32.455 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.182 * * * [progress]: [2/2] Setting up program. 0.187 * [progress]: [Phase 2 of 3] Improving. 0.187 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.187 * [simplify]: Simplifying: (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 0.187 * * [simplify]: iteration 0: 17 enodes 0.191 * * [simplify]: iteration 1: 36 enodes 0.199 * * [simplify]: iteration 2: 81 enodes 0.219 * * [simplify]: iteration 3: 215 enodes 0.333 * * [simplify]: iteration 4: 782 enodes 0.721 * * [simplify]: iteration 5: 2090 enodes 1.047 * * [simplify]: iteration complete: 2090 enodes 1.047 * * [simplify]: Extracting #0: cost 1 inf + 0 1.047 * * [simplify]: Extracting #1: cost 91 inf + 0 1.048 * * [simplify]: Extracting #2: cost 131 inf + 44 1.049 * * [simplify]: Extracting #3: cost 117 inf + 717 1.050 * * [simplify]: Extracting #4: cost 341 inf + 1006 1.057 * * [simplify]: Extracting #5: cost 509 inf + 21867 1.081 * * [simplify]: Extracting #6: cost 316 inf + 82822 1.113 * * [simplify]: Extracting #7: cost 56 inf + 162896 1.153 * * [simplify]: Extracting #8: cost 2 inf + 188172 1.203 * * [simplify]: Extracting #9: cost 0 inf + 189122 1.268 * [simplify]: Simplified to: (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) 1.273 * * [progress]: iteration 1 / 4 1.273 * * * [progress]: picking best candidate 1.277 * * * * [pick]: Picked # 1.277 * * * [progress]: localizing error 1.318 * * * [progress]: generating rewritten candidates 1.318 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.433 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.665 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 1.783 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2) 1.809 * * * [progress]: generating series expansions 1.809 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.809 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 1.809 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0 1.809 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 1.810 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 1.810 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 1.810 * [taylor]: Taking taylor expansion of 1/4 in J 1.810 * [backup-simplify]: Simplify 1/4 into 1/4 1.810 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 1.810 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.810 * [taylor]: Taking taylor expansion of U in J 1.810 * [backup-simplify]: Simplify U into U 1.810 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 1.810 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 1.810 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.810 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.810 * [taylor]: Taking taylor expansion of 1/2 in J 1.810 * [backup-simplify]: Simplify 1/2 into 1/2 1.810 * [taylor]: Taking taylor expansion of K in J 1.810 * [backup-simplify]: Simplify K into K 1.810 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.810 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.810 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.810 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.810 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.811 * [backup-simplify]: Simplify (- 0) into 0 1.811 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.811 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.811 * [taylor]: Taking taylor expansion of J in J 1.811 * [backup-simplify]: Simplify 0 into 0 1.811 * [backup-simplify]: Simplify 1 into 1 1.811 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.811 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.811 * [backup-simplify]: Simplify (* 1 1) into 1 1.811 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 1.811 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 1.811 * [taylor]: Taking taylor expansion of 1 in J 1.811 * [backup-simplify]: Simplify 1 into 1 1.811 * [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))) 1.812 * [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))) 1.812 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 1.812 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.813 * [backup-simplify]: Simplify (+ 0) into 0 1.813 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.813 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.814 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.814 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.814 * [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 1.815 * [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 1.816 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 1.816 * [backup-simplify]: Simplify (+ 0 0) into 0 1.816 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 1.816 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 1.816 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 1.816 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 1.816 * [taylor]: Taking taylor expansion of 1/4 in K 1.816 * [backup-simplify]: Simplify 1/4 into 1/4 1.816 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.816 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.816 * [taylor]: Taking taylor expansion of U in K 1.816 * [backup-simplify]: Simplify U into U 1.816 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.816 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.816 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.816 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.816 * [taylor]: Taking taylor expansion of 1/2 in K 1.816 * [backup-simplify]: Simplify 1/2 into 1/2 1.816 * [taylor]: Taking taylor expansion of K in K 1.816 * [backup-simplify]: Simplify 0 into 0 1.816 * [backup-simplify]: Simplify 1 into 1 1.817 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.817 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.817 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.817 * [taylor]: Taking taylor expansion of J in K 1.817 * [backup-simplify]: Simplify J into J 1.817 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.818 * [backup-simplify]: Simplify (* 1 1) into 1 1.818 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.818 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.818 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 1.818 * [taylor]: Taking taylor expansion of 1 in K 1.818 * [backup-simplify]: Simplify 1 into 1 1.818 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 1.818 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1.818 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 1.818 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.818 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.819 * [backup-simplify]: Simplify (+ 0) into 0 1.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 1.820 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 1.820 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 1.820 * [backup-simplify]: Simplify (+ 0 0) into 0 1.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 1.820 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.820 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.820 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.820 * [taylor]: Taking taylor expansion of 1/4 in U 1.820 * [backup-simplify]: Simplify 1/4 into 1/4 1.820 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.820 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.820 * [taylor]: Taking taylor expansion of U in U 1.820 * [backup-simplify]: Simplify 0 into 0 1.821 * [backup-simplify]: Simplify 1 into 1 1.821 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.821 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.821 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.821 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.821 * [taylor]: Taking taylor expansion of 1/2 in U 1.821 * [backup-simplify]: Simplify 1/2 into 1/2 1.821 * [taylor]: Taking taylor expansion of K in U 1.821 * [backup-simplify]: Simplify K into K 1.821 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.821 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.821 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.821 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.821 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.821 * [backup-simplify]: Simplify (- 0) into 0 1.821 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.821 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.821 * [taylor]: Taking taylor expansion of J in U 1.821 * [backup-simplify]: Simplify J into J 1.821 * [backup-simplify]: Simplify (* 1 1) into 1 1.822 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.822 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.822 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.822 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.822 * [taylor]: Taking taylor expansion of 1 in U 1.822 * [backup-simplify]: Simplify 1 into 1 1.822 * [backup-simplify]: Simplify (+ 0 1) into 1 1.822 * [backup-simplify]: Simplify (sqrt 1) into 1 1.823 * [backup-simplify]: Simplify (+ 0 0) into 0 1.823 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.823 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.823 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.823 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.823 * [taylor]: Taking taylor expansion of 1/4 in U 1.823 * [backup-simplify]: Simplify 1/4 into 1/4 1.823 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.823 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.823 * [taylor]: Taking taylor expansion of U in U 1.823 * [backup-simplify]: Simplify 0 into 0 1.823 * [backup-simplify]: Simplify 1 into 1 1.823 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.823 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.823 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.823 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.823 * [taylor]: Taking taylor expansion of 1/2 in U 1.823 * [backup-simplify]: Simplify 1/2 into 1/2 1.823 * [taylor]: Taking taylor expansion of K in U 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)) 1.824 * [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 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.824 * [taylor]: Taking taylor expansion of J in U 1.824 * [backup-simplify]: Simplify J into J 1.824 * [backup-simplify]: Simplify (* 1 1) into 1 1.824 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.824 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.824 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.825 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.825 * [taylor]: Taking taylor expansion of 1 in U 1.825 * [backup-simplify]: Simplify 1 into 1 1.825 * [backup-simplify]: Simplify (+ 0 1) into 1 1.825 * [backup-simplify]: Simplify (sqrt 1) into 1 1.825 * [backup-simplify]: Simplify (+ 0 0) into 0 1.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.826 * [taylor]: Taking taylor expansion of 1 in K 1.826 * [backup-simplify]: Simplify 1 into 1 1.826 * [taylor]: Taking taylor expansion of 1 in J 1.826 * [backup-simplify]: Simplify 1 into 1 1.826 * [taylor]: Taking taylor expansion of 0 in K 1.826 * [backup-simplify]: Simplify 0 into 0 1.826 * [taylor]: Taking taylor expansion of 0 in J 1.826 * [backup-simplify]: Simplify 0 into 0 1.826 * [taylor]: Taking taylor expansion of 0 in J 1.826 * [backup-simplify]: Simplify 0 into 0 1.826 * [backup-simplify]: Simplify 1 into 1 1.826 * [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))) 1.826 * [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)))) 1.827 * [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))) 1.827 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.827 * [taylor]: Taking taylor expansion of 1/8 in K 1.827 * [backup-simplify]: Simplify 1/8 into 1/8 1.827 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.828 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.828 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.828 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.828 * [taylor]: Taking taylor expansion of 1/2 in K 1.828 * [backup-simplify]: Simplify 1/2 into 1/2 1.828 * [taylor]: Taking taylor expansion of K in K 1.828 * [backup-simplify]: Simplify 0 into 0 1.828 * [backup-simplify]: Simplify 1 into 1 1.829 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.829 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.829 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.829 * [taylor]: Taking taylor expansion of J in K 1.829 * [backup-simplify]: Simplify J into J 1.830 * [backup-simplify]: Simplify (* 1 1) into 1 1.830 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.830 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.830 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 1.830 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 1.830 * [taylor]: Taking taylor expansion of 1/8 in J 1.830 * [backup-simplify]: Simplify 1/8 into 1/8 1.830 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.830 * [taylor]: Taking taylor expansion of J in J 1.830 * [backup-simplify]: Simplify 0 into 0 1.830 * [backup-simplify]: Simplify 1 into 1 1.830 * [backup-simplify]: Simplify (* 1 1) into 1 1.831 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 1.831 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 1.832 * [backup-simplify]: Simplify 0 into 0 1.832 * [taylor]: Taking taylor expansion of 0 in J 1.832 * [backup-simplify]: Simplify 0 into 0 1.832 * [taylor]: Taking taylor expansion of 0 in J 1.832 * [backup-simplify]: Simplify 0 into 0 1.832 * [backup-simplify]: Simplify 0 into 0 1.832 * [backup-simplify]: Simplify 0 into 0 1.832 * [backup-simplify]: Simplify 0 into 0 1.833 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.833 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.833 * [backup-simplify]: Simplify (+ 0) into 0 1.834 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.834 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.835 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.836 * [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 1.837 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.837 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 1.837 * [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 1.838 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 1.838 * [backup-simplify]: Simplify (+ 0 0) into 0 1.839 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 1.839 * [taylor]: Taking taylor expansion of 0 in K 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [taylor]: Taking taylor expansion of 0 in J 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.840 * [backup-simplify]: Simplify (+ 0) into 0 1.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 1.841 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 1.841 * [taylor]: Taking taylor expansion of 0 in J 1.841 * [backup-simplify]: Simplify 0 into 0 1.841 * [taylor]: Taking taylor expansion of 0 in J 1.841 * [backup-simplify]: Simplify 0 into 0 1.841 * [taylor]: Taking taylor expansion of 0 in J 1.841 * [backup-simplify]: Simplify 0 into 0 1.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.844 * [backup-simplify]: Simplify 0 into 0 1.844 * [backup-simplify]: Simplify 0 into 0 1.844 * [backup-simplify]: Simplify 1 into 1 1.844 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J)))) (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 1.844 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0 1.844 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 1.844 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 1.844 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 1.845 * [taylor]: Taking taylor expansion of 1/4 in J 1.845 * [backup-simplify]: Simplify 1/4 into 1/4 1.845 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 1.845 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.845 * [taylor]: Taking taylor expansion of J in J 1.845 * [backup-simplify]: Simplify 0 into 0 1.845 * [backup-simplify]: Simplify 1 into 1 1.845 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 1.845 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.845 * [taylor]: Taking taylor expansion of U in J 1.845 * [backup-simplify]: Simplify U into U 1.845 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 1.845 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.845 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.845 * [taylor]: Taking taylor expansion of 1/2 in J 1.845 * [backup-simplify]: Simplify 1/2 into 1/2 1.845 * [taylor]: Taking taylor expansion of K in J 1.845 * [backup-simplify]: Simplify K into K 1.845 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.845 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.845 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.845 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.845 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.846 * [backup-simplify]: Simplify (- 0) into 0 1.846 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.846 * [backup-simplify]: Simplify (* 1 1) into 1 1.846 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.847 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.847 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.847 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 1.847 * [taylor]: Taking taylor expansion of 1 in J 1.847 * [backup-simplify]: Simplify 1 into 1 1.848 * [backup-simplify]: Simplify (+ 0 1) into 1 1.848 * [backup-simplify]: Simplify (sqrt 1) into 1 1.848 * [backup-simplify]: Simplify (+ 0 0) into 0 1.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.849 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 1.849 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 1.849 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 1.849 * [taylor]: Taking taylor expansion of 1/4 in K 1.849 * [backup-simplify]: Simplify 1/4 into 1/4 1.849 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 1.849 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.849 * [taylor]: Taking taylor expansion of J in K 1.849 * [backup-simplify]: Simplify J into J 1.849 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 1.849 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.849 * [taylor]: Taking taylor expansion of U in K 1.850 * [backup-simplify]: Simplify U into U 1.850 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 1.850 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.850 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.850 * [taylor]: Taking taylor expansion of 1/2 in K 1.850 * [backup-simplify]: Simplify 1/2 into 1/2 1.850 * [taylor]: Taking taylor expansion of K in K 1.850 * [backup-simplify]: Simplify 0 into 0 1.850 * [backup-simplify]: Simplify 1 into 1 1.850 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.850 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.850 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.850 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.851 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.851 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 1.851 * [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))) 1.851 * [taylor]: Taking taylor expansion of 1 in K 1.851 * [backup-simplify]: Simplify 1 into 1 1.851 * [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)))) 1.852 * [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) 1.852 * [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)) 1.852 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.852 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.853 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.853 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.853 * [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 1.854 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.855 * [backup-simplify]: Simplify (+ 0 0) into 0 1.855 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 1.856 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.856 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.856 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.856 * [taylor]: Taking taylor expansion of 1/4 in U 1.856 * [backup-simplify]: Simplify 1/4 into 1/4 1.856 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.856 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.856 * [taylor]: Taking taylor expansion of J in U 1.856 * [backup-simplify]: Simplify J into J 1.856 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.856 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.856 * [taylor]: Taking taylor expansion of U in U 1.856 * [backup-simplify]: Simplify 0 into 0 1.856 * [backup-simplify]: Simplify 1 into 1 1.856 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.856 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.856 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.856 * [taylor]: Taking taylor expansion of 1/2 in U 1.856 * [backup-simplify]: Simplify 1/2 into 1/2 1.856 * [taylor]: Taking taylor expansion of K in U 1.856 * [backup-simplify]: Simplify K into K 1.856 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.856 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.857 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.857 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.857 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.857 * [backup-simplify]: Simplify (- 0) into 0 1.858 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.858 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.858 * [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 (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.859 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.859 * [taylor]: Taking taylor expansion of 1 in U 1.859 * [backup-simplify]: Simplify 1 into 1 1.859 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.860 * [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))) 1.860 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.860 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.861 * [backup-simplify]: Simplify (+ 0) into 0 1.862 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.862 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.863 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.864 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.864 * [backup-simplify]: Simplify (- 0) into 0 1.865 * [backup-simplify]: Simplify (+ 0 0) into 0 1.865 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.867 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 1.868 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.868 * [backup-simplify]: Simplify (+ 0 0) into 0 1.868 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.868 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 1.868 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 1.868 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 1.868 * [taylor]: Taking taylor expansion of 1/4 in U 1.868 * [backup-simplify]: Simplify 1/4 into 1/4 1.869 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 1.869 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.869 * [taylor]: Taking taylor expansion of J in U 1.869 * [backup-simplify]: Simplify J into J 1.869 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 1.869 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.869 * [taylor]: Taking taylor expansion of U in U 1.869 * [backup-simplify]: Simplify 0 into 0 1.869 * [backup-simplify]: Simplify 1 into 1 1.869 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 1.869 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 1.869 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 1.869 * [taylor]: Taking taylor expansion of 1/2 in U 1.869 * [backup-simplify]: Simplify 1/2 into 1/2 1.869 * [taylor]: Taking taylor expansion of K in U 1.869 * [backup-simplify]: Simplify K into K 1.869 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.869 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.869 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.869 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.869 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.870 * [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 (* J J) into (pow J 2) 1.871 * [backup-simplify]: Simplify (* 1 1) into 1 1.871 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 1.871 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 1.871 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 1.871 * [taylor]: Taking taylor expansion of 1 in U 1.871 * [backup-simplify]: Simplify 1 into 1 1.871 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1.872 * [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))) 1.872 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.872 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.873 * [backup-simplify]: Simplify (+ 0) into 0 1.873 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.873 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.874 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.875 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.875 * [backup-simplify]: Simplify (- 0) into 0 1.875 * [backup-simplify]: Simplify (+ 0 0) into 0 1.876 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 1.876 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 1.877 * [backup-simplify]: 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 1.878 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 1.878 * [backup-simplify]: Simplify (+ 0 0) into 0 1.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 1.879 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 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 (/ J (cos (/ 1/2 K))) in K 1.879 * [taylor]: Taking taylor expansion of J in K 1.879 * [backup-simplify]: Simplify J into J 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 1.879 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.880 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.880 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 1.880 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 1.880 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 1.880 * [taylor]: Taking taylor expansion of 1/2 in J 1.880 * [backup-simplify]: Simplify 1/2 into 1/2 1.880 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 1.880 * [taylor]: Taking taylor expansion of J in J 1.880 * [backup-simplify]: Simplify 0 into 0 1.880 * [backup-simplify]: Simplify 1 into 1 1.880 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.880 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.880 * [taylor]: Taking taylor expansion of 1/2 in J 1.880 * [backup-simplify]: Simplify 1/2 into 1/2 1.880 * [taylor]: Taking taylor expansion of K in J 1.880 * [backup-simplify]: Simplify K into K 1.880 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.880 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.880 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.880 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.881 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.881 * [backup-simplify]: Simplify (- 0) into 0 1.881 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.881 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 1.881 * [taylor]: Taking taylor expansion of 0 in K 1.881 * [backup-simplify]: Simplify 0 into 0 1.881 * [taylor]: Taking taylor expansion of 0 in J 1.881 * [backup-simplify]: Simplify 0 into 0 1.881 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.882 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 1.882 * [taylor]: Taking taylor expansion of 0 in J 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 1.883 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 1.883 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.884 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.885 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.885 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.886 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.886 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.887 * [backup-simplify]: Simplify (- 0) into 0 1.887 * [backup-simplify]: Simplify (+ 0 0) into 0 1.888 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 1.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 1.890 * [backup-simplify]: 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 1.891 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 1.892 * [backup-simplify]: Simplify (+ 0 1) into 1 1.892 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 1.892 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 1.893 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 1.893 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.893 * [taylor]: Taking taylor expansion of 1/2 in K 1.893 * [backup-simplify]: Simplify 1/2 into 1/2 1.893 * [taylor]: Taking taylor expansion of K in K 1.893 * [backup-simplify]: Simplify 0 into 0 1.893 * [backup-simplify]: Simplify 1 into 1 1.893 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.893 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.893 * [taylor]: Taking taylor expansion of J in K 1.893 * [backup-simplify]: Simplify J into J 1.893 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 1.893 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 1.893 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 1.893 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 1.894 * [taylor]: Taking taylor expansion of 1/2 in J 1.894 * [backup-simplify]: Simplify 1/2 into 1/2 1.894 * [taylor]: Taking taylor expansion of K in J 1.894 * [backup-simplify]: Simplify K into K 1.894 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.894 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 1.894 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 1.894 * [taylor]: Taking taylor expansion of J in J 1.894 * [backup-simplify]: Simplify 0 into 0 1.894 * [backup-simplify]: Simplify 1 into 1 1.894 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.894 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 1.894 * [backup-simplify]: Simplify (- 0) into 0 1.895 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 1.895 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 1.895 * [backup-simplify]: Simplify (+ 0) into 0 1.896 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.896 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.897 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.897 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.897 * [backup-simplify]: Simplify (- 0) into 0 1.898 * [backup-simplify]: Simplify (+ 0 0) into 0 1.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 1.899 * [backup-simplify]: Simplify 0 into 0 1.899 * [taylor]: Taking taylor expansion of 0 in J 1.899 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 1.900 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 1.900 * [taylor]: Taking taylor expansion of 0 in J 1.900 * [backup-simplify]: Simplify 0 into 0 1.900 * [backup-simplify]: Simplify 0 into 0 1.900 * [backup-simplify]: Simplify 0 into 0 1.900 * [backup-simplify]: Simplify 0 into 0 1.901 * [backup-simplify]: Simplify (+ 0) into 0 1.901 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 1.901 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.902 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.903 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 1.903 * [backup-simplify]: Simplify (- 0) into 0 1.903 * [backup-simplify]: Simplify (+ 0 0) into 0 1.904 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 1.904 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 1.904 * [backup-simplify]: Simplify 0 into 0 1.905 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 1.905 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J))))) (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 1.905 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0 1.905 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 1.906 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 1.906 * [taylor]: Taking taylor expansion of 1 in J 1.906 * [backup-simplify]: Simplify 1 into 1 1.906 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 1.906 * [taylor]: Taking taylor expansion of 1/4 in J 1.906 * [backup-simplify]: Simplify 1/4 into 1/4 1.906 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 1.906 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.906 * [taylor]: Taking taylor expansion of J in J 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify 1 into 1 1.906 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 1.906 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 1.906 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.906 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.906 * [taylor]: Taking taylor expansion of -1/2 in J 1.906 * [backup-simplify]: Simplify -1/2 into -1/2 1.906 * [taylor]: Taking taylor expansion of K in J 1.906 * [backup-simplify]: Simplify K into K 1.906 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.906 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.906 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.906 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.906 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.907 * [backup-simplify]: Simplify (- 0) into 0 1.907 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.907 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.907 * [taylor]: Taking taylor expansion of U in J 1.907 * [backup-simplify]: Simplify U into U 1.908 * [backup-simplify]: Simplify (* 1 1) into 1 1.908 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.908 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.908 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.908 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 1.909 * [backup-simplify]: Simplify (+ 1 0) into 1 1.909 * [backup-simplify]: Simplify (sqrt 1) into 1 1.910 * [backup-simplify]: Simplify (+ 0 0) into 0 1.910 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.911 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 1.911 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 1.911 * [taylor]: Taking taylor expansion of 1 in K 1.911 * [backup-simplify]: Simplify 1 into 1 1.911 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 1.911 * [taylor]: Taking taylor expansion of 1/4 in K 1.911 * [backup-simplify]: Simplify 1/4 into 1/4 1.911 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 1.911 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.911 * [taylor]: Taking taylor expansion of J in K 1.911 * [backup-simplify]: Simplify J into J 1.911 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 1.911 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 1.911 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.911 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.911 * [taylor]: Taking taylor expansion of -1/2 in K 1.911 * [backup-simplify]: Simplify -1/2 into -1/2 1.911 * [taylor]: Taking taylor expansion of K in K 1.911 * [backup-simplify]: Simplify 0 into 0 1.911 * [backup-simplify]: Simplify 1 into 1 1.912 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.912 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.912 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.912 * [taylor]: Taking taylor expansion of U in K 1.912 * [backup-simplify]: Simplify U into U 1.912 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.912 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.912 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.912 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 1.913 * [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))) 1.913 * [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)))) 1.913 * [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))))) 1.914 * [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)))))) 1.914 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.914 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.914 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.914 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 1.915 * [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 1.916 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 1.916 * [backup-simplify]: Simplify (+ 0 0) into 0 1.917 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 1.917 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 1.917 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 1.917 * [taylor]: Taking taylor expansion of 1 in U 1.917 * [backup-simplify]: Simplify 1 into 1 1.917 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.917 * [taylor]: Taking taylor expansion of 1/4 in U 1.917 * [backup-simplify]: Simplify 1/4 into 1/4 1.917 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.917 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.917 * [taylor]: Taking taylor expansion of J in U 1.917 * [backup-simplify]: Simplify J into J 1.917 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.917 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.918 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.918 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.918 * [taylor]: Taking taylor expansion of -1/2 in U 1.918 * [backup-simplify]: Simplify -1/2 into -1/2 1.918 * [taylor]: Taking taylor expansion of K in U 1.918 * [backup-simplify]: Simplify K into K 1.918 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.918 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.918 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.918 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.918 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.919 * [backup-simplify]: Simplify (- 0) into 0 1.919 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.919 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.919 * [taylor]: Taking taylor expansion of U in U 1.919 * [backup-simplify]: Simplify 0 into 0 1.919 * [backup-simplify]: Simplify 1 into 1 1.919 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.919 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.919 * [backup-simplify]: Simplify (* 1 1) into 1 1.920 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.920 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.920 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1.920 * [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))) 1.920 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.921 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.922 * [backup-simplify]: Simplify (+ 0) into 0 1.922 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.922 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.923 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.924 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.924 * [backup-simplify]: Simplify (- 0) into 0 1.924 * [backup-simplify]: Simplify (+ 0 0) into 0 1.924 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.925 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.925 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 1.925 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.925 * [backup-simplify]: Simplify (+ 0 0) into 0 1.926 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.926 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 1.926 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 1.926 * [taylor]: Taking taylor expansion of 1 in U 1.926 * [backup-simplify]: Simplify 1 into 1 1.926 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 1.926 * [taylor]: Taking taylor expansion of 1/4 in U 1.926 * [backup-simplify]: Simplify 1/4 into 1/4 1.926 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 1.926 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.926 * [taylor]: Taking taylor expansion of J in U 1.926 * [backup-simplify]: Simplify J into J 1.926 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 1.926 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 1.926 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 1.926 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 1.926 * [taylor]: Taking taylor expansion of -1/2 in U 1.926 * [backup-simplify]: Simplify -1/2 into -1/2 1.926 * [taylor]: Taking taylor expansion of K in U 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 * [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 1.926 * [backup-simplify]: Simplify (- 0) into 0 1.926 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.926 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.926 * [taylor]: Taking taylor expansion of U in U 1.926 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify 1 into 1 1.927 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.927 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 1.927 * [backup-simplify]: Simplify (* 1 1) into 1 1.927 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 1.927 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 1.927 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1.927 * [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))) 1.927 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.927 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.928 * [backup-simplify]: Simplify (+ 0) into 0 1.928 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.929 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.929 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.929 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.930 * [backup-simplify]: Simplify (- 0) into 0 1.930 * [backup-simplify]: Simplify (+ 0 0) into 0 1.930 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 1.930 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 1.930 * [backup-simplify]: 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 1.931 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 1.931 * [backup-simplify]: Simplify (+ 0 0) into 0 1.931 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 1.931 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 1.931 * [taylor]: Taking taylor expansion of 1/2 in K 1.931 * [backup-simplify]: Simplify 1/2 into 1/2 1.931 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 1.931 * [taylor]: Taking taylor expansion of J in K 1.931 * [backup-simplify]: Simplify J into J 1.931 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.931 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.931 * [taylor]: Taking taylor expansion of -1/2 in K 1.931 * [backup-simplify]: Simplify -1/2 into -1/2 1.931 * [taylor]: Taking taylor expansion of K in K 1.932 * [backup-simplify]: Simplify 0 into 0 1.932 * [backup-simplify]: Simplify 1 into 1 1.932 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.932 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.932 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 1.932 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 1.932 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 1.932 * [taylor]: Taking taylor expansion of 1/2 in J 1.932 * [backup-simplify]: Simplify 1/2 into 1/2 1.932 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 1.932 * [taylor]: Taking taylor expansion of J in J 1.932 * [backup-simplify]: Simplify 0 into 0 1.932 * [backup-simplify]: Simplify 1 into 1 1.932 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.932 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.932 * [taylor]: Taking taylor expansion of -1/2 in J 1.932 * [backup-simplify]: Simplify -1/2 into -1/2 1.932 * [taylor]: Taking taylor expansion of K in J 1.932 * [backup-simplify]: Simplify K into K 1.932 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.932 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.932 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.932 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.932 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.933 * [backup-simplify]: Simplify (- 0) into 0 1.933 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.933 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 1.933 * [taylor]: Taking taylor expansion of 0 in K 1.933 * [backup-simplify]: Simplify 0 into 0 1.933 * [taylor]: Taking taylor expansion of 0 in J 1.933 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.933 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 1.933 * [taylor]: Taking taylor expansion of 0 in J 1.933 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 1.934 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 1.934 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 1.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.935 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.935 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.936 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.939 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.939 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.940 * [backup-simplify]: Simplify (- 0) into 0 1.940 * [backup-simplify]: Simplify (+ 0 0) into 0 1.940 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 1.941 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 1.941 * [backup-simplify]: 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 1.942 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 1.942 * [backup-simplify]: Simplify (+ 1 0) into 1 1.942 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 1.942 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 1.942 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 1.942 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 1.942 * [taylor]: Taking taylor expansion of -1/2 in K 1.943 * [backup-simplify]: Simplify -1/2 into -1/2 1.943 * [taylor]: Taking taylor expansion of K in K 1.943 * [backup-simplify]: Simplify 0 into 0 1.943 * [backup-simplify]: Simplify 1 into 1 1.943 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.943 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.943 * [taylor]: Taking taylor expansion of J in K 1.943 * [backup-simplify]: Simplify J into J 1.943 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 1.943 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 1.943 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 1.943 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 1.943 * [taylor]: Taking taylor expansion of -1/2 in J 1.943 * [backup-simplify]: Simplify -1/2 into -1/2 1.943 * [taylor]: Taking taylor expansion of K in J 1.943 * [backup-simplify]: Simplify K into K 1.943 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 1.943 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 1.943 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 1.943 * [taylor]: Taking taylor expansion of J in J 1.943 * [backup-simplify]: Simplify 0 into 0 1.943 * [backup-simplify]: Simplify 1 into 1 1.943 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.943 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 1.944 * [backup-simplify]: Simplify (- 0) into 0 1.944 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 1.944 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 1.944 * [backup-simplify]: Simplify (+ 0) into 0 1.944 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.944 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.945 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.945 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.945 * [backup-simplify]: Simplify (- 0) into 0 1.946 * [backup-simplify]: Simplify (+ 0 0) into 0 1.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 1.946 * [backup-simplify]: Simplify 0 into 0 1.946 * [taylor]: Taking taylor expansion of 0 in J 1.946 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify 0 into 0 1.947 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 1.947 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 1.947 * [taylor]: Taking taylor expansion of 0 in J 1.947 * [backup-simplify]: Simplify 0 into 0 1.947 * [backup-simplify]: Simplify 0 into 0 1.947 * [backup-simplify]: Simplify 0 into 0 1.947 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify (+ 0) into 0 1.948 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 1.948 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 1.948 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.949 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 1.949 * [backup-simplify]: Simplify (- 0) into 0 1.949 * [backup-simplify]: Simplify (+ 0 0) into 0 1.949 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 1.950 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 1.950 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.950 * [backup-simplify]: Simplify (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) 1.950 * [approximate]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in (J K U) around 0 1.950 * [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 1.950 * [taylor]: Taking taylor expansion of -2 in U 1.950 * [backup-simplify]: Simplify -2 into -2 1.950 * [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 1.950 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 1.950 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.951 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.951 * [taylor]: Taking taylor expansion of 1/2 in U 1.951 * [backup-simplify]: Simplify 1/2 into 1/2 1.951 * [taylor]: Taking taylor expansion of K in U 1.951 * [backup-simplify]: Simplify K into K 1.951 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.951 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.951 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.951 * [taylor]: Taking taylor expansion of J in U 1.951 * [backup-simplify]: Simplify J into J 1.951 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 1.951 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 1.951 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 1.951 * [taylor]: Taking taylor expansion of 1/4 in U 1.951 * [backup-simplify]: Simplify 1/4 into 1/4 1.951 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 1.951 * [taylor]: Taking taylor expansion of (pow U 2) in U 1.951 * [taylor]: Taking taylor expansion of U in U 1.951 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify 1 into 1 1.951 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 1.951 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 1.951 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 1.951 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 1.951 * [taylor]: Taking taylor expansion of 1/2 in U 1.951 * [backup-simplify]: Simplify 1/2 into 1/2 1.951 * [taylor]: Taking taylor expansion of K in U 1.951 * [backup-simplify]: Simplify K into K 1.951 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.951 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.951 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.951 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.951 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.952 * [backup-simplify]: Simplify (- 0) into 0 1.952 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.953 * [taylor]: Taking taylor expansion of (pow J 2) in U 1.953 * [taylor]: Taking taylor expansion of J in U 1.953 * [backup-simplify]: Simplify J into J 1.954 * [backup-simplify]: Simplify (* 1 1) into 1 1.954 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.954 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.954 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 1.954 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 1.954 * [taylor]: Taking taylor expansion of 1 in U 1.954 * [backup-simplify]: Simplify 1 into 1 1.955 * [backup-simplify]: Simplify (+ 0 1) into 1 1.955 * [backup-simplify]: Simplify (sqrt 1) into 1 1.956 * [backup-simplify]: Simplify (+ 0 0) into 0 1.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.957 * [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 1.957 * [taylor]: Taking taylor expansion of -2 in K 1.957 * [backup-simplify]: Simplify -2 into -2 1.957 * [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 1.957 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 1.957 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.957 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.957 * [taylor]: Taking taylor expansion of 1/2 in K 1.957 * [backup-simplify]: Simplify 1/2 into 1/2 1.957 * [taylor]: Taking taylor expansion of K in K 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify 1 into 1 1.957 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.958 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.958 * [taylor]: Taking taylor expansion of J in K 1.958 * [backup-simplify]: Simplify J into J 1.958 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 1.958 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 1.958 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 1.959 * [taylor]: Taking taylor expansion of 1/4 in K 1.959 * [backup-simplify]: Simplify 1/4 into 1/4 1.959 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 1.959 * [taylor]: Taking taylor expansion of (pow U 2) in K 1.959 * [taylor]: Taking taylor expansion of U in K 1.959 * [backup-simplify]: Simplify U into U 1.959 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 1.959 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 1.959 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 1.959 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.959 * [taylor]: Taking taylor expansion of 1/2 in K 1.959 * [backup-simplify]: Simplify 1/2 into 1/2 1.959 * [taylor]: Taking taylor expansion of K in K 1.959 * [backup-simplify]: Simplify 0 into 0 1.959 * [backup-simplify]: Simplify 1 into 1 1.959 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.960 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.960 * [taylor]: Taking taylor expansion of (pow J 2) in K 1.960 * [taylor]: Taking taylor expansion of J in K 1.960 * [backup-simplify]: Simplify J into J 1.960 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.961 * [backup-simplify]: Simplify (* 1 1) into 1 1.961 * [backup-simplify]: Simplify (* J J) into (pow J 2) 1.961 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 1.961 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 1.961 * [taylor]: Taking taylor expansion of 1 in K 1.961 * [backup-simplify]: Simplify 1 into 1 1.961 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 1.961 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1.962 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 1.962 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.962 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 1.963 * [backup-simplify]: Simplify (+ 0) into 0 1.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 1.964 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 1.965 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 1.965 * [backup-simplify]: Simplify (+ 0 0) into 0 1.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 1.965 * [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 1.965 * [taylor]: Taking taylor expansion of -2 in J 1.965 * [backup-simplify]: Simplify -2 into -2 1.965 * [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 1.965 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.965 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.965 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.965 * [taylor]: Taking taylor expansion of 1/2 in J 1.966 * [backup-simplify]: Simplify 1/2 into 1/2 1.966 * [taylor]: Taking taylor expansion of K in J 1.966 * [backup-simplify]: Simplify K into K 1.966 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.966 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.966 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.966 * [taylor]: Taking taylor expansion of J in J 1.966 * [backup-simplify]: Simplify 0 into 0 1.966 * [backup-simplify]: Simplify 1 into 1 1.966 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 1.966 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 1.966 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 1.966 * [taylor]: Taking taylor expansion of 1/4 in J 1.966 * [backup-simplify]: Simplify 1/4 into 1/4 1.966 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 1.966 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.966 * [taylor]: Taking taylor expansion of U in J 1.966 * [backup-simplify]: Simplify U into U 1.966 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 1.966 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 1.966 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.966 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.966 * [taylor]: Taking taylor expansion of 1/2 in J 1.966 * [backup-simplify]: Simplify 1/2 into 1/2 1.966 * [taylor]: Taking taylor expansion of K in J 1.966 * [backup-simplify]: Simplify K into K 1.966 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.966 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.966 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.967 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.967 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.967 * [backup-simplify]: Simplify (- 0) into 0 1.967 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.967 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.967 * [taylor]: Taking taylor expansion of J in J 1.967 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify 1 into 1 1.967 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.967 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.968 * [backup-simplify]: Simplify (* 1 1) into 1 1.968 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 1.968 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 1.968 * [taylor]: Taking taylor expansion of 1 in J 1.968 * [backup-simplify]: Simplify 1 into 1 1.968 * [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))) 1.969 * [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))) 1.969 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 1.969 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.970 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.970 * [backup-simplify]: Simplify (+ 0) into 0 1.971 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.971 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.972 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.972 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.973 * [backup-simplify]: Simplify (- 0) into 0 1.973 * [backup-simplify]: Simplify (+ 0 0) into 0 1.973 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.974 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 1.974 * [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 1.975 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 1.975 * [backup-simplify]: Simplify (+ 0 0) into 0 1.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 1.975 * [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 1.975 * [taylor]: Taking taylor expansion of -2 in J 1.976 * [backup-simplify]: Simplify -2 into -2 1.976 * [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 1.976 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 1.976 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.976 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.976 * [taylor]: Taking taylor expansion of 1/2 in J 1.976 * [backup-simplify]: Simplify 1/2 into 1/2 1.976 * [taylor]: Taking taylor expansion of K in J 1.976 * [backup-simplify]: Simplify K into K 1.976 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.976 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.976 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.976 * [taylor]: Taking taylor expansion of J in J 1.976 * [backup-simplify]: Simplify 0 into 0 1.976 * [backup-simplify]: Simplify 1 into 1 1.976 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 1.976 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 1.976 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 1.976 * [taylor]: Taking taylor expansion of 1/4 in J 1.976 * [backup-simplify]: Simplify 1/4 into 1/4 1.976 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 1.976 * [taylor]: Taking taylor expansion of (pow U 2) in J 1.976 * [taylor]: Taking taylor expansion of U in J 1.976 * [backup-simplify]: Simplify U into U 1.976 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 1.976 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 1.976 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 1.976 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 1.976 * [taylor]: Taking taylor expansion of 1/2 in J 1.976 * [backup-simplify]: Simplify 1/2 into 1/2 1.976 * [taylor]: Taking taylor expansion of K in J 1.977 * [backup-simplify]: Simplify K into K 1.977 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.977 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 1.977 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 1.977 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.977 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.977 * [backup-simplify]: Simplify (- 0) into 0 1.978 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.978 * [taylor]: Taking taylor expansion of (pow J 2) in J 1.978 * [taylor]: Taking taylor expansion of J in J 1.978 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify 1 into 1 1.978 * [backup-simplify]: Simplify (* U U) into (pow U 2) 1.978 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 1.978 * [backup-simplify]: Simplify (* 1 1) into 1 1.978 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 1.979 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 1.979 * [taylor]: Taking taylor expansion of 1 in J 1.979 * [backup-simplify]: Simplify 1 into 1 1.979 * [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))) 1.979 * [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))) 1.979 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 1.980 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 1.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.981 * [backup-simplify]: Simplify (+ 0) into 0 1.981 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.982 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.983 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.983 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.983 * [backup-simplify]: Simplify (- 0) into 0 1.984 * [backup-simplify]: Simplify (+ 0 0) into 0 1.984 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 1.984 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 1.985 * [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 1.985 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 1.986 * [backup-simplify]: Simplify (+ 0 0) into 0 1.986 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 1.986 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 1.986 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 1.987 * [backup-simplify]: Simplify (- 0) into 0 1.987 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 1.987 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 1.987 * [backup-simplify]: Simplify (* 0 (* 1/2 (/ U (cos (* 1/2 K))))) into 0 1.988 * [backup-simplify]: Simplify (* -2 0) into 0 1.988 * [taylor]: Taking taylor expansion of 0 in K 1.988 * [backup-simplify]: Simplify 0 into 0 1.988 * [taylor]: Taking taylor expansion of 0 in U 1.988 * [backup-simplify]: Simplify 0 into 0 1.988 * [backup-simplify]: Simplify 0 into 0 1.988 * [backup-simplify]: Simplify (+ 0) into 0 1.989 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 1.989 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.990 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.990 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 1.991 * [backup-simplify]: Simplify (- 0) into 0 1.991 * [backup-simplify]: Simplify (+ 0 0) into 0 1.992 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 1.992 * [backup-simplify]: Simplify (+ (* 0 0) (* (cos (* 1/2 K)) (* 1/2 (/ U (cos (* 1/2 K)))))) into (* 1/2 U) 1.993 * [backup-simplify]: Simplify (+ (* -2 (* 1/2 U)) (* 0 0)) into (- U) 1.993 * [taylor]: Taking taylor expansion of (- U) in K 1.993 * [taylor]: Taking taylor expansion of U in K 1.993 * [backup-simplify]: Simplify U into U 1.993 * [backup-simplify]: Simplify (- U) into (- U) 1.993 * [taylor]: Taking taylor expansion of (- U) in U 1.993 * [taylor]: Taking taylor expansion of U in U 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify 1 into 1 1.993 * [backup-simplify]: Simplify (- 0) into 0 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [taylor]: Taking taylor expansion of 0 in U 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify 0 into 0 1.994 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (* 0 U))) into 0 1.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.996 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.997 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 1.998 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 1.998 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.999 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 1.999 * [backup-simplify]: Simplify (- 0) into 0 2.000 * [backup-simplify]: Simplify (+ 0 0) into 0 2.000 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 2.001 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 2.002 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 2.003 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into 0 2.003 * [backup-simplify]: Simplify (+ 0 1) into 1 2.004 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into (/ (cos (* 1/2 K)) U) 2.005 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.006 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.007 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 2.008 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.009 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.009 * [backup-simplify]: Simplify (- 0) into 0 2.010 * [backup-simplify]: Simplify (+ 0 0) into 0 2.011 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 2.011 * [backup-simplify]: Simplify (+ (* 0 (/ (cos (* 1/2 K)) U)) (+ (* (cos (* 1/2 K)) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) into 0 2.012 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/2 U)) (* 0 0))) into 0 2.012 * [taylor]: Taking taylor expansion of 0 in K 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [taylor]: Taking taylor expansion of 0 in U 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify (- 0) into 0 2.012 * [taylor]: Taking taylor expansion of 0 in U 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify (* (* (/ 1 J) (* -2 (cos (/ (/ 1 K) 2)))) (sqrt (+ (* (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J)))) (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J))))) 1))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 2.013 * [approximate]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in (J K U) around 0 2.013 * [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 2.013 * [taylor]: Taking taylor expansion of -2 in U 2.013 * [backup-simplify]: Simplify -2 into -2 2.013 * [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 2.013 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 2.013 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 2.013 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 2.013 * [taylor]: Taking taylor expansion of 1/4 in U 2.014 * [backup-simplify]: Simplify 1/4 into 1/4 2.014 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 2.014 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.014 * [taylor]: Taking taylor expansion of J in U 2.014 * [backup-simplify]: Simplify J into J 2.014 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 2.014 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.014 * [taylor]: Taking taylor expansion of U in U 2.014 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify 1 into 1 2.014 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 2.014 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.014 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.014 * [taylor]: Taking taylor expansion of 1/2 in U 2.014 * [backup-simplify]: Simplify 1/2 into 1/2 2.014 * [taylor]: Taking taylor expansion of K in U 2.014 * [backup-simplify]: Simplify K into K 2.014 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.014 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.014 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.014 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.014 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.015 * [backup-simplify]: Simplify (- 0) into 0 2.015 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.015 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.015 * [backup-simplify]: Simplify (* 1 1) into 1 2.015 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.015 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 2.016 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 2.016 * [taylor]: Taking taylor expansion of 1 in U 2.016 * [backup-simplify]: Simplify 1 into 1 2.016 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2.016 * [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))) 2.016 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 2.017 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.017 * [backup-simplify]: Simplify (+ 0) into 0 2.017 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.018 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.018 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.019 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.019 * [backup-simplify]: Simplify (- 0) into 0 2.019 * [backup-simplify]: Simplify (+ 0 0) into 0 2.020 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 2.021 * [backup-simplify]: 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 2.022 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 2.022 * [backup-simplify]: Simplify (+ 0 0) into 0 2.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 2.023 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 2.023 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.023 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.023 * [taylor]: Taking taylor expansion of 1/2 in U 2.023 * [backup-simplify]: Simplify 1/2 into 1/2 2.023 * [taylor]: Taking taylor expansion of K in U 2.023 * [backup-simplify]: Simplify K into K 2.023 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.023 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.023 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.023 * [taylor]: Taking taylor expansion of J in U 2.023 * [backup-simplify]: Simplify J into J 2.023 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.023 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.024 * [backup-simplify]: Simplify (- 0) into 0 2.024 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.024 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 2.024 * [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 2.024 * [taylor]: Taking taylor expansion of -2 in K 2.024 * [backup-simplify]: Simplify -2 into -2 2.024 * [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 2.024 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 2.024 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 2.024 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 2.024 * [taylor]: Taking taylor expansion of 1/4 in K 2.024 * [backup-simplify]: Simplify 1/4 into 1/4 2.024 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 2.024 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.024 * [taylor]: Taking taylor expansion of J in K 2.024 * [backup-simplify]: Simplify J into J 2.024 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 2.024 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.024 * [taylor]: Taking taylor expansion of U in K 2.024 * [backup-simplify]: Simplify U into U 2.024 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 2.024 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.024 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.024 * [taylor]: Taking taylor expansion of 1/2 in K 2.024 * [backup-simplify]: Simplify 1/2 into 1/2 2.024 * [taylor]: Taking taylor expansion of K in K 2.024 * [backup-simplify]: Simplify 0 into 0 2.024 * [backup-simplify]: Simplify 1 into 1 2.025 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.025 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.025 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.025 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.025 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.025 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 2.026 * [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))) 2.026 * [taylor]: Taking taylor expansion of 1 in K 2.026 * [backup-simplify]: Simplify 1 into 1 2.026 * [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)))) 2.026 * [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) 2.027 * [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)) 2.027 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.027 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.027 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.027 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 2.028 * [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 2.029 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 2.029 * [backup-simplify]: Simplify (+ 0 0) into 0 2.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 2.029 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 2.030 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.030 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.030 * [taylor]: Taking taylor expansion of 1/2 in K 2.030 * [backup-simplify]: Simplify 1/2 into 1/2 2.030 * [taylor]: Taking taylor expansion of K in K 2.030 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify 1 into 1 2.030 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.030 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.030 * [taylor]: Taking taylor expansion of J in K 2.030 * [backup-simplify]: Simplify J into J 2.030 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 2.030 * [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 2.030 * [taylor]: Taking taylor expansion of -2 in J 2.030 * [backup-simplify]: Simplify -2 into -2 2.030 * [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 2.031 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 2.031 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 2.031 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 2.031 * [taylor]: Taking taylor expansion of 1/4 in J 2.031 * [backup-simplify]: Simplify 1/4 into 1/4 2.031 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 2.031 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.031 * [taylor]: Taking taylor expansion of J in J 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify 1 into 1 2.031 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 2.031 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.031 * [taylor]: Taking taylor expansion of U in J 2.031 * [backup-simplify]: Simplify U into U 2.031 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 2.031 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.031 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.031 * [taylor]: Taking taylor expansion of 1/2 in J 2.031 * [backup-simplify]: Simplify 1/2 into 1/2 2.031 * [taylor]: Taking taylor expansion of K in J 2.031 * [backup-simplify]: Simplify K into K 2.031 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.031 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.031 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.031 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.031 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.032 * [backup-simplify]: Simplify (- 0) into 0 2.032 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.032 * [backup-simplify]: Simplify (* 1 1) into 1 2.032 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.032 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.033 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 2.033 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 2.033 * [taylor]: Taking taylor expansion of 1 in J 2.033 * [backup-simplify]: Simplify 1 into 1 2.033 * [backup-simplify]: Simplify (+ 0 1) into 1 2.034 * [backup-simplify]: Simplify (sqrt 1) into 1 2.034 * [backup-simplify]: Simplify (+ 0 0) into 0 2.035 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.035 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 2.035 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.035 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.035 * [taylor]: Taking taylor expansion of 1/2 in J 2.035 * [backup-simplify]: Simplify 1/2 into 1/2 2.035 * [taylor]: Taking taylor expansion of K in J 2.035 * [backup-simplify]: Simplify K into K 2.035 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.035 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.035 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.035 * [taylor]: Taking taylor expansion of J in J 2.035 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify 1 into 1 2.035 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.036 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.036 * [backup-simplify]: Simplify (- 0) into 0 2.036 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.036 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.036 * [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 2.036 * [taylor]: Taking taylor expansion of -2 in J 2.036 * [backup-simplify]: Simplify -2 into -2 2.036 * [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 2.036 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 2.036 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 2.036 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 2.036 * [taylor]: Taking taylor expansion of 1/4 in J 2.036 * [backup-simplify]: Simplify 1/4 into 1/4 2.036 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 2.036 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.037 * [taylor]: Taking taylor expansion of J in J 2.037 * [backup-simplify]: Simplify 0 into 0 2.037 * [backup-simplify]: Simplify 1 into 1 2.037 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 2.037 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.037 * [taylor]: Taking taylor expansion of U in J 2.037 * [backup-simplify]: Simplify U into U 2.037 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 2.037 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.037 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.037 * [taylor]: Taking taylor expansion of 1/2 in J 2.037 * [backup-simplify]: Simplify 1/2 into 1/2 2.037 * [taylor]: Taking taylor expansion of K in J 2.037 * [backup-simplify]: Simplify K into K 2.037 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.037 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.037 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.037 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.037 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.038 * [backup-simplify]: Simplify (- 0) into 0 2.038 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.038 * [backup-simplify]: Simplify (* 1 1) into 1 2.038 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.038 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.038 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 2.039 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 2.039 * [taylor]: Taking taylor expansion of 1 in J 2.039 * [backup-simplify]: Simplify 1 into 1 2.039 * [backup-simplify]: Simplify (+ 0 1) into 1 2.040 * [backup-simplify]: Simplify (sqrt 1) into 1 2.040 * [backup-simplify]: Simplify (+ 0 0) into 0 2.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.041 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 2.041 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.041 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.041 * [taylor]: Taking taylor expansion of 1/2 in J 2.041 * [backup-simplify]: Simplify 1/2 into 1/2 2.041 * [taylor]: Taking taylor expansion of K in J 2.041 * [backup-simplify]: Simplify K into K 2.041 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.041 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.041 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.041 * [taylor]: Taking taylor expansion of J in J 2.041 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify 1 into 1 2.041 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.041 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.042 * [backup-simplify]: Simplify (- 0) into 0 2.042 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.042 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.042 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 2.042 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 2.042 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K 2.042 * [taylor]: Taking taylor expansion of -2 in K 2.042 * [backup-simplify]: Simplify -2 into -2 2.042 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.042 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.042 * [taylor]: Taking taylor expansion of 1/2 in K 2.042 * [backup-simplify]: Simplify 1/2 into 1/2 2.042 * [taylor]: Taking taylor expansion of K in K 2.042 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify 1 into 1 2.043 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.043 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.043 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 2.043 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in U 2.043 * [taylor]: Taking taylor expansion of -2 in U 2.043 * [backup-simplify]: Simplify -2 into -2 2.043 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.043 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.043 * [taylor]: Taking taylor expansion of 1/2 in U 2.043 * [backup-simplify]: Simplify 1/2 into 1/2 2.043 * [taylor]: Taking taylor expansion of K in U 2.043 * [backup-simplify]: Simplify K into K 2.043 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.043 * [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 (+ 0) into 0 2.044 * [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 2.045 * [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 2.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 2.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 2.049 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 2.049 * [taylor]: Taking taylor expansion of 0 in K 2.049 * [backup-simplify]: Simplify 0 into 0 2.049 * [taylor]: Taking taylor expansion of 0 in U 2.049 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 2.049 * [taylor]: Taking taylor expansion of 0 in U 2.049 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.050 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.050 * [backup-simplify]: Simplify (- 0) into 0 2.050 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.050 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 2.050 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 2.051 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.052 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.052 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.053 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.053 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.054 * [backup-simplify]: Simplify (- 0) into 0 2.054 * [backup-simplify]: Simplify (+ 0 0) into 0 2.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.056 * [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))) 2.056 * [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)))) 2.058 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 2.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (cos (/ 1/2 K))))) into (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) 2.059 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) 2.060 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in K 2.060 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in K 2.060 * [taylor]: Taking taylor expansion of 1/4 in K 2.060 * [backup-simplify]: Simplify 1/4 into 1/4 2.060 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in K 2.060 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in K 2.060 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.060 * [taylor]: Taking taylor expansion of U in K 2.060 * [backup-simplify]: Simplify U into U 2.060 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.060 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.060 * [taylor]: Taking taylor expansion of 1/2 in K 2.060 * [backup-simplify]: Simplify 1/2 into 1/2 2.060 * [taylor]: Taking taylor expansion of K in K 2.060 * [backup-simplify]: Simplify 0 into 0 2.060 * [backup-simplify]: Simplify 1 into 1 2.060 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.060 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.061 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.061 * [backup-simplify]: Simplify (* (pow U 2) (cos (/ 1/2 K))) into (* (pow U 2) (cos (/ 1/2 K))) 2.061 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) into (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) 2.061 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) into (/ 1/4 (* (pow U 2) (cos (/ 1/2 K)))) 2.061 * [backup-simplify]: Simplify (- (/ 1/4 (* (pow U 2) (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) 2.061 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in U 2.061 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in U 2.061 * [taylor]: Taking taylor expansion of 1/4 in U 2.061 * [backup-simplify]: Simplify 1/4 into 1/4 2.061 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in U 2.061 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in U 2.061 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.061 * [taylor]: Taking taylor expansion of U in U 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify 1 into 1 2.062 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.062 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.062 * [taylor]: Taking taylor expansion of 1/2 in U 2.062 * [backup-simplify]: Simplify 1/2 into 1/2 2.062 * [taylor]: Taking taylor expansion of K in U 2.062 * [backup-simplify]: Simplify K into K 2.062 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.062 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.062 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.062 * [backup-simplify]: Simplify (* 1 1) into 1 2.062 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.062 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.063 * [backup-simplify]: Simplify (- 0) into 0 2.063 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.063 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 2.063 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 2.063 * [backup-simplify]: Simplify (+ 0) into 0 2.064 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.064 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.065 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.065 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.066 * [backup-simplify]: Simplify (- 0) into 0 2.066 * [backup-simplify]: Simplify (+ 0 0) into 0 2.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 2.067 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 2.068 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 2.068 * [backup-simplify]: Simplify (- 0) into 0 2.068 * [backup-simplify]: Simplify 0 into 0 2.068 * [taylor]: Taking taylor expansion of 0 in U 2.068 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 2.070 * [taylor]: Taking taylor expansion of 0 in U 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify (+ 0) into 0 2.071 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.071 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.072 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.072 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.073 * [backup-simplify]: Simplify (- 0) into 0 2.073 * [backup-simplify]: Simplify (+ 0 0) into 0 2.073 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 2.074 * [backup-simplify]: Simplify 0 into 0 2.075 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.075 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.076 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.077 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.078 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.079 * [backup-simplify]: Simplify (- 0) into 0 2.079 * [backup-simplify]: Simplify (+ 0 0) into 0 2.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 (- (/ 0 K) (+ (* (/ 1/2 K) (/ 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 2.085 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.085 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 2.086 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 2.092 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 2.093 * [backup-simplify]: Simplify (+ 0 0) into 0 2.094 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 1)) into 0 2.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) (* 0 (cos (/ 1/2 K)))))) into 0 2.097 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 2.097 * [taylor]: Taking taylor expansion of 0 in K 2.097 * [backup-simplify]: Simplify 0 into 0 2.097 * [taylor]: Taking taylor expansion of 0 in U 2.097 * [backup-simplify]: Simplify 0 into 0 2.097 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.097 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) (/ 0 (* (pow U 2) (cos (/ 1/2 K))))))) into 0 2.098 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) into 0 2.098 * [backup-simplify]: Simplify (- 0) into 0 2.098 * [taylor]: Taking taylor expansion of 0 in U 2.098 * [backup-simplify]: Simplify 0 into 0 2.098 * [taylor]: Taking taylor expansion of 0 in U 2.098 * [backup-simplify]: Simplify 0 into 0 2.100 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 2.100 * [taylor]: Taking taylor expansion of 0 in U 2.100 * [backup-simplify]: Simplify 0 into 0 2.101 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.101 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.102 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.102 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.103 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.103 * [backup-simplify]: Simplify (- 0) into 0 2.104 * [backup-simplify]: Simplify (+ 0 0) into 0 2.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 2.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 2.107 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 2.107 * [backup-simplify]: Simplify (- 0) into 0 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (cos (* 1/2 K)) J)) 2.108 * [backup-simplify]: Simplify (* (* (/ 1 (- J)) (* -2 (cos (/ (/ 1 (- K)) 2)))) (sqrt (+ (* (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J))))) (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))))) 1))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 2.108 * [approximate]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in (J K U) around 0 2.108 * [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 2.108 * [taylor]: Taking taylor expansion of 2 in U 2.108 * [backup-simplify]: Simplify 2 into 2 2.108 * [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 2.109 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 2.109 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.109 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.109 * [taylor]: Taking taylor expansion of -1/2 in U 2.109 * [backup-simplify]: Simplify -1/2 into -1/2 2.109 * [taylor]: Taking taylor expansion of K in U 2.109 * [backup-simplify]: Simplify K into K 2.109 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.109 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.109 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.109 * [taylor]: Taking taylor expansion of J in U 2.109 * [backup-simplify]: Simplify J into J 2.109 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.109 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.110 * [backup-simplify]: Simplify (- 0) into 0 2.110 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.110 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 2.110 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 2.110 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 2.110 * [taylor]: Taking taylor expansion of 1 in U 2.110 * [backup-simplify]: Simplify 1 into 1 2.110 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 2.110 * [taylor]: Taking taylor expansion of 1/4 in U 2.110 * [backup-simplify]: Simplify 1/4 into 1/4 2.110 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 2.110 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.110 * [taylor]: Taking taylor expansion of J in U 2.110 * [backup-simplify]: Simplify J into J 2.110 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 2.110 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 2.110 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.110 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.110 * [taylor]: Taking taylor expansion of -1/2 in U 2.110 * [backup-simplify]: Simplify -1/2 into -1/2 2.110 * [taylor]: Taking taylor expansion of K in U 2.110 * [backup-simplify]: Simplify K into K 2.110 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.111 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.111 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.111 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.111 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.111 * [backup-simplify]: Simplify (- 0) into 0 2.111 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.111 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.111 * [taylor]: Taking taylor expansion of U in U 2.111 * [backup-simplify]: Simplify 0 into 0 2.111 * [backup-simplify]: Simplify 1 into 1 2.111 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.112 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.112 * [backup-simplify]: Simplify (* 1 1) into 1 2.112 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 2.112 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 2.112 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2.113 * [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))) 2.113 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 2.113 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.114 * [backup-simplify]: Simplify (+ 0) into 0 2.115 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.115 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.116 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.116 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.117 * [backup-simplify]: Simplify (- 0) into 0 2.117 * [backup-simplify]: Simplify (+ 0 0) into 0 2.117 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.118 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 2.118 * [backup-simplify]: 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 2.119 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 2.119 * [backup-simplify]: Simplify (+ 0 0) into 0 2.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 2.120 * [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 2.120 * [taylor]: Taking taylor expansion of 2 in K 2.120 * [backup-simplify]: Simplify 2 into 2 2.120 * [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 2.120 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 2.120 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.120 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.120 * [taylor]: Taking taylor expansion of -1/2 in K 2.120 * [backup-simplify]: Simplify -1/2 into -1/2 2.120 * [taylor]: Taking taylor expansion of K in K 2.120 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify 1 into 1 2.120 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.121 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.121 * [taylor]: Taking taylor expansion of J in K 2.121 * [backup-simplify]: Simplify J into J 2.121 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 2.121 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 2.121 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 2.121 * [taylor]: Taking taylor expansion of 1 in K 2.121 * [backup-simplify]: Simplify 1 into 1 2.121 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 2.121 * [taylor]: Taking taylor expansion of 1/4 in K 2.121 * [backup-simplify]: Simplify 1/4 into 1/4 2.121 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 2.121 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.121 * [taylor]: Taking taylor expansion of J in K 2.121 * [backup-simplify]: Simplify J into J 2.121 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 2.121 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 2.121 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.121 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.121 * [taylor]: Taking taylor expansion of -1/2 in K 2.121 * [backup-simplify]: Simplify -1/2 into -1/2 2.121 * [taylor]: Taking taylor expansion of K in K 2.121 * [backup-simplify]: Simplify 0 into 0 2.121 * [backup-simplify]: Simplify 1 into 1 2.122 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.122 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.122 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.122 * [taylor]: Taking taylor expansion of U in K 2.122 * [backup-simplify]: Simplify U into U 2.122 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.122 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.122 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.122 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 2.123 * [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))) 2.123 * [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)))) 2.123 * [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))))) 2.124 * [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)))))) 2.124 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.124 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.124 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.124 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 2.125 * [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 2.126 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 2.126 * [backup-simplify]: Simplify (+ 0 0) into 0 2.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 2.126 * [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 2.126 * [taylor]: Taking taylor expansion of 2 in J 2.127 * [backup-simplify]: Simplify 2 into 2 2.127 * [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 2.127 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 2.127 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.127 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.127 * [taylor]: Taking taylor expansion of -1/2 in J 2.127 * [backup-simplify]: Simplify -1/2 into -1/2 2.127 * [taylor]: Taking taylor expansion of K in J 2.127 * [backup-simplify]: Simplify K into K 2.127 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.127 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.127 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.127 * [taylor]: Taking taylor expansion of J in J 2.127 * [backup-simplify]: Simplify 0 into 0 2.127 * [backup-simplify]: Simplify 1 into 1 2.127 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.127 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.128 * [backup-simplify]: Simplify (- 0) into 0 2.128 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.128 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.128 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 2.128 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 2.128 * [taylor]: Taking taylor expansion of 1 in J 2.128 * [backup-simplify]: Simplify 1 into 1 2.128 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 2.128 * [taylor]: Taking taylor expansion of 1/4 in J 2.128 * [backup-simplify]: Simplify 1/4 into 1/4 2.128 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 2.128 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.128 * [taylor]: Taking taylor expansion of J in J 2.128 * [backup-simplify]: Simplify 0 into 0 2.128 * [backup-simplify]: Simplify 1 into 1 2.128 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 2.128 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 2.128 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.128 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.128 * [taylor]: Taking taylor expansion of -1/2 in J 2.128 * [backup-simplify]: Simplify -1/2 into -1/2 2.128 * [taylor]: Taking taylor expansion of K in J 2.128 * [backup-simplify]: Simplify K into K 2.128 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.129 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.129 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.129 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.129 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.129 * [backup-simplify]: Simplify (- 0) into 0 2.129 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.129 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.129 * [taylor]: Taking taylor expansion of U in J 2.129 * [backup-simplify]: Simplify U into U 2.130 * [backup-simplify]: Simplify (* 1 1) into 1 2.130 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.130 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.130 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 2.130 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 2.131 * [backup-simplify]: Simplify (+ 1 0) into 1 2.131 * [backup-simplify]: Simplify (sqrt 1) into 1 2.131 * [backup-simplify]: Simplify (+ 0 0) into 0 2.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.132 * [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 2.132 * [taylor]: Taking taylor expansion of 2 in J 2.132 * [backup-simplify]: Simplify 2 into 2 2.132 * [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 2.132 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 2.132 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.132 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.132 * [taylor]: Taking taylor expansion of -1/2 in J 2.133 * [backup-simplify]: Simplify -1/2 into -1/2 2.133 * [taylor]: Taking taylor expansion of K in J 2.133 * [backup-simplify]: Simplify K into K 2.133 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.133 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.133 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.133 * [taylor]: Taking taylor expansion of J in J 2.133 * [backup-simplify]: Simplify 0 into 0 2.133 * [backup-simplify]: Simplify 1 into 1 2.133 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.133 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.133 * [backup-simplify]: Simplify (- 0) into 0 2.134 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.134 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.134 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 2.134 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 2.134 * [taylor]: Taking taylor expansion of 1 in J 2.134 * [backup-simplify]: Simplify 1 into 1 2.134 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 2.134 * [taylor]: Taking taylor expansion of 1/4 in J 2.134 * [backup-simplify]: Simplify 1/4 into 1/4 2.134 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 2.134 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.134 * [taylor]: Taking taylor expansion of J in J 2.134 * [backup-simplify]: Simplify 0 into 0 2.134 * [backup-simplify]: Simplify 1 into 1 2.134 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 2.134 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 2.134 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.134 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.134 * [taylor]: Taking taylor expansion of -1/2 in J 2.134 * [backup-simplify]: Simplify -1/2 into -1/2 2.134 * [taylor]: Taking taylor expansion of K in J 2.134 * [backup-simplify]: Simplify K into K 2.134 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.134 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.134 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.135 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.135 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.135 * [backup-simplify]: Simplify (- 0) into 0 2.135 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.135 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.135 * [taylor]: Taking taylor expansion of U in J 2.135 * [backup-simplify]: Simplify U into U 2.136 * [backup-simplify]: Simplify (* 1 1) into 1 2.136 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.136 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.136 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 2.136 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 2.137 * [backup-simplify]: Simplify (+ 1 0) into 1 2.137 * [backup-simplify]: Simplify (sqrt 1) into 1 2.137 * [backup-simplify]: Simplify (+ 0 0) into 0 2.