylor]: Taking taylor expansion of (pow J 2) in J 13.142 * [taylor]: Taking taylor expansion of J in J 13.142 * [backup-simplify]: Simplify 0 into 0 13.143 * [backup-simplify]: Simplify 1 into 1 13.143 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 13.143 * [backup-simplify]: Simplify (* 1 1) into 1 13.143 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 13.143 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 13.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.144 * [backup-simplify]: Simplify (+ 0) into 0 13.145 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 13.145 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 13.146 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.146 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 13.147 * [backup-simplify]: Simplify (- 0) into 0 13.147 * [backup-simplify]: Simplify (+ 0 0) into 0 13.147 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 13.148 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 13.148 * [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 13.148 * [taylor]: Taking taylor expansion of 0 in K 13.148 * [backup-simplify]: Simplify 0 into 0 13.148 * [backup-simplify]: Simplify 0 into 0 13.148 * [taylor]: Taking taylor expansion of 0 in K 13.148 * [backup-simplify]: Simplify 0 into 0 13.148 * [backup-simplify]: Simplify 0 into 0 13.148 * [taylor]: Taking taylor expansion of 0 in K 13.148 * [backup-simplify]: Simplify 0 into 0 13.148 * [backup-simplify]: Simplify 0 into 0 13.148 * [backup-simplify]: Simplify 0 into 0 13.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.149 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 13.150 * [backup-simplify]: Simplify (+ 0) into 0 13.150 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 13.151 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 13.152 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.152 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 13.152 * [backup-simplify]: Simplify (- 0) into 0 13.153 * [backup-simplify]: Simplify (+ 0 0) into 0 13.153 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 13.153 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 13.154 * [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 13.154 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 13.154 * [backup-simplify]: Simplify (+ 0 0) into 0 13.155 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 13.155 * [taylor]: Taking taylor expansion of 0 in J 13.155 * [backup-simplify]: Simplify 0 into 0 13.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.156 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.156 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.157 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 13.157 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.158 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.158 * [backup-simplify]: Simplify (- 0) into 0 13.158 * [backup-simplify]: Simplify (+ 0 0) into 0 13.159 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 13.159 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 13.159 * [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 13.159 * [taylor]: Taking taylor expansion of 0 in K 13.159 * [backup-simplify]: Simplify 0 into 0 13.159 * [backup-simplify]: Simplify 0 into 0 13.159 * [taylor]: Taking taylor expansion of 0 in K 13.159 * [backup-simplify]: Simplify 0 into 0 13.159 * [backup-simplify]: Simplify 0 into 0 13.159 * [backup-simplify]: Simplify 1 into 1 13.160 * [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)) 13.160 * [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 13.160 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 13.160 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 13.160 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 13.160 * [taylor]: Taking taylor expansion of 1/4 in K 13.160 * [backup-simplify]: Simplify 1/4 into 1/4 13.160 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 13.160 * [taylor]: Taking taylor expansion of (pow J 2) in K 13.160 * [taylor]: Taking taylor expansion of J in K 13.160 * [backup-simplify]: Simplify J into J 13.160 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 13.160 * [taylor]: Taking taylor expansion of (pow U 2) in K 13.160 * [taylor]: Taking taylor expansion of U in K 13.160 * [backup-simplify]: Simplify U into U 13.160 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 13.160 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 13.160 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 13.160 * [taylor]: Taking taylor expansion of 1/2 in K 13.160 * [backup-simplify]: Simplify 1/2 into 1/2 13.160 * [taylor]: Taking taylor expansion of K in K 13.160 * [backup-simplify]: Simplify 0 into 0 13.160 * [backup-simplify]: Simplify 1 into 1 13.160 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.161 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.161 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.161 * [backup-simplify]: Simplify (* U U) into (pow U 2) 13.161 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 13.161 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 13.161 * [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))) 13.161 * [taylor]: Taking taylor expansion of 1 in K 13.161 * [backup-simplify]: Simplify 1 into 1 13.161 * [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)))) 13.161 * [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) 13.162 * [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)) 13.162 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 13.162 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 13.162 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 13.162 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 13.162 * [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 13.163 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 13.163 * [backup-simplify]: Simplify (+ 0 0) into 0 13.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 13.163 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 13.163 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 13.163 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 13.163 * [taylor]: Taking taylor expansion of 1/4 in J 13.163 * [backup-simplify]: Simplify 1/4 into 1/4 13.163 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 13.163 * [taylor]: Taking taylor expansion of (pow J 2) in J 13.163 * [taylor]: Taking taylor expansion of J in J 13.163 * [backup-simplify]: Simplify 0 into 0 13.163 * [backup-simplify]: Simplify 1 into 1 13.163 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 13.163 * [taylor]: Taking taylor expansion of (pow U 2) in J 13.163 * [taylor]: Taking taylor expansion of U in J 13.163 * [backup-simplify]: Simplify U into U 13.163 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 13.163 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 13.163 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 13.163 * [taylor]: Taking taylor expansion of 1/2 in J 13.163 * [backup-simplify]: Simplify 1/2 into 1/2 13.163 * [taylor]: Taking taylor expansion of K in J 13.163 * [backup-simplify]: Simplify K into K 13.163 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.164 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.164 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 13.164 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.164 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 13.164 * [backup-simplify]: Simplify (- 0) into 0 13.164 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 13.164 * [backup-simplify]: Simplify (* 1 1) into 1 13.164 * [backup-simplify]: Simplify (* U U) into (pow U 2) 13.164 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 13.164 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 13.165 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 13.165 * [taylor]: Taking taylor expansion of 1 in J 13.165 * [backup-simplify]: Simplify 1 into 1 13.165 * [backup-simplify]: Simplify (+ 0 1) into 1 13.165 * [backup-simplify]: Simplify (sqrt 1) into 1 13.165 * [backup-simplify]: Simplify (+ 0 0) into 0 13.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.166 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 13.166 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 13.166 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 13.166 * [taylor]: Taking taylor expansion of 1/4 in U 13.166 * [backup-simplify]: Simplify 1/4 into 1/4 13.166 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 13.166 * [taylor]: Taking taylor expansion of (pow J 2) in U 13.166 * [taylor]: Taking taylor expansion of J in U 13.166 * [backup-simplify]: Simplify J into J 13.166 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 13.166 * [taylor]: Taking taylor expansion of (pow U 2) in U 13.166 * [taylor]: Taking taylor expansion of U in U 13.166 * [backup-simplify]: Simplify 0 into 0 13.166 * [backup-simplify]: Simplify 1 into 1 13.166 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 13.166 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 13.166 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 13.166 * [taylor]: Taking taylor expansion of 1/2 in U 13.166 * [backup-simplify]: Simplify 1/2 into 1/2 13.166 * [taylor]: Taking taylor expansion of K in U 13.166 * [backup-simplify]: Simplify K into K 13.166 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.166 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.166 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 13.166 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.166 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 13.167 * [backup-simplify]: Simplify (- 0) into 0 13.167 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 13.167 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.167 * [backup-simplify]: Simplify (* 1 1) into 1 13.167 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 13.167 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 13.167 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 13.167 * [taylor]: Taking taylor expansion of 1 in U 13.167 * [backup-simplify]: Simplify 1 into 1 13.167 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 13.168 * [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))) 13.168 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 13.168 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 13.168 * [backup-simplify]: Simplify (+ 0) into 0 13.168 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 13.168 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 13.169 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.169 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 13.169 * [backup-simplify]: Simplify (- 0) into 0 13.170 * [backup-simplify]: Simplify (+ 0 0) into 0 13.170 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 13.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 13.171 * [backup-simplify]: 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 13.171 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 13.172 * [backup-simplify]: Simplify (+ 0 0) into 0 13.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 13.172 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 13.172 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 13.172 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 13.172 * [taylor]: Taking taylor expansion of 1/4 in U 13.172 * [backup-simplify]: Simplify 1/4 into 1/4 13.172 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 13.172 * [taylor]: Taking taylor expansion of (pow J 2) in U 13.172 * [taylor]: Taking taylor expansion of J in U 13.172 * [backup-simplify]: Simplify J into J 13.172 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 13.172 * [taylor]: Taking taylor expansion of (pow U 2) in U 13.172 * [taylor]: Taking taylor expansion of U in U 13.172 * [backup-simplify]: Simplify 0 into 0 13.172 * [backup-simplify]: Simplify 1 into 1 13.172 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 13.172 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 13.172 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 13.172 * [taylor]: Taking taylor expansion of 1/2 in U 13.172 * [backup-simplify]: Simplify 1/2 into 1/2 13.172 * [taylor]: Taking taylor expansion of K in U 13.172 * [backup-simplify]: Simplify K into K 13.172 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.172 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.172 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 13.172 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.172 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 13.173 * [backup-simplify]: Simplify (- 0) into 0 13.173 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 13.173 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.173 * [backup-simplify]: Simplify (* 1 1) into 1 13.173 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 13.173 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 13.173 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 13.173 * [taylor]: Taking taylor expansion of 1 in U 13.173 * [backup-simplify]: Simplify 1 into 1 13.174 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 13.174 * [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))) 13.174 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 13.174 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 13.174 * [backup-simplify]: Simplify (+ 0) into 0 13.175 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 13.175 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 13.175 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.175 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 13.176 * [backup-simplify]: Simplify (- 0) into 0 13.176 * [backup-simplify]: Simplify (+ 0 0) into 0 13.176 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 13.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 13.177 * [backup-simplify]: 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 13.177 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 13.178 * [backup-simplify]: Simplify (+ 0 0) into 0 13.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 13.178 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 13.178 * [taylor]: Taking taylor expansion of 1/2 in J 13.178 * [backup-simplify]: Simplify 1/2 into 1/2 13.178 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 13.178 * [taylor]: Taking taylor expansion of J in J 13.178 * [backup-simplify]: Simplify 0 into 0 13.178 * [backup-simplify]: Simplify 1 into 1 13.178 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 13.178 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 13.178 * [taylor]: Taking taylor expansion of 1/2 in J 13.178 * [backup-simplify]: Simplify 1/2 into 1/2 13.178 * [taylor]: Taking taylor expansion of K in J 13.178 * [backup-simplify]: Simplify K into K 13.178 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.178 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.178 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 13.178 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.178 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 13.178 * [backup-simplify]: Simplify (- 0) into 0 13.179 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 13.179 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 13.179 * [taylor]: Taking taylor expansion of 0 in J 13.179 * [backup-simplify]: Simplify 0 into 0 13.179 * [taylor]: Taking taylor expansion of 0 in K 13.179 * [backup-simplify]: Simplify 0 into 0 13.179 * [backup-simplify]: Simplify 0 into 0 13.179 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 13.179 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 13.179 * [taylor]: Taking taylor expansion of 1/2 in K 13.179 * [backup-simplify]: Simplify 1/2 into 1/2 13.179 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 13.179 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 13.179 * [taylor]: Taking taylor expansion of 1/2 in K 13.179 * [backup-simplify]: Simplify 1/2 into 1/2 13.179 * [taylor]: Taking taylor expansion of K in K 13.179 * [backup-simplify]: Simplify 0 into 0 13.179 * [backup-simplify]: Simplify 1 into 1 13.179 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.179 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.179 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 13.179 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 13.180 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 13.180 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.181 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.181 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.182 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.182 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.182 * [backup-simplify]: Simplify (- 0) into 0 13.182 * [backup-simplify]: Simplify (+ 0 0) into 0 13.183 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 13.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 13.184 * [backup-simplify]: 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 13.185 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 13.185 * [backup-simplify]: Simplify (+ 0 1) into 1 13.185 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 13.185 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 13.185 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 13.185 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 13.186 * [taylor]: Taking taylor expansion of 1/2 in J 13.186 * [backup-simplify]: Simplify 1/2 into 1/2 13.186 * [taylor]: Taking taylor expansion of K in J 13.186 * [backup-simplify]: Simplify K into K 13.186 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.186 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.186 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 13.186 * [taylor]: Taking taylor expansion of J in J 13.186 * [backup-simplify]: Simplify 0 into 0 13.186 * [backup-simplify]: Simplify 1 into 1 13.186 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.186 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 13.186 * [backup-simplify]: Simplify (- 0) into 0 13.186 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 13.186 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.186 * [backup-simplify]: Simplify (+ 0) into 0 13.187 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 13.187 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 13.187 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.188 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 13.188 * [backup-simplify]: Simplify (- 0) into 0 13.188 * [backup-simplify]: Simplify (+ 0 0) into 0 13.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 13.189 * [taylor]: Taking taylor expansion of 0 in K 13.189 * [backup-simplify]: Simplify 0 into 0 13.189 * [backup-simplify]: Simplify 0 into 0 13.189 * [taylor]: Taking taylor expansion of 0 in K 13.189 * [backup-simplify]: Simplify 0 into 0 13.189 * [backup-simplify]: Simplify 0 into 0 13.189 * [backup-simplify]: Simplify (+ 0) into 0 13.189 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 13.189 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 13.190 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.190 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 13.191 * [backup-simplify]: Simplify (- 0) into 0 13.191 * [backup-simplify]: Simplify (+ 0 0) into 0 13.191 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 13.191 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 13.191 * [taylor]: Taking taylor expansion of 0 in K 13.191 * [backup-simplify]: Simplify 0 into 0 13.191 * [backup-simplify]: Simplify 0 into 0 13.191 * [backup-simplify]: Simplify 0 into 0 13.191 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 13.192 * [backup-simplify]: Simplify 0 into 0 13.192 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 13.196 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 13.197 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.197 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.198 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 13.199 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 13.199 * [backup-simplify]: Simplify (- 0) into 0 13.199 * [backup-simplify]: Simplify (+ 0 0) into 0 13.200 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 13.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 13.202 * [backup-simplify]: 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 13.202 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 13.203 * [backup-simplify]: Simplify (+ 0 0) into 0 13.203 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 13.203 * [taylor]: Taking taylor expansion of 0 in J 13.203 * [backup-simplify]: Simplify 0 into 0 13.203 * [taylor]: Taking taylor expansion of 0 in K 13.203 * [backup-simplify]: Simplify 0 into 0 13.203 * [backup-simplify]: Simplify 0 into 0 13.204 * [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))) 13.204 * [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)))))) 13.204 * [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 13.204 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 13.204 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 13.204 * [taylor]: Taking taylor expansion of 1 in K 13.204 * [backup-simplify]: Simplify 1 into 1 13.204 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 13.204 * [taylor]: Taking taylor expansion of 1/4 in K 13.204 * [backup-simplify]: Simplify 1/4 into 1/4 13.204 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 13.204 * [taylor]: Taking taylor expansion of (pow J 2) in K 13.204 * [taylor]: Taking taylor expansion of J in K 13.204 * [backup-simplify]: Simplify J into J 13.204 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 13.204 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 13.204 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 13.204 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 13.204 * [taylor]: Taking taylor expansion of -1/2 in K 13.204 * [backup-simplify]: Simplify -1/2 into -1/2 13.204 * [taylor]: Taking taylor expansion of K in K 13.204 * [backup-simplify]: Simplify 0 into 0 13.204 * [backup-simplify]: Simplify 1 into 1 13.205 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 13.205 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.205 * [taylor]: Taking taylor expansion of (pow U 2) in K 13.205 * [taylor]: Taking taylor expansion of U in K 13.205 * [backup-simplify]: Simplify U into U 13.205 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.205 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 13.205 * [backup-simplify]: Simplify (* U U) into (pow U 2) 13.205 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 13.205 * [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))) 13.205 * [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)))) 13.206 * [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))))) 13.206 * [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)))))) 13.206 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 13.206 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 13.206 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 13.206 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 13.206 * [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 13.207 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 13.207 * [backup-simplify]: Simplify (+ 0 0) into 0 13.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 13.207 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 13.207 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 13.208 * [taylor]: Taking taylor expansion of 1 in J 13.208 * [backup-simplify]: Simplify 1 into 1 13.208 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 13.208 * [taylor]: Taking taylor expansion of 1/4 in J 13.208 * [backup-simplify]: Simplify 1/4 into 1/4 13.208 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 13.208 * [taylor]: Taking taylor expansion of (pow J 2) in J 13.208 * [taylor]: Taking taylor expansion of J in J 13.208 * [backup-simplify]: Simplify 0 into 0 13.208 * [backup-simplify]: Simplify 1 into 1 13.208 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 13.208 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 13.208 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 13.208 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 13.208 * [taylor]: Taking taylor expansion of -1/2 in J 13.208 * [backup-simplify]: Simplify -1/2 into -1/2 13.208 * [taylor]: Taking taylor expansion of K in J 13.208 * [backup-simplify]: Simplify K into K 13.208 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 13.208 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.208 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 13.208 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.208 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 13.208 * [backup-simplify]: Simplify (- 0) into 0 13.208 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 13.208 * [taylor]: Taking taylor expansion of (pow U 2) in J 13.208 * [taylor]: Taking taylor expansion of U in J 13.208 * [backup-simplify]: Simplify U into U 13.209 * [backup-simplify]: Simplify (* 1 1) into 1 13.209 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 13.209 * [backup-simplify]: Simplify (* U U) into (pow U 2) 13.209 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 13.209 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 13.209 * [backup-simplify]: Simplify (+ 1 0) into 1 13.209 * [backup-simplify]: Simplify (sqrt 1) into 1 13.210 * [backup-simplify]: Simplify (+ 0 0) into 0 13.210 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.210 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 13.210 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 13.210 * [taylor]: Taking taylor expansion of 1 in U 13.210 * [backup-simplify]: Simplify 1 into 1 13.210 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 13.210 * [taylor]: Taking taylor expansion of 1/4 in U 13.210 * [backup-simplify]: Simplify 1/4 into 1/4 13.210 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 13.210 * [taylor]: Taking taylor expansion of (pow J 2) in U 13.210 * [taylor]: Taking taylor expansion of J in U 13.210 * [backup-simplify]: Simplify J into J 13.210 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 13.210 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 13.210 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 13.210 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 13.210 * [taylor]: Taking taylor expansion of -1/2 in U 13.210 * [backup-simplify]: Simplify -1/2 into -1/2 13.210 * [taylor]: Taking taylor expansion of K in U 13.210 * [backup-simplify]: Simplify K into K 13.211 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 13.211 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.211 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 13.211 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.211 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 13.211 * [backup-simplify]: Simplify (- 0) into 0 13.211 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 13.211 * [taylor]: Taking taylor expansion of (pow U 2) in U 13.211 * [taylor]: Taking taylor expansion of U in U 13.211 * [backup-simplify]: Simplify 0 into 0 13.211 * [backup-simplify]: Simplify 1 into 1 13.211 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.211 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 13.212 * [backup-simplify]: Simplify (* 1 1) into 1 13.212 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 13.212 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 13.212 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 13.212 * [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))) 13.212 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 13.212 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 13.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.213 * [backup-simplify]: Simplify (+ 0) into 0 13.213 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 13.213 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 13.214 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.214 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 13.214 * [backup-simplify]: Simplify (- 0) into 0 13.214 * [backup-simplify]: Simplify (+ 0 0) into 0 13.215 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 13.215 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 13.215 * [backup-simplify]: 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 13.215 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 13.216 * [backup-simplify]: Simplify (+ 0 0) into 0 13.