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.138 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.139 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 2.139 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K 2.139 * [taylor]: Taking taylor expansion of 2 in K 2.139 * [backup-simplify]: Simplify 2 into 2 2.139 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.139 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.139 * [taylor]: Taking taylor expansion of -1/2 in K 2.139 * [backup-simplify]: Simplify -1/2 into -1/2 2.139 * [taylor]: Taking taylor expansion of K in K 2.139 * [backup-simplify]: Simplify 0 into 0 2.139 * [backup-simplify]: Simplify 1 into 1 2.139 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.139 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.139 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 2.140 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in U 2.140 * [taylor]: Taking taylor expansion of 2 in U 2.140 * [backup-simplify]: Simplify 2 into 2 2.140 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.140 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.140 * [taylor]: Taking taylor expansion of -1/2 in U 2.140 * [backup-simplify]: Simplify -1/2 into -1/2 2.140 * [taylor]: Taking taylor expansion of K in U 2.140 * [backup-simplify]: Simplify K into K 2.140 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.140 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.140 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.140 * [backup-simplify]: Simplify (+ 0) into 0 2.141 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.141 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.142 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.142 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.143 * [backup-simplify]: Simplify (- 0) into 0 2.143 * [backup-simplify]: Simplify (+ 0 0) into 0 2.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 2.144 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.145 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 2.145 * [taylor]: Taking taylor expansion of 0 in K 2.145 * [backup-simplify]: Simplify 0 into 0 2.145 * [taylor]: Taking taylor expansion of 0 in U 2.145 * [backup-simplify]: Simplify 0 into 0 2.146 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 2.146 * [taylor]: Taking taylor expansion of 0 in U 2.146 * [backup-simplify]: Simplify 0 into 0 2.146 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.146 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.146 * [backup-simplify]: Simplify (- 0) into 0 2.146 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.146 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 2.147 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 2.147 * [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))) 2.147 * [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)))) 2.148 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 2.149 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.150 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.150 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.151 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.152 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.152 * [backup-simplify]: Simplify (- 0) into 0 2.153 * [backup-simplify]: Simplify (+ 0 0) into 0 2.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.155 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) 2.156 * [backup-simplify]: Simplify (+ (* 2 (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) 2.156 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) in K 2.156 * [taylor]: Taking taylor expansion of 1/4 in K 2.156 * [backup-simplify]: Simplify 1/4 into 1/4 2.156 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) in K 2.156 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in K 2.156 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.156 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.156 * [taylor]: Taking taylor expansion of -1/2 in K 2.156 * [backup-simplify]: Simplify -1/2 into -1/2 2.156 * [taylor]: Taking taylor expansion of K in K 2.156 * [backup-simplify]: Simplify 0 into 0 2.156 * [backup-simplify]: Simplify 1 into 1 2.156 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.156 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.156 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.156 * [taylor]: Taking taylor expansion of U in K 2.157 * [backup-simplify]: Simplify U into U 2.157 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.157 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow U 2)) into (* (cos (/ -1/2 K)) (pow U 2)) 2.157 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) into (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) 2.157 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) into (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) 2.157 * [taylor]: Taking taylor expansion of (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) in U 2.157 * [taylor]: Taking taylor expansion of 1/4 in U 2.157 * [backup-simplify]: Simplify 1/4 into 1/4 2.157 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in U 2.157 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.157 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.157 * [taylor]: Taking taylor expansion of -1/2 in U 2.157 * [backup-simplify]: Simplify -1/2 into -1/2 2.157 * [taylor]: Taking taylor expansion of K in U 2.157 * [backup-simplify]: Simplify K into K 2.157 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.157 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.157 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.157 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.158 * [taylor]: Taking taylor expansion of U in U 2.158 * [backup-simplify]: Simplify 0 into 0 2.158 * [backup-simplify]: Simplify 1 into 1 2.158 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.158 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.158 * [backup-simplify]: Simplify (- 0) into 0 2.158 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.159 * [backup-simplify]: Simplify (* 1 1) into 1 2.159 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.159 * [backup-simplify]: Simplify (/ 1/4 (cos (/ -1/2 K))) into (/ 1/4 (cos (/ -1/2 K))) 2.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.160 * [backup-simplify]: Simplify (+ 0) into 0 2.160 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.160 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.161 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.162 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.162 * [backup-simplify]: Simplify (- 0) into 0 2.162 * [backup-simplify]: Simplify (+ 0 0) into 0 2.163 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.163 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 2.163 * [backup-simplify]: Simplify 0 into 0 2.163 * [taylor]: Taking taylor expansion of 0 in U 2.163 * [backup-simplify]: Simplify 0 into 0 2.164 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 2.164 * [taylor]: Taking taylor expansion of 0 in U 2.164 * [backup-simplify]: Simplify 0 into 0 2.164 * [backup-simplify]: Simplify 0 into 0 2.164 * [backup-simplify]: Simplify 0 into 0 2.164 * [backup-simplify]: Simplify (+ 0) into 0 2.165 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.165 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.165 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.165 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.166 * [backup-simplify]: Simplify (- 0) into 0 2.166 * [backup-simplify]: Simplify (+ 0 0) into 0 2.166 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 2.166 * [backup-simplify]: Simplify 0 into 0 2.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.167 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.167 * [backup-simplify]: Simplify (+ 0) into 0 2.167 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.167 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.168 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.168 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.168 * [backup-simplify]: Simplify (- 0) into 0 2.169 * [backup-simplify]: Simplify (+ 0 0) into 0 2.169 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.169 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 2.169 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 2.170 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 2.170 * [backup-simplify]: Simplify (+ 0 0) into 0 2.170 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (* 2 1)) into 0 2.171 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.171 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.172 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.172 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.173 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.173 * [backup-simplify]: Simplify (- 0) into 0 2.173 * [backup-simplify]: Simplify (+ 0 0) into 0 2.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.175 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1)))) into 0 2.176 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 2.176 * [taylor]: Taking taylor expansion of 0 in K 2.176 * [backup-simplify]: Simplify 0 into 0 2.176 * [taylor]: Taking taylor expansion of 0 in U 2.176 * [backup-simplify]: Simplify 0 into 0 2.176 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 2.176 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow U 2))) into 0 2.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) (/ 0 (* (cos (/ -1/2 K)) (pow U 2)))))) into 0 2.177 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) into 0 2.177 * [taylor]: Taking taylor expansion of 0 in U 2.177 * [backup-simplify]: Simplify 0 into 0 2.177 * [taylor]: Taking taylor expansion of 0 in U 2.177 * [backup-simplify]: Simplify 0 into 0 2.177 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 2.178 * [taylor]: Taking taylor expansion of 0 in U 2.178 * [backup-simplify]: Simplify 0 into 0 2.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.179 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.179 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.179 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.180 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.180 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.180 * [backup-simplify]: Simplify (- 0) into 0 2.181 * [backup-simplify]: Simplify (+ 0 0) into 0 2.181 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.181 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 2.181 * [backup-simplify]: Simplify 0 into 0 2.181 * [backup-simplify]: Simplify 0 into 0 2.181 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 (* (cos (* 1/2 K)) J)) 2.182 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 2.182 * [backup-simplify]: Simplify (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 2.182 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in (U K J) around 0 2.182 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 2.182 * [taylor]: Taking taylor expansion of 1/4 in J 2.182 * [backup-simplify]: Simplify 1/4 into 1/4 2.182 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 2.182 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.182 * [taylor]: Taking taylor expansion of U in J 2.182 * [backup-simplify]: Simplify U into U 2.182 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 2.182 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 2.182 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.182 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.182 * [taylor]: Taking taylor expansion of 1/2 in J 2.182 * [backup-simplify]: Simplify 1/2 into 1/2 2.182 * [taylor]: Taking taylor expansion of K in J 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 2.183 * [backup-simplify]: Simplify (- 0) into 0 2.183 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.183 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.183 * [taylor]: Taking taylor expansion of J in J 2.183 * [backup-simplify]: Simplify 0 into 0 2.183 * [backup-simplify]: Simplify 1 into 1 2.183 * [backup-simplify]: Simplify (* U U) into (pow U 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) 2.183 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 2.183 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 2.183 * [taylor]: Taking taylor expansion of 1/4 in K 2.183 * [backup-simplify]: Simplify 1/4 into 1/4 2.183 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 2.183 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.183 * [taylor]: Taking taylor expansion of U in K 2.183 * [backup-simplify]: Simplify U into U 2.183 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 2.183 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 2.183 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.183 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.183 * [taylor]: Taking taylor expansion of 1/2 in K 2.184 * [backup-simplify]: Simplify 1/2 into 1/2 2.184 * [taylor]: Taking taylor expansion of K in K 2.184 * [backup-simplify]: Simplify 0 into 0 2.184 * [backup-simplify]: Simplify 1 into 1 2.184 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.184 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.184 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.184 * [taylor]: Taking taylor expansion of J in K 2.184 * [backup-simplify]: Simplify J into J 2.184 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.185 * [backup-simplify]: Simplify (* 1 1) into 1 2.185 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.185 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 2.185 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 2.185 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 2.185 * [taylor]: Taking taylor expansion of 1/4 in U 2.185 * [backup-simplify]: Simplify 1/4 into 1/4 2.185 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 2.185 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.185 * [taylor]: Taking taylor expansion of U in U 2.185 * [backup-simplify]: Simplify 0 into 0 2.185 * [backup-simplify]: Simplify 1 into 1 2.185 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 2.185 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 2.185 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 2.185 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 2.185 * [taylor]: Taking taylor expansion of 1/2 in U 2.185 * [backup-simplify]: Simplify 1/2 into 1/2 2.185 * [taylor]: Taking taylor expansion of K in U 2.185 * [backup-simplify]: Simplify K into K 2.185 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.185 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.185 * [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 2.186 * [backup-simplify]: Simplify (- 0) into 0 2.186 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.186 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.186 * [taylor]: Taking taylor expansion of J in U 2.186 * [backup-simplify]: Simplify J into J 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 (* J J) into (pow J 2) 2.186 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 2.186 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 2.186 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 2.186 * [taylor]: Taking taylor expansion of 1/4 in U 2.186 * [backup-simplify]: Simplify 1/4 into 1/4 2.186 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 2.186 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.186 * [taylor]: Taking taylor expansion of U in U 2.186 * [backup-simplify]: Simplify 0 into 0 2.186 * [backup-simplify]: Simplify 1 into 1 2.186 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 2.186 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 2.186 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 2.186 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 2.186 * [taylor]: Taking taylor expansion of 1/2 in U 2.186 * [backup-simplify]: Simplify 1/2 into 1/2 2.186 * [taylor]: Taking taylor expansion of K in U 2.187 * [backup-simplify]: Simplify K into K 2.187 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.187 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.187 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.187 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.187 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.187 * [backup-simplify]: Simplify (- 0) into 0 2.187 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.187 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.187 * [taylor]: Taking taylor expansion of J in U 2.187 * [backup-simplify]: Simplify J into J 2.187 * [backup-simplify]: Simplify (* 1 1) into 1 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 (* J J) into (pow J 2) 2.188 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 2.188 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 2.188 * [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))) 2.188 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 2.188 * [taylor]: Taking taylor expansion of 1/4 in K 2.188 * [backup-simplify]: Simplify 1/4 into 1/4 2.188 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 2.188 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 2.188 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.188 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.188 * [taylor]: Taking taylor expansion of 1/2 in K 2.188 * [backup-simplify]: Simplify 1/2 into 1/2 2.188 * [taylor]: Taking taylor expansion of K in K 2.188 * [backup-simplify]: Simplify 0 into 0 2.188 * [backup-simplify]: Simplify 1 into 1 2.188 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.189 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.189 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.189 * [taylor]: Taking taylor expansion of J in K 2.189 * [backup-simplify]: Simplify J into J 2.189 * [backup-simplify]: Simplify (* 1 1) into 1 2.189 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.189 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 2.189 * [backup-simplify]: Simplify (/ 1/4 (pow J 2)) into (/ 1/4 (pow J 2)) 2.189 * [taylor]: Taking taylor expansion of (/ 1/4 (pow J 2)) in J 2.189 * [taylor]: Taking taylor expansion of 1/4 in J 2.189 * [backup-simplify]: Simplify 1/4 into 1/4 2.189 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.189 * [taylor]: Taking taylor expansion of J in J 2.189 * [backup-simplify]: Simplify 0 into 0 2.189 * [backup-simplify]: Simplify 1 into 1 2.190 * [backup-simplify]: Simplify (* 1 1) into 1 2.190 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 2.190 * [backup-simplify]: Simplify 1/4 into 1/4 2.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.190 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.191 * [backup-simplify]: Simplify (+ 0) into 0 2.191 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.191 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.192 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.192 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.192 * [backup-simplify]: Simplify (- 0) into 0 2.193 * [backup-simplify]: Simplify (+ 0 0) into 0 2.193 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 2.193 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 2.193 * [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 2.194 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 2.194 * [taylor]: Taking taylor expansion of 0 in K 2.194 * [backup-simplify]: Simplify 0 into 0 2.194 * [taylor]: Taking taylor expansion of 0 in J 2.194 * [backup-simplify]: Simplify 0 into 0 2.194 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) 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 (+ (* 1 0) (* 0 (pow J 2))) into 0 2.195 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ 0 (pow J 2))))) into 0 2.195 * [taylor]: Taking taylor expansion of 0 in J 2.195 * [backup-simplify]: Simplify 0 into 0 2.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 2.196 * [backup-simplify]: Simplify 0 into 0 2.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.197 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.198 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.198 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.199 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 2.199 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.200 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.200 * [backup-simplify]: Simplify (- 0) into 0 2.200 * [backup-simplify]: Simplify (+ 0 0) into 0 2.200 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 2.201 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0 2.201 * [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 2.202 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 2.202 * [taylor]: Taking taylor expansion of 0 in K 2.202 * [backup-simplify]: Simplify 0 into 0 2.202 * [taylor]: Taking taylor expansion of 0 in J 2.202 * [backup-simplify]: Simplify 0 into 0 2.202 * [taylor]: Taking taylor expansion of 0 in J 2.202 * [backup-simplify]: Simplify 0 into 0 2.202 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.203 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 2.203 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4 2.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (pow J 2)))) into (- (* 1/4 (pow J 2))) 2.204 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* 0 (/ 0 (pow J 2))))) into (* 1/16 (/ 1 (pow J 2))) 2.204 * [taylor]: Taking taylor expansion of (* 1/16 (/ 1 (pow J 2))) in J 2.204 * [taylor]: Taking taylor expansion of 1/16 in J 2.204 * [backup-simplify]: Simplify 1/16 into 1/16 2.204 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J 2.204 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.204 * [taylor]: Taking taylor expansion of J in J 2.204 * [backup-simplify]: Simplify 0 into 0 2.204 * [backup-simplify]: Simplify 1 into 1 2.204 * [backup-simplify]: Simplify (* 1 1) into 1 2.205 * [backup-simplify]: Simplify (/ 1 1) into 1 2.205 * [backup-simplify]: Simplify (* 1/16 1) into 1/16 2.205 * [backup-simplify]: Simplify 1/16 into 1/16 2.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.206 * [backup-simplify]: Simplify 0 into 0 2.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.207 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 2.208 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.208 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.209 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 2.210 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.210 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.211 * [backup-simplify]: Simplify (- 0) into 0 2.211 * [backup-simplify]: Simplify (+ 0 0) into 0 2.214 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 2.215 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0 2.215 * [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 2.216 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) into 0 2.216 * [taylor]: Taking taylor expansion of 0 in K 2.216 * [backup-simplify]: Simplify 0 into 0 2.216 * [taylor]: Taking taylor expansion of 0 in J 2.216 * [backup-simplify]: Simplify 0 into 0 2.216 * [taylor]: Taking taylor expansion of 0 in J 2.216 * [backup-simplify]: Simplify 0 into 0 2.216 * [taylor]: Taking taylor expansion of 0 in J 2.216 * [backup-simplify]: Simplify 0 into 0 2.217 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 2.217 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 2.218 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0 2.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (* 0 (pow J 2))))) into 0 2.221 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ 0 (pow J 2))) (* 0 (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* (* 1/16 (/ 1 (pow J 2))) (/ 0 (pow J 2))))) into 0 2.221 * [taylor]: Taking taylor expansion of 0 in J 2.221 * [backup-simplify]: Simplify 0 into 0 2.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.223 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 1)) into 0 2.223 * [backup-simplify]: Simplify 0 into 0 2.223 * [backup-simplify]: Simplify 0 into 0 2.223 * [backup-simplify]: Simplify 0 into 0 2.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.224 * [backup-simplify]: Simplify 0 into 0 2.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.226 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 2.227 * [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 2.228 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.229 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 2.229 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.230 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 2.230 * [backup-simplify]: Simplify (- 0) into 0 2.230 * [backup-simplify]: Simplify (+ 0 0) into 0 2.231 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0 2.232 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2)))))) into 0 2.232 * [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 2.234 * [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 2.234 * [taylor]: Taking taylor expansion of 0 in K 2.234 * [backup-simplify]: Simplify 0 into 0 2.234 * [taylor]: Taking taylor expansion of 0 in J 2.234 * [backup-simplify]: Simplify 0 into 0 2.234 * [taylor]: Taking taylor expansion of 0 in J 2.234 * [backup-simplify]: Simplify 0 into 0 2.234 * [taylor]: Taking taylor expansion of 0 in J 2.234 * [backup-simplify]: Simplify 0 into 0 2.234 * [taylor]: Taking taylor expansion of 0 in J 2.234 * [backup-simplify]: Simplify 0 into 0 2.234 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 2.235 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.237 * [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 2.238 * [backup-simplify]: Simplify (+ (* 1 1/384) (+ (* 0 0) (+ (* -1/8 -1/8) (+ (* 0 0) (* 1/384 1))))) into 1/48 2.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (+ (* 0 0) (* 1/48 (pow J 2)))))) into (* 1/48 (pow J 2)) 2.239 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ (* 1/48 (pow J 2)) (pow J 2))) (* 0 (/ 0 (pow J 2))) (* (* 1/16 (/ 1 (pow J 2))) (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* 0 (/ 0 (pow J 2))))) into (* 1/96 (/ 1 (pow J 2))) 2.239 * [taylor]: Taking taylor expansion of (* 1/96 (/ 1 (pow J 2))) in J 2.239 * [taylor]: Taking taylor expansion of 1/96 in J 2.239 * [backup-simplify]: Simplify 1/96 into 1/96 2.239 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J 2.239 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.239 * [taylor]: Taking taylor expansion of J in J 2.239 * [backup-simplify]: Simplify 0 into 0 2.239 * [backup-simplify]: Simplify 1 into 1 2.239 * [backup-simplify]: Simplify (* 1 1) into 1 2.240 * [backup-simplify]: Simplify (/ 1 1) into 1 2.240 * [backup-simplify]: Simplify (* 1/96 1) into 1/96 2.240 * [backup-simplify]: Simplify 1/96 into 1/96 2.241 * [backup-simplify]: Simplify (+ (* 1/96 (pow (* (/ 1 J) (* (pow K 2) U)) 2)) (+ (* 1/16 (pow (* (/ 1 J) (* K U)) 2)) (* 1/4 (pow (* (/ 1 J) (* 1 U)) 2)))) into (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (* (pow K 4) (pow U 2)) (pow J 2))))) 2.241 * [backup-simplify]: Simplify (* (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J)))) (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 2.241 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in (U K J) around 0 2.241 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 2.241 * [taylor]: Taking taylor expansion of 1/4 in J 2.241 * [backup-simplify]: Simplify 1/4 into 1/4 2.241 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 2.241 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.241 * [taylor]: Taking taylor expansion of J in J 2.241 * [backup-simplify]: Simplify 0 into 0 2.241 * [backup-simplify]: Simplify 1 into 1 2.241 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 2.241 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.241 * [taylor]: Taking taylor expansion of U in J 2.241 * [backup-simplify]: Simplify U into U 2.241 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 2.241 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.241 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.241 * [taylor]: Taking taylor expansion of 1/2 in J 2.241 * [backup-simplify]: Simplify 1/2 into 1/2 2.241 * [taylor]: Taking taylor expansion of K in J 2.241 * [backup-simplify]: Simplify K into K 2.241 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.241 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.241 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.241 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.242 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.242 * [backup-simplify]: Simplify (- 0) into 0 2.242 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.242 * [backup-simplify]: Simplify (* 1 1) into 1 2.242 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.242 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.243 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 2.243 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 2.243 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 2.243 * [taylor]: Taking taylor expansion of 1/4 in K 2.243 * [backup-simplify]: Simplify 1/4 into 1/4 2.243 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 2.243 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.243 * [taylor]: Taking taylor expansion of J in K 2.243 * [backup-simplify]: Simplify J into J 2.243 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 2.243 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.243 * [taylor]: Taking taylor expansion of U in K 2.243 * [backup-simplify]: Simplify U into U 2.243 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 2.243 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.243 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.243 * [taylor]: Taking taylor expansion of 1/2 in K 2.243 * [backup-simplify]: Simplify 1/2 into 1/2 2.243 * [taylor]: Taking taylor expansion of K in K 2.243 * [backup-simplify]: Simplify 0 into 0 2.243 * [backup-simplify]: Simplify 1 into 1 2.243 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.243 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.243 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.243 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.243 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.244 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 2.244 * [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))) 2.244 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 2.244 * [taylor]: Taking taylor expansion of 1/4 in U 2.244 * [backup-simplify]: Simplify 1/4 into 1/4 2.244 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 2.244 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.244 * [taylor]: Taking taylor expansion of J in U 2.244 * [backup-simplify]: Simplify J into J 2.244 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 2.244 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.244 * [taylor]: Taking taylor expansion of U in U 2.244 * [backup-simplify]: Simplify 0 into 0 2.244 * [backup-simplify]: Simplify 1 into 1 2.244 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 2.244 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.244 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.244 * [taylor]: Taking taylor expansion of 1/2 in U 2.244 * [backup-simplify]: Simplify 1/2 into 1/2 2.244 * [taylor]: Taking taylor expansion of K in U 2.244 * [backup-simplify]: Simplify K into K 2.244 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.244 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.244 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.244 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.244 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.244 * [backup-simplify]: Simplify (- 0) into 0 2.244 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.245 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.245 * [backup-simplify]: Simplify (* 1 1) into 1 2.245 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.245 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 2.245 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 2.245 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 2.245 * [taylor]: Taking taylor expansion of 1/4 in U 2.245 * [backup-simplify]: Simplify 1/4 into 1/4 2.245 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 2.245 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.245 * [taylor]: Taking taylor expansion of J in U 2.245 * [backup-simplify]: Simplify J into J 2.245 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 2.245 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.245 * [taylor]: Taking taylor expansion of U in U 2.245 * [backup-simplify]: Simplify 0 into 0 2.245 * [backup-simplify]: Simplify 1 into 1 2.245 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 2.245 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.245 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.245 * [taylor]: Taking taylor expansion of 1/2 in U 2.245 * [backup-simplify]: Simplify 1/2 into 1/2 2.245 * [taylor]: Taking taylor expansion of K in U 2.245 * [backup-simplify]: Simplify K into K 2.245 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.245 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.245 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.246 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.246 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.246 * [backup-simplify]: Simplify (- 0) into 0 2.246 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.246 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.246 * [backup-simplify]: Simplify (* 1 1) into 1 2.246 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.246 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 2.246 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 2.247 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2.247 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 2.247 * [taylor]: Taking taylor expansion of 1/4 in K 2.247 * [backup-simplify]: Simplify 1/4 into 1/4 2.247 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 2.247 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.247 * [taylor]: Taking taylor expansion of J in K 2.247 * [backup-simplify]: Simplify J into J 2.247 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 2.247 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.247 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.247 * [taylor]: Taking taylor expansion of 1/2 in K 2.247 * [backup-simplify]: Simplify 1/2 into 1/2 2.247 * [taylor]: Taking taylor expansion of K in K 2.247 * [backup-simplify]: Simplify 0 into 0 2.247 * [backup-simplify]: Simplify 1 into 1 2.247 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.247 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.247 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.247 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.247 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 2.247 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2.247 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 2.248 * [taylor]: Taking taylor expansion of 1/4 in J 2.248 * [backup-simplify]: Simplify 1/4 into 1/4 2.248 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 2.248 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.248 * [taylor]: Taking taylor expansion of J in J 2.248 * [backup-simplify]: Simplify 0 into 0 2.248 * [backup-simplify]: Simplify 1 into 1 2.248 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 2.248 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.248 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.248 * [taylor]: Taking taylor expansion of 1/2 in J 2.248 * [backup-simplify]: Simplify 1/2 into 1/2 2.248 * [taylor]: Taking taylor expansion of K in J 2.248 * [backup-simplify]: Simplify K into K 2.248 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.248 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.248 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.248 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.248 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.248 * [backup-simplify]: Simplify (- 0) into 0 2.248 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.249 * [backup-simplify]: Simplify (* 1 1) into 1 2.249 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 2.249 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 2.249 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2.249 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2.249 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.249 * [backup-simplify]: Simplify (+ 0) into 0 2.249 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.250 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.250 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.250 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.251 * [backup-simplify]: Simplify (- 0) into 0 2.251 * [backup-simplify]: Simplify (+ 0 0) into 0 2.251 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 2.252 * [backup-simplify]: 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 2.252 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 2.252 * [taylor]: Taking taylor expansion of 0 in K 2.252 * [backup-simplify]: Simplify 0 into 0 2.252 * [taylor]: Taking taylor expansion of 0 in J 2.252 * [backup-simplify]: Simplify 0 into 0 2.252 * [backup-simplify]: Simplify 0 into 0 2.252 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.253 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.253 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 2.253 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 2.253 * [taylor]: Taking taylor expansion of 0 in J 2.253 * [backup-simplify]: Simplify 0 into 0 2.253 * [backup-simplify]: Simplify 0 into 0 2.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.254 * [backup-simplify]: Simplify (+ 0) into 0 2.254 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.254 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.255 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.255 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.255 * [backup-simplify]: Simplify (- 0) into 0 2.255 * [backup-simplify]: Simplify (+ 0 0) into 0 2.256 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 2.256 * [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 2.256 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 2.256 * [backup-simplify]: Simplify 0 into 0 2.257 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.258 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.259 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.259 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.260 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.260 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.261 * [backup-simplify]: Simplify (- 0) into 0 2.261 * [backup-simplify]: Simplify (+ 0 0) into 0 2.261 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 2.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 2.264 * [backup-simplify]: 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 2.265 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 2.265 * [taylor]: Taking taylor expansion of 0 in K 2.265 * [backup-simplify]: Simplify 0 into 0 2.265 * [taylor]: Taking taylor expansion of 0 in J 2.265 * [backup-simplify]: Simplify 0 into 0 2.265 * [backup-simplify]: Simplify 0 into 0 2.265 * [taylor]: Taking taylor expansion of 0 in J 2.265 * [backup-simplify]: Simplify 0 into 0 2.265 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.266 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 2.267 * [backup-simplify]: 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 2.267 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 2.268 * [taylor]: Taking taylor expansion of 0 in J 2.268 * [backup-simplify]: Simplify 0 into 0 2.268 * [backup-simplify]: Simplify 0 into 0 2.268 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)) (pow (* (/ 1 J) (* 1 (/ 1 (/ 1 U)))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 2.268 * [backup-simplify]: Simplify (* (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J))))) (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 2.268 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in (U K J) around 0 2.268 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 2.268 * [taylor]: Taking taylor expansion of 1/4 in J 2.269 * [backup-simplify]: Simplify 1/4 into 1/4 2.269 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 2.269 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.269 * [taylor]: Taking taylor expansion of J in J 2.269 * [backup-simplify]: Simplify 0 into 0 2.269 * [backup-simplify]: Simplify 1 into 1 2.269 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 2.269 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 2.269 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.269 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.269 * [taylor]: Taking taylor expansion of -1/2 in J 2.269 * [backup-simplify]: Simplify -1/2 into -1/2 2.269 * [taylor]: Taking taylor expansion of K in J 2.269 * [backup-simplify]: Simplify K into K 2.269 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.269 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.269 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.269 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.269 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.270 * [backup-simplify]: Simplify (- 0) into 0 2.270 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.270 * [taylor]: Taking taylor expansion of (pow U 2) in J 2.270 * [taylor]: Taking taylor expansion of U in J 2.270 * [backup-simplify]: Simplify U into U 2.270 * [backup-simplify]: Simplify (* 1 1) into 1 2.271 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.271 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.271 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 2.271 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 2.271 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 2.271 * [taylor]: Taking taylor expansion of 1/4 in K 2.271 * [backup-simplify]: Simplify 1/4 into 1/4 2.271 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 2.271 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.271 * [taylor]: Taking taylor expansion of J in K 2.271 * [backup-simplify]: Simplify J into J 2.271 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 2.271 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 2.271 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.271 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.271 * [taylor]: Taking taylor expansion of -1/2 in K 2.271 * [backup-simplify]: Simplify -1/2 into -1/2 2.271 * [taylor]: Taking taylor expansion of K in K 2.272 * [backup-simplify]: Simplify 0 into 0 2.272 * [backup-simplify]: Simplify 1 into 1 2.272 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.272 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.272 * [taylor]: Taking taylor expansion of (pow U 2) in K 2.272 * [taylor]: Taking taylor expansion of U in K 2.272 * [backup-simplify]: Simplify U into U 2.272 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.273 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.273 * [backup-simplify]: Simplify (* U U) into (pow U 2) 2.273 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 2.273 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 2.273 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 2.273 * [taylor]: Taking taylor expansion of 1/4 in U 2.273 * [backup-simplify]: Simplify 1/4 into 1/4 2.273 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 2.273 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.273 * [taylor]: Taking taylor expansion of J in U 2.273 * [backup-simplify]: Simplify J into J 2.273 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 2.273 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 2.273 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.273 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.273 * [taylor]: Taking taylor expansion of -1/2 in U 2.273 * [backup-simplify]: Simplify -1/2 into -1/2 2.273 * [taylor]: Taking taylor expansion of K in U 2.273 * [backup-simplify]: Simplify K into K 2.274 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.274 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.274 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.274 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.274 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.274 * [backup-simplify]: Simplify (- 0) into 0 2.274 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.274 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.274 * [taylor]: Taking taylor expansion of U in U 2.275 * [backup-simplify]: Simplify 0 into 0 2.275 * [backup-simplify]: Simplify 1 into 1 2.275 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.275 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.275 * [backup-simplify]: Simplify (* 1 1) into 1 2.275 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 2.275 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 2.275 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 2.276 * [taylor]: Taking taylor expansion of 1/4 in U 2.276 * [backup-simplify]: Simplify 1/4 into 1/4 2.276 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 2.276 * [taylor]: Taking taylor expansion of (pow J 2) in U 2.276 * [taylor]: Taking taylor expansion of J in U 2.276 * [backup-simplify]: Simplify J into J 2.276 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 2.276 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 2.276 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.276 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.276 * [taylor]: Taking taylor expansion of -1/2 in U 2.276 * [backup-simplify]: Simplify -1/2 into -1/2 2.276 * [taylor]: Taking taylor expansion of K in U 2.276 * [backup-simplify]: Simplify K into K 2.276 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.276 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.276 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.276 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.276 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.277 * [backup-simplify]: Simplify (- 0) into 0 2.277 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.277 * [taylor]: Taking taylor expansion of (pow U 2) in U 2.277 * [taylor]: Taking taylor expansion of U in U 2.277 * [backup-simplify]: Simplify 0 into 0 2.277 * [backup-simplify]: Simplify 1 into 1 2.277 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.277 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.278 * [backup-simplify]: Simplify (* 1 1) into 1 2.278 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 2.278 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 2.278 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2.278 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 2.278 * [taylor]: Taking taylor expansion of 1/4 in K 2.278 * [backup-simplify]: Simplify 1/4 into 1/4 2.278 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 2.278 * [taylor]: Taking taylor expansion of (pow J 2) in K 2.278 * [taylor]: Taking taylor expansion of J in K 2.278 * [backup-simplify]: Simplify J into J 2.278 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 2.278 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.278 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.278 * [taylor]: Taking taylor expansion of -1/2 in K 2.279 * [backup-simplify]: Simplify -1/2 into -1/2 2.279 * [taylor]: Taking taylor expansion of K in K 2.279 * [backup-simplify]: Simplify 0 into 0 2.279 * [backup-simplify]: Simplify 1 into 1 2.279 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.279 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.279 * [backup-simplify]: Simplify (* J J) into (pow J 2) 2.279 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.280 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 2.280 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2.280 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 2.280 * [taylor]: Taking taylor expansion of 1/4 in J 2.280 * [backup-simplify]: Simplify 1/4 into 1/4 2.280 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 2.280 * [taylor]: Taking taylor expansion of (pow J 2) in J 2.280 * [taylor]: Taking taylor expansion of J in J 2.280 * [backup-simplify]: Simplify 0 into 0 2.280 * [backup-simplify]: Simplify 1 into 1 2.280 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 2.280 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.280 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.280 * [taylor]: Taking taylor expansion of -1/2 in J 2.280 * [backup-simplify]: Simplify -1/2 into -1/2 2.280 * [taylor]: Taking taylor expansion of K in J 2.280 * [backup-simplify]: Simplify K into K 2.280 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.280 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.280 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.280 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.280 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.280 * [backup-simplify]: Simplify (- 0) into 0 2.280 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.281 * [backup-simplify]: Simplify (* 1 1) into 1 2.281 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 2.281 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 2.281 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2.281 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2.281 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.282 * [backup-simplify]: Simplify (+ 0) into 0 2.282 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.282 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.283 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.283 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.283 * [backup-simplify]: Simplify (- 0) into 0 2.283 * [backup-simplify]: Simplify (+ 0 0) into 0 2.284 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.284 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 2.284 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 2.284 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 2.285 * [taylor]: Taking taylor expansion of 0 in K 2.285 * [backup-simplify]: Simplify 0 into 0 2.285 * [taylor]: Taking taylor expansion of 0 in J 2.285 * [backup-simplify]: Simplify 0 into 0 2.285 * [backup-simplify]: Simplify 0 into 0 2.285 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 2.285 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.285 * [backup-simplify]: 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 2.285 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 2.285 * [taylor]: Taking taylor expansion of 0 in J 2.285 * [backup-simplify]: Simplify 0 into 0 2.285 * [backup-simplify]: Simplify 0 into 0 2.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.286 * [backup-simplify]: Simplify (+ 0) into 0 2.286 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.286 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.287 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.287 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.287 * [backup-simplify]: Simplify (- 0) into 0 2.288 * [backup-simplify]: Simplify (+ 0 0) into 0 2.288 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 2.288 * [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 2.288 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 2.288 * [backup-simplify]: Simplify 0 into 0 2.289 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.290 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.290 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.290 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.291 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.291 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.291 * [backup-simplify]: Simplify (- 0) into 0 2.292 * [backup-simplify]: Simplify (+ 0 0) into 0 2.292 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 2.292 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 2.293 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 2.293 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 2.293 * [taylor]: Taking taylor expansion of 0 in K 2.293 * [backup-simplify]: Simplify 0 into 0 2.293 * [taylor]: Taking taylor expansion of 0 in J 2.293 * [backup-simplify]: Simplify 0 into 0 2.293 * [backup-simplify]: Simplify 0 into 0 2.293 * [taylor]: Taking taylor expansion of 0 in J 2.293 * [backup-simplify]: Simplify 0 into 0 2.293 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 2.294 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 2.294 * [backup-simplify]: 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 2.295 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 2.295 * [taylor]: Taking taylor expansion of 0 in J 2.295 * [backup-simplify]: Simplify 0 into 0 2.295 * [backup-simplify]: Simplify 0 into 0 2.295 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)) (pow (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U))))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 2.295 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2) 2.295 * [backup-simplify]: Simplify (/ U (* (cos (/ K 2)) (* 2 J))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2.295 * [approximate]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in (U K J) around 0 2.295 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 2.295 * [taylor]: Taking taylor expansion of 1/2 in J 2.295 * [backup-simplify]: Simplify 1/2 into 1/2 2.295 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 2.295 * [taylor]: Taking taylor expansion of U in J 2.295 * [backup-simplify]: Simplify U into U 2.295 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 2.295 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 2.295 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 2.295 * [taylor]: Taking taylor expansion of 1/2 in J 2.295 * [backup-simplify]: Simplify 1/2 into 1/2 2.295 * [taylor]: Taking taylor expansion of K in J 2.296 * [backup-simplify]: Simplify K into K 2.296 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.296 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.296 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.296 * [taylor]: Taking taylor expansion of J in J 2.296 * [backup-simplify]: Simplify 0 into 0 2.296 * [backup-simplify]: Simplify 1 into 1 2.296 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.296 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.296 * [backup-simplify]: Simplify (- 0) into 0 2.296 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.296 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 2.296 * [backup-simplify]: Simplify (+ 0) into 0 2.297 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.297 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.297 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.298 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.298 * [backup-simplify]: Simplify (- 0) into 0 2.298 * [backup-simplify]: Simplify (+ 0 0) into 0 2.298 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 2.299 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 2.299 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 2.299 * [taylor]: Taking taylor expansion of 1/2 in K 2.299 * [backup-simplify]: Simplify 1/2 into 1/2 2.299 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 2.299 * [taylor]: Taking taylor expansion of U in K 2.299 * [backup-simplify]: Simplify U into U 2.299 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 2.299 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.299 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.299 * [taylor]: Taking taylor expansion of 1/2 in K 2.299 * [backup-simplify]: Simplify 1/2 into 1/2 2.299 * [taylor]: Taking taylor expansion of K in K 2.299 * [backup-simplify]: Simplify 0 into 0 2.299 * [backup-simplify]: Simplify 1 into 1 2.299 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.299 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.299 * [taylor]: Taking taylor expansion of J in K 2.299 * [backup-simplify]: Simplify J into J 2.300 * [backup-simplify]: Simplify (* 1 J) into J 2.300 * [backup-simplify]: Simplify (/ U J) into (/ U J) 2.300 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 2.300 * [taylor]: Taking taylor expansion of 1/2 in U 2.300 * [backup-simplify]: Simplify 1/2 into 1/2 2.300 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 2.300 * [taylor]: Taking taylor expansion of U in U 2.300 * [backup-simplify]: Simplify 0 into 0 2.300 * [backup-simplify]: Simplify 1 into 1 2.300 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 2.300 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 2.300 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 2.300 * [taylor]: Taking taylor expansion of 1/2 in U 2.300 * [backup-simplify]: Simplify 1/2 into 1/2 2.300 * [taylor]: Taking taylor expansion of K in U 2.300 * [backup-simplify]: Simplify K into K 2.300 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.300 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.300 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.300 * [taylor]: Taking taylor expansion of J in U 2.300 * [backup-simplify]: Simplify J into J 2.300 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.300 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.300 * [backup-simplify]: Simplify (- 0) into 0 2.300 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.300 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 2.300 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 2.300 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 2.301 * [taylor]: Taking taylor expansion of 1/2 in U 2.301 * [backup-simplify]: Simplify 1/2 into 1/2 2.301 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 2.301 * [taylor]: Taking taylor expansion of U in U 2.301 * [backup-simplify]: Simplify 0 into 0 2.301 * [backup-simplify]: Simplify 1 into 1 2.301 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 2.301 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 2.301 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 2.301 * [taylor]: Taking taylor expansion of 1/2 in U 2.301 * [backup-simplify]: Simplify 1/2 into 1/2 2.301 * [taylor]: Taking taylor expansion of K in U 2.301 * [backup-simplify]: Simplify K into K 2.301 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 2.301 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 2.301 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 2.301 * [taylor]: Taking taylor expansion of J in U 2.301 * [backup-simplify]: Simplify J into J 2.301 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 2.301 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 2.301 * [backup-simplify]: Simplify (- 0) into 0 2.301 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 2.301 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 2.301 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 2.301 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 2.302 * [taylor]: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in K 2.302 * [taylor]: Taking taylor expansion of 1/2 in K 2.302 * [backup-simplify]: Simplify 1/2 into 1/2 2.302 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 2.302 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 2.302 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 2.302 * [taylor]: Taking taylor expansion of 1/2 in K 2.302 * [backup-simplify]: Simplify 1/2 into 1/2 2.302 * [taylor]: Taking taylor expansion of K in K 2.302 * [backup-simplify]: Simplify 0 into 0 2.302 * [backup-simplify]: Simplify 1 into 1 2.302 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.302 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.302 * [taylor]: Taking taylor expansion of J in K 2.302 * [backup-simplify]: Simplify J into J 2.302 * [backup-simplify]: Simplify (* 1 J) into J 2.303 * [backup-simplify]: Simplify (/ 1/2 J) into (/ 1/2 J) 2.303 * [taylor]: Taking taylor expansion of (/ 1/2 J) in J 2.303 * [taylor]: Taking taylor expansion of 1/2 in J 2.303 * [backup-simplify]: Simplify 1/2 into 1/2 2.303 * [taylor]: Taking taylor expansion of J in J 2.303 * [backup-simplify]: Simplify 0 into 0 2.303 * [backup-simplify]: Simplify 1 into 1 2.303 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.303 * [backup-simplify]: Simplify 1/2 into 1/2 2.303 * [backup-simplify]: Simplify (+ 0) into 0 2.303 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 2.304 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 2.304 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.305 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 2.305 * [backup-simplify]: Simplify (- 0) into 0 2.305 * [backup-simplify]: Simplify (+ 0 0) into 0 2.305 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 2.305 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 2.306 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 2.306 * [taylor]: Taking taylor expansion of 0 in K 2.306 * [backup-simplify]: Simplify 0 into 0 2.306 * [taylor]: Taking taylor expansion of 0 in J 2.306 * [backup-simplify]: Simplify 0 into 0 2.306 * [backup-simplify]: Simplify (+ 0) into 0 2.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 2.306 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ 1/2 J) (/ 0 J)))) into 0 2.306 * [taylor]: Taking taylor expansion of 0 in J 2.306 * [backup-simplify]: Simplify 0 into 0 2.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.307 * [backup-simplify]: Simplify 0 into 0 2.307 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.308 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.309 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 2.310 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.310 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.311 * [backup-simplify]: Simplify (- 0) into 0 2.311 * [backup-simplify]: Simplify (+ 0 0) into 0 2.311 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 2.312 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))))) into 0 2.313 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J))))) into 0 2.313 * [taylor]: Taking taylor expansion of 0 in K 2.313 * [backup-simplify]: Simplify 0 into 0 2.313 * [taylor]: Taking taylor expansion of 0 in J 2.313 * [backup-simplify]: Simplify 0 into 0 2.313 * [taylor]: Taking taylor expansion of 0 in J 2.313 * [backup-simplify]: Simplify 0 into 0 2.314 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 2.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 2.315 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ 1/2 J) (/ (- (* 1/8 J)) J)) (* 0 (/ 0 J)))) into (* 1/16 (/ 1 J)) 2.315 * [taylor]: Taking taylor expansion of (* 1/16 (/ 1 J)) in J 2.315 * [taylor]: Taking taylor expansion of 1/16 in J 2.315 * [backup-simplify]: Simplify 1/16 into 1/16 2.315 * [taylor]: Taking taylor expansion of (/ 1 J) in J 2.315 * [taylor]: Taking taylor expansion of J in J 2.315 * [backup-simplify]: Simplify 0 into 0 2.315 * [backup-simplify]: Simplify 1 into 1 2.316 * [backup-simplify]: Simplify (/ 1 1) into 1 2.316 * [backup-simplify]: Simplify (* 1/16 1) into 1/16 2.316 * [backup-simplify]: Simplify 1/16 into 1/16 2.316 * [backup-simplify]: Simplify 0 into 0 2.316 * [backup-simplify]: Simplify 0 into 0 2.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.318 * [backup-simplify]: Simplify 0 into 0 2.323 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.324 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.325 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 2.327 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.328 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.328 * [backup-simplify]: Simplify (- 0) into 0 2.329 * [backup-simplify]: Simplify (+ 0 0) into 0 2.329 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 2.330 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))))) into 0 2.332 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))))) into 0 2.332 * [taylor]: Taking taylor expansion of 0 in K 2.332 * [backup-simplify]: Simplify 0 into 0 2.332 * [taylor]: Taking taylor expansion of 0 in J 2.332 * [backup-simplify]: Simplify 0 into 0 2.332 * [taylor]: Taking taylor expansion of 0 in J 2.332 * [backup-simplify]: Simplify 0 into 0 2.332 * [taylor]: Taking taylor expansion of 0 in J 2.332 * [backup-simplify]: Simplify 0 into 0 2.333 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 2.335 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 2.336 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ 1/2 J) (/ 0 J)) (* 0 (/ (- (* 1/8 J)) J)) (* (* 1/16 (/ 1 J)) (/ 0 J)))) into 0 2.336 * [taylor]: Taking taylor expansion of 0 in J 2.336 * [backup-simplify]: Simplify 0 into 0 2.336 * [backup-simplify]: Simplify 0 into 0 2.337 * [backup-simplify]: Simplify 0 into 0 2.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.338 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 1)) into 0 2.338 * [backup-simplify]: Simplify 0 into 0 2.339 * [backup-simplify]: Simplify (+ (* 1/16 (* (/ 1 J) (* (pow K 2) U))) (* 1/2 (* (/ 1 J) (* 1 U)))) into (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))) 2.339 * [backup-simplify]: Simplify (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J)))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2.339 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in (U K J) around 0 2.339 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 2.339 * [taylor]: Taking taylor expansion of 1/2 in J 2.339 * [backup-simplify]: Simplify 1/2 into 1/2 2.339 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 2.339 * [taylor]: Taking taylor expansion of J in J 2.339 * [backup-simplify]: Simplify 0 into 0 2.339 * [backup-simplify]: Simplify 1 into 1 2.339 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 2.339 * [taylor]: Taking taylor expansion of U in J 2.339 * [backup-simplify]: Simplify U into U 2.339 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.339 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.339 * [taylor]: Taking taylor expansion of 1/2 in J 2.339 * [backup-simplify]: Simplify 1/2 into 1/2 2.339 * [taylor]: Taking taylor expansion of K in J 2.339 * [backup-simplify]: Simplify K into K 2.339 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.339 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.340 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.340 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.340 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.340 * [backup-simplify]: Simplify (- 0) into 0 2.340 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.341 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 2.341 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 2.341 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 2.341 * [taylor]: Taking taylor expansion of 1/2 in K 2.341 * [backup-simplify]: Simplify 1/2 into 1/2 2.341 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 2.341 * [taylor]: Taking taylor expansion of J in K 2.341 * [backup-simplify]: Simplify J into J 2.341 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 2.341 * [taylor]: Taking taylor expansion of U in K 2.341 * [backup-simplify]: Simplify U into U 2.341 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.341 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.341 * [taylor]: Taking taylor expansion of 1/2 in K 2.341 * [backup-simplify]: Simplify 1/2 into 1/2 2.341 * [taylor]: Taking taylor expansion of K in K 2.341 * [backup-simplify]: Simplify 0 into 0 2.341 * [backup-simplify]: Simplify 1 into 1 2.342 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.342 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.342 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 2.342 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 2.342 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 2.342 * [taylor]: Taking taylor expansion of 1/2 in U 2.342 * [backup-simplify]: Simplify 1/2 into 1/2 2.342 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 2.342 * [taylor]: Taking taylor expansion of J in U 2.342 * [backup-simplify]: Simplify J into J 2.342 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 2.342 * [taylor]: Taking taylor expansion of U in U 2.342 * [backup-simplify]: Simplify 0 into 0 2.342 * [backup-simplify]: Simplify 1 into 1 2.342 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.342 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.343 * [taylor]: Taking taylor expansion of 1/2 in U 2.343 * [backup-simplify]: Simplify 1/2 into 1/2 2.343 * [taylor]: Taking taylor expansion of K in U 2.343 * [backup-simplify]: Simplify K into K 2.343 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.343 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.343 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.343 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.343 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.344 * [backup-simplify]: Simplify (- 0) into 0 2.344 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.344 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 2.344 * [backup-simplify]: Simplify (+ 0) into 0 2.345 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.345 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.346 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.346 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.347 * [backup-simplify]: Simplify (- 0) into 0 2.347 * [backup-simplify]: Simplify (+ 0 0) into 0 2.348 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 2.348 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 2.348 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 2.348 * [taylor]: Taking taylor expansion of 1/2 in U 2.348 * [backup-simplify]: Simplify 1/2 into 1/2 2.348 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 2.348 * [taylor]: Taking taylor expansion of J in U 2.348 * [backup-simplify]: Simplify J into J 2.348 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 2.348 * [taylor]: Taking taylor expansion of U in U 2.348 * [backup-simplify]: Simplify 0 into 0 2.348 * [backup-simplify]: Simplify 1 into 1 2.348 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 2.348 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 2.348 * [taylor]: Taking taylor expansion of 1/2 in U 2.348 * [backup-simplify]: Simplify 1/2 into 1/2 2.348 * [taylor]: Taking taylor expansion of K in U 2.349 * [backup-simplify]: Simplify K into K 2.349 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.349 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.349 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.349 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.349 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.349 * [backup-simplify]: Simplify (- 0) into 0 2.350 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.350 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 2.350 * [backup-simplify]: Simplify (+ 0) into 0 2.351 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.351 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.352 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.352 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.353 * [backup-simplify]: Simplify (- 0) into 0 2.353 * [backup-simplify]: Simplify (+ 0 0) into 0 2.354 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 2.354 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 2.354 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 2.354 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 2.354 * [taylor]: Taking taylor expansion of 1/2 in K 2.354 * [backup-simplify]: Simplify 1/2 into 1/2 2.354 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 2.354 * [taylor]: Taking taylor expansion of J in K 2.354 * [backup-simplify]: Simplify J into J 2.354 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 2.354 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 2.354 * [taylor]: Taking taylor expansion of 1/2 in K 2.354 * [backup-simplify]: Simplify 1/2 into 1/2 2.354 * [taylor]: Taking taylor expansion of K in K 2.354 * [backup-simplify]: Simplify 0 into 0 2.354 * [backup-simplify]: Simplify 1 into 1 2.355 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.355 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.355 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 2.355 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 2.355 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 2.355 * [taylor]: Taking taylor expansion of 1/2 in J 2.355 * [backup-simplify]: Simplify 1/2 into 1/2 2.355 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 2.355 * [taylor]: Taking taylor expansion of J in J 2.355 * [backup-simplify]: Simplify 0 into 0 2.355 * [backup-simplify]: Simplify 1 into 1 2.355 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 2.355 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 2.355 * [taylor]: Taking taylor expansion of 1/2 in J 2.355 * [backup-simplify]: Simplify 1/2 into 1/2 2.355 * [taylor]: Taking taylor expansion of K in J 2.355 * [backup-simplify]: Simplify K into K 2.356 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 2.356 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 2.356 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 2.356 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 2.356 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 2.356 * [backup-simplify]: Simplify (- 0) into 0 2.357 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 2.357 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 2.357 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 2.357 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 2.358 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.359 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.359 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.360 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.361 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.361 * [backup-simplify]: Simplify (- 0) into 0 2.361 * [backup-simplify]: Simplify (+ 0 0) into 0 2.363 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 2.363 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 2.364 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 2.364 * [taylor]: Taking taylor expansion of 0 in K 2.364 * [backup-simplify]: Simplify 0 into 0 2.364 * [taylor]: Taking taylor expansion of 0 in J 2.364 * [backup-simplify]: Simplify 0 into 0 2.364 * [backup-simplify]: Simplify 0 into 0 2.364 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 2.364 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 2.365 * [taylor]: Taking taylor expansion of 0 in J 2.365 * [backup-simplify]: Simplify 0 into 0 2.365 * [backup-simplify]: Simplify 0 into 0 2.365 * [backup-simplify]: Simplify (+ 0) into 0 2.365 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 2.365 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 2.366 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.366 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 2.366 * [backup-simplify]: Simplify (- 0) into 0 2.367 * [backup-simplify]: Simplify (+ 0 0) into 0 2.367 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 2.367 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 2.367 * [backup-simplify]: Simplify 0 into 0 2.368 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.368 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.369 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.369 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.370 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.370 * [backup-simplify]: Simplify (- 0) into 0 2.370 * [backup-simplify]: Simplify (+ 0 0) into 0 2.371 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 2.371 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 2.372 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 2.372 * [taylor]: Taking taylor expansion of 0 in K 2.372 * [backup-simplify]: Simplify 0 into 0 2.372 * [taylor]: Taking taylor expansion of 0 in J 2.372 * [backup-simplify]: Simplify 0 into 0 2.372 * [backup-simplify]: Simplify 0 into 0 2.372 * [taylor]: Taking taylor expansion of 0 in J 2.372 * [backup-simplify]: Simplify 0 into 0 2.372 * [backup-simplify]: Simplify 0 into 0 2.373 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 2.373 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 2.373 * [taylor]: Taking taylor expansion of 0 in J 2.373 * [backup-simplify]: Simplify 0 into 0 2.373 * [backup-simplify]: Simplify 0 into 0 2.373 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2.374 * [backup-simplify]: Simplify (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J))))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2.374 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in (U K J) around 0 2.374 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 2.374 * [taylor]: Taking taylor expansion of 1/2 in J 2.374 * [backup-simplify]: Simplify 1/2 into 1/2 2.374 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 2.374 * [taylor]: Taking taylor expansion of J in J 2.374 * [backup-simplify]: Simplify 0 into 0 2.374 * [backup-simplify]: Simplify 1 into 1 2.374 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 2.374 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.374 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.374 * [taylor]: Taking taylor expansion of -1/2 in J 2.374 * [backup-simplify]: Simplify -1/2 into -1/2 2.374 * [taylor]: Taking taylor expansion of K in J 2.374 * [backup-simplify]: Simplify K into K 2.374 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.374 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.374 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.374 * [taylor]: Taking taylor expansion of U in J 2.374 * [backup-simplify]: Simplify U into U 2.374 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.374 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.374 * [backup-simplify]: Simplify (- 0) into 0 2.374 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.375 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 2.375 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 2.375 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 2.375 * [taylor]: Taking taylor expansion of 1/2 in K 2.375 * [backup-simplify]: Simplify 1/2 into 1/2 2.375 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 2.375 * [taylor]: Taking taylor expansion of J in K 2.375 * [backup-simplify]: Simplify J into J 2.375 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 2.375 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.375 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.375 * [taylor]: Taking taylor expansion of -1/2 in K 2.375 * [backup-simplify]: Simplify -1/2 into -1/2 2.375 * [taylor]: Taking taylor expansion of K in K 2.375 * [backup-simplify]: Simplify 0 into 0 2.375 * [backup-simplify]: Simplify 1 into 1 2.375 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.375 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.375 * [taylor]: Taking taylor expansion of U in K 2.375 * [backup-simplify]: Simplify U into U 2.375 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 2.375 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 2.375 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 2.375 * [taylor]: Taking taylor expansion of 1/2 in U 2.375 * [backup-simplify]: Simplify 1/2 into 1/2 2.375 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 2.376 * [taylor]: Taking taylor expansion of J in U 2.376 * [backup-simplify]: Simplify J into J 2.376 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 2.376 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.376 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.376 * [taylor]: Taking taylor expansion of -1/2 in U 2.376 * [backup-simplify]: Simplify -1/2 into -1/2 2.376 * [taylor]: Taking taylor expansion of K in U 2.376 * [backup-simplify]: Simplify K into K 2.376 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.376 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.376 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.376 * [taylor]: Taking taylor expansion of U in U 2.376 * [backup-simplify]: Simplify 0 into 0 2.376 * [backup-simplify]: Simplify 1 into 1 2.376 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.376 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.376 * [backup-simplify]: Simplify (- 0) into 0 2.376 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.376 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 2.377 * [backup-simplify]: Simplify (+ 0) into 0 2.377 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.377 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.377 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.378 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.378 * [backup-simplify]: Simplify (- 0) into 0 2.378 * [backup-simplify]: Simplify (+ 0 0) into 0 2.379 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 2.379 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 2.379 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 2.379 * [taylor]: Taking taylor expansion of 1/2 in U 2.379 * [backup-simplify]: Simplify 1/2 into 1/2 2.379 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 2.379 * [taylor]: Taking taylor expansion of J in U 2.379 * [backup-simplify]: Simplify J into J 2.379 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 2.379 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 2.379 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 2.379 * [taylor]: Taking taylor expansion of -1/2 in U 2.379 * [backup-simplify]: Simplify -1/2 into -1/2 2.379 * [taylor]: Taking taylor expansion of K in U 2.379 * [backup-simplify]: Simplify K into K 2.379 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.379 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.379 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.379 * [taylor]: Taking taylor expansion of U in U 2.379 * [backup-simplify]: Simplify 0 into 0 2.379 * [backup-simplify]: Simplify 1 into 1 2.379 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.379 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.379 * [backup-simplify]: Simplify (- 0) into 0 2.379 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.379 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 2.380 * [backup-simplify]: Simplify (+ 0) into 0 2.380 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.380 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.381 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.381 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.381 * [backup-simplify]: Simplify (- 0) into 0 2.381 * [backup-simplify]: Simplify (+ 0 0) into 0 2.382 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 2.382 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 2.382 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 2.382 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 2.382 * [taylor]: Taking taylor expansion of 1/2 in K 2.382 * [backup-simplify]: Simplify 1/2 into 1/2 2.382 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 2.382 * [taylor]: Taking taylor expansion of J in K 2.382 * [backup-simplify]: Simplify J into J 2.382 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 2.382 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 2.382 * [taylor]: Taking taylor expansion of -1/2 in K 2.382 * [backup-simplify]: Simplify -1/2 into -1/2 2.382 * [taylor]: Taking taylor expansion of K in K 2.382 * [backup-simplify]: Simplify 0 into 0 2.382 * [backup-simplify]: Simplify 1 into 1 2.382 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.383 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.383 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 2.383 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 2.383 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 2.383 * [taylor]: Taking taylor expansion of 1/2 in J 2.383 * [backup-simplify]: Simplify 1/2 into 1/2 2.383 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 2.383 * [taylor]: Taking taylor expansion of J in J 2.383 * [backup-simplify]: Simplify 0 into 0 2.383 * [backup-simplify]: Simplify 1 into 1 2.383 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 2.383 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 2.383 * [taylor]: Taking taylor expansion of -1/2 in J 2.383 * [backup-simplify]: Simplify -1/2 into -1/2 2.383 * [taylor]: Taking taylor expansion of K in J 2.383 * [backup-simplify]: Simplify K into K 2.383 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 2.383 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 2.383 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 2.383 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 2.383 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 2.383 * [backup-simplify]: Simplify (- 0) into 0 2.383 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 2.383 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 2.383 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 2.384 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 2.384 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.385 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 2.385 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.385 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.386 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 2.386 * [backup-simplify]: Simplify (- 0) into 0 2.386 * [backup-simplify]: Simplify (+ 0 0) into 0 2.387 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 2.387 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 2.387 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 2.387 * [taylor]: Taking taylor expansion of 0 in K 2.387 * [backup-simplify]: Simplify 0 into 0 2.387 * [taylor]: Taking taylor expansion of 0 in J 2.387 * [backup-simplify]: Simplify 0 into 0 2.387 * [backup-simplify]: Simplify 0 into 0 2.387 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 2.388 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 2.388 * [taylor]: Taking taylor expansion of 0 in J 2.388 * [backup-simplify]: Simplify 0 into 0 2.388 * [backup-simplify]: Simplify 0 into 0 2.388 * [backup-simplify]: Simplify (+ 0) into 0 2.388 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 2.388 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 2.389 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.389 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 2.389 * [backup-simplify]: Simplify (- 0) into 0 2.390 * [backup-simplify]: Simplify (+ 0 0) into 0 2.390 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 2.390 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 2.390 * [backup-simplify]: Simplify 0 into 0 2.391 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.391 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.391 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 2.392 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.393 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.393 * [backup-simplify]: Simplify (- 0) into 0 2.393 * [backup-simplify]: Simplify (+ 0 0) into 0 2.394 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.394 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 2.394 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 2.394 * [taylor]: Taking taylor expansion of 0 in K 2.394 * [backup-simplify]: Simplify 0 into 0 2.394 * [taylor]: Taking taylor expansion of 0 in J 2.394 * [backup-simplify]: Simplify 0 into 0 2.394 * [backup-simplify]: Simplify 0 into 0 2.394 * [taylor]: Taking taylor expansion of 0 in J 2.394 * [backup-simplify]: Simplify 0 into 0 2.394 * [backup-simplify]: Simplify 0 into 0 2.395 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 2.395 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 2.395 * [taylor]: Taking taylor expansion of 0 in J 2.395 * [backup-simplify]: Simplify 0 into 0 2.395 * [backup-simplify]: Simplify 0 into 0 2.395 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2.395 * * * [progress]: simplifying candidates 2.395 * * * * [progress]: [ 1 / 150 ] simplifiying candidate # 2.396 * * * * [progress]: [ 2 / 150 ] simplifiying candidate # 2.396 * * * * [progress]: [ 3 / 150 ] simplifiying candidate # 2.396 * * * * [progress]: [ 4 / 150 ] simplifiying candidate # 2.396 * * * * [progress]: [ 5 / 150 ] simplifiying candidate # 2.396 * * * * [progress]: [ 6 / 150 ] simplifiying candidate # 2.396 * * * * [progress]: [ 7 / 150 ] simplifiying candidate # 2.396 * * * * [progress]: [ 8 / 150 ] simplifiying candidate # 2.396 * * * * [progress]: [ 9 / 150 ] simplifiying candidate # 2.396 * * * * [progress]: [ 10 / 150 ] simplifiying candidate # 2.396 * * * * [progress]: [ 11 / 150 ] simplifiying candidate # 2.396 * * * * [progress]: [ 12 / 150 ] simplifiying candidate # 2.396 * * * * [progress]: [ 13 / 150 ] simplifiying candidate # 2.397 * * * * [progress]: [ 14 / 150 ] simplifiying candidate # 2.397 * * * * [progress]: [ 15 / 150 ] simplifiying candidate # 2.397 * * * * [progress]: [ 16 / 150 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))> 2.397 * * * * [progress]: [ 17 / 150 ] simplifiying candidate # 2.397 * * * * [progress]: [ 18 / 150 ] simplifiying candidate # 2.397 * * * * [progress]: [ 19 / 150 ] simplifiying candidate # 2.397 * * * * [progress]: [ 20 / 150 ] simplifiying candidate # 2.397 * * * * [progress]: [ 21 / 150 ] simplifiying candidate # 2.397 * * * * [progress]: [ 22 / 150 ] simplifiying candidate # 2.397 * * * * [progress]: [ 23 / 150 ] simplifiying candidate # 2.397 * * * * [progress]: [ 24 / 150 ] simplifiying candidate # 2.397 * * * * [progress]: [ 25 / 150 ] simplifiying candidate # 2.397 * * * * [progress]: [ 26 / 150 ] simplifiying candidate # 2.398 * * * * [progress]: [ 27 / 150 ] simplifiying candidate # 2.398 * * * * [progress]: [ 28 / 150 ] simplifiying candidate # 2.398 * * * * [progress]: [ 29 / 150 ] simplifiying candidate # 2.398 * * * * [progress]: [ 30 / 150 ] simplifiying candidate # 2.398 * * * * [progress]: [ 31 / 150 ] simplifiying candidate # 2.398 * * * * [progress]: [ 32 / 150 ] simplifiying candidate # 2.398 * * * * [progress]: [ 33 / 150 ] simplifiying candidate # 2.398 * * * * [progress]: [ 34 / 150 ] simplifiying candidate # 2.398 * * * * [progress]: [ 35 / 150 ] simplifiying candidate # 2.398 * * * * [progress]: [ 36 / 150 ] simplifiying candidate # 2.398 * * * * [progress]: [ 37 / 150 ] simplifiying candidate # 2.398 * * * * [progress]: [ 38 / 150 ] simplifiying candidate # 2.399 * * * * [progress]: [ 39 / 150 ] simplifiying candidate # 2.399 * * * * [progress]: [ 40 / 150 ] simplifiying candidate # 2.399 * * * * [progress]: [ 41 / 150 ] simplifiying candidate # 2.399 * * * * [progress]: [ 42 / 150 ] simplifiying candidate #real (real->posit16 (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))> 2.399 * * * * [progress]: [ 43 / 150 ] simplifiying candidate # 2.399 * * * * [progress]: [ 44 / 150 ] simplifiying candidate # 2.399 * * * * [progress]: [ 45 / 150 ] simplifiying candidate # 2.399 * * * * [progress]: [ 46 / 150 ] simplifiying candidate # 2.399 * * * * [progress]: [ 47 / 150 ] simplifiying candidate # 2.399 * * * * [progress]: [ 48 / 150 ] simplifiying candidate # 2.399 * * * * [progress]: [ 49 / 150 ] simplifiying candidate # 2.399 * * * * [progress]: [ 50 / 150 ] simplifiying candidate # 2.400 * * * * [progress]: [ 51 / 150 ] simplifiying candidate # 2.400 * * * * [progress]: [ 52 / 150 ] simplifiying candidate # 2.400 * * * * [progress]: [ 53 / 150 ] simplifiying candidate # 2.400 * * * * [progress]: [ 54 / 150 ] simplifiying candidate # 2.400 * * * * [progress]: [ 55 / 150 ] simplifiying candidate # 2.400 * * * * [progress]: [ 56 / 150 ] simplifiying candidate # 2.400 * * * * [progress]: [ 57 / 150 ] simplifiying candidate # 2.400 * * * * [progress]: [ 58 / 150 ] simplifiying candidate # 2.400 * * * * [progress]: [ 59 / 150 ] simplifiying candidate # 2.400 * * * * [progress]: [ 60 / 150 ] simplifiying candidate # 2.401 * * * * [progress]: [ 61 / 150 ] simplifiying candidate # 2.401 * * * * [progress]: [ 62 / 150 ] simplifiying candidate # 2.401 * * * * [progress]: [ 63 / 150 ] simplifiying candidate # 2.401 * * * * [progress]: [ 64 / 150 ] simplifiying candidate # 2.401 * * * * [progress]: [ 65 / 150 ] simplifiying candidate # 2.401 * * * * [progress]: [ 66 / 150 ] simplifiying candidate # 2.401 * * * * [progress]: [ 67 / 150 ] simplifiying candidate # 2.401 * * * * [progress]: [ 68 / 150 ] simplifiying candidate # 2.401 * * * * [progress]: [ 69 / 150 ] simplifiying candidate # 2.401 * * * * [progress]: [ 70 / 150 ] simplifiying candidate # 2.401 * * * * [progress]: [ 71 / 150 ] simplifiying candidate # 2.401 * * * * [progress]: [ 72 / 150 ] simplifiying candidate # 2.402 * * * * [progress]: [ 73 / 150 ] simplifiying candidate # 2.402 * * * * [progress]: [ 74 / 150 ] simplifiying candidate # 2.402 * * * * [progress]: [ 75 / 150 ] simplifiying candidate # 2.402 * * * * [progress]: [ 76 / 150 ] simplifiying candidate # 2.402 * * * * [progress]: [ 77 / 150 ] simplifiying candidate # 2.402 * * * * [progress]: [ 78 / 150 ] simplifiying candidate # 2.402 * * * * [progress]: [ 79 / 150 ] simplifiying candidate # 2.402 * * * * [progress]: [ 80 / 150 ] simplifiying candidate # 2.402 * * * * [progress]: [ 81 / 150 ] simplifiying candidate # 2.402 * * * * [progress]: [ 82 / 150 ] simplifiying candidate # 2.403 * * * * [progress]: [ 83 / 150 ] simplifiying candidate # 2.403 * * * * [progress]: [ 84 / 150 ] simplifiying candidate # 2.403 * * * * [progress]: [ 85 / 150 ] simplifiying candidate # 2.403 * * * * [progress]: [ 86 / 150 ] simplifiying candidate # 2.403 * * * * [progress]: [ 87 / 150 ] simplifiying candidate # 2.403 * * * * [progress]: [ 88 / 150 ] simplifiying candidate # 2.403 * * * * [progress]: [ 89 / 150 ] simplifiying candidate # 2.403 * * * * [progress]: [ 90 / 150 ] simplifiying candidate # 2.403 * * * * [progress]: [ 91 / 150 ] simplifiying candidate # 2.403 * * * * [progress]: [ 92 / 150 ] simplifiying candidate # 2.403 * * * * [progress]: [ 93 / 150 ] simplifiying candidate # 2.403 * * * * [progress]: [ 94 / 150 ] simplifiying candidate # 2.403 * * * * [progress]: [ 95 / 150 ] simplifiying candidate # 2.404 * * * * [progress]: [ 96 / 150 ] simplifiying candidate # 2.404 * * * * [progress]: [ 97 / 150 ] simplifiying candidate # 2.404 * * * * [progress]: [ 98 / 150 ] simplifiying candidate # 2.404 * * * * [progress]: [ 99 / 150 ] simplifiying candidate # 2.404 * * * * [progress]: [ 100 / 150 ] simplifiying candidate # 2.404 * * * * [progress]: [ 101 / 150 ] simplifiying candidate # 2.404 * * * * [progress]: [ 102 / 150 ] simplifiying candidate # 2.404 * * * * [progress]: [ 103 / 150 ] simplifiying candidate # 2.404 * * * * [progress]: [ 104 / 150 ] simplifiying candidate # 2.404 * * * * [progress]: [ 105 / 150 ] simplifiying candidate # 2.404 * * * * [progress]: [ 106 / 150 ] simplifiying candidate # 2.404 * * * * [progress]: [ 107 / 150 ] simplifiying candidate # 2.404 * * * * [progress]: [ 108 / 150 ] simplifiying candidate # 2.405 * * * * [progress]: [ 109 / 150 ] simplifiying candidate # 2.405 * * * * [progress]: [ 110 / 150 ] simplifiying candidate # 2.405 * * * * [progress]: [ 111 / 150 ] simplifiying candidate # 2.405 * * * * [progress]: [ 112 / 150 ] simplifiying candidate # 2.405 * * * * [progress]: [ 113 / 150 ] simplifiying candidate #real (real->posit16 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) 1))))> 2.405 * * * * [progress]: [ 114 / 150 ] simplifiying candidate # 2.405 * * * * [progress]: [ 115 / 150 ] simplifiying candidate # 2.405 * * * * [progress]: [ 116 / 150 ] simplifiying candidate # 2.405 * * * * [progress]: [ 117 / 150 ] simplifiying candidate # 2.405 * * * * [progress]: [ 118 / 150 ] simplifiying candidate # 2.405 * * * * [progress]: [ 119 / 150 ] simplifiying candidate # 2.405 * * * * [progress]: [ 120 / 150 ] simplifiying candidate # 2.405 * * * * [progress]: [ 121 / 150 ] simplifiying candidate # 2.406 * * * * [progress]: [ 122 / 150 ] simplifiying candidate # 2.406 * * * * [progress]: [ 123 / 150 ] simplifiying candidate # 2.406 * * * * [progress]: [ 124 / 150 ] simplifiying candidate # 2.406 * * * * [progress]: [ 125 / 150 ] simplifiying candidate # 2.406 * * * * [progress]: [ 126 / 150 ] simplifiying candidate # 2.406 * * * * [progress]: [ 127 / 150 ] simplifiying candidate # 2.406 * * * * [progress]: [ 128 / 150 ] simplifiying candidate # 2.406 * * * * [progress]: [ 129 / 150 ] simplifiying candidate # 2.406 * * * * [progress]: [ 130 / 150 ] simplifiying candidate # 2.406 * * * * [progress]: [ 131 / 150 ] simplifiying candidate # 2.406 * * * * [progress]: [ 132 / 150 ] simplifiying candidate # 2.406 * * * * [progress]: [ 133 / 150 ] simplifiying candidate # 2.406 * * * * [progress]: [ 134 / 150 ] simplifiying candidate # 2.407 * * * * [progress]: [ 135 / 150 ] simplifiying candidate # 2.407 * * * * [progress]: [ 136 / 150 ] simplifiying candidate # 2.407 * * * * [progress]: [ 137 / 150 ] simplifiying candidate # 2.407 * * * * [progress]: [ 138 / 150 ] simplifiying candidate #real (real->posit16 (/ U (* (cos (/ K 2)) (* 2 J)))))) 1))))> 2.407 * * * * [progress]: [ 139 / 150 ] simplifiying candidate # 2.407 * * * * [progress]: [ 140 / 150 ] simplifiying candidate # 2.407 * * * * [progress]: [ 141 / 150 ] simplifiying candidate # 2.407 * * * * [progress]: [ 142 / 150 ] simplifiying candidate # 2.407 * * * * [progress]: [ 143 / 150 ] simplifiying candidate # 2.407 * * * * [progress]: [ 144 / 150 ] simplifiying candidate # 2.407 * * * * [progress]: [ 145 / 150 ] simplifiying candidate # 2.407 * * * * [progress]: [ 146 / 150 ] simplifiying candidate # 2.407 * * * * [progress]: [ 147 / 150 ] simplifiying candidate # 2.407 * * * * [progress]: [ 148 / 150 ] simplifiying candidate # 2.407 * * * * [progress]: [ 149 / 150 ] simplifiying candidate # 2.408 * * * * [progress]: [ 150 / 150 ] simplifiying candidate # 2.411 * [simplify]: Simplifying: (log (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (exp (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (* (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (* (* (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (* (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt 1) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (sqrt (+ (pow (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (- (* 1 1) (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (- (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (* 1 1))) (sqrt (- (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (/ 1 2) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (real->posit16 (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (+ (+ (log J) (+ (log -2) (log (cos (/ K 2))))) (log (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (+ (+ (log J) (log (* -2 (cos (/ K 2))))) (log (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (+ (log (* J (* -2 (cos (/ K 2))))) (log (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (log (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (exp (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (* (* (* (* J J) J) (* (* (* -2 -2) -2) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (* (* (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (* (* (* (* J J) J) (* (* (* -2 (cos (/ K 2))) (* -2 (cos (/ K 2)))) (* -2 (cos (/ K 2))))) (* (* (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (* (* (* (* J (* -2 (cos (/ K 2)))) (* J (* -2 (cos (/ K 2))))) (* J (* -2 (cos (/ K 2))))) (* (* (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (* (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (* (* (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) 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U (* (cos (/ K 2)) (* 2 J)))) 1)))) (* (* J (* -2 (cos (/ K 2)))) (sqrt 1)) (* (* J (* -2 (cos (/ K 2)))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (* (* J (* -2 (cos (/ K 2)))) 1) (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (pow (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 3) (pow 1 3)))) (* (* J (* -2 (cos (/ K 2)))) (sqrt (- (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (* 1 1)))) (real->posit16 (* (* J (* -2 (cos (/ K 2)))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (+ 1 1) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (+ 1 1) (+ (- (log U) (+ (log (cos (/ K 2))) (+ (log 2) (log J)))) (- (log U) (+ (log (cos (/ K 2))) (+ (log 2) (log J))))) (+ (- (log U) (+ 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J) (cos (/ K 2)))))) (+ (log (/ U (* (* 2 J) (cos (/ K 2))))) (log (/ U (* (* 2 J) (cos (/ K 2)))))) (+ (log (/ U (* (* 2 J) (cos (/ K 2))))) (log (/ U (* (* 2 J) (cos (/ K 2)))))) (+ (log (/ U (* (* 2 J) (cos (/ K 2))))) (log (/ U (* (* 2 J) (cos (/ K 2)))))) (+ (log (/ U (* (* 2 J) (cos (/ K 2))))) (log (/ U (* (* 2 J) (cos (/ K 2)))))) (+ (log (/ U (* (* 2 J) (cos (/ K 2))))) (log (/ U (* (* 2 J) (cos (/ K 2)))))) (+ (log (/ U (* (* 2 J) (cos (/ K 2))))) (log (/ U (* (* 2 J) (cos (/ K 2)))))) (+ (log (/ U (* (* 2 J) (cos (/ K 2))))) (log (/ U (* (* 2 J) (cos (/ K 2)))))) (exp (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) (* (* (/ U (* (cos (/ K 2)) (cos (/ K 2)))) (/ (* U U) (* (cos (/ K 2)) (* (* 2 (* (* 2 J) (* 2 J))) J)))) (* (/ U (* (cos (/ K 2)) (cos (/ K 2)))) (/ (* U U) (* (cos (/ K 2)) (* (* 2 (* (* 2 J) (* 2 J))) J))))) (* (* (/ (* U U) (* (cos (/ K 2)) (cos (/ K 2)))) (/ U (cos (/ K 2)))) (/ (* (/ (* U U) (* (cos (/ K 2)) (cos (/ K 2)))) (/ U (* (* (cos (/ K 2)) (* (* 2 J) (* 2 J))) (* 2 J)))) (* (* 2 (* (* 2 J) (* 2 J))) J))) (* (/ (* (/ U (* (cos (/ K 2)) (cos (/ K 2)))) (/ (* U U) (* (cos (/ K 2)) (* (* 2 (* (* 2 J) (* 2 J))) J)))) (* (* 2 J) (cos (/ K 2)))) (* (/ (* U U) (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) (* (* (* (/ U (* (cos (/ K 2)) (cos (/ K 2)))) (/ (* U U) (* (cos (/ K 2)) (* (* 2 (* (* 2 J) (* 2 J))) J)))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (* (/ (* U U) (* (cos (/ K 2)) (cos (/ K 2)))) (/ U (cos (/ K 2)))) (/ (* (/ (* U U) (* (cos (/ K 2)) (cos (/ K 2)))) (/ U (* (* (cos (/ K 2)) (* (* 2 J) (* 2 J))) (* 2 J)))) (* (* 2 (* (* 2 J) (* 2 J))) J))) (* (* (/ (* U U) (* (cos (/ K 2)) (cos (/ K 2)))) (/ U (* (* (cos (/ K 2)) (* (* 2 J) (* 2 J))) (* 2 J)))) (* (/ (* U U) (* (cos (/ K 2)) (cos (/ K 2)))) (/ U (* (* (cos (/ K 2)) (* (* 2 J) (* 2 J))) (* 2 J))))) (/ (* (* (* U U) U) (* (/ (* U U) (* (cos (/ K 2)) (cos (/ K 2)))) (/ U (* (* (cos (/ K 2)) (* (* 2 J) (* 2 J))) (* 2 J))))) (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2))))) (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (* (/ (* U U) (* (cos (/ K 2)) (cos (/ K 2)))) (/ U (* (* (cos (/ K 2)) (* (* 2 J) (* 2 J))) (* 2 J)))))) (* (/ (* (/ U (* (cos (/ K 2)) (cos (/ K 2)))) (/ (* U U) (* (cos (/ K 2)) (* (* 2 (* (* 2 J) (* 2 J))) J)))) (* (* 2 J) (cos (/ K 2)))) (* (/ (* U U) (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) (/ (* (* (* U U) U) (* (/ (* U U) (* (cos (/ K 2)) (cos (/ K 2)))) (/ U (* (* (cos (/ K 2)) (* (* 2 J) (* 2 J))) (* 2 J))))) (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2))))) (* (* (/ (* U U) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (/ (* U U) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (/ U (* (* 2 J) (cos (/ K 2)))))) (* (* (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (/ U (* (* 2 J) (cos (/ K 2))))) (/ (* U U) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (* (* (/ U (* (cos (/ K 2)) (cos (/ K 2)))) (/ (* U U) (* (cos (/ K 2)) (* (* 2 (* (* 2 J) (* 2 J))) J)))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (* (/ (* U U) (* (cos (/ K 2)) (cos (/ K 2)))) (/ U (* (* (cos (/ K 2)) (* (* 2 J) (* 2 J))) (* 2 J)))))) (* (* (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (/ U (* (* 2 J) (cos (/ K 2))))) (/ (* U U) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))))) (* (cbrt (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) (cbrt (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))))) (cbrt (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))))) (fabs (/ U (* (* 2 J) (cos (/ K 2))))) (fabs (/ U (* (* 2 J) (cos (/ K 2))))) (* U U) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (* (* (cbrt (/ U (* (* 2 J) (cos (/ K 2))))) (cbrt (/ U (* (* 2 J) (cos (/ K 2)))))) (* (cbrt (/ U (* (* 2 J) (cos (/ K 2))))) (cbrt (/ U (* (* 2 J) (cos (/ K 2))))))) (* (cbrt (/ U (* (* 2 J) (cos (/ K 2))))) (cbrt (/ U (* (* 2 J) (cos (/ K 2)))))) (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))) (* (/ (cbrt U) (/ (cos (/ K 2)) (cbrt U))) (/ (cbrt U) (/ (cos (/ K 2)) (cbrt U)))) (* (/ (cbrt U) (* 2 J)) (/ (cbrt U) (* 2 J))) (* (/ (sqrt U) (cos (/ K 2))) (/ (sqrt U) (cos (/ K 2)))) (* (/ (sqrt U) (* 2 J)) (/ (sqrt U) (* 2 J))) (* (/ 1 (cos (/ K 2))) (/ 1 (cos (/ K 2)))) (* (/ U (* 2 J)) (/ U (* 2 J))) 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (* U U) (* (/ (/ 1 (cos (/ K 2))) (* 2 J)) (/ (/ 1 (cos (/ K 2))) (* 2 J))) (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))) 2 (* (/ U (* (* 2 J) (cos (/ K 2)))) (* (cbrt (/ U (* (* 2 J) (cos (/ K 2))))) (cbrt (/ U (* (* 2 J) (cos (/ K 2))))))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (sqrt (/ U (* (* 2 J) (cos (/ K 2)))))) (* (/ U (* (cos (/ K 2)) 2)) (/ (/ (cbrt U) (/ (cos (/ K 2)) (cbrt U))) J)) (* (/ U (cos (/ K 2))) (/ (/ (sqrt U) (cos (/ K 2))) (* 2 J))) (/ (/ U (* (* 2 J) (cos (/ K 2)))) (cos (/ K 2))) (/ U (* (* 2 J) (cos (/ K 2)))) (/ (* U U) (* (* 2 J) (cos (/ K 2)))) (* (cbrt (/ U (* (* 2 J) (cos (/ K 2))))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (sqrt (/ U (* (* 2 J) (cos (/ K 2)))))) (* (/ (/ (cbrt U) (* 2 J)) (cos (/ K 2))) (/ U (* 2 J))) (* (/ (/ (sqrt U) (* 2 J)) (cos (/ K 2))) (/ U (* 2 J))) (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ U (* 2 J))) (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (/ (/ U (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2)))) (/ (* U U) (* (* 2 J) (cos (/ K 2)))) (/ (* U U) (* (* 2 J) (cos (/ K 2)))) (real->posit16 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))) (log (/ U (* (* 2 J) (cos (/ K 2))))) (log (/ U (* (* 2 J) (cos (/ K 2))))) (log (/ U (* (* 2 J) (cos (/ K 2))))) (log (/ U (* (* 2 J) (cos (/ K 2))))) (exp (/ U (* (* 2 J) (cos (/ K 2))))) (* (/ U (* (cos (/ K 2)) (cos (/ K 2)))) (/ (* U U) (* (cos (/ K 2)) (* (* 2 (* (* 2 J) (* 2 J))) J)))) (* (/ (* U U) (* (cos (/ K 2)) (cos (/ K 2)))) (/ U (* (* (cos (/ K 2)) (* (* 2 J) (* 2 J))) (* 2 J)))) (* (/ (* U U) (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2))))) (/ U (* (* 2 J) (cos (/ K 2))))) (* (cbrt (/ U (* (* 2 J) (cos (/ K 2))))) (cbrt (/ U (* (* 2 J) (cos (/ K 2)))))) (cbrt (/ U (* (* 2 J) (cos (/ K 2))))) (* (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2))))) (/ U (* (* 2 J) (cos (/ K 2))))) (sqrt (/ U (* (* 2 J) (cos (/ K 2))))) (sqrt (/ U (* (* 2 J) (cos (/ K 2))))) (- U) (* (- (* 2 J)) (cos (/ K 2))) (/ (cbrt U) (/ (cos (/ K 2)) (cbrt U))) (/ (cbrt U) (* 2 J)) (/ (sqrt U) (cos (/ K 2))) (/ (sqrt U) (* 2 J)) (/ 1 (cos (/ K 2))) (/ U (* 2 J)) (/ (/ 1 (cos (/ K 2))) (* 2 J)) (/ (cos (/ K 2)) (/ U (* 2 J))) (/ U (cos (/ K 2))) (/ (cos (/ K 2)) (/ (cbrt U) (* 2 J))) (/ (* (* 2 J) (cos (/ K 2))) (sqrt U)) (/ (cos (/ K 2)) (/ U (* 2 J))) (real->posit16 (/ U (* (* 2 J) (cos (/ K 2))))) 1 (/ (* 1/2 U) (* (cos (* K 1/2)) J)) (/ (* 1/2 U) (* (cos (* K 1/2)) J)) 0 (* J (* (cos (* K 1/2)) -2)) (* J (* (cos (* K 1/2)) -2)) (+ (+ (* (/ (* (* U U) (* K K)) (* J J)) 1/16) (* (/ (* U U) (* J J)) 1/4)) (* (/ (* (* K K) (* K K)) (/ (* J J) (* U U))) 1/96)) (* (/ 1/4 (* J J)) (/ (* U U) (* (cos (* K 1/2)) (cos (* K 1/2))))) (* (/ 1/4 (* J J)) (/ (* U U) (* (cos (* K 1/2)) (cos (* K 1/2))))) (+ (/ (* (* 1/16 (* K K)) U) J) (/ (* 1/2 U) J)) (/ (* 1/2 U) (* (cos (* K 1/2)) J)) (/ (* 1/2 U) (* (cos (* K 1/2)) J)) 3.580 * * * [progress]: adding candidates to table 4.365 * * [progress]: iteration 2 / 4 4.365 * * * [progress]: picking best candidate 4.407 * * * * [pick]: Picked # 4.407 * * * [progress]: localizing error 4.462 * * * [progress]: generating rewritten candidates 4.462 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 4.570 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 4.818 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 4.922 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1 2) 4.938 * * * [progress]: generating series expansions 4.938 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 4.938 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 4.938 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0 4.938 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 4.938 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 4.939 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 4.939 * [taylor]: Taking taylor expansion of 1/4 in J 4.939 * [backup-simplify]: Simplify 1/4 into 1/4 4.939 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 4.939 * [taylor]: Taking taylor expansion of (pow U 2) in J 4.939 * [taylor]: Taking taylor expansion of U in J 4.939 * [backup-simplify]: Simplify U into U 4.939 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 4.939 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 4.939 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 4.939 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 4.939 * [taylor]: Taking taylor expansion of 1/2 in J 4.939 * [backup-simplify]: Simplify 1/2 into 1/2 4.939 * [taylor]: Taking taylor expansion of K in J 4.939 * [backup-simplify]: Simplify K into K 4.939 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 4.939 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 4.939 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 4.939 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 4.939 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 4.940 * [backup-simplify]: Simplify (- 0) into 0 4.940 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 4.940 * [taylor]: Taking taylor expansion of (pow J 2) in J 4.940 * [taylor]: Taking taylor expansion of J in J 4.940 * [backup-simplify]: Simplify 0 into 0 4.940 * [backup-simplify]: Simplify 1 into 1 4.940 * [backup-simplify]: Simplify (* U U) into (pow U 2) 4.940 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 4.940 * [backup-simplify]: Simplify (* 1 1) into 1 4.940 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 4.940 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 4.940 * [taylor]: Taking taylor expansion of 1 in J 4.940 * [backup-simplify]: Simplify 1 into 1 4.940 * [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))) 4.941 * [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))) 4.941 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 4.941 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 4.