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 13.216 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 13.216 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 13.216 * [taylor]: Taking taylor expansion of 1 in U 13.216 * [backup-simplify]: Simplify 1 into 1 13.216 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 13.216 * [taylor]: Taking taylor expansion of 1/4 in U 13.216 * [backup-simplify]: Simplify 1/4 into 1/4 13.216 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 13.216 * [taylor]: Taking taylor expansion of (pow J 2) in U 13.216 * [taylor]: Taking taylor expansion of J in U 13.216 * [backup-simplify]: Simplify J into J 13.216 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 13.216 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 13.216 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 13.216 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 13.216 * [taylor]: Taking taylor expansion of -1/2 in U 13.216 * [backup-simplify]: Simplify -1/2 into -1/2 13.216 * [taylor]: Taking taylor expansion of K in U 13.216 * [backup-simplify]: Simplify K into K 13.216 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 13.216 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.216 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 13.216 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.216 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 13.217 * [backup-simplify]: Simplify (- 0) into 0 13.217 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 13.217 * [taylor]: Taking taylor expansion of (pow U 2) in U 13.217 * [taylor]: Taking taylor expansion of U in U 13.217 * [backup-simplify]: Simplify 0 into 0 13.217 * [backup-simplify]: Simplify 1 into 1 13.217 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.217 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 13.217 * [backup-simplify]: Simplify (* 1 1) into 1 13.217 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 13.217 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 13.217 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 13.218 * [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))) 13.218 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 13.218 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 13.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.218 * [backup-simplify]: Simplify (+ 0) into 0 13.219 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 13.219 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 13.219 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.220 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 13.220 * [backup-simplify]: Simplify (- 0) into 0 13.220 * [backup-simplify]: Simplify (+ 0 0) into 0 13.220 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 13.221 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 13.221 * [backup-simplify]: 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 13.221 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 13.221 * [backup-simplify]: Simplify (+ 0 0) into 0 13.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 13.222 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 13.222 * [taylor]: Taking taylor expansion of 1/2 in J 13.222 * [backup-simplify]: Simplify 1/2 into 1/2 13.222 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 13.222 * [taylor]: Taking taylor expansion of J in J 13.222 * [backup-simplify]: Simplify 0 into 0 13.222 * [backup-simplify]: Simplify 1 into 1 13.222 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 13.222 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 13.222 * [taylor]: Taking taylor expansion of -1/2 in J 13.222 * [backup-simplify]: Simplify -1/2 into -1/2 13.222 * [taylor]: Taking taylor expansion of K in J 13.222 * [backup-simplify]: Simplify K into K 13.222 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 13.222 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.222 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 13.222 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.222 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 13.222 * [backup-simplify]: Simplify (- 0) into 0 13.222 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 13.222 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 13.223 * [taylor]: Taking taylor expansion of 0 in J 13.223 * [backup-simplify]: Simplify 0 into 0 13.223 * [taylor]: Taking taylor expansion of 0 in K 13.223 * [backup-simplify]: Simplify 0 into 0 13.223 * [backup-simplify]: Simplify 0 into 0 13.223 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 13.223 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 13.223 * [taylor]: Taking taylor expansion of 1/2 in K 13.223 * [backup-simplify]: Simplify 1/2 into 1/2 13.223 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 13.223 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 13.223 * [taylor]: Taking taylor expansion of -1/2 in K 13.223 * [backup-simplify]: Simplify -1/2 into -1/2 13.223 * [taylor]: Taking taylor expansion of K in K 13.223 * [backup-simplify]: Simplify 0 into 0 13.223 * [backup-simplify]: Simplify 1 into 1 13.223 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 13.223 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.223 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 13.223 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 13.224 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 13.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.225 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.225 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.225 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.226 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.226 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.226 * [backup-simplify]: Simplify (- 0) into 0 13.227 * [backup-simplify]: Simplify (+ 0 0) into 0 13.227 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 13.227 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 13.228 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 13.228 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 13.228 * [backup-simplify]: Simplify (+ 1 0) into 1 13.229 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 13.229 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 13.229 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 13.229 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 13.229 * [taylor]: Taking taylor expansion of -1/2 in J 13.229 * [backup-simplify]: Simplify -1/2 into -1/2 13.229 * [taylor]: Taking taylor expansion of K in J 13.229 * [backup-simplify]: Simplify K into K 13.229 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 13.229 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.229 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 13.229 * [taylor]: Taking taylor expansion of J in J 13.229 * [backup-simplify]: Simplify 0 into 0 13.229 * [backup-simplify]: Simplify 1 into 1 13.229 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.229 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 13.230 * [backup-simplify]: Simplify (- 0) into 0 13.230 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 13.230 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.230 * [backup-simplify]: Simplify (+ 0) into 0 13.231 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 13.231 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 13.232 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.233 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 13.233 * [backup-simplify]: Simplify (- 0) into 0 13.233 * [backup-simplify]: Simplify (+ 0 0) into 0 13.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 13.234 * [taylor]: Taking taylor expansion of 0 in K 13.234 * [backup-simplify]: Simplify 0 into 0 13.234 * [backup-simplify]: Simplify 0 into 0 13.234 * [taylor]: Taking taylor expansion of 0 in K 13.234 * [backup-simplify]: Simplify 0 into 0 13.234 * [backup-simplify]: Simplify 0 into 0 13.235 * [backup-simplify]: Simplify (+ 0) into 0 13.235 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 13.235 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 13.236 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.237 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 13.237 * [backup-simplify]: Simplify (- 0) into 0 13.237 * [backup-simplify]: Simplify (+ 0 0) into 0 13.238 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 13.238 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 13.238 * [taylor]: Taking taylor expansion of 0 in K 13.238 * [backup-simplify]: Simplify 0 into 0 13.238 * [backup-simplify]: Simplify 0 into 0 13.238 * [backup-simplify]: Simplify 0 into 0 13.239 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 13.239 * [backup-simplify]: Simplify 0 into 0 13.240 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 13.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.242 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 13.242 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.243 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.244 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 13.245 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 13.245 * [backup-simplify]: Simplify (- 0) into 0 13.246 * [backup-simplify]: Simplify (+ 0 0) into 0 13.246 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 13.247 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.248 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 13.249 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 13.249 * [backup-simplify]: Simplify (+ 0 0) into 0 13.249 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 13.249 * [taylor]: Taking taylor expansion of 0 in J 13.250 * [backup-simplify]: Simplify 0 into 0 13.250 * [taylor]: Taking taylor expansion of 0 in K 13.250 * [backup-simplify]: Simplify 0 into 0 13.250 * [backup-simplify]: Simplify 0 into 0 13.250 * [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))) 13.250 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 13.250 * [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)) 13.250 * [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 13.251 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 13.251 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 13.251 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 13.251 * [taylor]: Taking taylor expansion of 1/4 in K 13.251 * [backup-simplify]: Simplify 1/4 into 1/4 13.251 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 13.251 * [taylor]: Taking taylor expansion of (pow U 2) in K 13.251 * [taylor]: Taking taylor expansion of U in K 13.251 * [backup-simplify]: Simplify U into U 13.251 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 13.251 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 13.251 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 13.251 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 13.251 * [taylor]: Taking taylor expansion of 1/2 in K 13.251 * [backup-simplify]: Simplify 1/2 into 1/2 13.251 * [taylor]: Taking taylor expansion of K in K 13.251 * [backup-simplify]: Simplify 0 into 0 13.251 * [backup-simplify]: Simplify 1 into 1 13.252 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.252 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 13.252 * [taylor]: Taking taylor expansion of (pow J 2) in K 13.252 * [taylor]: Taking taylor expansion of J in K 13.252 * [backup-simplify]: Simplify J into J 13.252 * [backup-simplify]: Simplify (* U U) into (pow U 2) 13.253 * [backup-simplify]: Simplify (* 1 1) into 1 13.253 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.253 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 13.253 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 13.253 * [taylor]: Taking taylor expansion of 1 in K 13.253 * [backup-simplify]: Simplify 1 into 1 13.253 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 13.254 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 13.254 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 13.254 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 13.254 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 13.255 * [backup-simplify]: Simplify (+ 0) into 0 13.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 13.257 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 13.257 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 13.258 * [backup-simplify]: Simplify (+ 0 0) into 0 13.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 13.258 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 13.258 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 13.258 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 13.258 * [taylor]: Taking taylor expansion of 1/4 in J 13.258 * [backup-simplify]: Simplify 1/4 into 1/4 13.258 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 13.258 * [taylor]: Taking taylor expansion of (pow U 2) in J 13.258 * [taylor]: Taking taylor expansion of U in J 13.258 * [backup-simplify]: Simplify U into U 13.258 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 13.258 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 13.259 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 13.259 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 13.259 * [taylor]: Taking taylor expansion of 1/2 in J 13.259 * [backup-simplify]: Simplify 1/2 into 1/2 13.259 * [taylor]: Taking taylor expansion of K in J 13.259 * [backup-simplify]: Simplify K into K 13.259 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 13.259 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 13.259 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 13.259 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 13.259 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 13.259 * [backup-simplify]: Simplify (- 0) into 0 13.260 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 13.260 * [taylor]: Taking taylor expansion of (pow J 2) in J 13.260 * [taylor]: Taking taylor expansion of J in J 13.260 * [backup-simplify]: Simplify 0 into 0 13.260 * [backup-simplify]: Simplify 1 into 1 13.260 * [backup-simplify]: Simplify (* U U) into (pow U 2) 13.260 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 13.260 * [backup-simplify]: Simplify (* 1 1) into 1 13.260 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 13.261 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 13.261 * [taylor]: Taking taylor expansion of 1 in J 13.261 * [backup-simplify]: Simplify 1 into 1 13.261 * [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))) 13.261 * [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))) 13.261 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 13.262 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 13.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.263 * [backup-simplify]: Simplify (+ 0) into 0 13.263 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 13.264 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 13.265 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.265 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 13.266 * [backup-simplify]: Simplify (- 0) into 0 13.266 * [backup-simplify]: Simplify (+ 0 0) into 0 13.266 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 13.267 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 13.267 * [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 13.268 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 13.268 * [backup-simplify]: Simplify (+ 0 0) into 0 13.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 13.269 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 13.269 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 13.269 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 13.269 * [taylor]: Taking taylor expansion of 1/4 in U 13.269 * [backup-simplify]: Simplify 1/4 into 1/4 13.269 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 13.269 * [taylor]: Taking taylor expansion of (pow U 2) in U 13.269 * [taylor]: Taking taylor expansion of U in U 13.269 * [backup-simplify]: Simplify 0 into 0 13.269 * [backup-simplify]: Simplify 1 into 1 13.269 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 13.269 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 13.269 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 13.269 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 13.269 * [taylor]: Taking taylor expansion of 1/2 in U 13.269 * [backup-simplify]: Simplify 1/2 into 1/2 13.269 * [taylor]: Taking taylor expansion of K in U 13.269 * [backup-simplify]: Simplify K into K 13.269 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 13.269 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 13.269 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 13.269 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 13.269 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 13.270 * [backup-simplify]: Simplify (- 0) into 0 13.270 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 13.270 * [taylor]: Taking taylor expansion of (pow J 2) in U 13.270 * [taylor]: Taking taylor expansion of J in U 13.270 * [backup-simplify]: Simplify J into J 13.270 * [backup-simplify]: Simplify (* 1 1) into 1 13.271 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 13.271 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.271 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 13.271 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 13.271 * [taylor]: Taking taylor expansion of 1 in U 13.271 * [backup-simplify]: Simplify 1 into 1 13.271 * [backup-simplify]: Simplify (+ 0 1) into 1 13.272 * [backup-simplify]: Simplify (sqrt 1) into 1 13.272 * [backup-simplify]: Simplify (+ 0 0) into 0 13.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.273 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 13.273 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 13.273 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 13.273 * [taylor]: Taking taylor expansion of 1/4 in U 13.273 * [backup-simplify]: Simplify 1/4 into 1/4 13.273 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 13.273 * [taylor]: Taking taylor expansion of (pow U 2) in U 13.273 * [taylor]: Taking taylor expansion of U in U 13.273 * [backup-simplify]: Simplify 0 into 0 13.273 * [backup-simplify]: Simplify 1 into 1 13.273 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 13.273 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 13.273 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 13.274 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 13.274 * [taylor]: Taking taylor expansion of 1/2 in U 13.274 * [backup-simplify]: Simplify 1/2 into 1/2 13.274 * [taylor]: Taking taylor expansion of K in U 13.274 * [backup-simplify]: Simplify K into K 13.274 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 13.274 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 13.274 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 13.274 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 13.274 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 13.274 * [backup-simplify]: Simplify (- 0) into 0 13.275 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 13.275 * [taylor]: Taking taylor expansion of (pow J 2) in U 13.275 * [taylor]: Taking taylor expansion of J in U 13.275 * [backup-simplify]: Simplify J into J 13.275 * [backup-simplify]: Simplify (* 1 1) into 1 13.275 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 13.275 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.275 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 13.276 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 13.276 * [taylor]: Taking taylor expansion of 1 in U 13.276 * [backup-simplify]: Simplify 1 into 1 13.276 * [backup-simplify]: Simplify (+ 0 1) into 1 13.277 * [backup-simplify]: Simplify (sqrt 1) into 1 13.277 * [backup-simplify]: Simplify (+ 0 0) into 0 13.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.278 * [taylor]: Taking taylor expansion of 1 in J 13.278 * [backup-simplify]: Simplify 1 into 1 13.278 * [taylor]: Taking taylor expansion of 0 in J 13.278 * [backup-simplify]: Simplify 0 into 0 13.278 * [taylor]: Taking taylor expansion of 1 in K 13.278 * [backup-simplify]: Simplify 1 into 1 13.278 * [backup-simplify]: Simplify 1 into 1 13.278 * [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))) 13.279 * [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)))) 13.281 * [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))) 13.281 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 13.281 * [taylor]: Taking taylor expansion of 1/8 in J 13.281 * [backup-simplify]: Simplify 1/8 into 1/8 13.281 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 13.281 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 13.281 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 13.281 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 13.281 * [taylor]: Taking taylor expansion of 1/2 in J 13.281 * [backup-simplify]: Simplify 1/2 into 1/2 13.281 * [taylor]: Taking taylor expansion of K in J 13.281 * [backup-simplify]: Simplify K into K 13.281 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 13.281 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 13.281 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 13.281 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 13.281 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 13.282 * [backup-simplify]: Simplify (- 0) into 0 13.282 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 13.282 * [taylor]: Taking taylor expansion of (pow J 2) in J 13.282 * [taylor]: Taking taylor expansion of J in J 13.282 * [backup-simplify]: Simplify 0 into 0 13.282 * [backup-simplify]: Simplify 1 into 1 13.282 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 13.283 * [backup-simplify]: Simplify (* 1 1) into 1 13.283 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 13.283 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 13.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.285 * [backup-simplify]: Simplify (+ 0) into 0 13.285 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 13.286 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 13.287 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.287 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 13.288 * [backup-simplify]: Simplify (- 0) into 0 13.288 * [backup-simplify]: Simplify (+ 0 0) into 0 13.288 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 13.289 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 13.289 * [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 13.289 * [taylor]: Taking taylor expansion of 0 in K 13.289 * [backup-simplify]: Simplify 0 into 0 13.289 * [backup-simplify]: Simplify 0 into 0 13.289 * [taylor]: Taking taylor expansion of 0 in K 13.289 * [backup-simplify]: Simplify 0 into 0 13.289 * [backup-simplify]: Simplify 0 into 0 13.289 * [taylor]: Taking taylor expansion of 0 in K 13.289 * [backup-simplify]: Simplify 0 into 0 13.289 * [backup-simplify]: Simplify 0 into 0 13.289 * [backup-simplify]: Simplify 0 into 0 13.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.290 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 13.291 * [backup-simplify]: Simplify (+ 0) into 0 13.291 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 13.292 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 13.293 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.293 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 13.294 * [backup-simplify]: Simplify (- 0) into 0 13.294 * [backup-simplify]: Simplify (+ 0 0) into 0 13.294 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 13.295 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 13.295 * [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 13.296 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 13.296 * [backup-simplify]: Simplify (+ 0 0) into 0 13.297 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 13.297 * [taylor]: Taking taylor expansion of 0 in J 13.297 * [backup-simplify]: Simplify 0 into 0 13.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.299 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.300 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.301 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 13.301 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.302 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.302 * [backup-simplify]: Simplify (- 0) into 0 13.303 * [backup-simplify]: Simplify (+ 0 0) into 0 13.303 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 13.304 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 13.305 * [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 13.305 * [taylor]: Taking taylor expansion of 0 in K 13.305 * [backup-simplify]: Simplify 0 into 0 13.305 * [backup-simplify]: Simplify 0 into 0 13.305 * [taylor]: Taking taylor expansion of 0 in K 13.305 * [backup-simplify]: Simplify 0 into 0 13.305 * [backup-simplify]: Simplify 0 into 0 13.305 * [backup-simplify]: Simplify 1 into 1 13.306 * [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)) 13.306 * [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 13.306 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 13.306 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 13.306 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 13.306 * [taylor]: Taking taylor expansion of 1/4 in K 13.306 * [backup-simplify]: Simplify 1/4 into 1/4 13.306 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 13.306 * [taylor]: Taking taylor expansion of (pow J 2) in K 13.306 * [taylor]: Taking taylor expansion of J in K 13.306 * [backup-simplify]: Simplify J into J 13.306 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 13.306 * [taylor]: Taking taylor expansion of (pow U 2) in K 13.306 * [taylor]: Taking taylor expansion of U in K 13.306 * [backup-simplify]: Simplify U into U 13.306 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 13.306 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 13.306 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 13.307 * [taylor]: Taking taylor expansion of 1/2 in K 13.307 * [backup-simplify]: Simplify 1/2 into 1/2 13.307 * [taylor]: Taking taylor expansion of K in K 13.307 * [backup-simplify]: Simplify 0 into 0 13.307 * [backup-simplify]: Simplify 1 into 1 13.307 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.307 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.307 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.307 * [backup-simplify]: Simplify (* U U) into (pow U 2) 13.308 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 13.308 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 13.308 * [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))) 13.308 * [taylor]: Taking taylor expansion of 1 in K 13.308 * [backup-simplify]: Simplify 1 into 1 13.308 * [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)))) 13.309 * [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) 13.309 * [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)) 13.309 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 13.309 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 13.309 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 13.310 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 13.310 * [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 13.311 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 13.312 * [backup-simplify]: Simplify (+ 0 0) into 0 13.