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.941 * [backup-simplify]: Simplify (+ 0) into 0 4.942 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 4.942 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 4.942 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.943 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 4.943 * [backup-simplify]: Simplify (- 0) into 0 4.943 * [backup-simplify]: Simplify (+ 0 0) into 0 4.943 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 4.944 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 4.944 * [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 4.945 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 4.945 * [backup-simplify]: Simplify (+ 0 0) into 0 4.945 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 4.946 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 4.946 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 4.946 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 4.946 * [taylor]: Taking taylor expansion of 1/4 in K 4.946 * [backup-simplify]: Simplify 1/4 into 1/4 4.946 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 4.946 * [taylor]: Taking taylor expansion of (pow U 2) in K 4.946 * [taylor]: Taking taylor expansion of U in K 4.946 * [backup-simplify]: Simplify U into U 4.946 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 4.946 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 4.946 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 4.946 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 4.946 * [taylor]: Taking taylor expansion of 1/2 in K 4.946 * [backup-simplify]: Simplify 1/2 into 1/2 4.946 * [taylor]: Taking taylor expansion of K in K 4.946 * [backup-simplify]: Simplify 0 into 0 4.946 * [backup-simplify]: Simplify 1 into 1 4.946 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.947 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.947 * [taylor]: Taking taylor expansion of (pow J 2) in K 4.947 * [taylor]: Taking taylor expansion of J in K 4.947 * [backup-simplify]: Simplify J into J 4.947 * [backup-simplify]: Simplify (* U U) into (pow U 2) 4.948 * [backup-simplify]: Simplify (* 1 1) into 1 4.948 * [backup-simplify]: Simplify (* J J) into (pow J 2) 4.948 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 4.948 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 4.948 * [taylor]: Taking taylor expansion of 1 in K 4.948 * [backup-simplify]: Simplify 1 into 1 4.948 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 4.948 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 4.949 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 4.949 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 4.949 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 4.949 * [backup-simplify]: Simplify (+ 0) into 0 4.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 4.951 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 4.951 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 4.952 * [backup-simplify]: Simplify (+ 0 0) into 0 4.952 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 4.952 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 4.952 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 4.952 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 4.952 * [taylor]: Taking taylor expansion of 1/4 in U 4.952 * [backup-simplify]: Simplify 1/4 into 1/4 4.952 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 4.952 * [taylor]: Taking taylor expansion of (pow U 2) in U 4.952 * [taylor]: Taking taylor expansion of U in U 4.952 * [backup-simplify]: Simplify 0 into 0 4.952 * [backup-simplify]: Simplify 1 into 1 4.952 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 4.952 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 4.952 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 4.952 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 4.952 * [taylor]: Taking taylor expansion of 1/2 in U 4.952 * [backup-simplify]: Simplify 1/2 into 1/2 4.953 * [taylor]: Taking taylor expansion of K in U 4.953 * [backup-simplify]: Simplify K into K 4.953 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 4.953 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 4.953 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 4.953 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 4.953 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 4.953 * [backup-simplify]: Simplify (- 0) into 0 4.953 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 4.953 * [taylor]: Taking taylor expansion of (pow J 2) in U 4.954 * [taylor]: Taking taylor expansion of J in U 4.954 * [backup-simplify]: Simplify J into J 4.954 * [backup-simplify]: Simplify (* 1 1) into 1 4.954 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 4.954 * [backup-simplify]: Simplify (* J J) into (pow J 2) 4.954 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 4.955 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 4.955 * [taylor]: Taking taylor expansion of 1 in U 4.955 * [backup-simplify]: Simplify 1 into 1 4.955 * [backup-simplify]: Simplify (+ 0 1) into 1 4.955 * [backup-simplify]: Simplify (sqrt 1) into 1 4.956 * [backup-simplify]: Simplify (+ 0 0) into 0 4.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.957 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 4.957 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 4.957 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 4.957 * [taylor]: Taking taylor expansion of 1/4 in U 4.957 * [backup-simplify]: Simplify 1/4 into 1/4 4.957 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 4.957 * [taylor]: Taking taylor expansion of (pow U 2) in U 4.957 * [taylor]: Taking taylor expansion of U in U 4.957 * [backup-simplify]: Simplify 0 into 0 4.957 * [backup-simplify]: Simplify 1 into 1 4.957 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 4.957 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 4.957 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 4.957 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 4.957 * [taylor]: Taking taylor expansion of 1/2 in U 4.957 * [backup-simplify]: Simplify 1/2 into 1/2 4.957 * [taylor]: Taking taylor expansion of K in U 4.957 * [backup-simplify]: Simplify K into K 4.957 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 4.957 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 4.957 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 4.957 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 4.958 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 4.958 * [backup-simplify]: Simplify (- 0) into 0 4.958 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 4.958 * [taylor]: Taking taylor expansion of (pow J 2) in U 4.958 * [taylor]: Taking taylor expansion of J in U 4.958 * [backup-simplify]: Simplify J into J 4.959 * [backup-simplify]: Simplify (* 1 1) into 1 4.959 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 4.959 * [backup-simplify]: Simplify (* J J) into (pow J 2) 4.959 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 4.959 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 4.959 * [taylor]: Taking taylor expansion of 1 in U 4.959 * [backup-simplify]: Simplify 1 into 1 4.960 * [backup-simplify]: Simplify (+ 0 1) into 1 4.960 * [backup-simplify]: Simplify (sqrt 1) into 1 4.960 * [backup-simplify]: Simplify (+ 0 0) into 0 4.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.961 * [taylor]: Taking taylor expansion of 1 in K 4.961 * [backup-simplify]: Simplify 1 into 1 4.961 * [taylor]: Taking taylor expansion of 1 in J 4.961 * [backup-simplify]: Simplify 1 into 1 4.961 * [taylor]: Taking taylor expansion of 0 in K 4.961 * [backup-simplify]: Simplify 0 into 0 4.961 * [taylor]: Taking taylor expansion of 0 in J 4.961 * [backup-simplify]: Simplify 0 into 0 4.961 * [taylor]: Taking taylor expansion of 0 in J 4.961 * [backup-simplify]: Simplify 0 into 0 4.961 * [backup-simplify]: Simplify 1 into 1 4.961 * [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))) 4.961 * [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)))) 4.962 * [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))) 4.962 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 4.962 * [taylor]: Taking taylor expansion of 1/8 in K 4.962 * [backup-simplify]: Simplify 1/8 into 1/8 4.962 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 4.962 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 4.962 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 4.962 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 4.962 * [taylor]: Taking taylor expansion of 1/2 in K 4.962 * [backup-simplify]: Simplify 1/2 into 1/2 4.962 * [taylor]: Taking taylor expansion of K in K 4.962 * [backup-simplify]: Simplify 0 into 0 4.962 * [backup-simplify]: Simplify 1 into 1 4.963 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.963 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.963 * [taylor]: Taking taylor expansion of (pow J 2) in K 4.963 * [taylor]: Taking taylor expansion of J in K 4.963 * [backup-simplify]: Simplify J into J 4.963 * [backup-simplify]: Simplify (* 1 1) into 1 4.963 * [backup-simplify]: Simplify (* J J) into (pow J 2) 4.963 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 4.963 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 4.963 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 4.963 * [taylor]: Taking taylor expansion of 1/8 in J 4.963 * [backup-simplify]: Simplify 1/8 into 1/8 4.963 * [taylor]: Taking taylor expansion of (pow J 2) in J 4.963 * [taylor]: Taking taylor expansion of J in J 4.963 * [backup-simplify]: Simplify 0 into 0 4.964 * [backup-simplify]: Simplify 1 into 1 4.964 * [backup-simplify]: Simplify (* 1 1) into 1 4.964 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 4.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 4.965 * [backup-simplify]: Simplify 0 into 0 4.965 * [taylor]: Taking taylor expansion of 0 in J 4.965 * [backup-simplify]: Simplify 0 into 0 4.965 * [taylor]: Taking taylor expansion of 0 in J 4.965 * [backup-simplify]: Simplify 0 into 0 4.965 * [backup-simplify]: Simplify 0 into 0 4.965 * [backup-simplify]: Simplify 0 into 0 4.965 * [backup-simplify]: Simplify 0 into 0 4.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.966 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 4.966 * [backup-simplify]: Simplify (+ 0) into 0 4.966 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 4.966 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 4.967 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.967 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 4.967 * [backup-simplify]: Simplify (- 0) into 0 4.968 * [backup-simplify]: Simplify (+ 0 0) into 0 4.968 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 4.968 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 4.968 * [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 4.969 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 4.969 * [backup-simplify]: Simplify (+ 0 0) into 0 4.969 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 4.969 * [taylor]: Taking taylor expansion of 0 in K 4.969 * [backup-simplify]: Simplify 0 into 0 4.969 * [taylor]: Taking taylor expansion of 0 in J 4.969 * [backup-simplify]: Simplify 0 into 0 4.969 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 4.970 * [backup-simplify]: Simplify (+ 0) into 0 4.970 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.970 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 4.970 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 4.970 * [taylor]: Taking taylor expansion of 0 in J 4.970 * [backup-simplify]: Simplify 0 into 0 4.971 * [taylor]: Taking taylor expansion of 0 in J 4.971 * [backup-simplify]: Simplify 0 into 0 4.971 * [taylor]: Taking taylor expansion of 0 in J 4.971 * [backup-simplify]: Simplify 0 into 0 4.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.972 * [backup-simplify]: Simplify 0 into 0 4.972 * [backup-simplify]: Simplify 0 into 0 4.972 * [backup-simplify]: Simplify 1 into 1 4.972 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J)))) (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 4.972 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0 4.972 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 4.972 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 4.972 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 4.972 * [taylor]: Taking taylor expansion of 1/4 in J 4.972 * [backup-simplify]: Simplify 1/4 into 1/4 4.972 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 4.972 * [taylor]: Taking taylor expansion of (pow J 2) in J 4.972 * [taylor]: Taking taylor expansion of J in J 4.972 * [backup-simplify]: Simplify 0 into 0 4.972 * [backup-simplify]: Simplify 1 into 1 4.972 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 4.972 * [taylor]: Taking taylor expansion of (pow U 2) in J 4.972 * [taylor]: Taking taylor expansion of U in J 4.972 * [backup-simplify]: Simplify U into U 4.972 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 4.972 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 4.972 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 4.972 * [taylor]: Taking taylor expansion of 1/2 in J 4.972 * [backup-simplify]: Simplify 1/2 into 1/2 4.972 * [taylor]: Taking taylor expansion of K in J 4.972 * [backup-simplify]: Simplify K into K 4.973 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 4.973 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 4.973 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 4.973 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 4.973 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 4.973 * [backup-simplify]: Simplify (- 0) into 0 4.973 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 4.973 * [backup-simplify]: Simplify (* 1 1) into 1 4.973 * [backup-simplify]: Simplify (* U U) into (pow U 2) 4.973 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 4.973 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 4.974 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 4.974 * [taylor]: Taking taylor expansion of 1 in J 4.974 * [backup-simplify]: Simplify 1 into 1 4.974 * [backup-simplify]: Simplify (+ 0 1) into 1 4.974 * [backup-simplify]: Simplify (sqrt 1) into 1 4.974 * [backup-simplify]: Simplify (+ 0 0) into 0 4.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.975 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 4.975 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 4.975 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 4.975 * [taylor]: Taking taylor expansion of 1/4 in K 4.975 * [backup-simplify]: Simplify 1/4 into 1/4 4.975 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 4.975 * [taylor]: Taking taylor expansion of (pow J 2) in K 4.975 * [taylor]: Taking taylor expansion of J in K 4.975 * [backup-simplify]: Simplify J into J 4.975 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 4.975 * [taylor]: Taking taylor expansion of (pow U 2) in K 4.975 * [taylor]: Taking taylor expansion of U in K 4.975 * [backup-simplify]: Simplify U into U 4.975 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 4.975 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 4.975 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 4.975 * [taylor]: Taking taylor expansion of 1/2 in K 4.975 * [backup-simplify]: Simplify 1/2 into 1/2 4.975 * [taylor]: Taking taylor expansion of K in K 4.975 * [backup-simplify]: Simplify 0 into 0 4.975 * [backup-simplify]: Simplify 1 into 1 4.975 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.976 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 4.976 * [backup-simplify]: Simplify (* J J) into (pow J 2) 4.976 * [backup-simplify]: Simplify (* U U) into (pow U 2) 4.976 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 4.976 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 4.976 * [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))) 4.976 * [taylor]: Taking taylor expansion of 1 in K 4.976 * [backup-simplify]: Simplify 1 into 1 4.976 * [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)))) 4.976 * [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) 4.976 * [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)) 4.977 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 4.977 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 4.977 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 4.977 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 4.977 * [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 4.978 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 4.978 * [backup-simplify]: Simplify (+ 0 0) into 0 4.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 4.978 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 4.978 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 4.978 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 4.978 * [taylor]: Taking taylor expansion of 1/4 in U 4.978 * [backup-simplify]: Simplify 1/4 into 1/4 4.978 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 4.978 * [taylor]: Taking taylor expansion of (pow J 2) in U 4.978 * [taylor]: Taking taylor expansion of J in U 4.978 * [backup-simplify]: Simplify J into J 4.978 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 4.978 * [taylor]: Taking taylor expansion of (pow U 2) in U 4.978 * [taylor]: Taking taylor expansion of U in U 4.978 * [backup-simplify]: Simplify 0 into 0 4.978 * [backup-simplify]: Simplify 1 into 1 4.978 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 4.978 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 4.978 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 4.978 * [taylor]: Taking taylor expansion of 1/2 in U 4.978 * [backup-simplify]: Simplify 1/2 into 1/2 4.978 * [taylor]: Taking taylor expansion of K in U 4.978 * [backup-simplify]: Simplify K into K 4.978 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 4.978 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 4.979 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 4.979 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 4.979 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 4.979 * [backup-simplify]: Simplify (- 0) into 0 4.979 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 4.979 * [backup-simplify]: Simplify (* J J) into (pow J 2) 4.979 * [backup-simplify]: Simplify (* 1 1) into 1 4.979 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 4.979 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 4.979 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 4.979 * [taylor]: Taking taylor expansion of 1 in U 4.979 * [backup-simplify]: Simplify 1 into 1 4.980 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 4.980 * [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))) 4.980 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 4.980 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 4.980 * [backup-simplify]: Simplify (+ 0) into 0 4.981 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 4.981 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 4.981 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.981 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 4.982 * [backup-simplify]: Simplify (- 0) into 0 4.982 * [backup-simplify]: Simplify (+ 0 0) into 0 4.982 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 4.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 4.983 * [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))))) into 0 4.983 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 4.983 * [backup-simplify]: Simplify (+ 0 0) into 0 4.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 4.984 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 4.984 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 4.984 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 4.984 * [taylor]: Taking taylor expansion of 1/4 in U 4.984 * [backup-simplify]: Simplify 1/4 into 1/4 4.984 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 4.984 * [taylor]: Taking taylor expansion of (pow J 2) in U 4.984 * [taylor]: Taking taylor expansion of J in U 4.984 * [backup-simplify]: Simplify J into J 4.984 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 4.984 * [taylor]: Taking taylor expansion of (pow U 2) in U 4.984 * [taylor]: Taking taylor expansion of U in U 4.984 * [backup-simplify]: Simplify 0 into 0 4.984 * [backup-simplify]: Simplify 1 into 1 4.984 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 4.984 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 4.984 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 4.984 * [taylor]: Taking taylor expansion of 1/2 in U 4.984 * [backup-simplify]: Simplify 1/2 into 1/2 4.984 * [taylor]: Taking taylor expansion of K in U 4.984 * [backup-simplify]: Simplify K into K 4.984 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 4.984 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 4.984 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 4.984 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 4.984 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 4.984 * [backup-simplify]: Simplify (- 0) into 0 4.985 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 4.985 * [backup-simplify]: Simplify (* J J) into (pow J 2) 4.985 * [backup-simplify]: Simplify (* 1 1) into 1 4.985 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 4.985 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 4.985 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 4.985 * [taylor]: Taking taylor expansion of 1 in U 4.985 * [backup-simplify]: Simplify 1 into 1 4.985 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 4.985 * [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))) 4.986 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 4.986 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 4.986 * [backup-simplify]: Simplify (+ 0) into 0 4.986 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 4.986 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 4.987 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.987 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 4.987 * [backup-simplify]: Simplify (- 0) into 0 4.988 * [backup-simplify]: Simplify (+ 0 0) into 0 4.988 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 4.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 4.989 * [backup-simplify]: 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 4.990 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 4.991 * [backup-simplify]: Simplify (+ 0 0) into 0 4.991 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 4.991 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 4.991 * [taylor]: Taking taylor expansion of 1/2 in K 4.991 * [backup-simplify]: Simplify 1/2 into 1/2 4.991 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 4.991 * [taylor]: Taking taylor expansion of J in K 4.991 * [backup-simplify]: Simplify J into J 4.991 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 4.991 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 4.991 * [taylor]: Taking taylor expansion of 1/2 in K 4.991 * [backup-simplify]: Simplify 1/2 into 1/2 4.991 * [taylor]: Taking taylor expansion of K in K 4.991 * [backup-simplify]: Simplify 0 into 0 4.991 * [backup-simplify]: Simplify 1 into 1 4.992 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.992 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 4.992 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 4.992 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 4.992 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 4.992 * [taylor]: Taking taylor expansion of 1/2 in J 4.992 * [backup-simplify]: Simplify 1/2 into 1/2 4.992 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 4.992 * [taylor]: Taking taylor expansion of J in J 4.992 * [backup-simplify]: Simplify 0 into 0 4.992 * [backup-simplify]: Simplify 1 into 1 4.992 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 4.992 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 4.992 * [taylor]: Taking taylor expansion of 1/2 in J 4.992 * [backup-simplify]: Simplify 1/2 into 1/2 4.992 * [taylor]: Taking taylor expansion of K in J 4.992 * [backup-simplify]: Simplify K into K 4.993 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 4.993 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 4.993 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 4.993 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 4.993 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 4.993 * [backup-simplify]: Simplify (- 0) into 0 4.993 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 4.994 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 4.994 * [taylor]: Taking taylor expansion of 0 in K 4.994 * [backup-simplify]: Simplify 0 into 0 4.994 * [taylor]: Taking taylor expansion of 0 in J 4.994 * [backup-simplify]: Simplify 0 into 0 4.994 * [backup-simplify]: Simplify 0 into 0 4.994 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 4.995 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 4.995 * [taylor]: Taking taylor expansion of 0 in J 4.995 * [backup-simplify]: Simplify 0 into 0 4.995 * [backup-simplify]: Simplify 0 into 0 4.995 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 4.995 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 4.995 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 4.996 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.997 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 4.997 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 4.998 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.999 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 4.999 * [backup-simplify]: Simplify (- 0) into 0 5.000 * [backup-simplify]: Simplify (+ 0 0) into 0 5.000 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 5.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 5.003 * [backup-simplify]: 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 5.004 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 5.004 * [backup-simplify]: Simplify (+ 0 1) into 1 5.005 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 5.005 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 5.005 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 5.005 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 5.005 * [taylor]: Taking taylor expansion of 1/2 in K 5.005 * [backup-simplify]: Simplify 1/2 into 1/2 5.005 * [taylor]: Taking taylor expansion of K in K 5.005 * [backup-simplify]: Simplify 0 into 0 5.005 * [backup-simplify]: Simplify 1 into 1 5.006 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.006 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.006 * [taylor]: Taking taylor expansion of J in K 5.006 * [backup-simplify]: Simplify J into J 5.006 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 5.006 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 5.006 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 5.006 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 5.006 * [taylor]: Taking taylor expansion of 1/2 in J 5.006 * [backup-simplify]: Simplify 1/2 into 1/2 5.006 * [taylor]: Taking taylor expansion of K in J 5.006 * [backup-simplify]: Simplify K into K 5.006 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.006 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.006 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.006 * [taylor]: Taking taylor expansion of J in J 5.006 * [backup-simplify]: Simplify 0 into 0 5.006 * [backup-simplify]: Simplify 1 into 1 5.006 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.007 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.007 * [backup-simplify]: Simplify (- 0) into 0 5.007 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.007 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.008 * [backup-simplify]: Simplify (+ 0) into 0 5.013 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 5.013 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 5.014 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.015 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 5.015 * [backup-simplify]: Simplify (- 0) into 0 5.016 * [backup-simplify]: Simplify (+ 0 0) into 0 5.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 5.017 * [backup-simplify]: Simplify 0 into 0 5.017 * [taylor]: Taking taylor expansion of 0 in J 5.017 * [backup-simplify]: Simplify 0 into 0 5.017 * [backup-simplify]: Simplify 0 into 0 5.017 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 5.018 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 5.018 * [taylor]: Taking taylor expansion of 0 in J 5.018 * [backup-simplify]: Simplify 0 into 0 5.018 * [backup-simplify]: Simplify 0 into 0 5.018 * [backup-simplify]: Simplify 0 into 0 5.018 * [backup-simplify]: Simplify 0 into 0 5.019 * [backup-simplify]: Simplify (+ 0) into 0 5.019 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 5.019 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 5.020 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.021 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 5.021 * [backup-simplify]: Simplify (- 0) into 0 5.021 * [backup-simplify]: Simplify (+ 0 0) into 0 5.022 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 5.022 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 5.022 * [backup-simplify]: Simplify 0 into 0 5.022 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 5.023 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J))))) (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 5.023 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0 5.023 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 5.023 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 5.023 * [taylor]: Taking taylor expansion of 1 in J 5.023 * [backup-simplify]: Simplify 1 into 1 5.023 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 5.023 * [taylor]: Taking taylor expansion of 1/4 in J 5.023 * [backup-simplify]: Simplify 1/4 into 1/4 5.023 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 5.023 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.023 * [taylor]: Taking taylor expansion of J in J 5.023 * [backup-simplify]: Simplify 0 into 0 5.023 * [backup-simplify]: Simplify 1 into 1 5.023 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 5.023 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 5.023 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 5.023 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 5.023 * [taylor]: Taking taylor expansion of -1/2 in J 5.023 * [backup-simplify]: Simplify -1/2 into -1/2 5.023 * [taylor]: Taking taylor expansion of K in J 5.023 * [backup-simplify]: Simplify K into K 5.023 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.024 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.024 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.024 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.024 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.024 * [backup-simplify]: Simplify (- 0) into 0 5.024 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.024 * [taylor]: Taking taylor expansion of (pow U 2) in J 5.024 * [taylor]: Taking taylor expansion of U in J 5.024 * [backup-simplify]: Simplify U into U 5.025 * [backup-simplify]: Simplify (* 1 1) into 1 5.025 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 5.025 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.025 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 5.025 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 5.026 * [backup-simplify]: Simplify (+ 1 0) into 1 5.026 * [backup-simplify]: Simplify (sqrt 1) into 1 5.026 * [backup-simplify]: Simplify (+ 0 0) into 0 5.027 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.027 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 5.027 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 5.027 * [taylor]: Taking taylor expansion of 1 in K 5.027 * [backup-simplify]: Simplify 1 into 1 5.027 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 5.027 * [taylor]: Taking taylor expansion of 1/4 in K 5.027 * [backup-simplify]: Simplify 1/4 into 1/4 5.027 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 5.027 * [taylor]: Taking taylor expansion of (pow J 2) in K 5.027 * [taylor]: Taking taylor expansion of J in K 5.027 * [backup-simplify]: Simplify J into J 5.027 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 5.027 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 5.027 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 5.027 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 5.027 * [taylor]: Taking taylor expansion of -1/2 in K 5.027 * [backup-simplify]: Simplify -1/2 into -1/2 5.027 * [taylor]: Taking taylor expansion of K in K 5.027 * [backup-simplify]: Simplify 0 into 0 5.027 * [backup-simplify]: Simplify 1 into 1 5.028 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.028 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.028 * [taylor]: Taking taylor expansion of (pow U 2) in K 5.028 * [taylor]: Taking taylor expansion of U in K 5.028 * [backup-simplify]: Simplify U into U 5.028 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.028 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 5.028 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.028 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 5.029 * [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))) 5.029 * [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)))) 5.029 * [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))))) 5.030 * [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)))))) 5.030 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.030 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 5.030 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 5.030 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 5.031 * [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 5.031 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 5.032 * [backup-simplify]: Simplify (+ 0 0) into 0 5.032 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 5.032 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 5.032 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 5.032 * [taylor]: Taking taylor expansion of 1 in U 5.032 * [backup-simplify]: Simplify 1 into 1 5.032 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 5.032 * [taylor]: Taking taylor expansion of 1/4 in U 5.032 * [backup-simplify]: Simplify 1/4 into 1/4 5.032 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 5.032 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.032 * [taylor]: Taking taylor expansion of J in U 5.032 * [backup-simplify]: Simplify J into J 5.032 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 5.033 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 5.033 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 5.033 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 5.033 * [taylor]: Taking taylor expansion of -1/2 in U 5.033 * [backup-simplify]: Simplify -1/2 into -1/2 5.033 * [taylor]: Taking taylor expansion of K in U 5.033 * [backup-simplify]: Simplify K into K 5.033 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.033 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.033 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.033 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.033 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.033 * [backup-simplify]: Simplify (- 0) into 0 5.033 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.033 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.034 * [taylor]: Taking taylor expansion of U in U 5.034 * [backup-simplify]: Simplify 0 into 0 5.034 * [backup-simplify]: Simplify 1 into 1 5.034 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.034 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 5.034 * [backup-simplify]: Simplify (* 1 1) into 1 5.034 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 5.034 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 5.035 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 5.035 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 5.035 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 5.035 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.036 * [backup-simplify]: Simplify (+ 0) into 0 5.037 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 5.037 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 5.038 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.038 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 5.039 * [backup-simplify]: Simplify (- 0) into 0 5.039 * [backup-simplify]: Simplify (+ 0 0) into 0 5.039 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 5.040 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 5.040 * [backup-simplify]: 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 5.041 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 5.041 * [backup-simplify]: Simplify (+ 0 0) into 0 5.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 5.042 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 5.042 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 5.042 * [taylor]: Taking taylor expansion of 1 in U 5.042 * [backup-simplify]: Simplify 1 into 1 5.042 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 5.042 * [taylor]: Taking taylor expansion of 1/4 in U 5.042 * [backup-simplify]: Simplify 1/4 into 1/4 5.042 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 5.042 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.042 * [taylor]: Taking taylor expansion of J in U 5.042 * [backup-simplify]: Simplify J into J 5.042 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 5.042 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 5.042 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 5.042 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 5.042 * [taylor]: Taking taylor expansion of -1/2 in U 5.042 * [backup-simplify]: Simplify -1/2 into -1/2 5.042 * [taylor]: Taking taylor expansion of K in U 5.042 * [backup-simplify]: Simplify K into K 5.042 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.042 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.043 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.043 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.043 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.043 * [backup-simplify]: Simplify (- 0) into 0 5.043 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.043 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.043 * [taylor]: Taking taylor expansion of U in U 5.043 * [backup-simplify]: Simplify 0 into 0 5.043 * [backup-simplify]: Simplify 1 into 1 5.043 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.043 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 5.044 * [backup-simplify]: Simplify (* 1 1) into 1 5.044 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 5.044 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 5.044 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 5.045 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 5.045 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 5.045 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.046 * [backup-simplify]: Simplify (+ 0) into 0 5.047 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 5.047 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 5.047 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.048 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 5.048 * [backup-simplify]: Simplify (- 0) into 0 5.049 * [backup-simplify]: Simplify (+ 0 0) into 0 5.049 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 5.049 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 5.050 * [backup-simplify]: 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 5.050 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 5.051 * [backup-simplify]: Simplify (+ 0 0) into 0 5.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 5.051 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 5.051 * [taylor]: Taking taylor expansion of 1/2 in K 5.051 * [backup-simplify]: Simplify 1/2 into 1/2 5.051 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 5.051 * [taylor]: Taking taylor expansion of J in K 5.051 * [backup-simplify]: Simplify J into J 5.051 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 5.051 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 5.051 * [taylor]: Taking taylor expansion of -1/2 in K 5.051 * [backup-simplify]: Simplify -1/2 into -1/2 5.051 * [taylor]: Taking taylor expansion of K in K 5.051 * [backup-simplify]: Simplify 0 into 0 5.051 * [backup-simplify]: Simplify 1 into 1 5.052 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.052 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.052 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 5.052 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 5.052 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 5.052 * [taylor]: Taking taylor expansion of 1/2 in J 5.052 * [backup-simplify]: Simplify 1/2 into 1/2 5.052 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 5.052 * [taylor]: Taking taylor expansion of J in J 5.052 * [backup-simplify]: Simplify 0 into 0 5.052 * [backup-simplify]: Simplify 1 into 1 5.052 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 5.052 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 5.053 * [taylor]: Taking taylor expansion of -1/2 in J 5.053 * [backup-simplify]: Simplify -1/2 into -1/2 5.053 * [taylor]: Taking taylor expansion of K in J 5.053 * [backup-simplify]: Simplify K into K 5.053 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.053 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.053 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.053 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.053 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.053 * [backup-simplify]: Simplify (- 0) into 0 5.054 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.054 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 5.054 * [taylor]: Taking taylor expansion of 0 in K 5.054 * [backup-simplify]: Simplify 0 into 0 5.054 * [taylor]: Taking taylor expansion of 0 in J 5.054 * [backup-simplify]: Simplify 0 into 0 5.054 * [backup-simplify]: Simplify 0 into 0 5.054 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 5.055 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 5.055 * [taylor]: Taking taylor expansion of 0 in J 5.055 * [backup-simplify]: Simplify 0 into 0 5.055 * [backup-simplify]: Simplify 0 into 0 5.055 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 5.055 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 5.056 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 5.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.058 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.058 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 5.059 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 5.059 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.060 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 5.060 * [backup-simplify]: Simplify (- 0) into 0 5.061 * [backup-simplify]: Simplify (+ 0 0) into 0 5.061 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 5.062 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 5.063 * [backup-simplify]: 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 5.064 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 5.064 * [backup-simplify]: Simplify (+ 1 0) into 1 5.065 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 5.065 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 5.065 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 5.065 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 5.065 * [taylor]: Taking taylor expansion of -1/2 in K 5.065 * [backup-simplify]: Simplify -1/2 into -1/2 5.065 * [taylor]: Taking taylor expansion of K in K 5.065 * [backup-simplify]: Simplify 0 into 0 5.065 * [backup-simplify]: Simplify 1 into 1 5.066 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.066 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.066 * [taylor]: Taking taylor expansion of J in K 5.066 * [backup-simplify]: Simplify J into J 5.066 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 5.066 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 5.066 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 5.066 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 5.066 * [taylor]: Taking taylor expansion of -1/2 in J 5.066 * [backup-simplify]: Simplify -1/2 into -1/2 5.066 * [taylor]: Taking taylor expansion of K in J 5.066 * [backup-simplify]: Simplify K into K 5.066 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.066 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.066 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.066 * [taylor]: Taking taylor expansion of J in J 5.066 * [backup-simplify]: Simplify 0 into 0 5.066 * [backup-simplify]: Simplify 1 into 1 5.066 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.067 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.067 * [backup-simplify]: Simplify (- 0) into 0 5.067 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.067 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.068 * [backup-simplify]: Simplify (+ 0) into 0 5.068 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 5.068 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 5.069 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.070 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 5.070 * [backup-simplify]: Simplify (- 0) into 0 5.070 * [backup-simplify]: Simplify (+ 0 0) into 0 5.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 5.071 * [backup-simplify]: Simplify 0 into 0 5.071 * [taylor]: Taking taylor expansion of 0 in J 5.071 * [backup-simplify]: Simplify 0 into 0 5.071 * [backup-simplify]: Simplify 0 into 0 5.072 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 5.073 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 5.073 * [taylor]: Taking taylor expansion of 0 in J 5.073 * [backup-simplify]: Simplify 0 into 0 5.073 * [backup-simplify]: Simplify 0 into 0 5.073 * [backup-simplify]: Simplify 0 into 0 5.073 * [backup-simplify]: Simplify 0 into 0 5.073 * [backup-simplify]: Simplify (+ 0) into 0 5.074 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 5.074 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 5.075 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.076 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 5.076 * [backup-simplify]: Simplify (- 0) into 0 5.077 * [backup-simplify]: Simplify (+ 0 0) into 0 5.077 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 5.078 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 5.078 * [backup-simplify]: Simplify 0 into 0 5.078 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 5.078 * * * * [progress]: [ 2 / 4 ] generating series at (2) 5.079 * [backup-simplify]: Simplify (* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) 5.079 * [approximate]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in (J K U) around 0 5.079 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U 5.079 * [taylor]: Taking taylor expansion of -2 in U 5.079 * [backup-simplify]: Simplify -2 into -2 5.079 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U 5.079 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 5.079 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 5.079 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 5.079 * [taylor]: Taking taylor expansion of 1/2 in U 5.079 * [backup-simplify]: Simplify 1/2 into 1/2 5.079 * [taylor]: Taking taylor expansion of K in U 5.079 * [backup-simplify]: Simplify K into K 5.079 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.079 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.079 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.079 * [taylor]: Taking taylor expansion of J in U 5.079 * [backup-simplify]: Simplify J into J 5.079 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 5.080 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 5.080 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 5.080 * [taylor]: Taking taylor expansion of 1/4 in U 5.080 * [backup-simplify]: Simplify 1/4 into 1/4 5.080 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 5.080 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.080 * [taylor]: Taking taylor expansion of U in U 5.080 * [backup-simplify]: Simplify 0 into 0 5.080 * [backup-simplify]: Simplify 1 into 1 5.080 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 5.080 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 5.080 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 5.080 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 5.080 * [taylor]: Taking taylor expansion of 1/2 in U 5.080 * [backup-simplify]: Simplify 1/2 into 1/2 5.080 * [taylor]: Taking taylor expansion of K in U 5.080 * [backup-simplify]: Simplify K into K 5.080 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.080 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.080 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.080 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.080 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.081 * [backup-simplify]: Simplify (- 0) into 0 5.081 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.081 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.081 * [taylor]: Taking taylor expansion of J in U 5.081 * [backup-simplify]: Simplify J into J 5.081 * [backup-simplify]: Simplify (* 1 1) into 1 5.082 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 5.082 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.082 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 5.082 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 5.082 * [taylor]: Taking taylor expansion of 1 in U 5.082 * [backup-simplify]: Simplify 1 into 1 5.082 * [backup-simplify]: Simplify (+ 0 1) into 1 5.083 * [backup-simplify]: Simplify (sqrt 1) into 1 5.083 * [backup-simplify]: Simplify (+ 0 0) into 0 5.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.084 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K 5.084 * [taylor]: Taking taylor expansion of -2 in K 5.084 * [backup-simplify]: Simplify -2 into -2 5.084 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K 5.084 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 5.084 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 5.084 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 5.084 * [taylor]: Taking taylor expansion of 1/2 in K 5.084 * [backup-simplify]: Simplify 1/2 into 1/2 5.084 * [taylor]: Taking taylor expansion of K in K 5.084 * [backup-simplify]: Simplify 0 into 0 5.084 * [backup-simplify]: Simplify 1 into 1 5.084 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.085 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.085 * [taylor]: Taking taylor expansion of J in K 5.085 * [backup-simplify]: Simplify J into J 5.085 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 5.085 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 5.085 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 5.085 * [taylor]: Taking taylor expansion of 1/4 in K 5.085 * [backup-simplify]: Simplify 1/4 into 1/4 5.085 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 5.085 * [taylor]: Taking taylor expansion of (pow U 2) in K 5.085 * [taylor]: Taking taylor expansion of U in K 5.085 * [backup-simplify]: Simplify U into U 5.085 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 5.085 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 5.085 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 5.085 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 5.085 * [taylor]: Taking taylor expansion of 1/2 in K 5.085 * [backup-simplify]: Simplify 1/2 into 1/2 5.085 * [taylor]: Taking taylor expansion of K in K 5.085 * [backup-simplify]: Simplify 0 into 0 5.085 * [backup-simplify]: Simplify 1 into 1 5.085 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.086 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.086 * [taylor]: Taking taylor expansion of (pow J 2) in K 5.086 * [taylor]: Taking taylor expansion of J in K 5.086 * [backup-simplify]: Simplify J into J 5.086 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.086 * [backup-simplify]: Simplify (* 1 1) into 1 5.086 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.086 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 5.086 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 5.086 * [taylor]: Taking taylor expansion of 1 in K 5.086 * [backup-simplify]: Simplify 1 into 1 5.086 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 5.087 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 5.087 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 5.087 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 5.087 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.087 * [backup-simplify]: Simplify (+ 0) into 0 5.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 5.088 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 5.088 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 5.089 * [backup-simplify]: Simplify (+ 0 0) into 0 5.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 5.089 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 5.089 * [taylor]: Taking taylor expansion of -2 in J 5.089 * [backup-simplify]: Simplify -2 into -2 5.089 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 5.089 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 5.089 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 5.089 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 5.089 * [taylor]: Taking taylor expansion of 1/2 in J 5.089 * [backup-simplify]: Simplify 1/2 into 1/2 5.089 * [taylor]: Taking taylor expansion of K in J 5.089 * [backup-simplify]: Simplify K into K 5.089 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.089 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.089 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.089 * [taylor]: Taking taylor expansion of J in J 5.089 * [backup-simplify]: Simplify 0 into 0 5.089 * [backup-simplify]: Simplify 1 into 1 5.089 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 5.089 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 5.089 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 5.089 * [taylor]: Taking taylor expansion of 1/4 in J 5.089 * [backup-simplify]: Simplify 1/4 into 1/4 5.089 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 5.089 * [taylor]: Taking taylor expansion of (pow U 2) in J 5.089 * [taylor]: Taking taylor expansion of U in J 5.089 * [backup-simplify]: Simplify U into U 5.089 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 5.089 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 5.089 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 5.089 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 5.089 * [taylor]: Taking taylor expansion of 1/2 in J 5.089 * [backup-simplify]: Simplify 1/2 into 1/2 5.089 * [taylor]: Taking taylor expansion of K in J 5.089 * [backup-simplify]: Simplify K into K 5.089 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.090 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.090 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.090 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.090 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.090 * [backup-simplify]: Simplify (- 0) into 0 5.090 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.090 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.090 * [taylor]: Taking taylor expansion of J in J 5.090 * [backup-simplify]: Simplify 0 into 0 5.090 * [backup-simplify]: Simplify 1 into 1 5.090 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.090 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 5.090 * [backup-simplify]: Simplify (* 1 1) into 1 5.090 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 5.091 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 5.091 * [taylor]: Taking taylor expansion of 1 in J 5.091 * [backup-simplify]: Simplify 1 into 1 5.091 * [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))) 5.091 * [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))) 5.091 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 5.091 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 5.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.092 * [backup-simplify]: Simplify (+ 0) into 0 5.092 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 5.092 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 5.093 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.093 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 5.093 * [backup-simplify]: Simplify (- 0) into 0 5.093 * [backup-simplify]: Simplify (+ 0 0) into 0 5.094 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 5.094 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 5.094 * [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 5.094 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 5.095 * [backup-simplify]: Simplify (+ 0 0) into 0 5.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 5.095 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J 5.095 * [taylor]: Taking taylor expansion of -2 in J 5.095 * [backup-simplify]: Simplify -2 into -2 5.095 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J 5.095 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 5.095 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 5.095 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 5.095 * [taylor]: Taking taylor expansion of 1/2 in J 5.095 * [backup-simplify]: Simplify 1/2 into 1/2 5.095 * [taylor]: Taking taylor expansion of K in J 5.095 * [backup-simplify]: Simplify K into K 5.095 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.095 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.095 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.095 * [taylor]: Taking taylor expansion of J in J 5.095 * [backup-simplify]: Simplify 0 into 0 5.095 * [backup-simplify]: Simplify 1 into 1 5.095 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 5.095 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 5.095 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 5.095 * [taylor]: Taking taylor expansion of 1/4 in J 5.095 * [backup-simplify]: Simplify 1/4 into 1/4 5.095 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 5.095 * [taylor]: Taking taylor expansion of (pow U 2) in J 5.095 * [taylor]: Taking taylor expansion of U in J 5.095 * [backup-simplify]: Simplify U into U 5.095 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 5.095 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 5.095 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 5.095 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 5.095 * [taylor]: Taking taylor expansion of 1/2 in J 5.095 * [backup-simplify]: Simplify 1/2 into 1/2 5.095 * [taylor]: Taking taylor expansion of K in J 5.096 * [backup-simplify]: Simplify K into K 5.096 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.096 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.096 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.096 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.096 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.096 * [backup-simplify]: Simplify (- 0) into 0 5.096 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.096 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.096 * [taylor]: Taking taylor expansion of J in J 5.096 * [backup-simplify]: Simplify 0 into 0 5.096 * [backup-simplify]: Simplify 1 into 1 5.096 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.096 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 5.096 * [backup-simplify]: Simplify (* 1 1) into 1 5.097 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 5.097 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 5.097 * [taylor]: Taking taylor expansion of 1 in J 5.097 * [backup-simplify]: Simplify 1 into 1 5.097 * [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))) 5.097 * [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))) 5.097 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 5.097 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 5.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.098 * [backup-simplify]: Simplify (+ 0) into 0 5.098 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 5.098 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 5.099 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.099 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 5.099 * [backup-simplify]: Simplify (- 0) into 0 5.100 * [backup-simplify]: Simplify (+ 0 0) into 0 5.100 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 5.100 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 5.100 * [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 5.101 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 5.101 * [backup-simplify]: Simplify (+ 0 0) into 0 5.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 5.101 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.101 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.101 * [backup-simplify]: Simplify (- 0) into 0 5.102 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.102 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 5.102 * [backup-simplify]: Simplify (* 0 (* 1/2 (/ U (cos (* 1/2 K))))) into 0 5.102 * [backup-simplify]: Simplify (* -2 0) into 0 5.102 * [taylor]: Taking taylor expansion of 0 in K 5.102 * [backup-simplify]: Simplify 0 into 0 5.102 * [taylor]: Taking taylor expansion of 0 in U 5.102 * [backup-simplify]: Simplify 0 into 0 5.102 * [backup-simplify]: Simplify 0 into 0 5.102 * [backup-simplify]: Simplify (+ 0) into 0 5.103 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 5.103 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 5.103 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.104 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 5.104 * [backup-simplify]: Simplify (- 0) into 0 5.104 * [backup-simplify]: Simplify (+ 0 0) into 0 5.104 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 5.105 * [backup-simplify]: Simplify (+ (* 0 0) (* (cos (* 1/2 K)) (* 1/2 (/ U (cos (* 1/2 K)))))) into (* 1/2 U) 5.105 * [backup-simplify]: Simplify (+ (* -2 (* 1/2 U)) (* 0 0)) into (- U) 5.105 * [taylor]: Taking taylor expansion of (- U) in K 5.105 * [taylor]: Taking taylor expansion of U in K 5.105 * [backup-simplify]: Simplify U into U 5.105 * [backup-simplify]: Simplify (- U) into (- U) 5.105 * [taylor]: Taking taylor expansion of (- U) in U 5.105 * [taylor]: Taking taylor expansion of U in U 5.105 * [backup-simplify]: Simplify 0 into 0 5.105 * [backup-simplify]: Simplify 1 into 1 5.105 * [backup-simplify]: Simplify (- 0) into 0 5.106 * [backup-simplify]: Simplify 0 into 0 5.106 * [taylor]: Taking taylor expansion of 0 in U 5.106 * [backup-simplify]: Simplify 0 into 0 5.106 * [backup-simplify]: Simplify 0 into 0 5.106 * [backup-simplify]: Simplify 0 into 0 5.106 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (* 0 U))) into 0 5.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.107 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.107 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 5.108 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 5.108 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.109 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 5.109 * [backup-simplify]: Simplify (- 0) into 0 5.109 * [backup-simplify]: Simplify (+ 0 0) into 0 5.110 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 5.110 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 5.110 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 5.111 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into 0 5.111 * [backup-simplify]: Simplify (+ 0 1) into 1 5.112 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into (/ (cos (* 1/2 K)) U) 5.112 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.113 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 5.113 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 5.114 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.114 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 5.114 * [backup-simplify]: Simplify (- 0) into 0 5.115 * [backup-simplify]: Simplify (+ 0 0) into 0 5.115 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 5.115 * [backup-simplify]: Simplify (+ (* 0 (/ (cos (* 1/2 K)) U)) (+ (* (cos (* 1/2 K)) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) into 0 5.116 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/2 U)) (* 0 0))) into 0 5.116 * [taylor]: Taking taylor expansion of 0 in K 5.116 * [backup-simplify]: Simplify 0 into 0 5.116 * [taylor]: Taking taylor expansion of 0 in U 5.116 * [backup-simplify]: Simplify 0 into 0 5.116 * [backup-simplify]: Simplify 0 into 0 5.116 * [backup-simplify]: Simplify (- 0) into 0 5.116 * [taylor]: Taking taylor expansion of 0 in U 5.116 * [backup-simplify]: Simplify 0 into 0 5.116 * [backup-simplify]: Simplify 0 into 0 5.116 * [backup-simplify]: Simplify 0 into 0 5.117 * [backup-simplify]: Simplify (* (/ 1 J) (* (* -2 (cos (/ (/ 1 K) 2))) (sqrt (+ (* (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J)))) (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J))))) 1)))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 5.117 * [approximate]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in (J K U) around 0 5.117 * [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 5.117 * [taylor]: Taking taylor expansion of -2 in U 5.117 * [backup-simplify]: Simplify -2 into -2 5.117 * [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 5.117 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 5.117 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 5.117 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 5.117 * [taylor]: Taking taylor expansion of 1/4 in U 5.117 * [backup-simplify]: Simplify 1/4 into 1/4 5.117 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 5.117 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.117 * [taylor]: Taking taylor expansion of J in U 5.117 * [backup-simplify]: Simplify J into J 5.117 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 5.117 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.117 * [taylor]: Taking taylor expansion of U in U 5.117 * [backup-simplify]: Simplify 0 into 0 5.117 * [backup-simplify]: Simplify 1 into 1 5.117 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 5.117 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 5.117 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 5.117 * [taylor]: Taking taylor expansion of 1/2 in U 5.117 * [backup-simplify]: Simplify 1/2 into 1/2 5.117 * [taylor]: Taking taylor expansion of K in U 5.117 * [backup-simplify]: Simplify K into K 5.117 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.117 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.117 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.117 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.117 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.118 * [backup-simplify]: Simplify (- 0) into 0 5.118 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.118 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.118 * [backup-simplify]: Simplify (* 1 1) into 1 5.118 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 5.118 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 5.118 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 5.118 * [taylor]: Taking taylor expansion of 1 in U 5.118 * [backup-simplify]: Simplify 1 into 1 5.118 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 5.119 * [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))) 5.119 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 5.119 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.119 * [backup-simplify]: Simplify (+ 0) into 0 5.119 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 5.119 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 5.120 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.120 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 5.120 * [backup-simplify]: Simplify (- 0) into 0 5.121 * [backup-simplify]: Simplify (+ 0 0) into 0 5.121 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 5.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 5.122 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 5.122 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 5.122 * [backup-simplify]: Simplify (+ 0 0) into 0 5.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 5.122 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 5.122 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 5.123 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 5.123 * [taylor]: Taking taylor expansion of 1/2 in U 5.123 * [backup-simplify]: Simplify 1/2 into 1/2 5.123 * [taylor]: Taking taylor expansion of K in U 5.123 * [backup-simplify]: Simplify K into K 5.123 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.123 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.123 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.123 * [taylor]: Taking taylor expansion of J in U 5.123 * [backup-simplify]: Simplify J into J 5.123 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.123 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.123 * [backup-simplify]: Simplify (- 0) into 0 5.123 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.123 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 5.123 * [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 5.123 * [taylor]: Taking taylor expansion of -2 in K 5.123 * [backup-simplify]: Simplify -2 into -2 5.123 * [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 5.123 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 5.123 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 5.123 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 5.123 * [taylor]: Taking taylor expansion of 1/4 in K 5.123 * [backup-simplify]: Simplify 1/4 into 1/4 5.123 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 5.123 * [taylor]: Taking taylor expansion of (pow J 2) in K 5.123 * [taylor]: Taking taylor expansion of J in K 5.123 * [backup-simplify]: Simplify J into J 5.123 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 5.123 * [taylor]: Taking taylor expansion of (pow U 2) in K 5.123 * [taylor]: Taking taylor expansion of U in K 5.124 * [backup-simplify]: Simplify U into U 5.124 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 5.124 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 5.124 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 5.124 * [taylor]: Taking taylor expansion of 1/2 in K 5.124 * [backup-simplify]: Simplify 1/2 into 1/2 5.124 * [taylor]: Taking taylor expansion of K in K 5.124 * [backup-simplify]: Simplify 0 into 0 5.124 * [backup-simplify]: Simplify 1 into 1 5.124 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.124 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.124 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.124 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.124 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 5.125 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 5.125 * [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))) 5.125 * [taylor]: Taking taylor expansion of 1 in K 5.125 * [backup-simplify]: Simplify 1 into 1 5.125 * [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)))) 5.126 * [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) 5.126 * [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)) 5.126 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.126 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 5.126 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 5.126 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 5.127 * [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 5.128 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 5.129 * [backup-simplify]: Simplify (+ 0 0) into 0 5.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 5.130 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 5.130 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 5.130 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 5.130 * [taylor]: Taking taylor expansion of 1/2 in K 5.130 * [backup-simplify]: Simplify 1/2 into 1/2 5.130 * [taylor]: Taking taylor expansion of K in K 5.130 * [backup-simplify]: Simplify 0 into 0 5.130 * [backup-simplify]: Simplify 1 into 1 5.131 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.131 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.131 * [taylor]: Taking taylor expansion of J in K 5.131 * [backup-simplify]: Simplify J into J 5.131 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 5.131 * [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 5.131 * [taylor]: Taking taylor expansion of -2 in J 5.131 * [backup-simplify]: Simplify -2 into -2 5.131 * [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 5.131 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 5.131 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 5.131 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 5.131 * [taylor]: Taking taylor expansion of 1/4 in J 5.131 * [backup-simplify]: Simplify 1/4 into 1/4 5.131 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 5.131 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.131 * [taylor]: Taking taylor expansion of J in J 5.131 * [backup-simplify]: Simplify 0 into 0 5.131 * [backup-simplify]: Simplify 1 into 1 5.131 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 5.131 * [taylor]: Taking taylor expansion of (pow U 2) in J 5.131 * [taylor]: Taking taylor expansion of U in J 5.131 * [backup-simplify]: Simplify U into U 5.131 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 5.132 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 5.132 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 5.132 * [taylor]: Taking taylor expansion of 1/2 in J 5.132 * [backup-simplify]: Simplify 1/2 into 1/2 5.132 * [taylor]: Taking taylor expansion of K in J 5.132 * [backup-simplify]: Simplify K into K 5.132 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.132 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.132 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.132 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.132 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.133 * [backup-simplify]: Simplify (- 0) into 0 5.133 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.133 * [backup-simplify]: Simplify (* 1 1) into 1 5.133 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.133 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 5.134 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 5.134 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 5.134 * [taylor]: Taking taylor expansion of 1 in J 5.134 * [backup-simplify]: Simplify 1 into 1 5.134 * [backup-simplify]: Simplify (+ 0 1) into 1 5.135 * [backup-simplify]: Simplify (sqrt 1) into 1 5.135 * [backup-simplify]: Simplify (+ 0 0) into 0 5.136 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.136 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 5.136 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 5.136 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 5.136 * [taylor]: Taking taylor expansion of 1/2 in J 5.136 * [backup-simplify]: Simplify 1/2 into 1/2 5.136 * [taylor]: Taking taylor expansion of K in J 5.136 * [backup-simplify]: Simplify K into K 5.136 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.136 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.136 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.136 * [taylor]: Taking taylor expansion of J in J 5.136 * [backup-simplify]: Simplify 0 into 0 5.136 * [backup-simplify]: Simplify 1 into 1 5.136 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.137 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.137 * [backup-simplify]: Simplify (- 0) into 0 5.137 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.137 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.137 * [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 5.137 * [taylor]: Taking taylor expansion of -2 in J 5.137 * [backup-simplify]: Simplify -2 into -2 5.137 * [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 5.138 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 5.138 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 5.138 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 5.138 * [taylor]: Taking taylor expansion of 1/4 in J 5.138 * [backup-simplify]: Simplify 1/4 into 1/4 5.138 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 5.138 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.138 * [taylor]: Taking taylor expansion of J in J 5.138 * [backup-simplify]: Simplify 0 into 0 5.138 * [backup-simplify]: Simplify 1 into 1 5.138 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 5.138 * [taylor]: Taking taylor expansion of (pow U 2) in J 5.138 * [taylor]: Taking taylor expansion of U in J 5.138 * [backup-simplify]: Simplify U into U 5.138 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 5.138 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 5.138 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 5.138 * [taylor]: Taking taylor expansion of 1/2 in J 5.138 * [backup-simplify]: Simplify 1/2 into 1/2 5.138 * [taylor]: Taking taylor expansion of K in J 5.138 * [backup-simplify]: Simplify K into K 5.138 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.138 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.138 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.138 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.138 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.139 * [backup-simplify]: Simplify (- 0) into 0 5.139 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.139 * [backup-simplify]: Simplify (* 1 1) into 1 5.139 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.140 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 5.140 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 5.140 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 5.140 * [taylor]: Taking taylor expansion of 1 in J 5.140 * [backup-simplify]: Simplify 1 into 1 5.140 * [backup-simplify]: Simplify (+ 0 1) into 1 5.141 * [backup-simplify]: Simplify (sqrt 1) into 1 5.145 * [backup-simplify]: Simplify (+ 0 0) into 0 5.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.146 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 5.146 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 5.146 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 5.146 * [taylor]: Taking taylor expansion of 1/2 in J 5.146 * [backup-simplify]: Simplify 1/2 into 1/2 5.146 * [taylor]: Taking taylor expansion of K in J 5.146 * [backup-simplify]: Simplify K into K 5.146 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.146 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.146 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.146 * [taylor]: Taking taylor expansion of J in J 5.146 * [backup-simplify]: Simplify 0 into 0 5.146 * [backup-simplify]: Simplify 1 into 1 5.146 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.147 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.147 * [backup-simplify]: Simplify (- 0) into 0 5.147 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.147 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.147 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 5.147 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 5.147 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K 5.147 * [taylor]: Taking taylor expansion of -2 in K 5.147 * [backup-simplify]: Simplify -2 into -2 5.147 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 5.148 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 5.148 * [taylor]: Taking taylor expansion of 1/2 in K 5.148 * [backup-simplify]: Simplify 1/2 into 1/2 5.148 * [taylor]: Taking taylor expansion of K in K 5.148 * [backup-simplify]: Simplify 0 into 0 5.148 * [backup-simplify]: Simplify 1 into 1 5.148 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.148 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.148 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 5.148 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in U 5.148 * [taylor]: Taking taylor expansion of -2 in U 5.148 * [backup-simplify]: Simplify -2 into -2 5.148 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 5.148 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 5.148 * [taylor]: Taking taylor expansion of 1/2 in U 5.148 * [backup-simplify]: Simplify 1/2 into 1/2 5.149 * [taylor]: Taking taylor expansion of K in U 5.149 * [backup-simplify]: Simplify K into K 5.149 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.149 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.149 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.149 * [backup-simplify]: Simplify (+ 0) into 0 5.150 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 5.150 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 5.151 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.151 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 5.151 * [backup-simplify]: Simplify (- 0) into 0 5.152 * [backup-simplify]: Simplify (+ 0 0) into 0 5.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 5.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 5.154 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 5.154 * [taylor]: Taking taylor expansion of 0 in K 5.154 * [backup-simplify]: Simplify 0 into 0 5.154 * [taylor]: Taking taylor expansion of 0 in U 5.154 * [backup-simplify]: Simplify 0 into 0 5.154 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 5.154 * [taylor]: Taking taylor expansion of 0 in U 5.154 * [backup-simplify]: Simplify 0 into 0 5.155 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.155 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.155 * [backup-simplify]: Simplify (- 0) into 0 5.155 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.155 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 5.155 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 5.156 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.157 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 5.157 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 5.158 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.158 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 5.159 * [backup-simplify]: Simplify (- 0) into 0 5.159 * [backup-simplify]: Simplify (+ 0 0) into 0 5.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.160 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 5.161 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 5.161 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 5.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (cos (/ 1/2 K))))) into (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) 5.162 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) 5.162 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in K 5.162 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in K 5.162 * [taylor]: Taking taylor expansion of 1/4 in K 5.163 * [backup-simplify]: Simplify 1/4 into 1/4 5.163 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in K 5.163 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in K 5.163 * [taylor]: Taking taylor expansion of (pow U 2) in K 5.163 * [taylor]: Taking taylor expansion of U in K 5.163 * [backup-simplify]: Simplify U into U 5.163 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 5.163 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 5.163 * [taylor]: Taking taylor expansion of 1/2 in K 5.163 * [backup-simplify]: Simplify 1/2 into 1/2 5.163 * [taylor]: Taking taylor expansion of K in K 5.163 * [backup-simplify]: Simplify 0 into 0 5.163 * [backup-simplify]: Simplify 1 into 1 5.163 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.163 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.163 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.163 * [backup-simplify]: Simplify (* (pow U 2) (cos (/ 1/2 K))) into (* (pow U 2) (cos (/ 1/2 K))) 5.163 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) into (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) 5.163 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) into (/ 1/4 (* (pow U 2) (cos (/ 1/2 K)))) 5.163 * [backup-simplify]: Simplify (- (/ 1/4 (* (pow U 2) (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) 5.163 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in U 5.163 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in U 5.163 * [taylor]: Taking taylor expansion of 1/4 in U 5.164 * [backup-simplify]: Simplify 1/4 into 1/4 5.164 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in U 5.164 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in U 5.164 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.164 * [taylor]: Taking taylor expansion of U in U 5.164 * [backup-simplify]: Simplify 0 into 0 5.164 * [backup-simplify]: Simplify 1 into 1 5.164 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 5.164 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 5.164 * [taylor]: Taking taylor expansion of 1/2 in U 5.164 * [backup-simplify]: Simplify 1/2 into 1/2 5.164 * [taylor]: Taking taylor expansion of K in U 5.164 * [backup-simplify]: Simplify K into K 5.164 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.164 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.164 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.164 * [backup-simplify]: Simplify (* 1 1) into 1 5.164 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.164 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.164 * [backup-simplify]: Simplify (- 0) into 0 5.164 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.165 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 5.165 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 5.165 * [backup-simplify]: Simplify (+ 0) into 0 5.165 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 5.165 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 5.166 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.166 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 5.166 * [backup-simplify]: Simplify (- 0) into 0 5.166 * [backup-simplify]: Simplify (+ 0 0) into 0 5.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 5.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 5.168 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 5.168 * [backup-simplify]: Simplify (- 0) into 0 5.168 * [backup-simplify]: Simplify 0 into 0 5.168 * [taylor]: Taking taylor expansion of 0 in U 5.168 * [backup-simplify]: Simplify 0 into 0 5.168 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 5.168 * [taylor]: Taking taylor expansion of 0 in U 5.168 * [backup-simplify]: Simplify 0 into 0 5.168 * [backup-simplify]: Simplify 0 into 0 5.169 * [backup-simplify]: Simplify 0 into 0 5.169 * [backup-simplify]: Simplify (+ 0) into 0 5.169 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 5.169 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 5.170 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.170 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 5.170 * [backup-simplify]: Simplify (- 0) into 0 5.170 * [backup-simplify]: Simplify (+ 0 0) into 0 5.171 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 5.171 * [backup-simplify]: Simplify 0 into 0 5.171 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.172 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.172 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 5.173 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 5.173 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 5.173 * [backup-simplify]: Simplify (- 0) into 0 5.174 * [backup-simplify]: Simplify (+ 0 0) into 0 5.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.175 * [backup-simplify]: Simplify (+ 0) into 0 5.176 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 5.176 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 5.176 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.176 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 5.177 * [backup-simplify]: Simplify (- 0) into 0 5.177 * [backup-simplify]: Simplify (+ 0 0) into 0 5.177 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 5.177 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 5.177 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 5.178 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 5.178 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 5.178 * [backup-simplify]: Simplify (+ 0 0) into 0 5.179 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 1)) into 0 5.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) (* 0 (cos (/ 1/2 K)))))) into 0 5.180 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 5.180 * [taylor]: Taking taylor expansion of 0 in K 5.180 * [backup-simplify]: Simplify 0 into 0 5.180 * [taylor]: Taking taylor expansion of 0 in U 5.180 * [backup-simplify]: Simplify 0 into 0 5.180 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 5.180 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (cos (/ 1/2 K)))) into 0 5.180 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) (/ 0 (* (pow U 2) (cos (/ 1/2 K))))))) into 0 5.181 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) into 0 5.181 * [backup-simplify]: Simplify (- 0) into 0 5.181 * [taylor]: Taking taylor expansion of 0 in U 5.181 * [backup-simplify]: Simplify 0 into 0 5.181 * [taylor]: Taking taylor expansion of 0 in U 5.181 * [backup-simplify]: Simplify 0 into 0 5.182 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 5.182 * [taylor]: Taking taylor expansion of 0 in U 5.182 * [backup-simplify]: Simplify 0 into 0 5.182 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.183 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 5.183 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 5.183 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.184 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 5.184 * [backup-simplify]: Simplify (- 0) into 0 5.184 * [backup-simplify]: Simplify (+ 0 0) into 0 5.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 5.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 5.186 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 5.186 * [backup-simplify]: Simplify (- 0) into 0 5.186 * [backup-simplify]: Simplify 0 into 0 5.186 * [backup-simplify]: Simplify 0 into 0 5.186 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (cos (* 1/2 K)) J)) 5.187 * [backup-simplify]: Simplify (* (/ 1 (- J)) (* (* -2 (cos (/ (/ 1 (- K)) 2))) (sqrt (+ (* (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J))))) (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))))) 1)))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 5.187 * [approximate]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in (J K U) around 0 5.187 * [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 5.187 * [taylor]: Taking taylor expansion of 2 in U 5.187 * [backup-simplify]: Simplify 2 into 2 5.187 * [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 5.187 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U 5.187 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 5.187 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 5.187 * [taylor]: Taking taylor expansion of -1/2 in U 5.187 * [backup-simplify]: Simplify -1/2 into -1/2 5.187 * [taylor]: Taking taylor expansion of K in U 5.187 * [backup-simplify]: Simplify K into K 5.187 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.187 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.187 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.187 * [taylor]: Taking taylor expansion of J in U 5.187 * [backup-simplify]: Simplify J into J 5.187 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.187 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.188 * [backup-simplify]: Simplify (- 0) into 0 5.188 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.188 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 5.188 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 5.188 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 5.188 * [taylor]: Taking taylor expansion of 1 in U 5.188 * [backup-simplify]: Simplify 1 into 1 5.188 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 5.188 * [taylor]: Taking taylor expansion of 1/4 in U 5.188 * [backup-simplify]: Simplify 1/4 into 1/4 5.188 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 5.188 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.188 * [taylor]: Taking taylor expansion of J in U 5.188 * [backup-simplify]: Simplify J into J 5.188 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 5.188 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 5.188 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 5.188 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 5.188 * [taylor]: Taking taylor expansion of -1/2 in U 5.188 * [backup-simplify]: Simplify -1/2 into -1/2 5.188 * [taylor]: Taking taylor expansion of K in U 5.188 * [backup-simplify]: Simplify K into K 5.188 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.188 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.188 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.188 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.188 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.189 * [backup-simplify]: Simplify (- 0) into 0 5.189 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.189 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.189 * [taylor]: Taking taylor expansion of U in U 5.189 * [backup-simplify]: Simplify 0 into 0 5.189 * [backup-simplify]: Simplify 1 into 1 5.189 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.189 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 5.189 * [backup-simplify]: Simplify (* 1 1) into 1 5.189 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 5.189 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 5.189 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 5.189 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 5.190 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 5.190 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.190 * [backup-simplify]: Simplify (+ 0) into 0 5.191 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 5.191 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 5.191 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.191 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 5.192 * [backup-simplify]: Simplify (- 0) into 0 5.192 * [backup-simplify]: Simplify (+ 0 0) into 0 5.192 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 5.192 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 5.193 * [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 5.193 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 5.193 * [backup-simplify]: Simplify (+ 0 0) into 0 5.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 5.193 * [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 5.193 * [taylor]: Taking taylor expansion of 2 in K 5.193 * [backup-simplify]: Simplify 2 into 2 5.193 * [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 5.193 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 5.193 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 5.193 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 5.193 * [taylor]: Taking taylor expansion of -1/2 in K 5.193 * [backup-simplify]: Simplify -1/2 into -1/2 5.193 * [taylor]: Taking taylor expansion of K in K 5.194 * [backup-simplify]: Simplify 0 into 0 5.194 * [backup-simplify]: Simplify 1 into 1 5.194 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.194 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.194 * [taylor]: Taking taylor expansion of J in K 5.194 * [backup-simplify]: Simplify J into J 5.194 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 5.194 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 5.194 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 5.194 * [taylor]: Taking taylor expansion of 1 in K 5.194 * [backup-simplify]: Simplify 1 into 1 5.194 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 5.194 * [taylor]: Taking taylor expansion of 1/4 in K 5.194 * [backup-simplify]: Simplify 1/4 into 1/4 5.194 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 5.194 * [taylor]: Taking taylor expansion of (pow J 2) in K 5.194 * [taylor]: Taking taylor expansion of J in K 5.194 * [backup-simplify]: Simplify J into J 5.194 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 5.194 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 5.194 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 5.194 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 5.194 * [taylor]: Taking taylor expansion of -1/2 in K 5.194 * [backup-simplify]: Simplify -1/2 into -1/2 5.194 * [taylor]: Taking taylor expansion of K in K 5.194 * [backup-simplify]: Simplify 0 into 0 5.194 * [backup-simplify]: Simplify 1 into 1 5.195 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.195 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.195 * [taylor]: Taking taylor expansion of (pow U 2) in K 5.195 * [taylor]: Taking taylor expansion of U in K 5.195 * [backup-simplify]: Simplify U into U 5.195 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.195 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 5.195 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.195 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 5.195 * [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))) 5.195 * [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)))) 5.195 * [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))))) 5.196 * [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)))))) 5.196 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.196 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 5.196 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 5.196 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 5.196 * [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 5.197 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 5.197 * [backup-simplify]: Simplify (+ 0 0) into 0 5.