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 13.312 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 13.312 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 13.312 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 13.312 * [taylor]: Taking taylor expansion of 1/4 in J 13.312 * [backup-simplify]: Simplify 1/4 into 1/4 13.312 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 13.312 * [taylor]: Taking taylor expansion of (pow J 2) in J 13.312 * [taylor]: Taking taylor expansion of J in J 13.312 * [backup-simplify]: Simplify 0 into 0 13.312 * [backup-simplify]: Simplify 1 into 1 13.312 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 13.312 * [taylor]: Taking taylor expansion of (pow U 2) in J 13.312 * [taylor]: Taking taylor expansion of U in J 13.313 * [backup-simplify]: Simplify U into U 13.313 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 13.313 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 13.313 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 13.313 * [taylor]: Taking taylor expansion of 1/2 in J 13.313 * [backup-simplify]: Simplify 1/2 into 1/2 13.313 * [taylor]: Taking taylor expansion of K in J 13.313 * [backup-simplify]: Simplify K into K 13.313 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.313 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.313 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 13.313 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.313 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 13.313 * [backup-simplify]: Simplify (- 0) into 0 13.314 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 13.314 * [backup-simplify]: Simplify (* 1 1) into 1 13.314 * [backup-simplify]: Simplify (* U U) into (pow U 2) 13.314 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 13.314 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 13.315 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 13.315 * [taylor]: Taking taylor expansion of 1 in J 13.315 * [backup-simplify]: Simplify 1 into 1 13.315 * [backup-simplify]: Simplify (+ 0 1) into 1 13.316 * [backup-simplify]: Simplify (sqrt 1) into 1 13.316 * [backup-simplify]: Simplify (+ 0 0) into 0 13.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.317 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 13.317 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 13.317 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 13.317 * [taylor]: Taking taylor expansion of 1/4 in U 13.317 * [backup-simplify]: Simplify 1/4 into 1/4 13.317 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 13.317 * [taylor]: Taking taylor expansion of (pow J 2) in U 13.317 * [taylor]: Taking taylor expansion of J in U 13.317 * [backup-simplify]: Simplify J into J 13.317 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 13.317 * [taylor]: Taking taylor expansion of (pow U 2) in U 13.317 * [taylor]: Taking taylor expansion of U in U 13.317 * [backup-simplify]: Simplify 0 into 0 13.317 * [backup-simplify]: Simplify 1 into 1 13.317 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 13.317 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 13.317 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 13.317 * [taylor]: Taking taylor expansion of 1/2 in U 13.317 * [backup-simplify]: Simplify 1/2 into 1/2 13.317 * [taylor]: Taking taylor expansion of K in U 13.317 * [backup-simplify]: Simplify K into K 13.317 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.317 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.317 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 13.317 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.318 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 13.318 * [backup-simplify]: Simplify (- 0) into 0 13.318 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 13.318 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.318 * [backup-simplify]: Simplify (* 1 1) into 1 13.319 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 13.319 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 13.319 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 13.319 * [taylor]: Taking taylor expansion of 1 in U 13.319 * [backup-simplify]: Simplify 1 into 1 13.319 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 13.319 * [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))) 13.320 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 13.320 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 13.320 * [backup-simplify]: Simplify (+ 0) into 0 13.321 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 13.321 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 13.322 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.322 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 13.323 * [backup-simplify]: Simplify (- 0) into 0 13.323 * [backup-simplify]: Simplify (+ 0 0) into 0 13.323 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 13.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 13.325 * [backup-simplify]: 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 13.326 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 13.326 * [backup-simplify]: Simplify (+ 0 0) into 0 13.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 13.326 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 13.326 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 13.326 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 13.326 * [taylor]: Taking taylor expansion of 1/4 in U 13.326 * [backup-simplify]: Simplify 1/4 into 1/4 13.326 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 13.326 * [taylor]: Taking taylor expansion of (pow J 2) in U 13.326 * [taylor]: Taking taylor expansion of J in U 13.326 * [backup-simplify]: Simplify J into J 13.326 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 13.327 * [taylor]: Taking taylor expansion of (pow U 2) in U 13.327 * [taylor]: Taking taylor expansion of U in U 13.327 * [backup-simplify]: Simplify 0 into 0 13.327 * [backup-simplify]: Simplify 1 into 1 13.327 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 13.327 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 13.327 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 13.327 * [taylor]: Taking taylor expansion of 1/2 in U 13.327 * [backup-simplify]: Simplify 1/2 into 1/2 13.327 * [taylor]: Taking taylor expansion of K in U 13.327 * [backup-simplify]: Simplify K into K 13.327 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.327 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.327 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 13.327 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.327 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 13.328 * [backup-simplify]: Simplify (- 0) into 0 13.328 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 13.328 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.328 * [backup-simplify]: Simplify (* 1 1) into 1 13.328 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 13.328 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 13.329 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 13.329 * [taylor]: Taking taylor expansion of 1 in U 13.329 * [backup-simplify]: Simplify 1 into 1 13.329 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 13.329 * [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))) 13.329 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 13.329 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 13.330 * [backup-simplify]: Simplify (+ 0) into 0 13.330 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 13.331 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 13.336 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.337 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 13.338 * [backup-simplify]: Simplify (- 0) into 0 13.338 * [backup-simplify]: Simplify (+ 0 0) into 0 13.338 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 13.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 13.340 * [backup-simplify]: 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 13.341 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 13.341 * [backup-simplify]: Simplify (+ 0 0) into 0 13.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 13.341 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 13.341 * [taylor]: Taking taylor expansion of 1/2 in J 13.341 * [backup-simplify]: Simplify 1/2 into 1/2 13.341 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 13.341 * [taylor]: Taking taylor expansion of J in J 13.341 * [backup-simplify]: Simplify 0 into 0 13.341 * [backup-simplify]: Simplify 1 into 1 13.341 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 13.341 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 13.341 * [taylor]: Taking taylor expansion of 1/2 in J 13.342 * [backup-simplify]: Simplify 1/2 into 1/2 13.342 * [taylor]: Taking taylor expansion of K in J 13.342 * [backup-simplify]: Simplify K into K 13.342 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.342 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.342 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 13.342 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.342 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 13.342 * [backup-simplify]: Simplify (- 0) into 0 13.342 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 13.342 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 13.342 * [taylor]: Taking taylor expansion of 0 in J 13.342 * [backup-simplify]: Simplify 0 into 0 13.342 * [taylor]: Taking taylor expansion of 0 in K 13.342 * [backup-simplify]: Simplify 0 into 0 13.342 * [backup-simplify]: Simplify 0 into 0 13.342 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 13.342 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 13.342 * [taylor]: Taking taylor expansion of 1/2 in K 13.342 * [backup-simplify]: Simplify 1/2 into 1/2 13.342 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 13.342 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 13.342 * [taylor]: Taking taylor expansion of 1/2 in K 13.342 * [backup-simplify]: Simplify 1/2 into 1/2 13.342 * [taylor]: Taking taylor expansion of K in K 13.343 * [backup-simplify]: Simplify 0 into 0 13.343 * [backup-simplify]: Simplify 1 into 1 13.343 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.343 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.343 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 13.343 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 13.343 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 13.344 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.344 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.345 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.345 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.345 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.346 * [backup-simplify]: Simplify (- 0) into 0 13.346 * [backup-simplify]: Simplify (+ 0 0) into 0 13.346 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 13.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 13.348 * [backup-simplify]: 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 13.348 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 13.349 * [backup-simplify]: Simplify (+ 0 1) into 1 13.349 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 13.349 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 13.349 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 13.349 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 13.349 * [taylor]: Taking taylor expansion of 1/2 in J 13.349 * [backup-simplify]: Simplify 1/2 into 1/2 13.349 * [taylor]: Taking taylor expansion of K in J 13.349 * [backup-simplify]: Simplify K into K 13.349 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.349 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.350 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 13.350 * [taylor]: Taking taylor expansion of J in J 13.350 * [backup-simplify]: Simplify 0 into 0 13.350 * [backup-simplify]: Simplify 1 into 1 13.350 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.350 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 13.350 * [backup-simplify]: Simplify (- 0) into 0 13.350 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 13.350 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.350 * [backup-simplify]: Simplify (+ 0) into 0 13.351 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 13.351 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 13.351 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.352 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 13.352 * [backup-simplify]: Simplify (- 0) into 0 13.352 * [backup-simplify]: Simplify (+ 0 0) into 0 13.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 13.353 * [taylor]: Taking taylor expansion of 0 in K 13.353 * [backup-simplify]: Simplify 0 into 0 13.353 * [backup-simplify]: Simplify 0 into 0 13.353 * [taylor]: Taking taylor expansion of 0 in K 13.353 * [backup-simplify]: Simplify 0 into 0 13.353 * [backup-simplify]: Simplify 0 into 0 13.353 * [backup-simplify]: Simplify (+ 0) into 0 13.354 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 13.354 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 13.354 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.355 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 13.355 * [backup-simplify]: Simplify (- 0) into 0 13.355 * [backup-simplify]: Simplify (+ 0 0) into 0 13.355 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 13.356 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 13.356 * [taylor]: Taking taylor expansion of 0 in K 13.356 * [backup-simplify]: Simplify 0 into 0 13.356 * [backup-simplify]: Simplify 0 into 0 13.356 * [backup-simplify]: Simplify 0 into 0 13.356 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 13.356 * [backup-simplify]: Simplify 0 into 0 13.356 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 13.357 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 13.358 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.358 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.359 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 13.359 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 13.359 * [backup-simplify]: Simplify (- 0) into 0 13.360 * [backup-simplify]: Simplify (+ 0 0) into 0 13.360 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 13.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 13.362 * [backup-simplify]: 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 13.363 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 13.363 * [backup-simplify]: Simplify (+ 0 0) into 0 13.363 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 13.363 * [taylor]: Taking taylor expansion of 0 in J 13.363 * [backup-simplify]: Simplify 0 into 0 13.363 * [taylor]: Taking taylor expansion of 0 in K 13.363 * [backup-simplify]: Simplify 0 into 0 13.363 * [backup-simplify]: Simplify 0 into 0 13.363 * [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))) 13.364 * [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)))))) 13.364 * [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 13.364 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 13.364 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 13.364 * [taylor]: Taking taylor expansion of 1 in K 13.364 * [backup-simplify]: Simplify 1 into 1 13.364 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 13.364 * [taylor]: Taking taylor expansion of 1/4 in K 13.364 * [backup-simplify]: Simplify 1/4 into 1/4 13.364 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 13.364 * [taylor]: Taking taylor expansion of (pow J 2) in K 13.364 * [taylor]: Taking taylor expansion of J in K 13.364 * [backup-simplify]: Simplify J into J 13.364 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 13.364 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 13.364 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 13.364 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 13.364 * [taylor]: Taking taylor expansion of -1/2 in K 13.364 * [backup-simplify]: Simplify -1/2 into -1/2 13.364 * [taylor]: Taking taylor expansion of K in K 13.364 * [backup-simplify]: Simplify 0 into 0 13.364 * [backup-simplify]: Simplify 1 into 1 13.365 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 13.365 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.365 * [taylor]: Taking taylor expansion of (pow U 2) in K 13.365 * [taylor]: Taking taylor expansion of U in K 13.365 * [backup-simplify]: Simplify U into U 13.365 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.365 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 13.365 * [backup-simplify]: Simplify (* U U) into (pow U 2) 13.365 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 13.365 * [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))) 13.365 * [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)))) 13.366 * [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))))) 13.366 * [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)))))) 13.366 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 13.366 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 13.366 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 13.366 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 13.366 * [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 13.367 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 13.367 * [backup-simplify]: Simplify (+ 0 0) into 0 13.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 13.368 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 13.368 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 13.368 * [taylor]: Taking taylor expansion of 1 in J 13.368 * [backup-simplify]: Simplify 1 into 1 13.368 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 13.368 * [taylor]: Taking taylor expansion of 1/4 in J 13.368 * [backup-simplify]: Simplify 1/4 into 1/4 13.368 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 13.368 * [taylor]: Taking taylor expansion of (pow J 2) in J 13.368 * [taylor]: Taking taylor expansion of J in J 13.368 * [backup-simplify]: Simplify 0 into 0 13.368 * [backup-simplify]: Simplify 1 into 1 13.368 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 13.368 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 13.368 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 13.368 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 13.368 * [taylor]: Taking taylor expansion of -1/2 in J 13.368 * [backup-simplify]: Simplify -1/2 into -1/2 13.368 * [taylor]: Taking taylor expansion of K in J 13.368 * [backup-simplify]: Simplify K into K 13.368 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 13.368 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.368 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 13.368 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.368 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 13.369 * [backup-simplify]: Simplify (- 0) into 0 13.369 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 13.369 * [taylor]: Taking taylor expansion of (pow U 2) in J 13.369 * [taylor]: Taking taylor expansion of U in J 13.369 * [backup-simplify]: Simplify U into U 13.369 * [backup-simplify]: Simplify (* 1 1) into 1 13.369 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 13.369 * [backup-simplify]: Simplify (* U U) into (pow U 2) 13.369 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 13.369 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 13.370 * [backup-simplify]: Simplify (+ 1 0) into 1 13.370 * [backup-simplify]: Simplify (sqrt 1) into 1 13.370 * [backup-simplify]: Simplify (+ 0 0) into 0 13.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.371 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 13.371 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 13.371 * [taylor]: Taking taylor expansion of 1 in U 13.371 * [backup-simplify]: Simplify 1 into 1 13.371 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 13.371 * [taylor]: Taking taylor expansion of 1/4 in U 13.371 * [backup-simplify]: Simplify 1/4 into 1/4 13.371 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 13.371 * [taylor]: Taking taylor expansion of (pow J 2) in U 13.371 * [taylor]: Taking taylor expansion of J in U 13.371 * [backup-simplify]: Simplify J into J 13.371 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 13.371 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 13.371 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 13.371 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 13.371 * [taylor]: Taking taylor expansion of -1/2 in U 13.371 * [backup-simplify]: Simplify -1/2 into -1/2 13.371 * [taylor]: Taking taylor expansion of K in U 13.371 * [backup-simplify]: Simplify K into K 13.371 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 13.371 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.371 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 13.371 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.371 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 13.371 * [backup-simplify]: Simplify (- 0) into 0 13.371 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 13.371 * [taylor]: Taking taylor expansion of (pow U 2) in U 13.371 * [taylor]: Taking taylor expansion of U in U 13.371 * [backup-simplify]: Simplify 0 into 0 13.371 * [backup-simplify]: Simplify 1 into 1 13.372 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.372 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 13.372 * [backup-simplify]: Simplify (* 1 1) into 1 13.372 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 13.372 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 13.372 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 13.372 * [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))) 13.372 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 13.373 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 13.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.373 * [backup-simplify]: Simplify (+ 0) into 0 13.374 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 13.374 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 13.374 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.374 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 13.375 * [backup-simplify]: Simplify (- 0) into 0 13.375 * [backup-simplify]: Simplify (+ 0 0) into 0 13.375 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 13.375 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 13.376 * [backup-simplify]: 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 13.376 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 13.376 * [backup-simplify]: Simplify (+ 0 0) into 0 13.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 13.377 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 13.377 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 13.377 * [taylor]: Taking taylor expansion of 1 in U 13.377 * [backup-simplify]: Simplify 1 into 1 13.377 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 13.377 * [taylor]: Taking taylor expansion of 1/4 in U 13.377 * [backup-simplify]: Simplify 1/4 into 1/4 13.377 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 13.377 * [taylor]: Taking taylor expansion of (pow J 2) in U 13.377 * [taylor]: Taking taylor expansion of J in U 13.377 * [backup-simplify]: Simplify J into J 13.377 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 13.377 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 13.377 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 13.377 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 13.377 * [taylor]: Taking taylor expansion of -1/2 in U 13.377 * [backup-simplify]: Simplify -1/2 into -1/2 13.377 * [taylor]: Taking taylor expansion of K in U 13.377 * [backup-simplify]: Simplify K into K 13.377 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 13.377 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.377 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 13.377 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.377 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 13.377 * [backup-simplify]: Simplify (- 0) into 0 13.377 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 13.377 * [taylor]: Taking taylor expansion of (pow U 2) in U 13.377 * [taylor]: Taking taylor expansion of U in U 13.377 * [backup-simplify]: Simplify 0 into 0 13.377 * [backup-simplify]: Simplify 1 into 1 13.378 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.378 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 13.378 * [backup-simplify]: Simplify (* 1 1) into 1 13.378 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 13.378 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 13.378 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 13.378 * [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))) 13.378 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 13.379 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 13.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.379 * [backup-simplify]: Simplify (+ 0) into 0 13.380 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 13.380 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 13.380 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.380 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 13.381 * [backup-simplify]: Simplify (- 0) into 0 13.381 * [backup-simplify]: Simplify (+ 0 0) into 0 13.381 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 13.381 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 13.382 * [backup-simplify]: 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 13.382 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 13.382 * [backup-simplify]: Simplify (+ 0 0) into 0 13.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 13.382 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 13.383 * [taylor]: Taking taylor expansion of 1/2 in J 13.383 * [backup-simplify]: Simplify 1/2 into 1/2 13.383 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 13.383 * [taylor]: Taking taylor expansion of J in J 13.383 * [backup-simplify]: Simplify 0 into 0 13.383 * [backup-simplify]: Simplify 1 into 1 13.383 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 13.383 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 13.383 * [taylor]: Taking taylor expansion of -1/2 in J 13.383 * [backup-simplify]: Simplify -1/2 into -1/2 13.383 * [taylor]: Taking taylor expansion of K in J 13.383 * [backup-simplify]: Simplify K into K 13.383 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 13.383 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.383 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 13.383 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.383 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 13.383 * [backup-simplify]: Simplify (- 0) into 0 13.383 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 13.383 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 13.383 * [taylor]: Taking taylor expansion of 0 in J 13.383 * [backup-simplify]: Simplify 0 into 0 13.383 * [taylor]: Taking taylor expansion of 0 in K 13.383 * [backup-simplify]: Simplify 0 into 0 13.383 * [backup-simplify]: Simplify 0 into 0 13.383 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 13.384 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K 13.384 * [taylor]: Taking taylor expansion of 1/2 in K 13.384 * [backup-simplify]: Simplify 1/2 into 1/2 13.384 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 13.384 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 13.384 * [taylor]: Taking taylor expansion of -1/2 in K 13.384 * [backup-simplify]: Simplify -1/2 into -1/2 13.384 * [taylor]: Taking taylor expansion of K in K 13.384 * [backup-simplify]: Simplify 0 into 0 13.384 * [backup-simplify]: Simplify 1 into 1 13.384 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 13.384 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.384 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 13.384 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 13.384 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 13.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.386 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.386 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.386 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.387 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.387 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.387 * [backup-simplify]: Simplify (- 0) into 0 13.387 * [backup-simplify]: Simplify (+ 0 0) into 0 13.388 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 13.388 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 13.389 * [backup-simplify]: 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 13.389 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 13.390 * [backup-simplify]: Simplify (+ 1 0) into 1 13.390 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 13.390 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 13.390 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 13.390 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 13.390 * [taylor]: Taking taylor expansion of -1/2 in J 13.390 * [backup-simplify]: Simplify -1/2 into -1/2 13.390 * [taylor]: Taking taylor expansion of K in J 13.390 * [backup-simplify]: Simplify K into K 13.390 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 13.390 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.390 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 13.390 * [taylor]: Taking taylor expansion of J in J 13.390 * [backup-simplify]: Simplify 0 into 0 13.390 * [backup-simplify]: Simplify 1 into 1 13.390 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.390 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 13.391 * [backup-simplify]: Simplify (- 0) into 0 13.391 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 13.391 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.391 * [backup-simplify]: Simplify (+ 0) into 0 13.391 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 13.392 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 13.392 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.392 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 13.393 * [backup-simplify]: Simplify (- 0) into 0 13.393 * [backup-simplify]: Simplify (+ 0 0) into 0 13.