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 5.197 * [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 5.197 * [taylor]: Taking taylor expansion of 2 in J 5.197 * [backup-simplify]: Simplify 2 into 2 5.197 * [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 5.197 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 5.197 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 5.197 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 5.197 * [taylor]: Taking taylor expansion of -1/2 in J 5.197 * [backup-simplify]: Simplify -1/2 into -1/2 5.197 * [taylor]: Taking taylor expansion of K in J 5.197 * [backup-simplify]: Simplify K into K 5.197 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.197 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.197 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.197 * [taylor]: Taking taylor expansion of J in J 5.197 * [backup-simplify]: Simplify 0 into 0 5.197 * [backup-simplify]: Simplify 1 into 1 5.198 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.198 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.198 * [backup-simplify]: Simplify (- 0) into 0 5.198 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.198 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.198 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 5.198 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 5.198 * [taylor]: Taking taylor expansion of 1 in J 5.198 * [backup-simplify]: Simplify 1 into 1 5.198 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 5.198 * [taylor]: Taking taylor expansion of 1/4 in J 5.198 * [backup-simplify]: Simplify 1/4 into 1/4 5.198 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 5.198 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.198 * [taylor]: Taking taylor expansion of J in J 5.198 * [backup-simplify]: Simplify 0 into 0 5.198 * [backup-simplify]: Simplify 1 into 1 5.198 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 5.198 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 5.198 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 5.198 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 5.198 * [taylor]: Taking taylor expansion of -1/2 in J 5.198 * [backup-simplify]: Simplify -1/2 into -1/2 5.198 * [taylor]: Taking taylor expansion of K in J 5.198 * [backup-simplify]: Simplify K into K 5.198 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.198 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.198 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.198 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.198 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.199 * [backup-simplify]: Simplify (- 0) into 0 5.199 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.199 * [taylor]: Taking taylor expansion of (pow U 2) in J 5.199 * [taylor]: Taking taylor expansion of U in J 5.199 * [backup-simplify]: Simplify U into U 5.199 * [backup-simplify]: Simplify (* 1 1) into 1 5.199 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 5.199 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.199 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 5.199 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 5.200 * [backup-simplify]: Simplify (+ 1 0) into 1 5.200 * [backup-simplify]: Simplify (sqrt 1) into 1 5.200 * [backup-simplify]: Simplify (+ 0 0) into 0 5.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.201 * [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 5.201 * [taylor]: Taking taylor expansion of 2 in J 5.201 * [backup-simplify]: Simplify 2 into 2 5.201 * [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 5.201 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 5.201 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 5.201 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 5.201 * [taylor]: Taking taylor expansion of -1/2 in J 5.201 * [backup-simplify]: Simplify -1/2 into -1/2 5.201 * [taylor]: Taking taylor expansion of K in J 5.201 * [backup-simplify]: Simplify K into K 5.201 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.201 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.201 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.201 * [taylor]: Taking taylor expansion of J in J 5.201 * [backup-simplify]: Simplify 0 into 0 5.201 * [backup-simplify]: Simplify 1 into 1 5.201 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.201 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.201 * [backup-simplify]: Simplify (- 0) into 0 5.201 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.201 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.201 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 5.201 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 5.201 * [taylor]: Taking taylor expansion of 1 in J 5.201 * [backup-simplify]: Simplify 1 into 1 5.201 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 5.201 * [taylor]: Taking taylor expansion of 1/4 in J 5.201 * [backup-simplify]: Simplify 1/4 into 1/4 5.202 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 5.202 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.202 * [taylor]: Taking taylor expansion of J in J 5.202 * [backup-simplify]: Simplify 0 into 0 5.202 * [backup-simplify]: Simplify 1 into 1 5.202 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 5.202 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 5.202 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 5.202 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 5.202 * [taylor]: Taking taylor expansion of -1/2 in J 5.202 * [backup-simplify]: Simplify -1/2 into -1/2 5.202 * [taylor]: Taking taylor expansion of K in J 5.202 * [backup-simplify]: Simplify K into K 5.202 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.202 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.202 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.202 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.202 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.202 * [backup-simplify]: Simplify (- 0) into 0 5.202 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.202 * [taylor]: Taking taylor expansion of (pow U 2) in J 5.202 * [taylor]: Taking taylor expansion of U in J 5.202 * [backup-simplify]: Simplify U into U 5.202 * [backup-simplify]: Simplify (* 1 1) into 1 5.203 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 5.203 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.203 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 5.203 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 5.203 * [backup-simplify]: Simplify (+ 1 0) into 1 5.203 * [backup-simplify]: Simplify (sqrt 1) into 1 5.204 * [backup-simplify]: Simplify (+ 0 0) into 0 5.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.204 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.205 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 5.205 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K 5.205 * [taylor]: Taking taylor expansion of 2 in K 5.205 * [backup-simplify]: Simplify 2 into 2 5.205 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 5.205 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 5.205 * [taylor]: Taking taylor expansion of -1/2 in K 5.205 * [backup-simplify]: Simplify -1/2 into -1/2 5.205 * [taylor]: Taking taylor expansion of K in K 5.205 * [backup-simplify]: Simplify 0 into 0 5.205 * [backup-simplify]: Simplify 1 into 1 5.205 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.205 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.205 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 5.205 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in U 5.205 * [taylor]: Taking taylor expansion of 2 in U 5.206 * [backup-simplify]: Simplify 2 into 2 5.206 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 5.206 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 5.206 * [taylor]: Taking taylor expansion of -1/2 in U 5.206 * [backup-simplify]: Simplify -1/2 into -1/2 5.206 * [taylor]: Taking taylor expansion of K in U 5.206 * [backup-simplify]: Simplify K into K 5.206 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.206 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.206 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.206 * [backup-simplify]: Simplify (+ 0) into 0 5.207 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 5.207 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 5.208 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.208 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 5.209 * [backup-simplify]: Simplify (- 0) into 0 5.209 * [backup-simplify]: Simplify (+ 0 0) into 0 5.210 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 5.210 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 5.211 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 5.211 * [taylor]: Taking taylor expansion of 0 in K 5.211 * [backup-simplify]: Simplify 0 into 0 5.211 * [taylor]: Taking taylor expansion of 0 in U 5.211 * [backup-simplify]: Simplify 0 into 0 5.211 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 5.211 * [taylor]: Taking taylor expansion of 0 in U 5.212 * [backup-simplify]: Simplify 0 into 0 5.212 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.212 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.212 * [backup-simplify]: Simplify (- 0) into 0 5.212 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.212 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 5.212 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 5.213 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 5.213 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 5.214 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 5.215 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.216 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 5.216 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 5.217 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.217 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 5.218 * [backup-simplify]: Simplify (- 0) into 0 5.218 * [backup-simplify]: Simplify (+ 0 0) into 0 5.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.220 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) 5.221 * [backup-simplify]: Simplify (+ (* 2 (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) 5.221 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) in K 5.221 * [taylor]: Taking taylor expansion of 1/4 in K 5.221 * [backup-simplify]: Simplify 1/4 into 1/4 5.221 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) in K 5.221 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in K 5.221 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 5.221 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 5.221 * [taylor]: Taking taylor expansion of -1/2 in K 5.221 * [backup-simplify]: Simplify -1/2 into -1/2 5.221 * [taylor]: Taking taylor expansion of K in K 5.221 * [backup-simplify]: Simplify 0 into 0 5.221 * [backup-simplify]: Simplify 1 into 1 5.221 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.221 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.221 * [taylor]: Taking taylor expansion of (pow U 2) in K 5.221 * [taylor]: Taking taylor expansion of U in K 5.221 * [backup-simplify]: Simplify U into U 5.221 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.221 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow U 2)) into (* (cos (/ -1/2 K)) (pow U 2)) 5.221 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) into (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) 5.221 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) into (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) 5.221 * [taylor]: Taking taylor expansion of (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) in U 5.221 * [taylor]: Taking taylor expansion of 1/4 in U 5.222 * [backup-simplify]: Simplify 1/4 into 1/4 5.222 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in U 5.222 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 5.222 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 5.222 * [taylor]: Taking taylor expansion of -1/2 in U 5.222 * [backup-simplify]: Simplify -1/2 into -1/2 5.222 * [taylor]: Taking taylor expansion of K in U 5.222 * [backup-simplify]: Simplify K into K 5.222 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.222 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.222 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.222 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.222 * [taylor]: Taking taylor expansion of U in U 5.222 * [backup-simplify]: Simplify 0 into 0 5.222 * [backup-simplify]: Simplify 1 into 1 5.222 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.222 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.222 * [backup-simplify]: Simplify (- 0) into 0 5.222 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.222 * [backup-simplify]: Simplify (* 1 1) into 1 5.223 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.223 * [backup-simplify]: Simplify (/ 1/4 (cos (/ -1/2 K))) into (/ 1/4 (cos (/ -1/2 K))) 5.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.223 * [backup-simplify]: Simplify (+ 0) into 0 5.223 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 5.224 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 5.224 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.224 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 5.225 * [backup-simplify]: Simplify (- 0) into 0 5.225 * [backup-simplify]: Simplify (+ 0 0) into 0 5.225 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 5.225 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 5.225 * [backup-simplify]: Simplify 0 into 0 5.225 * [taylor]: Taking taylor expansion of 0 in U 5.225 * [backup-simplify]: Simplify 0 into 0 5.226 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 5.226 * [taylor]: Taking taylor expansion of 0 in U 5.226 * [backup-simplify]: Simplify 0 into 0 5.226 * [backup-simplify]: Simplify 0 into 0 5.226 * [backup-simplify]: Simplify 0 into 0 5.226 * [backup-simplify]: Simplify (+ 0) into 0 5.226 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 5.227 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 5.227 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.227 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 5.228 * [backup-simplify]: Simplify (- 0) into 0 5.228 * [backup-simplify]: Simplify (+ 0 0) into 0 5.228 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 5.228 * [backup-simplify]: Simplify 0 into 0 5.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.229 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 5.229 * [backup-simplify]: Simplify (+ 0) into 0 5.229 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 5.229 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 5.230 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.230 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 5.230 * [backup-simplify]: Simplify (- 0) into 0 5.230 * [backup-simplify]: Simplify (+ 0 0) into 0 5.230 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 5.231 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 5.231 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 5.231 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 5.232 * [backup-simplify]: Simplify (+ 0 0) into 0 5.232 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (* 2 1)) into 0 5.232 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.233 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.233 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 5.234 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 5.234 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 5.235 * [backup-simplify]: Simplify (- 0) into 0 5.235 * [backup-simplify]: Simplify (+ 0 0) into 0 5.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.237 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1)))) into 0 5.237 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 5.237 * [taylor]: Taking taylor expansion of 0 in K 5.237 * [backup-simplify]: Simplify 0 into 0 5.237 * [taylor]: Taking taylor expansion of 0 in U 5.237 * [backup-simplify]: Simplify 0 into 0 5.237 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 5.237 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow U 2))) into 0 5.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) (/ 0 (* (cos (/ -1/2 K)) (pow U 2)))))) into 0 5.238 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) into 0 5.238 * [taylor]: Taking taylor expansion of 0 in U 5.238 * [backup-simplify]: Simplify 0 into 0 5.238 * [taylor]: Taking taylor expansion of 0 in U 5.238 * [backup-simplify]: Simplify 0 into 0 5.239 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 5.239 * [taylor]: Taking taylor expansion of 0 in U 5.239 * [backup-simplify]: Simplify 0 into 0 5.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.240 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.240 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 5.241 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 5.241 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.241 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 5.242 * [backup-simplify]: Simplify (- 0) into 0 5.242 * [backup-simplify]: Simplify (+ 0 0) into 0 5.242 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 5.242 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 5.242 * [backup-simplify]: Simplify 0 into 0 5.242 * [backup-simplify]: Simplify 0 into 0 5.243 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 (* (cos (* 1/2 K)) J)) 5.243 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 5.243 * [backup-simplify]: Simplify (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 5.243 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in (U K J) around 0 5.243 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 5.243 * [taylor]: Taking taylor expansion of 1/4 in J 5.243 * [backup-simplify]: Simplify 1/4 into 1/4 5.243 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 5.243 * [taylor]: Taking taylor expansion of (pow U 2) in J 5.243 * [taylor]: Taking taylor expansion of U in J 5.243 * [backup-simplify]: Simplify U into U 5.243 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 5.243 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 5.243 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 5.243 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 5.243 * [taylor]: Taking taylor expansion of 1/2 in J 5.243 * [backup-simplify]: Simplify 1/2 into 1/2 5.243 * [taylor]: Taking taylor expansion of K in J 5.243 * [backup-simplify]: Simplify K into K 5.243 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.243 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.243 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.243 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.243 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.244 * [backup-simplify]: Simplify (- 0) into 0 5.244 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.244 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.244 * [taylor]: Taking taylor expansion of J in J 5.244 * [backup-simplify]: Simplify 0 into 0 5.244 * [backup-simplify]: Simplify 1 into 1 5.244 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.244 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 5.244 * [backup-simplify]: Simplify (* 1 1) into 1 5.244 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 5.244 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 5.244 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 5.244 * [taylor]: Taking taylor expansion of 1/4 in K 5.244 * [backup-simplify]: Simplify 1/4 into 1/4 5.244 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 5.244 * [taylor]: Taking taylor expansion of (pow U 2) in K 5.244 * [taylor]: Taking taylor expansion of U in K 5.244 * [backup-simplify]: Simplify U into U 5.244 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 5.244 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 5.244 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 5.244 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 5.244 * [taylor]: Taking taylor expansion of 1/2 in K 5.244 * [backup-simplify]: Simplify 1/2 into 1/2 5.244 * [taylor]: Taking taylor expansion of K in K 5.244 * [backup-simplify]: Simplify 0 into 0 5.245 * [backup-simplify]: Simplify 1 into 1 5.249 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.250 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.250 * [taylor]: Taking taylor expansion of (pow J 2) in K 5.250 * [taylor]: Taking taylor expansion of J in K 5.250 * [backup-simplify]: Simplify J into J 5.250 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.250 * [backup-simplify]: Simplify (* 1 1) into 1 5.250 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.251 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 5.251 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 5.251 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 5.251 * [taylor]: Taking taylor expansion of 1/4 in U 5.251 * [backup-simplify]: Simplify 1/4 into 1/4 5.251 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 5.251 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.251 * [taylor]: Taking taylor expansion of U in U 5.251 * [backup-simplify]: Simplify 0 into 0 5.251 * [backup-simplify]: Simplify 1 into 1 5.251 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 5.251 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 5.251 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 5.251 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 5.251 * [taylor]: Taking taylor expansion of 1/2 in U 5.251 * [backup-simplify]: Simplify 1/2 into 1/2 5.251 * [taylor]: Taking taylor expansion of K in U 5.251 * [backup-simplify]: Simplify K into K 5.251 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.251 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.251 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.251 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.251 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.251 * [backup-simplify]: Simplify (- 0) into 0 5.251 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.251 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.251 * [taylor]: Taking taylor expansion of J in U 5.251 * [backup-simplify]: Simplify J into J 5.252 * [backup-simplify]: Simplify (* 1 1) into 1 5.252 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 5.252 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.252 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 5.252 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 5.252 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 5.252 * [taylor]: Taking taylor expansion of 1/4 in U 5.252 * [backup-simplify]: Simplify 1/4 into 1/4 5.252 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 5.252 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.252 * [taylor]: Taking taylor expansion of U in U 5.252 * [backup-simplify]: Simplify 0 into 0 5.252 * [backup-simplify]: Simplify 1 into 1 5.252 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 5.252 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 5.252 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 5.252 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 5.252 * [taylor]: Taking taylor expansion of 1/2 in U 5.252 * [backup-simplify]: Simplify 1/2 into 1/2 5.252 * [taylor]: Taking taylor expansion of K in U 5.252 * [backup-simplify]: Simplify K into K 5.252 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.252 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.252 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.252 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.253 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.253 * [backup-simplify]: Simplify (- 0) into 0 5.253 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.253 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.253 * [taylor]: Taking taylor expansion of J in U 5.253 * [backup-simplify]: Simplify J into J 5.253 * [backup-simplify]: Simplify (* 1 1) into 1 5.253 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 5.253 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.253 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 5.253 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 5.254 * [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))) 5.254 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 5.254 * [taylor]: Taking taylor expansion of 1/4 in K 5.254 * [backup-simplify]: Simplify 1/4 into 1/4 5.254 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 5.254 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 5.254 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 5.254 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 5.254 * [taylor]: Taking taylor expansion of 1/2 in K 5.254 * [backup-simplify]: Simplify 1/2 into 1/2 5.254 * [taylor]: Taking taylor expansion of K in K 5.254 * [backup-simplify]: Simplify 0 into 0 5.254 * [backup-simplify]: Simplify 1 into 1 5.254 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.255 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.255 * [taylor]: Taking taylor expansion of (pow J 2) in K 5.255 * [taylor]: Taking taylor expansion of J in K 5.255 * [backup-simplify]: Simplify J into J 5.255 * [backup-simplify]: Simplify (* 1 1) into 1 5.255 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.255 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 5.255 * [backup-simplify]: Simplify (/ 1/4 (pow J 2)) into (/ 1/4 (pow J 2)) 5.255 * [taylor]: Taking taylor expansion of (/ 1/4 (pow J 2)) in J 5.255 * [taylor]: Taking taylor expansion of 1/4 in J 5.255 * [backup-simplify]: Simplify 1/4 into 1/4 5.255 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.255 * [taylor]: Taking taylor expansion of J in J 5.255 * [backup-simplify]: Simplify 0 into 0 5.255 * [backup-simplify]: Simplify 1 into 1 5.255 * [backup-simplify]: Simplify (* 1 1) into 1 5.256 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 5.256 * [backup-simplify]: Simplify 1/4 into 1/4 5.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.256 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.256 * [backup-simplify]: Simplify (+ 0) into 0 5.257 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 5.257 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 5.257 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.258 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 5.258 * [backup-simplify]: Simplify (- 0) into 0 5.258 * [backup-simplify]: Simplify (+ 0 0) into 0 5.258 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 5.258 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 5.259 * [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 5.259 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 5.259 * [taylor]: Taking taylor expansion of 0 in K 5.259 * [backup-simplify]: Simplify 0 into 0 5.259 * [taylor]: Taking taylor expansion of 0 in J 5.259 * [backup-simplify]: Simplify 0 into 0 5.259 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.259 * [backup-simplify]: Simplify (+ 0) into 0 5.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 5.260 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ 0 (pow J 2))))) into 0 5.260 * [taylor]: Taking taylor expansion of 0 in J 5.260 * [backup-simplify]: Simplify 0 into 0 5.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 5.261 * [backup-simplify]: Simplify 0 into 0 5.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.262 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 5.263 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.263 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 5.263 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 5.264 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.264 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 5.265 * [backup-simplify]: Simplify (- 0) into 0 5.265 * [backup-simplify]: Simplify (+ 0 0) into 0 5.265 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 5.266 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0 5.266 * [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 5.267 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 5.267 * [taylor]: Taking taylor expansion of 0 in K 5.267 * [backup-simplify]: Simplify 0 into 0 5.267 * [taylor]: Taking taylor expansion of 0 in J 5.267 * [backup-simplify]: Simplify 0 into 0 5.267 * [taylor]: Taking taylor expansion of 0 in J 5.267 * [backup-simplify]: Simplify 0 into 0 5.267 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 5.268 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 5.268 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4 5.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/4 (pow J 2)))) into (- (* 1/4 (pow J 2))) 5.269 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* 0 (/ 0 (pow J 2))))) into (* 1/16 (/ 1 (pow J 2))) 5.269 * [taylor]: Taking taylor expansion of (* 1/16 (/ 1 (pow J 2))) in J 5.269 * [taylor]: Taking taylor expansion of 1/16 in J 5.269 * [backup-simplify]: Simplify 1/16 into 1/16 5.269 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J 5.269 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.269 * [taylor]: Taking taylor expansion of J in J 5.269 * [backup-simplify]: Simplify 0 into 0 5.269 * [backup-simplify]: Simplify 1 into 1 5.269 * [backup-simplify]: Simplify (* 1 1) into 1 5.270 * [backup-simplify]: Simplify (/ 1 1) into 1 5.270 * [backup-simplify]: Simplify (* 1/16 1) into 1/16 5.270 * [backup-simplify]: Simplify 1/16 into 1/16 5.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.271 * [backup-simplify]: Simplify 0 into 0 5.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.273 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 5.274 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.275 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.276 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 5.277 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 5.278 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 5.279 * [backup-simplify]: Simplify (- 0) into 0 5.279 * [backup-simplify]: Simplify (+ 0 0) into 0 5.280 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 5.281 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0 5.282 * [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 5.283 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) into 0 5.283 * [taylor]: Taking taylor expansion of 0 in K 5.283 * [backup-simplify]: Simplify 0 into 0 5.283 * [taylor]: Taking taylor expansion of 0 in J 5.283 * [backup-simplify]: Simplify 0 into 0 5.283 * [taylor]: Taking taylor expansion of 0 in J 5.283 * [backup-simplify]: Simplify 0 into 0 5.283 * [taylor]: Taking taylor expansion of 0 in J 5.283 * [backup-simplify]: Simplify 0 into 0 5.284 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 5.285 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.286 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0 5.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (* 0 (pow J 2))))) into 0 5.289 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ 0 (pow J 2))) (* 0 (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* (* 1/16 (/ 1 (pow J 2))) (/ 0 (pow J 2))))) into 0 5.290 * [taylor]: Taking taylor expansion of 0 in J 5.290 * [backup-simplify]: Simplify 0 into 0 5.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.292 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 1)) into 0 5.292 * [backup-simplify]: Simplify 0 into 0 5.292 * [backup-simplify]: Simplify 0 into 0 5.292 * [backup-simplify]: Simplify 0 into 0 5.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.294 * [backup-simplify]: Simplify 0 into 0 5.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.296 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 5.298 * [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 5.299 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.300 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 5.302 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 5.302 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 5.303 * [backup-simplify]: Simplify (- 0) into 0 5.303 * [backup-simplify]: Simplify (+ 0 0) into 0 5.304 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0 5.305 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2)))))) into 0 5.306 * [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 5.308 * [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 5.308 * [taylor]: Taking taylor expansion of 0 in K 5.308 * [backup-simplify]: Simplify 0 into 0 5.308 * [taylor]: Taking taylor expansion of 0 in J 5.308 * [backup-simplify]: Simplify 0 into 0 5.308 * [taylor]: Taking taylor expansion of 0 in J 5.308 * [backup-simplify]: Simplify 0 into 0 5.308 * [taylor]: Taking taylor expansion of 0 in J 5.308 * [backup-simplify]: Simplify 0 into 0 5.308 * [taylor]: Taking taylor expansion of 0 in J 5.308 * [backup-simplify]: Simplify 0 into 0 5.309 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0 5.310 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.313 * [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 5.314 * [backup-simplify]: Simplify (+ (* 1 1/384) (+ (* 0 0) (+ (* -1/8 -1/8) (+ (* 0 0) (* 1/384 1))))) into 1/48 5.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/4 0) (+ (* 0 0) (* 1/48 (pow J 2)))))) into (* 1/48 (pow J 2)) 5.318 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/4 (pow J 2)) (/ (* 1/48 (pow J 2)) (pow J 2))) (* 0 (/ 0 (pow J 2))) (* (* 1/16 (/ 1 (pow J 2))) (/ (- (* 1/4 (pow J 2))) (pow J 2))) (* 0 (/ 0 (pow J 2))))) into (* 1/96 (/ 1 (pow J 2))) 5.318 * [taylor]: Taking taylor expansion of (* 1/96 (/ 1 (pow J 2))) in J 5.318 * [taylor]: Taking taylor expansion of 1/96 in J 5.318 * [backup-simplify]: Simplify 1/96 into 1/96 5.318 * [taylor]: Taking taylor expansion of (/ 1 (pow J 2)) in J 5.318 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.318 * [taylor]: Taking taylor expansion of J in J 5.318 * [backup-simplify]: Simplify 0 into 0 5.318 * [backup-simplify]: Simplify 1 into 1 5.318 * [backup-simplify]: Simplify (* 1 1) into 1 5.319 * [backup-simplify]: Simplify (/ 1 1) into 1 5.319 * [backup-simplify]: Simplify (* 1/96 1) into 1/96 5.319 * [backup-simplify]: Simplify 1/96 into 1/96 5.320 * [backup-simplify]: Simplify (+ (* 1/96 (pow (* (/ 1 J) (* (pow K 2) U)) 2)) (+ (* 1/16 (pow (* (/ 1 J) (* K U)) 2)) (* 1/4 (pow (* (/ 1 J) (* 1 U)) 2)))) into (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (* (pow K 4) (pow U 2)) (pow J 2))))) 5.321 * [backup-simplify]: Simplify (* (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J)))) (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 5.321 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in (U K J) around 0 5.321 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 5.321 * [taylor]: Taking taylor expansion of 1/4 in J 5.321 * [backup-simplify]: Simplify 1/4 into 1/4 5.321 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 5.321 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.321 * [taylor]: Taking taylor expansion of J in J 5.321 * [backup-simplify]: Simplify 0 into 0 5.321 * [backup-simplify]: Simplify 1 into 1 5.321 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 5.321 * [taylor]: Taking taylor expansion of (pow U 2) in J 5.321 * [taylor]: Taking taylor expansion of U in J 5.321 * [backup-simplify]: Simplify U into U 5.321 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 5.321 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 5.321 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 5.321 * [taylor]: Taking taylor expansion of 1/2 in J 5.321 * [backup-simplify]: Simplify 1/2 into 1/2 5.321 * [taylor]: Taking taylor expansion of K in J 5.321 * [backup-simplify]: Simplify K into K 5.321 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.321 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.321 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.322 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.322 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.322 * [backup-simplify]: Simplify (- 0) into 0 5.322 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.323 * [backup-simplify]: Simplify (* 1 1) into 1 5.323 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.323 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 5.323 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 5.323 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 5.323 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 5.323 * [taylor]: Taking taylor expansion of 1/4 in K 5.323 * [backup-simplify]: Simplify 1/4 into 1/4 5.323 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 5.323 * [taylor]: Taking taylor expansion of (pow J 2) in K 5.323 * [taylor]: Taking taylor expansion of J in K 5.323 * [backup-simplify]: Simplify J into J 5.323 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 5.324 * [taylor]: Taking taylor expansion of (pow U 2) in K 5.324 * [taylor]: Taking taylor expansion of U in K 5.324 * [backup-simplify]: Simplify U into U 5.324 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 5.324 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 5.324 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 5.324 * [taylor]: Taking taylor expansion of 1/2 in K 5.324 * [backup-simplify]: Simplify 1/2 into 1/2 5.324 * [taylor]: Taking taylor expansion of K in K 5.324 * [backup-simplify]: Simplify 0 into 0 5.324 * [backup-simplify]: Simplify 1 into 1 5.324 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.324 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.324 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.324 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.325 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 5.325 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 5.325 * [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))) 5.325 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 5.325 * [taylor]: Taking taylor expansion of 1/4 in U 5.325 * [backup-simplify]: Simplify 1/4 into 1/4 5.325 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 5.325 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.325 * [taylor]: Taking taylor expansion of J in U 5.325 * [backup-simplify]: Simplify J into J 5.325 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 5.325 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.325 * [taylor]: Taking taylor expansion of U in U 5.325 * [backup-simplify]: Simplify 0 into 0 5.325 * [backup-simplify]: Simplify 1 into 1 5.325 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 5.325 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 5.325 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 5.326 * [taylor]: Taking taylor expansion of 1/2 in U 5.326 * [backup-simplify]: Simplify 1/2 into 1/2 5.326 * [taylor]: Taking taylor expansion of K in U 5.326 * [backup-simplify]: Simplify K into K 5.326 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.326 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.326 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.326 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.326 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.326 * [backup-simplify]: Simplify (- 0) into 0 5.327 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.327 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.327 * [backup-simplify]: Simplify (* 1 1) into 1 5.327 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 5.327 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 5.327 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 5.328 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 5.328 * [taylor]: Taking taylor expansion of 1/4 in U 5.328 * [backup-simplify]: Simplify 1/4 into 1/4 5.328 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 5.328 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.328 * [taylor]: Taking taylor expansion of J in U 5.328 * [backup-simplify]: Simplify J into J 5.328 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 5.328 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.328 * [taylor]: Taking taylor expansion of U in U 5.328 * [backup-simplify]: Simplify 0 into 0 5.328 * [backup-simplify]: Simplify 1 into 1 5.328 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 5.328 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 5.328 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 5.328 * [taylor]: Taking taylor expansion of 1/2 in U 5.328 * [backup-simplify]: Simplify 1/2 into 1/2 5.328 * [taylor]: Taking taylor expansion of K in U 5.328 * [backup-simplify]: Simplify K into K 5.328 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.328 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.328 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.328 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.328 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.329 * [backup-simplify]: Simplify (- 0) into 0 5.329 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.329 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.329 * [backup-simplify]: Simplify (* 1 1) into 1 5.330 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 5.330 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 5.330 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 5.330 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 5.330 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 5.330 * [taylor]: Taking taylor expansion of 1/4 in K 5.330 * [backup-simplify]: Simplify 1/4 into 1/4 5.330 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 5.330 * [taylor]: Taking taylor expansion of (pow J 2) in K 5.330 * [taylor]: Taking taylor expansion of J in K 5.330 * [backup-simplify]: Simplify J into J 5.330 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 5.330 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 5.330 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 5.330 * [taylor]: Taking taylor expansion of 1/2 in K 5.331 * [backup-simplify]: Simplify 1/2 into 1/2 5.331 * [taylor]: Taking taylor expansion of K in K 5.331 * [backup-simplify]: Simplify 0 into 0 5.331 * [backup-simplify]: Simplify 1 into 1 5.331 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.331 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.331 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.331 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 5.332 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 5.332 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 5.332 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 5.332 * [taylor]: Taking taylor expansion of 1/4 in J 5.332 * [backup-simplify]: Simplify 1/4 into 1/4 5.332 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 5.332 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.332 * [taylor]: Taking taylor expansion of J in J 5.332 * [backup-simplify]: Simplify 0 into 0 5.332 * [backup-simplify]: Simplify 1 into 1 5.332 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 5.332 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 5.332 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 5.332 * [taylor]: Taking taylor expansion of 1/2 in J 5.332 * [backup-simplify]: Simplify 1/2 into 1/2 5.332 * [taylor]: Taking taylor expansion of K in J 5.332 * [backup-simplify]: Simplify K into K 5.332 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.332 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.332 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.332 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.332 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.333 * [backup-simplify]: Simplify (- 0) into 0 5.333 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.333 * [backup-simplify]: Simplify (* 1 1) into 1 5.333 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 5.334 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 5.334 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 5.334 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 5.334 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.334 * [backup-simplify]: Simplify (+ 0) into 0 5.335 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 5.335 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 5.336 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.336 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 5.336 * [backup-simplify]: Simplify (- 0) into 0 5.337 * [backup-simplify]: Simplify (+ 0 0) into 0 5.337 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 5.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 5.339 * [backup-simplify]: 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 5.339 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 5.340 * [taylor]: Taking taylor expansion of 0 in K 5.340 * [backup-simplify]: Simplify 0 into 0 5.340 * [taylor]: Taking taylor expansion of 0 in J 5.340 * [backup-simplify]: Simplify 0 into 0 5.340 * [backup-simplify]: Simplify 0 into 0 5.340 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.340 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 5.340 * [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 5.341 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 5.341 * [taylor]: Taking taylor expansion of 0 in J 5.341 * [backup-simplify]: Simplify 0 into 0 5.341 * [backup-simplify]: Simplify 0 into 0 5.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.342 * [backup-simplify]: Simplify (+ 0) into 0 5.343 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 5.343 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 5.344 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.344 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 5.345 * [backup-simplify]: Simplify (- 0) into 0 5.345 * [backup-simplify]: Simplify (+ 0 0) into 0 5.345 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 5.345 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 5.346 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 5.346 * [backup-simplify]: Simplify 0 into 0 5.347 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 5.347 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.348 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 5.348 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 5.349 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.350 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 5.350 * [backup-simplify]: Simplify (- 0) into 0 5.351 * [backup-simplify]: Simplify (+ 0 0) into 0 5.351 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 5.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 5.354 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 5.355 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 5.355 * [taylor]: Taking taylor expansion of 0 in K 5.355 * [backup-simplify]: Simplify 0 into 0 5.355 * [taylor]: Taking taylor expansion of 0 in J 5.355 * [backup-simplify]: Simplify 0 into 0 5.355 * [backup-simplify]: Simplify 0 into 0 5.355 * [taylor]: Taking taylor expansion of 0 in J 5.355 * [backup-simplify]: Simplify 0 into 0 5.355 * [backup-simplify]: Simplify 0 into 0 5.355 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 5.356 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 5.356 * [backup-simplify]: 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 5.357 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 5.357 * [taylor]: Taking taylor expansion of 0 in J 5.357 * [backup-simplify]: Simplify 0 into 0 5.358 * [backup-simplify]: Simplify 0 into 0 5.358 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)) (pow (* (/ 1 J) (* 1 (/ 1 (/ 1 U)))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 5.358 * [backup-simplify]: Simplify (* (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J))))) (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 5.358 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in (U K J) around 0 5.358 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 5.359 * [taylor]: Taking taylor expansion of 1/4 in J 5.359 * [backup-simplify]: Simplify 1/4 into 1/4 5.359 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 5.359 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.359 * [taylor]: Taking taylor expansion of J in J 5.359 * [backup-simplify]: Simplify 0 into 0 5.359 * [backup-simplify]: Simplify 1 into 1 5.359 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 5.359 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 5.359 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 5.359 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 5.359 * [taylor]: Taking taylor expansion of -1/2 in J 5.359 * [backup-simplify]: Simplify -1/2 into -1/2 5.359 * [taylor]: Taking taylor expansion of K in J 5.359 * [backup-simplify]: Simplify K into K 5.359 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.359 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.359 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.359 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.359 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.360 * [backup-simplify]: Simplify (- 0) into 0 5.360 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.360 * [taylor]: Taking taylor expansion of (pow U 2) in J 5.360 * [taylor]: Taking taylor expansion of U in J 5.360 * [backup-simplify]: Simplify U into U 5.360 * [backup-simplify]: Simplify (* 1 1) into 1 5.361 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 5.361 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.361 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 5.361 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 5.361 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 5.361 * [taylor]: Taking taylor expansion of 1/4 in K 5.361 * [backup-simplify]: Simplify 1/4 into 1/4 5.361 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 5.361 * [taylor]: Taking taylor expansion of (pow J 2) in K 5.361 * [taylor]: Taking taylor expansion of J in K 5.361 * [backup-simplify]: Simplify J into J 5.361 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 5.361 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 5.361 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 5.361 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 5.361 * [taylor]: Taking taylor expansion of -1/2 in K 5.361 * [backup-simplify]: Simplify -1/2 into -1/2 5.361 * [taylor]: Taking taylor expansion of K in K 5.361 * [backup-simplify]: Simplify 0 into 0 5.361 * [backup-simplify]: Simplify 1 into 1 5.362 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.362 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.362 * [taylor]: Taking taylor expansion of (pow U 2) in K 5.362 * [taylor]: Taking taylor expansion of U in K 5.362 * [backup-simplify]: Simplify U into U 5.362 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.362 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 5.362 * [backup-simplify]: Simplify (* U U) into (pow U 2) 5.362 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 5.363 * [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))) 5.363 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 5.363 * [taylor]: Taking taylor expansion of 1/4 in U 5.363 * [backup-simplify]: Simplify 1/4 into 1/4 5.363 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 5.363 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.363 * [taylor]: Taking taylor expansion of J in U 5.363 * [backup-simplify]: Simplify J into J 5.363 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 5.363 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 5.363 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 5.363 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 5.363 * [taylor]: Taking taylor expansion of -1/2 in U 5.363 * [backup-simplify]: Simplify -1/2 into -1/2 5.363 * [taylor]: Taking taylor expansion of K in U 5.363 * [backup-simplify]: Simplify K into K 5.363 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.363 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.363 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.363 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.364 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.364 * [backup-simplify]: Simplify (- 0) into 0 5.364 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.364 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.364 * [taylor]: Taking taylor expansion of U in U 5.364 * [backup-simplify]: Simplify 0 into 0 5.364 * [backup-simplify]: Simplify 1 into 1 5.364 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.364 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 5.365 * [backup-simplify]: Simplify (* 1 1) into 1 5.365 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 5.365 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 5.365 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 5.365 * [taylor]: Taking taylor expansion of 1/4 in U 5.365 * [backup-simplify]: Simplify 1/4 into 1/4 5.365 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 5.365 * [taylor]: Taking taylor expansion of (pow J 2) in U 5.365 * [taylor]: Taking taylor expansion of J in U 5.365 * [backup-simplify]: Simplify J into J 5.365 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 5.365 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 5.365 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 5.365 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 5.365 * [taylor]: Taking taylor expansion of -1/2 in U 5.366 * [backup-simplify]: Simplify -1/2 into -1/2 5.366 * [taylor]: Taking taylor expansion of K in U 5.366 * [backup-simplify]: Simplify K into K 5.366 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.366 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.366 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.366 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.366 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.366 * [backup-simplify]: Simplify (- 0) into 0 5.366 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.367 * [taylor]: Taking taylor expansion of (pow U 2) in U 5.367 * [taylor]: Taking taylor expansion of U in U 5.367 * [backup-simplify]: Simplify 0 into 0 5.367 * [backup-simplify]: Simplify 1 into 1 5.367 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.367 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 5.367 * [backup-simplify]: Simplify (* 1 1) into 1 5.367 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 5.367 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 5.368 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 5.368 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 5.368 * [taylor]: Taking taylor expansion of 1/4 in K 5.368 * [backup-simplify]: Simplify 1/4 into 1/4 5.368 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 5.368 * [taylor]: Taking taylor expansion of (pow J 2) in K 5.368 * [taylor]: Taking taylor expansion of J in K 5.368 * [backup-simplify]: Simplify J into J 5.368 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 5.368 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 5.368 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 5.368 * [taylor]: Taking taylor expansion of -1/2 in K 5.368 * [backup-simplify]: Simplify -1/2 into -1/2 5.368 * [taylor]: Taking taylor expansion of K in K 5.368 * [backup-simplify]: Simplify 0 into 0 5.368 * [backup-simplify]: Simplify 1 into 1 5.369 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.369 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.369 * [backup-simplify]: Simplify (* J J) into (pow J 2) 5.369 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 5.369 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 5.369 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 5.369 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 5.369 * [taylor]: Taking taylor expansion of 1/4 in J 5.369 * [backup-simplify]: Simplify 1/4 into 1/4 5.369 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 5.370 * [taylor]: Taking taylor expansion of (pow J 2) in J 5.370 * [taylor]: Taking taylor expansion of J in J 5.370 * [backup-simplify]: Simplify 0 into 0 5.370 * [backup-simplify]: Simplify 1 into 1 5.370 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 5.370 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 5.370 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 5.370 * [taylor]: Taking taylor expansion of -1/2 in J 5.370 * [backup-simplify]: Simplify -1/2 into -1/2 5.370 * [taylor]: Taking taylor expansion of K in J 5.370 * [backup-simplify]: Simplify K into K 5.370 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.370 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.370 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.370 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.370 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.371 * [backup-simplify]: Simplify (- 0) into 0 5.371 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.371 * [backup-simplify]: Simplify (* 1 1) into 1 5.371 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 5.371 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 5.372 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 5.372 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 5.372 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.372 * [backup-simplify]: Simplify (+ 0) into 0 5.373 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 5.373 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 5.373 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.374 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 5.374 * [backup-simplify]: Simplify (- 0) into 0 5.374 * [backup-simplify]: Simplify (+ 0 0) into 0 5.374 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 5.374 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 5.375 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 5.375 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 5.375 * [taylor]: Taking taylor expansion of 0 in K 5.375 * [backup-simplify]: Simplify 0 into 0 5.375 * [taylor]: Taking taylor expansion of 0 in J 5.375 * [backup-simplify]: Simplify 0 into 0 5.375 * [backup-simplify]: Simplify 0 into 0 5.375 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 5.375 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 5.376 * [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 5.376 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 5.376 * [taylor]: Taking taylor expansion of 0 in J 5.376 * [backup-simplify]: Simplify 0 into 0 5.376 * [backup-simplify]: Simplify 0 into 0 5.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.377 * [backup-simplify]: Simplify (+ 0) into 0 5.377 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 5.377 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 5.377 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.378 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 5.381 * [backup-simplify]: Simplify (- 0) into 0 5.382 * [backup-simplify]: Simplify (+ 0 0) into 0 5.382 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 5.382 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 5.382 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 5.382 * [backup-simplify]: Simplify 0 into 0 5.383 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 5.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.384 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.384 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 5.384 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 5.385 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.385 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 5.385 * [backup-simplify]: Simplify (- 0) into 0 5.386 * [backup-simplify]: Simplify (+ 0 0) into 0 5.386 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 5.386 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 5.387 * [backup-simplify]: 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 5.387 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 5.387 * [taylor]: Taking taylor expansion of 0 in K 5.387 * [backup-simplify]: Simplify 0 into 0 5.387 * [taylor]: Taking taylor expansion of 0 in J 5.387 * [backup-simplify]: Simplify 0 into 0 5.387 * [backup-simplify]: Simplify 0 into 0 5.387 * [taylor]: Taking taylor expansion of 0 in J 5.387 * [backup-simplify]: Simplify 0 into 0 5.388 * [backup-simplify]: Simplify 0 into 0 5.388 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 5.388 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 5.388 * [backup-simplify]: 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 5.389 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 5.389 * [taylor]: Taking taylor expansion of 0 in J 5.389 * [backup-simplify]: Simplify 0 into 0 5.389 * [backup-simplify]: Simplify 0 into 0 5.389 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)) (pow (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U))))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 5.390 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1 2) 5.390 * [backup-simplify]: Simplify (/ U (* (cos (/ K 2)) (* 2 J))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 5.390 * [approximate]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in (U K J) around 0 5.390 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J 5.390 * [taylor]: Taking taylor expansion of 1/2 in J 5.390 * [backup-simplify]: Simplify 1/2 into 1/2 5.390 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J 5.390 * [taylor]: Taking taylor expansion of U in J 5.390 * [backup-simplify]: Simplify U into U 5.390 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 5.390 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 5.390 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 5.390 * [taylor]: Taking taylor expansion of 1/2 in J 5.390 * [backup-simplify]: Simplify 1/2 into 1/2 5.390 * [taylor]: Taking taylor expansion of K in J 5.390 * [backup-simplify]: Simplify K into K 5.390 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.390 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.390 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.390 * [taylor]: Taking taylor expansion of J in J 5.390 * [backup-simplify]: Simplify 0 into 0 5.390 * [backup-simplify]: Simplify 1 into 1 5.390 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.390 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.390 * [backup-simplify]: Simplify (- 0) into 0 5.391 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.391 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 5.391 * [backup-simplify]: Simplify (+ 0) into 0 5.391 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 5.391 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 5.392 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.392 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 5.392 * [backup-simplify]: Simplify (- 0) into 0 5.393 * [backup-simplify]: Simplify (+ 0 0) into 0 5.393 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 5.393 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K))) 5.393 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K 5.393 * [taylor]: Taking taylor expansion of 1/2 in K 5.393 * [backup-simplify]: Simplify 1/2 into 1/2 5.393 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K 5.393 * [taylor]: Taking taylor expansion of U in K 5.393 * [backup-simplify]: Simplify U into U 5.393 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 5.393 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 5.393 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 5.393 * [taylor]: Taking taylor expansion of 1/2 in K 5.393 * [backup-simplify]: Simplify 1/2 into 1/2 5.393 * [taylor]: Taking taylor expansion of K in K 5.393 * [backup-simplify]: Simplify 0 into 0 5.393 * [backup-simplify]: Simplify 1 into 1 5.393 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.394 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.394 * [taylor]: Taking taylor expansion of J in K 5.394 * [backup-simplify]: Simplify J into J 5.394 * [backup-simplify]: Simplify (* 1 J) into J 5.394 * [backup-simplify]: Simplify (/ U J) into (/ U J) 5.394 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 5.394 * [taylor]: Taking taylor expansion of 1/2 in U 5.394 * [backup-simplify]: Simplify 1/2 into 1/2 5.394 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 5.394 * [taylor]: Taking taylor expansion of U in U 5.394 * [backup-simplify]: Simplify 0 into 0 5.394 * [backup-simplify]: Simplify 1 into 1 5.394 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 5.394 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 5.394 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 5.394 * [taylor]: Taking taylor expansion of 1/2 in U 5.394 * [backup-simplify]: Simplify 1/2 into 1/2 5.394 * [taylor]: Taking taylor expansion of K in U 5.394 * [backup-simplify]: Simplify K into K 5.394 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.394 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.394 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.394 * [taylor]: Taking taylor expansion of J in U 5.394 * [backup-simplify]: Simplify J into J 5.394 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.394 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.395 * [backup-simplify]: Simplify (- 0) into 0 5.395 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.395 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 5.395 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 5.395 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U 5.395 * [taylor]: Taking taylor expansion of 1/2 in U 5.395 * [backup-simplify]: Simplify 1/2 into 1/2 5.395 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U 5.395 * [taylor]: Taking taylor expansion of U in U 5.395 * [backup-simplify]: Simplify 0 into 0 5.395 * [backup-simplify]: Simplify 1 into 1 5.395 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 5.395 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 5.395 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 5.395 * [taylor]: Taking taylor expansion of 1/2 in U 5.395 * [backup-simplify]: Simplify 1/2 into 1/2 5.395 * [taylor]: Taking taylor expansion of K in U 5.395 * [backup-simplify]: Simplify K into K 5.395 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 5.395 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 5.395 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 5.395 * [taylor]: Taking taylor expansion of J in U 5.395 * [backup-simplify]: Simplify J into J 5.395 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 5.395 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 5.396 * [backup-simplify]: Simplify (- 0) into 0 5.396 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 5.396 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J) 5.396 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J)) 5.396 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) 5.396 * [taylor]: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in K 5.396 * [taylor]: Taking taylor expansion of 1/2 in K 5.396 * [backup-simplify]: Simplify 1/2 into 1/2 5.396 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 5.396 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 5.396 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 5.396 * [taylor]: Taking taylor expansion of 1/2 in K 5.396 * [backup-simplify]: Simplify 1/2 into 1/2 5.396 * [taylor]: Taking taylor expansion of K in K 5.396 * [backup-simplify]: Simplify 0 into 0 5.396 * [backup-simplify]: Simplify 1 into 1 5.396 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.397 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.397 * [taylor]: Taking taylor expansion of J in K 5.397 * [backup-simplify]: Simplify J into J 5.397 * [backup-simplify]: Simplify (* 1 J) into J 5.397 * [backup-simplify]: Simplify (/ 1/2 J) into (/ 1/2 J) 5.397 * [taylor]: Taking taylor expansion of (/ 1/2 J) in J 5.397 * [taylor]: Taking taylor expansion of 1/2 in J 5.397 * [backup-simplify]: Simplify 1/2 into 1/2 5.397 * [taylor]: Taking taylor expansion of J in J 5.397 * [backup-simplify]: Simplify 0 into 0 5.397 * [backup-simplify]: Simplify 1 into 1 5.397 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.397 * [backup-simplify]: Simplify 1/2 into 1/2 5.398 * [backup-simplify]: Simplify (+ 0) into 0 5.398 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 5.398 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 5.399 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.399 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 5.399 * [backup-simplify]: Simplify (- 0) into 0 5.400 * [backup-simplify]: Simplify (+ 0 0) into 0 5.400 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0 5.400 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0 5.400 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0 5.400 * [taylor]: Taking taylor expansion of 0 in K 5.400 * [backup-simplify]: Simplify 0 into 0 5.400 * [taylor]: Taking taylor expansion of 0 in J 5.400 * [backup-simplify]: Simplify 0 into 0 5.401 * [backup-simplify]: Simplify (+ 0) into 0 5.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 J)) into 0 5.401 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ 1/2 J) (/ 0 J)))) into 0 5.401 * [taylor]: Taking taylor expansion of 0 in J 5.401 * [backup-simplify]: Simplify 0 into 0 5.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.402 * [backup-simplify]: Simplify 0 into 0 5.402 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.403 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 5.403 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 5.404 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.404 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 5.404 * [backup-simplify]: Simplify (- 0) into 0 5.404 * [backup-simplify]: Simplify (+ 0 0) into 0 5.405 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0 5.405 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))))) into 0 5.406 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J))))) into 0 5.406 * [taylor]: Taking taylor expansion of 0 in K 5.406 * [backup-simplify]: Simplify 0 into 0 5.406 * [taylor]: Taking taylor expansion of 0 in J 5.406 * [backup-simplify]: Simplify 0 into 0 5.406 * [taylor]: Taking taylor expansion of 0 in J 5.406 * [backup-simplify]: Simplify 0 into 0 5.406 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8 5.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/8 J))) into (- (* 1/8 J)) 5.407 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ 1/2 J) (/ (- (* 1/8 J)) J)) (* 0 (/ 0 J)))) into (* 1/16 (/ 1 J)) 5.407 * [taylor]: Taking taylor expansion of (* 1/16 (/ 1 J)) in J 5.407 * [taylor]: Taking taylor expansion of 1/16 in J 5.407 * [backup-simplify]: Simplify 1/16 into 1/16 5.407 * [taylor]: Taking taylor expansion of (/ 1 J) in J 5.407 * [taylor]: Taking taylor expansion of J in J 5.407 * [backup-simplify]: Simplify 0 into 0 5.407 * [backup-simplify]: Simplify 1 into 1 5.407 * [backup-simplify]: Simplify (/ 1 1) into 1 5.408 * [backup-simplify]: Simplify (* 1/16 1) into 1/16 5.408 * [backup-simplify]: Simplify 1/16 into 1/16 5.408 * [backup-simplify]: Simplify 0 into 0 5.408 * [backup-simplify]: Simplify 0 into 0 5.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.408 * [backup-simplify]: Simplify 0 into 0 5.409 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.409 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.410 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 5.411 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 5.411 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 5.412 * [backup-simplify]: Simplify (- 0) into 0 5.412 * [backup-simplify]: Simplify (+ 0 0) into 0 5.413 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0 5.413 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))))) into 0 5.415 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))))) into 0 5.415 * [taylor]: Taking taylor expansion of 0 in K 5.415 * [backup-simplify]: Simplify 0 into 0 5.415 * [taylor]: Taking taylor expansion of 0 in J 5.415 * [backup-simplify]: Simplify 0 into 0 5.415 * [taylor]: Taking taylor expansion of 0 in J 5.415 * [backup-simplify]: Simplify 0 into 0 5.415 * [taylor]: Taking taylor expansion of 0 in J 5.415 * [backup-simplify]: Simplify 0 into 0 5.416 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.417 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/8 0) (* 0 J)))) into 0 5.419 * [backup-simplify]: Simplify (- (/ 0 J) (+ (* (/ 1/2 J) (/ 0 J)) (* 0 (/ (- (* 1/8 J)) J)) (* (* 1/16 (/ 1 J)) (/ 0 J)))) into 0 5.419 * [taylor]: Taking taylor expansion of 0 in J 5.419 * [backup-simplify]: Simplify 0 into 0 5.419 * [backup-simplify]: Simplify 0 into 0 5.419 * [backup-simplify]: Simplify 0 into 0 5.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.421 * [backup-simplify]: Simplify (+ (* 1/16 0) (* 0 1)) into 0 5.421 * [backup-simplify]: Simplify 0 into 0 5.421 * [backup-simplify]: Simplify (+ (* 1/16 (* (/ 1 J) (* (pow K 2) U))) (* 1/2 (* (/ 1 J) (* 1 U)))) into (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))) 5.421 * [backup-simplify]: Simplify (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J)))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 5.421 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in (U K J) around 0 5.421 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J 5.421 * [taylor]: Taking taylor expansion of 1/2 in J 5.421 * [backup-simplify]: Simplify 1/2 into 1/2 5.421 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J 5.421 * [taylor]: Taking taylor expansion of J in J 5.422 * [backup-simplify]: Simplify 0 into 0 5.422 * [backup-simplify]: Simplify 1 into 1 5.422 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J 5.422 * [taylor]: Taking taylor expansion of U in J 5.422 * [backup-simplify]: Simplify U into U 5.422 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 5.422 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 5.422 * [taylor]: Taking taylor expansion of 1/2 in J 5.422 * [backup-simplify]: Simplify 1/2 into 1/2 5.422 * [taylor]: Taking taylor expansion of K in J 5.422 * [backup-simplify]: Simplify K into K 5.422 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.422 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.422 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.422 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.422 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.423 * [backup-simplify]: Simplify (- 0) into 0 5.423 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.423 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 5.423 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K)))) 5.423 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K 5.423 * [taylor]: Taking taylor expansion of 1/2 in K 5.423 * [backup-simplify]: Simplify 1/2 into 1/2 5.423 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K 5.423 * [taylor]: Taking taylor expansion of J in K 5.423 * [backup-simplify]: Simplify J into J 5.423 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K 5.423 * [taylor]: Taking taylor expansion of U in K 5.423 * [backup-simplify]: Simplify U into U 5.423 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 5.423 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 5.423 * [taylor]: Taking taylor expansion of 1/2 in K 5.423 * [backup-simplify]: Simplify 1/2 into 1/2 5.423 * [taylor]: Taking taylor expansion of K in K 5.423 * [backup-simplify]: Simplify 0 into 0 5.423 * [backup-simplify]: Simplify 1 into 1 5.424 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.424 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.424 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) 5.424 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K)))) 5.424 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 5.424 * [taylor]: Taking taylor expansion of 1/2 in U 5.424 * [backup-simplify]: Simplify 1/2 into 1/2 5.424 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 5.424 * [taylor]: Taking taylor expansion of J in U 5.424 * [backup-simplify]: Simplify J into J 5.425 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 5.425 * [taylor]: Taking taylor expansion of U in U 5.425 * [backup-simplify]: Simplify 0 into 0 5.425 * [backup-simplify]: Simplify 1 into 1 5.425 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 5.425 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 5.425 * [taylor]: Taking taylor expansion of 1/2 in U 5.425 * [backup-simplify]: Simplify 1/2 into 1/2 5.425 * [taylor]: Taking taylor expansion of K in U 5.425 * [backup-simplify]: Simplify K into K 5.425 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.425 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.425 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.425 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.425 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.426 * [backup-simplify]: Simplify (- 0) into 0 5.426 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.426 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 5.426 * [backup-simplify]: Simplify (+ 0) into 0 5.427 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 5.427 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 5.428 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.428 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 5.429 * [backup-simplify]: Simplify (- 0) into 0 5.429 * [backup-simplify]: Simplify (+ 0 0) into 0 5.430 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 5.430 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 5.430 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U 5.430 * [taylor]: Taking taylor expansion of 1/2 in U 5.430 * [backup-simplify]: Simplify 1/2 into 1/2 5.430 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U 5.430 * [taylor]: Taking taylor expansion of J in U 5.430 * [backup-simplify]: Simplify J into J 5.430 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U 5.430 * [taylor]: Taking taylor expansion of U in U 5.430 * [backup-simplify]: Simplify 0 into 0 5.430 * [backup-simplify]: Simplify 1 into 1 5.430 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 5.430 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 5.430 * [taylor]: Taking taylor expansion of 1/2 in U 5.430 * [backup-simplify]: Simplify 1/2 into 1/2 5.430 * [taylor]: Taking taylor expansion of K in U 5.430 * [backup-simplify]: Simplify K into K 5.430 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.430 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.430 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.430 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.431 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.431 * [backup-simplify]: Simplify (- 0) into 0 5.431 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.431 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0 5.432 * [backup-simplify]: Simplify (+ 0) into 0 5.432 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 5.432 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 5.433 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.434 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 5.434 * [backup-simplify]: Simplify (- 0) into 0 5.434 * [backup-simplify]: Simplify (+ 0 0) into 0 5.435 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K)) 5.435 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 5.435 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 5.435 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 5.435 * [taylor]: Taking taylor expansion of 1/2 in K 5.435 * [backup-simplify]: Simplify 1/2 into 1/2 5.435 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 5.435 * [taylor]: Taking taylor expansion of J in K 5.435 * [backup-simplify]: Simplify J into J 5.435 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 5.435 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 5.435 * [taylor]: Taking taylor expansion of 1/2 in K 5.435 * [backup-simplify]: Simplify 1/2 into 1/2 5.435 * [taylor]: Taking taylor expansion of K in K 5.435 * [backup-simplify]: Simplify 0 into 0 5.435 * [backup-simplify]: Simplify 1 into 1 5.436 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.436 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.436 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 5.436 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 5.436 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 5.436 * [taylor]: Taking taylor expansion of 1/2 in J 5.436 * [backup-simplify]: Simplify 1/2 into 1/2 5.436 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 5.436 * [taylor]: Taking taylor expansion of J in J 5.436 * [backup-simplify]: Simplify 0 into 0 5.436 * [backup-simplify]: Simplify 1 into 1 5.436 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 5.436 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 5.437 * [taylor]: Taking taylor expansion of 1/2 in J 5.437 * [backup-simplify]: Simplify 1/2 into 1/2 5.437 * [taylor]: Taking taylor expansion of K in J 5.437 * [backup-simplify]: Simplify K into K 5.437 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 5.437 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 5.437 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 5.437 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 5.437 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 5.437 * [backup-simplify]: Simplify (- 0) into 0 5.438 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 5.438 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 5.438 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 5.438 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 5.439 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.440 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 5.440 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 5.441 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.442 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 5.442 * [backup-simplify]: Simplify (- 0) into 0 5.442 * [backup-simplify]: Simplify (+ 0 0) into 0 5.443 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0 5.444 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 5.444 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 5.444 * [taylor]: Taking taylor expansion of 0 in K 5.444 * [backup-simplify]: Simplify 0 into 0 5.444 * [taylor]: Taking taylor expansion of 0 in J 5.444 * [backup-simplify]: Simplify 0 into 0 5.444 * [backup-simplify]: Simplify 0 into 0 5.445 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 5.445 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 5.445 * [taylor]: Taking taylor expansion of 0 in J 5.445 * [backup-simplify]: Simplify 0 into 0 5.445 * [backup-simplify]: Simplify 0 into 0 5.446 * [backup-simplify]: Simplify (+ 0) into 0 5.446 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 5.446 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 5.447 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.448 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 5.448 * [backup-simplify]: Simplify (- 0) into 0 5.448 * [backup-simplify]: Simplify (+ 0 0) into 0 5.449 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 5.449 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 5.449 * [backup-simplify]: Simplify 0 into 0 5.450 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.451 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.451 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 5.453 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 5.454 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 5.454 * [backup-simplify]: Simplify (- 0) into 0 5.454 * [backup-simplify]: Simplify (+ 0 0) into 0 5.456 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 5.456 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 5.457 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 5.457 * [taylor]: Taking taylor expansion of 0 in K 5.457 * [backup-simplify]: Simplify 0 into 0 5.457 * [taylor]: Taking taylor expansion of 0 in J 5.457 * [backup-simplify]: Simplify 0 into 0 5.457 * [backup-simplify]: Simplify 0 into 0 5.457 * [taylor]: Taking taylor expansion of 0 in J 5.457 * [backup-simplify]: Simplify 0 into 0 5.457 * [backup-simplify]: Simplify 0 into 0 5.458 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 5.459 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 5.459 * [taylor]: Taking taylor expansion of 0 in J 5.459 * [backup-simplify]: Simplify 0 into 0 5.459 * [backup-simplify]: Simplify 0 into 0 5.459 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 5.459 * [backup-simplify]: Simplify (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J))))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 5.460 * [approximate]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in (U K J) around 0 5.460 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J 5.460 * [taylor]: Taking taylor expansion of 1/2 in J 5.460 * [backup-simplify]: Simplify 1/2 into 1/2 5.460 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J 5.460 * [taylor]: Taking taylor expansion of J in J 5.460 * [backup-simplify]: Simplify 0 into 0 5.460 * [backup-simplify]: Simplify 1 into 1 5.460 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J 5.460 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 5.460 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 5.460 * [taylor]: Taking taylor expansion of -1/2 in J 5.460 * [backup-simplify]: Simplify -1/2 into -1/2 5.460 * [taylor]: Taking taylor expansion of K in J 5.460 * [backup-simplify]: Simplify K into K 5.460 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.460 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.460 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.460 * [taylor]: Taking taylor expansion of U in J 5.460 * [backup-simplify]: Simplify U into U 5.460 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.460 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.461 * [backup-simplify]: Simplify (- 0) into 0 5.461 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.461 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 5.461 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U)) 5.461 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K 5.461 * [taylor]: Taking taylor expansion of 1/2 in K 5.461 * [backup-simplify]: Simplify 1/2 into 1/2 5.461 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K 5.462 * [taylor]: Taking taylor expansion of J in K 5.462 * [backup-simplify]: Simplify J into J 5.462 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K 5.462 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 5.462 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 5.462 * [taylor]: Taking taylor expansion of -1/2 in K 5.462 * [backup-simplify]: Simplify -1/2 into -1/2 5.462 * [taylor]: Taking taylor expansion of K in K 5.462 * [backup-simplify]: Simplify 0 into 0 5.462 * [backup-simplify]: Simplify 1 into 1 5.462 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.462 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.462 * [taylor]: Taking taylor expansion of U in K 5.462 * [backup-simplify]: Simplify U into U 5.463 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) 5.463 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U)) 5.463 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 5.463 * [taylor]: Taking taylor expansion of 1/2 in U 5.463 * [backup-simplify]: Simplify 1/2 into 1/2 5.463 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 5.463 * [taylor]: Taking taylor expansion of J in U 5.463 * [backup-simplify]: Simplify J into J 5.463 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 5.463 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 5.463 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 5.463 * [taylor]: Taking taylor expansion of -1/2 in U 5.463 * [backup-simplify]: Simplify -1/2 into -1/2 5.463 * [taylor]: Taking taylor expansion of K in U 5.463 * [backup-simplify]: Simplify K into K 5.463 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.463 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.463 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.463 * [taylor]: Taking taylor expansion of U in U 5.463 * [backup-simplify]: Simplify 0 into 0 5.463 * [backup-simplify]: Simplify 1 into 1 5.463 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.464 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.464 * [backup-simplify]: Simplify (- 0) into 0 5.464 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.464 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 5.465 * [backup-simplify]: Simplify (+ 0) into 0 5.465 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 5.465 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 5.466 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.467 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 5.467 * [backup-simplify]: Simplify (- 0) into 0 5.467 * [backup-simplify]: Simplify (+ 0 0) into 0 5.468 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 5.468 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 5.468 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U 5.468 * [taylor]: Taking taylor expansion of 1/2 in U 5.468 * [backup-simplify]: Simplify 1/2 into 1/2 5.468 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U 5.468 * [taylor]: Taking taylor expansion of J in U 5.468 * [backup-simplify]: Simplify J into J 5.468 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U 5.468 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 5.468 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 5.468 * [taylor]: Taking taylor expansion of -1/2 in U 5.468 * [backup-simplify]: Simplify -1/2 into -1/2 5.468 * [taylor]: Taking taylor expansion of K in U 5.468 * [backup-simplify]: Simplify K into K 5.468 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.468 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.468 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.468 * [taylor]: Taking taylor expansion of U in U 5.468 * [backup-simplify]: Simplify 0 into 0 5.468 * [backup-simplify]: Simplify 1 into 1 5.468 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.468 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.469 * [backup-simplify]: Simplify (- 0) into 0 5.469 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.469 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0 5.469 * [backup-simplify]: Simplify (+ 0) into 0 5.469 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 5.469 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 5.470 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.470 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 5.470 * [backup-simplify]: Simplify (- 0) into 0 5.471 * [backup-simplify]: Simplify (+ 0 0) into 0 5.471 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) 5.471 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 5.472 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 5.472 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 5.472 * [taylor]: Taking taylor expansion of 1/2 in K 5.472 * [backup-simplify]: Simplify 1/2 into 1/2 5.472 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 5.472 * [taylor]: Taking taylor expansion of J in K 5.472 * [backup-simplify]: Simplify J into J 5.472 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 5.472 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 5.472 * [taylor]: Taking taylor expansion of -1/2 in K 5.472 * [backup-simplify]: Simplify -1/2 into -1/2 5.472 * [taylor]: Taking taylor expansion of K in K 5.472 * [backup-simplify]: Simplify 0 into 0 5.472 * [backup-simplify]: Simplify 1 into 1 5.472 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 5.472 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.472 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 5.472 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 5.473 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 5.473 * [taylor]: Taking taylor expansion of 1/2 in J 5.473 * [backup-simplify]: Simplify 1/2 into 1/2 5.473 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 5.473 * [taylor]: Taking taylor expansion of J in J 5.473 * [backup-simplify]: Simplify 0 into 0 5.473 * [backup-simplify]: Simplify 1 into 1 5.473 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 5.473 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 5.473 * [taylor]: Taking taylor expansion of -1/2 in J 5.473 * [backup-simplify]: Simplify -1/2 into -1/2 5.473 * [taylor]: Taking taylor expansion of K in J 5.473 * [backup-simplify]: Simplify K into K 5.473 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 5.473 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 5.473 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 5.473 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 5.473 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 5.473 * [backup-simplify]: Simplify (- 0) into 0 5.473 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 5.473 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 5.473 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 5.474 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 5.474 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.475 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 5.475 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 5.475 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.476 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 5.476 * [backup-simplify]: Simplify (- 0) into 0 5.476 * [backup-simplify]: Simplify (+ 0 0) into 0 5.476 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 5.477 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 5.477 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 5.477 * [taylor]: Taking taylor expansion of 0 in K 5.477 * [backup-simplify]: Simplify 0 into 0 5.477 * [taylor]: Taking taylor expansion of 0 in J 5.477 * [backup-simplify]: Simplify 0 into 0 5.477 * [backup-simplify]: Simplify 0 into 0 5.477 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 5.478 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 5.478 * [taylor]: Taking taylor expansion of 0 in J 5.478 * [backup-simplify]: Simplify 0 into 0 5.478 * [backup-simplify]: Simplify 0 into 0 5.478 * [backup-simplify]: Simplify (+ 0) into 0 5.478 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 5.478 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 5.479 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.479 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 5.479 * [backup-simplify]: Simplify (- 0) into 0 5.480 * [backup-simplify]: Simplify (+ 0 0) into 0 5.480 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 5.480 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 5.480 * [backup-simplify]: Simplify 0 into 0 5.481 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.481 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.481 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 5.482 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 5.483 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 5.483 * [backup-simplify]: Simplify (- 0) into 0 5.483 * [backup-simplify]: Simplify (+ 0 0) into 0 5.484 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.484 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 5.484 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 5.484 * [taylor]: Taking taylor expansion of 0 in K 5.484 * [backup-simplify]: Simplify 0 into 0 5.484 * [taylor]: Taking taylor expansion of 0 in J 5.484 * [backup-simplify]: Simplify 0 into 0 5.484 * [backup-simplify]: Simplify 0 into 0 5.484 * [taylor]: Taking taylor expansion of 0 in J 5.485 * [backup-simplify]: Simplify 0 into 0 5.485 * [backup-simplify]: Simplify 0 into 0 5.485 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 5.485 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 5.485 * [taylor]: Taking taylor expansion of 0 in J 5.485 * [backup-simplify]: Simplify 0 into 0 5.485 * [backup-simplify]: Simplify 0 into 0 5.486 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 5.486 * * * [progress]: simplifying candidates 5.486 * * * * [progress]: [ 1 / 147 ] simplifiying candidate # 5.486 * * * * [progress]: [ 2 / 147 ] simplifiying candidate # 5.486 * * * * [progress]: [ 3 / 147 ] simplifiying candidate # 5.486 * * * * [progress]: [ 4 / 147 ] simplifiying candidate # 5.486 * * * * [progress]: [ 5 / 147 ] simplifiying candidate # 5.486 * * * * [progress]: [ 6 / 147 ] simplifiying candidate # 5.486 * * * * [progress]: [ 7 / 147 ] simplifiying candidate # 5.486 * * * * [progress]: [ 8 / 147 ] simplifiying candidate # 5.486 * * * * [progress]: [ 9 / 147 ] simplifiying candidate # 5.486 * * * * [progress]: [ 10 / 147 ] simplifiying candidate # 5.487 * * * * [progress]: [ 11 / 147 ] simplifiying candidate # 5.487 * * * * [progress]: [ 12 / 147 ] simplifiying candidate # 5.487 * * * * [progress]: [ 13 / 147 ] simplifiying candidate # 5.487 * * * * [progress]: [ 14 / 147 ] simplifiying candidate # 5.487 * * * * [progress]: [ 15 / 147 ] simplifiying candidate # 5.487 * * * * [progress]: [ 16 / 147 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))> 5.487 * * * * [progress]: [ 17 / 147 ] simplifiying candidate # 5.487 * * * * [progress]: [ 18 / 147 ] simplifiying candidate # 5.487 * * * * [progress]: [ 19 / 147 ] simplifiying candidate # 5.487 * * * * [progress]: [ 20 / 147 ] simplifiying candidate # 5.487 * * * * [progress]: [ 21 / 147 ] simplifiying candidate # 5.487 * * * * [progress]: [ 22 / 147 ] simplifiying candidate # 5.487 * * * * [progress]: [ 23 / 147 ] simplifiying candidate # 5.487 * * * * [progress]: [ 24 / 147 ] simplifiying candidate # 5.488 * * * * [progress]: [ 25 / 147 ] simplifiying candidate # 5.488 * * * * [progress]: [ 26 / 147 ] simplifiying candidate # 5.488 * * * * [progress]: [ 27 / 147 ] simplifiying candidate # 5.488 * * * * [progress]: [ 28 / 147 ] simplifiying candidate # 5.488 * * * * [progress]: [ 29 / 147 ] simplifiying candidate # 5.488 * * * * [progress]: [ 30 / 147 ] simplifiying candidate # 5.488 * * * * [progress]: [ 31 / 147 ] simplifiying candidate # 5.488 * * * * [progress]: [ 32 / 147 ] simplifiying candidate # 5.488 * * * * [progress]: [ 33 / 147 ] simplifiying candidate # 5.488 * * * * [progress]: [ 34 / 147 ] simplifiying candidate # 5.488 * * * * [progress]: [ 35 / 147 ] simplifiying candidate # 5.488 * * * * [progress]: [ 36 / 147 ] simplifiying candidate # 5.488 * * * * [progress]: [ 37 / 147 ] simplifiying candidate # 5.488 * * * * [progress]: [ 38 / 147 ] simplifiying candidate # 5.488 * * * * [progress]: [ 39 / 147 ] simplifiying candidate #real (real->posit16 (* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))> 5.488 * * * * [progress]: [ 40 / 147 ] simplifiying candidate # 5.488 * * * * [progress]: [ 41 / 147 ] simplifiying candidate # 5.488 * * * * [progress]: [ 42 / 147 ] simplifiying candidate # 5.488 * * * * [progress]: [ 43 / 147 ] simplifiying candidate # 5.488 * * * * [progress]: [ 44 / 147 ] simplifiying candidate # 5.488 * * * * [progress]: [ 45 / 147 ] simplifiying candidate # 5.489 * * * * [progress]: [ 46 / 147 ] simplifiying candidate # 5.489 * * * * [progress]: [ 47 / 147 ] simplifiying candidate # 5.489 * * * * [progress]: [ 48 / 147 ] simplifiying candidate # 5.489 * * * * [progress]: [ 49 / 147 ] simplifiying candidate # 5.489 * * * * [progress]: [ 50 / 147 ] simplifiying candidate # 5.489 * * * * [progress]: [ 51 / 147 ] simplifiying candidate # 5.489 * * * * [progress]: [ 52 / 147 ] simplifiying candidate # 5.489 * * * * [progress]: [ 53 / 147 ] simplifiying candidate # 5.489 * * * * [progress]: [ 54 / 147 ] simplifiying candidate # 5.489 * * * * [progress]: [ 55 / 147 ] simplifiying candidate # 5.489 * * * * [progress]: [ 56 / 147 ] simplifiying candidate # 5.489 * * * * [progress]: [ 57 / 147 ] simplifiying candidate # 5.489 * * * * [progress]: [ 58 / 147 ] simplifiying candidate # 5.489 * * * * [progress]: [ 59 / 147 ] simplifiying candidate # 5.489 * * * * [progress]: [ 60 / 147 ] simplifiying candidate # 5.489 * * * * [progress]: [ 61 / 147 ] simplifiying candidate # 5.489 * * * * [progress]: [ 62 / 147 ] simplifiying candidate # 5.489 * * * * [progress]: [ 63 / 147 ] simplifiying candidate # 5.489 * * * * [progress]: [ 64 / 147 ] simplifiying candidate # 5.489 * * * * [progress]: [ 65 / 147 ] simplifiying candidate # 5.490 * * * * [progress]: [ 66 / 147 ] simplifiying candidate # 5.490 * * * * [progress]: [ 67 / 147 ] simplifiying candidate # 5.490 * * * * [progress]: [ 68 / 147 ] simplifiying candidate # 5.490 * * * * [progress]: [ 69 / 147 ] simplifiying candidate # 5.490 * * * * [progress]: [ 70 / 147 ] simplifiying candidate # 5.490 * * * * [progress]: [ 71 / 147 ] simplifiying candidate # 5.490 * * * * [progress]: [ 72 / 147 ] simplifiying candidate # 5.490 * * * * [progress]: [ 73 / 147 ] simplifiying candidate # 5.490 * * * * [progress]: [ 74 / 147 ] simplifiying candidate # 5.490 * * * * [progress]: [ 75 / 147 ] simplifiying candidate # 5.490 * * * * [progress]: [ 76 / 147 ] simplifiying candidate # 5.490 * * * * [progress]: [ 77 / 147 ] simplifiying candidate # 5.490 * * * * [progress]: [ 78 / 147 ] simplifiying candidate # 5.490 * * * * [progress]: [ 79 / 147 ] simplifiying candidate # 5.490 * * * * [progress]: [ 80 / 147 ] simplifiying candidate # 5.490 * * * * [progress]: [ 81 / 147 ] simplifiying candidate # 5.490 * * * * [progress]: [ 82 / 147 ] simplifiying candidate # 5.490 * * * * [progress]: [ 83 / 147 ] simplifiying candidate # 5.490 * * * * [progress]: [ 84 / 147 ] simplifiying candidate # 5.490 * * * * [progress]: [ 85 / 147 ] simplifiying candidate # 5.491 * * * * [progress]: [ 86 / 147 ] simplifiying candidate # 5.491 * * * * [progress]: [ 87 / 147 ] simplifiying candidate # 5.491 * * * * [progress]: [ 88 / 147 ] simplifiying candidate # 5.491 * * * * [progress]: [ 89 / 147 ] simplifiying candidate # 5.491 * * * * [progress]: [ 90 / 147 ] simplifiying candidate # 5.491 * * * * [progress]: [ 91 / 147 ] simplifiying candidate # 5.491 * * * * [progress]: [ 92 / 147 ] simplifiying candidate # 5.491 * * * * [progress]: [ 93 / 147 ] simplifiying candidate # 5.491 * * * * [progress]: [ 94 / 147 ] simplifiying candidate # 5.491 * * * * [progress]: [ 95 / 147 ] simplifiying candidate # 5.491 * * * * [progress]: [ 96 / 147 ] simplifiying candidate # 5.491 * * * * [progress]: [ 97 / 147 ] simplifiying candidate # 5.491 * * * * [progress]: [ 98 / 147 ] simplifiying candidate # 5.491 * * * * [progress]: [ 99 / 147 ] simplifiying candidate # 5.491 * * * * [progress]: [ 100 / 147 ] simplifiying candidate # 5.491 * * * * [progress]: [ 101 / 147 ] simplifiying candidate # 5.491 * * * * [progress]: [ 102 / 147 ] simplifiying candidate # 5.491 * * * * [progress]: [ 103 / 147 ] simplifiying candidate # 5.491 * * * * [progress]: [ 104 / 147 ] simplifiying candidate # 5.491 * * * * [progress]: [ 105 / 147 ] simplifiying candidate # 5.491 * * * * [progress]: [ 106 / 147 ] simplifiying candidate # 5.491 * * * * [progress]: [ 107 / 147 ] simplifiying candidate # 5.492 * * * * [progress]: [ 108 / 147 ] simplifiying candidate # 5.492 * * * * [progress]: [ 109 / 147 ] simplifiying candidate # 5.492 * * * * [progress]: [ 110 / 147 ] simplifiying candidate #real (real->posit16 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) 1)))))> 5.492 * * * * [progress]: [ 111 / 147 ] simplifiying candidate # 5.492 * * * * [progress]: [ 112 / 147 ] simplifiying candidate # 5.492 * * * * [progress]: [ 113 / 147 ] simplifiying candidate # 5.492 * * * * [progress]: [ 114 / 147 ] simplifiying candidate # 5.492 * * * * [progress]: [ 115 / 147 ] simplifiying candidate # 5.492 * * * * [progress]: [ 116 / 147 ] simplifiying candidate # 5.492 * * * * [progress]: [ 117 / 147 ] simplifiying candidate # 5.492 * * * * [progress]: [ 118 / 147 ] simplifiying candidate # 5.492 * * * * [progress]: [ 119 / 147 ] simplifiying candidate # 5.492 * * * * [progress]: [ 120 / 147 ] simplifiying candidate # 5.492 * * * * [progress]: [ 121 / 147 ] simplifiying candidate # 5.492 * * * * [progress]: [ 122 / 147 ] simplifiying candidate # 5.492 * * * * [progress]: [ 123 / 147 ] simplifiying candidate # 5.492 * * * * [progress]: [ 124 / 147 ] simplifiying candidate # 5.492 * * * * [progress]: [ 125 / 147 ] simplifiying candidate # 5.492 * * * * [progress]: [ 126 / 147 ] simplifiying candidate # 5.492 * * * * [progress]: [ 127 / 147 ] simplifiying candidate # 5.492 * * * * [progress]: [ 128 / 147 ] simplifiying candidate # 5.492 * * * * [progress]: [ 129 / 147 ] simplifiying candidate # 5.492 * * * * [progress]: [ 130 / 147 ] simplifiying candidate # 5.493 * * * * [progress]: [ 131 / 147 ] simplifiying candidate # 5.493 * * * * [progress]: [ 132 / 147 ] simplifiying candidate # 5.493 * * * * [progress]: [ 133 / 147 ] simplifiying candidate # 5.493 * * * * [progress]: [ 134 / 147 ] simplifiying candidate # 5.493 * * * * [progress]: [ 135 / 147 ] simplifiying candidate #real (real->posit16 (/ U (* (cos (/ K 2)) (* 2 J)))))) 1)))))> 5.493 * * * * [progress]: [ 136 / 147 ] simplifiying candidate # 5.493 * * * * [progress]: [ 137 / 147 ] simplifiying candidate # 5.493 * * * * [progress]: [ 138 / 147 ] simplifiying candidate # 5.493 * * * * [progress]: [ 139 / 147 ] simplifiying candidate # 5.493 * * * * [progress]: [ 140 / 147 ] simplifiying candidate # 5.493 * * * * [progress]: [ 141 / 147 ] simplifiying candidate # 5.493 * * * * [progress]: [ 142 / 147 ] simplifiying candidate # 5.493 * * * * [progress]: [ 143 / 147 ] simplifiying candidate # 5.493 * * * * [progress]: [ 144 / 147 ] 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iteration complete: 2000 enodes 6.243 * * [simplify]: Extracting #0: cost 101 inf + 0 6.244 * * [simplify]: Extracting #1: cost 628 inf + 4 6.247 * * [simplify]: Extracting #2: cost 770 inf + 5635 6.251 * * [simplify]: Extracting #3: cost 762 inf + 13546 6.263 * * [simplify]: Extracting #4: cost 709 inf + 19438 6.278 * * [simplify]: Extracting #5: cost 572 inf + 50374 6.315 * * [simplify]: Extracting #6: cost 237 inf + 175519 6.365 * * [simplify]: Extracting #7: cost 56 inf + 252335 6.422 * * [simplify]: Extracting #8: cost 1 inf + 281361 6.516 * * [simplify]: Extracting #9: cost 0 inf + 281907 6.627 * [simplify]: Simplified to: (log (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1))) (exp (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1))) (* (cbrt (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1))) (cbrt (sqrt (+ (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) 1)))) (cbrt 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2)))) (cbrt (/ U (* (* (cos (/ K 2)) J) 2))) (* (* (/ U (* (* (cos (/ K 2)) J) 2)) (/ U (* (* (cos (/ K 2)) J) 2))) (/ U (* (* (cos (/ K 2)) J) 2))) (sqrt (/ U (* (* (cos (/ K 2)) J) 2))) (sqrt (/ U (* (* (cos (/ K 2)) J) 2))) (- U) (* (- (* 2 J)) (cos (/ K 2))) (/ (* (cbrt U) (cbrt U)) (cos (/ K 2))) (/ (/ (cbrt U) 2) J) (/ (sqrt U) (cos (/ K 2))) (/ (/ (sqrt U) 2) J) (/ 1 (cos (/ K 2))) (/ U (* 2 J)) (/ 1 (* (* (cos (/ K 2)) J) 2)) (/ (* (* (cos (/ K 2)) J) 2) U) (/ U (cos (/ K 2))) (/ (cos (/ K 2)) (/ (/ (cbrt U) 2) J)) (/ (cos (/ K 2)) (/ (/ (sqrt U) 2) J)) (/ (* (* (cos (/ K 2)) J) 2) U) (real->posit16 (/ U (* (* (cos (/ K 2)) J) 2))) 1 (* (/ U (* (cos (* 1/2 K)) J)) 1/2) (* (/ U (* (cos (* 1/2 K)) J)) 1/2) 0 (* -2 (* (cos (* 1/2 K)) J)) (* -2 (* (cos (* 1/2 K)) J)) (+ (/ (* (* 1/96 (* U U)) (* (* K K) (* K K))) (* J J)) (+ (* (/ (* U U) (* J J)) 1/4) (/ (* (* 1/16 (* U U)) (* K K)) (* J J)))) (* (/ 1/4 (* J J)) (/ (* U U) (* (cos (* 1/2 K)) (cos (* 1/2 K))))) (* (/ 1/4 (* J J)) (/ (* U U) (* (cos (* 1/2 K)) (cos (* 1/2 K))))) (+ (* 1/2 (/ U J)) (/ (* (* 1/16 (* K K)) U) J)) (* (/ U (* (cos (* 1/2 K)) J)) 1/2) (* (/ U (* (cos (* 1/2 K)) J)) 1/2) 6.661 * * * [progress]: adding candidates to table 7.569 * * [progress]: iteration 3 / 4 7.569 * * * [progress]: picking best candidate 7.621 * * * * [pick]: Picked # 7.621 * * * [progress]: localizing error 7.688 * * * [progress]: generating rewritten candidates 7.688 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 7.840 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 7.946 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 8.076 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 8.262 * * * [progress]: generating series expansions 8.262 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 8.262 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 8.262 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0 8.262 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 8.262 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 8.262 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 8.262 * [taylor]: Taking taylor expansion of 1/4 in J 8.262 * [backup-simplify]: Simplify 1/4 into 1/4 8.262 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 8.262 * [taylor]: Taking taylor expansion of (pow U 2) in J 8.262 * [taylor]: Taking taylor expansion of U in J 8.262 * [backup-simplify]: Simplify U into U 8.263 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 8.263 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 8.263 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 8.263 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 8.263 * [taylor]: Taking taylor expansion of 1/2 in J 8.263 * [backup-simplify]: Simplify 1/2 into 1/2 8.263 * [taylor]: Taking taylor expansion of K in J 8.263 * [backup-simplify]: Simplify K into K 8.263 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.263 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.263 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.263 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.263 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.263 * [backup-simplify]: Simplify (- 0) into 0 8.263 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.264 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.264 * [taylor]: Taking taylor expansion of J in J 8.264 * [backup-simplify]: Simplify 0 into 0 8.264 * [backup-simplify]: Simplify 1 into 1 8.264 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.264 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 8.264 * [backup-simplify]: Simplify (* 1 1) into 1 8.264 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 8.264 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 8.264 * [taylor]: Taking taylor expansion of 1 in J 8.264 * [backup-simplify]: Simplify 1 into 1 8.264 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 8.264 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 8.265 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 8.265 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 8.