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 13.393 * [taylor]: Taking taylor expansion of 0 in K 13.393 * [backup-simplify]: Simplify 0 into 0 13.393 * [backup-simplify]: Simplify 0 into 0 13.394 * [taylor]: Taking taylor expansion of 0 in K 13.394 * [backup-simplify]: Simplify 0 into 0 13.394 * [backup-simplify]: Simplify 0 into 0 13.394 * [backup-simplify]: Simplify (+ 0) into 0 13.394 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 13.395 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 13.395 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.396 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 13.396 * [backup-simplify]: Simplify (- 0) into 0 13.397 * [backup-simplify]: Simplify (+ 0 0) into 0 13.397 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 13.398 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 13.398 * [taylor]: Taking taylor expansion of 0 in K 13.398 * [backup-simplify]: Simplify 0 into 0 13.398 * [backup-simplify]: Simplify 0 into 0 13.398 * [backup-simplify]: Simplify 0 into 0 13.398 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 13.398 * [backup-simplify]: Simplify 0 into 0 13.399 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 13.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.401 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 13.403 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.403 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.405 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 13.406 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 13.406 * [backup-simplify]: Simplify (- 0) into 0 13.407 * [backup-simplify]: Simplify (+ 0 0) into 0 13.408 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 13.409 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.409 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 13.411 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 13.411 * [backup-simplify]: Simplify (+ 0 0) into 0 13.411 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 13.411 * [taylor]: Taking taylor expansion of 0 in J 13.412 * [backup-simplify]: Simplify 0 into 0 13.412 * [taylor]: Taking taylor expansion of 0 in K 13.412 * [backup-simplify]: Simplify 0 into 0 13.412 * [backup-simplify]: Simplify 0 into 0 13.412 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 13.412 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 13.412 * [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)) 13.413 * [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 13.413 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 13.413 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 13.413 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 13.413 * [taylor]: Taking taylor expansion of 1/4 in K 13.413 * [backup-simplify]: Simplify 1/4 into 1/4 13.413 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 13.413 * [taylor]: Taking taylor expansion of (pow U 2) in K 13.413 * [taylor]: Taking taylor expansion of U in K 13.413 * [backup-simplify]: Simplify U into U 13.413 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 13.413 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 13.413 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 13.413 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 13.413 * [taylor]: Taking taylor expansion of 1/2 in K 13.413 * [backup-simplify]: Simplify 1/2 into 1/2 13.413 * [taylor]: Taking taylor expansion of K in K 13.413 * [backup-simplify]: Simplify 0 into 0 13.413 * [backup-simplify]: Simplify 1 into 1 13.414 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.414 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 13.414 * [taylor]: Taking taylor expansion of (pow J 2) in K 13.414 * [taylor]: Taking taylor expansion of J in K 13.414 * [backup-simplify]: Simplify J into J 13.414 * [backup-simplify]: Simplify (* U U) into (pow U 2) 13.415 * [backup-simplify]: Simplify (* 1 1) into 1 13.415 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.415 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 13.415 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 13.415 * [taylor]: Taking taylor expansion of 1 in K 13.415 * [backup-simplify]: Simplify 1 into 1 13.415 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 13.416 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 13.416 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 13.416 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 13.416 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 13.417 * [backup-simplify]: Simplify (+ 0) into 0 13.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 13.418 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 13.419 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 13.419 * [backup-simplify]: Simplify (+ 0 0) into 0 13.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 13.419 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 13.419 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 13.419 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 13.420 * [taylor]: Taking taylor expansion of 1/4 in J 13.420 * [backup-simplify]: Simplify 1/4 into 1/4 13.420 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 13.420 * [taylor]: Taking taylor expansion of (pow U 2) in J 13.420 * [taylor]: Taking taylor expansion of U in J 13.420 * [backup-simplify]: Simplify U into U 13.420 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 13.420 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 13.420 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 13.420 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 13.420 * [taylor]: Taking taylor expansion of 1/2 in J 13.420 * [backup-simplify]: Simplify 1/2 into 1/2 13.420 * [taylor]: Taking taylor expansion of K in J 13.420 * [backup-simplify]: Simplify K into K 13.420 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 13.420 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 13.420 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 13.420 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 13.420 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 13.421 * [backup-simplify]: Simplify (- 0) into 0 13.421 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 13.421 * [taylor]: Taking taylor expansion of (pow J 2) in J 13.421 * [taylor]: Taking taylor expansion of J in J 13.421 * [backup-simplify]: Simplify 0 into 0 13.421 * [backup-simplify]: Simplify 1 into 1 13.421 * [backup-simplify]: Simplify (* U U) into (pow U 2) 13.421 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 13.421 * [backup-simplify]: Simplify (* 1 1) into 1 13.422 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 13.422 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 13.422 * [taylor]: Taking taylor expansion of 1 in J 13.422 * [backup-simplify]: Simplify 1 into 1 13.422 * [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))) 13.422 * [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))) 13.423 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 13.423 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 13.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.424 * [backup-simplify]: Simplify (+ 0) into 0 13.424 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 13.425 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 13.426 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.426 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 13.426 * [backup-simplify]: Simplify (- 0) into 0 13.427 * [backup-simplify]: Simplify (+ 0 0) into 0 13.427 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 13.428 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 13.428 * [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 13.429 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 13.429 * [backup-simplify]: Simplify (+ 0 0) into 0 13.429 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 13.429 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 13.429 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 13.429 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 13.430 * [taylor]: Taking taylor expansion of 1/4 in U 13.430 * [backup-simplify]: Simplify 1/4 into 1/4 13.430 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 13.430 * [taylor]: Taking taylor expansion of (pow U 2) in U 13.430 * [taylor]: Taking taylor expansion of U in U 13.430 * [backup-simplify]: Simplify 0 into 0 13.430 * [backup-simplify]: Simplify 1 into 1 13.430 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 13.430 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 13.430 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 13.430 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 13.430 * [taylor]: Taking taylor expansion of 1/2 in U 13.430 * [backup-simplify]: Simplify 1/2 into 1/2 13.430 * [taylor]: Taking taylor expansion of K in U 13.430 * [backup-simplify]: Simplify K into K 13.430 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 13.430 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 13.430 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 13.430 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 13.430 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 13.431 * [backup-simplify]: Simplify (- 0) into 0 13.431 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 13.431 * [taylor]: Taking taylor expansion of (pow J 2) in U 13.431 * [taylor]: Taking taylor expansion of J in U 13.431 * [backup-simplify]: Simplify J into J 13.431 * [backup-simplify]: Simplify (* 1 1) into 1 13.431 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 13.431 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.432 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 13.432 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 13.432 * [taylor]: Taking taylor expansion of 1 in U 13.432 * [backup-simplify]: Simplify 1 into 1 13.432 * [backup-simplify]: Simplify (+ 0 1) into 1 13.433 * [backup-simplify]: Simplify (sqrt 1) into 1 13.433 * [backup-simplify]: Simplify (+ 0 0) into 0 13.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.434 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 13.434 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 13.434 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 13.434 * [taylor]: Taking taylor expansion of 1/4 in U 13.434 * [backup-simplify]: Simplify 1/4 into 1/4 13.434 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 13.434 * [taylor]: Taking taylor expansion of (pow U 2) in U 13.434 * [taylor]: Taking taylor expansion of U in U 13.434 * [backup-simplify]: Simplify 0 into 0 13.434 * [backup-simplify]: Simplify 1 into 1 13.434 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 13.434 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 13.434 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 13.434 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 13.434 * [taylor]: Taking taylor expansion of 1/2 in U 13.434 * [backup-simplify]: Simplify 1/2 into 1/2 13.434 * [taylor]: Taking taylor expansion of K in U 13.434 * [backup-simplify]: Simplify K into K 13.434 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 13.434 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 13.435 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 13.435 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 13.435 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 13.435 * [backup-simplify]: Simplify (- 0) into 0 13.435 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 13.435 * [taylor]: Taking taylor expansion of (pow J 2) in U 13.435 * [taylor]: Taking taylor expansion of J in U 13.435 * [backup-simplify]: Simplify J into J 13.436 * [backup-simplify]: Simplify (* 1 1) into 1 13.436 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 13.436 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.436 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 13.436 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 13.436 * [taylor]: Taking taylor expansion of 1 in U 13.436 * [backup-simplify]: Simplify 1 into 1 13.437 * [backup-simplify]: Simplify (+ 0 1) into 1 13.437 * [backup-simplify]: Simplify (sqrt 1) into 1 13.438 * [backup-simplify]: Simplify (+ 0 0) into 0 13.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.438 * [taylor]: Taking taylor expansion of 1 in J 13.438 * [backup-simplify]: Simplify 1 into 1 13.439 * [taylor]: Taking taylor expansion of 0 in J 13.439 * [backup-simplify]: Simplify 0 into 0 13.439 * [taylor]: Taking taylor expansion of 1 in K 13.439 * [backup-simplify]: Simplify 1 into 1 13.439 * [backup-simplify]: Simplify 1 into 1 13.439 * [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))) 13.439 * [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)))) 13.441 * [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))) 13.441 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 13.441 * [taylor]: Taking taylor expansion of 1/8 in J 13.441 * [backup-simplify]: Simplify 1/8 into 1/8 13.441 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 13.441 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 13.441 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 13.441 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 13.441 * [taylor]: Taking taylor expansion of 1/2 in J 13.441 * [backup-simplify]: Simplify 1/2 into 1/2 13.441 * [taylor]: Taking taylor expansion of K in J 13.441 * [backup-simplify]: Simplify K into K 13.441 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 13.441 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 13.441 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 13.441 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 13.441 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 13.442 * [backup-simplify]: Simplify (- 0) into 0 13.442 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 13.442 * [taylor]: Taking taylor expansion of (pow J 2) in J 13.442 * [taylor]: Taking taylor expansion of J in J 13.442 * [backup-simplify]: Simplify 0 into 0 13.442 * [backup-simplify]: Simplify 1 into 1 13.442 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 13.442 * [backup-simplify]: Simplify (* 1 1) into 1 13.443 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 13.443 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2)) 13.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.444 * [backup-simplify]: Simplify (+ 0) into 0 13.444 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 13.445 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 13.446 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.446 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 13.446 * [backup-simplify]: Simplify (- 0) into 0 13.447 * [backup-simplify]: Simplify (+ 0 0) into 0 13.447 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 13.448 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 13.448 * [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 13.448 * [taylor]: Taking taylor expansion of 0 in K 13.448 * [backup-simplify]: Simplify 0 into 0 13.448 * [backup-simplify]: Simplify 0 into 0 13.448 * [taylor]: Taking taylor expansion of 0 in K 13.448 * [backup-simplify]: Simplify 0 into 0 13.448 * [backup-simplify]: Simplify 0 into 0 13.448 * [taylor]: Taking taylor expansion of 0 in K 13.448 * [backup-simplify]: Simplify 0 into 0 13.448 * [backup-simplify]: Simplify 0 into 0 13.448 * [backup-simplify]: Simplify 0 into 0 13.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.449 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 13.450 * [backup-simplify]: Simplify (+ 0) into 0 13.450 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 13.451 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 13.451 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.452 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 13.452 * [backup-simplify]: Simplify (- 0) into 0 13.453 * [backup-simplify]: Simplify (+ 0 0) into 0 13.453 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 13.453 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 13.454 * [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 13.454 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 13.455 * [backup-simplify]: Simplify (+ 0 0) into 0 13.455 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 13.455 * [taylor]: Taking taylor expansion of 0 in J 13.455 * [backup-simplify]: Simplify 0 into 0 13.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.457 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.458 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.465 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 13.466 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.467 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.467 * [backup-simplify]: Simplify (- 0) into 0 13.467 * [backup-simplify]: Simplify (+ 0 0) into 0 13.468 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 13.469 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 13.469 * [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 13.469 * [taylor]: Taking taylor expansion of 0 in K 13.469 * [backup-simplify]: Simplify 0 into 0 13.470 * [backup-simplify]: Simplify 0 into 0 13.470 * [taylor]: Taking taylor expansion of 0 in K 13.470 * [backup-simplify]: Simplify 0 into 0 13.470 * [backup-simplify]: Simplify 0 into 0 13.470 * [backup-simplify]: Simplify 1 into 1 13.470 * [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)) 13.470 * [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 13.470 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 13.470 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 13.470 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 13.470 * [taylor]: Taking taylor expansion of 1/4 in K 13.470 * [backup-simplify]: Simplify 1/4 into 1/4 13.470 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 13.471 * [taylor]: Taking taylor expansion of (pow J 2) in K 13.471 * [taylor]: Taking taylor expansion of J in K 13.471 * [backup-simplify]: Simplify J into J 13.471 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 13.471 * [taylor]: Taking taylor expansion of (pow U 2) in K 13.471 * [taylor]: Taking taylor expansion of U in K 13.471 * [backup-simplify]: Simplify U into U 13.471 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 13.471 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 13.471 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 13.471 * [taylor]: Taking taylor expansion of 1/2 in K 13.471 * [backup-simplify]: Simplify 1/2 into 1/2 13.471 * [taylor]: Taking taylor expansion of K in K 13.471 * [backup-simplify]: Simplify 0 into 0 13.471 * [backup-simplify]: Simplify 1 into 1 13.471 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.471 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.471 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.472 * [backup-simplify]: Simplify (* U U) into (pow U 2) 13.472 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 13.472 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 13.472 * [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))) 13.472 * [taylor]: Taking taylor expansion of 1 in K 13.472 * [backup-simplify]: Simplify 1 into 1 13.472 * [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)))) 13.473 * [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) 13.473 * [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)) 13.473 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 13.473 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 13.473 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 13.473 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 13.474 * [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 13.475 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 13.475 * [backup-simplify]: Simplify (+ 0 0) into 0 13.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 13.476 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 13.476 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 13.476 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 13.476 * [taylor]: Taking taylor expansion of 1/4 in J 13.476 * [backup-simplify]: Simplify 1/4 into 1/4 13.476 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 13.476 * [taylor]: Taking taylor expansion of (pow J 2) in J 13.476 * [taylor]: Taking taylor expansion of J in J 13.476 * [backup-simplify]: Simplify 0 into 0 13.476 * [backup-simplify]: Simplify 1 into 1 13.476 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 13.476 * [taylor]: Taking taylor expansion of (pow U 2) in J 13.476 * [taylor]: Taking taylor expansion of U in J 13.476 * [backup-simplify]: Simplify U into U 13.476 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 13.476 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 13.476 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 13.476 * [taylor]: Taking taylor expansion of 1/2 in J 13.476 * [backup-simplify]: Simplify 1/2 into 1/2 13.476 * [taylor]: Taking taylor expansion of K in J 13.476 * [backup-simplify]: Simplify K into K 13.476 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.476 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.476 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 13.476 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.476 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 13.477 * [backup-simplify]: Simplify (- 0) into 0 13.477 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 13.477 * [backup-simplify]: Simplify (* 1 1) into 1 13.477 * [backup-simplify]: Simplify (* U U) into (pow U 2) 13.477 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 13.478 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 13.478 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 13.478 * [taylor]: Taking taylor expansion of 1 in J 13.478 * [backup-simplify]: Simplify 1 into 1 13.478 * [backup-simplify]: Simplify (+ 0 1) into 1 13.479 * [backup-simplify]: Simplify (sqrt 1) into 1 13.479 * [backup-simplify]: Simplify (+ 0 0) into 0 13.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.480 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 13.480 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 13.480 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 13.480 * [taylor]: Taking taylor expansion of 1/4 in U 13.480 * [backup-simplify]: Simplify 1/4 into 1/4 13.480 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 13.480 * [taylor]: Taking taylor expansion of (pow J 2) in U 13.480 * [taylor]: Taking taylor expansion of J in U 13.480 * [backup-simplify]: Simplify J into J 13.480 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 13.480 * [taylor]: Taking taylor expansion of (pow U 2) in U 13.480 * [taylor]: Taking taylor expansion of U in U 13.480 * [backup-simplify]: Simplify 0 into 0 13.480 * [backup-simplify]: Simplify 1 into 1 13.480 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 13.480 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 13.480 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 13.480 * [taylor]: Taking taylor expansion of 1/2 in U 13.480 * [backup-simplify]: Simplify 1/2 into 1/2 13.480 * [taylor]: Taking taylor expansion of K in U 13.480 * [backup-simplify]: Simplify K into K 13.480 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.480 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.480 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 13.480 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.481 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 13.481 * [backup-simplify]: Simplify (- 0) into 0 13.481 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 13.481 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.481 * [backup-simplify]: Simplify (* 1 1) into 1 13.481 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 13.482 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 13.482 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 13.482 * [taylor]: Taking taylor expansion of 1 in U 13.482 * [backup-simplify]: Simplify 1 into 1 13.482 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 13.482 * [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))) 13.482 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 13.483 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 13.483 * [backup-simplify]: Simplify (+ 0) into 0 13.483 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 13.483 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 13.484 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.485 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 13.485 * [backup-simplify]: Simplify (- 0) into 0 13.485 * [backup-simplify]: Simplify (+ 0 0) into 0 13.486 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 13.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 13.487 * [backup-simplify]: 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 13.488 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 13.488 * [backup-simplify]: Simplify (+ 0 0) into 0 13.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 13.488 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 13.488 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 13.488 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 13.488 * [taylor]: Taking taylor expansion of 1/4 in U 13.488 * [backup-simplify]: Simplify 1/4 into 1/4 13.488 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 13.488 * [taylor]: Taking taylor expansion of (pow J 2) in U 13.489 * [taylor]: Taking taylor expansion of J in U 13.489 * [backup-simplify]: Simplify J into J 13.489 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 13.489 * [taylor]: Taking taylor expansion of (pow U 2) in U 13.489 * [taylor]: Taking taylor expansion of U in U 13.489 * [backup-simplify]: Simplify 0 into 0 13.489 * [backup-simplify]: Simplify 1 into 1 13.489 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 13.489 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 13.489 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 13.489 * [taylor]: Taking taylor expansion of 1/2 in U 13.489 * [backup-simplify]: Simplify 1/2 into 1/2 13.489 * [taylor]: Taking taylor expansion of K in U 13.489 * [backup-simplify]: Simplify K into K 13.489 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.489 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.489 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 13.489 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.489 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 13.490 * [backup-simplify]: Simplify (- 0) into 0 13.490 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 13.490 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.490 * [backup-simplify]: Simplify (* 1 1) into 1 13.490 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 13.490 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 13.491 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 13.491 * [taylor]: Taking taylor expansion of 1 in U 13.491 * [backup-simplify]: Simplify 1 into 1 13.491 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 13.491 * [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))) 13.491 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 13.491 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 13.493 * [backup-simplify]: Simplify (+ 0) into 0 13.493 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 13.493 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 13.494 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.494 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 13.495 * [backup-simplify]: Simplify (- 0) into 0 13.495 * [backup-simplify]: Simplify (+ 0 0) into 0 13.495 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 13.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 13.497 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 13.497 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 13.498 * [backup-simplify]: Simplify (+ 0 0) into 0 13.