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.265 * [backup-simplify]: Simplify (+ 0) into 0 8.266 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.266 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 8.266 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.267 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 8.267 * [backup-simplify]: Simplify (- 0) into 0 8.267 * [backup-simplify]: Simplify (+ 0 0) into 0 8.267 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 8.268 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 8.268 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 8.268 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 8.269 * [backup-simplify]: Simplify (+ 0 0) into 0 8.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 8.269 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 8.269 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 8.269 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 8.269 * [taylor]: Taking taylor expansion of 1/4 in K 8.269 * [backup-simplify]: Simplify 1/4 into 1/4 8.269 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 8.269 * [taylor]: Taking taylor expansion of (pow U 2) in K 8.269 * [taylor]: Taking taylor expansion of U in K 8.269 * [backup-simplify]: Simplify U into U 8.269 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 8.269 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 8.269 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 8.269 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 8.269 * [taylor]: Taking taylor expansion of 1/2 in K 8.269 * [backup-simplify]: Simplify 1/2 into 1/2 8.269 * [taylor]: Taking taylor expansion of K in K 8.269 * [backup-simplify]: Simplify 0 into 0 8.269 * [backup-simplify]: Simplify 1 into 1 8.269 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.270 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.270 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.270 * [taylor]: Taking taylor expansion of J in K 8.270 * [backup-simplify]: Simplify J into J 8.270 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.270 * [backup-simplify]: Simplify (* 1 1) into 1 8.270 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.270 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 8.270 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 8.270 * [taylor]: Taking taylor expansion of 1 in K 8.270 * [backup-simplify]: Simplify 1 into 1 8.270 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 8.271 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 8.271 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 8.271 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 8.271 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.271 * [backup-simplify]: Simplify (+ 0) into 0 8.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 8.272 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 8.272 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 8.273 * [backup-simplify]: Simplify (+ 0 0) into 0 8.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 8.273 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 8.273 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 8.273 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 8.273 * [taylor]: Taking taylor expansion of 1/4 in U 8.273 * [backup-simplify]: Simplify 1/4 into 1/4 8.273 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 8.273 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.273 * [taylor]: Taking taylor expansion of U in U 8.273 * [backup-simplify]: Simplify 0 into 0 8.273 * [backup-simplify]: Simplify 1 into 1 8.273 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 8.273 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 8.273 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 8.273 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 8.273 * [taylor]: Taking taylor expansion of 1/2 in U 8.273 * [backup-simplify]: Simplify 1/2 into 1/2 8.273 * [taylor]: Taking taylor expansion of K in U 8.273 * [backup-simplify]: Simplify K into K 8.273 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.273 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.273 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.273 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.273 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.273 * [backup-simplify]: Simplify (- 0) into 0 8.274 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.274 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.274 * [taylor]: Taking taylor expansion of J in U 8.274 * [backup-simplify]: Simplify J into J 8.274 * [backup-simplify]: Simplify (* 1 1) into 1 8.274 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 8.274 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.274 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 8.274 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 8.274 * [taylor]: Taking taylor expansion of 1 in U 8.274 * [backup-simplify]: Simplify 1 into 1 8.275 * [backup-simplify]: Simplify (+ 0 1) into 1 8.275 * [backup-simplify]: Simplify (sqrt 1) into 1 8.276 * [backup-simplify]: Simplify (+ 0 0) into 0 8.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.276 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 8.276 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 8.276 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 8.276 * [taylor]: Taking taylor expansion of 1/4 in U 8.276 * [backup-simplify]: Simplify 1/4 into 1/4 8.276 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 8.276 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.276 * [taylor]: Taking taylor expansion of U in U 8.276 * [backup-simplify]: Simplify 0 into 0 8.276 * [backup-simplify]: Simplify 1 into 1 8.276 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 8.276 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 8.276 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 8.276 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 8.276 * [taylor]: Taking taylor expansion of 1/2 in U 8.276 * [backup-simplify]: Simplify 1/2 into 1/2 8.276 * [taylor]: Taking taylor expansion of K in U 8.276 * [backup-simplify]: Simplify K into K 8.276 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.276 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.277 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.277 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.277 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.277 * [backup-simplify]: Simplify (- 0) into 0 8.277 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.277 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.277 * [taylor]: Taking taylor expansion of J in U 8.277 * [backup-simplify]: Simplify J into J 8.277 * [backup-simplify]: Simplify (* 1 1) into 1 8.277 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 8.277 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.277 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 8.278 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 8.278 * [taylor]: Taking taylor expansion of 1 in U 8.278 * [backup-simplify]: Simplify 1 into 1 8.278 * [backup-simplify]: Simplify (+ 0 1) into 1 8.278 * [backup-simplify]: Simplify (sqrt 1) into 1 8.278 * [backup-simplify]: Simplify (+ 0 0) into 0 8.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.279 * [taylor]: Taking taylor expansion of 1 in K 8.279 * [backup-simplify]: Simplify 1 into 1 8.279 * [taylor]: Taking taylor expansion of 1 in J 8.279 * [backup-simplify]: Simplify 1 into 1 8.279 * [taylor]: Taking taylor expansion of 0 in K 8.279 * [backup-simplify]: Simplify 0 into 0 8.279 * [taylor]: Taking taylor expansion of 0 in J 8.279 * [backup-simplify]: Simplify 0 into 0 8.279 * [taylor]: Taking taylor expansion of 0 in J 8.279 * [backup-simplify]: Simplify 0 into 0 8.279 * [backup-simplify]: Simplify 1 into 1 8.279 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 8.279 * [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)))) 8.280 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 8.280 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 8.280 * [taylor]: Taking taylor expansion of 1/8 in K 8.280 * [backup-simplify]: Simplify 1/8 into 1/8 8.280 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 8.280 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 8.280 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 8.280 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 8.280 * [taylor]: Taking taylor expansion of 1/2 in K 8.280 * [backup-simplify]: Simplify 1/2 into 1/2 8.280 * [taylor]: Taking taylor expansion of K in K 8.280 * [backup-simplify]: Simplify 0 into 0 8.280 * [backup-simplify]: Simplify 1 into 1 8.281 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.281 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.281 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.281 * [taylor]: Taking taylor expansion of J in K 8.281 * [backup-simplify]: Simplify J into J 8.281 * [backup-simplify]: Simplify (* 1 1) into 1 8.281 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.282 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 8.282 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 8.282 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 8.282 * [taylor]: Taking taylor expansion of 1/8 in J 8.282 * [backup-simplify]: Simplify 1/8 into 1/8 8.282 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.282 * [taylor]: Taking taylor expansion of J in J 8.282 * [backup-simplify]: Simplify 0 into 0 8.282 * [backup-simplify]: Simplify 1 into 1 8.282 * [backup-simplify]: Simplify (* 1 1) into 1 8.282 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 8.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 8.283 * [backup-simplify]: Simplify 0 into 0 8.283 * [taylor]: Taking taylor expansion of 0 in J 8.283 * [backup-simplify]: Simplify 0 into 0 8.283 * [taylor]: Taking taylor expansion of 0 in J 8.283 * [backup-simplify]: Simplify 0 into 0 8.283 * [backup-simplify]: Simplify 0 into 0 8.283 * [backup-simplify]: Simplify 0 into 0 8.283 * [backup-simplify]: Simplify 0 into 0 8.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.284 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.284 * [backup-simplify]: Simplify (+ 0) into 0 8.285 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.285 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 8.286 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.287 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 8.287 * [backup-simplify]: Simplify (- 0) into 0 8.288 * [backup-simplify]: Simplify (+ 0 0) into 0 8.288 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 8.288 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 8.288 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 8.289 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 8.290 * [backup-simplify]: Simplify (+ 0 0) into 0 8.290 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 8.290 * [taylor]: Taking taylor expansion of 0 in K 8.290 * [backup-simplify]: Simplify 0 into 0 8.290 * [taylor]: Taking taylor expansion of 0 in J 8.290 * [backup-simplify]: Simplify 0 into 0 8.291 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.291 * [backup-simplify]: Simplify (+ 0) into 0 8.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 8.292 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 8.292 * [taylor]: Taking taylor expansion of 0 in J 8.292 * [backup-simplify]: Simplify 0 into 0 8.293 * [taylor]: Taking taylor expansion of 0 in J 8.293 * [backup-simplify]: Simplify 0 into 0 8.293 * [taylor]: Taking taylor expansion of 0 in J 8.293 * [backup-simplify]: Simplify 0 into 0 8.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.295 * [backup-simplify]: Simplify 0 into 0 8.295 * [backup-simplify]: Simplify 0 into 0 8.295 * [backup-simplify]: Simplify 1 into 1 8.295 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J)))) (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 8.295 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0 8.296 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 8.296 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 8.296 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 8.296 * [taylor]: Taking taylor expansion of 1/4 in J 8.296 * [backup-simplify]: Simplify 1/4 into 1/4 8.296 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 8.296 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.296 * [taylor]: Taking taylor expansion of J in J 8.296 * [backup-simplify]: Simplify 0 into 0 8.296 * [backup-simplify]: Simplify 1 into 1 8.296 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 8.296 * [taylor]: Taking taylor expansion of (pow U 2) in J 8.296 * [taylor]: Taking taylor expansion of U in J 8.296 * [backup-simplify]: Simplify U into U 8.296 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 8.296 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.296 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.296 * [taylor]: Taking taylor expansion of 1/2 in J 8.296 * [backup-simplify]: Simplify 1/2 into 1/2 8.296 * [taylor]: Taking taylor expansion of K in J 8.296 * [backup-simplify]: Simplify K into K 8.296 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.296 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.296 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.296 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.297 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.300 * [backup-simplify]: Simplify (- 0) into 0 8.300 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.300 * [backup-simplify]: Simplify (* 1 1) into 1 8.301 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.301 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.301 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 8.301 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 8.301 * [taylor]: Taking taylor expansion of 1 in J 8.301 * [backup-simplify]: Simplify 1 into 1 8.302 * [backup-simplify]: Simplify (+ 0 1) into 1 8.302 * [backup-simplify]: Simplify (sqrt 1) into 1 8.302 * [backup-simplify]: Simplify (+ 0 0) into 0 8.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.303 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 8.303 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 8.303 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 8.303 * [taylor]: Taking taylor expansion of 1/4 in K 8.303 * [backup-simplify]: Simplify 1/4 into 1/4 8.303 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 8.303 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.303 * [taylor]: Taking taylor expansion of J in K 8.303 * [backup-simplify]: Simplify J into J 8.303 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 8.303 * [taylor]: Taking taylor expansion of (pow U 2) in K 8.303 * [taylor]: Taking taylor expansion of U in K 8.304 * [backup-simplify]: Simplify U into U 8.304 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 8.304 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.304 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.304 * [taylor]: Taking taylor expansion of 1/2 in K 8.304 * [backup-simplify]: Simplify 1/2 into 1/2 8.304 * [taylor]: Taking taylor expansion of K in K 8.304 * [backup-simplify]: Simplify 0 into 0 8.304 * [backup-simplify]: Simplify 1 into 1 8.304 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.304 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.304 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.305 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.305 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.305 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 8.305 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 8.305 * [taylor]: Taking taylor expansion of 1 in K 8.305 * [backup-simplify]: Simplify 1 into 1 8.305 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 8.306 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 8.306 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 8.306 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.307 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 8.307 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 8.307 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 8.307 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 8.308 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 8.309 * [backup-simplify]: Simplify (+ 0 0) into 0 8.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 8.309 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 8.309 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 8.309 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 8.309 * [taylor]: Taking taylor expansion of 1/4 in U 8.309 * [backup-simplify]: Simplify 1/4 into 1/4 8.309 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 8.309 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.309 * [taylor]: Taking taylor expansion of J in U 8.309 * [backup-simplify]: Simplify J into J 8.309 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 8.309 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.309 * [taylor]: Taking taylor expansion of U in U 8.309 * [backup-simplify]: Simplify 0 into 0 8.309 * [backup-simplify]: Simplify 1 into 1 8.310 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 8.310 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.310 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.310 * [taylor]: Taking taylor expansion of 1/2 in U 8.310 * [backup-simplify]: Simplify 1/2 into 1/2 8.310 * [taylor]: Taking taylor expansion of K in U 8.310 * [backup-simplify]: Simplify K into K 8.310 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.310 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.310 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.310 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.310 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.310 * [backup-simplify]: Simplify (- 0) into 0 8.311 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.311 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.311 * [backup-simplify]: Simplify (* 1 1) into 1 8.311 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.311 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 8.311 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 8.311 * [taylor]: Taking taylor expansion of 1 in U 8.312 * [backup-simplify]: Simplify 1 into 1 8.312 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 8.312 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 8.312 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 8.312 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.313 * [backup-simplify]: Simplify (+ 0) into 0 8.313 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.313 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.314 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.315 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.315 * [backup-simplify]: Simplify (- 0) into 0 8.315 * [backup-simplify]: Simplify (+ 0 0) into 0 8.316 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 8.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 8.317 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 8.318 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 8.318 * [backup-simplify]: Simplify (+ 0 0) into 0 8.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 8.318 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 8.318 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 8.319 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 8.319 * [taylor]: Taking taylor expansion of 1/4 in U 8.319 * [backup-simplify]: Simplify 1/4 into 1/4 8.319 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 8.319 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.319 * [taylor]: Taking taylor expansion of J in U 8.319 * [backup-simplify]: Simplify J into J 8.319 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 8.319 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.319 * [taylor]: Taking taylor expansion of U in U 8.319 * [backup-simplify]: Simplify 0 into 0 8.319 * [backup-simplify]: Simplify 1 into 1 8.319 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 8.319 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.319 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.319 * [taylor]: Taking taylor expansion of 1/2 in U 8.319 * [backup-simplify]: Simplify 1/2 into 1/2 8.319 * [taylor]: Taking taylor expansion of K in U 8.319 * [backup-simplify]: Simplify K into K 8.319 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.319 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.319 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.319 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.319 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.320 * [backup-simplify]: Simplify (- 0) into 0 8.320 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.320 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.320 * [backup-simplify]: Simplify (* 1 1) into 1 8.320 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.321 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 8.321 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 8.321 * [taylor]: Taking taylor expansion of 1 in U 8.321 * [backup-simplify]: Simplify 1 into 1 8.321 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 8.321 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 8.321 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 8.321 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.322 * [backup-simplify]: Simplify (+ 0) into 0 8.322 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.323 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.323 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.324 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.324 * [backup-simplify]: Simplify (- 0) into 0 8.325 * [backup-simplify]: Simplify (+ 0 0) into 0 8.325 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 8.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 8.326 * [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))))) into 0 8.327 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 8.327 * [backup-simplify]: Simplify (+ 0 0) into 0 8.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 8.328 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 8.328 * [taylor]: Taking taylor expansion of 1/2 in K 8.328 * [backup-simplify]: Simplify 1/2 into 1/2 8.328 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 8.328 * [taylor]: Taking taylor expansion of J in K 8.328 * [backup-simplify]: Simplify J into J 8.328 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.328 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.328 * [taylor]: Taking taylor expansion of 1/2 in K 8.328 * [backup-simplify]: Simplify 1/2 into 1/2 8.328 * [taylor]: Taking taylor expansion of K in K 8.328 * [backup-simplify]: Simplify 0 into 0 8.328 * [backup-simplify]: Simplify 1 into 1 8.328 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.329 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.329 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 8.329 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 8.329 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 8.329 * [taylor]: Taking taylor expansion of 1/2 in J 8.329 * [backup-simplify]: Simplify 1/2 into 1/2 8.329 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 8.329 * [taylor]: Taking taylor expansion of J in J 8.329 * [backup-simplify]: Simplify 0 into 0 8.329 * [backup-simplify]: Simplify 1 into 1 8.329 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.329 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.329 * [taylor]: Taking taylor expansion of 1/2 in J 8.329 * [backup-simplify]: Simplify 1/2 into 1/2 8.329 * [taylor]: Taking taylor expansion of K in J 8.329 * [backup-simplify]: Simplify K into K 8.329 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.329 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.329 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.329 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.329 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.330 * [backup-simplify]: Simplify (- 0) into 0 8.330 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.330 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 8.330 * [taylor]: Taking taylor expansion of 0 in K 8.330 * [backup-simplify]: Simplify 0 into 0 8.330 * [taylor]: Taking taylor expansion of 0 in J 8.330 * [backup-simplify]: Simplify 0 into 0 8.330 * [backup-simplify]: Simplify 0 into 0 8.330 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 8.331 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 8.331 * [taylor]: Taking taylor expansion of 0 in J 8.331 * [backup-simplify]: Simplify 0 into 0 8.331 * [backup-simplify]: Simplify 0 into 0 8.331 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 8.331 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 8.332 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 8.333 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.333 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.334 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.334 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.335 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.335 * [backup-simplify]: Simplify (- 0) into 0 8.336 * [backup-simplify]: Simplify (+ 0 0) into 0 8.336 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 8.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 8.338 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 8.339 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 8.340 * [backup-simplify]: Simplify (+ 0 1) into 1 8.341 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 8.341 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 8.341 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.341 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.341 * [taylor]: Taking taylor expansion of 1/2 in K 8.341 * [backup-simplify]: Simplify 1/2 into 1/2 8.341 * [taylor]: Taking taylor expansion of K in K 8.341 * [backup-simplify]: Simplify 0 into 0 8.341 * [backup-simplify]: Simplify 1 into 1 8.341 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.341 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.341 * [taylor]: Taking taylor expansion of J in K 8.342 * [backup-simplify]: Simplify J into J 8.342 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 8.342 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 8.342 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.342 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.342 * [taylor]: Taking taylor expansion of 1/2 in J 8.342 * [backup-simplify]: Simplify 1/2 into 1/2 8.342 * [taylor]: Taking taylor expansion of K in J 8.342 * [backup-simplify]: Simplify K into K 8.342 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.342 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.342 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.342 * [taylor]: Taking taylor expansion of J in J 8.342 * [backup-simplify]: Simplify 0 into 0 8.342 * [backup-simplify]: Simplify 1 into 1 8.342 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.342 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.343 * [backup-simplify]: Simplify (- 0) into 0 8.343 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.343 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.343 * [backup-simplify]: Simplify (+ 0) into 0 8.344 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.344 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.344 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.345 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.345 * [backup-simplify]: Simplify (- 0) into 0 8.345 * [backup-simplify]: Simplify (+ 0 0) into 0 8.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 8.346 * [backup-simplify]: Simplify 0 into 0 8.346 * [taylor]: Taking taylor expansion of 0 in J 8.346 * [backup-simplify]: Simplify 0 into 0 8.346 * [backup-simplify]: Simplify 0 into 0 8.346 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 8.347 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 8.347 * [taylor]: Taking taylor expansion of 0 in J 8.347 * [backup-simplify]: Simplify 0 into 0 8.347 * [backup-simplify]: Simplify 0 into 0 8.347 * [backup-simplify]: Simplify 0 into 0 8.347 * [backup-simplify]: Simplify 0 into 0 8.347 * [backup-simplify]: Simplify (+ 0) into 0 8.347 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.347 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.348 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.348 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.348 * [backup-simplify]: Simplify (- 0) into 0 8.349 * [backup-simplify]: Simplify (+ 0 0) into 0 8.349 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 8.349 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 8.349 * [backup-simplify]: Simplify 0 into 0 8.349 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 8.350 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J))))) (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 8.350 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0 8.350 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 8.350 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 8.350 * [taylor]: Taking taylor expansion of 1 in J 8.350 * [backup-simplify]: Simplify 1 into 1 8.350 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 8.350 * [taylor]: Taking taylor expansion of 1/4 in J 8.350 * [backup-simplify]: Simplify 1/4 into 1/4 8.350 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 8.350 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.350 * [taylor]: Taking taylor expansion of J in J 8.350 * [backup-simplify]: Simplify 0 into 0 8.350 * [backup-simplify]: Simplify 1 into 1 8.350 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 8.350 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 8.350 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.350 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.350 * [taylor]: Taking taylor expansion of -1/2 in J 8.350 * [backup-simplify]: Simplify -1/2 into -1/2 8.350 * [taylor]: Taking taylor expansion of K in J 8.350 * [backup-simplify]: Simplify K into K 8.350 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.350 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.350 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.350 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.350 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.351 * [backup-simplify]: Simplify (- 0) into 0 8.351 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.351 * [taylor]: Taking taylor expansion of (pow U 2) in J 8.351 * [taylor]: Taking taylor expansion of U in J 8.351 * [backup-simplify]: Simplify U into U 8.351 * [backup-simplify]: Simplify (* 1 1) into 1 8.351 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.351 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.351 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 8.351 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 8.352 * [backup-simplify]: Simplify (+ 1 0) into 1 8.352 * [backup-simplify]: Simplify (sqrt 1) into 1 8.352 * [backup-simplify]: Simplify (+ 0 0) into 0 8.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.352 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 8.352 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 8.352 * [taylor]: Taking taylor expansion of 1 in K 8.353 * [backup-simplify]: Simplify 1 into 1 8.353 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 8.353 * [taylor]: Taking taylor expansion of 1/4 in K 8.353 * [backup-simplify]: Simplify 1/4 into 1/4 8.353 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 8.353 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.353 * [taylor]: Taking taylor expansion of J in K 8.353 * [backup-simplify]: Simplify J into J 8.353 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 8.353 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 8.353 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.353 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.353 * [taylor]: Taking taylor expansion of -1/2 in K 8.353 * [backup-simplify]: Simplify -1/2 into -1/2 8.353 * [taylor]: Taking taylor expansion of K in K 8.353 * [backup-simplify]: Simplify 0 into 0 8.353 * [backup-simplify]: Simplify 1 into 1 8.353 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.353 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.353 * [taylor]: Taking taylor expansion of (pow U 2) in K 8.353 * [taylor]: Taking taylor expansion of U in K 8.353 * [backup-simplify]: Simplify U into U 8.353 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.353 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.353 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.353 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 8.353 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 8.354 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 8.354 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 8.354 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 8.354 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.354 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 8.354 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 8.354 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 8.355 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 8.355 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 8.355 * [backup-simplify]: Simplify (+ 0 0) into 0 8.356 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 8.356 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 8.356 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 8.356 * [taylor]: Taking taylor expansion of 1 in U 8.356 * [backup-simplify]: Simplify 1 into 1 8.356 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 8.356 * [taylor]: Taking taylor expansion of 1/4 in U 8.356 * [backup-simplify]: Simplify 1/4 into 1/4 8.356 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 8.356 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.356 * [taylor]: Taking taylor expansion of J in U 8.356 * [backup-simplify]: Simplify J into J 8.356 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 8.356 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 8.356 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.356 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.356 * [taylor]: Taking taylor expansion of -1/2 in U 8.356 * [backup-simplify]: Simplify -1/2 into -1/2 8.356 * [taylor]: Taking taylor expansion of K in U 8.356 * [backup-simplify]: Simplify K into K 8.356 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.356 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.356 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.356 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.356 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.356 * [backup-simplify]: Simplify (- 0) into 0 8.356 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.356 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.357 * [taylor]: Taking taylor expansion of U in U 8.357 * [backup-simplify]: Simplify 0 into 0 8.357 * [backup-simplify]: Simplify 1 into 1 8.357 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.357 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.357 * [backup-simplify]: Simplify (* 1 1) into 1 8.357 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 8.357 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 8.357 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 8.357 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 8.357 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 8.358 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.358 * [backup-simplify]: Simplify (+ 0) into 0 8.358 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.359 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.359 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.359 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.360 * [backup-simplify]: Simplify (- 0) into 0 8.360 * [backup-simplify]: Simplify (+ 0 0) into 0 8.360 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 8.360 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 8.361 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 8.361 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 8.361 * [backup-simplify]: Simplify (+ 0 0) into 0 8.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 8.361 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 8.361 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 8.361 * [taylor]: Taking taylor expansion of 1 in U 8.361 * [backup-simplify]: Simplify 1 into 1 8.361 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 8.362 * [taylor]: Taking taylor expansion of 1/4 in U 8.362 * [backup-simplify]: Simplify 1/4 into 1/4 8.362 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 8.362 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.362 * [taylor]: Taking taylor expansion of J in U 8.362 * [backup-simplify]: Simplify J into J 8.362 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 8.362 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 8.362 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.362 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.362 * [taylor]: Taking taylor expansion of -1/2 in U 8.362 * [backup-simplify]: Simplify -1/2 into -1/2 8.362 * [taylor]: Taking taylor expansion of K in U 8.362 * [backup-simplify]: Simplify K into K 8.362 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.362 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.362 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.362 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.362 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.362 * [backup-simplify]: Simplify (- 0) into 0 8.362 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.362 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.362 * [taylor]: Taking taylor expansion of U in U 8.362 * [backup-simplify]: Simplify 0 into 0 8.362 * [backup-simplify]: Simplify 1 into 1 8.362 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.362 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.363 * [backup-simplify]: Simplify (* 1 1) into 1 8.363 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 8.363 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 8.363 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 8.363 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 8.363 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 8.363 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.364 * [backup-simplify]: Simplify (+ 0) into 0 8.364 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.364 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.365 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.365 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.365 * [backup-simplify]: Simplify (- 0) into 0 8.366 * [backup-simplify]: Simplify (+ 0 0) into 0 8.366 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 8.366 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 8.366 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 8.367 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 8.367 * [backup-simplify]: Simplify (+ 0 0) into 0 8.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 8.367 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 8.367 * [taylor]: Taking taylor expansion of 1/2 in K 8.367 * [backup-simplify]: Simplify 1/2 into 1/2 8.367 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 8.367 * [taylor]: Taking taylor expansion of J in K 8.367 * [backup-simplify]: Simplify J into J 8.367 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.367 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.367 * [taylor]: Taking taylor expansion of -1/2 in K 8.367 * [backup-simplify]: Simplify -1/2 into -1/2 8.367 * [taylor]: Taking taylor expansion of K in K 8.368 * [backup-simplify]: Simplify 0 into 0 8.368 * [backup-simplify]: Simplify 1 into 1 8.368 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.368 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.368 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 8.368 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 8.368 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 8.368 * [taylor]: Taking taylor expansion of 1/2 in J 8.368 * [backup-simplify]: Simplify 1/2 into 1/2 8.368 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 8.368 * [taylor]: Taking taylor expansion of J in J 8.368 * [backup-simplify]: Simplify 0 into 0 8.368 * [backup-simplify]: Simplify 1 into 1 8.368 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.368 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.368 * [taylor]: Taking taylor expansion of -1/2 in J 8.368 * [backup-simplify]: Simplify -1/2 into -1/2 8.368 * [taylor]: Taking taylor expansion of K in J 8.368 * [backup-simplify]: Simplify K into K 8.368 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.368 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.368 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.368 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.368 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.369 * [backup-simplify]: Simplify (- 0) into 0 8.369 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.369 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 8.369 * [taylor]: Taking taylor expansion of 0 in K 8.369 * [backup-simplify]: Simplify 0 into 0 8.369 * [taylor]: Taking taylor expansion of 0 in J 8.369 * [backup-simplify]: Simplify 0 into 0 8.369 * [backup-simplify]: Simplify 0 into 0 8.369 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 8.369 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 8.369 * [taylor]: Taking taylor expansion of 0 in J 8.369 * [backup-simplify]: Simplify 0 into 0 8.369 * [backup-simplify]: Simplify 0 into 0 8.369 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 8.370 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 8.370 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 8.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.371 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.371 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.371 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.372 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.372 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.372 * [backup-simplify]: Simplify (- 0) into 0 8.373 * [backup-simplify]: Simplify (+ 0 0) into 0 8.373 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 8.373 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 8.374 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 8.374 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 8.375 * [backup-simplify]: Simplify (+ 1 0) into 1 8.375 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 8.375 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 8.375 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.375 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.375 * [taylor]: Taking taylor expansion of -1/2 in K 8.375 * [backup-simplify]: Simplify -1/2 into -1/2 8.375 * [taylor]: Taking taylor expansion of K in K 8.375 * [backup-simplify]: Simplify 0 into 0 8.375 * [backup-simplify]: Simplify 1 into 1 8.376 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.376 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.376 * [taylor]: Taking taylor expansion of J in K 8.376 * [backup-simplify]: Simplify J into J 8.376 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 8.376 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 8.376 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.376 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.376 * [taylor]: Taking taylor expansion of -1/2 in J 8.376 * [backup-simplify]: Simplify -1/2 into -1/2 8.376 * [taylor]: Taking taylor expansion of K in J 8.376 * [backup-simplify]: Simplify K into K 8.376 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.376 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.376 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.376 * [taylor]: Taking taylor expansion of J in J 8.376 * [backup-simplify]: Simplify 0 into 0 8.376 * [backup-simplify]: Simplify 1 into 1 8.376 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.376 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.377 * [backup-simplify]: Simplify (- 0) into 0 8.377 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.377 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.377 * [backup-simplify]: Simplify (+ 0) into 0 8.378 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.378 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.379 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.379 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.380 * [backup-simplify]: Simplify (- 0) into 0 8.380 * [backup-simplify]: Simplify (+ 0 0) into 0 8.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 8.381 * [backup-simplify]: Simplify 0 into 0 8.381 * [taylor]: Taking taylor expansion of 0 in J 8.381 * [backup-simplify]: Simplify 0 into 0 8.381 * [backup-simplify]: Simplify 0 into 0 8.382 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 8.382 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 8.383 * [taylor]: Taking taylor expansion of 0 in J 8.383 * [backup-simplify]: Simplify 0 into 0 8.383 * [backup-simplify]: Simplify 0 into 0 8.383 * [backup-simplify]: Simplify 0 into 0 8.383 * [backup-simplify]: Simplify 0 into 0 8.383 * [backup-simplify]: Simplify (+ 0) into 0 8.384 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.384 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.385 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.385 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.385 * [backup-simplify]: Simplify (- 0) into 0 8.386 * [backup-simplify]: Simplify (+ 0 0) into 0 8.386 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 8.387 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 8.387 * [backup-simplify]: Simplify 0 into 0 8.387 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 8.387 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 8.387 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 8.387 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0 8.387 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 8.388 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 8.388 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 8.388 * [taylor]: Taking taylor expansion of 1/4 in J 8.388 * [backup-simplify]: Simplify 1/4 into 1/4 8.388 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 8.388 * [taylor]: Taking taylor expansion of (pow U 2) in J 8.388 * [taylor]: Taking taylor expansion of U in J 8.388 * [backup-simplify]: Simplify U into U 8.388 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 8.388 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 8.388 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 8.388 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 8.388 * [taylor]: Taking taylor expansion of 1/2 in J 8.388 * [backup-simplify]: Simplify 1/2 into 1/2 8.388 * [taylor]: Taking taylor expansion of K in J 8.388 * [backup-simplify]: Simplify K into K 8.388 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.388 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.388 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.388 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.388 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.389 * [backup-simplify]: Simplify (- 0) into 0 8.389 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.389 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.389 * [taylor]: Taking taylor expansion of J in J 8.389 * [backup-simplify]: Simplify 0 into 0 8.389 * [backup-simplify]: Simplify 1 into 1 8.389 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.389 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 8.390 * [backup-simplify]: Simplify (* 1 1) into 1 8.390 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 8.390 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 8.390 * [taylor]: Taking taylor expansion of 1 in J 8.390 * [backup-simplify]: Simplify 1 into 1 8.390 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 8.391 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 8.391 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 8.391 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 8.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.392 * [backup-simplify]: Simplify (+ 0) into 0 8.393 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.393 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 8.394 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.395 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 8.395 * [backup-simplify]: Simplify (- 0) into 0 8.395 * [backup-simplify]: Simplify (+ 0 0) into 0 8.396 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 8.396 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 8.397 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 8.397 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 8.398 * [backup-simplify]: Simplify (+ 0 0) into 0 8.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 8.398 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 8.398 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 8.398 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 8.398 * [taylor]: Taking taylor expansion of 1/4 in K 8.398 * [backup-simplify]: Simplify 1/4 into 1/4 8.398 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 8.398 * [taylor]: Taking taylor expansion of (pow U 2) in K 8.398 * [taylor]: Taking taylor expansion of U in K 8.398 * [backup-simplify]: Simplify U into U 8.398 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 8.399 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 8.399 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 8.399 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 8.399 * [taylor]: Taking taylor expansion of 1/2 in K 8.399 * [backup-simplify]: Simplify 1/2 into 1/2 8.399 * [taylor]: Taking taylor expansion of K in K 8.399 * [backup-simplify]: Simplify 0 into 0 8.399 * [backup-simplify]: Simplify 1 into 1 8.399 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.400 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.400 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.400 * [taylor]: Taking taylor expansion of J in K 8.400 * [backup-simplify]: Simplify J into J 8.400 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.400 * [backup-simplify]: Simplify (* 1 1) into 1 8.401 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.401 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 8.401 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 8.401 * [taylor]: Taking taylor expansion of 1 in K 8.401 * [backup-simplify]: Simplify 1 into 1 8.401 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 8.401 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 8.401 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 8.402 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 8.402 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.402 * [backup-simplify]: Simplify (+ 0) into 0 8.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 8.403 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 8.404 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 8.404 * [backup-simplify]: Simplify (+ 0 0) into 0 8.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 8.405 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 8.405 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 8.405 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 8.405 * [taylor]: Taking taylor expansion of 1/4 in U 8.405 * [backup-simplify]: Simplify 1/4 into 1/4 8.405 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 8.405 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.405 * [taylor]: Taking taylor expansion of U in U 8.405 * [backup-simplify]: Simplify 0 into 0 8.405 * [backup-simplify]: Simplify 1 into 1 8.405 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 8.405 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 8.405 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 8.405 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 8.405 * [taylor]: Taking taylor expansion of 1/2 in U 8.405 * [backup-simplify]: Simplify 1/2 into 1/2 8.405 * [taylor]: Taking taylor expansion of K in U 8.405 * [backup-simplify]: Simplify K into K 8.405 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.405 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.405 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.406 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.406 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.406 * [backup-simplify]: Simplify (- 0) into 0 8.406 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.406 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.406 * [taylor]: Taking taylor expansion of J in U 8.406 * [backup-simplify]: Simplify J into J 8.407 * [backup-simplify]: Simplify (* 1 1) into 1 8.407 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 8.407 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.407 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 8.407 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 8.407 * [taylor]: Taking taylor expansion of 1 in U 8.407 * [backup-simplify]: Simplify 1 into 1 8.408 * [backup-simplify]: Simplify (+ 0 1) into 1 8.408 * [backup-simplify]: Simplify (sqrt 1) into 1 8.408 * [backup-simplify]: Simplify (+ 0 0) into 0 8.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.409 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 8.409 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 8.409 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 8.409 * [taylor]: Taking taylor expansion of 1/4 in U 8.409 * [backup-simplify]: Simplify 1/4 into 1/4 8.409 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 8.409 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.409 * [taylor]: Taking taylor expansion of U in U 8.410 * [backup-simplify]: Simplify 0 into 0 8.410 * [backup-simplify]: Simplify 1 into 1 8.410 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 8.410 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 8.410 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 8.410 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 8.410 * [taylor]: Taking taylor expansion of 1/2 in U 8.410 * [backup-simplify]: Simplify 1/2 into 1/2 8.410 * [taylor]: Taking taylor expansion of K in U 8.410 * [backup-simplify]: Simplify K into K 8.410 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.410 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.410 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.410 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.410 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.411 * [backup-simplify]: Simplify (- 0) into 0 8.411 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.411 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.411 * [taylor]: Taking taylor expansion of J in U 8.411 * [backup-simplify]: Simplify J into J 8.411 * [backup-simplify]: Simplify (* 1 1) into 1 8.411 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 8.411 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.412 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 8.412 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 8.412 * [taylor]: Taking taylor expansion of 1 in U 8.412 * [backup-simplify]: Simplify 1 into 1 8.412 * [backup-simplify]: Simplify (+ 0 1) into 1 8.413 * [backup-simplify]: Simplify (sqrt 1) into 1 8.413 * [backup-simplify]: Simplify (+ 0 0) into 0 8.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.414 * [taylor]: Taking taylor expansion of 1 in K 8.414 * [backup-simplify]: Simplify 1 into 1 8.414 * [taylor]: Taking taylor expansion of 1 in J 8.414 * [backup-simplify]: Simplify 1 into 1 8.414 * [taylor]: Taking taylor expansion of 0 in K 8.414 * [backup-simplify]: Simplify 0 into 0 8.414 * [taylor]: Taking taylor expansion of 0 in J 8.414 * [backup-simplify]: Simplify 0 into 0 8.414 * [taylor]: Taking taylor expansion of 0 in J 8.414 * [backup-simplify]: Simplify 0 into 0 8.414 * [backup-simplify]: Simplify 1 into 1 8.415 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 8.415 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 8.416 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 8.416 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 8.416 * [taylor]: Taking taylor expansion of 1/8 in K 8.416 * [backup-simplify]: Simplify 1/8 into 1/8 8.416 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 8.416 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 8.416 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 8.416 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 8.416 * [taylor]: Taking taylor expansion of 1/2 in K 8.417 * [backup-simplify]: Simplify 1/2 into 1/2 8.417 * [taylor]: Taking taylor expansion of K in K 8.417 * [backup-simplify]: Simplify 0 into 0 8.417 * [backup-simplify]: Simplify 1 into 1 8.417 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.418 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.418 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.418 * [taylor]: Taking taylor expansion of J in K 8.418 * [backup-simplify]: Simplify J into J 8.418 * [backup-simplify]: Simplify (* 1 1) into 1 8.418 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.418 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 8.419 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 8.419 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 8.419 * [taylor]: Taking taylor expansion of 1/8 in J 8.419 * [backup-simplify]: Simplify 1/8 into 1/8 8.419 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.419 * [taylor]: Taking taylor expansion of J in J 8.419 * [backup-simplify]: Simplify 0 into 0 8.419 * [backup-simplify]: Simplify 1 into 1 8.419 * [backup-simplify]: Simplify (* 1 1) into 1 8.420 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 8.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 8.421 * [backup-simplify]: Simplify 0 into 0 8.421 * [taylor]: Taking taylor expansion of 0 in J 8.421 * [backup-simplify]: Simplify 0 into 0 8.421 * [taylor]: Taking taylor expansion of 0 in J 8.421 * [backup-simplify]: Simplify 0 into 0 8.421 * [backup-simplify]: Simplify 0 into 0 8.421 * [backup-simplify]: Simplify 0 into 0 8.422 * [backup-simplify]: Simplify 0 into 0 8.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.422 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.423 * [backup-simplify]: Simplify (+ 0) into 0 8.423 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 8.424 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 8.425 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.425 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 8.426 * [backup-simplify]: Simplify (- 0) into 0 8.426 * [backup-simplify]: Simplify (+ 0 0) into 0 8.426 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 8.426 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 8.427 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 8.427 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 8.428 * [backup-simplify]: Simplify (+ 0 0) into 0 8.428 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 8.429 * [taylor]: Taking taylor expansion of 0 in K 8.429 * [backup-simplify]: Simplify 0 into 0 8.429 * [taylor]: Taking taylor expansion of 0 in J 8.429 * [backup-simplify]: Simplify 0 into 0 8.429 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.429 * [backup-simplify]: Simplify (+ 0) into 0 8.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 8.430 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 8.431 * [taylor]: Taking taylor expansion of 0 in J 8.431 * [backup-simplify]: Simplify 0 into 0 8.431 * [taylor]: Taking taylor expansion of 0 in J 8.431 * [backup-simplify]: Simplify 0 into 0 8.431 * [taylor]: Taking taylor expansion of 0 in J 8.431 * [backup-simplify]: Simplify 0 into 0 8.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.437 * [backup-simplify]: Simplify 0 into 0 8.437 * [backup-simplify]: Simplify 0 into 0 8.437 * [backup-simplify]: Simplify 1 into 1 8.438 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J)))) (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 8.438 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0 8.438 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 8.438 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 8.438 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 8.438 * [taylor]: Taking taylor expansion of 1/4 in J 8.438 * [backup-simplify]: Simplify 1/4 into 1/4 8.438 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 8.438 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.438 * [taylor]: Taking taylor expansion of J in J 8.438 * [backup-simplify]: Simplify 0 into 0 8.438 * [backup-simplify]: Simplify 1 into 1 8.438 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 8.438 * [taylor]: Taking taylor expansion of (pow U 2) in J 8.438 * [taylor]: Taking taylor expansion of U in J 8.438 * [backup-simplify]: Simplify U into U 8.438 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 8.438 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.438 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.438 * [taylor]: Taking taylor expansion of 1/2 in J 8.438 * [backup-simplify]: Simplify 1/2 into 1/2 8.438 * [taylor]: Taking taylor expansion of K in J 8.438 * [backup-simplify]: Simplify K into K 8.438 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.439 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.439 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.439 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.439 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.439 * [backup-simplify]: Simplify (- 0) into 0 8.439 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.440 * [backup-simplify]: Simplify (* 1 1) into 1 8.440 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.440 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.440 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 8.440 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 8.440 * [taylor]: Taking taylor expansion of 1 in J 8.440 * [backup-simplify]: Simplify 1 into 1 8.441 * [backup-simplify]: Simplify (+ 0 1) into 1 8.441 * [backup-simplify]: Simplify (sqrt 1) into 1 8.442 * [backup-simplify]: Simplify (+ 0 0) into 0 8.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.442 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 8.442 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 8.442 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 8.442 * [taylor]: Taking taylor expansion of 1/4 in K 8.443 * [backup-simplify]: Simplify 1/4 into 1/4 8.443 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 8.443 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.443 * [taylor]: Taking taylor expansion of J in K 8.443 * [backup-simplify]: Simplify J into J 8.443 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 8.443 * [taylor]: Taking taylor expansion of (pow U 2) in K 8.443 * [taylor]: Taking taylor expansion of U in K 8.443 * [backup-simplify]: Simplify U into U 8.443 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 8.443 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.443 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.443 * [taylor]: Taking taylor expansion of 1/2 in K 8.443 * [backup-simplify]: Simplify 1/2 into 1/2 8.443 * [taylor]: Taking taylor expansion of K in K 8.443 * [backup-simplify]: Simplify 0 into 0 8.443 * [backup-simplify]: Simplify 1 into 1 8.443 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.444 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.444 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.444 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.444 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.444 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 8.444 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 8.444 * [taylor]: Taking taylor expansion of 1 in K 8.444 * [backup-simplify]: Simplify 1 into 1 8.445 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 8.445 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 8.445 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 8.446 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.446 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 8.446 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 8.446 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 8.447 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 8.448 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 8.448 * [backup-simplify]: Simplify (+ 0 0) into 0 8.449 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 8.449 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 8.449 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 8.449 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 8.449 * [taylor]: Taking taylor expansion of 1/4 in U 8.449 * [backup-simplify]: Simplify 1/4 into 1/4 8.449 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 8.449 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.449 * [taylor]: Taking taylor expansion of J in U 8.449 * [backup-simplify]: Simplify J into J 8.449 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 8.449 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.449 * [taylor]: Taking taylor expansion of U in U 8.449 * [backup-simplify]: Simplify 0 into 0 8.449 * [backup-simplify]: Simplify 1 into 1 8.449 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 8.449 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.449 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.449 * [taylor]: Taking taylor expansion of 1/2 in U 8.449 * [backup-simplify]: Simplify 1/2 into 1/2 8.449 * [taylor]: Taking taylor expansion of K in U 8.450 * [backup-simplify]: Simplify K into K 8.450 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.450 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.450 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.450 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.450 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.451 * [backup-simplify]: Simplify (- 0) into 0 8.451 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.451 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.451 * [backup-simplify]: Simplify (* 1 1) into 1 8.451 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.451 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 8.452 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 8.452 * [taylor]: Taking taylor expansion of 1 in U 8.452 * [backup-simplify]: Simplify 1 into 1 8.452 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 8.452 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 8.452 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 8.453 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.453 * [backup-simplify]: Simplify (+ 0) into 0 8.454 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.454 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.455 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.455 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.456 * [backup-simplify]: Simplify (- 0) into 0 8.456 * [backup-simplify]: Simplify (+ 0 0) into 0 8.456 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 8.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 8.458 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 8.458 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 8.459 * [backup-simplify]: Simplify (+ 0 0) into 0 8.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 8.459 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 8.459 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 8.459 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 8.459 * [taylor]: Taking taylor expansion of 1/4 in U 8.459 * [backup-simplify]: Simplify 1/4 into 1/4 8.459 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 8.459 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.459 * [taylor]: Taking taylor expansion of J in U 8.459 * [backup-simplify]: Simplify J into J 8.459 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 8.459 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.459 * [taylor]: Taking taylor expansion of U in U 8.459 * [backup-simplify]: Simplify 0 into 0 8.460 * [backup-simplify]: Simplify 1 into 1 8.460 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 8.460 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.460 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.460 * [taylor]: Taking taylor expansion of 1/2 in U 8.460 * [backup-simplify]: Simplify 1/2 into 1/2 8.460 * [taylor]: Taking taylor expansion of K in U 8.460 * [backup-simplify]: Simplify K into K 8.460 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.460 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.460 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.460 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.460 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.461 * [backup-simplify]: Simplify (- 0) into 0 8.461 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.461 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.461 * [backup-simplify]: Simplify (* 1 1) into 1 8.461 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.461 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 8.462 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 8.462 * [taylor]: Taking taylor expansion of 1 in U 8.462 * [backup-simplify]: Simplify 1 into 1 8.462 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 8.462 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 8.462 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 8.463 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.463 * [backup-simplify]: Simplify (+ 0) into 0 8.464 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.464 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.465 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.466 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.466 * [backup-simplify]: Simplify (- 0) into 0 8.466 * [backup-simplify]: Simplify (+ 0 0) into 0 8.467 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 8.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 8.468 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 8.469 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 8.470 * [backup-simplify]: Simplify (+ 0 0) into 0 8.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 8.470 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 8.470 * [taylor]: Taking taylor expansion of 1/2 in K 8.470 * [backup-simplify]: Simplify 1/2 into 1/2 8.470 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 8.470 * [taylor]: Taking taylor expansion of J in K 8.470 * [backup-simplify]: Simplify J into J 8.470 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.470 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.470 * [taylor]: Taking taylor expansion of 1/2 in K 8.470 * [backup-simplify]: Simplify 1/2 into 1/2 8.470 * [taylor]: Taking taylor expansion of K in K 8.470 * [backup-simplify]: Simplify 0 into 0 8.470 * [backup-simplify]: Simplify 1 into 1 8.471 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.471 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.471 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 8.471 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 8.471 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 8.471 * [taylor]: Taking taylor expansion of 1/2 in J 8.471 * [backup-simplify]: Simplify 1/2 into 1/2 8.471 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 8.471 * [taylor]: Taking taylor expansion of J in J 8.471 * [backup-simplify]: Simplify 0 into 0 8.471 * [backup-simplify]: Simplify 1 into 1 8.471 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.471 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.471 * [taylor]: Taking taylor expansion of 1/2 in J 8.472 * [backup-simplify]: Simplify 1/2 into 1/2 8.472 * [taylor]: Taking taylor expansion of K in J 8.472 * [backup-simplify]: Simplify K into K 8.472 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.472 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.472 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.472 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.472 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.473 * [backup-simplify]: Simplify (- 0) into 0 8.473 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.473 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 8.473 * [taylor]: Taking taylor expansion of 0 in K 8.473 * [backup-simplify]: Simplify 0 into 0 8.473 * [taylor]: Taking taylor expansion of 0 in J 8.473 * [backup-simplify]: Simplify 0 into 0 8.473 * [backup-simplify]: Simplify 0 into 0 8.473 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 8.474 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 8.474 * [taylor]: Taking taylor expansion of 0 in J 8.474 * [backup-simplify]: Simplify 0 into 0 8.474 * [backup-simplify]: Simplify 0 into 0 8.474 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 8.474 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 8.475 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 8.476 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.477 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.477 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.478 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.479 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.479 * [backup-simplify]: Simplify (- 0) into 0 8.480 * [backup-simplify]: Simplify (+ 0 0) into 0 8.481 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 8.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 8.484 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 8.485 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 8.485 * [backup-simplify]: Simplify (+ 0 1) into 1 8.486 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 8.486 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 8.486 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.486 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.486 * [taylor]: Taking taylor expansion of 1/2 in K 8.486 * [backup-simplify]: Simplify 1/2 into 1/2 8.486 * [taylor]: Taking taylor expansion of K in K 8.486 * [backup-simplify]: Simplify 0 into 0 8.486 * [backup-simplify]: Simplify 1 into 1 8.487 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.487 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.487 * [taylor]: Taking taylor expansion of J in K 8.487 * [backup-simplify]: Simplify J into J 8.487 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 8.487 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 8.487 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.487 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.487 * [taylor]: Taking taylor expansion of 1/2 in J 8.487 * [backup-simplify]: Simplify 1/2 into 1/2 8.487 * [taylor]: Taking taylor expansion of K in J 8.487 * [backup-simplify]: Simplify K into K 8.487 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.487 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.487 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.487 * [taylor]: Taking taylor expansion of J in J 8.487 * [backup-simplify]: Simplify 0 into 0 8.487 * [backup-simplify]: Simplify 1 into 1 8.487 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.487 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.488 * [backup-simplify]: Simplify (- 0) into 0 8.488 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.488 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.488 * [backup-simplify]: Simplify (+ 0) into 0 8.489 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.489 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.490 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.490 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.491 * [backup-simplify]: Simplify (- 0) into 0 8.491 * [backup-simplify]: Simplify (+ 0 0) into 0 8.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 8.492 * [backup-simplify]: Simplify 0 into 0 8.492 * [taylor]: Taking taylor expansion of 0 in J 8.492 * [backup-simplify]: Simplify 0 into 0 8.492 * [backup-simplify]: Simplify 0 into 0 8.492 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 8.493 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 8.493 * [taylor]: Taking taylor expansion of 0 in J 8.493 * [backup-simplify]: Simplify 0 into 0 8.493 * [backup-simplify]: Simplify 0 into 0 8.493 * [backup-simplify]: Simplify 0 into 0 8.493 * [backup-simplify]: Simplify 0 into 0 8.494 * [backup-simplify]: Simplify (+ 0) into 0 8.494 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.495 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.495 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.496 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.496 * [backup-simplify]: Simplify (- 0) into 0 8.497 * [backup-simplify]: Simplify (+ 0 0) into 0 8.497 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 8.498 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 8.498 * [backup-simplify]: Simplify 0 into 0 8.498 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 8.499 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J))))) (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 8.499 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0 8.499 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 8.499 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 8.499 * [taylor]: Taking taylor expansion of 1 in J 8.499 * [backup-simplify]: Simplify 1 into 1 8.499 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 8.499 * [taylor]: Taking taylor expansion of 1/4 in J 8.499 * [backup-simplify]: Simplify 1/4 into 1/4 8.499 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 8.499 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.499 * [taylor]: Taking taylor expansion of J in J 8.499 * [backup-simplify]: Simplify 0 into 0 8.499 * [backup-simplify]: Simplify 1 into 1 8.499 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 8.499 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 8.499 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.499 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.499 * [taylor]: Taking taylor expansion of -1/2 in J 8.499 * [backup-simplify]: Simplify -1/2 into -1/2 8.499 * [taylor]: Taking taylor expansion of K in J 8.499 * [backup-simplify]: Simplify K into K 8.499 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.499 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.499 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.499 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.500 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.500 * [backup-simplify]: Simplify (- 0) into 0 8.500 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.500 * [taylor]: Taking taylor expansion of (pow U 2) in J 8.500 * [taylor]: Taking taylor expansion of U in J 8.500 * [backup-simplify]: Simplify U into U 8.501 * [backup-simplify]: Simplify (* 1 1) into 1 8.501 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.501 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.501 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 8.501 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 8.502 * [backup-simplify]: Simplify (+ 1 0) into 1 8.502 * [backup-simplify]: Simplify (sqrt 1) into 1 8.502 * [backup-simplify]: Simplify (+ 0 0) into 0 8.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.503 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 8.503 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 8.503 * [taylor]: Taking taylor expansion of 1 in K 8.503 * [backup-simplify]: Simplify 1 into 1 8.503 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 8.503 * [taylor]: Taking taylor expansion of 1/4 in K 8.503 * [backup-simplify]: Simplify 1/4 into 1/4 8.503 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 8.503 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.503 * [taylor]: Taking taylor expansion of J in K 8.503 * [backup-simplify]: Simplify J into J 8.503 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 8.503 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 8.503 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.503 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.503 * [taylor]: Taking taylor expansion of -1/2 in K 8.503 * [backup-simplify]: Simplify -1/2 into -1/2 8.503 * [taylor]: Taking taylor expansion of K in K 8.503 * [backup-simplify]: Simplify 0 into 0 8.503 * [backup-simplify]: Simplify 1 into 1 8.504 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.504 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.504 * [taylor]: Taking taylor expansion of (pow U 2) in K 8.504 * [taylor]: Taking taylor expansion of U in K 8.504 * [backup-simplify]: Simplify U into U 8.504 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.504 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.504 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.504 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 8.504 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 8.504 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 8.505 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 8.505 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 8.505 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.505 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 8.505 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 8.505 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 8.506 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 8.506 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 8.506 * [backup-simplify]: Simplify (+ 0 0) into 0 8.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 8.507 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 8.507 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 8.507 * [taylor]: Taking taylor expansion of 1 in U 8.507 * [backup-simplify]: Simplify 1 into 1 8.507 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 8.507 * [taylor]: Taking taylor expansion of 1/4 in U 8.507 * [backup-simplify]: Simplify 1/4 into 1/4 8.507 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 8.507 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.507 * [taylor]: Taking taylor expansion of J in U 8.507 * [backup-simplify]: Simplify J into J 8.507 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 8.507 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 8.507 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.507 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.507 * [taylor]: Taking taylor expansion of -1/2 in U 8.507 * [backup-simplify]: Simplify -1/2 into -1/2 8.507 * [taylor]: Taking taylor expansion of K in U 8.507 * [backup-simplify]: Simplify K into K 8.507 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.507 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.507 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.507 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.507 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.507 * [backup-simplify]: Simplify (- 0) into 0 8.507 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.507 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.507 * [taylor]: Taking taylor expansion of U in U 8.507 * [backup-simplify]: Simplify 0 into 0 8.507 * [backup-simplify]: Simplify 1 into 1 8.508 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.508 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.508 * [backup-simplify]: Simplify (* 1 1) into 1 8.508 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 8.508 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 8.508 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 8.508 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 8.508 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 8.508 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.509 * [backup-simplify]: Simplify (+ 0) into 0 8.509 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.510 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.510 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.510 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.511 * [backup-simplify]: Simplify (- 0) into 0 8.511 * [backup-simplify]: Simplify (+ 0 0) into 0 8.511 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 8.511 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 8.511 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 8.512 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 8.512 * [backup-simplify]: Simplify (+ 0 0) into 0 8.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 8.512 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 8.512 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 8.512 * [taylor]: Taking taylor expansion of 1 in U 8.512 * [backup-simplify]: Simplify 1 into 1 8.512 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 8.512 * [taylor]: Taking taylor expansion of 1/4 in U 8.512 * [backup-simplify]: Simplify 1/4 into 1/4 8.512 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 8.512 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.512 * [taylor]: Taking taylor expansion of J in U 8.512 * [backup-simplify]: Simplify J into J 8.512 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 8.512 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 8.512 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.512 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.512 * [taylor]: Taking taylor expansion of -1/2 in U 8.512 * [backup-simplify]: Simplify -1/2 into -1/2 8.513 * [taylor]: Taking taylor expansion of K in U 8.513 * [backup-simplify]: Simplify K into K 8.513 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.513 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.513 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.513 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.513 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.513 * [backup-simplify]: Simplify (- 0) into 0 8.513 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.513 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.513 * [taylor]: Taking taylor expansion of U in U 8.513 * [backup-simplify]: Simplify 0 into 0 8.513 * [backup-simplify]: Simplify 1 into 1 8.513 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.513 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.514 * [backup-simplify]: Simplify (* 1 1) into 1 8.514 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 8.514 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 8.514 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 8.514 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 8.514 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 8.514 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.515 * [backup-simplify]: Simplify (+ 0) into 0 8.515 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.515 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.516 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.516 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.516 * [backup-simplify]: Simplify (- 0) into 0 8.517 * [backup-simplify]: Simplify (+ 0 0) into 0 8.517 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 8.517 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 8.517 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 8.518 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 8.518 * [backup-simplify]: Simplify (+ 0 0) into 0 8.518 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 8.518 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 8.518 * [taylor]: Taking taylor expansion of 1/2 in K 8.518 * [backup-simplify]: Simplify 1/2 into 1/2 8.518 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 8.518 * [taylor]: Taking taylor expansion of J in K 8.518 * [backup-simplify]: Simplify J into J 8.518 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.518 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.518 * [taylor]: Taking taylor expansion of -1/2 in K 8.518 * [backup-simplify]: Simplify -1/2 into -1/2 8.518 * [taylor]: Taking taylor expansion of K in K 8.518 * [backup-simplify]: Simplify 0 into 0 8.518 * [backup-simplify]: Simplify 1 into 1 8.519 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.519 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.519 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 8.519 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 8.519 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 8.519 * [taylor]: Taking taylor expansion of 1/2 in J 8.519 * [backup-simplify]: Simplify 1/2 into 1/2 8.519 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 8.519 * [taylor]: Taking taylor expansion of J in J 8.519 * [backup-simplify]: Simplify 0 into 0 8.519 * [backup-simplify]: Simplify 1 into 1 8.519 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.519 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.519 * [taylor]: Taking taylor expansion of -1/2 in J 8.519 * [backup-simplify]: Simplify -1/2 into -1/2 8.519 * [taylor]: Taking taylor expansion of K in J 8.519 * [backup-simplify]: Simplify K into K 8.519 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.519 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.519 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.519 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.519 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.519 * [backup-simplify]: Simplify (- 0) into 0 8.519 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.519 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 8.520 * [taylor]: Taking taylor expansion of 0 in K 8.520 * [backup-simplify]: Simplify 0 into 0 8.520 * [taylor]: Taking taylor expansion of 0 in J 8.520 * [backup-simplify]: Simplify 0 into 0 8.520 * [backup-simplify]: Simplify 0 into 0 8.520 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 8.520 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 8.520 * [taylor]: Taking taylor expansion of 0 in J 8.520 * [backup-simplify]: Simplify 0 into 0 8.520 * [backup-simplify]: Simplify 0 into 0 8.520 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 8.520 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 8.521 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 8.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.522 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.522 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.522 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.523 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.523 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.523 * [backup-simplify]: Simplify (- 0) into 0 8.523 * [backup-simplify]: Simplify (+ 0 0) into 0 8.524 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 8.524 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 8.524 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 8.525 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 8.525 * [backup-simplify]: Simplify (+ 1 0) into 1 8.526 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 8.526 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 8.526 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.526 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.526 * [taylor]: Taking taylor expansion of -1/2 in K 8.526 * [backup-simplify]: Simplify -1/2 into -1/2 8.526 * [taylor]: Taking taylor expansion of K in K 8.526 * [backup-simplify]: Simplify 0 into 0 8.526 * [backup-simplify]: Simplify 1 into 1 8.526 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.526 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.526 * [taylor]: Taking taylor expansion of J in K 8.526 * [backup-simplify]: Simplify J into J 8.526 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 8.527 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 8.527 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.527 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.527 * [taylor]: Taking taylor expansion of -1/2 in J 8.527 * [backup-simplify]: Simplify -1/2 into -1/2 8.527 * [taylor]: Taking taylor expansion of K in J 8.527 * [backup-simplify]: Simplify K into K 8.527 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.527 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.527 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.527 * [taylor]: Taking taylor expansion of J in J 8.527 * [backup-simplify]: Simplify 0 into 0 8.527 * [backup-simplify]: Simplify 1 into 1 8.527 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.527 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.527 * [backup-simplify]: Simplify (- 0) into 0 8.527 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.527 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.527 * [backup-simplify]: Simplify (+ 0) into 0 8.528 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.528 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.529 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.529 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.530 * [backup-simplify]: Simplify (- 0) into 0 8.530 * [backup-simplify]: Simplify (+ 0 0) into 0 8.