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 13.498 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 13.498 * [taylor]: Taking taylor expansion of 1/2 in J 13.498 * [backup-simplify]: Simplify 1/2 into 1/2 13.498 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 13.498 * [taylor]: Taking taylor expansion of J in J 13.498 * [backup-simplify]: Simplify 0 into 0 13.498 * [backup-simplify]: Simplify 1 into 1 13.498 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 13.498 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 13.498 * [taylor]: Taking taylor expansion of 1/2 in J 13.498 * [backup-simplify]: Simplify 1/2 into 1/2 13.498 * [taylor]: Taking taylor expansion of K in J 13.498 * [backup-simplify]: Simplify K into K 13.498 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.499 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.499 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 13.499 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.499 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 13.499 * [backup-simplify]: Simplify (- 0) into 0 13.499 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 13.499 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 13.499 * [taylor]: Taking taylor expansion of 0 in J 13.499 * [backup-simplify]: Simplify 0 into 0 13.499 * [taylor]: Taking taylor expansion of 0 in K 13.499 * [backup-simplify]: Simplify 0 into 0 13.499 * [backup-simplify]: Simplify 0 into 0 13.500 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 13.500 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K 13.500 * [taylor]: Taking taylor expansion of 1/2 in K 13.500 * [backup-simplify]: Simplify 1/2 into 1/2 13.500 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 13.500 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 13.500 * [taylor]: Taking taylor expansion of 1/2 in K 13.500 * [backup-simplify]: Simplify 1/2 into 1/2 13.500 * [taylor]: Taking taylor expansion of K in K 13.500 * [backup-simplify]: Simplify 0 into 0 13.500 * [backup-simplify]: Simplify 1 into 1 13.500 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.500 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.500 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 13.500 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 13.501 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 13.502 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.502 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.503 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.503 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.504 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.504 * [backup-simplify]: Simplify (- 0) into 0 13.505 * [backup-simplify]: Simplify (+ 0 0) into 0 13.505 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 13.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 13.507 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 13.508 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 13.509 * [backup-simplify]: Simplify (+ 0 1) into 1 13.509 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 13.509 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 13.509 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 13.509 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 13.509 * [taylor]: Taking taylor expansion of 1/2 in J 13.509 * [backup-simplify]: Simplify 1/2 into 1/2 13.509 * [taylor]: Taking taylor expansion of K in J 13.510 * [backup-simplify]: Simplify K into K 13.510 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.510 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.510 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 13.510 * [taylor]: Taking taylor expansion of J in J 13.510 * [backup-simplify]: Simplify 0 into 0 13.510 * [backup-simplify]: Simplify 1 into 1 13.510 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.510 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 13.510 * [backup-simplify]: Simplify (- 0) into 0 13.510 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 13.510 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.511 * [backup-simplify]: Simplify (+ 0) into 0 13.511 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 13.511 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 13.512 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.513 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 13.513 * [backup-simplify]: Simplify (- 0) into 0 13.513 * [backup-simplify]: Simplify (+ 0 0) into 0 13.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 13.514 * [taylor]: Taking taylor expansion of 0 in K 13.514 * [backup-simplify]: Simplify 0 into 0 13.514 * [backup-simplify]: Simplify 0 into 0 13.514 * [taylor]: Taking taylor expansion of 0 in K 13.514 * [backup-simplify]: Simplify 0 into 0 13.514 * [backup-simplify]: Simplify 0 into 0 13.515 * [backup-simplify]: Simplify (+ 0) into 0 13.515 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 13.515 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 13.516 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.516 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 13.517 * [backup-simplify]: Simplify (- 0) into 0 13.517 * [backup-simplify]: Simplify (+ 0 0) into 0 13.517 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 13.518 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 13.518 * [taylor]: Taking taylor expansion of 0 in K 13.518 * [backup-simplify]: Simplify 0 into 0 13.518 * [backup-simplify]: Simplify 0 into 0 13.518 * [backup-simplify]: Simplify 0 into 0 13.518 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 13.518 * [backup-simplify]: Simplify 0 into 0 13.519 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 13.520 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 13.521 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.521 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.523 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 13.524 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 13.524 * [backup-simplify]: Simplify (- 0) into 0 13.524 * [backup-simplify]: Simplify (+ 0 0) into 0 13.525 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 13.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0 13.528 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 13.529 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 13.529 * [backup-simplify]: Simplify (+ 0 0) into 0 13.530 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 13.530 * [taylor]: Taking taylor expansion of 0 in J 13.530 * [backup-simplify]: Simplify 0 into 0 13.530 * [taylor]: Taking taylor expansion of 0 in K 13.530 * [backup-simplify]: Simplify 0 into 0 13.530 * [backup-simplify]: Simplify 0 into 0 13.530 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 13.531 * [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)))))) 13.531 * [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 13.531 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 13.531 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 13.531 * [taylor]: Taking taylor expansion of 1 in K 13.531 * [backup-simplify]: Simplify 1 into 1 13.531 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 13.531 * [taylor]: Taking taylor expansion of 1/4 in K 13.531 * [backup-simplify]: Simplify 1/4 into 1/4 13.531 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 13.531 * [taylor]: Taking taylor expansion of (pow J 2) in K 13.531 * [taylor]: Taking taylor expansion of J in K 13.531 * [backup-simplify]: Simplify J into J 13.531 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 13.531 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 13.531 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 13.531 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 13.531 * [taylor]: Taking taylor expansion of -1/2 in K 13.531 * [backup-simplify]: Simplify -1/2 into -1/2 13.531 * [taylor]: Taking taylor expansion of K in K 13.531 * [backup-simplify]: Simplify 0 into 0 13.531 * [backup-simplify]: Simplify 1 into 1 13.532 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 13.532 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.532 * [taylor]: Taking taylor expansion of (pow U 2) in K 13.532 * [taylor]: Taking taylor expansion of U in K 13.532 * [backup-simplify]: Simplify U into U 13.532 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.532 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 13.532 * [backup-simplify]: Simplify (* U U) into (pow U 2) 13.532 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 13.532 * [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))) 13.533 * [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)))) 13.533 * [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))))) 13.533 * [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)))))) 13.534 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 13.534 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 13.534 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 13.534 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 13.534 * [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 13.535 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 13.536 * [backup-simplify]: Simplify (+ 0 0) into 0 13.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 13.536 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 13.536 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 13.536 * [taylor]: Taking taylor expansion of 1 in J 13.536 * [backup-simplify]: Simplify 1 into 1 13.536 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 13.536 * [taylor]: Taking taylor expansion of 1/4 in J 13.536 * [backup-simplify]: Simplify 1/4 into 1/4 13.536 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 13.536 * [taylor]: Taking taylor expansion of (pow J 2) in J 13.536 * [taylor]: Taking taylor expansion of J in J 13.536 * [backup-simplify]: Simplify 0 into 0 13.536 * [backup-simplify]: Simplify 1 into 1 13.536 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 13.536 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 13.536 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 13.536 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 13.536 * [taylor]: Taking taylor expansion of -1/2 in J 13.536 * [backup-simplify]: Simplify -1/2 into -1/2 13.536 * [taylor]: Taking taylor expansion of K in J 13.536 * [backup-simplify]: Simplify K into K 13.536 * [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 U 2) in J 13.537 * [taylor]: Taking taylor expansion of U in J 13.537 * [backup-simplify]: Simplify U into U 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 (* U U) into (pow U 2) 13.538 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 13.538 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 13.539 * [backup-simplify]: Simplify (+ 1 0) into 1 13.539 * [backup-simplify]: Simplify (sqrt 1) into 1 13.539 * [backup-simplify]: Simplify (+ 0 0) into 0 13.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.540 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 13.540 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 13.540 * [taylor]: Taking taylor expansion of 1 in U 13.540 * [backup-simplify]: Simplify 1 into 1 13.540 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 13.540 * [taylor]: Taking taylor expansion of 1/4 in U 13.540 * [backup-simplify]: Simplify 1/4 into 1/4 13.540 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 13.540 * [taylor]: Taking taylor expansion of (pow J 2) in U 13.540 * [taylor]: Taking taylor expansion of J in U 13.540 * [backup-simplify]: Simplify J into J 13.540 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 13.540 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 13.540 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 13.540 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 13.540 * [taylor]: Taking taylor expansion of -1/2 in U 13.540 * [backup-simplify]: Simplify -1/2 into -1/2 13.540 * [taylor]: Taking taylor expansion of K in U 13.540 * [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 U 2) in U 13.541 * [taylor]: Taking taylor expansion of U in U 13.541 * [backup-simplify]: Simplify 0 into 0 13.541 * [backup-simplify]: Simplify 1 into 1 13.541 * [backup-simplify]: Simplify (* J J) into (pow J 2) 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 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 13.542 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 13.543 * [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))) 13.543 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 13.543 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 13.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.544 * [backup-simplify]: Simplify (+ 0) into 0 13.544 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 13.545 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 13.545 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.546 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 13.546 * [backup-simplify]: Simplify (- 0) into 0 13.546 * [backup-simplify]: Simplify (+ 0 0) into 0 13.546 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 13.547 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 13.547 * [backup-simplify]: 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 13.548 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 13.548 * [backup-simplify]: Simplify (+ 0 0) into 0 13.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 13.549 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 13.549 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 13.549 * [taylor]: Taking taylor expansion of 1 in U 13.549 * [backup-simplify]: Simplify 1 into 1 13.549 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 13.549 * [taylor]: Taking taylor expansion of 1/4 in U 13.549 * [backup-simplify]: Simplify 1/4 into 1/4 13.549 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 13.549 * [taylor]: Taking taylor expansion of (pow J 2) in U 13.549 * [taylor]: Taking taylor expansion of J in U 13.549 * [backup-simplify]: Simplify J into J 13.549 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 13.549 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 13.549 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 13.549 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 13.549 * [taylor]: Taking taylor expansion of -1/2 in U 13.549 * [backup-simplify]: Simplify -1/2 into -1/2 13.549 * [taylor]: Taking taylor expansion of K in U 13.549 * [backup-simplify]: Simplify K into K 13.549 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 13.549 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.549 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 13.549 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.549 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 13.550 * [backup-simplify]: Simplify (- 0) into 0 13.550 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 13.550 * [taylor]: Taking taylor expansion of (pow U 2) in U 13.550 * [taylor]: Taking taylor expansion of U in U 13.550 * [backup-simplify]: Simplify 0 into 0 13.550 * [backup-simplify]: Simplify 1 into 1 13.550 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.550 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 13.551 * [backup-simplify]: Simplify (* 1 1) into 1 13.551 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 13.551 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 13.551 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 13.551 * [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))) 13.552 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 13.552 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 13.552 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.553 * [backup-simplify]: Simplify (+ 0) into 0 13.553 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 13.553 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 13.554 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.555 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 13.555 * [backup-simplify]: Simplify (- 0) into 0 13.555 * [backup-simplify]: Simplify (+ 0 0) into 0 13.555 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 13.556 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 13.556 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 13.557 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 13.557 * [backup-simplify]: Simplify (+ 0 0) into 0 13.558 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 13.558 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 13.558 * [taylor]: Taking taylor expansion of 1/2 in J 13.558 * [backup-simplify]: Simplify 1/2 into 1/2 13.558 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 13.558 * [taylor]: Taking taylor expansion of J in J 13.558 * [backup-simplify]: Simplify 0 into 0 13.558 * [backup-simplify]: Simplify 1 into 1 13.558 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 13.558 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 13.558 * [taylor]: Taking taylor expansion of -1/2 in J 13.558 * [backup-simplify]: Simplify -1/2 into -1/2 13.558 * [taylor]: Taking taylor expansion of K in J 13.558 * [backup-simplify]: Simplify K into K 13.558 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 13.558 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.558 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 13.558 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.558 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 13.559 * [backup-simplify]: Simplify (- 0) into 0 13.559 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 13.559 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 13.559 * [taylor]: Taking taylor expansion of 0 in J 13.559 * [backup-simplify]: Simplify 0 into 0 13.559 * [taylor]: Taking taylor expansion of 0 in K 13.559 * [backup-simplify]: Simplify 0 into 0 13.559 * [backup-simplify]: Simplify 0 into 0 13.559 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 13.559 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -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 (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 13.560 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 13.560 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.560 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 13.560 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 13.561 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 13.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.563 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.564 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.564 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.565 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.565 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.565 * [backup-simplify]: Simplify (- 0) into 0 13.566 * [backup-simplify]: Simplify (+ 0 0) into 0 13.566 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 13.567 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 13.567 * [backup-simplify]: 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 13.568 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 13.569 * [backup-simplify]: Simplify (+ 1 0) into 1 13.570 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 13.570 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 13.570 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 13.570 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 13.570 * [taylor]: Taking taylor expansion of -1/2 in J 13.570 * [backup-simplify]: Simplify -1/2 into -1/2 13.570 * [taylor]: Taking taylor expansion of K in J 13.570 * [backup-simplify]: Simplify K into K 13.570 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 13.570 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.570 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 13.570 * [taylor]: Taking taylor expansion of J in J 13.570 * [backup-simplify]: Simplify 0 into 0 13.570 * [backup-simplify]: Simplify 1 into 1 13.570 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.570 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 13.571 * [backup-simplify]: Simplify (- 0) into 0 13.571 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 13.571 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.571 * [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 13.572 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.573 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 13.573 * [backup-simplify]: Simplify (- 0) into 0 13.573 * [backup-simplify]: Simplify (+ 0 0) into 0 13.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 13.574 * [taylor]: Taking taylor expansion of 0 in K 13.574 * [backup-simplify]: Simplify 0 into 0 13.574 * [backup-simplify]: Simplify 0 into 0 13.574 * [taylor]: Taking taylor expansion of 0 in K 13.575 * [backup-simplify]: Simplify 0 into 0 13.575 * [backup-simplify]: Simplify 0 into 0 13.575 * [backup-simplify]: Simplify (+ 0) into 0 13.575 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 13.576 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 13.576 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.577 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 13.577 * [backup-simplify]: Simplify (- 0) into 0 13.577 * [backup-simplify]: Simplify (+ 0 0) into 0 13.578 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 13.578 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 13.578 * [taylor]: Taking taylor expansion of 0 in K 13.578 * [backup-simplify]: Simplify 0 into 0 13.578 * [backup-simplify]: Simplify 0 into 0 13.578 * [backup-simplify]: Simplify 0 into 0 13.578 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 13.578 * [backup-simplify]: Simplify 0 into 0 13.579 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 13.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.581 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 13.582 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.582 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.584 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 13.585 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 13.585 * [backup-simplify]: Simplify (- 0) into 0 13.585 * [backup-simplify]: Simplify (+ 0 0) into 0 13.586 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 13.587 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.587 * [backup-simplify]: 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 13.589 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 13.589 * [backup-simplify]: Simplify (+ 0 0) into 0 13.589 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 13.589 * [taylor]: Taking taylor expansion of 0 in J 13.589 * [backup-simplify]: Simplify 0 into 0 13.589 * [taylor]: Taking taylor expansion of 0 in K 13.589 * [backup-simplify]: Simplify 0 into 0 13.589 * [backup-simplify]: Simplify 0 into 0 13.590 * [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))) 13.590 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 13.590 * [backup-simplify]: Simplify (cbrt (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) 1/6) 13.590 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/6) in (U J K) around 0 13.590 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/6) in K 13.590 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 13.590 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 13.590 * [taylor]: Taking taylor expansion of 1/6 in K 13.590 * [backup-simplify]: Simplify 1/6 into 1/6 13.590 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 13.591 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 13.591 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 13.591 * [taylor]: Taking taylor expansion of 1/4 in K 13.591 * [backup-simplify]: Simplify 1/4 into 1/4 13.591 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 13.591 * [taylor]: Taking taylor expansion of (pow U 2) in K 13.591 * [taylor]: Taking taylor expansion of U in K 13.591 * [backup-simplify]: Simplify U into U 13.591 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 13.591 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 13.591 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 13.591 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 13.591 * [taylor]: Taking taylor expansion of 1/2 in K 13.591 * [backup-simplify]: Simplify 1/2 into 1/2 13.591 * [taylor]: Taking taylor expansion of K in K 13.591 * [backup-simplify]: Simplify 0 into 0 13.591 * [backup-simplify]: Simplify 1 into 1 13.591 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.592 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 13.592 * [taylor]: Taking taylor expansion of (pow J 2) in K 13.592 * [taylor]: Taking taylor expansion of J in K 13.592 * [backup-simplify]: Simplify J into J 13.592 * [backup-simplify]: Simplify (* U U) into (pow U 2) 13.592 * [backup-simplify]: Simplify (* 1 1) into 1 13.593 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.593 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 13.593 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 13.593 * [taylor]: Taking taylor expansion of 1 in K 13.593 * [backup-simplify]: Simplify 1 into 1 13.593 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 13.593 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 13.593 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 13.594 * [backup-simplify]: Simplify (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) 13.594 * [backup-simplify]: Simplify (exp (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/6) 13.594 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/6) in J 13.594 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 13.594 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 13.594 * [taylor]: Taking taylor expansion of 1/6 in J 13.594 * [backup-simplify]: Simplify 1/6 into 1/6 13.594 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 13.594 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 13.594 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 13.594 * [taylor]: Taking taylor expansion of 1/4 in J 13.594 * [backup-simplify]: Simplify 1/4 into 1/4 13.594 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 13.594 * [taylor]: Taking taylor expansion of (pow U 2) in J 13.594 * [taylor]: Taking taylor expansion of U in J 13.594 * [backup-simplify]: Simplify U into U 13.594 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 13.594 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 13.594 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 13.594 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 13.594 * [taylor]: Taking taylor expansion of 1/2 in J 13.594 * [backup-simplify]: Simplify 1/2 into 1/2 13.594 * [taylor]: Taking taylor expansion of K in J 13.594 * [backup-simplify]: Simplify K into K 13.594 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 13.595 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 13.595 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 13.595 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 13.595 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 13.595 * [backup-simplify]: Simplify (- 0) into 0 13.595 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 13.595 * [taylor]: Taking taylor expansion of (pow J 2) in J 13.595 * [taylor]: Taking taylor expansion of J in J 13.595 * [backup-simplify]: Simplify 0 into 0 13.595 * [backup-simplify]: Simplify 1 into 1 13.595 * [backup-simplify]: Simplify (* U U) into (pow U 2) 13.595 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 13.596 * [backup-simplify]: Simplify (* 1 1) into 1 13.596 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 13.596 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 13.596 * [taylor]: Taking taylor expansion of 1 in J 13.596 * [backup-simplify]: Simplify 1 into 1 13.596 * [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))) 13.597 * [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))) 13.597 * [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)))) 13.597 * [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))) 13.598 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) into (* 1/6 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) 13.598 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) 13.598 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/6) in U 13.598 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 13.598 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 13.598 * [taylor]: Taking taylor expansion of 1/6 in U 13.598 * [backup-simplify]: Simplify 1/6 into 1/6 13.598 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 13.598 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 13.598 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 13.598 * [taylor]: Taking taylor expansion of 1/4 in U 13.598 * [backup-simplify]: Simplify 1/4 into 1/4 13.598 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 13.598 * [taylor]: Taking taylor expansion of (pow U 2) in U 13.598 * [taylor]: Taking taylor expansion of U in U 13.598 * [backup-simplify]: Simplify 0 into 0 13.598 * [backup-simplify]: Simplify 1 into 1 13.598 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 13.598 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 13.598 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 13.598 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 13.599 * [taylor]: Taking taylor expansion of 1/2 in U 13.599 * [backup-simplify]: Simplify 1/2 into 1/2 13.599 * [taylor]: Taking taylor expansion of K in U 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 * [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 13.599 * [backup-simplify]: Simplify (- 0) into 0 13.599 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 13.599 * [taylor]: Taking taylor expansion of (pow J 2) in U 13.600 * [taylor]: Taking taylor expansion of J in U 13.600 * [backup-simplify]: Simplify J into J 13.600 * [backup-simplify]: Simplify (* 1 1) into 1 13.600 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 13.600 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.600 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 13.600 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 13.600 * [taylor]: Taking taylor expansion of 1 in U 13.600 * [backup-simplify]: Simplify 1 into 1 13.601 * [backup-simplify]: Simplify (+ 0 1) into 1 13.601 * [backup-simplify]: Simplify (log 1) into 0 13.602 * [backup-simplify]: Simplify (* 1/6 0) into 0 13.602 * [backup-simplify]: Simplify (+ 0 0) into 0 13.603 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 13.604 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 0)) into 0 13.604 * [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))) 13.604 * [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)))) 13.610 * [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))) 13.611 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 13.611 * [backup-simplify]: Simplify (exp 0) into 1 13.611 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/6) in U 13.611 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 13.611 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 13.611 * [taylor]: Taking taylor expansion of 1/6 in U 13.611 * [backup-simplify]: Simplify 1/6 into 1/6 13.611 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 13.611 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 13.611 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 13.611 * [taylor]: Taking taylor expansion of 1/4 in U 13.611 * [backup-simplify]: Simplify 1/4 into 1/4 13.611 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 13.611 * [taylor]: Taking taylor expansion of (pow U 2) in U 13.611 * [taylor]: Taking taylor expansion of U in U 13.612 * [backup-simplify]: Simplify 0 into 0 13.612 * [backup-simplify]: Simplify 1 into 1 13.612 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 13.612 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 13.612 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 13.612 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 13.612 * [taylor]: Taking taylor expansion of 1/2 in U 13.612 * [backup-simplify]: Simplify 1/2 into 1/2 13.612 * [taylor]: Taking taylor expansion of K in U 13.612 * [backup-simplify]: Simplify K into K 13.612 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 13.612 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 13.612 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 13.612 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 13.612 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 13.612 * [backup-simplify]: Simplify (- 0) into 0 13.612 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 13.613 * [taylor]: Taking taylor expansion of (pow J 2) in U 13.613 * [taylor]: Taking taylor expansion of J in U 13.613 * [backup-simplify]: Simplify J into J 13.613 * [backup-simplify]: Simplify (* 1 1) into 1 13.613 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 13.613 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.613 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 13.613 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 13.613 * [taylor]: Taking taylor expansion of 1 in U 13.614 * [backup-simplify]: Simplify 1 into 1 13.614 * [backup-simplify]: Simplify (+ 0 1) into 1 13.614 * [backup-simplify]: Simplify (log 1) into 0 13.615 * [backup-simplify]: Simplify (* 1/6 0) into 0 13.615 * [backup-simplify]: Simplify (+ 0 0) into 0 13.616 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 13.617 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 0)) into 0 13.617 * [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))) 13.617 * [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)))) 13.619 * [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))) 13.620 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 13.620 * [backup-simplify]: Simplify (exp 0) into 1 13.620 * [taylor]: Taking taylor expansion of 1 in J 13.620 * [backup-simplify]: Simplify 1 into 1 13.620 * [taylor]: Taking taylor expansion of 1 in K 13.620 * [backup-simplify]: Simplify 1 into 1 13.620 * [backup-simplify]: Simplify 1 into 1 13.621 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 13.621 * [taylor]: Taking taylor expansion of 0 in J 13.621 * [backup-simplify]: Simplify 0 into 0 13.621 * [taylor]: Taking taylor expansion of 0 in K 13.621 * [backup-simplify]: Simplify 0 into 0 13.621 * [backup-simplify]: Simplify 0 into 0 13.621 * [taylor]: Taking taylor expansion of 0 in K 13.621 * [backup-simplify]: Simplify 0 into 0 13.621 * [backup-simplify]: Simplify 0 into 0 13.621 * [backup-simplify]: Simplify 0 into 0 13.622 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/24 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1)))) into (/ 1/24 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 13.622 * [taylor]: Taking taylor expansion of (/ 1/24 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 13.622 * [taylor]: Taking taylor expansion of 1/24 in J 13.622 * [backup-simplify]: Simplify 1/24 into 1/24 13.622 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 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 13.623 * [backup-simplify]: Simplify (- 0) into 0 13.623 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 13.623 * [taylor]: Taking taylor expansion of (pow J 2) in J 13.623 * [taylor]: Taking taylor expansion of J in J 13.623 * [backup-simplify]: Simplify 0 into 0 13.623 * [backup-simplify]: Simplify 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 (* 1 1) into 1 13.623 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 13.623 * [backup-simplify]: Simplify (/ 1/24 (pow (cos (* 1/2 K)) 2)) into (/ 1/24 (pow (cos (* 1/2 K)) 2)) 13.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.624 * [backup-simplify]: Simplify (+ 0) into 0 13.624 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 13.625 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 13.625 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.626 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 13.626 * [backup-simplify]: Simplify (- 0) into 0 13.626 * [backup-simplify]: Simplify (+ 0 0) into 0 13.626 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 13.626 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.627 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.627 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.628 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 13.628 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.629 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.629 * [backup-simplify]: Simplify (- 0) into 0 13.629 * [backup-simplify]: Simplify (+ 0 0) into 0 13.630 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 13.630 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 13.630 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 13.631 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/24 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 13.631 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/24 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 13.631 * [taylor]: Taking taylor expansion of 0 in K 13.631 * [backup-simplify]: Simplify 0 into 0 13.631 * [backup-simplify]: Simplify 0 into 0 13.631 * [taylor]: Taking taylor expansion of 0 in K 13.631 * [backup-simplify]: Simplify 0 into 0 13.631 * [backup-simplify]: Simplify 0 into 0 13.631 * [taylor]: Taking taylor expansion of 0 in K 13.631 * [backup-simplify]: Simplify 0 into 0 13.631 * [backup-simplify]: Simplify 0 into 0 13.631 * [backup-simplify]: Simplify 1 into 1 13.631 * [backup-simplify]: Simplify (cbrt (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) 1/6) 13.631 * [approximate]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) in (U J K) around 0 13.631 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) in K 13.632 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in K 13.632 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in K 13.632 * [taylor]: Taking taylor expansion of 1/6 in K 13.632 * [backup-simplify]: Simplify 1/6 into 1/6 13.632 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 13.632 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 13.632 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 13.632 * [taylor]: Taking taylor expansion of 1/4 in K 13.632 * [backup-simplify]: Simplify 1/4 into 1/4 13.632 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 13.632 * [taylor]: Taking taylor expansion of (pow J 2) in K 13.632 * [taylor]: Taking taylor expansion of J in K 13.632 * [backup-simplify]: Simplify J into J 13.632 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 13.632 * [taylor]: Taking taylor expansion of (pow U 2) in K 13.632 * [taylor]: Taking taylor expansion of U in K 13.632 * [backup-simplify]: Simplify U into U 13.632 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 13.632 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 13.632 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 13.632 * [taylor]: Taking taylor expansion of 1/2 in K 13.632 * [backup-simplify]: Simplify 1/2 into 1/2 13.632 * [taylor]: Taking taylor expansion of K in K 13.632 * [backup-simplify]: Simplify 0 into 0 13.632 * [backup-simplify]: Simplify 1 into 1 13.632 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.632 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.632 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.632 * [backup-simplify]: Simplify (* U U) into (pow U 2) 13.632 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 13.633 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 13.633 * [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))) 13.633 * [taylor]: Taking taylor expansion of 1 in K 13.633 * [backup-simplify]: Simplify 1 into 1 13.633 * [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)))) 13.633 * [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) 13.633 * [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)) 13.634 * [backup-simplify]: Simplify (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) 13.634 * [backup-simplify]: Simplify (exp (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) 13.634 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) in J 13.634 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in J 13.634 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in J 13.634 * [taylor]: Taking taylor expansion of 1/6 in J 13.634 * [backup-simplify]: Simplify 1/6 into 1/6 13.634 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 13.634 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 13.634 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 13.634 * [taylor]: Taking taylor expansion of 1/4 in J 13.634 * [backup-simplify]: Simplify 1/4 into 1/4 13.634 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 13.634 * [taylor]: Taking taylor expansion of (pow J 2) in J 13.634 * [taylor]: Taking taylor expansion of J in J 13.634 * [backup-simplify]: Simplify 0 into 0 13.634 * [backup-simplify]: Simplify 1 into 1 13.634 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 13.634 * [taylor]: Taking taylor expansion of (pow U 2) in J 13.634 * [taylor]: Taking taylor expansion of U in J 13.634 * [backup-simplify]: Simplify U into U 13.634 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 13.634 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 13.634 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 13.634 * [taylor]: Taking taylor expansion of 1/2 in J 13.634 * [backup-simplify]: Simplify 1/2 into 1/2 13.634 * [taylor]: Taking taylor expansion of K in J 13.634 * [backup-simplify]: Simplify K into K 13.634 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.634 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.634 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 13.634 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.634 * [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 * [backup-simplify]: Simplify (* 1 1) into 1 13.635 * [backup-simplify]: Simplify (* U U) into (pow U 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 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 13.635 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 13.635 * [taylor]: Taking taylor expansion of 1 in J 13.636 * [backup-simplify]: Simplify 1 into 1 13.636 * [backup-simplify]: Simplify (+ 0 1) into 1 13.636 * [backup-simplify]: Simplify (log 1) into 0 13.636 * [backup-simplify]: Simplify (* 1/6 0) into 0 13.637 * [backup-simplify]: Simplify (+ 0 0) into 0 13.637 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 13.638 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 0)) into 0 13.638 * [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))) 13.638 * [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)))) 13.640 * [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))) 13.640 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 13.640 * [backup-simplify]: Simplify (exp 0) into 1 13.640 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) in U 13.640 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 13.640 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 13.640 * [taylor]: Taking taylor expansion of 1/6 in U 13.640 * [backup-simplify]: Simplify 1/6 into 1/6 13.640 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 13.640 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 13.640 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 13.640 * [taylor]: Taking taylor expansion of 1/4 in U 13.640 * [backup-simplify]: Simplify 1/4 into 1/4 13.640 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 13.641 * [taylor]: Taking taylor expansion of (pow J 2) in U 13.641 * [taylor]: Taking taylor expansion of J in U 13.641 * [backup-simplify]: Simplify J into J 13.641 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 13.641 * [taylor]: Taking taylor expansion of (pow U 2) in U 13.641 * [taylor]: Taking taylor expansion of U in U 13.641 * [backup-simplify]: Simplify 0 into 0 13.641 * [backup-simplify]: Simplify 1 into 1 13.641 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 13.641 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 13.641 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 13.641 * [taylor]: Taking taylor expansion of 1/2 in U 13.641 * [backup-simplify]: Simplify 1/2 into 1/2 13.641 * [taylor]: Taking taylor expansion of K in U 13.641 * [backup-simplify]: Simplify K into K 13.641 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.641 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.641 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 13.641 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.641 * [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 (* J J) into (pow J 2) 13.642 * [backup-simplify]: Simplify (* 1 1) into 1 13.642 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 13.642 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 13.642 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 13.642 * [taylor]: Taking taylor expansion of 1 in U 13.642 * [backup-simplify]: Simplify 1 into 1 13.642 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 13.642 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 13.642 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 13.643 * [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))) 13.643 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 13.643 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 13.643 * [taylor]: Taking taylor expansion of (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) in U 13.643 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in U 13.643 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in U 13.643 * [taylor]: Taking taylor expansion of 1/6 in U 13.643 * [backup-simplify]: Simplify 1/6 into 1/6 13.643 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 13.643 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 13.643 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 13.643 * [taylor]: Taking taylor expansion of 1/4 in U 13.643 * [backup-simplify]: Simplify 1/4 into 1/4 13.643 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 13.643 * [taylor]: Taking taylor expansion of (pow J 2) in U 13.643 * [taylor]: Taking taylor expansion of J in U 13.643 * [backup-simplify]: Simplify J into J 13.643 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 13.643 * [taylor]: Taking taylor expansion of (pow U 2) in U 13.643 * [taylor]: Taking taylor expansion of U in U 13.643 * [backup-simplify]: Simplify 0 into 0 13.643 * [backup-simplify]: Simplify 1 into 1 13.643 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 13.643 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 13.643 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 13.643 * [taylor]: Taking taylor expansion of 1/2 in U 13.643 * [backup-simplify]: Simplify 1/2 into 1/2 13.643 * [taylor]: Taking taylor expansion of K in U 13.643 * [backup-simplify]: Simplify K into K 13.644 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.644 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.644 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 13.644 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.644 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 13.644 * [backup-simplify]: Simplify (- 0) into 0 13.644 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 13.644 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.645 * [backup-simplify]: Simplify (* 1 1) into 1 13.645 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 13.645 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 13.645 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 13.645 * [taylor]: Taking taylor expansion of 1 in U 13.645 * [backup-simplify]: Simplify 1 into 1 13.645 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 13.645 * [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))) 13.645 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 13.646 * [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))) 13.646 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 13.646 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 13.646 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 13.646 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 13.646 * [taylor]: Taking taylor expansion of 1/6 in J 13.646 * [backup-simplify]: Simplify 1/6 into 1/6 13.646 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 13.646 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 13.646 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 13.646 * [taylor]: Taking taylor expansion of 1/4 in J 13.646 * [backup-simplify]: Simplify 1/4 into 1/4 13.646 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 13.646 * [taylor]: Taking taylor expansion of (pow J 2) in J 13.646 * [taylor]: Taking taylor expansion of J in J 13.646 * [backup-simplify]: Simplify 0 into 0 13.646 * [backup-simplify]: Simplify 1 into 1 13.646 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 13.646 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 13.646 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 13.646 * [taylor]: Taking taylor expansion of 1/2 in J 13.646 * [backup-simplify]: Simplify 1/2 into 1/2 13.646 * [taylor]: Taking taylor expansion of K in J 13.646 * [backup-simplify]: Simplify K into K 13.646 * [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)) 13.647 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.647 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 13.647 * [backup-simplify]: Simplify (- 0) into 0 13.647 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 13.647 * [backup-simplify]: Simplify (* 1 1) into 1 13.647 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 13.647 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 13.647 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 13.648 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 13.648 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 13.648 * [taylor]: Taking taylor expansion of 2 in J 13.648 * [backup-simplify]: Simplify 2 into 2 13.648 * [taylor]: Taking taylor expansion of (log U) in J 13.648 * [taylor]: Taking taylor expansion of U in J 13.648 * [backup-simplify]: Simplify U into U 13.648 * [backup-simplify]: Simplify (log U) into (log U) 13.648 * [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)))) 13.648 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 13.648 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 13.648 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 13.648 * [backup-simplify]: Simplify (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 13.649 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 13.649 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 13.649 * [taylor]: Taking taylor expansion of (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 13.649 * [taylor]: Taking taylor expansion of 1/6 in K 13.649 * [backup-simplify]: Simplify 1/6 into 1/6 13.649 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 13.649 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) in K 13.649 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 13.649 * [taylor]: Taking taylor expansion of 2 in K 13.649 * [backup-simplify]: Simplify 2 into 2 13.649 * [taylor]: Taking taylor expansion of (log J) in K 13.649 * [taylor]: Taking taylor expansion of J in K 13.649 * [backup-simplify]: Simplify J into J 13.649 * [backup-simplify]: Simplify (log J) into (log J) 13.649 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) in K 13.649 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K 13.649 * [taylor]: Taking taylor expansion of 1/4 in K 13.649 * [backup-simplify]: Simplify 1/4 into 1/4 13.649 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 13.649 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 13.649 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 13.649 * [taylor]: Taking taylor expansion of 1/2 in K 13.649 * [backup-simplify]: Simplify 1/2 into 1/2 13.649 * [taylor]: Taking taylor expansion of K in K 13.649 * [backup-simplify]: Simplify 0 into 0 13.649 * [backup-simplify]: Simplify 1 into 1 13.649 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.649 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.650 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 13.650 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 13.650 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 13.650 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 13.650 * [taylor]: Taking taylor expansion of 2 in K 13.650 * [backup-simplify]: Simplify 2 into 2 13.650 * [taylor]: Taking taylor expansion of (log U) in K 13.650 * [taylor]: Taking taylor expansion of U in K 13.650 * [backup-simplify]: Simplify U into U 13.650 * [backup-simplify]: Simplify (log U) into (log U) 13.650 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 13.650 * [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)))) 13.650 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 13.650 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 13.650 * [backup-simplify]: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 13.650 * [backup-simplify]: Simplify (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 13.651 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 13.651 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 13.651 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 13.651 * [backup-simplify]: Simplify (+ 0) into 0 13.652 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 13.652 * [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 13.653 * [backup-simplify]: Simplify (- 0) into 0 13.653 * [backup-simplify]: Simplify (+ 0 0) into 0 13.653 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 13.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.654 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 13.654 * [backup-simplify]: 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 13.654 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 13.655 * [backup-simplify]: Simplify (+ 0 0) into 0 13.655 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 13.656 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 13.656 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 13.657 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.657 * [taylor]: Taking taylor expansion of 0 in J 13.657 * [backup-simplify]: Simplify 0 into 0 13.657 * [taylor]: Taking taylor expansion of 0 in K 13.657 * [backup-simplify]: Simplify 0 into 0 13.657 * [backup-simplify]: Simplify 0 into 0 13.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.658 * [backup-simplify]: Simplify (+ 0) into 0 13.658 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 13.658 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 13.658 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.659 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 13.659 * [backup-simplify]: Simplify (- 0) into 0 13.659 * [backup-simplify]: Simplify (+ 0 0) into 0 13.659 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 13.660 * [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 13.660 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 13.661 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 13.661 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 13.662 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 13.662 * [backup-simplify]: Simplify (- 0) into 0 13.662 * [backup-simplify]: Simplify (+ 0 0) into 0 13.662 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 13.663 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 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 13.664 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 13.664 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 13.664 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 13.664 * [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 13.665 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 13.665 * [backup-simplify]: Simplify (+ 0 0) into 0 13.666 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 13.666 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 13.666 * [backup-simplify]: Simplify (- 0) into 0 13.666 * [backup-simplify]: Simplify (+ 0 0) into 0 13.667 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 13.667 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.667 * [backup-simplify]: Simplify 0 into 0 13.668 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 13.668 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.669 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.669 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.669 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.670 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.670 * [backup-simplify]: Simplify (- 0) into 0 13.670 * [backup-simplify]: Simplify (+ 0 0) into 0 13.671 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 13.