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 8.531 * [backup-simplify]: Simplify 0 into 0 8.531 * [taylor]: Taking taylor expansion of 0 in J 8.531 * [backup-simplify]: Simplify 0 into 0 8.531 * [backup-simplify]: Simplify 0 into 0 8.532 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 8.533 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 8.533 * [taylor]: Taking taylor expansion of 0 in J 8.533 * [backup-simplify]: Simplify 0 into 0 8.533 * [backup-simplify]: Simplify 0 into 0 8.533 * [backup-simplify]: Simplify 0 into 0 8.533 * [backup-simplify]: Simplify 0 into 0 8.533 * [backup-simplify]: Simplify (+ 0) into 0 8.534 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.534 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.535 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.535 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.535 * [backup-simplify]: Simplify (- 0) into 0 8.536 * [backup-simplify]: Simplify (+ 0 0) into 0 8.536 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 8.537 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 8.537 * [backup-simplify]: Simplify 0 into 0 8.537 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 8.537 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 8.538 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) into (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) 8.538 * [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 K J) around 0 8.538 * [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 8.538 * [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 8.538 * [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 8.538 * [taylor]: Taking taylor expansion of 1/4 in J 8.538 * [backup-simplify]: Simplify 1/4 into 1/4 8.538 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 8.538 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 8.538 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 8.538 * [taylor]: Taking taylor expansion of 1/4 in J 8.538 * [backup-simplify]: Simplify 1/4 into 1/4 8.538 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 8.538 * [taylor]: Taking taylor expansion of (pow U 2) in J 8.538 * [taylor]: Taking taylor expansion of U in J 8.538 * [backup-simplify]: Simplify U into U 8.538 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 8.538 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 8.538 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 8.538 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 8.538 * [taylor]: Taking taylor expansion of 1/2 in J 8.538 * [backup-simplify]: Simplify 1/2 into 1/2 8.538 * [taylor]: Taking taylor expansion of K in J 8.538 * [backup-simplify]: Simplify K into K 8.538 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.538 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.539 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.539 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.539 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.539 * [backup-simplify]: Simplify (- 0) into 0 8.539 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.539 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.539 * [taylor]: Taking taylor expansion of J in J 8.539 * [backup-simplify]: Simplify 0 into 0 8.539 * [backup-simplify]: Simplify 1 into 1 8.539 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.540 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 8.540 * [backup-simplify]: Simplify (* 1 1) into 1 8.540 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 8.540 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 8.540 * [taylor]: Taking taylor expansion of 1 in J 8.540 * [backup-simplify]: Simplify 1 into 1 8.541 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 8.541 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 8.541 * [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)))) 8.542 * [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))) 8.542 * [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)))) 8.542 * [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))))) 8.542 * [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 8.542 * [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 8.542 * [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 8.543 * [taylor]: Taking taylor expansion of 1/4 in K 8.543 * [backup-simplify]: Simplify 1/4 into 1/4 8.543 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 8.543 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 8.543 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 8.543 * [taylor]: Taking taylor expansion of 1/4 in K 8.543 * [backup-simplify]: Simplify 1/4 into 1/4 8.543 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 8.543 * [taylor]: Taking taylor expansion of (pow U 2) in K 8.543 * [taylor]: Taking taylor expansion of U in K 8.543 * [backup-simplify]: Simplify U into U 8.543 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 8.543 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 8.543 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 8.543 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 8.543 * [taylor]: Taking taylor expansion of 1/2 in K 8.543 * [backup-simplify]: Simplify 1/2 into 1/2 8.543 * [taylor]: Taking taylor expansion of K in K 8.543 * [backup-simplify]: Simplify 0 into 0 8.543 * [backup-simplify]: Simplify 1 into 1 8.544 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.544 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.544 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.544 * [taylor]: Taking taylor expansion of J in K 8.544 * [backup-simplify]: Simplify J into J 8.544 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.545 * [backup-simplify]: Simplify (* 1 1) into 1 8.545 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.545 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 8.545 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 8.545 * [taylor]: Taking taylor expansion of 1 in K 8.545 * [backup-simplify]: Simplify 1 into 1 8.545 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 8.546 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 8.546 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 8.546 * [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))) 8.546 * [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) 8.546 * [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 8.546 * [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 8.547 * [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 8.547 * [taylor]: Taking taylor expansion of 1/4 in U 8.547 * [backup-simplify]: Simplify 1/4 into 1/4 8.547 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 8.547 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 8.547 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 8.547 * [taylor]: Taking taylor expansion of 1/4 in U 8.547 * [backup-simplify]: Simplify 1/4 into 1/4 8.547 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 8.547 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.547 * [taylor]: Taking taylor expansion of U in U 8.547 * [backup-simplify]: Simplify 0 into 0 8.547 * [backup-simplify]: Simplify 1 into 1 8.547 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 8.547 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 8.547 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 8.547 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 8.547 * [taylor]: Taking taylor expansion of 1/2 in U 8.547 * [backup-simplify]: Simplify 1/2 into 1/2 8.547 * [taylor]: Taking taylor expansion of K in U 8.547 * [backup-simplify]: Simplify K into K 8.547 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.548 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.548 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.548 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.548 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.548 * [backup-simplify]: Simplify (- 0) into 0 8.548 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.549 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.549 * [taylor]: Taking taylor expansion of J in U 8.549 * [backup-simplify]: Simplify J into J 8.549 * [backup-simplify]: Simplify (* 1 1) into 1 8.549 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 8.549 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.549 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 8.550 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 8.550 * [taylor]: Taking taylor expansion of 1 in U 8.550 * [backup-simplify]: Simplify 1 into 1 8.550 * [backup-simplify]: Simplify (+ 0 1) into 1 8.550 * [backup-simplify]: Simplify (log 1) into 0 8.551 * [backup-simplify]: Simplify (* 1/4 0) into 0 8.551 * [backup-simplify]: Simplify (+ 0 0) into 0 8.552 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.553 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 8.553 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 8.554 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 8.556 * [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))) 8.557 * [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)))) 8.557 * [backup-simplify]: Simplify (exp 0) into 1 8.557 * [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 8.557 * [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 8.557 * [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 8.557 * [taylor]: Taking taylor expansion of 1/4 in U 8.557 * [backup-simplify]: Simplify 1/4 into 1/4 8.557 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 8.557 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 8.557 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 8.557 * [taylor]: Taking taylor expansion of 1/4 in U 8.557 * [backup-simplify]: Simplify 1/4 into 1/4 8.557 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 8.557 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.557 * [taylor]: Taking taylor expansion of U in U 8.557 * [backup-simplify]: Simplify 0 into 0 8.557 * [backup-simplify]: Simplify 1 into 1 8.557 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 8.557 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 8.557 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 8.557 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 8.557 * [taylor]: Taking taylor expansion of 1/2 in U 8.557 * [backup-simplify]: Simplify 1/2 into 1/2 8.557 * [taylor]: Taking taylor expansion of K in U 8.557 * [backup-simplify]: Simplify K into K 8.557 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.557 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.558 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.558 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.558 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.558 * [backup-simplify]: Simplify (- 0) into 0 8.558 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.558 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.558 * [taylor]: Taking taylor expansion of J in U 8.558 * [backup-simplify]: Simplify J into J 8.559 * [backup-simplify]: Simplify (* 1 1) into 1 8.559 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 8.559 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.559 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 8.559 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 8.559 * [taylor]: Taking taylor expansion of 1 in U 8.559 * [backup-simplify]: Simplify 1 into 1 8.560 * [backup-simplify]: Simplify (+ 0 1) into 1 8.560 * [backup-simplify]: Simplify (log 1) into 0 8.561 * [backup-simplify]: Simplify (* 1/4 0) into 0 8.561 * [backup-simplify]: Simplify (+ 0 0) into 0 8.562 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.563 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 8.564 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 8.564 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 8.566 * [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))) 8.567 * [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)))) 8.567 * [backup-simplify]: Simplify (exp 0) into 1 8.567 * [taylor]: Taking taylor expansion of 1 in K 8.567 * [backup-simplify]: Simplify 1 into 1 8.567 * [taylor]: Taking taylor expansion of 1 in J 8.567 * [backup-simplify]: Simplify 1 into 1 8.567 * [backup-simplify]: Simplify 1 into 1 8.568 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 8.568 * [taylor]: Taking taylor expansion of 0 in K 8.568 * [backup-simplify]: Simplify 0 into 0 8.568 * [taylor]: Taking taylor expansion of 0 in J 8.568 * [backup-simplify]: Simplify 0 into 0 8.568 * [backup-simplify]: Simplify 0 into 0 8.568 * [taylor]: Taking taylor expansion of 0 in J 8.568 * [backup-simplify]: Simplify 0 into 0 8.568 * [backup-simplify]: Simplify 0 into 0 8.568 * [backup-simplify]: Simplify 0 into 0 8.569 * [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))) 8.569 * [taylor]: Taking taylor expansion of (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 8.569 * [taylor]: Taking taylor expansion of 1/16 in K 8.569 * [backup-simplify]: Simplify 1/16 into 1/16 8.569 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 8.569 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 8.569 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 8.569 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 8.569 * [taylor]: Taking taylor expansion of 1/2 in K 8.569 * [backup-simplify]: Simplify 1/2 into 1/2 8.569 * [taylor]: Taking taylor expansion of K in K 8.569 * [backup-simplify]: Simplify 0 into 0 8.569 * [backup-simplify]: Simplify 1 into 1 8.569 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.570 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.570 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.570 * [taylor]: Taking taylor expansion of J in K 8.570 * [backup-simplify]: Simplify J into J 8.570 * [backup-simplify]: Simplify (* 1 1) into 1 8.570 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.570 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 8.570 * [backup-simplify]: Simplify (/ 1/16 (pow J 2)) into (/ 1/16 (pow J 2)) 8.570 * [taylor]: Taking taylor expansion of (/ 1/16 (pow J 2)) in J 8.570 * [taylor]: Taking taylor expansion of 1/16 in J 8.570 * [backup-simplify]: Simplify 1/16 into 1/16 8.570 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.570 * [taylor]: Taking taylor expansion of J in J 8.570 * [backup-simplify]: Simplify 0 into 0 8.570 * [backup-simplify]: Simplify 1 into 1 8.570 * [backup-simplify]: Simplify (* 1 1) into 1 8.571 * [backup-simplify]: Simplify (/ 1/16 1) into 1/16 8.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/16 (/ 0 1)))) into 0 8.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.573 * [backup-simplify]: Simplify 0 into 0 8.573 * [taylor]: Taking taylor expansion of 0 in J 8.573 * [backup-simplify]: Simplify 0 into 0 8.573 * [backup-simplify]: Simplify 0 into 0 8.573 * [taylor]: Taking taylor expansion of 0 in J 8.573 * [backup-simplify]: Simplify 0 into 0 8.573 * [backup-simplify]: Simplify 0 into 0 8.573 * [backup-simplify]: Simplify 1 into 1 8.573 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J)))) (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J))))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) 8.573 * [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 K J) around 0 8.573 * [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 8.573 * [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 8.573 * [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 8.573 * [taylor]: Taking taylor expansion of 1/4 in J 8.573 * [backup-simplify]: Simplify 1/4 into 1/4 8.573 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 8.573 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 8.573 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 8.573 * [taylor]: Taking taylor expansion of 1/4 in J 8.573 * [backup-simplify]: Simplify 1/4 into 1/4 8.573 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 8.574 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.574 * [taylor]: Taking taylor expansion of J in J 8.574 * [backup-simplify]: Simplify 0 into 0 8.574 * [backup-simplify]: Simplify 1 into 1 8.574 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 8.574 * [taylor]: Taking taylor expansion of (pow U 2) in J 8.574 * [taylor]: Taking taylor expansion of U in J 8.574 * [backup-simplify]: Simplify U into U 8.574 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 8.574 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.574 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.574 * [taylor]: Taking taylor expansion of 1/2 in J 8.574 * [backup-simplify]: Simplify 1/2 into 1/2 8.574 * [taylor]: Taking taylor expansion of K in J 8.574 * [backup-simplify]: Simplify K into K 8.574 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.574 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.574 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.574 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.574 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.577 * [backup-simplify]: Simplify (- 0) into 0 8.577 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.578 * [backup-simplify]: Simplify (* 1 1) into 1 8.578 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.578 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.578 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 8.578 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 8.578 * [taylor]: Taking taylor expansion of 1 in J 8.578 * [backup-simplify]: Simplify 1 into 1 8.579 * [backup-simplify]: Simplify (+ 0 1) into 1 8.579 * [backup-simplify]: Simplify (log 1) into 0 8.579 * [backup-simplify]: Simplify (* 1/4 0) into 0 8.579 * [backup-simplify]: Simplify (+ 0 0) into 0 8.580 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.580 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 8.581 * [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))) 8.581 * [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)))) 8.582 * [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))) 8.582 * [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)))) 8.582 * [backup-simplify]: Simplify (exp 0) into 1 8.582 * [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 8.582 * [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 8.583 * [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 8.583 * [taylor]: Taking taylor expansion of 1/4 in K 8.583 * [backup-simplify]: Simplify 1/4 into 1/4 8.583 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 8.583 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 8.583 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 8.583 * [taylor]: Taking taylor expansion of 1/4 in K 8.583 * [backup-simplify]: Simplify 1/4 into 1/4 8.583 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 8.583 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.583 * [taylor]: Taking taylor expansion of J in K 8.583 * [backup-simplify]: Simplify J into J 8.583 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 8.583 * [taylor]: Taking taylor expansion of (pow U 2) in K 8.583 * [taylor]: Taking taylor expansion of U in K 8.583 * [backup-simplify]: Simplify U into U 8.583 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 8.583 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.583 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.583 * [taylor]: Taking taylor expansion of 1/2 in K 8.583 * [backup-simplify]: Simplify 1/2 into 1/2 8.583 * [taylor]: Taking taylor expansion of K in K 8.583 * [backup-simplify]: Simplify 0 into 0 8.583 * [backup-simplify]: Simplify 1 into 1 8.583 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.583 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.583 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.583 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.583 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.583 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 8.584 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 8.584 * [taylor]: Taking taylor expansion of 1 in K 8.584 * [backup-simplify]: Simplify 1 into 1 8.584 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 8.584 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 8.584 * [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)) 8.584 * [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))) 8.585 * [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) 8.585 * [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 8.585 * [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 8.585 * [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 8.585 * [taylor]: Taking taylor expansion of 1/4 in U 8.585 * [backup-simplify]: Simplify 1/4 into 1/4 8.585 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 8.585 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 8.585 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 8.585 * [taylor]: Taking taylor expansion of 1/4 in U 8.585 * [backup-simplify]: Simplify 1/4 into 1/4 8.585 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 8.585 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.585 * [taylor]: Taking taylor expansion of J in U 8.585 * [backup-simplify]: Simplify J into J 8.585 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 8.585 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.585 * [taylor]: Taking taylor expansion of U in U 8.585 * [backup-simplify]: Simplify 0 into 0 8.585 * [backup-simplify]: Simplify 1 into 1 8.585 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 8.585 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.585 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.585 * [taylor]: Taking taylor expansion of 1/2 in U 8.585 * [backup-simplify]: Simplify 1/2 into 1/2 8.585 * [taylor]: Taking taylor expansion of K in U 8.585 * [backup-simplify]: Simplify K into K 8.585 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.585 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.585 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.585 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.585 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.586 * [backup-simplify]: Simplify (- 0) into 0 8.586 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.586 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.586 * [backup-simplify]: Simplify (* 1 1) into 1 8.586 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.586 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 8.586 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 8.586 * [taylor]: Taking taylor expansion of 1 in U 8.586 * [backup-simplify]: Simplify 1 into 1 8.586 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 8.587 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 8.587 * [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)))) 8.587 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 8.587 * [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)))) 8.587 * [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))))) 8.588 * [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 8.588 * [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 8.588 * [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 8.588 * [taylor]: Taking taylor expansion of 1/4 in U 8.588 * [backup-simplify]: Simplify 1/4 into 1/4 8.588 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 8.588 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 8.588 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 8.588 * [taylor]: Taking taylor expansion of 1/4 in U 8.588 * [backup-simplify]: Simplify 1/4 into 1/4 8.588 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 8.588 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.588 * [taylor]: Taking taylor expansion of J in U 8.588 * [backup-simplify]: Simplify J into J 8.588 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 8.588 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.588 * [taylor]: Taking taylor expansion of U in U 8.588 * [backup-simplify]: Simplify 0 into 0 8.588 * [backup-simplify]: Simplify 1 into 1 8.588 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 8.588 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.588 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.588 * [taylor]: Taking taylor expansion of 1/2 in U 8.588 * [backup-simplify]: Simplify 1/2 into 1/2 8.588 * [taylor]: Taking taylor expansion of K in U 8.588 * [backup-simplify]: Simplify K into K 8.588 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.588 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.588 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.588 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.588 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.589 * [backup-simplify]: Simplify (- 0) into 0 8.589 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.589 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.589 * [backup-simplify]: Simplify (* 1 1) into 1 8.589 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.589 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 8.589 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 8.589 * [taylor]: Taking taylor expansion of 1 in U 8.589 * [backup-simplify]: Simplify 1 into 1 8.589 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 8.590 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 8.590 * [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)))) 8.590 * [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))) 8.590 * [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)))) 8.590 * [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))))) 8.591 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 8.591 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 8.591 * [taylor]: Taking taylor expansion of 1/4 in K 8.591 * [backup-simplify]: Simplify 1/4 into 1/4 8.591 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 8.591 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in K 8.591 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 8.591 * [taylor]: Taking taylor expansion of 1/4 in K 8.591 * [backup-simplify]: Simplify 1/4 into 1/4 8.591 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 8.591 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.591 * [taylor]: Taking taylor expansion of J in K 8.591 * [backup-simplify]: Simplify J into J 8.591 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 8.591 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.591 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.591 * [taylor]: Taking taylor expansion of 1/2 in K 8.591 * [backup-simplify]: Simplify 1/2 into 1/2 8.591 * [taylor]: Taking taylor expansion of K in K 8.591 * [backup-simplify]: Simplify 0 into 0 8.591 * [backup-simplify]: Simplify 1 into 1 8.591 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.591 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.591 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.591 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.591 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 8.592 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 8.592 * [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)))) 8.592 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 8.592 * [taylor]: Taking taylor expansion of 2 in K 8.592 * [backup-simplify]: Simplify 2 into 2 8.592 * [taylor]: Taking taylor expansion of (log U) in K 8.592 * [taylor]: Taking taylor expansion of U in K 8.592 * [backup-simplify]: Simplify U into U 8.592 * [backup-simplify]: Simplify (log U) into (log U) 8.592 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 8.592 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 8.592 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 8.592 * [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)))) 8.592 * [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))))) 8.592 * [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 8.592 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 8.592 * [taylor]: Taking taylor expansion of 1/4 in J 8.592 * [backup-simplify]: Simplify 1/4 into 1/4 8.592 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 8.593 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 8.593 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 8.593 * [taylor]: Taking taylor expansion of 1/4 in J 8.593 * [backup-simplify]: Simplify 1/4 into 1/4 8.593 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 8.593 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.593 * [taylor]: Taking taylor expansion of J in J 8.593 * [backup-simplify]: Simplify 0 into 0 8.593 * [backup-simplify]: Simplify 1 into 1 8.593 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 8.593 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.593 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.593 * [taylor]: Taking taylor expansion of 1/2 in J 8.593 * [backup-simplify]: Simplify 1/2 into 1/2 8.593 * [taylor]: Taking taylor expansion of K in J 8.593 * [backup-simplify]: Simplify K into K 8.593 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.593 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.593 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.593 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.593 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.593 * [backup-simplify]: Simplify (- 0) into 0 8.593 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.594 * [backup-simplify]: Simplify (* 1 1) into 1 8.594 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.594 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 8.594 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 8.594 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 8.594 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 8.594 * [taylor]: Taking taylor expansion of 2 in J 8.594 * [backup-simplify]: Simplify 2 into 2 8.594 * [taylor]: Taking taylor expansion of (log U) in J 8.594 * [taylor]: Taking taylor expansion of U in J 8.594 * [backup-simplify]: Simplify U into U 8.594 * [backup-simplify]: Simplify (log U) into (log U) 8.594 * [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)))) 8.594 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 8.595 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 8.595 * [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))) 8.595 * [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)))) 8.595 * [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))))) 8.595 * [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))))) 8.595 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.596 * [backup-simplify]: Simplify (+ 0) into 0 8.596 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.596 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.596 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.597 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.597 * [backup-simplify]: Simplify (- 0) into 0 8.598 * [backup-simplify]: Simplify (+ 0 0) into 0 8.598 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 8.598 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.598 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 8.599 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 8.599 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 8.599 * [backup-simplify]: Simplify (+ 0 0) into 0 8.600 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 8.600 * [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))) 8.601 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 8.601 * [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 8.601 * [taylor]: Taking taylor expansion of 0 in K 8.601 * [backup-simplify]: Simplify 0 into 0 8.601 * [taylor]: Taking taylor expansion of 0 in J 8.601 * [backup-simplify]: Simplify 0 into 0 8.601 * [backup-simplify]: Simplify 0 into 0 8.601 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.601 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 8.602 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 8.602 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 8.603 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 8.603 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 8.603 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 8.604 * [backup-simplify]: Simplify (- 0) into 0 8.604 * [backup-simplify]: Simplify (+ 0 0) into 0 8.605 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 8.606 * [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 8.606 * [taylor]: Taking taylor expansion of 0 in J 8.606 * [backup-simplify]: Simplify 0 into 0 8.606 * [backup-simplify]: Simplify 0 into 0 8.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.607 * [backup-simplify]: Simplify (+ 0) into 0 8.608 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.608 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.609 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.609 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.610 * [backup-simplify]: Simplify (- 0) into 0 8.610 * [backup-simplify]: Simplify (+ 0 0) into 0 8.610 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 8.611 * [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 8.611 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 8.612 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 8.613 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 8.613 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 8.614 * [backup-simplify]: Simplify (- 0) into 0 8.614 * [backup-simplify]: Simplify (+ 0 0) into 0 8.615 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 8.616 * [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 8.616 * [backup-simplify]: Simplify 0 into 0 8.616 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 8.617 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.618 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.618 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.619 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.620 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.620 * [backup-simplify]: Simplify (- 0) into 0 8.621 * [backup-simplify]: Simplify (+ 0 0) into 0 8.621 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 8.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 8.624 * [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 8.624 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 8.625 * [backup-simplify]: Simplify (+ 0 1) into 1 8.626 * [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))) 8.626 * [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))) 8.627 * [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)) 8.627 * [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)) 8.627 * [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 K 8.627 * [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 K 8.627 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 8.628 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 8.628 * [taylor]: Taking taylor expansion of 1/4 in K 8.628 * [backup-simplify]: Simplify 1/4 into 1/4 8.628 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 8.628 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in K 8.628 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 8.628 * [taylor]: Taking taylor expansion of 1/4 in K 8.628 * [backup-simplify]: Simplify 1/4 into 1/4 8.628 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 8.628 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.628 * [taylor]: Taking taylor expansion of J in K 8.628 * [backup-simplify]: Simplify J into J 8.628 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 8.628 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.628 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.628 * [taylor]: Taking taylor expansion of 1/2 in K 8.628 * [backup-simplify]: Simplify 1/2 into 1/2 8.628 * [taylor]: Taking taylor expansion of K in K 8.628 * [backup-simplify]: Simplify 0 into 0 8.628 * [backup-simplify]: Simplify 1 into 1 8.628 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.628 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.628 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.628 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.628 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 8.628 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 8.629 * [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)))) 8.629 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 8.629 * [taylor]: Taking taylor expansion of 2 in K 8.629 * [backup-simplify]: Simplify 2 into 2 8.629 * [taylor]: Taking taylor expansion of (log U) in K 8.629 * [taylor]: Taking taylor expansion of U in K 8.629 * [backup-simplify]: Simplify U into U 8.629 * [backup-simplify]: Simplify (log U) into (log U) 8.629 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 8.629 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 8.629 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 8.629 * [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)))) 8.629 * [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))))) 8.629 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 8.629 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.629 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.629 * [taylor]: Taking taylor expansion of 1/2 in K 8.629 * [backup-simplify]: Simplify 1/2 into 1/2 8.629 * [taylor]: Taking taylor expansion of K in K 8.629 * [backup-simplify]: Simplify 0 into 0 8.629 * [backup-simplify]: Simplify 1 into 1 8.630 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.630 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.630 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.630 * [taylor]: Taking taylor expansion of J in K 8.630 * [backup-simplify]: Simplify J into J 8.630 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.630 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 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)) 8.630 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.630 * [backup-simplify]: Simplify (/ (* (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)) 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)) 8.631 * [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 8.631 * [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 8.631 * [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 8.631 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 8.631 * [taylor]: Taking taylor expansion of 1/4 in J 8.631 * [backup-simplify]: Simplify 1/4 into 1/4 8.631 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 8.631 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 8.631 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 8.631 * [taylor]: Taking taylor expansion of 1/4 in J 8.631 * [backup-simplify]: Simplify 1/4 into 1/4 8.631 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 8.631 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.631 * [taylor]: Taking taylor expansion of J in J 8.631 * [backup-simplify]: Simplify 0 into 0 8.631 * [backup-simplify]: Simplify 1 into 1 8.631 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 8.631 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.631 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.631 * [taylor]: Taking taylor expansion of 1/2 in J 8.631 * [backup-simplify]: Simplify 1/2 into 1/2 8.631 * [taylor]: Taking taylor expansion of K in J 8.631 * [backup-simplify]: Simplify K into K 8.631 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.631 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.631 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.631 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.631 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.631 * [backup-simplify]: Simplify (- 0) into 0 8.631 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.632 * [backup-simplify]: Simplify (* 1 1) into 1 8.632 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.632 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 8.632 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 8.632 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 8.632 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 8.632 * [taylor]: Taking taylor expansion of 2 in J 8.632 * [backup-simplify]: Simplify 2 into 2 8.632 * [taylor]: Taking taylor expansion of (log U) in J 8.632 * [taylor]: Taking taylor expansion of U in J 8.632 * [backup-simplify]: Simplify U into U 8.632 * [backup-simplify]: Simplify (log U) into (log U) 8.633 * [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)))) 8.633 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 8.633 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 8.633 * [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))) 8.633 * [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)))) 8.633 * [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))))) 8.633 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 8.633 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.633 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.633 * [taylor]: Taking taylor expansion of 1/2 in J 8.633 * [backup-simplify]: Simplify 1/2 into 1/2 8.633 * [taylor]: Taking taylor expansion of K in J 8.633 * [backup-simplify]: Simplify K into K 8.633 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.633 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.633 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.633 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.633 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.634 * [backup-simplify]: Simplify (- 0) into 0 8.634 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.634 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.634 * [taylor]: Taking taylor expansion of J in J 8.634 * [backup-simplify]: Simplify 0 into 0 8.634 * [backup-simplify]: Simplify 1 into 1 8.634 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.634 * [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)) 8.634 * [backup-simplify]: Simplify (* 1 1) into 1 8.635 * [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)) 8.635 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.635 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.636 * [backup-simplify]: Simplify (+ 0) into 0 8.636 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.636 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.637 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.637 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.637 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.638 * [backup-simplify]: Simplify (- 0) into 0 8.638 * [backup-simplify]: Simplify (+ 0 0) into 0 8.638 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.639 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.639 * [backup-simplify]: Simplify (- 0) into 0 8.639 * [backup-simplify]: Simplify (+ 0 0) into 0 8.639 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 8.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.640 * [backup-simplify]: Simplify (+ 0) into 0 8.640 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.640 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.641 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.641 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.642 * [backup-simplify]: Simplify (- 0) into 0 8.642 * [backup-simplify]: Simplify (+ 0 0) into 0 8.642 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 8.642 * [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 8.642 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 8.643 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 8.644 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 8.644 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 8.644 * [backup-simplify]: Simplify (- 0) into 0 8.644 * [backup-simplify]: Simplify (+ 0 0) into 0 8.645 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 8.646 * [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 8.646 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 8.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.647 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.647 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.647 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.648 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.648 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.649 * [backup-simplify]: Simplify (- 0) into 0 8.649 * [backup-simplify]: Simplify (+ 0 0) into 0 8.649 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 8.649 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 8.650 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 8.651 * [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 8.652 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 8.653 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 8.653 * [backup-simplify]: Simplify (- 0) into 0 8.653 * [backup-simplify]: Simplify (+ 0 0) into 0 8.654 * [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 8.655 * [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 8.655 * [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 8.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.656 * [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 8.656 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.658 * [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 8.659 * [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 8.659 * [backup-simplify]: Simplify 0 into 0 8.659 * [taylor]: Taking taylor expansion of 0 in J 8.659 * [backup-simplify]: Simplify 0 into 0 8.659 * [backup-simplify]: Simplify 0 into 0 8.660 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 8.660 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 8.660 * [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))))) into 0 8.661 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 8.662 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into 0 8.663 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 8.664 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 8.664 * [backup-simplify]: Simplify (- 0) into 0 8.664 * [backup-simplify]: Simplify (+ 0 0) into 0 8.665 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 8.666 * [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 0 1) 1)))) into 0 8.666 * [taylor]: Taking taylor expansion of 0 in J 8.666 * [backup-simplify]: Simplify 0 into 0 8.666 * [backup-simplify]: Simplify 0 into 0 8.666 * [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)))))) 8.666 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J))))) (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))))) 1))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) 8.666 * [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 K J) around 0 8.667 * [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 8.667 * [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 8.667 * [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 8.667 * [taylor]: Taking taylor expansion of 1/4 in J 8.667 * [backup-simplify]: Simplify 1/4 into 1/4 8.667 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 8.667 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 8.667 * [taylor]: Taking taylor expansion of 1 in J 8.667 * [backup-simplify]: Simplify 1 into 1 8.667 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 8.667 * [taylor]: Taking taylor expansion of 1/4 in J 8.667 * [backup-simplify]: Simplify 1/4 into 1/4 8.667 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 8.667 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.667 * [taylor]: Taking taylor expansion of J in J 8.667 * [backup-simplify]: Simplify 0 into 0 8.667 * [backup-simplify]: Simplify 1 into 1 8.667 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 8.667 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 8.667 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.667 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.667 * [taylor]: Taking taylor expansion of -1/2 in J 8.667 * [backup-simplify]: Simplify -1/2 into -1/2 8.667 * [taylor]: Taking taylor expansion of K in J 8.667 * [backup-simplify]: Simplify K into K 8.667 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.667 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.667 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.667 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.667 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.667 * [backup-simplify]: Simplify (- 0) into 0 8.667 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.667 * [taylor]: Taking taylor expansion of (pow U 2) in J 8.667 * [taylor]: Taking taylor expansion of U in J 8.668 * [backup-simplify]: Simplify U into U 8.668 * [backup-simplify]: Simplify (* 1 1) into 1 8.668 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.668 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.668 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 8.668 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 8.669 * [backup-simplify]: Simplify (+ 1 0) into 1 8.669 * [backup-simplify]: Simplify (log 1) into 0 8.670 * [backup-simplify]: Simplify (* 1/4 0) into 0 8.670 * [backup-simplify]: Simplify (+ 0 0) into 0 8.671 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.672 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 8.672 * [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))) 8.673 * [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)))) 8.675 * [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))) 8.676 * [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)))) 8.676 * [backup-simplify]: Simplify (exp 0) into 1 8.676 * [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 8.676 * [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 8.676 * [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 8.676 * [taylor]: Taking taylor expansion of 1/4 in K 8.676 * [backup-simplify]: Simplify 1/4 into 1/4 8.676 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 8.676 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 8.676 * [taylor]: Taking taylor expansion of 1 in K 8.676 * [backup-simplify]: Simplify 1 into 1 8.676 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 8.676 * [taylor]: Taking taylor expansion of 1/4 in K 8.676 * [backup-simplify]: Simplify 1/4 into 1/4 8.676 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 8.676 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.676 * [taylor]: Taking taylor expansion of J in K 8.676 * [backup-simplify]: Simplify J into J 8.676 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 8.676 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 8.676 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.676 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.676 * [taylor]: Taking taylor expansion of -1/2 in K 8.676 * [backup-simplify]: Simplify -1/2 into -1/2 8.676 * [taylor]: Taking taylor expansion of K in K 8.676 * [backup-simplify]: Simplify 0 into 0 8.676 * [backup-simplify]: Simplify 1 into 1 8.677 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.677 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.677 * [taylor]: Taking taylor expansion of (pow U 2) in K 8.677 * [taylor]: Taking taylor expansion of U in K 8.677 * [backup-simplify]: Simplify U into U 8.677 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.677 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.677 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.677 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 8.678 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 8.678 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 8.678 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 8.679 * [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)))))) 8.679 * [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))))))) 8.680 * [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) 8.680 * [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 8.680 * [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 8.680 * [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 8.680 * [taylor]: Taking taylor expansion of 1/4 in U 8.680 * [backup-simplify]: Simplify 1/4 into 1/4 8.680 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 8.680 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 8.680 * [taylor]: Taking taylor expansion of 1 in U 8.680 * [backup-simplify]: Simplify 1 into 1 8.680 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 8.680 * [taylor]: Taking taylor expansion of 1/4 in U 8.680 * [backup-simplify]: Simplify 1/4 into 1/4 8.680 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 8.680 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.680 * [taylor]: Taking taylor expansion of J in U 8.680 * [backup-simplify]: Simplify J into J 8.680 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 8.680 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 8.680 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.680 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.680 * [taylor]: Taking taylor expansion of -1/2 in U 8.680 * [backup-simplify]: Simplify -1/2 into -1/2 8.680 * [taylor]: Taking taylor expansion of K in U 8.680 * [backup-simplify]: Simplify K into K 8.680 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.680 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.681 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.681 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.681 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.681 * [backup-simplify]: Simplify (- 0) into 0 8.681 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.681 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.681 * [taylor]: Taking taylor expansion of U in U 8.681 * [backup-simplify]: Simplify 0 into 0 8.681 * [backup-simplify]: Simplify 1 into 1 8.682 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.682 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.682 * [backup-simplify]: Simplify (* 1 1) into 1 8.682 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 8.682 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 8.683 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 8.683 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 8.683 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 8.684 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 8.684 * [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)))) 8.684 * [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))))) 8.685 * [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 8.685 * [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 8.685 * [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 8.685 * [taylor]: Taking taylor expansion of 1/4 in U 8.685 * [backup-simplify]: Simplify 1/4 into 1/4 8.685 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 8.685 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 8.685 * [taylor]: Taking taylor expansion of 1 in U 8.685 * [backup-simplify]: Simplify 1 into 1 8.685 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 8.685 * [taylor]: Taking taylor expansion of 1/4 in U 8.685 * [backup-simplify]: Simplify 1/4 into 1/4 8.685 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 8.685 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.685 * [taylor]: Taking taylor expansion of J in U 8.685 * [backup-simplify]: Simplify J into J 8.685 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 8.685 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 8.685 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.685 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.685 * [taylor]: Taking taylor expansion of -1/2 in U 8.685 * [backup-simplify]: Simplify -1/2 into -1/2 8.685 * [taylor]: Taking taylor expansion of K in U 8.685 * [backup-simplify]: Simplify K into K 8.685 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.685 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.685 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.685 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.686 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.690 * [backup-simplify]: Simplify (- 0) into 0 8.690 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.690 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.690 * [taylor]: Taking taylor expansion of U in U 8.690 * [backup-simplify]: Simplify 0 into 0 8.690 * [backup-simplify]: Simplify 1 into 1 8.691 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.691 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.691 * [backup-simplify]: Simplify (* 1 1) into 1 8.692 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 8.692 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 8.692 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 8.692 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 8.692 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) 8.693 * [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))) 8.693 * [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)))) 8.694 * [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))))) 8.694 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 8.694 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 8.694 * [taylor]: Taking taylor expansion of 1/4 in K 8.694 * [backup-simplify]: Simplify 1/4 into 1/4 8.694 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 8.694 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in K 8.694 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 8.694 * [taylor]: Taking taylor expansion of 1/4 in K 8.694 * [backup-simplify]: Simplify 1/4 into 1/4 8.694 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 8.694 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.694 * [taylor]: Taking taylor expansion of J in K 8.694 * [backup-simplify]: Simplify J into J 8.694 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 8.694 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.694 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.694 * [taylor]: Taking taylor expansion of -1/2 in K 8.694 * [backup-simplify]: Simplify -1/2 into -1/2 8.694 * [taylor]: Taking taylor expansion of K in K 8.694 * [backup-simplify]: Simplify 0 into 0 8.694 * [backup-simplify]: Simplify 1 into 1 8.695 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.695 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.695 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.695 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.695 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 8.696 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 8.696 * [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)))) 8.696 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 8.696 * [taylor]: Taking taylor expansion of 2 in K 8.696 * [backup-simplify]: Simplify 2 into 2 8.696 * [taylor]: Taking taylor expansion of (log U) in K 8.696 * [taylor]: Taking taylor expansion of U in K 8.696 * [backup-simplify]: Simplify U into U 8.696 * [backup-simplify]: Simplify (log U) into (log U) 8.696 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 8.696 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 8.696 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 8.697 * [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)))) 8.697 * [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))))) 8.697 * [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 8.697 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 8.697 * [taylor]: Taking taylor expansion of 1/4 in J 8.697 * [backup-simplify]: Simplify 1/4 into 1/4 8.697 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 8.697 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 8.697 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 8.697 * [taylor]: Taking taylor expansion of 1/4 in J 8.697 * [backup-simplify]: Simplify 1/4 into 1/4 8.697 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 8.697 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.697 * [taylor]: Taking taylor expansion of J in J 8.697 * [backup-simplify]: Simplify 0 into 0 8.697 * [backup-simplify]: Simplify 1 into 1 8.697 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 8.698 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.698 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.698 * [taylor]: Taking taylor expansion of -1/2 in J 8.698 * [backup-simplify]: Simplify -1/2 into -1/2 8.698 * [taylor]: Taking taylor expansion of K in J 8.698 * [backup-simplify]: Simplify K into K 8.698 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.698 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.698 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.698 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.698 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.699 * [backup-simplify]: Simplify (- 0) into 0 8.699 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.699 * [backup-simplify]: Simplify (* 1 1) into 1 8.699 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.700 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 8.700 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 8.700 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 8.700 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 8.700 * [taylor]: Taking taylor expansion of 2 in J 8.700 * [backup-simplify]: Simplify 2 into 2 8.700 * [taylor]: Taking taylor expansion of (log U) in J 8.700 * [taylor]: Taking taylor expansion of U in J 8.700 * [backup-simplify]: Simplify U into U 8.700 * [backup-simplify]: Simplify (log U) into (log U) 8.701 * [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)))) 8.701 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 8.701 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 8.701 * [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))) 8.701 * [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)))) 8.702 * [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))))) 8.702 * [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))))) 8.702 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.703 * [backup-simplify]: Simplify (+ 0) into 0 8.704 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.704 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.705 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.705 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.706 * [backup-simplify]: Simplify (- 0) into 0 8.706 * [backup-simplify]: Simplify (+ 0 0) into 0 8.706 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 8.707 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 8.707 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 8.708 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 8.708 * [backup-simplify]: Simplify (+ 0 0) into 0 8.709 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 8.710 * [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))) 8.710 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 8.711 * [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 8.711 * [taylor]: Taking taylor expansion of 0 in K 8.711 * [backup-simplify]: Simplify 0 into 0 8.711 * [taylor]: Taking taylor expansion of 0 in J 8.711 * [backup-simplify]: Simplify 0 into 0 8.711 * [backup-simplify]: Simplify 0 into 0 8.712 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.712 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 8.712 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 8.713 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 8.714 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 8.714 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 8.715 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 8.715 * [backup-simplify]: Simplify (- 0) into 0 8.716 * [backup-simplify]: Simplify (+ 0 0) into 0 8.716 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 8.718 * [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 8.718 * [taylor]: Taking taylor expansion of 0 in J 8.718 * [backup-simplify]: Simplify 0 into 0 8.718 * [backup-simplify]: Simplify 0 into 0 8.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.719 * [backup-simplify]: Simplify (+ 0) into 0 8.719 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.720 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.720 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.720 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.721 * [backup-simplify]: Simplify (- 0) into 0 8.721 * [backup-simplify]: Simplify (+ 0 0) into 0 8.721 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 8.721 * [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 8.721 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 8.722 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 8.722 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 8.723 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 8.723 * [backup-simplify]: Simplify (- 0) into 0 8.723 * [backup-simplify]: Simplify (+ 0 0) into 0 8.724 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 8.724 * [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 8.724 * [backup-simplify]: Simplify 0 into 0 8.725 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 8.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.726 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.726 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.726 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.727 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.727 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.727 * [backup-simplify]: Simplify (- 0) into 0 8.728 * [backup-simplify]: Simplify (+ 0 0) into 0 8.728 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 8.728 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 8.729 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 8.729 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 8.730 * [backup-simplify]: Simplify (+ 1 0) into 1 8.731 * [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))) 8.731 * [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))) 8.732 * [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)) 8.732 * [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)) 8.733 * [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 K 8.733 * [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 K 8.733 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 8.733 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.733 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.733 * [taylor]: Taking taylor expansion of -1/2 in K 8.733 * [backup-simplify]: Simplify -1/2 into -1/2 8.733 * [taylor]: Taking taylor expansion of K in K 8.733 * [backup-simplify]: Simplify 0 into 0 8.733 * [backup-simplify]: Simplify 1 into 1 8.733 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.733 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.733 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 8.733 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 8.733 * [taylor]: Taking taylor expansion of 1/4 in K 8.733 * [backup-simplify]: Simplify 1/4 into 1/4 8.733 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 8.733 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in K 8.733 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 8.733 * [taylor]: Taking taylor expansion of 1/4 in K 8.733 * [backup-simplify]: Simplify 1/4 into 1/4 8.733 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 8.733 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.733 * [taylor]: Taking taylor expansion of J in K 8.733 * [backup-simplify]: Simplify J into J 8.733 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 8.733 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.733 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.733 * [taylor]: Taking taylor expansion of -1/2 in K 8.733 * [backup-simplify]: Simplify -1/2 into -1/2 8.733 * [taylor]: Taking taylor expansion of K in K 8.733 * [backup-simplify]: Simplify 0 into 0 8.733 * [backup-simplify]: Simplify 1 into 1 8.734 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.734 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.734 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.734 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.734 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 8.734 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 8.734 * [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)))) 8.734 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 8.734 * [taylor]: Taking taylor expansion of 2 in K 8.734 * [backup-simplify]: Simplify 2 into 2 8.734 * [taylor]: Taking taylor expansion of (log U) in K 8.734 * [taylor]: Taking taylor expansion of U in K 8.734 * [backup-simplify]: Simplify U into U 8.734 * [backup-simplify]: Simplify (log U) into (log U) 8.734 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 8.734 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 8.735 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 8.735 * [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)))) 8.735 * [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))))) 8.735 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.735 * [taylor]: Taking taylor expansion of J in K 8.735 * [backup-simplify]: Simplify J into J 8.735 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.735 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 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)))))) 8.735 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.736 * [backup-simplify]: Simplify (/ (* (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)) 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)) 8.736 * [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 8.736 * [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 8.736 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 8.736 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.736 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.736 * [taylor]: Taking taylor expansion of -1/2 in J 8.736 * [backup-simplify]: Simplify -1/2 into -1/2 8.736 * [taylor]: Taking taylor expansion of K in J 8.736 * [backup-simplify]: Simplify K into K 8.736 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.736 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.736 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.736 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.736 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.736 * [backup-simplify]: Simplify (- 0) into 0 8.736 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.736 * [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 8.737 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 8.737 * [taylor]: Taking taylor expansion of 1/4 in J 8.737 * [backup-simplify]: Simplify 1/4 into 1/4 8.737 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 8.737 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 8.737 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 8.737 * [taylor]: Taking taylor expansion of 1/4 in J 8.737 * [backup-simplify]: Simplify 1/4 into 1/4 8.737 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 8.737 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.737 * [taylor]: Taking taylor expansion of J in J 8.737 * [backup-simplify]: Simplify 0 into 0 8.737 * [backup-simplify]: Simplify 1 into 1 8.737 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 8.737 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.737 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.737 * [taylor]: Taking taylor expansion of -1/2 in J 8.737 * [backup-simplify]: Simplify -1/2 into -1/2 8.737 * [taylor]: Taking taylor expansion of K in J 8.737 * [backup-simplify]: Simplify K into K 8.737 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.737 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.737 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.737 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.737 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.737 * [backup-simplify]: Simplify (- 0) into 0 8.737 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.738 * [backup-simplify]: Simplify (* 1 1) into 1 8.738 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.738 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 8.738 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 8.738 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 8.738 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 8.738 * [taylor]: Taking taylor expansion of 2 in J 8.738 * [backup-simplify]: Simplify 2 into 2 8.738 * [taylor]: Taking taylor expansion of (log U) in J 8.738 * [taylor]: Taking taylor expansion of U in J 8.738 * [backup-simplify]: Simplify U into U 8.738 * [backup-simplify]: Simplify (log U) into (log U) 8.738 * [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)))) 8.738 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 8.738 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 8.739 * [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))) 8.739 * [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)))) 8.739 * [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))))) 8.739 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.739 * [taylor]: Taking taylor expansion of J in J 8.739 * [backup-simplify]: Simplify 0 into 0 8.739 * [backup-simplify]: Simplify 1 into 1 8.739 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.739 * [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)))))) 8.740 * [backup-simplify]: Simplify (* 1 1) into 1 8.740 * [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)))))) 8.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.741 * [backup-simplify]: Simplify (+ 0) into 0 8.741 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.741 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.741 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.742 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.742 * [backup-simplify]: Simplify (- 0) into 0 8.742 * [backup-simplify]: Simplify (+ 0 0) into 0 8.742 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 8.742 * [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 8.743 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 8.743 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 8.744 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 8.744 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 8.744 * [backup-simplify]: Simplify (- 0) into 0 8.745 * [backup-simplify]: Simplify (+ 0 0) into 0 8.745 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 8.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.746 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.747 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.747 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.747 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.747 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.748 * [backup-simplify]: Simplify (- 0) into 0 8.748 * [backup-simplify]: Simplify (+ 0 0) into 0 8.749 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 8.750 * [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 8.751 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 8.753 * [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 8.754 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 8.755 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 8.756 * [backup-simplify]: Simplify (- 0) into 0 8.756 * [backup-simplify]: Simplify (+ 0 0) into 0 8.757 * [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 8.759 * [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 8.759 * [backup-simplify]: Simplify (+ 0) into 0 8.760 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.760 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.760 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.761 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.761 * [backup-simplify]: Simplify (- 0) into 0 8.762 * [backup-simplify]: Simplify (+ 0 0) into 0 8.762 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 8.763 * [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 8.764 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.765 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.765 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.765 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.766 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.766 * [backup-simplify]: Simplify (- 0) into 0 8.767 * [backup-simplify]: Simplify (+ 0 0) into 0 8.767 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 8.768 * [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 8.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.770 * [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 8.770 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.771 * [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 8.773 * [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 8.773 * [backup-simplify]: Simplify 0 into 0 8.773 * [taylor]: Taking taylor expansion of 0 in J 8.773 * [backup-simplify]: Simplify 0 into 0 8.774 * [backup-simplify]: Simplify 0 into 0 8.774 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 8.775 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 8.775 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 8.776 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 8.778 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into 0 8.780 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 8.780 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 8.781 * [backup-simplify]: Simplify (- 0) into 0 8.781 * [backup-simplify]: Simplify (+ 0 0) into 0 8.782 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 8.784 * [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 0 1) 1)))) into 0 8.784 * [taylor]: Taking taylor expansion of 0 in J 8.784 * [backup-simplify]: Simplify 0 into 0 8.784 * [backup-simplify]: Simplify 0 into 0 8.784 * [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)))))) 8.785 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 8.785 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) into (pow (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1/4) 8.785 * [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 K J) around 0 8.785 * [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 8.785 * [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 8.785 * [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 8.785 * [taylor]: Taking taylor expansion of 1/4 in J 8.785 * [backup-simplify]: Simplify 1/4 into 1/4 8.785 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 8.785 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 8.785 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 8.785 * [taylor]: Taking taylor expansion of 1/4 in J 8.785 * [backup-simplify]: Simplify 1/4 into 1/4 8.786 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 8.786 * [taylor]: Taking taylor expansion of (pow U 2) in J 8.786 * [taylor]: Taking taylor expansion of U in J 8.786 * [backup-simplify]: Simplify U into U 8.786 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 8.786 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 8.786 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 8.786 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 8.786 * [taylor]: Taking taylor expansion of 1/2 in J 8.786 * [backup-simplify]: Simplify 1/2 into 1/2 8.786 * [taylor]: Taking taylor expansion of K in J 8.786 * [backup-simplify]: Simplify K into K 8.786 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.786 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.786 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.786 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.786 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.787 * [backup-simplify]: Simplify (- 0) into 0 8.787 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.787 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.787 * [taylor]: Taking taylor expansion of J in J 8.787 * [backup-simplify]: Simplify 0 into 0 8.787 * [backup-simplify]: Simplify 1 into 1 8.787 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.787 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 8.787 * [backup-simplify]: Simplify (* 1 1) into 1 8.788 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 8.788 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 8.788 * [taylor]: Taking taylor expansion of 1 in J 8.788 * [backup-simplify]: Simplify 1 into 1 8.788 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 8.788 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 8.789 * [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)))) 8.789 * [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))) 8.790 * [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)))) 8.790 * [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))))) 8.790 * [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 8.790 * [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 8.790 * [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 8.790 * [taylor]: Taking taylor expansion of 1/4 in K 8.790 * [backup-simplify]: Simplify 1/4 into 1/4 8.790 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 8.790 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 8.790 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 8.790 * [taylor]: Taking taylor expansion of 1/4 in K 8.790 * [backup-simplify]: Simplify 1/4 into 1/4 8.790 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 8.790 * [taylor]: Taking taylor expansion of (pow U 2) in K 8.790 * [taylor]: Taking taylor expansion of U in K 8.790 * [backup-simplify]: Simplify U into U 8.790 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 8.790 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 8.790 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 8.790 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 8.790 * [taylor]: Taking taylor expansion of 1/2 in K 8.790 * [backup-simplify]: Simplify 1/2 into 1/2 8.790 * [taylor]: Taking taylor expansion of K in K 8.790 * [backup-simplify]: Simplify 0 into 0 8.790 * [backup-simplify]: Simplify 1 into 1 8.791 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.792 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.792 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.792 * [taylor]: Taking taylor expansion of J in K 8.792 * [backup-simplify]: Simplify J into J 8.792 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.792 * [backup-simplify]: Simplify (* 1 1) into 1 8.792 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.792 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 8.793 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 8.793 * [taylor]: Taking taylor expansion of 1 in K 8.793 * [backup-simplify]: Simplify 1 into 1 8.793 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 8.793 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 8.793 * [backup-simplify]: Simplify (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (log (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 8.794 * [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))) 8.794 * [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) 8.794 * [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 8.794 * [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 8.794 * [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 8.794 * [taylor]: Taking taylor expansion of 1/4 in U 8.794 * [backup-simplify]: Simplify 1/4 into 1/4 8.794 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 8.794 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 8.794 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 8.794 * [taylor]: Taking taylor expansion of 1/4 in U 8.794 * [backup-simplify]: Simplify 1/4 into 1/4 8.794 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 8.794 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.794 * [taylor]: Taking taylor expansion of U in U 8.794 * [backup-simplify]: Simplify 0 into 0 8.794 * [backup-simplify]: Simplify 1 into 1 8.794 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 8.794 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 8.794 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 8.794 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 8.794 * [taylor]: Taking taylor expansion of 1/2 in U 8.794 * [backup-simplify]: Simplify 1/2 into 1/2 8.794 * [taylor]: Taking taylor expansion of K in U 8.794 * [backup-simplify]: Simplify K into K 8.794 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.795 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.795 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.795 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.795 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.795 * [backup-simplify]: Simplify (- 0) into 0 8.795 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.796 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.796 * [taylor]: Taking taylor expansion of J in U 8.796 * [backup-simplify]: Simplify J into J 8.796 * [backup-simplify]: Simplify (* 1 1) into 1 8.796 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 8.796 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.796 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 8.797 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 8.797 * [taylor]: Taking taylor expansion of 1 in U 8.797 * [backup-simplify]: Simplify 1 into 1 8.797 * [backup-simplify]: Simplify (+ 0 1) into 1 8.797 * [backup-simplify]: Simplify (log 1) into 0 8.798 * [backup-simplify]: Simplify (* 1/4 0) into 0 8.798 * [backup-simplify]: Simplify (+ 0 0) into 0 8.800 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.801 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 8.801 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 8.801 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 8.803 * [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))) 8.804 * [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)))) 8.804 * [backup-simplify]: Simplify (exp 0) into 1 8.804 * [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 8.804 * [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 8.804 * [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 8.804 * [taylor]: Taking taylor expansion of 1/4 in U 8.804 * [backup-simplify]: Simplify 1/4 into 1/4 8.804 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 8.804 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 8.804 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 8.804 * [taylor]: Taking taylor expansion of 1/4 in U 8.804 * [backup-simplify]: Simplify 1/4 into 1/4 8.804 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 8.804 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.804 * [taylor]: Taking taylor expansion of U in U 8.804 * [backup-simplify]: Simplify 0 into 0 8.804 * [backup-simplify]: Simplify 1 into 1 8.804 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 8.804 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 8.805 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 8.805 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 8.805 * [taylor]: Taking taylor expansion of 1/2 in U 8.805 * [backup-simplify]: Simplify 1/2 into 1/2 8.805 * [taylor]: Taking taylor expansion of K in U 8.805 * [backup-simplify]: Simplify K into K 8.805 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 8.805 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 8.805 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 8.805 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 8.805 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 8.805 * [backup-simplify]: Simplify (- 0) into 0 8.805 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 8.806 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.806 * [taylor]: Taking taylor expansion of J in U 8.806 * [backup-simplify]: Simplify J into J 8.806 * [backup-simplify]: Simplify (* 1 1) into 1 8.806 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 8.806 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.806 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 8.806 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 8.807 * [taylor]: Taking taylor expansion of 1 in U 8.807 * [backup-simplify]: Simplify 1 into 1 8.807 * [backup-simplify]: Simplify (+ 0 1) into 1 8.807 * [backup-simplify]: Simplify (log 1) into 0 8.808 * [backup-simplify]: Simplify (* 1/4 0) into 0 8.808 * [backup-simplify]: Simplify (+ 0 0) into 0 8.810 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.810 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 8.810 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 8.811 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 8.813 * [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))) 8.813 * [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)))) 8.814 * [backup-simplify]: Simplify (exp 0) into 1 8.814 * [taylor]: Taking taylor expansion of 1 in K 8.814 * [backup-simplify]: Simplify 1 into 1 8.814 * [taylor]: Taking taylor expansion of 1 in J 8.814 * [backup-simplify]: Simplify 1 into 1 8.814 * [backup-simplify]: Simplify 1 into 1 8.815 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 8.815 * [taylor]: Taking taylor expansion of 0 in K 8.815 * [backup-simplify]: Simplify 0 into 0 8.815 * [taylor]: Taking taylor expansion of 0 in J 8.815 * [backup-simplify]: Simplify 0 into 0 8.815 * [backup-simplify]: Simplify 0 into 0 8.815 * [taylor]: Taking taylor expansion of 0 in J 8.815 * [backup-simplify]: Simplify 0 into 0 8.815 * [backup-simplify]: Simplify 0 into 0 8.815 * [backup-simplify]: Simplify 0 into 0 8.816 * [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))) 8.816 * [taylor]: Taking taylor expansion of (/ 1/16 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 8.816 * [taylor]: Taking taylor expansion of 1/16 in K 8.816 * [backup-simplify]: Simplify 1/16 into 1/16 8.816 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 8.816 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 8.816 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 8.816 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 8.816 * [taylor]: Taking taylor expansion of 1/2 in K 8.816 * [backup-simplify]: Simplify 1/2 into 1/2 8.816 * [taylor]: Taking taylor expansion of K in K 8.817 * [backup-simplify]: Simplify 0 into 0 8.817 * [backup-simplify]: Simplify 1 into 1 8.817 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.818 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.818 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.818 * [taylor]: Taking taylor expansion of J in K 8.818 * [backup-simplify]: Simplify J into J 8.818 * [backup-simplify]: Simplify (* 1 1) into 1 8.818 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.818 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 8.818 * [backup-simplify]: Simplify (/ 1/16 (pow J 2)) into (/ 1/16 (pow J 2)) 8.818 * [taylor]: Taking taylor expansion of (/ 1/16 (pow J 2)) in J 8.818 * [taylor]: Taking taylor expansion of 1/16 in J 8.819 * [backup-simplify]: Simplify 1/16 into 1/16 8.819 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.819 * [taylor]: Taking taylor expansion of J in J 8.819 * [backup-simplify]: Simplify 0 into 0 8.819 * [backup-simplify]: Simplify 1 into 1 8.819 * [backup-simplify]: Simplify (* 1 1) into 1 8.819 * [backup-simplify]: Simplify (/ 1/16 1) into 1/16 8.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/16 (/ 0 1)))) into 0 8.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.828 * [backup-simplify]: Simplify 0 into 0 8.828 * [taylor]: Taking taylor expansion of 0 in J 8.828 * [backup-simplify]: Simplify 0 into 0 8.828 * [backup-simplify]: Simplify 0 into 0 8.828 * [taylor]: Taking taylor expansion of 0 in J 8.828 * [backup-simplify]: Simplify 0 into 0 8.828 * [backup-simplify]: Simplify 0 into 0 8.828 * [backup-simplify]: Simplify 1 into 1 8.829 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J)))) (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J))))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) 8.829 * [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 K J) around 0 8.829 * [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 8.829 * [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 8.829 * [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 8.829 * [taylor]: Taking taylor expansion of 1/4 in J 8.829 * [backup-simplify]: Simplify 1/4 into 1/4 8.829 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 8.829 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 8.829 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 8.829 * [taylor]: Taking taylor expansion of 1/4 in J 8.829 * [backup-simplify]: Simplify 1/4 into 1/4 8.829 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 8.829 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.829 * [taylor]: Taking taylor expansion of J in J 8.829 * [backup-simplify]: Simplify 0 into 0 8.829 * [backup-simplify]: Simplify 1 into 1 8.829 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 8.829 * [taylor]: Taking taylor expansion of (pow U 2) in J 8.829 * [taylor]: Taking taylor expansion of U in J 8.829 * [backup-simplify]: Simplify U into U 8.829 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 8.829 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.830 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.830 * [taylor]: Taking taylor expansion of 1/2 in J 8.830 * [backup-simplify]: Simplify 1/2 into 1/2 8.830 * [taylor]: Taking taylor expansion of K in J 8.830 * [backup-simplify]: Simplify K into K 8.830 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.830 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.830 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.830 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.830 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.831 * [backup-simplify]: Simplify (- 0) into 0 8.831 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.831 * [backup-simplify]: Simplify (* 1 1) into 1 8.831 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.831 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.832 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 8.832 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 8.832 * [taylor]: Taking taylor expansion of 1 in J 8.832 * [backup-simplify]: Simplify 1 into 1 8.832 * [backup-simplify]: Simplify (+ 0 1) into 1 8.833 * [backup-simplify]: Simplify (log 1) into 0 8.833 * [backup-simplify]: Simplify (* 1/4 0) into 0 8.833 * [backup-simplify]: Simplify (+ 0 0) into 0 8.835 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.835 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 8.836 * [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))) 8.836 * [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)))) 8.838 * [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))) 8.839 * [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)))) 8.839 * [backup-simplify]: Simplify (exp 0) into 1 8.839 * [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 8.839 * [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 8.839 * [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 8.839 * [taylor]: Taking taylor expansion of 1/4 in K 8.839 * [backup-simplify]: Simplify 1/4 into 1/4 8.839 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 8.839 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 8.839 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 8.839 * [taylor]: Taking taylor expansion of 1/4 in K 8.839 * [backup-simplify]: Simplify 1/4 into 1/4 8.839 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 8.839 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.839 * [taylor]: Taking taylor expansion of J in K 8.839 * [backup-simplify]: Simplify J into J 8.839 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 8.839 * [taylor]: Taking taylor expansion of (pow U 2) in K 8.839 * [taylor]: Taking taylor expansion of U in K 8.839 * [backup-simplify]: Simplify U into U 8.839 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 8.839 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.840 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.840 * [taylor]: Taking taylor expansion of 1/2 in K 8.840 * [backup-simplify]: Simplify 1/2 into 1/2 8.840 * [taylor]: Taking taylor expansion of K in K 8.840 * [backup-simplify]: Simplify 0 into 0 8.840 * [backup-simplify]: Simplify 1 into 1 8.840 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.840 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.840 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.840 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.840 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.841 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 8.841 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 8.841 * [taylor]: Taking taylor expansion of 1 in K 8.841 * [backup-simplify]: Simplify 1 into 1 8.841 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 8.842 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 8.842 * [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)) 8.842 * [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))) 8.843 * [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) 8.843 * [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 8.843 * [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 8.843 * [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 8.843 * [taylor]: Taking taylor expansion of 1/4 in U 8.843 * [backup-simplify]: Simplify 1/4 into 1/4 8.843 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 8.843 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 8.843 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 8.843 * [taylor]: Taking taylor expansion of 1/4 in U 8.843 * [backup-simplify]: Simplify 1/4 into 1/4 8.843 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 8.843 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.843 * [taylor]: Taking taylor expansion of J in U 8.843 * [backup-simplify]: Simplify J into J 8.843 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 8.843 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.843 * [taylor]: Taking taylor expansion of U in U 8.843 * [backup-simplify]: Simplify 0 into 0 8.843 * [backup-simplify]: Simplify 1 into 1 8.843 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 8.843 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.844 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.844 * [taylor]: Taking taylor expansion of 1/2 in U 8.844 * [backup-simplify]: Simplify 1/2 into 1/2 8.844 * [taylor]: Taking taylor expansion of K in U 8.844 * [backup-simplify]: Simplify K into K 8.844 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.844 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.844 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.844 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.844 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.845 * [backup-simplify]: Simplify (- 0) into 0 8.845 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.845 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.845 * [backup-simplify]: Simplify (* 1 1) into 1 8.845 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.845 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 8.846 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 8.846 * [taylor]: Taking taylor expansion of 1 in U 8.846 * [backup-simplify]: Simplify 1 into 1 8.846 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 8.846 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 8.846 * [backup-simplify]: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) 8.847 * [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))) 8.847 * [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)))) 8.848 * [backup-simplify]: Simplify (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) 8.848 * [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 8.848 * [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 8.848 * [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 8.848 * [taylor]: Taking taylor expansion of 1/4 in U 8.848 * [backup-simplify]: Simplify 1/4 into 1/4 8.848 * [taylor]: Taking taylor expansion of (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 8.848 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 8.848 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 8.848 * [taylor]: Taking taylor expansion of 1/4 in U 8.848 * [backup-simplify]: Simplify 1/4 into 1/4 8.848 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 8.848 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.848 * [taylor]: Taking taylor expansion of J in U 8.848 * [backup-simplify]: Simplify J into J 8.848 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 8.848 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.848 * [taylor]: Taking taylor expansion of U in U 8.848 * [backup-simplify]: Simplify 0 into 0 8.848 * [backup-simplify]: Simplify 1 into 1 8.848 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 8.848 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 8.848 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 8.848 * [taylor]: Taking taylor expansion of 1/2 in U 8.849 * [backup-simplify]: Simplify 1/2 into 1/2 8.849 * [taylor]: Taking taylor expansion of K in U 8.849 * [backup-simplify]: Simplify K into K 8.849 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.849 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.849 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.849 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.849 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.850 * [backup-simplify]: Simplify (- 0) into 0 8.850 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.850 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.851 * [backup-simplify]: Simplify (* 1 1) into 1 8.851 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.851 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 8.851 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 8.851 * [taylor]: Taking taylor expansion of 1 in U 8.851 * [backup-simplify]: Simplify 1 into 1 8.851 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 8.852 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 8.852 * [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)))) 8.853 * [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))) 8.853 * [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)))) 8.853 * [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))))) 8.853 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 8.853 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 8.854 * [taylor]: Taking taylor expansion of 1/4 in K 8.854 * [backup-simplify]: Simplify 1/4 into 1/4 8.854 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 8.854 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in K 8.854 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 8.854 * [taylor]: Taking taylor expansion of 1/4 in K 8.854 * [backup-simplify]: Simplify 1/4 into 1/4 8.854 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 8.854 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.854 * [taylor]: Taking taylor expansion of J in K 8.854 * [backup-simplify]: Simplify J into J 8.854 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 8.854 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.854 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.854 * [taylor]: Taking taylor expansion of 1/2 in K 8.854 * [backup-simplify]: Simplify 1/2 into 1/2 8.854 * [taylor]: Taking taylor expansion of K in K 8.854 * [backup-simplify]: Simplify 0 into 0 8.854 * [backup-simplify]: Simplify 1 into 1 8.855 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.855 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.855 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.855 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.855 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 8.855 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 8.856 * [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)))) 8.856 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 8.856 * [taylor]: Taking taylor expansion of 2 in K 8.856 * [backup-simplify]: Simplify 2 into 2 8.856 * [taylor]: Taking taylor expansion of (log U) in K 8.856 * [taylor]: Taking taylor expansion of U in K 8.856 * [backup-simplify]: Simplify U into U 8.856 * [backup-simplify]: Simplify (log U) into (log U) 8.856 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 8.856 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 8.856 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 8.857 * [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)))) 8.857 * [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))))) 8.857 * [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 8.857 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 8.857 * [taylor]: Taking taylor expansion of 1/4 in J 8.857 * [backup-simplify]: Simplify 1/4 into 1/4 8.857 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 8.857 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 8.857 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 8.857 * [taylor]: Taking taylor expansion of 1/4 in J 8.857 * [backup-simplify]: Simplify 1/4 into 1/4 8.857 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 8.857 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.857 * [taylor]: Taking taylor expansion of J in J 8.857 * [backup-simplify]: Simplify 0 into 0 8.857 * [backup-simplify]: Simplify 1 into 1 8.857 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 8.857 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.858 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.858 * [taylor]: Taking taylor expansion of 1/2 in J 8.858 * [backup-simplify]: Simplify 1/2 into 1/2 8.858 * [taylor]: Taking taylor expansion of K in J 8.858 * [backup-simplify]: Simplify K into K 8.858 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.858 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.858 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.858 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.858 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.859 * [backup-simplify]: Simplify (- 0) into 0 8.859 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.859 * [backup-simplify]: Simplify (* 1 1) into 1 8.859 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.859 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 8.860 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 8.860 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 8.860 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 8.860 * [taylor]: Taking taylor expansion of 2 in J 8.860 * [backup-simplify]: Simplify 2 into 2 8.860 * [taylor]: Taking taylor expansion of (log U) in J 8.860 * [taylor]: Taking taylor expansion of U in J 8.860 * [backup-simplify]: Simplify U into U 8.860 * [backup-simplify]: Simplify (log U) into (log U) 8.861 * [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)))) 8.861 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 8.861 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 8.861 * [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))) 8.861 * [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)))) 8.862 * [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))))) 8.862 * [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))))) 8.862 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.863 * [backup-simplify]: Simplify (+ 0) into 0 8.863 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.863 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.864 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.865 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.865 * [backup-simplify]: Simplify (- 0) into 0 8.865 * [backup-simplify]: Simplify (+ 0 0) into 0 8.866 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 8.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.867 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 8.867 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 8.868 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 8.868 * [backup-simplify]: Simplify (+ 0 0) into 0 8.869 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 8.870 * [backup-simplify]: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 8.871 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 8.872 * [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 8.872 * [taylor]: Taking taylor expansion of 0 in K 8.872 * [backup-simplify]: Simplify 0 into 0 8.872 * [taylor]: Taking taylor expansion of 0 in J 8.872 * [backup-simplify]: Simplify 0 into 0 8.872 * [backup-simplify]: Simplify 0 into 0 8.872 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.872 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 8.873 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 8.873 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 8.874 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 8.875 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 8.876 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 8.876 * [backup-simplify]: Simplify (- 0) into 0 8.877 * [backup-simplify]: Simplify (+ 0 0) into 0 8.877 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 8.878 * [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 8.878 * [taylor]: Taking taylor expansion of 0 in J 8.878 * [backup-simplify]: Simplify 0 into 0 8.878 * [backup-simplify]: Simplify 0 into 0 8.879 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.880 * [backup-simplify]: Simplify (+ 0) into 0 8.880 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.880 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.881 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.882 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.882 * [backup-simplify]: Simplify (- 0) into 0 8.882 * [backup-simplify]: Simplify (+ 0 0) into 0 8.883 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 8.883 * [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 8.884 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 8.884 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 8.885 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 8.886 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 8.886 * [backup-simplify]: Simplify (- 0) into 0 8.887 * [backup-simplify]: Simplify (+ 0 0) into 0 8.887 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 8.888 * [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 8.888 * [backup-simplify]: Simplify 0 into 0 8.889 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 8.890 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.891 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.891 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.892 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.892 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.893 * [backup-simplify]: Simplify (- 0) into 0 8.893 * [backup-simplify]: Simplify (+ 0 0) into 0 8.894 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 8.