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 13.672 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 13.673 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 13.673 * [backup-simplify]: Simplify (+ 0 1) into 1 13.674 * [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))) 13.675 * [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))) 13.675 * [backup-simplify]: Simplify (+ (* 1/6 (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into (* 2/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 13.676 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 2/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 2/3 (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) 13.676 * [taylor]: Taking taylor expansion of (* 2/3 (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) in J 13.676 * [taylor]: Taking taylor expansion of 2/3 in J 13.676 * [backup-simplify]: Simplify 2/3 into 2/3 13.676 * [taylor]: Taking taylor expansion of (/ (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in J 13.676 * [taylor]: Taking taylor expansion of (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in J 13.676 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J 13.676 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 13.676 * [taylor]: Taking taylor expansion of 1/6 in J 13.676 * [backup-simplify]: Simplify 1/6 into 1/6 13.676 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 13.676 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 13.676 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 13.676 * [taylor]: Taking taylor expansion of 1/4 in J 13.676 * [backup-simplify]: Simplify 1/4 into 1/4 13.676 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 13.676 * [taylor]: Taking taylor expansion of (pow J 2) in J 13.676 * [taylor]: Taking taylor expansion of J in J 13.676 * [backup-simplify]: Simplify 0 into 0 13.676 * [backup-simplify]: Simplify 1 into 1 13.676 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 13.676 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 13.676 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 13.676 * [taylor]: Taking taylor expansion of 1/2 in J 13.676 * [backup-simplify]: Simplify 1/2 into 1/2 13.676 * [taylor]: Taking taylor expansion of K in J 13.676 * [backup-simplify]: Simplify K into K 13.676 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.676 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.676 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 13.677 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.677 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 13.677 * [backup-simplify]: Simplify (- 0) into 0 13.677 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 13.677 * [backup-simplify]: Simplify (* 1 1) into 1 13.677 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 13.678 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 13.678 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 13.678 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 13.678 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 13.678 * [taylor]: Taking taylor expansion of 2 in J 13.678 * [backup-simplify]: Simplify 2 into 2 13.678 * [taylor]: Taking taylor expansion of (log U) in J 13.678 * [taylor]: Taking taylor expansion of U in J 13.678 * [backup-simplify]: Simplify U into U 13.678 * [backup-simplify]: Simplify (log U) into (log U) 13.679 * [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)))) 13.679 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 13.679 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 13.679 * [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))) 13.679 * [backup-simplify]: Simplify (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) 13.680 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 13.680 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 13.680 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 13.680 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 13.680 * [taylor]: Taking taylor expansion of 1/2 in J 13.680 * [backup-simplify]: Simplify 1/2 into 1/2 13.680 * [taylor]: Taking taylor expansion of K in J 13.680 * [backup-simplify]: Simplify K into K 13.680 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.680 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 13.680 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 13.680 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 13.680 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 13.681 * [backup-simplify]: Simplify (- 0) into 0 13.681 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 13.681 * [taylor]: Taking taylor expansion of (pow J 2) in J 13.681 * [taylor]: Taking taylor expansion of J in J 13.681 * [backup-simplify]: Simplify 0 into 0 13.681 * [backup-simplify]: Simplify 1 into 1 13.681 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 13.682 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 13.682 * [backup-simplify]: Simplify (* 1 1) into 1 13.683 * [backup-simplify]: Simplify (/ (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 1) into (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 13.683 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 13.684 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.684 * [backup-simplify]: Simplify (+ 0) into 0 13.685 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.685 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.686 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) 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) (* 0 0))) into 0 13.688 * [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 1)) into 0 13.689 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 13.689 * [backup-simplify]: Simplify (- 0) into 0 13.690 * [backup-simplify]: Simplify (+ 0 0) into 0 13.690 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 13.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.691 * [backup-simplify]: Simplify (+ 0) into 0 13.692 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 13.692 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 13.693 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.693 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 13.694 * [backup-simplify]: Simplify (- 0) into 0 13.694 * [backup-simplify]: Simplify (+ 0 0) into 0 13.695 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 13.695 * [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 13.695 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 13.696 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 13.697 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 13.698 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 13.698 * [backup-simplify]: Simplify (- 0) into 0 13.698 * [backup-simplify]: Simplify (+ 0 0) into 0 13.699 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 13.700 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.701 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 13.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.703 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.704 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.704 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.705 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.706 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.706 * [backup-simplify]: Simplify (- 0) into 0 13.706 * [backup-simplify]: Simplify (+ 0 0) into 0 13.707 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 13.708 * [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 13.708 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 13.710 * [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 13.712 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 13.713 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 13.714 * [backup-simplify]: Simplify (- 0) into 0 13.714 * [backup-simplify]: Simplify (+ 0 0) into 0 13.715 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 13.717 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.717 * [backup-simplify]: Simplify (+ (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 13.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.719 * [backup-simplify]: Simplify (+ (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 13.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)))) into 0 13.723 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.724 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2))))) into 0 13.724 * [taylor]: Taking taylor expansion of 0 in K 13.724 * [backup-simplify]: Simplify 0 into 0 13.724 * [backup-simplify]: Simplify 0 into 0 13.724 * [taylor]: Taking taylor expansion of 0 in K 13.724 * [backup-simplify]: Simplify 0 into 0 13.724 * [backup-simplify]: Simplify 0 into 0 13.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.726 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.732 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.732 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.733 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.734 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.734 * [backup-simplify]: Simplify (- 0) into 0 13.734 * [backup-simplify]: Simplify (+ 0 0) into 0 13.735 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 13.735 * [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 13.736 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 13.738 * [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 13.739 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 13.739 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 13.739 * [backup-simplify]: Simplify (- 0) into 0 13.740 * [backup-simplify]: Simplify (+ 0 0) into 0 13.740 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 13.741 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.741 * [taylor]: Taking taylor expansion of 0 in K 13.741 * [backup-simplify]: Simplify 0 into 0 13.741 * [backup-simplify]: Simplify 0 into 0 13.742 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log (/ 1 J))) (log (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)))) (* 2 (log (/ 1 U)))))) into (exp (* 1/6 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) 13.742 * [backup-simplify]: Simplify (cbrt (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))))) 1/6) 13.742 * [approximate]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) in (U J K) around 0 13.742 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) in K 13.742 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 13.742 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 13.742 * [taylor]: Taking taylor expansion of 1/6 in K 13.742 * [backup-simplify]: Simplify 1/6 into 1/6 13.742 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 13.742 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 13.742 * [taylor]: Taking taylor expansion of 1 in K 13.742 * [backup-simplify]: Simplify 1 into 1 13.742 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 13.742 * [taylor]: Taking taylor expansion of 1/4 in K 13.742 * [backup-simplify]: Simplify 1/4 into 1/4 13.742 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 13.742 * [taylor]: Taking taylor expansion of (pow J 2) in K 13.742 * [taylor]: Taking taylor expansion of J in K 13.742 * [backup-simplify]: Simplify J into J 13.742 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 13.742 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 13.742 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 13.742 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 13.742 * [taylor]: Taking taylor expansion of -1/2 in K 13.742 * [backup-simplify]: Simplify -1/2 into -1/2 13.743 * [taylor]: Taking taylor expansion of K in K 13.743 * [backup-simplify]: Simplify 0 into 0 13.743 * [backup-simplify]: Simplify 1 into 1 13.743 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 13.743 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.743 * [taylor]: Taking taylor expansion of (pow U 2) in K 13.743 * [taylor]: Taking taylor expansion of U in K 13.743 * [backup-simplify]: Simplify U into U 13.743 * [backup-simplify]: Simplify (* J J) into (pow J 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 (* U U) into (pow U 2) 13.743 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 13.743 * [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))) 13.743 * [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)))) 13.744 * [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))))) 13.744 * [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)))))) 13.744 * [backup-simplify]: Simplify (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) 13.744 * [backup-simplify]: Simplify (exp (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) 13.744 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) in J 13.744 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 13.744 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 13.744 * [taylor]: Taking taylor expansion of 1/6 in J 13.745 * [backup-simplify]: Simplify 1/6 into 1/6 13.745 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 13.745 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 13.745 * [taylor]: Taking taylor expansion of 1 in J 13.745 * [backup-simplify]: Simplify 1 into 1 13.745 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 13.745 * [taylor]: Taking taylor expansion of 1/4 in J 13.745 * [backup-simplify]: Simplify 1/4 into 1/4 13.745 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 13.745 * [taylor]: Taking taylor expansion of (pow J 2) in J 13.745 * [taylor]: Taking taylor expansion of J in J 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) (pow U 2)) in J 13.745 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 13.745 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 13.745 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 13.745 * [taylor]: Taking taylor expansion of -1/2 in J 13.745 * [backup-simplify]: Simplify -1/2 into -1/2 13.745 * [taylor]: Taking taylor expansion of K in J 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 13.745 * [backup-simplify]: Simplify (- 0) into 0 13.745 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 13.745 * [taylor]: Taking taylor expansion of (pow U 2) in J 13.745 * [taylor]: Taking taylor expansion of U in J 13.745 * [backup-simplify]: Simplify U into U 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 (* U U) into (pow U 2) 13.746 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 13.746 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 13.746 * [backup-simplify]: Simplify (+ 1 0) into 1 13.747 * [backup-simplify]: Simplify (log 1) into 0 13.747 * [backup-simplify]: Simplify (* 1/6 0) into 0 13.747 * [backup-simplify]: Simplify (+ 0 0) into 0 13.748 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 13.748 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 0)) into 0 13.748 * [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))) 13.748 * [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)))) 13.750 * [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))) 13.750 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/24 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 13.750 * [backup-simplify]: Simplify (exp 0) into 1 13.750 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) in U 13.750 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 13.750 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 13.750 * [taylor]: Taking taylor expansion of 1/6 in U 13.750 * [backup-simplify]: Simplify 1/6 into 1/6 13.750 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 13.750 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 13.750 * [taylor]: Taking taylor expansion of 1 in U 13.750 * [backup-simplify]: Simplify 1 into 1 13.750 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 13.750 * [taylor]: Taking taylor expansion of 1/4 in U 13.750 * [backup-simplify]: Simplify 1/4 into 1/4 13.750 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 13.750 * [taylor]: Taking taylor expansion of (pow J 2) in U 13.750 * [taylor]: Taking taylor expansion of J in U 13.751 * [backup-simplify]: Simplify J into J 13.751 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 13.751 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) 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 * [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 * [taylor]: Taking taylor expansion of (pow U 2) in U 13.751 * [taylor]: Taking taylor expansion of U in U 13.751 * [backup-simplify]: Simplify 0 into 0 13.751 * [backup-simplify]: Simplify 1 into 1 13.751 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.751 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 13.752 * [backup-simplify]: Simplify (* 1 1) into 1 13.752 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 13.752 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 13.752 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 13.752 * [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))) 13.752 * [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)))) 13.753 * [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))) 13.753 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 13.753 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 13.753 * [taylor]: Taking taylor expansion of (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/6) in U 13.753 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 13.753 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 13.753 * [taylor]: Taking taylor expansion of 1/6 in U 13.753 * [backup-simplify]: Simplify 1/6 into 1/6 13.753 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 13.753 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 13.753 * [taylor]: Taking taylor expansion of 1 in U 13.753 * [backup-simplify]: Simplify 1 into 1 13.753 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 13.753 * [taylor]: Taking taylor expansion of 1/4 in U 13.753 * [backup-simplify]: Simplify 1/4 into 1/4 13.753 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 13.753 * [taylor]: Taking taylor expansion of (pow J 2) in U 13.753 * [taylor]: Taking taylor expansion of J in U 13.753 * [backup-simplify]: Simplify J into J 13.753 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 13.753 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 13.753 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 13.753 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 13.753 * [taylor]: Taking taylor expansion of -1/2 in U 13.753 * [backup-simplify]: Simplify -1/2 into -1/2 13.753 * [taylor]: Taking taylor expansion of K in U 13.753 * [backup-simplify]: Simplify K into K 13.753 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 13.753 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.754 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 13.754 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.754 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 13.754 * [backup-simplify]: Simplify (- 0) into 0 13.754 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 13.754 * [taylor]: Taking taylor expansion of (pow U 2) in U 13.754 * [taylor]: Taking taylor expansion of U in U 13.754 * [backup-simplify]: Simplify 0 into 0 13.754 * [backup-simplify]: Simplify 1 into 1 13.754 * [backup-simplify]: Simplify (* J J) into (pow J 2) 13.754 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 13.755 * [backup-simplify]: Simplify (* 1 1) into 1 13.755 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 13.755 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 13.755 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 13.755 * [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))) 13.755 * [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)))) 13.756 * [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))) 13.756 * [backup-simplify]: Simplify (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 13.756 * [backup-simplify]: Simplify (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 13.756 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 13.756 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 13.756 * [taylor]: Taking taylor expansion of 1/6 in J 13.756 * [backup-simplify]: Simplify 1/6 into 1/6 13.756 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 13.756 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 13.756 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 13.756 * [taylor]: Taking taylor expansion of 1/4 in J 13.756 * [backup-simplify]: Simplify 1/4 into 1/4 13.756 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 13.756 * [taylor]: Taking taylor expansion of (pow J 2) in J 13.756 * [taylor]: Taking taylor expansion of J in J 13.756 * [backup-simplify]: Simplify 0 into 0 13.756 * [backup-simplify]: Simplify 1 into 1 13.756 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 13.756 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 13.756 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 13.756 * [taylor]: Taking taylor expansion of -1/2 in J 13.756 * [backup-simplify]: Simplify -1/2 into -1/2 13.756 * [taylor]: Taking taylor expansion of K in J 13.756 * [backup-simplify]: Simplify K into K 13.756 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 13.756 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.756 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 13.756 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.757 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 13.757 * [backup-simplify]: Simplify (- 0) into 0 13.757 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 13.757 * [backup-simplify]: Simplify (* 1 1) into 1 13.757 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 13.757 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 13.757 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 13.757 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 13.757 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 13.757 * [taylor]: Taking taylor expansion of 2 in J 13.758 * [backup-simplify]: Simplify 2 into 2 13.758 * [taylor]: Taking taylor expansion of (log U) in J 13.758 * [taylor]: Taking taylor expansion of U in J 13.758 * [backup-simplify]: Simplify U into U 13.758 * [backup-simplify]: Simplify (log U) into (log U) 13.758 * [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)))) 13.758 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 13.758 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 13.758 * [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))) 13.758 * [backup-simplify]: Simplify (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 13.759 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 13.759 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 13.759 * [taylor]: Taking taylor expansion of (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 13.759 * [taylor]: Taking taylor expansion of 1/6 in K 13.759 * [backup-simplify]: Simplify 1/6 into 1/6 13.759 * [taylor]: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 13.759 * [taylor]: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) in K 13.759 * [taylor]: Taking taylor expansion of (* 2 (log J)) in K 13.759 * [taylor]: Taking taylor expansion of 2 in K 13.759 * [backup-simplify]: Simplify 2 into 2 13.759 * [taylor]: Taking taylor expansion of (log J) in K 13.759 * [taylor]: Taking taylor expansion of J in K 13.759 * [backup-simplify]: Simplify J into J 13.759 * [backup-simplify]: Simplify (log J) into (log J) 13.759 * [taylor]: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) in K 13.759 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K 13.759 * [taylor]: Taking taylor expansion of 1/4 in K 13.759 * [backup-simplify]: Simplify 1/4 into 1/4 13.759 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 13.759 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 13.759 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 13.759 * [taylor]: Taking taylor expansion of -1/2 in K 13.759 * [backup-simplify]: Simplify -1/2 into -1/2 13.759 * [taylor]: Taking taylor expansion of K in K 13.759 * [backup-simplify]: Simplify 0 into 0 13.759 * [backup-simplify]: Simplify 1 into 1 13.759 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 13.759 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.759 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 13.759 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 13.760 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 13.760 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 13.760 * [taylor]: Taking taylor expansion of 2 in K 13.760 * [backup-simplify]: Simplify 2 into 2 13.760 * [taylor]: Taking taylor expansion of (log U) in K 13.760 * [taylor]: Taking taylor expansion of U in K 13.760 * [backup-simplify]: Simplify U into U 13.760 * [backup-simplify]: Simplify (log U) into (log U) 13.760 * [backup-simplify]: Simplify (* 2 (log J)) into (* 2 (log J)) 13.760 * [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)))) 13.760 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 13.760 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 13.760 * [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))) 13.760 * [backup-simplify]: Simplify (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 13.760 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 13.761 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 13.761 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 13.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.761 * [backup-simplify]: Simplify (+ 0) into 0 13.762 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 13.762 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 13.762 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.763 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 13.763 * [backup-simplify]: Simplify (- 0) into 0 13.763 * [backup-simplify]: Simplify (+ 0 0) into 0 13.763 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 13.764 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 13.764 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 13.764 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 13.764 * [backup-simplify]: Simplify (+ 0 0) into 0 13.765 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 13.766 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 13.766 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 13.768 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.768 * [taylor]: Taking taylor expansion of 0 in J 13.768 * [backup-simplify]: Simplify 0 into 0 13.768 * [taylor]: Taking taylor expansion of 0 in K 13.768 * [backup-simplify]: Simplify 0 into 0 13.768 * [backup-simplify]: Simplify 0 into 0 13.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.769 * [backup-simplify]: Simplify (+ 0) into 0 13.769 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 13.770 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 13.770 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.771 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 13.771 * [backup-simplify]: Simplify (- 0) into 0 13.772 * [backup-simplify]: Simplify (+ 0 0) into 0 13.772 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 13.772 * [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 13.773 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 13.773 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 13.774 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 13.775 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 13.775 * [backup-simplify]: Simplify (- 0) into 0 13.775 * [backup-simplify]: Simplify (+ 0 0) into 0 13.776 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 13.777 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.777 * [taylor]: Taking taylor expansion of 0 in K 13.777 * [backup-simplify]: Simplify 0 into 0 13.777 * [backup-simplify]: Simplify 0 into 0 13.778 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 13.779 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log J))) into 0 13.779 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 13.779 * [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 13.781 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 13.781 * [backup-simplify]: Simplify (+ 0 0) into 0 13.782 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 13.783 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 13.783 * [backup-simplify]: Simplify (- 0) into 0 13.784 * [backup-simplify]: Simplify (+ 0 0) into 0 13.784 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 13.785 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.785 * [backup-simplify]: Simplify 0 into 0 13.786 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 13.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.788 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.789 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.789 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.789 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.790 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.790 * [backup-simplify]: Simplify (- 0) into 0 13.791 * [backup-simplify]: Simplify (+ 0 0) into 0 13.791 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 13.792 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 13.793 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 13.794 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 13.794 * [backup-simplify]: Simplify (+ 1 0) into 1 13.796 * [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))) 13.797 * [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))) 13.798 * [backup-simplify]: Simplify (+ (* 1/6 (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* 2/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 13.799 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 2/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 2/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) 13.799 * [taylor]: Taking taylor expansion of (* 2/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) in J 13.799 * [taylor]: Taking taylor expansion of 2/3 in J 13.800 * [backup-simplify]: Simplify 2/3 into 2/3 13.800 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in J 13.800 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in J 13.800 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 13.800 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 13.800 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 13.800 * [taylor]: Taking taylor expansion of -1/2 in J 13.800 * [backup-simplify]: Simplify -1/2 into -1/2 13.800 * [taylor]: Taking taylor expansion of K in J 13.800 * [backup-simplify]: Simplify K into K 13.800 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 13.800 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.800 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 13.800 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.800 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 13.801 * [backup-simplify]: Simplify (- 0) into 0 13.801 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 13.801 * [taylor]: Taking taylor expansion of (exp (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J 13.801 * [taylor]: Taking taylor expansion of (* 1/6 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 13.801 * [taylor]: Taking taylor expansion of 1/6 in J 13.801 * [backup-simplify]: Simplify 1/6 into 1/6 13.801 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 13.801 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 13.801 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 13.801 * [taylor]: Taking taylor expansion of 1/4 in J 13.801 * [backup-simplify]: Simplify 1/4 into 1/4 13.801 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 13.801 * [taylor]: Taking taylor expansion of (pow J 2) in J 13.801 * [taylor]: Taking taylor expansion of J in J 13.801 * [backup-simplify]: Simplify 0 into 0 13.801 * [backup-simplify]: Simplify 1 into 1 13.801 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 13.801 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 13.801 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 13.802 * [taylor]: Taking taylor expansion of -1/2 in J 13.802 * [backup-simplify]: Simplify -1/2 into -1/2 13.802 * [taylor]: Taking taylor expansion of K in J 13.802 * [backup-simplify]: Simplify K into K 13.802 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 13.802 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 13.802 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 13.802 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 13.802 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 13.802 * [backup-simplify]: Simplify (- 0) into 0 13.803 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 13.803 * [backup-simplify]: Simplify (* 1 1) into 1 13.803 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 13.803 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 13.803 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 13.803 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 13.803 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 13.804 * [taylor]: Taking taylor expansion of 2 in J 13.804 * [backup-simplify]: Simplify 2 into 2 13.804 * [taylor]: Taking taylor expansion of (log U) in J 13.804 * [taylor]: Taking taylor expansion of U in J 13.804 * [backup-simplify]: Simplify U into U 13.804 * [backup-simplify]: Simplify (log U) into (log U) 13.804 * [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)))) 13.804 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 13.804 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 13.805 * [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))) 13.805 * [backup-simplify]: Simplify (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) 13.806 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) 13.806 * [taylor]: Taking taylor expansion of (pow J 2) in J 13.806 * [taylor]: Taking taylor expansion of J in J 13.806 * [backup-simplify]: Simplify 0 into 0 13.806 * [backup-simplify]: Simplify 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 (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 13.807 * [backup-simplify]: Simplify (* 1 1) into 1 13.807 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 1) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 13.808 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.808 * [backup-simplify]: Simplify (+ 0) into 0 13.809 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 13.809 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 13.810 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.810 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 13.811 * [backup-simplify]: Simplify (- 0) into 0 13.811 * [backup-simplify]: Simplify (+ 0 0) into 0 13.811 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 13.812 * [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 13.812 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 13.813 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 13.814 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 13.815 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 13.815 * [backup-simplify]: Simplify (- 0) into 0 13.815 * [backup-simplify]: Simplify (+ 0 0) into 0 13.816 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 13.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.818 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.819 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.819 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.820 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.821 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.821 * [backup-simplify]: Simplify (- 0) into 0 13.821 * [backup-simplify]: Simplify (+ 0 0) into 0 13.822 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 13.822 * [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 13.824 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 13.826 * [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 13.828 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 13.829 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 13.830 * [backup-simplify]: Simplify (- 0) into 0 13.830 * [backup-simplify]: Simplify (+ 0 0) into 0 13.831 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 13.833 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.833 * [backup-simplify]: Simplify (+ 0) into 0 13.834 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 13.834 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 13.835 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.835 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 13.835 * [backup-simplify]: Simplify (- 0) into 0 13.836 * [backup-simplify]: Simplify (+ 0 0) into 0 13.836 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 13.837 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.838 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.839 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.839 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.840 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.840 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.841 * [backup-simplify]: Simplify (- 0) into 0 13.841 * [backup-simplify]: Simplify (+ 0 0) into 0 13.842 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 13.842 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))))) into 0 13.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.844 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))) into 0 13.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)))) into 0 13.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.849 * [backup-simplify]: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))))) into 0 13.849 * [taylor]: Taking taylor expansion of 0 in K 13.849 * [backup-simplify]: Simplify 0 into 0 13.849 * [backup-simplify]: Simplify 0 into 0 13.849 * [taylor]: Taking taylor expansion of 0 in K 13.849 * [backup-simplify]: Simplify 0 into 0 13.849 * [backup-simplify]: Simplify 0 into 0 13.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 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 13.851 * [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 13.852 * [backup-simplify]: Simplify (- 0) into 0 13.852 * [backup-simplify]: Simplify (+ 0 0) into 0 13.853 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 13.853 * [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 13.853 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 13.854 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 13.855 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 13.856 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 13.856 * [backup-simplify]: Simplify (- 0) into 0 13.856 * [backup-simplify]: Simplify (+ 0 0) into 0 13.857 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 13.858 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.858 * [taylor]: Taking taylor expansion of 0 in K 13.858 * [backup-simplify]: Simplify 0 into 0 13.858 * [backup-simplify]: Simplify 0 into 0 13.858 * [backup-simplify]: Simplify (exp (* 1/6 (- (+ (* 2 (log (/ 1 (- J)))) (log (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)))) (* 2 (log (/ 1 (- U))))))) into (exp (* 1/6 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 13.858 * * * [progress]: simplifying candidates 13.858 * * * * [progress]: [ 1 / 77 ] simplifiying candidate # 13.859 * * * * [progress]: [ 2 / 77 ] simplifiying candidate # 13.859 * * * * [progress]: [ 3 / 77 ] simplifiying candidate # 13.859 * * * * [progress]: [ 4 / 77 ] simplifiying candidate # 13.859 * * * * [progress]: [ 5 / 77 ] simplifiying candidate # 13.859 * * * * [progress]: [ 6 / 77 ] simplifiying candidate # 13.859 * * * * [progress]: [ 7 / 77 ] simplifiying candidate # 13.859 * * * * [progress]: [ 8 / 77 ] simplifiying candidate # 13.859 * * * * [progress]: [ 9 / 77 ] simplifiying candidate # 13.859 * * * * [progress]: [ 10 / 77 ] simplifiying candidate # 13.859 * * * * [progress]: [ 11 / 77 ] simplifiying candidate # 13.859 * * * * [progress]: [ 12 / 77 ] simplifiying candidate # 13.859 * * * * [progress]: [ 13 / 77 ] simplifiying candidate # 13.859 * * * * [progress]: [ 14 / 77 ] simplifiying candidate # 13.859 * * * * [progress]: [ 15 / 77 ] simplifiying candidate # 13.859 * * * * [progress]: [ 16 / 77 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))> 13.859 * * * * [progress]: [ 17 / 77 ] simplifiying candidate # 13.859 * * * * [progress]: [ 18 / 77 ] simplifiying candidate # 13.859 * * * * [progress]: [ 19 / 77 ] simplifiying candidate # 13.859 * * * * [progress]: [ 20 / 77 ] simplifiying candidate # 13.859 * * * * [progress]: [ 21 / 77 ] simplifiying candidate # 13.860 * * * * [progress]: [ 22 / 77 ] simplifiying candidate # 13.860 * * * * [progress]: [ 23 / 77 ] simplifiying candidate # 13.860 * * * * [progress]: [ 24 / 77 ] simplifiying candidate # 13.860 * * * * [progress]: [ 25 / 77 ] simplifiying candidate # 13.860 * * * * [progress]: [ 26 / 77 ] simplifiying candidate # 13.860 * * * * [progress]: [ 27 / 77 ] simplifiying candidate # 13.860 * * * * [progress]: [ 28 / 77 ] simplifiying candidate # 13.860 * * * * [progress]: [ 29 / 77 ] simplifiying candidate # 13.860 * * * * [progress]: [ 30 / 77 ] simplifiying candidate # 13.860 * * * * [progress]: [ 31 / 77 ] simplifiying candidate # 13.860 * * * * [progress]: [ 32 / 77 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))))) (* (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))> 13.860 * * * * [progress]: [ 33 / 77 ] simplifiying candidate # 13.860 * * * * [progress]: [ 34 / 77 ] simplifiying candidate # 13.860 * * * * [progress]: [ 35 / 77 ] simplifiying candidate # 13.860 * * * * [progress]: [ 36 / 77 ] simplifiying candidate # 13.860 * * * * [progress]: [ 37 / 77 ] simplifiying candidate # 13.860 * * * * [progress]: [ 38 / 77 ] simplifiying candidate # 13.860 * * * * [progress]: [ 39 / 77 ] simplifiying candidate # 13.860 * * * * [progress]: [ 40 / 77 ] simplifiying candidate # 13.861 * * * * [progress]: [ 41 / 77 ] simplifiying candidate # 13.861 * * * * [progress]: [ 42 / 77 ] simplifiying candidate # 13.861 * * * * [progress]: [ 43 / 77 ] simplifiying candidate # 13.861 * * * * [progress]: [ 44 / 77 ] simplifiying candidate # 13.861 * * * * [progress]: [ 45 / 77 ] simplifiying candidate # 13.861 * * * * [progress]: [ 46 / 77 ] simplifiying candidate # 13.861 * * * * [progress]: [ 47 / 77 ] simplifiying candidate # 13.861 * * * * [progress]: [ 48 / 77 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))))) (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (* (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (* (cos (/ K 2)) (* -2 J)))))> 13.861 * * * * [progress]: [ 49 / 77 ] simplifiying candidate # 13.861 * * * * [progress]: [ 50 / 77 ] simplifiying candidate # 13.861 * * * * [progress]: [ 51 / 77 ] simplifiying candidate # 13.861 * * * * [progress]: [ 52 / 77 ] simplifiying candidate # 13.861 * * * * [progress]: [ 53 / 77 ] simplifiying candidate # 13.861 * * * * [progress]: [ 54 / 77 ] simplifiying candidate # 13.861 * * * * [progress]: [ 55 / 77 ] simplifiying candidate # 13.861 * * * * [progress]: [ 56 / 77 ] simplifiying candidate # 13.861 * * * * [progress]: [ 57 / 77 ] simplifiying candidate # 13.861 * * * * [progress]: [ 58 / 77 ] simplifiying candidate # 13.861 * * * * [progress]: [ 59 / 77 ] simplifiying candidate # 13.861 * * * * [progress]: [ 60 / 77 ] simplifiying candidate # 13.862 * * * * [progress]: [ 61 / 77 ] simplifiying candidate # 13.862 * * * * [progress]: [ 62 / 77 ] simplifiying candidate # 13.862 * * * * [progress]: [ 63 / 77 ] simplifiying candidate # 13.862 * * * * [progress]: [ 64 / 77 ] simplifiying candidate # 13.862 * * * * [progress]: [ 65 / 77 ] simplifiying candidate #real (real->posit16 (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))))) (* (cos (/ K 2)) (* -2 J)))))> 13.862 * * * * [progress]: [ 66 / 77 ] simplifiying candidate # 13.862 * * * * [progress]: [ 67 / 77 ] simplifiying candidate # 13.862 * * * * [progress]: [ 68 / 77 ] simplifiying candidate # 13.862 * * * * [progress]: [ 69 / 77 ] simplifiying candidate # 13.862 * * * * [progress]: [ 70 / 77 ] simplifiying candidate # 13.862 * * * * [progress]: [ 71 / 77 ] simplifiying candidate # 13.862 * * * * [progress]: [ 72 / 77 ] simplifiying candidate # 13.862 * * * * [progress]: [ 73 / 77 ] simplifiying candidate # 13.862 * * * * [progress]: [ 74 / 77 ] simplifiying candidate # 13.862 * * * * [progress]: [ 75 / 77 ] simplifiying candidate # 13.862 * * * * [progress]: [ 76 / 77 ] simplifiying candidate # 13.862 * * * * [progress]: [ 77 / 77 ] simplifiying candidate # 13.867 * [simplify]: Simplifying (log (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (exp (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (* (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (* (* (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt (* (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (sqrt (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt 1), (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)), (sqrt (+ (pow (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 3) (pow 1 3))), (sqrt (+ (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (sqrt (- (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2)))))) (* 1 1))), (sqrt (- (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)), (/ 1 2), (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (real->posit16 (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (log (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (exp (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (* (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (* (* (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt (* (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (sqrt (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt 1), (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)), (sqrt (+ (pow (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 3) (pow 1 3))), (sqrt (+ (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (sqrt (- (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2)))))) (* 1 1))), (sqrt (- (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)), (/ 1 2), (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (real->posit16 (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (log (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (exp (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (* (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (* (* (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))) (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt (* (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)) (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (sqrt (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt 1), (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)), (sqrt (+ (pow (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 3) (pow 1 3))), (sqrt (+ (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2)))))) (- (* 1 1) (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (sqrt (- (* (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2)))))) (* 1 1))), (sqrt (- (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)), (/ 1 2), (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (real->posit16 (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (log (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (exp (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (cbrt (* (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 (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (cbrt (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))))), (cbrt (sqrt (cbrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (cbrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (cbrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (cbrt (sqrt 1)), (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (cbrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (cbrt (sqrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (cbrt 1), (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (cbrt (sqrt (+ (pow (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 3) (pow 1 3)))), (cbrt (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))))), (cbrt (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)))), (cbrt (sqrt (- (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))), (* (cbrt (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))) (cbrt (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1))))), (cbrt (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)))) (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (sqrt (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (sqrt (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), (real->posit16 (cbrt (sqrt (+ (* (/ U (* (+ J J) (cos (/ K 2)))) (/ U (* (+ J J) (cos (/ K 2))))) 1)))), 1, (* 1/2 (/ U (* (cos (* 1/2 K)) J))), (* 1/2 (/ U (* (cos (* 1/2 K)) J))), 1, (* 1/2 (/ U (* (cos (* 1/2 K)) J))), (* 1/2 (/ U (* (cos (* 1/2 K)) J))), 1, (* 1/2 (/ U (* (cos (* 1/2 K)) J))), (* 1/2 (/ U (* (cos (* 1/2 K)) J))), 1, (exp (* 1/6 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))), (exp (* 1/6 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 13.869 * * [simplify]: iteration 1: (91 enodes) 13.915 * * [simplify]: iteration 2: (340 enodes) 14.046 * * [simplify]: iteration 3: (653 enodes) 14.320 * * [simplify]: iteration 4: (1860 enodes) 17.546 * * [simplify]: Extracting #0: cost 33 inf + 0 17.547 * * [simplify]: Extracting #1: cost 178 inf + 2 17.550 * * [simplify]: Extracting #2: cost 524 inf + 498 17.560 * * [simplify]: Extracting #3: cost 1446 inf + 2012 17.579 * * [simplify]: Extracting #4: cost 2024 inf + 16621 17.603 * * [simplify]: Extracting #5: cost 1683 inf + 90646 17.718 * * [simplify]: Extracting #6: cost 668 inf + 470413 17.933 * * [simplify]: Extracting #7: cost 146 inf + 688673 18.226 * * [simplify]: Extracting #8: cost 5 inf + 764094 18.527 * * [simplify]: Extracting #9: cost 0 inf + 765619 18.826 * [simplify]: Simplified to (log (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1))), (exp (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1))), (* (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1))) (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1)))), (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1))), (* (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1) (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1))), (fabs (cbrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1))), (sqrt (cbrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1))), (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1))), (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1))), 1, (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1)), (sqrt (+ (* (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) (* (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))))) 1)), (sqrt (+ (* (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2))))) (- 1 (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2))))))), (sqrt (- (* (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2))))) 1)), (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) -1)), 1/2, (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1))), (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1))), (real->posit16 (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1))), (log (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1))), (exp (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1))), (* (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1))) (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1)))), (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1))), (* (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1) (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1))), (fabs (cbrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1))), (sqrt (cbrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1))), (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1))), (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1))), 1, (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1)), (sqrt (+ (* (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) (* (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))))) 1)), (sqrt (+ (* (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2))))) (- 1 (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2))))))), (sqrt (- (* (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2))))) 1)), (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) -1)), 1/2, (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1))), (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1))), (real->posit16 (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1))), (log (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1))), (exp (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1))), (* (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1))) (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1)))), (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1))), (* (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1) (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1))), (fabs (cbrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1))), (sqrt (cbrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1))), (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1))), (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1))), 1, (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1)), (sqrt (+ (* (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) (* (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))))) 1)), (sqrt (+ (* (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2))))) (- 1 (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2))))))), (sqrt (- (* (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2))))) 1)), (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) -1)), 1/2, (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1))), (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1))), (real->posit16 (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1))), (log (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1)))), (exp (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1)))), (cbrt (* (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1))) (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1))))), (cbrt (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1)))), (cbrt (fabs (cbrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1)))), (cbrt (sqrt (cbrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1)))), (cbrt (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1)))), (cbrt (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1)))), 1, (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1))), (cbrt (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1)))), (cbrt (sqrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1)))), 1, (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1))), (cbrt (sqrt (+ (* (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) (* (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))))) 1))), (cbrt (sqrt (+ (* (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2))))) (- 1 (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))))))), (cbrt (sqrt (- (* (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2))))) 1))), (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) -1))), (* (cbrt (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1)))) (cbrt (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1))))), (cbrt (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1)))), (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1)), (sqrt (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1)))), (sqrt (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1)))), (real->posit16 (cbrt (sqrt (+ (* (/ (/ U (+ J J)) (cos (* K 1/2))) (/ (/ U (+ J J)) (cos (* K 1/2)))) 1)))), 1, (* (/ U J) (/ 1/2 (cos (* K 1/2)))), (* (/ U J) (/ 1/2 (cos (* K 1/2)))), 1, (* (/ U J) (/ 1/2 (cos (* K 1/2)))), (* (/ U J) (/ 1/2 (cos (* K 1/2)))), 1, (* (/ U J) (/ 1/2 (cos (* K 1/2)))), (* (/ U J) (/ 1/2 (cos (* K 1/2)))), 1, (exp (* (+ (log (/ 1/4 (* (cos (* K 1/2)) (cos (* K 1/2))))) (* -2 (- (log J) (log U)))) 1/6)), (exp (+ (* 1/6 (log (/ 1/4 (* (cos (* K 1/2)) (cos (* K 1/2)))))) (* (- (log (/ -1 J)) (log (/ -1 U))) 1/3))) 18.857 * * * [progress]: adding candidates to table 20.225 * [progress]: [Phase 3 of 3] Extracting. 20.225 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 20.228 * * * [regime-changes]: Trying 5 branch expressions: (U K (/ K 2) (cos (/ K 2)) J) 20.228 * * * * [regimes]: Trying to branch on U from (# # # # # # # # #) 20.325 * * * * [regimes]: Trying to branch on K from (# # # # # # # # #) 20.437 * * * * [regimes]: Trying to branch on (/ K 2) from (# # # # # # # # #) 20.527 * * * * [regimes]: Trying to branch on (cos (/ K 2)) from (# # # # # # # # #) 20.614 * * * * [regimes]: Trying to branch on J from (# # # # # # # # #) 20.709 * * * [regime]: Found split indices: #