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 8.896 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 8.897 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 8.897 * [backup-simplify]: Simplify (+ 0 1) into 1 8.900 * [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))) 8.900 * [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))) 8.901 * [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)) 8.902 * [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)) 8.903 * [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 K 8.903 * [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 K 8.903 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in K 8.903 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in K 8.903 * [taylor]: Taking taylor expansion of 1/4 in K 8.903 * [backup-simplify]: Simplify 1/4 into 1/4 8.903 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in K 8.903 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in K 8.903 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in K 8.903 * [taylor]: Taking taylor expansion of 1/4 in K 8.903 * [backup-simplify]: Simplify 1/4 into 1/4 8.903 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in K 8.903 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.903 * [taylor]: Taking taylor expansion of J in K 8.903 * [backup-simplify]: Simplify J into J 8.903 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 8.903 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.903 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.903 * [taylor]: Taking taylor expansion of 1/2 in K 8.903 * [backup-simplify]: Simplify 1/2 into 1/2 8.903 * [taylor]: Taking taylor expansion of K in K 8.903 * [backup-simplify]: Simplify 0 into 0 8.903 * [backup-simplify]: Simplify 1 into 1 8.904 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.904 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.904 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.904 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.904 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 8.905 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 8.905 * [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)))) 8.905 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 8.905 * [taylor]: Taking taylor expansion of 2 in K 8.905 * [backup-simplify]: Simplify 2 into 2 8.905 * [taylor]: Taking taylor expansion of (log U) in K 8.905 * [taylor]: Taking taylor expansion of U in K 8.905 * [backup-simplify]: Simplify U into U 8.905 * [backup-simplify]: Simplify (log U) into (log U) 8.905 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 8.905 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 8.906 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) 8.906 * [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)))) 8.906 * [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))))) 8.906 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 8.906 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 8.906 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 8.906 * [taylor]: Taking taylor expansion of 1/2 in K 8.906 * [backup-simplify]: Simplify 1/2 into 1/2 8.906 * [taylor]: Taking taylor expansion of K in K 8.906 * [backup-simplify]: Simplify 0 into 0 8.906 * [backup-simplify]: Simplify 1 into 1 8.907 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.907 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.907 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.907 * [taylor]: Taking taylor expansion of J in K 8.907 * [backup-simplify]: Simplify J into J 8.907 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.908 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 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)) 8.908 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.908 * [backup-simplify]: Simplify (/ (* (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)) 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)) 8.908 * [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 8.908 * [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 8.909 * [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 8.909 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J 8.909 * [taylor]: Taking taylor expansion of 1/4 in J 8.909 * [backup-simplify]: Simplify 1/4 into 1/4 8.909 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J 8.909 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J 8.909 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J 8.909 * [taylor]: Taking taylor expansion of 1/4 in J 8.909 * [backup-simplify]: Simplify 1/4 into 1/4 8.909 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J 8.909 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.909 * [taylor]: Taking taylor expansion of J in J 8.909 * [backup-simplify]: Simplify 0 into 0 8.909 * [backup-simplify]: Simplify 1 into 1 8.909 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 8.909 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.909 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.909 * [taylor]: Taking taylor expansion of 1/2 in J 8.909 * [backup-simplify]: Simplify 1/2 into 1/2 8.909 * [taylor]: Taking taylor expansion of K in J 8.909 * [backup-simplify]: Simplify K into K 8.909 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.910 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.910 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.910 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.910 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.910 * [backup-simplify]: Simplify (- 0) into 0 8.910 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.911 * [backup-simplify]: Simplify (* 1 1) into 1 8.911 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.911 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) 8.911 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 8.911 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) 8.911 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 8.911 * [taylor]: Taking taylor expansion of 2 in J 8.911 * [backup-simplify]: Simplify 2 into 2 8.912 * [taylor]: Taking taylor expansion of (log U) in J 8.912 * [taylor]: Taking taylor expansion of U in J 8.912 * [backup-simplify]: Simplify U into U 8.912 * [backup-simplify]: Simplify (log U) into (log U) 8.912 * [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)))) 8.912 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 8.912 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 8.912 * [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))) 8.912 * [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)))) 8.913 * [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))))) 8.913 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 8.913 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 8.913 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 8.913 * [taylor]: Taking taylor expansion of 1/2 in J 8.913 * [backup-simplify]: Simplify 1/2 into 1/2 8.913 * [taylor]: Taking taylor expansion of K in J 8.913 * [backup-simplify]: Simplify K into K 8.913 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 8.913 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 8.913 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 8.913 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 8.913 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 8.913 * [backup-simplify]: Simplify (- 0) into 0 8.913 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 8.913 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.913 * [taylor]: Taking taylor expansion of J in J 8.913 * [backup-simplify]: Simplify 0 into 0 8.913 * [backup-simplify]: Simplify 1 into 1 8.913 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 8.914 * [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)) 8.914 * [backup-simplify]: Simplify (* 1 1) into 1 8.914 * [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)) 8.914 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.915 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.915 * [backup-simplify]: Simplify (+ 0) into 0 8.916 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.916 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.916 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.917 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.917 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.917 * [backup-simplify]: Simplify (- 0) into 0 8.918 * [backup-simplify]: Simplify (+ 0 0) into 0 8.918 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.918 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.918 * [backup-simplify]: Simplify (- 0) into 0 8.919 * [backup-simplify]: Simplify (+ 0 0) into 0 8.919 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 8.919 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.920 * [backup-simplify]: Simplify (+ 0) into 0 8.920 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 8.920 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 8.920 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.921 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 8.921 * [backup-simplify]: Simplify (- 0) into 0 8.921 * [backup-simplify]: Simplify (+ 0 0) into 0 8.921 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 8.921 * [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 8.922 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 8.922 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 8.923 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 8.923 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 8.923 * [backup-simplify]: Simplify (- 0) into 0 8.924 * [backup-simplify]: Simplify (+ 0 0) into 0 8.924 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 8.925 * [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 8.925 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 8.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.926 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.926 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 8.926 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 8.927 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.927 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 8.927 * [backup-simplify]: Simplify (- 0) into 0 8.928 * [backup-simplify]: Simplify (+ 0 0) into 0 8.928 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 8.928 * [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 8.929 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 8.930 * [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 8.931 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 8.931 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 8.932 * [backup-simplify]: Simplify (- 0) into 0 8.932 * [backup-simplify]: Simplify (+ 0 0) into 0 8.932 * [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 8.933 * [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 8.934 * [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 8.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.935 * [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 8.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.936 * [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 8.937 * [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 8.937 * [backup-simplify]: Simplify 0 into 0 8.937 * [taylor]: Taking taylor expansion of 0 in J 8.937 * [backup-simplify]: Simplify 0 into 0 8.937 * [backup-simplify]: Simplify 0 into 0 8.937 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 8.938 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 8.938 * [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))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 8.938 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 8.940 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into 0 8.941 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 8.941 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 8.941 * [backup-simplify]: Simplify (- 0) into 0 8.942 * [backup-simplify]: Simplify (+ 0 0) into 0 8.942 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into 0 8.943 * [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 0 1) 1)))) into 0 8.943 * [taylor]: Taking taylor expansion of 0 in J 8.943 * [backup-simplify]: Simplify 0 into 0 8.943 * [backup-simplify]: Simplify 0 into 0 8.943 * [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)))))) 8.944 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J))))) (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))))) 1))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) 8.944 * [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 K J) around 0 8.944 * [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 8.944 * [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 8.944 * [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 8.944 * [taylor]: Taking taylor expansion of 1/4 in J 8.944 * [backup-simplify]: Simplify 1/4 into 1/4 8.944 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 8.944 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 8.944 * [taylor]: Taking taylor expansion of 1 in J 8.944 * [backup-simplify]: Simplify 1 into 1 8.944 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 8.944 * [taylor]: Taking taylor expansion of 1/4 in J 8.944 * [backup-simplify]: Simplify 1/4 into 1/4 8.944 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 8.944 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.944 * [taylor]: Taking taylor expansion of J in J 8.944 * [backup-simplify]: Simplify 0 into 0 8.945 * [backup-simplify]: Simplify 1 into 1 8.945 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 8.945 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 8.945 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.945 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.945 * [taylor]: Taking taylor expansion of -1/2 in J 8.945 * [backup-simplify]: Simplify -1/2 into -1/2 8.945 * [taylor]: Taking taylor expansion of K in J 8.945 * [backup-simplify]: Simplify K into K 8.945 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.945 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.945 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.945 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.945 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.946 * [backup-simplify]: Simplify (- 0) into 0 8.946 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.946 * [taylor]: Taking taylor expansion of (pow U 2) in J 8.946 * [taylor]: Taking taylor expansion of U in J 8.946 * [backup-simplify]: Simplify U into U 8.946 * [backup-simplify]: Simplify (* 1 1) into 1 8.946 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.946 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.946 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 8.947 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 8.947 * [backup-simplify]: Simplify (+ 1 0) into 1 8.947 * [backup-simplify]: Simplify (log 1) into 0 8.948 * [backup-simplify]: Simplify (* 1/4 0) into 0 8.948 * [backup-simplify]: Simplify (+ 0 0) into 0 8.950 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.950 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 0)) into 0 8.951 * [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))) 8.951 * [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)))) 8.953 * [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))) 8.954 * [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)))) 8.954 * [backup-simplify]: Simplify (exp 0) into 1 8.954 * [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 8.954 * [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 8.954 * [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 8.954 * [taylor]: Taking taylor expansion of 1/4 in K 8.954 * [backup-simplify]: Simplify 1/4 into 1/4 8.954 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 8.954 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 8.954 * [taylor]: Taking taylor expansion of 1 in K 8.954 * [backup-simplify]: Simplify 1 into 1 8.954 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 8.954 * [taylor]: Taking taylor expansion of 1/4 in K 8.954 * [backup-simplify]: Simplify 1/4 into 1/4 8.954 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 8.955 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.955 * [taylor]: Taking taylor expansion of J in K 8.955 * [backup-simplify]: Simplify J into J 8.955 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 8.955 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 8.955 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.955 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.955 * [taylor]: Taking taylor expansion of -1/2 in K 8.955 * [backup-simplify]: Simplify -1/2 into -1/2 8.955 * [taylor]: Taking taylor expansion of K in K 8.955 * [backup-simplify]: Simplify 0 into 0 8.955 * [backup-simplify]: Simplify 1 into 1 8.955 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.955 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.955 * [taylor]: Taking taylor expansion of (pow U 2) in K 8.955 * [taylor]: Taking taylor expansion of U in K 8.956 * [backup-simplify]: Simplify U into U 8.956 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.956 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.956 * [backup-simplify]: Simplify (* U U) into (pow U 2) 8.956 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 8.956 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 8.956 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 8.957 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 8.957 * [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)))))) 8.958 * [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))))))) 8.958 * [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) 8.958 * [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 8.958 * [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 8.958 * [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 8.958 * [taylor]: Taking taylor expansion of 1/4 in U 8.958 * [backup-simplify]: Simplify 1/4 into 1/4 8.958 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 8.958 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 8.959 * [taylor]: Taking taylor expansion of 1 in U 8.959 * [backup-simplify]: Simplify 1 into 1 8.959 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 8.959 * [taylor]: Taking taylor expansion of 1/4 in U 8.959 * [backup-simplify]: Simplify 1/4 into 1/4 8.959 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 8.959 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.959 * [taylor]: Taking taylor expansion of J in U 8.959 * [backup-simplify]: Simplify J into J 8.959 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 8.959 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 8.959 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.959 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.959 * [taylor]: Taking taylor expansion of -1/2 in U 8.959 * [backup-simplify]: Simplify -1/2 into -1/2 8.959 * [taylor]: Taking taylor expansion of K in U 8.959 * [backup-simplify]: Simplify K into K 8.959 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.959 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.959 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.960 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.960 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.960 * [backup-simplify]: Simplify (- 0) into 0 8.960 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.960 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.960 * [taylor]: Taking taylor expansion of U in U 8.960 * [backup-simplify]: Simplify 0 into 0 8.960 * [backup-simplify]: Simplify 1 into 1 8.961 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.961 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.961 * [backup-simplify]: Simplify (* 1 1) into 1 8.961 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 8.961 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 8.962 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 8.962 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 8.962 * [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)))) 8.967 * [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))) 8.967 * [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)))) 8.968 * [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))))) 8.968 * [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 8.968 * [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 8.968 * [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 8.968 * [taylor]: Taking taylor expansion of 1/4 in U 8.968 * [backup-simplify]: Simplify 1/4 into 1/4 8.968 * [taylor]: Taking taylor expansion of (log (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 8.968 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 8.968 * [taylor]: Taking taylor expansion of 1 in U 8.968 * [backup-simplify]: Simplify 1 into 1 8.968 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 8.968 * [taylor]: Taking taylor expansion of 1/4 in U 8.968 * [backup-simplify]: Simplify 1/4 into 1/4 8.968 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 8.968 * [taylor]: Taking taylor expansion of (pow J 2) in U 8.968 * [taylor]: Taking taylor expansion of J in U 8.968 * [backup-simplify]: Simplify J into J 8.968 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 8.968 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 8.969 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 8.969 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 8.969 * [taylor]: Taking taylor expansion of -1/2 in U 8.969 * [backup-simplify]: Simplify -1/2 into -1/2 8.969 * [taylor]: Taking taylor expansion of K in U 8.969 * [backup-simplify]: Simplify K into K 8.969 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.969 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.969 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.969 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.969 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.970 * [backup-simplify]: Simplify (- 0) into 0 8.970 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.970 * [taylor]: Taking taylor expansion of (pow U 2) in U 8.970 * [taylor]: Taking taylor expansion of U in U 8.970 * [backup-simplify]: Simplify 0 into 0 8.970 * [backup-simplify]: Simplify 1 into 1 8.970 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.970 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.971 * [backup-simplify]: Simplify (* 1 1) into 1 8.971 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 8.971 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 8.971 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 8.971 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 8.972 * [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)))) 8.972 * [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))) 8.973 * [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)))) 8.973 * [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))))) 8.973 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 8.973 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 8.973 * [taylor]: Taking taylor expansion of 1/4 in K 8.973 * [backup-simplify]: Simplify 1/4 into 1/4 8.973 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 8.973 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in K 8.973 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 8.973 * [taylor]: Taking taylor expansion of 1/4 in K 8.973 * [backup-simplify]: Simplify 1/4 into 1/4 8.974 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 8.974 * [taylor]: Taking taylor expansion of (pow J 2) in K 8.974 * [taylor]: Taking taylor expansion of J in K 8.974 * [backup-simplify]: Simplify J into J 8.974 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 8.974 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 8.974 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 8.974 * [taylor]: Taking taylor expansion of -1/2 in K 8.974 * [backup-simplify]: Simplify -1/2 into -1/2 8.974 * [taylor]: Taking taylor expansion of K in K 8.974 * [backup-simplify]: Simplify 0 into 0 8.974 * [backup-simplify]: Simplify 1 into 1 8.974 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.974 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.974 * [backup-simplify]: Simplify (* J J) into (pow J 2) 8.975 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.975 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 8.975 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 8.975 * [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)))) 8.975 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 8.975 * [taylor]: Taking taylor expansion of 2 in K 8.975 * [backup-simplify]: Simplify 2 into 2 8.975 * [taylor]: Taking taylor expansion of (log U) in K 8.975 * [taylor]: Taking taylor expansion of U in K 8.975 * [backup-simplify]: Simplify U into U 8.975 * [backup-simplify]: Simplify (log U) into (log U) 8.976 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 8.976 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 8.976 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 8.976 * [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)))) 8.977 * [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))))) 8.977 * [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 8.977 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 8.977 * [taylor]: Taking taylor expansion of 1/4 in J 8.977 * [backup-simplify]: Simplify 1/4 into 1/4 8.977 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 8.977 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 8.977 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 8.977 * [taylor]: Taking taylor expansion of 1/4 in J 8.977 * [backup-simplify]: Simplify 1/4 into 1/4 8.977 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 8.977 * [taylor]: Taking taylor expansion of (pow J 2) in J 8.977 * [taylor]: Taking taylor expansion of J in J 8.977 * [backup-simplify]: Simplify 0 into 0 8.977 * [backup-simplify]: Simplify 1 into 1 8.977 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 8.977 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 8.977 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 8.977 * [taylor]: Taking taylor expansion of -1/2 in J 8.977 * [backup-simplify]: Simplify -1/2 into -1/2 8.977 * [taylor]: Taking taylor expansion of K in J 8.977 * [backup-simplify]: Simplify K into K 8.977 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 8.977 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 8.977 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 8.978 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 8.978 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 8.978 * [backup-simplify]: Simplify (- 0) into 0 8.978 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 8.979 * [backup-simplify]: Simplify (* 1 1) into 1 8.979 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 8.979 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 8.979 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 8.979 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 8.979 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 8.979 * [taylor]: Taking taylor expansion of 2 in J 8.979 * [backup-simplify]: Simplify 2 into 2 8.979 * [taylor]: Taking taylor expansion of (log U) in J 8.979 * [taylor]: Taking taylor expansion of U in J 8.980 * [backup-simplify]: Simplify U into U 8.980 * [backup-simplify]: Simplify (log U) into (log U) 8.980 * [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)))) 8.980 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 8.980 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 8.981 * [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))) 8.981 * [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)))) 8.981 * [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))))) 8.982 * [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))))) 8.982 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.983 * [backup-simplify]: Simplify (+ 0) into 0 8.984 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 8.984 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 8.985 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.985 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 8.985 * [backup-simplify]: Simplify (- 0) into 0 8.986 * [backup-simplify]: Simplify (+ 0 0) into 0 8.986 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 8.987 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 8.987 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 8.988 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 8.988 * [backup-simplify]: Simplify (+ 0 0) into 0 8.989 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 8.990 * [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))) 8.990 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 8.992 * [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 8.992 * [taylor]: Taking taylor expansion of 0 in K 8.992 * [backup-simplify]: Simplify 0 into 0 8.992 * [taylor]: Taking taylor expansion of 0 in J 8.992 * [backup-simplify]: Simplify 0 into 0 8.992 * [backup-simplify]: Simplify 0 into 0 8.992 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 8.992 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 8.993 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 8.993 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 8.995 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 8.995 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 8.996 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 8.996 * [backup-simplify]: Simplify (- 0) into 0 8.997 * [backup-simplify]: Simplify (+ 0 0) into 0 8.998 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 8.999 * [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 8.999 * [taylor]: Taking taylor expansion of 0 in J 8.999 * [backup-simplify]: Simplify 0 into 0 8.999 * [backup-simplify]: Simplify 0 into 0 9.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.000 * [backup-simplify]: Simplify (+ 0) into 0 9.000 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 9.001 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 9.001 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.002 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 9.002 * [backup-simplify]: Simplify (- 0) into 0 9.003 * [backup-simplify]: Simplify (+ 0 0) into 0 9.003 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 9.003 * [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 9.004 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 9.005 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 9.006 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 9.006 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 9.006 * [backup-simplify]: Simplify (- 0) into 0 9.007 * [backup-simplify]: Simplify (+ 0 0) into 0 9.008 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 9.009 * [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 9.009 * [backup-simplify]: Simplify 0 into 0 9.009 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 9.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.012 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.012 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.013 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.013 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.014 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.014 * [backup-simplify]: Simplify (- 0) into 0 9.015 * [backup-simplify]: Simplify (+ 0 0) into 0 9.015 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 9.016 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 9.017 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 9.018 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 9.018 * [backup-simplify]: Simplify (+ 1 0) into 1 9.020 * [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))) 9.021 * [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))) 9.022 * [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)) 9.023 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)) 1) 1)))) into (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) 9.023 * [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 K 9.023 * [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 K 9.023 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 9.024 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 9.024 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 9.024 * [taylor]: Taking taylor expansion of -1/2 in K 9.024 * [backup-simplify]: Simplify -1/2 into -1/2 9.024 * [taylor]: Taking taylor expansion of K in K 9.024 * [backup-simplify]: Simplify 0 into 0 9.024 * [backup-simplify]: Simplify 1 into 1 9.024 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.024 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.024 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K 9.024 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K 9.024 * [taylor]: Taking taylor expansion of 1/4 in K 9.024 * [backup-simplify]: Simplify 1/4 into 1/4 9.024 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K 9.024 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in K 9.025 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in K 9.025 * [taylor]: Taking taylor expansion of 1/4 in K 9.025 * [backup-simplify]: Simplify 1/4 into 1/4 9.025 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in K 9.025 * [taylor]: Taking taylor expansion of (pow J 2) in K 9.025 * [taylor]: Taking taylor expansion of J in K 9.025 * [backup-simplify]: Simplify J into J 9.025 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 9.025 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 9.025 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 9.025 * [taylor]: Taking taylor expansion of -1/2 in K 9.025 * [backup-simplify]: Simplify -1/2 into -1/2 9.025 * [taylor]: Taking taylor expansion of K in K 9.025 * [backup-simplify]: Simplify 0 into 0 9.025 * [backup-simplify]: Simplify 1 into 1 9.025 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.025 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.026 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.026 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.026 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 9.026 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 9.027 * [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)))) 9.027 * [taylor]: Taking taylor expansion of (* 2 (log U)) in K 9.027 * [taylor]: Taking taylor expansion of 2 in K 9.027 * [backup-simplify]: Simplify 2 into 2 9.027 * [taylor]: Taking taylor expansion of (log U) in K 9.027 * [taylor]: Taking taylor expansion of U in K 9.027 * [backup-simplify]: Simplify U into U 9.027 * [backup-simplify]: Simplify (log U) into (log U) 9.027 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 9.027 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 9.027 * [backup-simplify]: Simplify (+ (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) 9.028 * [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)))) 9.028 * [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))))) 9.028 * [taylor]: Taking taylor expansion of (pow J 2) in K 9.028 * [taylor]: Taking taylor expansion of J in K 9.028 * [backup-simplify]: Simplify J into J 9.028 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.028 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 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)))))) 9.029 * [backup-simplify]: Simplify (* J J) into (pow J 2) 9.029 * [backup-simplify]: Simplify (/ (* (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)) into (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) 9.029 * [taylor]: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in J 9.029 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in J 9.029 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 9.029 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 9.029 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 9.029 * [taylor]: Taking taylor expansion of -1/2 in J 9.029 * [backup-simplify]: Simplify -1/2 into -1/2 9.029 * [taylor]: Taking taylor expansion of K in J 9.029 * [backup-simplify]: Simplify K into K 9.029 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.029 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.029 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.029 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.030 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.030 * [backup-simplify]: Simplify (- 0) into 0 9.030 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.030 * [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 9.030 * [taylor]: Taking taylor expansion of (* 1/4 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J 9.030 * [taylor]: Taking taylor expansion of 1/4 in J 9.030 * [backup-simplify]: Simplify 1/4 into 1/4 9.030 * [taylor]: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J 9.030 * [taylor]: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J 9.030 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J 9.030 * [taylor]: Taking taylor expansion of 1/4 in J 9.030 * [backup-simplify]: Simplify 1/4 into 1/4 9.030 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J 9.031 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.031 * [taylor]: Taking taylor expansion of J in J 9.031 * [backup-simplify]: Simplify 0 into 0 9.031 * [backup-simplify]: Simplify 1 into 1 9.031 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 9.031 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 9.031 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 9.031 * [taylor]: Taking taylor expansion of -1/2 in J 9.031 * [backup-simplify]: Simplify -1/2 into -1/2 9.031 * [taylor]: Taking taylor expansion of K in J 9.031 * [backup-simplify]: Simplify K into K 9.031 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 9.031 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 9.031 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 9.031 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 9.031 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 9.032 * [backup-simplify]: Simplify (- 0) into 0 9.032 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 9.032 * [backup-simplify]: Simplify (* 1 1) into 1 9.032 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.032 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) 9.032 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 9.033 * [backup-simplify]: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) 9.033 * [taylor]: Taking taylor expansion of (* 2 (log U)) in J 9.033 * [taylor]: Taking taylor expansion of 2 in J 9.033 * [backup-simplify]: Simplify 2 into 2 9.033 * [taylor]: Taking taylor expansion of (log U) in J 9.033 * [taylor]: Taking taylor expansion of U in J 9.033 * [backup-simplify]: Simplify U into U 9.033 * [backup-simplify]: Simplify (log U) into (log U) 9.033 * [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)))) 9.033 * [backup-simplify]: Simplify (* 2 (log U)) into (* 2 (log U)) 9.033 * [backup-simplify]: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) 9.034 * [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))) 9.034 * [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)))) 9.034 * [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))))) 9.034 * [taylor]: Taking taylor expansion of (pow J 2) in J 9.034 * [taylor]: Taking taylor expansion of J in J 9.034 * [backup-simplify]: Simplify 0 into 0 9.034 * [backup-simplify]: Simplify 1 into 1 9.034 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 9.035 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 9.035 * [backup-simplify]: Simplify (* 1 1) into 1 9.036 * [backup-simplify]: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 1) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 9.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.037 * [backup-simplify]: Simplify (+ 0) into 0 9.037 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 9.037 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 9.038 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.038 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 9.039 * [backup-simplify]: Simplify (- 0) into 0 9.039 * [backup-simplify]: Simplify (+ 0 0) into 0 9.039 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 9.040 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 9.040 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 9.041 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 9.042 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 9.042 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log U))) into 0 9.042 * [backup-simplify]: Simplify (- 0) into 0 9.043 * [backup-simplify]: Simplify (+ 0 0) into 0 9.043 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 9.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.045 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.046 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.046 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.047 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.047 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.047 * [backup-simplify]: Simplify (- 0) into 0 9.048 * [backup-simplify]: Simplify (+ 0 0) into 0 9.048 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 9.049 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 9.050 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 9.052 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 9.053 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 9.054 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 9.055 * [backup-simplify]: Simplify (- 0) into 0 9.055 * [backup-simplify]: Simplify (+ 0 0) into 0 9.056 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 9.058 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.058 * [backup-simplify]: Simplify (+ 0) into 0 9.059 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 9.059 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 9.060 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.060 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 9.061 * [backup-simplify]: Simplify (- 0) into 0 9.061 * [backup-simplify]: Simplify (+ 0 0) into 0 9.061 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 9.062 * [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 9.063 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.064 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 9.064 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.065 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.066 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 9.066 * [backup-simplify]: Simplify (- 0) into 0 9.066 * [backup-simplify]: Simplify (+ 0 0) into 0 9.067 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 9.068 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))))) into 0 9.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.069 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))) into 0 9.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)))) into 0 9.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/4 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.073 * [backup-simplify]: Simplify 0 into 0 9.073 * [taylor]: Taking taylor expansion of 0 in J 9.073 * [backup-simplify]: Simplify 0 into 0 9.073 * [backup-simplify]: Simplify 0 into 0 9.074 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 9.074 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 9.075 * [backup-simplify]: 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 9.076 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 9.078 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into 0 9.079 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 9.080 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 9.081 * [backup-simplify]: Simplify (- 0) into 0 9.081 * [backup-simplify]: Simplify (+ 0 0) into 0 9.082 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 9.084 * [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 0 1) 1)))) into 0 9.084 * [taylor]: Taking taylor expansion of 0 in J 9.084 * [backup-simplify]: Simplify 0 into 0 9.084 * [backup-simplify]: Simplify 0 into 0 9.084 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (* 2 (log (/ 1 (- J)))) (log (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)))) (* 2 (log (/ 1 (- U))))))) into (exp (* 1/4 (- (+ (log (/ 1/4 (pow (cos (* 1/2 K)) 2))) (* 2 (log (/ -1 J)))) (* 2 (log (/ -1 U)))))) 9.084 * * * [progress]: simplifying candidates 9.085 * * * * [progress]: [ 1 / 88 ] simplifiying candidate # 9.085 * * * * [progress]: [ 2 / 88 ] simplifiying candidate # 9.085 * * * * [progress]: [ 3 / 88 ] simplifiying candidate # 9.085 * * * * [progress]: [ 4 / 88 ] simplifiying candidate # 9.085 * * * * [progress]: [ 5 / 88 ] simplifiying candidate # 9.085 * * * * [progress]: [ 6 / 88 ] simplifiying candidate # 9.085 * * * * [progress]: [ 7 / 88 ] simplifiying candidate # 9.085 * * * * [progress]: [ 8 / 88 ] simplifiying candidate # 9.085 * * * * [progress]: [ 9 / 88 ] simplifiying candidate # 9.085 * * * * [progress]: [ 10 / 88 ] simplifiying candidate # 9.085 * * * * [progress]: [ 11 / 88 ] simplifiying candidate # 9.086 * * * * [progress]: [ 12 / 88 ] simplifiying candidate # 9.086 * * * * [progress]: [ 13 / 88 ] simplifiying candidate # 9.086 * * * * [progress]: [ 14 / 88 ] simplifiying candidate # 9.086 * * * * [progress]: [ 15 / 88 ] simplifiying candidate # 9.086 * * * * [progress]: [ 16 / 88 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))> 9.086 * * * * [progress]: [ 17 / 88 ] simplifiying candidate # 9.086 * * * * [progress]: [ 18 / 88 ] simplifiying candidate # 9.086 * * * * [progress]: [ 19 / 88 ] simplifiying candidate # 9.086 * * * * [progress]: [ 20 / 88 ] simplifiying candidate # 9.086 * * * * [progress]: [ 21 / 88 ] simplifiying candidate # 9.086 * * * * [progress]: [ 22 / 88 ] simplifiying candidate # 9.086 * * * * [progress]: [ 23 / 88 ] simplifiying candidate # 9.087 * * * * [progress]: [ 24 / 88 ] simplifiying candidate # 9.087 * * * * [progress]: [ 25 / 88 ] simplifiying candidate # 9.087 * * * * [progress]: [ 26 / 88 ] simplifiying candidate # 9.087 * * * * [progress]: [ 27 / 88 ] simplifiying candidate # 9.087 * * * * [progress]: [ 28 / 88 ] simplifiying candidate # 9.087 * * * * [progress]: [ 29 / 88 ] simplifiying candidate # 9.087 * * * * [progress]: [ 30 / 88 ] simplifiying candidate # 9.087 * * * * [progress]: [ 31 / 88 ] simplifiying candidate # 9.087 * * * * [progress]: [ 32 / 88 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))> 9.087 * * * * [progress]: [ 33 / 88 ] simplifiying candidate # 9.087 * * * * [progress]: [ 34 / 88 ] simplifiying candidate # 9.087 * * * * [progress]: [ 35 / 88 ] simplifiying candidate # 9.088 * * * * [progress]: [ 36 / 88 ] simplifiying candidate # 9.088 * * * * [progress]: [ 37 / 88 ] simplifiying candidate # 9.088 * * * * [progress]: [ 38 / 88 ] simplifiying candidate # 9.088 * * * * [progress]: [ 39 / 88 ] simplifiying candidate # 9.088 * * * * [progress]: [ 40 / 88 ] simplifiying candidate # 9.088 * * * * [progress]: [ 41 / 88 ] simplifiying candidate # 9.088 * * * * [progress]: [ 42 / 88 ] simplifiying candidate # 9.088 * * * * [progress]: [ 43 / 88 ] simplifiying candidate # 9.088 * * * * [progress]: [ 44 / 88 ] simplifiying candidate # 9.088 * * * * [progress]: [ 45 / 88 ] simplifiying candidate # 9.088 * * * * [progress]: [ 46 / 88 ] simplifiying candidate # 9.088 * * * * [progress]: [ 47 / 88 ] simplifiying candidate # 9.089 * * * * [progress]: [ 48 / 88 ] simplifiying candidate # 9.089 * * * * [progress]: [ 49 / 88 ] simplifiying candidate # 9.089 * * * * [progress]: [ 50 / 88 ] simplifiying candidate # 9.089 * * * * [progress]: [ 51 / 88 ] simplifiying candidate # 9.089 * * * * [progress]: [ 52 / 88 ] simplifiying candidate # 9.089 * * * * [progress]: [ 53 / 88 ] simplifiying candidate # 9.089 * * * * [progress]: [ 54 / 88 ] simplifiying candidate #real (real->posit16 (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))))> 9.089 * * * * [progress]: [ 55 / 88 ] simplifiying candidate # 9.089 * * * * [progress]: [ 56 / 88 ] simplifiying candidate # 9.089 * * * * [progress]: [ 57 / 88 ] simplifiying candidate # 9.089 * * * * [progress]: [ 58 / 88 ] simplifiying candidate # 9.089 * * * * [progress]: [ 59 / 88 ] simplifiying candidate # 9.089 * * * * [progress]: [ 60 / 88 ] simplifiying candidate # 9.090 * * * * [progress]: [ 61 / 88 ] simplifiying candidate # 9.090 * * * * [progress]: [ 62 / 88 ] simplifiying candidate # 9.090 * * * * [progress]: [ 63 / 88 ] simplifiying candidate # 9.090 * * * * [progress]: [ 64 / 88 ] simplifiying candidate # 9.090 * * * * [progress]: [ 65 / 88 ] simplifiying candidate # 9.090 * * * * [progress]: [ 66 / 88 ] simplifiying candidate # 9.090 * * * * [progress]: [ 67 / 88 ] simplifiying candidate # 9.090 * * * * [progress]: [ 68 / 88 ] simplifiying candidate # 9.090 * * * * [progress]: [ 69 / 88 ] simplifiying candidate # 9.090 * * * * [progress]: [ 70 / 88 ] simplifiying candidate # 9.091 * * * * [progress]: [ 71 / 88 ] simplifiying candidate # 9.091 * * * * [progress]: [ 72 / 88 ] simplifiying candidate # 9.091 * * * * [progress]: [ 73 / 88 ] simplifiying candidate # 9.091 * * * * [progress]: [ 74 / 88 ] simplifiying candidate # 9.091 * * * * [progress]: [ 75 / 88 ] simplifiying candidate # 9.091 * * * * [progress]: [ 76 / 88 ] simplifiying candidate #real (real->posit16 (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))))> 9.091 * * * * [progress]: [ 77 / 88 ] simplifiying candidate # 9.091 * * * * [progress]: [ 78 / 88 ] simplifiying candidate # 9.091 * * * * [progress]: [ 79 / 88 ] simplifiying candidate # 9.091 * * * * [progress]: [ 80 / 88 ] simplifiying candidate # 9.091 * * * * [progress]: [ 81 / 88 ] simplifiying candidate # 9.091 * * * * [progress]: [ 82 / 88 ] simplifiying candidate # 9.091 * * * * [progress]: [ 83 / 88 ] simplifiying candidate # 9.092 * * * * [progress]: [ 84 / 88 ] simplifiying candidate # 9.092 * * * * [progress]: [ 85 / 88 ] simplifiying candidate # 9.092 * * * * [progress]: [ 86 / 88 ] simplifiying candidate # 9.092 * * * * [progress]: [ 87 / 88 ] simplifiying candidate # 9.092 * * * * [progress]: [ 88 / 88 ] simplifiying candidate # 9.094 * [simplify]: Simplifying: (log (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (exp (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (* (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (* (* (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (* (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt 1) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (sqrt (+ (pow (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (- (* 1 1) (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (- (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (* 1 1))) (sqrt (- (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (/ 1 2) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (real->posit16 (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (log (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (exp (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (* (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (* (* (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (* (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt 1) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (sqrt (+ (pow (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (- (* 1 1) (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (- (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (* 1 1))) (sqrt (- (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (/ 1 2) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (real->posit16 (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (log (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (exp (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (* (cbrt (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (* (* (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (* (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (sqrt (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (sqrt (* (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (sqrt (sqrt (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (sqrt 1)) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt 1) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (sqrt (+ (pow (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 3) (pow 1 3)))) (sqrt (sqrt (+ (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (- (* 1 1) (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (sqrt (sqrt (- (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (* 1 1)))) (sqrt (sqrt (- (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (real->posit16 (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (log (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (exp (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (* (cbrt (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (cbrt (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (* (* (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (* (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (sqrt (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (sqrt (* (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (sqrt (sqrt (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (sqrt 1)) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt 1) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (sqrt (+ (pow (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 3) (pow 1 3)))) (sqrt (sqrt (+ (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (- (* 1 1) (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (sqrt (sqrt (- (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (* 1 1)))) (sqrt (sqrt (- (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (real->posit16 (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 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)))))) 9.098 * * [simplify]: iteration 0: 92 enodes 9.146 * * [simplify]: iteration 1: 182 enodes 9.224 * * [simplify]: iteration 2: 492 enodes 9.439 * * [simplify]: iteration 3: 2018 enodes 10.026 * * [simplify]: iteration complete: 2018 enodes 10.026 * * [simplify]: Extracting #0: cost 35 inf + 0 10.026 * * [simplify]: Extracting #1: cost 113 inf + 3 10.027 * * [simplify]: Extracting #2: cost 296 inf + 202 10.029 * * [simplify]: Extracting #3: cost 684 inf + 1132 10.032 * * [simplify]: Extracting #4: cost 794 inf + 9520 10.039 * * [simplify]: Extracting #5: cost 655 inf + 43136 10.062 * * [simplify]: Extracting #6: cost 504 inf + 84893 10.125 * * [simplify]: Extracting #7: cost 162 inf + 206571 10.220 * * [simplify]: Extracting #8: cost 21 inf + 263158 10.297 * * [simplify]: Extracting #9: cost 0 inf + 272546 10.397 * [simplify]: Simplified to: (log (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1))) (exp (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1))) (* (cbrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1))) (cbrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1)))) (cbrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1))) (* (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1) (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1))) (fabs (cbrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1))) (sqrt (cbrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1))) (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1))) (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1))) 1 (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1)) (sqrt (+ (* (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (/ (/ (/ U (cos (/ K 2))) J) 2))) 1)) (sqrt (+ (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) (- 1 (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))))) (sqrt (- (* (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2))) 1)) (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) -1)) 1/2 (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1))) (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1))) (real->posit16 (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1))) (log (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 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(/ K 2))) J) 2)) 1)))) (exp (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1)))) (* (cbrt (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1)))) (cbrt (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1))))) (cbrt (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1)))) (* (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1))) (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1))) (fabs (cbrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1)))) (sqrt (cbrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1)))) (sqrt (fabs (cbrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1)))) (sqrt (sqrt (cbrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1)))) (sqrt (sqrt (sqrt (+ (* (/ (/ (/ U (cos 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2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1)))) (real->posit16 (sqrt (sqrt (+ (* (/ (/ (/ U (cos (/ K 2))) J) 2) (/ (/ (/ U (cos (/ K 2))) J) 2)) 1)))) 1 (* 1/2 (/ (/ U J) (cos (* K 1/2)))) (* 1/2 (/ (/ U J) (cos (* K 1/2)))) 1 (* 1/2 (/ (/ U J) (cos (* K 1/2)))) (* 1/2 (/ (/ U J) (cos (* K 1/2)))) 1 (exp (* (+ (log (/ 1/4 (* (cos (* K 1/2)) (cos (* K 1/2))))) (* 2 (+ (- (log J)) (log U)))) 1/4)) (exp (* (+ (* 2 (- (log (/ -1 J)) (log (/ -1 U)))) (log (/ 1/4 (* (cos (* K 1/2)) (cos (* K 1/2)))))) 1/4)) 1 (exp (* (+ (log (/ 1/4 (* (cos (* K 1/2)) (cos (* K 1/2))))) (* 2 (+ (- (log J)) (log U)))) 1/4)) (exp (* (+ (* 2 (- (log (/ -1 J)) (log (/ -1 U)))) (log (/ 1/4 (* (cos (* K 1/2)) (cos (* K 1/2)))))) 1/4)) 10.422 * * * [progress]: adding candidates to table 11.024 * * [progress]: iteration 4 / 4 11.024 * * * [progress]: picking best candidate 11.078 * * * * [pick]: Picked # 11.078 * * * [progress]: localizing error 11.160 * * * [progress]: generating rewritten candidates 11.161 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 11.333 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 12.126 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 12.353 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 12.355 * * * [progress]: generating series expansions 12.355 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 12.355 * [backup-simplify]: Simplify (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) 12.355 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U K J) around 0 12.355 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 12.355 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 12.355 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 12.355 * [taylor]: Taking taylor expansion of 1/4 in J 12.355 * [backup-simplify]: Simplify 1/4 into 1/4 12.355 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 12.355 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.355 * [taylor]: Taking taylor expansion of U in J 12.355 * [backup-simplify]: Simplify U into U 12.355 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 12.355 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 12.355 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 12.355 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 12.355 * [taylor]: Taking taylor expansion of 1/2 in J 12.355 * [backup-simplify]: Simplify 1/2 into 1/2 12.355 * [taylor]: Taking taylor expansion of K in J 12.355 * [backup-simplify]: Simplify K into K 12.355 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.355 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.355 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.355 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.356 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.356 * [backup-simplify]: Simplify (- 0) into 0 12.356 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.356 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.356 * [taylor]: Taking taylor expansion of J in J 12.356 * [backup-simplify]: Simplify 0 into 0 12.356 * [backup-simplify]: Simplify 1 into 1 12.356 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.356 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.357 * [backup-simplify]: Simplify (* 1 1) into 1 12.357 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 12.357 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 12.357 * [taylor]: Taking taylor expansion of 1 in J 12.357 * [backup-simplify]: Simplify 1 into 1 12.357 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 12.357 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 12.357 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 12.357 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.358 * [backup-simplify]: Simplify (+ 0) into 0 12.358 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 12.359 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 12.359 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.360 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 12.360 * [backup-simplify]: Simplify (- 0) into 0 12.360 * [backup-simplify]: Simplify (+ 0 0) into 0 12.360 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 12.361 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 12.361 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 12.361 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 12.361 * [backup-simplify]: Simplify (+ 0 0) into 0 12.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 12.362 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 12.362 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 12.362 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 12.362 * [taylor]: Taking taylor expansion of 1/4 in K 12.362 * [backup-simplify]: Simplify 1/4 into 1/4 12.362 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 12.362 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.362 * [taylor]: Taking taylor expansion of U in K 12.362 * [backup-simplify]: Simplify U into U 12.362 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 12.362 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 12.362 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 12.362 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 12.362 * [taylor]: Taking taylor expansion of 1/2 in K 12.362 * [backup-simplify]: Simplify 1/2 into 1/2 12.362 * [taylor]: Taking taylor expansion of K in K 12.362 * [backup-simplify]: Simplify 0 into 0 12.362 * [backup-simplify]: Simplify 1 into 1 12.362 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.363 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.363 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.363 * [taylor]: Taking taylor expansion of J in K 12.363 * [backup-simplify]: Simplify J into J 12.363 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.365 * [backup-simplify]: Simplify (* 1 1) into 1 12.365 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.365 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 12.365 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 12.365 * [taylor]: Taking taylor expansion of 1 in K 12.365 * [backup-simplify]: Simplify 1 into 1 12.365 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 12.365 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 12.366 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 12.366 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.366 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.366 * [backup-simplify]: Simplify (+ 0) into 0 12.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 12.367 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 12.367 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 12.368 * [backup-simplify]: Simplify (+ 0 0) into 0 12.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 12.368 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 12.368 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 12.368 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 12.368 * [taylor]: Taking taylor expansion of 1/4 in U 12.368 * [backup-simplify]: Simplify 1/4 into 1/4 12.368 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 12.368 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.368 * [taylor]: Taking taylor expansion of U in U 12.368 * [backup-simplify]: Simplify 0 into 0 12.368 * [backup-simplify]: Simplify 1 into 1 12.368 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 12.368 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 12.368 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 12.368 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 12.368 * [taylor]: Taking taylor expansion of 1/2 in U 12.368 * [backup-simplify]: Simplify 1/2 into 1/2 12.368 * [taylor]: Taking taylor expansion of K in U 12.368 * [backup-simplify]: Simplify K into K 12.368 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.368 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.368 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.368 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.368 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.368 * [backup-simplify]: Simplify (- 0) into 0 12.369 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.369 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.369 * [taylor]: Taking taylor expansion of J in U 12.369 * [backup-simplify]: Simplify J into J 12.369 * [backup-simplify]: Simplify (* 1 1) into 1 12.369 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.369 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.369 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 12.369 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.369 * [taylor]: Taking taylor expansion of 1 in U 12.369 * [backup-simplify]: Simplify 1 into 1 12.369 * [backup-simplify]: Simplify (+ 0 1) into 1 12.370 * [backup-simplify]: Simplify (sqrt 1) into 1 12.370 * [backup-simplify]: Simplify (+ 0 0) into 0 12.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.370 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 12.370 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 12.370 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 12.370 * [taylor]: Taking taylor expansion of 1/4 in U 12.370 * [backup-simplify]: Simplify 1/4 into 1/4 12.370 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 12.370 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.370 * [taylor]: Taking taylor expansion of U in U 12.371 * [backup-simplify]: Simplify 0 into 0 12.371 * [backup-simplify]: Simplify 1 into 1 12.371 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 12.371 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 12.371 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 12.371 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 12.371 * [taylor]: Taking taylor expansion of 1/2 in U 12.371 * [backup-simplify]: Simplify 1/2 into 1/2 12.371 * [taylor]: Taking taylor expansion of K in U 12.371 * [backup-simplify]: Simplify K into K 12.371 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.371 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.371 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.371 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.371 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.371 * [backup-simplify]: Simplify (- 0) into 0 12.371 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.371 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.371 * [taylor]: Taking taylor expansion of J in U 12.371 * [backup-simplify]: Simplify J into J 12.371 * [backup-simplify]: Simplify (* 1 1) into 1 12.372 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.372 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.372 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 12.372 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.372 * [taylor]: Taking taylor expansion of 1 in U 12.372 * [backup-simplify]: Simplify 1 into 1 12.372 * [backup-simplify]: Simplify (+ 0 1) into 1 12.372 * [backup-simplify]: Simplify (sqrt 1) into 1 12.373 * [backup-simplify]: Simplify (+ 0 0) into 0 12.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.373 * [taylor]: Taking taylor expansion of 1 in K 12.373 * [backup-simplify]: Simplify 1 into 1 12.373 * [taylor]: Taking taylor expansion of 1 in J 12.373 * [backup-simplify]: Simplify 1 into 1 12.373 * [taylor]: Taking taylor expansion of 0 in K 12.373 * [backup-simplify]: Simplify 0 into 0 12.373 * [taylor]: Taking taylor expansion of 0 in J 12.373 * [backup-simplify]: Simplify 0 into 0 12.373 * [taylor]: Taking taylor expansion of 0 in J 12.373 * [backup-simplify]: Simplify 0 into 0 12.373 * [backup-simplify]: Simplify 1 into 1 12.373 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.374 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 12.375 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.375 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 12.375 * [taylor]: Taking taylor expansion of 1/8 in K 12.375 * [backup-simplify]: Simplify 1/8 into 1/8 12.375 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 12.375 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 12.375 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 12.375 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 12.375 * [taylor]: Taking taylor expansion of 1/2 in K 12.375 * [backup-simplify]: Simplify 1/2 into 1/2 12.375 * [taylor]: Taking taylor expansion of K in K 12.375 * [backup-simplify]: Simplify 0 into 0 12.375 * [backup-simplify]: Simplify 1 into 1 12.375 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.376 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.376 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.376 * [taylor]: Taking taylor expansion of J in K 12.376 * [backup-simplify]: Simplify J into J 12.377 * [backup-simplify]: Simplify (* 1 1) into 1 12.377 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.377 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 12.377 * [backup-simplify]: Simplify (/ 1/8 (pow J 2)) into (/ 1/8 (pow J 2)) 12.377 * [taylor]: Taking taylor expansion of (/ 1/8 (pow J 2)) in J 12.377 * [taylor]: Taking taylor expansion of 1/8 in J 12.377 * [backup-simplify]: Simplify 1/8 into 1/8 12.377 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.377 * [taylor]: Taking taylor expansion of J in J 12.377 * [backup-simplify]: Simplify 0 into 0 12.377 * [backup-simplify]: Simplify 1 into 1 12.378 * [backup-simplify]: Simplify (* 1 1) into 1 12.378 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 12.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 12.379 * [backup-simplify]: Simplify 0 into 0 12.379 * [taylor]: Taking taylor expansion of 0 in J 12.379 * [backup-simplify]: Simplify 0 into 0 12.379 * [taylor]: Taking taylor expansion of 0 in J 12.379 * [backup-simplify]: Simplify 0 into 0 12.379 * [backup-simplify]: Simplify 0 into 0 12.379 * [backup-simplify]: Simplify 0 into 0 12.379 * [backup-simplify]: Simplify 0 into 0 12.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.380 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.380 * [backup-simplify]: Simplify (+ 0) into 0 12.380 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 12.380 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 12.381 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.381 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 12.381 * [backup-simplify]: Simplify (- 0) into 0 12.382 * [backup-simplify]: Simplify (+ 0 0) into 0 12.382 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 12.382 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0 12.382 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (+ (* (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) (/ 0 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0 12.383 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0 12.383 * [backup-simplify]: Simplify (+ 0 0) into 0 12.383 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0 12.383 * [taylor]: Taking taylor expansion of 0 in K 12.383 * [backup-simplify]: Simplify 0 into 0 12.383 * [taylor]: Taking taylor expansion of 0 in J 12.383 * [backup-simplify]: Simplify 0 into 0 12.383 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.384 * [backup-simplify]: Simplify (+ 0) into 0 12.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 12.384 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ 1/8 (pow J 2)) (/ 0 (pow J 2))))) into 0 12.384 * [taylor]: Taking taylor expansion of 0 in J 12.384 * [backup-simplify]: Simplify 0 into 0 12.385 * [taylor]: Taking taylor expansion of 0 in J 12.385 * [backup-simplify]: Simplify 0 into 0 12.385 * [taylor]: Taking taylor expansion of 0 in J 12.385 * [backup-simplify]: Simplify 0 into 0 12.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.386 * [backup-simplify]: Simplify 0 into 0 12.386 * [backup-simplify]: Simplify 0 into 0 12.386 * [backup-simplify]: Simplify 1 into 1 12.386 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J)))) (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J))))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 12.386 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U K J) around 0 12.386 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 12.386 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 12.386 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 12.386 * [taylor]: Taking taylor expansion of 1/4 in J 12.386 * [backup-simplify]: Simplify 1/4 into 1/4 12.386 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 12.386 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.386 * [taylor]: Taking taylor expansion of J in J 12.386 * [backup-simplify]: Simplify 0 into 0 12.386 * [backup-simplify]: Simplify 1 into 1 12.386 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 12.386 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.386 * [taylor]: Taking taylor expansion of U in J 12.386 * [backup-simplify]: Simplify U into U 12.386 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 12.386 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.386 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.386 * [taylor]: Taking taylor expansion of 1/2 in J 12.386 * [backup-simplify]: Simplify 1/2 into 1/2 12.386 * [taylor]: Taking taylor expansion of K in J 12.386 * [backup-simplify]: Simplify K into K 12.387 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.387 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.387 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.387 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.387 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.387 * [backup-simplify]: Simplify (- 0) into 0 12.387 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.387 * [backup-simplify]: Simplify (* 1 1) into 1 12.387 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.387 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.388 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 12.388 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 12.388 * [taylor]: Taking taylor expansion of 1 in J 12.388 * [backup-simplify]: Simplify 1 into 1 12.388 * [backup-simplify]: Simplify (+ 0 1) into 1 12.388 * [backup-simplify]: Simplify (sqrt 1) into 1 12.388 * [backup-simplify]: Simplify (+ 0 0) into 0 12.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.389 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 12.389 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 12.389 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 12.389 * [taylor]: Taking taylor expansion of 1/4 in K 12.389 * [backup-simplify]: Simplify 1/4 into 1/4 12.389 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 12.389 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.389 * [taylor]: Taking taylor expansion of J in K 12.389 * [backup-simplify]: Simplify J into J 12.389 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 12.389 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.389 * [taylor]: Taking taylor expansion of U in K 12.389 * [backup-simplify]: Simplify U into U 12.389 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 12.389 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.389 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.389 * [taylor]: Taking taylor expansion of 1/2 in K 12.389 * [backup-simplify]: Simplify 1/2 into 1/2 12.389 * [taylor]: Taking taylor expansion of K in K 12.389 * [backup-simplify]: Simplify 0 into 0 12.389 * [backup-simplify]: Simplify 1 into 1 12.390 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.390 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.390 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.390 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.390 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.390 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 12.390 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 12.390 * [taylor]: Taking taylor expansion of 1 in K 12.390 * [backup-simplify]: Simplify 1 into 1 12.390 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 12.390 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 12.391 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 12.391 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.391 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.391 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.391 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.391 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 12.392 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 12.392 * [backup-simplify]: Simplify (+ 0 0) into 0 12.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 12.392 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 12.392 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 12.392 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 12.392 * [taylor]: Taking taylor expansion of 1/4 in U 12.392 * [backup-simplify]: Simplify 1/4 into 1/4 12.392 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 12.392 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.392 * [taylor]: Taking taylor expansion of J in U 12.392 * [backup-simplify]: Simplify J into J 12.392 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 12.392 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.392 * [taylor]: Taking taylor expansion of U in U 12.392 * [backup-simplify]: Simplify 0 into 0 12.392 * [backup-simplify]: Simplify 1 into 1 12.392 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 12.392 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 12.392 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 12.392 * [taylor]: Taking taylor expansion of 1/2 in U 12.392 * [backup-simplify]: Simplify 1/2 into 1/2 12.392 * [taylor]: Taking taylor expansion of K in U 12.393 * [backup-simplify]: Simplify K into K 12.393 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.393 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.393 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.393 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.393 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.393 * [backup-simplify]: Simplify (- 0) into 0 12.393 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.393 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.393 * [backup-simplify]: Simplify (* 1 1) into 1 12.393 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.393 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 12.394 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 12.394 * [taylor]: Taking taylor expansion of 1 in U 12.394 * [backup-simplify]: Simplify 1 into 1 12.394 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 12.394 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 12.394 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 12.394 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.394 * [backup-simplify]: Simplify (+ 0) into 0 12.395 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.395 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.395 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.395 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.396 * [backup-simplify]: Simplify (- 0) into 0 12.396 * [backup-simplify]: Simplify (+ 0 0) into 0 12.396 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.398 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.398 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 12.399 * [backup-simplify]: Simplify (+ 0 0) into 0 12.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 12.399 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 12.399 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 12.399 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 12.399 * [taylor]: Taking taylor expansion of 1/4 in U 12.399 * [backup-simplify]: Simplify 1/4 into 1/4 12.399 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 12.399 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.399 * [taylor]: Taking taylor expansion of J in U 12.399 * [backup-simplify]: Simplify J into J 12.399 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 12.399 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.399 * [taylor]: Taking taylor expansion of U in U 12.399 * [backup-simplify]: Simplify 0 into 0 12.399 * [backup-simplify]: Simplify 1 into 1 12.399 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 12.399 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 12.399 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 12.399 * [taylor]: Taking taylor expansion of 1/2 in U 12.399 * [backup-simplify]: Simplify 1/2 into 1/2 12.399 * [taylor]: Taking taylor expansion of K in U 12.399 * [backup-simplify]: Simplify K into K 12.399 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.399 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.399 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.400 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.400 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.400 * [backup-simplify]: Simplify (- 0) into 0 12.400 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.400 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.400 * [backup-simplify]: Simplify (* 1 1) into 1 12.401 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.401 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 12.401 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 12.401 * [taylor]: Taking taylor expansion of 1 in U 12.401 * [backup-simplify]: Simplify 1 into 1 12.401 * [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))) 12.401 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 12.402 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 12.402 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.402 * [backup-simplify]: Simplify (+ 0) into 0 12.403 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.403 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.403 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.404 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.404 * [backup-simplify]: Simplify (- 0) into 0 12.405 * [backup-simplify]: Simplify (+ 0 0) into 0 12.405 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.406 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.407 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 12.407 * [backup-simplify]: Simplify (+ 0 0) into 0 12.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 12.408 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in K 12.408 * [taylor]: Taking taylor expansion of 1/2 in K 12.408 * [backup-simplify]: Simplify 1/2 into 1/2 12.408 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in K 12.408 * [taylor]: Taking taylor expansion of J in K 12.408 * [backup-simplify]: Simplify J into J 12.408 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.408 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.408 * [taylor]: Taking taylor expansion of 1/2 in K 12.408 * [backup-simplify]: Simplify 1/2 into 1/2 12.408 * [taylor]: Taking taylor expansion of K in K 12.408 * [backup-simplify]: Simplify 0 into 0 12.408 * [backup-simplify]: Simplify 1 into 1 12.408 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.408 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.408 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K))) 12.409 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 12.409 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J 12.409 * [taylor]: Taking taylor expansion of 1/2 in J 12.409 * [backup-simplify]: Simplify 1/2 into 1/2 12.409 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J 12.409 * [taylor]: Taking taylor expansion of J in J 12.409 * [backup-simplify]: Simplify 0 into 0 12.409 * [backup-simplify]: Simplify 1 into 1 12.409 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.409 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.409 * [taylor]: Taking taylor expansion of 1/2 in J 12.409 * [backup-simplify]: Simplify 1/2 into 1/2 12.409 * [taylor]: Taking taylor expansion of K in J 12.409 * [backup-simplify]: Simplify K into K 12.409 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.409 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.409 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.409 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.409 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.411 * [backup-simplify]: Simplify (- 0) into 0 12.412 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.412 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 12.412 * [taylor]: Taking taylor expansion of 0 in K 12.412 * [backup-simplify]: Simplify 0 into 0 12.412 * [taylor]: Taking taylor expansion of 0 in J 12.412 * [backup-simplify]: Simplify 0 into 0 12.412 * [backup-simplify]: Simplify 0 into 0 12.412 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 12.413 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0 12.413 * [taylor]: Taking taylor expansion of 0 in J 12.413 * [backup-simplify]: Simplify 0 into 0 12.413 * [backup-simplify]: Simplify 0 into 0 12.413 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) 12.413 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) 12.413 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 12.414 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.415 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.415 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.416 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.416 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.417 * [backup-simplify]: Simplify (- 0) into 0 12.417 * [backup-simplify]: Simplify (+ 0 0) into 0 12.417 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 12.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 12.420 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.421 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0 12.421 * [backup-simplify]: Simplify (+ 0 1) into 1 12.422 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J) 12.422 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 12.422 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.422 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.422 * [taylor]: Taking taylor expansion of 1/2 in K 12.422 * [backup-simplify]: Simplify 1/2 into 1/2 12.422 * [taylor]: Taking taylor expansion of K in K 12.422 * [backup-simplify]: Simplify 0 into 0 12.422 * [backup-simplify]: Simplify 1 into 1 12.422 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.422 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.423 * [taylor]: Taking taylor expansion of J in K 12.423 * [backup-simplify]: Simplify J into J 12.423 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 12.423 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 12.423 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.423 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.423 * [taylor]: Taking taylor expansion of 1/2 in J 12.423 * [backup-simplify]: Simplify 1/2 into 1/2 12.423 * [taylor]: Taking taylor expansion of K in J 12.423 * [backup-simplify]: Simplify K into K 12.423 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.423 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.423 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.423 * [taylor]: Taking taylor expansion of J in J 12.423 * [backup-simplify]: Simplify 0 into 0 12.423 * [backup-simplify]: Simplify 1 into 1 12.423 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.423 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.424 * [backup-simplify]: Simplify (- 0) into 0 12.424 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.424 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.424 * [backup-simplify]: Simplify (+ 0) into 0 12.425 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.425 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.425 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.426 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.426 * [backup-simplify]: Simplify (- 0) into 0 12.426 * [backup-simplify]: Simplify (+ 0 0) into 0 12.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 12.427 * [backup-simplify]: Simplify 0 into 0 12.427 * [taylor]: Taking taylor expansion of 0 in J 12.427 * [backup-simplify]: Simplify 0 into 0 12.427 * [backup-simplify]: Simplify 0 into 0 12.428 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 12.429 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0 12.429 * [taylor]: Taking taylor expansion of 0 in J 12.429 * [backup-simplify]: Simplify 0 into 0 12.429 * [backup-simplify]: Simplify 0 into 0 12.429 * [backup-simplify]: Simplify 0 into 0 12.429 * [backup-simplify]: Simplify 0 into 0 12.429 * [backup-simplify]: Simplify (+ 0) into 0 12.430 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.430 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.431 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.431 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.431 * [backup-simplify]: Simplify (- 0) into 0 12.432 * [backup-simplify]: Simplify (+ 0 0) into 0 12.432 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 12.432 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 12.432 * [backup-simplify]: Simplify 0 into 0 12.433 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* (/ 1 J) (* 1 (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 12.433 * [backup-simplify]: Simplify (sqrt (+ (* (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J))))) (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))))) 1)) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 12.433 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U K J) around 0 12.433 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 12.433 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 12.433 * [taylor]: Taking taylor expansion of 1 in J 12.433 * [backup-simplify]: Simplify 1 into 1 12.433 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 12.433 * [taylor]: Taking taylor expansion of 1/4 in J 12.433 * [backup-simplify]: Simplify 1/4 into 1/4 12.434 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 12.434 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.434 * [taylor]: Taking taylor expansion of J in J 12.434 * [backup-simplify]: Simplify 0 into 0 12.434 * [backup-simplify]: Simplify 1 into 1 12.434 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 12.434 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 12.434 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.434 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.434 * [taylor]: Taking taylor expansion of -1/2 in J 12.434 * [backup-simplify]: Simplify -1/2 into -1/2 12.434 * [taylor]: Taking taylor expansion of K in J 12.434 * [backup-simplify]: Simplify K into K 12.434 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.434 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.434 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.434 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.434 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.435 * [backup-simplify]: Simplify (- 0) into 0 12.435 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.435 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.435 * [taylor]: Taking taylor expansion of U in J 12.435 * [backup-simplify]: Simplify U into U 12.435 * [backup-simplify]: Simplify (* 1 1) into 1 12.435 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.435 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.435 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 12.436 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 12.436 * [backup-simplify]: Simplify (+ 1 0) into 1 12.436 * [backup-simplify]: Simplify (sqrt 1) into 1 12.437 * [backup-simplify]: Simplify (+ 0 0) into 0 12.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.437 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 12.437 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 12.437 * [taylor]: Taking taylor expansion of 1 in K 12.437 * [backup-simplify]: Simplify 1 into 1 12.437 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 12.437 * [taylor]: Taking taylor expansion of 1/4 in K 12.438 * [backup-simplify]: Simplify 1/4 into 1/4 12.438 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 12.438 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.438 * [taylor]: Taking taylor expansion of J in K 12.438 * [backup-simplify]: Simplify J into J 12.438 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 12.438 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 12.438 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 12.438 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 12.438 * [taylor]: Taking taylor expansion of -1/2 in K 12.438 * [backup-simplify]: Simplify -1/2 into -1/2 12.438 * [taylor]: Taking taylor expansion of K in K 12.438 * [backup-simplify]: Simplify 0 into 0 12.438 * [backup-simplify]: Simplify 1 into 1 12.438 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.438 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.438 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.438 * [taylor]: Taking taylor expansion of U in K 12.438 * [backup-simplify]: Simplify U into U 12.438 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.439 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.439 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.439 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 12.439 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 12.439 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 12.439 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 12.440 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 12.440 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.440 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.440 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.440 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 12.441 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 12.442 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 12.442 * [backup-simplify]: Simplify (+ 0 0) into 0 12.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 12.442 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 12.443 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 12.443 * [taylor]: Taking taylor expansion of 1 in U 12.443 * [backup-simplify]: Simplify 1 into 1 12.443 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 12.443 * [taylor]: Taking taylor expansion of 1/4 in U 12.443 * [backup-simplify]: Simplify 1/4 into 1/4 12.443 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 12.443 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.443 * [taylor]: Taking taylor expansion of J in U 12.443 * [backup-simplify]: Simplify J into J 12.443 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 12.443 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 12.443 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 12.443 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 12.443 * [taylor]: Taking taylor expansion of -1/2 in U 12.443 * [backup-simplify]: Simplify -1/2 into -1/2 12.443 * [taylor]: Taking taylor expansion of K in U 12.443 * [backup-simplify]: Simplify K into K 12.443 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.443 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.443 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.443 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.443 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.444 * [backup-simplify]: Simplify (- 0) into 0 12.444 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.444 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.444 * [taylor]: Taking taylor expansion of U in U 12.444 * [backup-simplify]: Simplify 0 into 0 12.444 * [backup-simplify]: Simplify 1 into 1 12.444 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.444 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.444 * [backup-simplify]: Simplify (* 1 1) into 1 12.444 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 12.445 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 12.445 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 12.445 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 12.445 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 12.445 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.446 * [backup-simplify]: Simplify (+ 0) into 0 12.447 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.447 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.448 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.448 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.448 * [backup-simplify]: Simplify (- 0) into 0 12.449 * [backup-simplify]: Simplify (+ 0 0) into 0 12.449 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.449 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 12.450 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.450 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 12.451 * [backup-simplify]: Simplify (+ 0 0) into 0 12.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 12.451 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 12.451 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 12.451 * [taylor]: Taking taylor expansion of 1 in U 12.451 * [backup-simplify]: Simplify 1 into 1 12.451 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 12.451 * [taylor]: Taking taylor expansion of 1/4 in U 12.451 * [backup-simplify]: Simplify 1/4 into 1/4 12.451 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 12.451 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.451 * [taylor]: Taking taylor expansion of J in U 12.451 * [backup-simplify]: Simplify J into J 12.451 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 12.451 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 12.451 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 12.451 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 12.451 * [taylor]: Taking taylor expansion of -1/2 in U 12.451 * [backup-simplify]: Simplify -1/2 into -1/2 12.451 * [taylor]: Taking taylor expansion of K in U 12.451 * [backup-simplify]: Simplify K into K 12.451 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.451 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.451 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.452 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.452 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.452 * [backup-simplify]: Simplify (- 0) into 0 12.452 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.452 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.452 * [taylor]: Taking taylor expansion of U in U 12.452 * [backup-simplify]: Simplify 0 into 0 12.452 * [backup-simplify]: Simplify 1 into 1 12.452 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.452 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.453 * [backup-simplify]: Simplify (* 1 1) into 1 12.453 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 12.453 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 12.453 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 12.453 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 12.454 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 12.454 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.455 * [backup-simplify]: Simplify (+ 0) into 0 12.455 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.455 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.456 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.456 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.457 * [backup-simplify]: Simplify (- 0) into 0 12.457 * [backup-simplify]: Simplify (+ 0 0) into 0 12.457 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.458 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 12.458 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.459 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 12.459 * [backup-simplify]: Simplify (+ 0 0) into 0 12.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 12.459 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in K 12.459 * [taylor]: Taking taylor expansion of 1/2 in K 12.459 * [backup-simplify]: Simplify 1/2 into 1/2 12.459 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in K 12.460 * [taylor]: Taking taylor expansion of J in K 12.460 * [backup-simplify]: Simplify J into J 12.460 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 12.460 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 12.460 * [taylor]: Taking taylor expansion of -1/2 in K 12.460 * [backup-simplify]: Simplify -1/2 into -1/2 12.460 * [taylor]: Taking taylor expansion of K in K 12.460 * [backup-simplify]: Simplify 0 into 0 12.460 * [backup-simplify]: Simplify 1 into 1 12.460 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.460 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.460 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K))) 12.460 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 12.460 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J 12.460 * [taylor]: Taking taylor expansion of 1/2 in J 12.460 * [backup-simplify]: Simplify 1/2 into 1/2 12.460 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J 12.461 * [taylor]: Taking taylor expansion of J in J 12.461 * [backup-simplify]: Simplify 0 into 0 12.461 * [backup-simplify]: Simplify 1 into 1 12.461 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.461 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.461 * [taylor]: Taking taylor expansion of -1/2 in J 12.461 * [backup-simplify]: Simplify -1/2 into -1/2 12.461 * [taylor]: Taking taylor expansion of K in J 12.461 * [backup-simplify]: Simplify K into K 12.461 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.461 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.461 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.461 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.461 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.461 * [backup-simplify]: Simplify (- 0) into 0 12.461 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.462 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) 12.462 * [taylor]: Taking taylor expansion of 0 in K 12.462 * [backup-simplify]: Simplify 0 into 0 12.462 * [taylor]: Taking taylor expansion of 0 in J 12.462 * [backup-simplify]: Simplify 0 into 0 12.462 * [backup-simplify]: Simplify 0 into 0 12.462 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 12.462 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0 12.462 * [taylor]: Taking taylor expansion of 0 in J 12.462 * [backup-simplify]: Simplify 0 into 0 12.462 * [backup-simplify]: Simplify 0 into 0 12.463 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) 12.463 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) 12.463 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0 12.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.465 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.465 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.466 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.466 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.467 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.467 * [backup-simplify]: Simplify (- 0) into 0 12.468 * [backup-simplify]: Simplify (+ 0 0) into 0 12.468 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 12.469 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 12.469 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.470 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0 12.471 * [backup-simplify]: Simplify (+ 1 0) into 1 12.472 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J) 12.472 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K 12.472 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 12.472 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 12.472 * [taylor]: Taking taylor expansion of -1/2 in K 12.472 * [backup-simplify]: Simplify -1/2 into -1/2 12.472 * [taylor]: Taking taylor expansion of K in K 12.472 * [backup-simplify]: Simplify 0 into 0 12.472 * [backup-simplify]: Simplify 1 into 1 12.472 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.472 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.472 * [taylor]: Taking taylor expansion of J in K 12.472 * [backup-simplify]: Simplify J into J 12.472 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J) 12.472 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J 12.472 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.473 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.473 * [taylor]: Taking taylor expansion of -1/2 in J 12.473 * [backup-simplify]: Simplify -1/2 into -1/2 12.473 * [taylor]: Taking taylor expansion of K in J 12.473 * [backup-simplify]: Simplify K into K 12.473 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.473 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.473 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.473 * [taylor]: Taking taylor expansion of J in J 12.473 * [backup-simplify]: Simplify 0 into 0 12.473 * [backup-simplify]: Simplify 1 into 1 12.473 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.473 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.473 * [backup-simplify]: Simplify (- 0) into 0 12.473 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.474 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.474 * [backup-simplify]: Simplify (+ 0) into 0 12.474 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.474 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.475 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.476 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.476 * [backup-simplify]: Simplify (- 0) into 0 12.476 * [backup-simplify]: Simplify (+ 0 0) into 0 12.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0 12.477 * [backup-simplify]: Simplify 0 into 0 12.477 * [taylor]: Taking taylor expansion of 0 in J 12.477 * [backup-simplify]: Simplify 0 into 0 12.477 * [backup-simplify]: Simplify 0 into 0 12.478 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 12.478 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0 12.478 * [taylor]: Taking taylor expansion of 0 in J 12.478 * [backup-simplify]: Simplify 0 into 0 12.478 * [backup-simplify]: Simplify 0 into 0 12.479 * [backup-simplify]: Simplify 0 into 0 12.479 * [backup-simplify]: Simplify 0 into 0 12.479 * [backup-simplify]: Simplify (+ 0) into 0 12.479 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.480 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.480 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.481 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.481 * [backup-simplify]: Simplify (- 0) into 0 12.481 * [backup-simplify]: Simplify (+ 0 0) into 0 12.482 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 12.482 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 12.482 * [backup-simplify]: Simplify 0 into 0 12.482 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* (/ 1 (- J)) (* 1 (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 12.482 * * * * [progress]: [ 2 / 4 ] generating series at (2) 12.483 * [backup-simplify]: Simplify (* (* (cbrt J) (cbrt J)) (* (cbrt J) (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) 12.483 * [approximate]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in (J K U) around 0 12.483 * [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 12.483 * [taylor]: Taking taylor expansion of -2 in U 12.483 * [backup-simplify]: Simplify -2 into -2 12.483 * [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 12.483 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U 12.483 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 12.483 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 12.483 * [taylor]: Taking taylor expansion of 1/2 in U 12.483 * [backup-simplify]: Simplify 1/2 into 1/2 12.483 * [taylor]: Taking taylor expansion of K in U 12.483 * [backup-simplify]: Simplify K into K 12.483 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.483 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.483 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.484 * [taylor]: Taking taylor expansion of J in U 12.484 * [backup-simplify]: Simplify J into J 12.484 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 12.484 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 12.484 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 12.484 * [taylor]: Taking taylor expansion of 1/4 in U 12.484 * [backup-simplify]: Simplify 1/4 into 1/4 12.484 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 12.484 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.484 * [taylor]: Taking taylor expansion of U in U 12.484 * [backup-simplify]: Simplify 0 into 0 12.484 * [backup-simplify]: Simplify 1 into 1 12.484 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 12.484 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 12.484 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 12.484 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 12.484 * [taylor]: Taking taylor expansion of 1/2 in U 12.484 * [backup-simplify]: Simplify 1/2 into 1/2 12.484 * [taylor]: Taking taylor expansion of K in U 12.484 * [backup-simplify]: Simplify K into K 12.484 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.484 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.484 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.484 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.484 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.485 * [backup-simplify]: Simplify (- 0) into 0 12.485 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.485 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.485 * [taylor]: Taking taylor expansion of J in U 12.485 * [backup-simplify]: Simplify J into J 12.485 * [backup-simplify]: Simplify (* 1 1) into 1 12.485 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.486 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.486 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 12.486 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.486 * [taylor]: Taking taylor expansion of 1 in U 12.486 * [backup-simplify]: Simplify 1 into 1 12.486 * [backup-simplify]: Simplify (+ 0 1) into 1 12.487 * [backup-simplify]: Simplify (sqrt 1) into 1 12.487 * [backup-simplify]: Simplify (+ 0 0) into 0 12.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.488 * [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 12.488 * [taylor]: Taking taylor expansion of -2 in K 12.488 * [backup-simplify]: Simplify -2 into -2 12.488 * [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 12.488 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K 12.488 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 12.488 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 12.488 * [taylor]: Taking taylor expansion of 1/2 in K 12.488 * [backup-simplify]: Simplify 1/2 into 1/2 12.488 * [taylor]: Taking taylor expansion of K in K 12.488 * [backup-simplify]: Simplify 0 into 0 12.488 * [backup-simplify]: Simplify 1 into 1 12.488 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.489 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.489 * [taylor]: Taking taylor expansion of J in K 12.489 * [backup-simplify]: Simplify J into J 12.489 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 12.489 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 12.489 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 12.489 * [taylor]: Taking taylor expansion of 1/4 in K 12.489 * [backup-simplify]: Simplify 1/4 into 1/4 12.489 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 12.489 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.489 * [taylor]: Taking taylor expansion of U in K 12.489 * [backup-simplify]: Simplify U into U 12.489 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 12.489 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 12.489 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 12.489 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 12.489 * [taylor]: Taking taylor expansion of 1/2 in K 12.489 * [backup-simplify]: Simplify 1/2 into 1/2 12.489 * [taylor]: Taking taylor expansion of K in K 12.489 * [backup-simplify]: Simplify 0 into 0 12.489 * [backup-simplify]: Simplify 1 into 1 12.490 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.494 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.495 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.495 * [taylor]: Taking taylor expansion of J in K 12.495 * [backup-simplify]: Simplify J into J 12.495 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.496 * [backup-simplify]: Simplify (* 1 1) into 1 12.496 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.496 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 12.496 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 12.496 * [taylor]: Taking taylor expansion of 1 in K 12.496 * [backup-simplify]: Simplify 1 into 1 12.496 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 12.496 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 12.496 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 12.497 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.497 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.497 * [backup-simplify]: Simplify (+ 0) into 0 12.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 12.498 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 12.499 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 12.499 * [backup-simplify]: Simplify (+ 0 0) into 0 12.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 12.500 * [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 12.500 * [taylor]: Taking taylor expansion of -2 in J 12.500 * [backup-simplify]: Simplify -2 into -2 12.500 * [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 12.500 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 12.500 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 12.500 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 12.500 * [taylor]: Taking taylor expansion of 1/2 in J 12.500 * [backup-simplify]: Simplify 1/2 into 1/2 12.500 * [taylor]: Taking taylor expansion of K in J 12.500 * [backup-simplify]: Simplify K into K 12.500 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.500 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.500 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.500 * [taylor]: Taking taylor expansion of J in J 12.500 * [backup-simplify]: Simplify 0 into 0 12.500 * [backup-simplify]: Simplify 1 into 1 12.500 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 12.500 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 12.500 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 12.500 * [taylor]: Taking taylor expansion of 1/4 in J 12.500 * [backup-simplify]: Simplify 1/4 into 1/4 12.500 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 12.500 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.500 * [taylor]: Taking taylor expansion of U in J 12.500 * [backup-simplify]: Simplify U into U 12.500 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 12.500 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 12.500 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 12.500 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 12.500 * [taylor]: Taking taylor expansion of 1/2 in J 12.500 * [backup-simplify]: Simplify 1/2 into 1/2 12.500 * [taylor]: Taking taylor expansion of K in J 12.500 * [backup-simplify]: Simplify K into K 12.501 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.501 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.501 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.501 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.501 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.501 * [backup-simplify]: Simplify (- 0) into 0 12.501 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.501 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.501 * [taylor]: Taking taylor expansion of J in J 12.501 * [backup-simplify]: Simplify 0 into 0 12.501 * [backup-simplify]: Simplify 1 into 1 12.501 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.502 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.502 * [backup-simplify]: Simplify (* 1 1) into 1 12.502 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 12.502 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 12.502 * [taylor]: Taking taylor expansion of 1 in J 12.502 * [backup-simplify]: Simplify 1 into 1 12.502 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 12.503 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 12.503 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 12.503 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.504 * [backup-simplify]: Simplify (+ 0) into 0 12.504 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 12.505 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 12.506 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.506 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 12.506 * [backup-simplify]: Simplify (- 0) into 0 12.507 * [backup-simplify]: Simplify (+ 0 0) into 0 12.507 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 12.507 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 12.508 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 12.508 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 12.509 * [backup-simplify]: Simplify (+ 0 0) into 0 12.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 12.509 * [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 12.509 * [taylor]: Taking taylor expansion of -2 in J 12.509 * [backup-simplify]: Simplify -2 into -2 12.509 * [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 12.509 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J 12.509 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 12.509 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 12.509 * [taylor]: Taking taylor expansion of 1/2 in J 12.509 * [backup-simplify]: Simplify 1/2 into 1/2 12.509 * [taylor]: Taking taylor expansion of K in J 12.509 * [backup-simplify]: Simplify K into K 12.509 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.509 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.509 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.509 * [taylor]: Taking taylor expansion of J in J 12.509 * [backup-simplify]: Simplify 0 into 0 12.509 * [backup-simplify]: Simplify 1 into 1 12.509 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 12.509 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 12.509 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 12.509 * [taylor]: Taking taylor expansion of 1/4 in J 12.509 * [backup-simplify]: Simplify 1/4 into 1/4 12.509 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 12.509 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.509 * [taylor]: Taking taylor expansion of U in J 12.509 * [backup-simplify]: Simplify U into U 12.510 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 12.510 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 12.510 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 12.510 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 12.510 * [taylor]: Taking taylor expansion of 1/2 in J 12.510 * [backup-simplify]: Simplify 1/2 into 1/2 12.510 * [taylor]: Taking taylor expansion of K in J 12.510 * [backup-simplify]: Simplify K into K 12.510 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.510 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.510 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.510 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.510 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.510 * [backup-simplify]: Simplify (- 0) into 0 12.511 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.511 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.511 * [taylor]: Taking taylor expansion of J in J 12.511 * [backup-simplify]: Simplify 0 into 0 12.511 * [backup-simplify]: Simplify 1 into 1 12.511 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.511 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.511 * [backup-simplify]: Simplify (* 1 1) into 1 12.511 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 12.511 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 12.511 * [taylor]: Taking taylor expansion of 1 in J 12.511 * [backup-simplify]: Simplify 1 into 1 12.512 * [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))) 12.512 * [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))) 12.512 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 12.512 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.513 * [backup-simplify]: Simplify (+ 0) into 0 12.514 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 12.514 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 12.515 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.515 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 12.515 * [backup-simplify]: Simplify (- 0) into 0 12.516 * [backup-simplify]: Simplify (+ 0 0) into 0 12.516 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 12.516 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 12.516 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 12.517 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 12.517 * [backup-simplify]: Simplify (+ 0 0) into 0 12.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 12.517 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.517 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.518 * [backup-simplify]: Simplify (- 0) into 0 12.518 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.518 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0 12.518 * [backup-simplify]: Simplify (* 0 (* 1/2 (/ U (cos (* 1/2 K))))) into 0 12.518 * [backup-simplify]: Simplify (* -2 0) into 0 12.518 * [taylor]: Taking taylor expansion of 0 in K 12.518 * [backup-simplify]: Simplify 0 into 0 12.518 * [taylor]: Taking taylor expansion of 0 in U 12.518 * [backup-simplify]: Simplify 0 into 0 12.518 * [backup-simplify]: Simplify 0 into 0 12.518 * [backup-simplify]: Simplify (+ 0) into 0 12.519 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 12.519 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 12.520 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.520 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 12.520 * [backup-simplify]: Simplify (- 0) into 0 12.521 * [backup-simplify]: Simplify (+ 0 0) into 0 12.521 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) 12.521 * [backup-simplify]: Simplify (+ (* 0 0) (* (cos (* 1/2 K)) (* 1/2 (/ U (cos (* 1/2 K)))))) into (* 1/2 U) 12.522 * [backup-simplify]: Simplify (+ (* -2 (* 1/2 U)) (* 0 0)) into (- U) 12.522 * [taylor]: Taking taylor expansion of (- U) in K 12.522 * [taylor]: Taking taylor expansion of U in K 12.522 * [backup-simplify]: Simplify U into U 12.522 * [backup-simplify]: Simplify (- U) into (- U) 12.522 * [taylor]: Taking taylor expansion of (- U) in U 12.522 * [taylor]: Taking taylor expansion of U in U 12.522 * [backup-simplify]: Simplify 0 into 0 12.522 * [backup-simplify]: Simplify 1 into 1 12.522 * [backup-simplify]: Simplify (- 0) into 0 12.522 * [backup-simplify]: Simplify 0 into 0 12.522 * [taylor]: Taking taylor expansion of 0 in U 12.522 * [backup-simplify]: Simplify 0 into 0 12.522 * [backup-simplify]: Simplify 0 into 0 12.522 * [backup-simplify]: Simplify 0 into 0 12.522 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (* 0 U))) into 0 12.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.523 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.524 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.524 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 12.525 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.525 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.526 * [backup-simplify]: Simplify (- 0) into 0 12.526 * [backup-simplify]: Simplify (+ 0 0) into 0 12.526 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 12.527 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 12.527 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 12.527 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into 0 12.528 * [backup-simplify]: Simplify (+ 0 1) into 1 12.528 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into (/ (cos (* 1/2 K)) U) 12.529 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.529 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.530 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 12.530 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.531 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.531 * [backup-simplify]: Simplify (- 0) into 0 12.531 * [backup-simplify]: Simplify (+ 0 0) into 0 12.531 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 12.532 * [backup-simplify]: Simplify (+ (* 0 (/ (cos (* 1/2 K)) U)) (+ (* (cos (* 1/2 K)) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) into 0 12.532 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/2 U)) (* 0 0))) into 0 12.532 * [taylor]: Taking taylor expansion of 0 in K 12.532 * [backup-simplify]: Simplify 0 into 0 12.532 * [taylor]: Taking taylor expansion of 0 in U 12.532 * [backup-simplify]: Simplify 0 into 0 12.532 * [backup-simplify]: Simplify 0 into 0 12.533 * [backup-simplify]: Simplify (- 0) into 0 12.533 * [taylor]: Taking taylor expansion of 0 in U 12.533 * [backup-simplify]: Simplify 0 into 0 12.533 * [backup-simplify]: Simplify 0 into 0 12.533 * [backup-simplify]: Simplify 0 into 0 12.533 * [backup-simplify]: Simplify (* (* (cbrt (/ 1 J)) (cbrt (/ 1 J))) (* (cbrt (/ 1 J)) (* (* -2 (cos (/ (/ 1 K) 2))) (sqrt (+ (* (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J)))) (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J))))) 1))))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) 12.533 * [approximate]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in (J K U) around 0 12.533 * [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 12.533 * [taylor]: Taking taylor expansion of -2 in U 12.533 * [backup-simplify]: Simplify -2 into -2 12.533 * [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 12.533 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 12.533 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 12.533 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 12.533 * [taylor]: Taking taylor expansion of 1/4 in U 12.533 * [backup-simplify]: Simplify 1/4 into 1/4 12.533 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 12.533 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.533 * [taylor]: Taking taylor expansion of J in U 12.533 * [backup-simplify]: Simplify J into J 12.533 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 12.533 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.533 * [taylor]: Taking taylor expansion of U in U 12.533 * [backup-simplify]: Simplify 0 into 0 12.533 * [backup-simplify]: Simplify 1 into 1 12.534 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 12.534 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 12.534 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 12.534 * [taylor]: Taking taylor expansion of 1/2 in U 12.534 * [backup-simplify]: Simplify 1/2 into 1/2 12.534 * [taylor]: Taking taylor expansion of K in U 12.534 * [backup-simplify]: Simplify K into K 12.534 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.534 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.534 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.534 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.534 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.534 * [backup-simplify]: Simplify (- 0) into 0 12.534 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.534 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.534 * [backup-simplify]: Simplify (* 1 1) into 1 12.535 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.535 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 12.535 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 12.535 * [taylor]: Taking taylor expansion of 1 in U 12.535 * [backup-simplify]: Simplify 1 into 1 12.535 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 12.535 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 12.535 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 12.535 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.535 * [backup-simplify]: Simplify (+ 0) into 0 12.536 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.536 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.536 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.537 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.537 * [backup-simplify]: Simplify (- 0) into 0 12.537 * [backup-simplify]: Simplify (+ 0 0) into 0 12.537 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.538 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.539 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 12.539 * [backup-simplify]: Simplify (+ 0 0) into 0 12.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 12.539 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U 12.539 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 12.539 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 12.539 * [taylor]: Taking taylor expansion of 1/2 in U 12.539 * [backup-simplify]: Simplify 1/2 into 1/2 12.539 * [taylor]: Taking taylor expansion of K in U 12.539 * [backup-simplify]: Simplify K into K 12.539 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.539 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.539 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.539 * [taylor]: Taking taylor expansion of J in U 12.539 * [backup-simplify]: Simplify J into J 12.539 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.539 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.540 * [backup-simplify]: Simplify (- 0) into 0 12.540 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.540 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 12.540 * [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 12.540 * [taylor]: Taking taylor expansion of -2 in K 12.540 * [backup-simplify]: Simplify -2 into -2 12.540 * [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 12.540 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 12.540 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 12.540 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 12.540 * [taylor]: Taking taylor expansion of 1/4 in K 12.540 * [backup-simplify]: Simplify 1/4 into 1/4 12.540 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 12.540 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.540 * [taylor]: Taking taylor expansion of J in K 12.540 * [backup-simplify]: Simplify J into J 12.540 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 12.540 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.540 * [taylor]: Taking taylor expansion of U in K 12.540 * [backup-simplify]: Simplify U into U 12.540 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 12.540 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.540 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.540 * [taylor]: Taking taylor expansion of 1/2 in K 12.540 * [backup-simplify]: Simplify 1/2 into 1/2 12.540 * [taylor]: Taking taylor expansion of K in K 12.540 * [backup-simplify]: Simplify 0 into 0 12.540 * [backup-simplify]: Simplify 1 into 1 12.540 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.541 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.541 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.541 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.541 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.541 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 12.541 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 12.541 * [taylor]: Taking taylor expansion of 1 in K 12.541 * [backup-simplify]: Simplify 1 into 1 12.541 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 12.541 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 12.542 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 12.542 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.542 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.542 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.542 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.542 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 12.543 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 12.543 * [backup-simplify]: Simplify (+ 0 0) into 0 12.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 12.543 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K 12.543 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.543 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.543 * [taylor]: Taking taylor expansion of 1/2 in K 12.543 * [backup-simplify]: Simplify 1/2 into 1/2 12.543 * [taylor]: Taking taylor expansion of K in K 12.543 * [backup-simplify]: Simplify 0 into 0 12.543 * [backup-simplify]: Simplify 1 into 1 12.544 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.544 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.544 * [taylor]: Taking taylor expansion of J in K 12.544 * [backup-simplify]: Simplify J into J 12.544 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J) 12.544 * [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 12.544 * [taylor]: Taking taylor expansion of -2 in J 12.544 * [backup-simplify]: Simplify -2 into -2 12.544 * [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 12.544 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 12.544 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 12.544 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 12.544 * [taylor]: Taking taylor expansion of 1/4 in J 12.544 * [backup-simplify]: Simplify 1/4 into 1/4 12.544 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 12.544 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.544 * [taylor]: Taking taylor expansion of J in J 12.544 * [backup-simplify]: Simplify 0 into 0 12.544 * [backup-simplify]: Simplify 1 into 1 12.544 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 12.544 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.544 * [taylor]: Taking taylor expansion of U in J 12.544 * [backup-simplify]: Simplify U into U 12.544 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 12.544 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.544 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.544 * [taylor]: Taking taylor expansion of 1/2 in J 12.544 * [backup-simplify]: Simplify 1/2 into 1/2 12.544 * [taylor]: Taking taylor expansion of K in J 12.544 * [backup-simplify]: Simplify K into K 12.544 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.544 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.545 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.545 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.545 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.545 * [backup-simplify]: Simplify (- 0) into 0 12.545 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.546 * [backup-simplify]: Simplify (* 1 1) into 1 12.546 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.546 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.546 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 12.546 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 12.546 * [taylor]: Taking taylor expansion of 1 in J 12.546 * [backup-simplify]: Simplify 1 into 1 12.546 * [backup-simplify]: Simplify (+ 0 1) into 1 12.547 * [backup-simplify]: Simplify (sqrt 1) into 1 12.547 * [backup-simplify]: Simplify (+ 0 0) into 0 12.548 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.548 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 12.548 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.548 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.548 * [taylor]: Taking taylor expansion of 1/2 in J 12.548 * [backup-simplify]: Simplify 1/2 into 1/2 12.548 * [taylor]: Taking taylor expansion of K in J 12.548 * [backup-simplify]: Simplify K into K 12.548 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.548 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.548 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.548 * [taylor]: Taking taylor expansion of J in J 12.548 * [backup-simplify]: Simplify 0 into 0 12.548 * [backup-simplify]: Simplify 1 into 1 12.548 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.548 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.549 * [backup-simplify]: Simplify (- 0) into 0 12.549 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.549 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.549 * [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 12.549 * [taylor]: Taking taylor expansion of -2 in J 12.549 * [backup-simplify]: Simplify -2 into -2 12.549 * [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 12.549 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 12.549 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 12.549 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 12.549 * [taylor]: Taking taylor expansion of 1/4 in J 12.549 * [backup-simplify]: Simplify 1/4 into 1/4 12.549 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 12.549 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.549 * [taylor]: Taking taylor expansion of J in J 12.549 * [backup-simplify]: Simplify 0 into 0 12.549 * [backup-simplify]: Simplify 1 into 1 12.549 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 12.549 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.549 * [taylor]: Taking taylor expansion of U in J 12.549 * [backup-simplify]: Simplify U into U 12.549 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 12.549 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.549 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.550 * [taylor]: Taking taylor expansion of 1/2 in J 12.550 * [backup-simplify]: Simplify 1/2 into 1/2 12.550 * [taylor]: Taking taylor expansion of K in J 12.550 * [backup-simplify]: Simplify K into K 12.550 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.550 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.550 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.550 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.550 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.550 * [backup-simplify]: Simplify (- 0) into 0 12.550 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.551 * [backup-simplify]: Simplify (* 1 1) into 1 12.551 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.551 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.551 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 12.551 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 12.551 * [taylor]: Taking taylor expansion of 1 in J 12.551 * [backup-simplify]: Simplify 1 into 1 12.552 * [backup-simplify]: Simplify (+ 0 1) into 1 12.552 * [backup-simplify]: Simplify (sqrt 1) into 1 12.552 * [backup-simplify]: Simplify (+ 0 0) into 0 12.553 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.553 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J 12.553 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.553 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.553 * [taylor]: Taking taylor expansion of 1/2 in J 12.553 * [backup-simplify]: Simplify 1/2 into 1/2 12.553 * [taylor]: Taking taylor expansion of K in J 12.553 * [backup-simplify]: Simplify K into K 12.553 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.553 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.553 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.554 * [taylor]: Taking taylor expansion of J in J 12.554 * [backup-simplify]: Simplify 0 into 0 12.554 * [backup-simplify]: Simplify 1 into 1 12.554 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.554 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.554 * [backup-simplify]: Simplify (- 0) into 0 12.554 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.554 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.554 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 12.554 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 12.554 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K 12.555 * [taylor]: Taking taylor expansion of -2 in K 12.555 * [backup-simplify]: Simplify -2 into -2 12.555 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.555 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.555 * [taylor]: Taking taylor expansion of 1/2 in K 12.555 * [backup-simplify]: Simplify 1/2 into 1/2 12.555 * [taylor]: Taking taylor expansion of K in K 12.555 * [backup-simplify]: Simplify 0 into 0 12.555 * [backup-simplify]: Simplify 1 into 1 12.555 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.555 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.555 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 12.555 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in U 12.555 * [taylor]: Taking taylor expansion of -2 in U 12.555 * [backup-simplify]: Simplify -2 into -2 12.555 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 12.555 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 12.555 * [taylor]: Taking taylor expansion of 1/2 in U 12.555 * [backup-simplify]: Simplify 1/2 into 1/2 12.555 * [taylor]: Taking taylor expansion of K in U 12.556 * [backup-simplify]: Simplify K into K 12.556 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.556 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.556 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.556 * [backup-simplify]: Simplify (+ 0) into 0 12.557 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.557 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.557 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.558 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.558 * [backup-simplify]: Simplify (- 0) into 0 12.558 * [backup-simplify]: Simplify (+ 0 0) into 0 12.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0 12.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 12.560 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 12.560 * [taylor]: Taking taylor expansion of 0 in K 12.560 * [backup-simplify]: Simplify 0 into 0 12.560 * [taylor]: Taking taylor expansion of 0 in U 12.560 * [backup-simplify]: Simplify 0 into 0 12.561 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 12.561 * [taylor]: Taking taylor expansion of 0 in U 12.561 * [backup-simplify]: Simplify 0 into 0 12.561 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.561 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.561 * [backup-simplify]: Simplify (- 0) into 0 12.562 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.562 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 12.562 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) 12.563 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.563 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.563 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.564 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.565 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.565 * [backup-simplify]: Simplify (- 0) into 0 12.565 * [backup-simplify]: Simplify (+ 0 0) into 0 12.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.567 * [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))) 12.567 * [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)))) 12.568 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 12.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (cos (/ 1/2 K))))) into (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) 12.570 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) 12.570 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in K 12.570 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in K 12.570 * [taylor]: Taking taylor expansion of 1/4 in K 12.570 * [backup-simplify]: Simplify 1/4 into 1/4 12.570 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in K 12.570 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in K 12.570 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.570 * [taylor]: Taking taylor expansion of U in K 12.570 * [backup-simplify]: Simplify U into U 12.570 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.570 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.570 * [taylor]: Taking taylor expansion of 1/2 in K 12.570 * [backup-simplify]: Simplify 1/2 into 1/2 12.570 * [taylor]: Taking taylor expansion of K in K 12.570 * [backup-simplify]: Simplify 0 into 0 12.571 * [backup-simplify]: Simplify 1 into 1 12.571 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.571 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.571 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.571 * [backup-simplify]: Simplify (* (pow U 2) (cos (/ 1/2 K))) into (* (pow U 2) (cos (/ 1/2 K))) 12.572 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) into (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) 12.572 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) into (/ 1/4 (* (pow U 2) (cos (/ 1/2 K)))) 12.572 * [backup-simplify]: Simplify (- (/ 1/4 (* (pow U 2) (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) 12.572 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in U 12.572 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in U 12.572 * [taylor]: Taking taylor expansion of 1/4 in U 12.572 * [backup-simplify]: Simplify 1/4 into 1/4 12.572 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in U 12.572 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in U 12.572 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.572 * [taylor]: Taking taylor expansion of U in U 12.572 * [backup-simplify]: Simplify 0 into 0 12.572 * [backup-simplify]: Simplify 1 into 1 12.572 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 12.572 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 12.572 * [taylor]: Taking taylor expansion of 1/2 in U 12.572 * [backup-simplify]: Simplify 1/2 into 1/2 12.572 * [taylor]: Taking taylor expansion of K in U 12.572 * [backup-simplify]: Simplify K into K 12.572 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.572 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.572 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.573 * [backup-simplify]: Simplify (* 1 1) into 1 12.573 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.573 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.573 * [backup-simplify]: Simplify (- 0) into 0 12.574 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.574 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 12.574 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 12.574 * [backup-simplify]: Simplify (+ 0) into 0 12.575 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.575 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.575 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.576 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.576 * [backup-simplify]: Simplify (- 0) into 0 12.576 * [backup-simplify]: Simplify (+ 0 0) into 0 12.577 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 12.578 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 12.578 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 12.579 * [backup-simplify]: Simplify (- 0) into 0 12.579 * [backup-simplify]: Simplify 0 into 0 12.579 * [taylor]: Taking taylor expansion of 0 in U 12.579 * [backup-simplify]: Simplify 0 into 0 12.579 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 12.579 * [taylor]: Taking taylor expansion of 0 in U 12.580 * [backup-simplify]: Simplify 0 into 0 12.580 * [backup-simplify]: Simplify 0 into 0 12.580 * [backup-simplify]: Simplify 0 into 0 12.580 * [backup-simplify]: Simplify (+ 0) into 0 12.580 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.581 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.581 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.582 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.582 * [backup-simplify]: Simplify (- 0) into 0 12.582 * [backup-simplify]: Simplify (+ 0 0) into 0 12.583 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 12.583 * [backup-simplify]: Simplify 0 into 0 12.584 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 12.585 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.585 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.586 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 12.587 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 12.587 * [backup-simplify]: Simplify (- 0) into 0 12.588 * [backup-simplify]: Simplify (+ 0 0) into 0 12.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.591 * [backup-simplify]: Simplify (+ 0) into 0 12.591 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.591 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.592 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.592 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.593 * [backup-simplify]: Simplify (- 0) into 0 12.593 * [backup-simplify]: Simplify (+ 0 0) into 0 12.593 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.593 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.593 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.594 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 12.594 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 12.595 * [backup-simplify]: Simplify (+ 0 0) into 0 12.595 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 1)) into 0 12.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) (* 0 (cos (/ 1/2 K)))))) into 0 12.597 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 12.597 * [taylor]: Taking taylor expansion of 0 in K 12.597 * [backup-simplify]: Simplify 0 into 0 12.597 * [taylor]: Taking taylor expansion of 0 in U 12.597 * [backup-simplify]: Simplify 0 into 0 12.598 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.598 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.598 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) (/ 0 (* (pow U 2) (cos (/ 1/2 K))))))) into 0 12.599 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) into 0 12.599 * [backup-simplify]: Simplify (- 0) into 0 12.599 * [taylor]: Taking taylor expansion of 0 in U 12.599 * [backup-simplify]: Simplify 0 into 0 12.599 * [taylor]: Taking taylor expansion of 0 in U 12.599 * [backup-simplify]: Simplify 0 into 0 12.600 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 12.600 * [taylor]: Taking taylor expansion of 0 in U 12.600 * [backup-simplify]: Simplify 0 into 0 12.601 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.602 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.602 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.603 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.603 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.604 * [backup-simplify]: Simplify (- 0) into 0 12.604 * [backup-simplify]: Simplify (+ 0 0) into 0 12.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 12.606 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 12.607 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 12.607 * [backup-simplify]: Simplify (- 0) into 0 12.607 * [backup-simplify]: Simplify 0 into 0 12.607 * [backup-simplify]: Simplify 0 into 0 12.607 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (cos (* 1/2 K)) J)) 12.609 * [backup-simplify]: Simplify (* (* (cbrt (/ 1 (- J))) (cbrt (/ 1 (- J)))) (* (cbrt (/ 1 (- J))) (* (* -2 (cos (/ (/ 1 (- K)) 2))) (sqrt (+ (* (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J))))) (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))))) 1))))) into (* -2 (* (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 12.609 * [approximate]: Taking taylor expansion of (* -2 (* (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in (J K U) around 0 12.609 * [taylor]: Taking taylor expansion of (* -2 (* (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 12.609 * [taylor]: Taking taylor expansion of -2 in U 12.609 * [backup-simplify]: Simplify -2 into -2 12.609 * [taylor]: Taking taylor expansion of (* (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 12.609 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) in U 12.609 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) in U 12.609 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 12.609 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 12.609 * [taylor]: Taking taylor expansion of -1/2 in U 12.609 * [backup-simplify]: Simplify -1/2 into -1/2 12.609 * [taylor]: Taking taylor expansion of K in U 12.609 * [backup-simplify]: Simplify K into K 12.609 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.609 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.609 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.609 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in U 12.609 * [taylor]: Taking taylor expansion of (cbrt -1) in U 12.609 * [taylor]: Taking taylor expansion of -1 in U 12.609 * [backup-simplify]: Simplify -1 into -1 12.610 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.611 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.611 * [taylor]: Taking taylor expansion of J in U 12.611 * [backup-simplify]: Simplify J into J 12.611 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.611 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.612 * [backup-simplify]: Simplify (- 0) into 0 12.612 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.613 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 12.614 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 12.615 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) into (* -1 (cos (/ -1/2 K))) 12.615 * [backup-simplify]: Simplify (/ (* -1 (cos (/ -1/2 K))) J) into (* -1 (/ (cos (/ -1/2 K)) J)) 12.615 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 12.615 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 12.615 * [taylor]: Taking taylor expansion of 1 in U 12.615 * [backup-simplify]: Simplify 1 into 1 12.615 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 12.615 * [taylor]: Taking taylor expansion of 1/4 in U 12.615 * [backup-simplify]: Simplify 1/4 into 1/4 12.615 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 12.615 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.615 * [taylor]: Taking taylor expansion of J in U 12.615 * [backup-simplify]: Simplify J into J 12.615 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 12.615 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 12.615 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 12.615 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 12.615 * [taylor]: Taking taylor expansion of -1/2 in U 12.615 * [backup-simplify]: Simplify -1/2 into -1/2 12.615 * [taylor]: Taking taylor expansion of K in U 12.615 * [backup-simplify]: Simplify K into K 12.615 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.615 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.615 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.615 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.615 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.619 * [backup-simplify]: Simplify (- 0) into 0 12.619 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.619 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.619 * [taylor]: Taking taylor expansion of U in U 12.619 * [backup-simplify]: Simplify 0 into 0 12.619 * [backup-simplify]: Simplify 1 into 1 12.620 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.620 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.620 * [backup-simplify]: Simplify (* 1 1) into 1 12.620 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 12.620 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 12.621 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 12.621 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 12.621 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 12.621 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.622 * [backup-simplify]: Simplify (+ 0) into 0 12.622 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.622 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.623 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.623 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.624 * [backup-simplify]: Simplify (- 0) into 0 12.624 * [backup-simplify]: Simplify (+ 0 0) into 0 12.624 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.624 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 12.625 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.625 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 12.625 * [backup-simplify]: Simplify (+ 0 0) into 0 12.625 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 12.625 * [taylor]: Taking taylor expansion of (* -2 (* (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 12.625 * [taylor]: Taking taylor expansion of -2 in K 12.625 * [backup-simplify]: Simplify -2 into -2 12.625 * [taylor]: Taking taylor expansion of (* (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 12.625 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) in K 12.625 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) in K 12.626 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 12.626 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 12.626 * [taylor]: Taking taylor expansion of -1/2 in K 12.626 * [backup-simplify]: Simplify -1/2 into -1/2 12.626 * [taylor]: Taking taylor expansion of K in K 12.626 * [backup-simplify]: Simplify 0 into 0 12.626 * [backup-simplify]: Simplify 1 into 1 12.626 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.626 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.626 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in K 12.626 * [taylor]: Taking taylor expansion of (cbrt -1) in K 12.626 * [taylor]: Taking taylor expansion of -1 in K 12.626 * [backup-simplify]: Simplify -1 into -1 12.626 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.627 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.627 * [taylor]: Taking taylor expansion of J in K 12.627 * [backup-simplify]: Simplify J into J 12.628 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 12.629 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 12.630 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) into (* -1 (cos (/ -1/2 K))) 12.630 * [backup-simplify]: Simplify (/ (* -1 (cos (/ -1/2 K))) J) into (* -1 (/ (cos (/ -1/2 K)) J)) 12.630 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 12.630 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 12.630 * [taylor]: Taking taylor expansion of 1 in K 12.630 * [backup-simplify]: Simplify 1 into 1 12.630 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 12.630 * [taylor]: Taking taylor expansion of 1/4 in K 12.630 * [backup-simplify]: Simplify 1/4 into 1/4 12.630 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 12.630 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.630 * [taylor]: Taking taylor expansion of J in K 12.630 * [backup-simplify]: Simplify J into J 12.630 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 12.630 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 12.630 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 12.630 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 12.630 * [taylor]: Taking taylor expansion of -1/2 in K 12.630 * [backup-simplify]: Simplify -1/2 into -1/2 12.630 * [taylor]: Taking taylor expansion of K in K 12.630 * [backup-simplify]: Simplify 0 into 0 12.630 * [backup-simplify]: Simplify 1 into 1 12.630 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.630 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.631 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.631 * [taylor]: Taking taylor expansion of U in K 12.631 * [backup-simplify]: Simplify U into U 12.631 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.631 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.631 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.631 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 12.631 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 12.631 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 12.631 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 12.632 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 12.632 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.632 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.632 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.632 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 12.632 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 12.633 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 12.633 * [backup-simplify]: Simplify (+ 0 0) into 0 12.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 12.633 * [taylor]: Taking taylor expansion of (* -2 (* (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 12.633 * [taylor]: Taking taylor expansion of -2 in J 12.633 * [backup-simplify]: Simplify -2 into -2 12.633 * [taylor]: Taking taylor expansion of (* (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 12.633 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) in J 12.633 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) in J 12.633 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.633 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.633 * [taylor]: Taking taylor expansion of -1/2 in J 12.633 * [backup-simplify]: Simplify -1/2 into -1/2 12.633 * [taylor]: Taking taylor expansion of K in J 12.633 * [backup-simplify]: Simplify K into K 12.634 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.634 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.634 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.634 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in J 12.634 * [taylor]: Taking taylor expansion of (cbrt -1) in J 12.634 * [taylor]: Taking taylor expansion of -1 in J 12.634 * [backup-simplify]: Simplify -1 into -1 12.634 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.635 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.635 * [taylor]: Taking taylor expansion of J in J 12.635 * [backup-simplify]: Simplify 0 into 0 12.635 * [backup-simplify]: Simplify 1 into 1 12.635 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.635 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.635 * [backup-simplify]: Simplify (- 0) into 0 12.635 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.636 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 12.637 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 12.638 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) into (* -1 (cos (/ -1/2 K))) 12.638 * [backup-simplify]: Simplify (/ (* -1 (cos (/ -1/2 K))) 1) into (* -1 (cos (/ -1/2 K))) 12.638 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 12.638 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 12.638 * [taylor]: Taking taylor expansion of 1 in J 12.638 * [backup-simplify]: Simplify 1 into 1 12.638 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 12.638 * [taylor]: Taking taylor expansion of 1/4 in J 12.638 * [backup-simplify]: Simplify 1/4 into 1/4 12.638 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 12.638 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.638 * [taylor]: Taking taylor expansion of J in J 12.638 * [backup-simplify]: Simplify 0 into 0 12.638 * [backup-simplify]: Simplify 1 into 1 12.638 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 12.638 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 12.638 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.638 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.638 * [taylor]: Taking taylor expansion of -1/2 in J 12.638 * [backup-simplify]: Simplify -1/2 into -1/2 12.638 * [taylor]: Taking taylor expansion of K in J 12.638 * [backup-simplify]: Simplify K into K 12.638 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.638 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.639 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.639 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.639 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.639 * [backup-simplify]: Simplify (- 0) into 0 12.639 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.639 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.639 * [taylor]: Taking taylor expansion of U in J 12.639 * [backup-simplify]: Simplify U into U 12.639 * [backup-simplify]: Simplify (* 1 1) into 1 12.639 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.639 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.640 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 12.640 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 12.640 * [backup-simplify]: Simplify (+ 1 0) into 1 12.640 * [backup-simplify]: Simplify (sqrt 1) into 1 12.641 * [backup-simplify]: Simplify (+ 0 0) into 0 12.641 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.641 * [taylor]: Taking taylor expansion of (* -2 (* (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 12.642 * [taylor]: Taking taylor expansion of -2 in J 12.642 * [backup-simplify]: Simplify -2 into -2 12.642 * [taylor]: Taking taylor expansion of (* (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 12.642 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) J) in J 12.642 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) in J 12.642 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.642 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.642 * [taylor]: Taking taylor expansion of -1/2 in J 12.642 * [backup-simplify]: Simplify -1/2 into -1/2 12.642 * [taylor]: Taking taylor expansion of K in J 12.642 * [backup-simplify]: Simplify K into K 12.642 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.642 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.642 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.642 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in J 12.642 * [taylor]: Taking taylor expansion of (cbrt -1) in J 12.642 * [taylor]: Taking taylor expansion of -1 in J 12.642 * [backup-simplify]: Simplify -1 into -1 12.643 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.643 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.643 * [taylor]: Taking taylor expansion of J in J 12.643 * [backup-simplify]: Simplify 0 into 0 12.643 * [backup-simplify]: Simplify 1 into 1 12.643 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.644 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.644 * [backup-simplify]: Simplify (- 0) into 0 12.644 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.645 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2) 12.647 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3) 12.648 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow (cbrt -1) 3)) into (* -1 (cos (/ -1/2 K))) 12.648 * [backup-simplify]: Simplify (/ (* -1 (cos (/ -1/2 K))) 1) into (* -1 (cos (/ -1/2 K))) 12.648 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 12.648 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 12.648 * [taylor]: Taking taylor expansion of 1 in J 12.648 * [backup-simplify]: Simplify 1 into 1 12.648 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 12.648 * [taylor]: Taking taylor expansion of 1/4 in J 12.648 * [backup-simplify]: Simplify 1/4 into 1/4 12.648 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 12.648 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.648 * [taylor]: Taking taylor expansion of J in J 12.648 * [backup-simplify]: Simplify 0 into 0 12.649 * [backup-simplify]: Simplify 1 into 1 12.649 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 12.649 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 12.649 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.649 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.649 * [taylor]: Taking taylor expansion of -1/2 in J 12.649 * [backup-simplify]: Simplify -1/2 into -1/2 12.649 * [taylor]: Taking taylor expansion of K in J 12.649 * [backup-simplify]: Simplify K into K 12.649 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.649 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.649 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.649 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.649 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.649 * [backup-simplify]: Simplify (- 0) into 0 12.650 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.650 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.650 * [taylor]: Taking taylor expansion of U in J 12.650 * [backup-simplify]: Simplify U into U 12.650 * [backup-simplify]: Simplify (* 1 1) into 1 12.650 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.650 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.650 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 12.650 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 12.651 * [backup-simplify]: Simplify (+ 1 0) into 1 12.651 * [backup-simplify]: Simplify (sqrt 1) into 1 12.652 * [backup-simplify]: Simplify (+ 0 0) into 0 12.652 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.652 * [backup-simplify]: Simplify (* (* -1 (cos (/ -1/2 K))) 1) into (* -1 (cos (/ -1/2 K))) 12.653 * [backup-simplify]: Simplify (* -2 (* -1 (cos (/ -1/2 K)))) into (* 2 (cos (/ -1/2 K))) 12.653 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K 12.653 * [taylor]: Taking taylor expansion of 2 in K 12.653 * [backup-simplify]: Simplify 2 into 2 12.653 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 12.653 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 12.653 * [taylor]: Taking taylor expansion of -1/2 in K 12.653 * [backup-simplify]: Simplify -1/2 into -1/2 12.653 * [taylor]: Taking taylor expansion of K in K 12.653 * [backup-simplify]: Simplify 0 into 0 12.653 * [backup-simplify]: Simplify 1 into 1 12.653 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.653 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.653 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 12.653 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in U 12.653 * [taylor]: Taking taylor expansion of 2 in U 12.653 * [backup-simplify]: Simplify 2 into 2 12.653 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 12.653 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 12.653 * [taylor]: Taking taylor expansion of -1/2 in U 12.654 * [backup-simplify]: Simplify -1/2 into -1/2 12.654 * [taylor]: Taking taylor expansion of K in U 12.654 * [backup-simplify]: Simplify K into K 12.654 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.654 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.654 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.655 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0 12.655 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow (cbrt -1) 2))) into 0 12.656 * [backup-simplify]: Simplify (+ 0) into 0 12.656 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.656 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.657 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.658 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.658 * [backup-simplify]: Simplify (- 0) into 0 12.658 * [backup-simplify]: Simplify (+ 0 0) into 0 12.659 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow (cbrt -1) 3))) into 0 12.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (cos (/ -1/2 K))) (/ 0 1)))) into 0 12.660 * [backup-simplify]: Simplify (+ (* (* -1 (cos (/ -1/2 K))) 0) (* 0 1)) into 0 12.661 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* -1 (cos (/ -1/2 K))))) into 0 12.661 * [taylor]: Taking taylor expansion of 0 in K 12.661 * [backup-simplify]: Simplify 0 into 0 12.661 * [taylor]: Taking taylor expansion of 0 in U 12.661 * [backup-simplify]: Simplify 0 into 0 12.661 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 12.662 * [taylor]: Taking taylor expansion of 0 in U 12.662 * [backup-simplify]: Simplify 0 into 0 12.662 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.662 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.662 * [backup-simplify]: Simplify (- 0) into 0 12.662 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.662 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 12.662 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) 12.663 * [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))) 12.663 * [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)))) 12.664 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 12.666 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.667 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 12.668 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0 12.668 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.669 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.669 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.670 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.670 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.670 * [backup-simplify]: Simplify (- 0) into 0 12.670 * [backup-simplify]: Simplify (+ 0 0) into 0 12.671 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 3)))) into 0 12.672 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (cos (/ -1/2 K))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.673 * [backup-simplify]: Simplify (+ (* (* -1 (cos (/ -1/2 K))) (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) 12.673 * [backup-simplify]: Simplify (+ (* -2 (- (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))))) (+ (* 0 0) (* 0 (* -1 (cos (/ -1/2 K)))))) into (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) 12.673 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) in K 12.673 * [taylor]: Taking taylor expansion of 1/4 in K 12.673 * [backup-simplify]: Simplify 1/4 into 1/4 12.673 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) in K 12.673 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in K 12.673 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 12.673 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 12.673 * [taylor]: Taking taylor expansion of -1/2 in K 12.673 * [backup-simplify]: Simplify -1/2 into -1/2 12.673 * [taylor]: Taking taylor expansion of K in K 12.673 * [backup-simplify]: Simplify 0 into 0 12.673 * [backup-simplify]: Simplify 1 into 1 12.674 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.674 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.674 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.674 * [taylor]: Taking taylor expansion of U in K 12.674 * [backup-simplify]: Simplify U into U 12.674 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.674 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow U 2)) into (* (cos (/ -1/2 K)) (pow U 2)) 12.674 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) into (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) 12.674 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) into (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) 12.674 * [taylor]: Taking taylor expansion of (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) in U 12.674 * [taylor]: Taking taylor expansion of 1/4 in U 12.674 * [backup-simplify]: Simplify 1/4 into 1/4 12.674 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in U 12.674 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 12.674 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 12.674 * [taylor]: Taking taylor expansion of -1/2 in U 12.674 * [backup-simplify]: Simplify -1/2 into -1/2 12.674 * [taylor]: Taking taylor expansion of K in U 12.674 * [backup-simplify]: Simplify K into K 12.674 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.674 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.674 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.674 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.674 * [taylor]: Taking taylor expansion of U in U 12.674 * [backup-simplify]: Simplify 0 into 0 12.674 * [backup-simplify]: Simplify 1 into 1 12.675 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.675 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.675 * [backup-simplify]: Simplify (- 0) into 0 12.675 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.675 * [backup-simplify]: Simplify (* 1 1) into 1 12.675 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.675 * [backup-simplify]: Simplify (/ 1/4 (cos (/ -1/2 K))) into (/ 1/4 (cos (/ -1/2 K))) 12.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.676 * [backup-simplify]: Simplify (+ 0) into 0 12.676 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.676 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.677 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.677 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.677 * [backup-simplify]: Simplify (- 0) into 0 12.678 * [backup-simplify]: Simplify (+ 0 0) into 0 12.678 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.678 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 12.678 * [backup-simplify]: Simplify 0 into 0 12.678 * [taylor]: Taking taylor expansion of 0 in U 12.678 * [backup-simplify]: Simplify 0 into 0 12.679 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 12.679 * [taylor]: Taking taylor expansion of 0 in U 12.679 * [backup-simplify]: Simplify 0 into 0 12.679 * [backup-simplify]: Simplify 0 into 0 12.679 * [backup-simplify]: Simplify 0 into 0 12.679 * [backup-simplify]: Simplify (+ 0) into 0 12.679 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.679 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.680 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.680 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.680 * [backup-simplify]: Simplify (- 0) into 0 12.681 * [backup-simplify]: Simplify (+ 0 0) into 0 12.681 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 12.681 * [backup-simplify]: Simplify 0 into 0 12.681 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.681 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.682 * [backup-simplify]: Simplify (+ 0) into 0 12.682 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.682 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.683 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.683 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.683 * [backup-simplify]: Simplify (- 0) into 0 12.683 * [backup-simplify]: Simplify (+ 0 0) into 0 12.683 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.684 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 12.684 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 12.684 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 12.685 * [backup-simplify]: Simplify (+ 0 0) into 0 12.685 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (* 2 1)) into 0 12.686 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 12.687 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 12.687 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))) into 0 12.688 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 12.689 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.689 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.690 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 12.690 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 12.690 * [backup-simplify]: Simplify (- 0) into 0 12.690 * [backup-simplify]: Simplify (+ 0 0) into 0 12.691 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 3))))) into 0 12.692 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (cos (/ -1/2 K))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.693 * [backup-simplify]: Simplify (+ (* (* -1 (cos (/ -1/2 K))) 0) (+ (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1)))) into 0 12.694 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (- (* 1/8 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))))) (+ (* 0 0) (* 0 (* -1 (cos (/ -1/2 K))))))) into 0 12.694 * [taylor]: Taking taylor expansion of 0 in K 12.694 * [backup-simplify]: Simplify 0 into 0 12.694 * [taylor]: Taking taylor expansion of 0 in U 12.694 * [backup-simplify]: Simplify 0 into 0 12.694 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.694 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow U 2))) into 0 12.694 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) (/ 0 (* (cos (/ -1/2 K)) (pow U 2)))))) into 0 12.694 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) into 0 12.695 * [taylor]: Taking taylor expansion of 0 in U 12.695 * [backup-simplify]: Simplify 0 into 0 12.695 * [taylor]: Taking taylor expansion of 0 in U 12.695 * [backup-simplify]: Simplify 0 into 0 12.695 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 12.695 * [taylor]: Taking taylor expansion of 0 in U 12.695 * [backup-simplify]: Simplify 0 into 0 12.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.696 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.697 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.697 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.697 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.698 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.698 * [backup-simplify]: Simplify (- 0) into 0 12.698 * [backup-simplify]: Simplify (+ 0 0) into 0 12.699 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.699 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 12.699 * [backup-simplify]: Simplify 0 into 0 12.699 * [backup-simplify]: Simplify 0 into 0 12.699 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 (* (cos (* 1/2 K)) J)) 12.699 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 12.700 * [backup-simplify]: Simplify (* (cbrt J) (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) into (* -2 (* (cos (* 1/2 K)) (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) (pow J 1/3)))) 12.700 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) (pow J 1/3)))) in (J K U) around 0 12.700 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) (pow J 1/3)))) in U 12.700 * [taylor]: Taking taylor expansion of -2 in U 12.700 * [backup-simplify]: Simplify -2 into -2 12.700 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) (pow J 1/3))) in U 12.700 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 12.700 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 12.700 * [taylor]: Taking taylor expansion of 1/2 in U 12.700 * [backup-simplify]: Simplify 1/2 into 1/2 12.700 * [taylor]: Taking taylor expansion of K in U 12.700 * [backup-simplify]: Simplify K into K 12.700 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.700 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.700 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.700 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) (pow J 1/3)) in U 12.700 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U 12.700 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U 12.700 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U 12.700 * [taylor]: Taking taylor expansion of 1/4 in U 12.700 * [backup-simplify]: Simplify 1/4 into 1/4 12.700 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U 12.700 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.700 * [taylor]: Taking taylor expansion of U in U 12.700 * [backup-simplify]: Simplify 0 into 0 12.700 * [backup-simplify]: Simplify 1 into 1 12.700 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U 12.700 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U 12.700 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U 12.700 * [taylor]: Taking taylor expansion of (* 1/2 K) in U 12.700 * [taylor]: Taking taylor expansion of 1/2 in U 12.700 * [backup-simplify]: Simplify 1/2 into 1/2 12.700 * [taylor]: Taking taylor expansion of K in U 12.700 * [backup-simplify]: Simplify K into K 12.700 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.701 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.701 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.701 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.701 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.701 * [backup-simplify]: Simplify (- 0) into 0 12.701 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.701 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.701 * [taylor]: Taking taylor expansion of J in U 12.701 * [backup-simplify]: Simplify J into J 12.702 * [backup-simplify]: Simplify (* 1 1) into 1 12.702 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.702 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.702 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2)) 12.702 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 12.702 * [taylor]: Taking taylor expansion of 1 in U 12.702 * [backup-simplify]: Simplify 1 into 1 12.703 * [backup-simplify]: Simplify (+ 0 1) into 1 12.703 * [backup-simplify]: Simplify (sqrt 1) into 1 12.703 * [backup-simplify]: Simplify (+ 0 0) into 0 12.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.704 * [taylor]: Taking taylor expansion of (pow J 1/3) in U 12.704 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log J))) in U 12.704 * [taylor]: Taking taylor expansion of (* 1/3 (log J)) in U 12.704 * [taylor]: Taking taylor expansion of 1/3 in U 12.704 * [backup-simplify]: Simplify 1/3 into 1/3 12.704 * [taylor]: Taking taylor expansion of (log J) in U 12.704 * [taylor]: Taking taylor expansion of J in U 12.704 * [backup-simplify]: Simplify J into J 12.704 * [backup-simplify]: Simplify (log J) into (log J) 12.704 * [backup-simplify]: Simplify (* 1/3 (log J)) into (* 1/3 (log J)) 12.704 * [backup-simplify]: Simplify (exp (* 1/3 (log J))) into (pow J 1/3) 12.704 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) (pow J 1/3)))) in K 12.704 * [taylor]: Taking taylor expansion of -2 in K 12.705 * [backup-simplify]: Simplify -2 into -2 12.705 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) (pow J 1/3))) in K 12.705 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 12.705 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 12.705 * [taylor]: Taking taylor expansion of 1/2 in K 12.705 * [backup-simplify]: Simplify 1/2 into 1/2 12.705 * [taylor]: Taking taylor expansion of K in K 12.705 * [backup-simplify]: Simplify 0 into 0 12.705 * [backup-simplify]: Simplify 1 into 1 12.705 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.706 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.706 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) (pow J 1/3)) in K 12.706 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K 12.706 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K 12.706 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K 12.706 * [taylor]: Taking taylor expansion of 1/4 in K 12.706 * [backup-simplify]: Simplify 1/4 into 1/4 12.706 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K 12.706 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.706 * [taylor]: Taking taylor expansion of U in K 12.706 * [backup-simplify]: Simplify U into U 12.706 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K 12.706 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 12.706 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 12.706 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 12.706 * [taylor]: Taking taylor expansion of 1/2 in K 12.706 * [backup-simplify]: Simplify 1/2 into 1/2 12.706 * [taylor]: Taking taylor expansion of K in K 12.706 * [backup-simplify]: Simplify 0 into 0 12.706 * [backup-simplify]: Simplify 1 into 1 12.707 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.707 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.707 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.707 * [taylor]: Taking taylor expansion of J in K 12.707 * [backup-simplify]: Simplify J into J 12.707 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.708 * [backup-simplify]: Simplify (* 1 1) into 1 12.708 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.708 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2) 12.708 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2)) 12.708 * [taylor]: Taking taylor expansion of 1 in K 12.708 * [backup-simplify]: Simplify 1 into 1 12.708 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2))) 12.708 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 12.709 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) 12.709 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.709 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.709 * [backup-simplify]: Simplify (+ 0) into 0 12.710 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.710 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0 12.711 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0 12.711 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0 12.711 * [backup-simplify]: Simplify (+ 0 0) into 0 12.712 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 12.712 * [taylor]: Taking taylor expansion of (pow J 1/3) in K 12.712 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log J))) in K 12.712 * [taylor]: Taking taylor expansion of (* 1/3 (log J)) in K 12.712 * [taylor]: Taking taylor expansion of 1/3 in K 12.712 * [backup-simplify]: Simplify 1/3 into 1/3 12.712 * [taylor]: Taking taylor expansion of (log J) in K 12.712 * [taylor]: Taking taylor expansion of J in K 12.712 * [backup-simplify]: Simplify J into J 12.712 * [backup-simplify]: Simplify (log J) into (log J) 12.712 * [backup-simplify]: Simplify (* 1/3 (log J)) into (* 1/3 (log J)) 12.712 * [backup-simplify]: Simplify (exp (* 1/3 (log J))) into (pow J 1/3) 12.712 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) (pow J 1/3)))) in J 12.712 * [taylor]: Taking taylor expansion of -2 in J 12.712 * [backup-simplify]: Simplify -2 into -2 12.712 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) (pow J 1/3))) in J 12.712 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 12.712 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 12.712 * [taylor]: Taking taylor expansion of 1/2 in J 12.712 * [backup-simplify]: Simplify 1/2 into 1/2 12.712 * [taylor]: Taking taylor expansion of K in J 12.712 * [backup-simplify]: Simplify K into K 12.712 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.712 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.712 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.713 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) (pow J 1/3)) in J 12.713 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 12.713 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 12.713 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 12.713 * [taylor]: Taking taylor expansion of 1/4 in J 12.713 * [backup-simplify]: Simplify 1/4 into 1/4 12.713 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 12.713 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.713 * [taylor]: Taking taylor expansion of U in J 12.713 * [backup-simplify]: Simplify U into U 12.713 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 12.713 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 12.713 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 12.713 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 12.713 * [taylor]: Taking taylor expansion of 1/2 in J 12.713 * [backup-simplify]: Simplify 1/2 into 1/2 12.713 * [taylor]: Taking taylor expansion of K in J 12.713 * [backup-simplify]: Simplify K into K 12.713 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.713 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.713 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.713 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.713 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.714 * [backup-simplify]: Simplify (- 0) into 0 12.714 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.714 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.714 * [taylor]: Taking taylor expansion of J in J 12.714 * [backup-simplify]: Simplify 0 into 0 12.714 * [backup-simplify]: Simplify 1 into 1 12.714 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.714 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.714 * [backup-simplify]: Simplify (* 1 1) into 1 12.715 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 12.715 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 12.715 * [taylor]: Taking taylor expansion of 1 in J 12.715 * [backup-simplify]: Simplify 1 into 1 12.715 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 12.715 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 12.715 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 12.715 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.716 * [backup-simplify]: Simplify (+ 0) into 0 12.717 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 12.717 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 12.718 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.718 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 12.719 * [backup-simplify]: Simplify (- 0) into 0 12.719 * [backup-simplify]: Simplify (+ 0 0) into 0 12.719 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 12.720 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 12.720 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 12.721 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 12.721 * [backup-simplify]: Simplify (+ 0 0) into 0 12.721 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 12.721 * [taylor]: Taking taylor expansion of (pow J 1/3) in J 12.721 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log J))) in J 12.722 * [taylor]: Taking taylor expansion of (* 1/3 (log J)) in J 12.722 * [taylor]: Taking taylor expansion of 1/3 in J 12.722 * [backup-simplify]: Simplify 1/3 into 1/3 12.722 * [taylor]: Taking taylor expansion of (log J) in J 12.722 * [taylor]: Taking taylor expansion of J in J 12.722 * [backup-simplify]: Simplify 0 into 0 12.722 * [backup-simplify]: Simplify 1 into 1 12.722 * [backup-simplify]: Simplify (log 1) into 0 12.723 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 12.723 * [backup-simplify]: Simplify (* 1/3 (log J)) into (* 1/3 (log J)) 12.723 * [backup-simplify]: Simplify (exp (* 1/3 (log J))) into (pow J 1/3) 12.723 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) (pow J 1/3)))) in J 12.723 * [taylor]: Taking taylor expansion of -2 in J 12.723 * [backup-simplify]: Simplify -2 into -2 12.723 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) (pow J 1/3))) in J 12.723 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 12.723 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 12.723 * [taylor]: Taking taylor expansion of 1/2 in J 12.723 * [backup-simplify]: Simplify 1/2 into 1/2 12.723 * [taylor]: Taking taylor expansion of K in J 12.723 * [backup-simplify]: Simplify K into K 12.723 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.723 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.723 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.723 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) (pow J 1/3)) in J 12.723 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J 12.723 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J 12.723 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J 12.723 * [taylor]: Taking taylor expansion of 1/4 in J 12.723 * [backup-simplify]: Simplify 1/4 into 1/4 12.723 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J 12.723 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.723 * [taylor]: Taking taylor expansion of U in J 12.723 * [backup-simplify]: Simplify U into U 12.723 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J 12.723 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J 12.723 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J 12.723 * [taylor]: Taking taylor expansion of (* 1/2 K) in J 12.723 * [taylor]: Taking taylor expansion of 1/2 in J 12.723 * [backup-simplify]: Simplify 1/2 into 1/2 12.724 * [taylor]: Taking taylor expansion of K in J 12.724 * [backup-simplify]: Simplify K into K 12.724 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 12.724 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) 12.724 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) 12.724 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.724 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.724 * [backup-simplify]: Simplify (- 0) into 0 12.724 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.724 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.724 * [taylor]: Taking taylor expansion of J in J 12.724 * [backup-simplify]: Simplify 0 into 0 12.724 * [backup-simplify]: Simplify 1 into 1 12.724 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.724 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2) 12.725 * [backup-simplify]: Simplify (* 1 1) into 1 12.725 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) 12.725 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) 12.725 * [taylor]: Taking taylor expansion of 1 in J 12.725 * [backup-simplify]: Simplify 1 into 1 12.725 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 12.725 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 12.725 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K)))) 12.725 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.726 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.726 * [backup-simplify]: Simplify (+ 0) into 0 12.726 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 12.727 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 12.727 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.727 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 12.728 * [backup-simplify]: Simplify (- 0) into 0 12.728 * [backup-simplify]: Simplify (+ 0 0) into 0 12.728 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0 12.728 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 12.729 * [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 12.729 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0 12.733 * [backup-simplify]: Simplify (+ 0 0) into 0 12.733 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0 12.733 * [taylor]: Taking taylor expansion of (pow J 1/3) in J 12.733 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log J))) in J 12.733 * [taylor]: Taking taylor expansion of (* 1/3 (log J)) in J 12.733 * [taylor]: Taking taylor expansion of 1/3 in J 12.733 * [backup-simplify]: Simplify 1/3 into 1/3 12.733 * [taylor]: Taking taylor expansion of (log J) in J 12.733 * [taylor]: Taking taylor expansion of J in J 12.733 * [backup-simplify]: Simplify 0 into 0 12.733 * [backup-simplify]: Simplify 1 into 1 12.734 * [backup-simplify]: Simplify (log 1) into 0 12.734 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 12.734 * [backup-simplify]: Simplify (* 1/3 (log J)) into (* 1/3 (log J)) 12.734 * [backup-simplify]: Simplify (exp (* 1/3 (log J))) into (pow J 1/3) 12.734 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) 12.735 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0 12.735 * [backup-simplify]: Simplify (- 0) into 0 12.735 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) 12.735 * [backup-simplify]: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (pow J 1/3)) into (* 1/2 (* (/ U (cos (* 1/2 K))) (pow J 1/3))) 12.735 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (* 1/2 (* (/ U (cos (* 1/2 K))) (pow J 1/3)))) into (* 1/2 (* U (pow J 1/3))) 12.735 * [backup-simplify]: Simplify (* -2 (* 1/2 (* U (pow J 1/3)))) into (* -1 (* U (pow J 1/3))) 12.735 * [taylor]: Taking taylor expansion of (* -1 (* U (pow J 1/3))) in K 12.735 * [taylor]: Taking taylor expansion of -1 in K 12.735 * [backup-simplify]: Simplify -1 into -1 12.735 * [taylor]: Taking taylor expansion of (* U (pow J 1/3)) in K 12.735 * [taylor]: Taking taylor expansion of U in K 12.735 * [backup-simplify]: Simplify U into U 12.735 * [taylor]: Taking taylor expansion of (pow J 1/3) in K 12.735 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log J))) in K 12.735 * [taylor]: Taking taylor expansion of (* 1/3 (log J)) in K 12.735 * [taylor]: Taking taylor expansion of 1/3 in K 12.735 * [backup-simplify]: Simplify 1/3 into 1/3 12.735 * [taylor]: Taking taylor expansion of (log J) in K 12.735 * [taylor]: Taking taylor expansion of J in K 12.735 * [backup-simplify]: Simplify J into J 12.735 * [backup-simplify]: Simplify (log J) into (log J) 12.735 * [backup-simplify]: Simplify (* 1/3 (log J)) into (* 1/3 (log J)) 12.735 * [backup-simplify]: Simplify (exp (* 1/3 (log J))) into (pow J 1/3) 12.736 * [backup-simplify]: Simplify (* U (pow J 1/3)) into (* U (pow J 1/3)) 12.736 * [backup-simplify]: Simplify (* -1 (* U (pow J 1/3))) into (* -1 (* U (pow J 1/3))) 12.736 * [taylor]: Taking taylor expansion of (* -1 (* U (pow J 1/3))) in U 12.736 * [taylor]: Taking taylor expansion of -1 in U 12.736 * [backup-simplify]: Simplify -1 into -1 12.736 * [taylor]: Taking taylor expansion of (* U (pow J 1/3)) in U 12.736 * [taylor]: Taking taylor expansion of U in U 12.736 * [backup-simplify]: Simplify 0 into 0 12.736 * [backup-simplify]: Simplify 1 into 1 12.736 * [taylor]: Taking taylor expansion of (pow J 1/3) in U 12.736 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log J))) in U 12.736 * [taylor]: Taking taylor expansion of (* 1/3 (log J)) in U 12.736 * [taylor]: Taking taylor expansion of 1/3 in U 12.736 * [backup-simplify]: Simplify 1/3 into 1/3 12.736 * [taylor]: Taking taylor expansion of (log J) in U 12.736 * [taylor]: Taking taylor expansion of J in U 12.736 * [backup-simplify]: Simplify J into J 12.736 * [backup-simplify]: Simplify (log J) into (log J) 12.736 * [backup-simplify]: Simplify (* 1/3 (log J)) into (* 1/3 (log J)) 12.736 * [backup-simplify]: Simplify (exp (* 1/3 (log J))) into (pow J 1/3) 12.736 * [backup-simplify]: Simplify (* 0 (pow J 1/3)) into 0 12.736 * [backup-simplify]: Simplify (* -1 0) into 0 12.736 * [backup-simplify]: Simplify 0 into 0 12.737 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.738 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 12.738 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log J))) into 0 12.738 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 12.739 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (* 0 (pow J 1/3))) into 0 12.739 * [backup-simplify]: Simplify (+ 0) into 0 12.739 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 12.739 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 12.740 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.740 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 12.740 * [backup-simplify]: Simplify (- 0) into 0 12.741 * [backup-simplify]: Simplify (+ 0 0) into 0 12.741 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (* 1/2 (* (/ U (cos (* 1/2 K))) (pow J 1/3))))) into 0 12.741 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* 1/2 (* U (pow J 1/3))))) into 0 12.741 * [taylor]: Taking taylor expansion of 0 in K 12.741 * [backup-simplify]: Simplify 0 into 0 12.741 * [taylor]: Taking taylor expansion of 0 in U 12.741 * [backup-simplify]: Simplify 0 into 0 12.741 * [backup-simplify]: Simplify 0 into 0 12.742 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 12.742 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log J))) into 0 12.743 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 12.743 * [backup-simplify]: Simplify (+ (* U 0) (* 0 (pow J 1/3))) into 0 12.743 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (* U (pow J 1/3)))) into 0 12.743 * [taylor]: Taking taylor expansion of 0 in U 12.743 * [backup-simplify]: Simplify 0 into 0 12.743 * [backup-simplify]: Simplify 0 into 0 12.744 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 12.744 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log J))) into 0 12.745 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 12.745 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow J 1/3))) into (pow J 1/3) 12.745 * [backup-simplify]: Simplify (+ (* -1 (pow J 1/3)) (* 0 0)) into (- (pow J 1/3)) 12.745 * [backup-simplify]: Simplify (- (pow J 1/3)) into (- (pow J 1/3)) 12.747 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 12.747 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 12.748 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log J)))) into 0 12.748 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.749 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (* 0 U))) into 0 12.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.750 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.750 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.751 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 12.751 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.752 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.752 * [backup-simplify]: Simplify (- 0) into 0 12.752 * [backup-simplify]: Simplify (+ 0 0) into 0 12.753 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 12.754 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 12.755 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 12.756 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into 0 12.757 * [backup-simplify]: Simplify (+ 0 1) into 1 12.758 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into (/ (cos (* 1/2 K)) U) 12.759 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (+ (* 0 0) (* (/ (cos (* 1/2 K)) U) (pow J 1/3)))) into (* (/ (cos (* 1/2 K)) U) (pow J 1/3)) 12.760 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.761 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.762 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 12.763 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.763 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.764 * [backup-simplify]: Simplify (- 0) into 0 12.764 * [backup-simplify]: Simplify (+ 0 0) into 0 12.765 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) (* (/ (cos (* 1/2 K)) U) (pow J 1/3))) (+ (* 0 0) (* 0 (* 1/2 (* (/ U (cos (* 1/2 K))) (pow J 1/3)))))) into (* (/ (pow (cos (* 1/2 K)) 2) U) (pow J 1/3)) 12.766 * [backup-simplify]: Simplify (+ (* -2 (* (/ (pow (cos (* 1/2 K)) 2) U) (pow J 1/3))) (+ (* 0 0) (* 0 (* 1/2 (* U (pow J 1/3)))))) into (- (* 2 (* (/ (pow (cos (* 1/2 K)) 2) U) (pow J 1/3)))) 12.766 * [taylor]: Taking taylor expansion of (- (* 2 (* (/ (pow (cos (* 1/2 K)) 2) U) (pow J 1/3)))) in K 12.766 * [taylor]: Taking taylor expansion of (* 2 (* (/ (pow (cos (* 1/2 K)) 2) U) (pow J 1/3))) in K 12.766 * [taylor]: Taking taylor expansion of 2 in K 12.766 * [backup-simplify]: Simplify 2 into 2 12.766 * [taylor]: Taking taylor expansion of (* (/ (pow (cos (* 1/2 K)) 2) U) (pow J 1/3)) in K 12.766 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 K)) 2) U) in K 12.766 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K 12.766 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K 12.766 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 12.766 * [taylor]: Taking taylor expansion of 1/2 in K 12.766 * [backup-simplify]: Simplify 1/2 into 1/2 12.766 * [taylor]: Taking taylor expansion of K in K 12.766 * [backup-simplify]: Simplify 0 into 0 12.766 * [backup-simplify]: Simplify 1 into 1 12.767 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.768 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.768 * [taylor]: Taking taylor expansion of U in K 12.768 * [backup-simplify]: Simplify U into U 12.769 * [backup-simplify]: Simplify (* 1 1) into 1 12.769 * [backup-simplify]: Simplify (/ 1 U) into (/ 1 U) 12.769 * [taylor]: Taking taylor expansion of (pow J 1/3) in K 12.769 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log J))) in K 12.769 * [taylor]: Taking taylor expansion of (* 1/3 (log J)) in K 12.769 * [taylor]: Taking taylor expansion of 1/3 in K 12.769 * [backup-simplify]: Simplify 1/3 into 1/3 12.769 * [taylor]: Taking taylor expansion of (log J) in K 12.769 * [taylor]: Taking taylor expansion of J in K 12.769 * [backup-simplify]: Simplify J into J 12.769 * [backup-simplify]: Simplify (log J) into (log J) 12.769 * [backup-simplify]: Simplify (* 1/3 (log J)) into (* 1/3 (log J)) 12.769 * [backup-simplify]: Simplify (exp (* 1/3 (log J))) into (pow J 1/3) 12.770 * [backup-simplify]: Simplify (* (/ 1 U) (pow J 1/3)) into (* (/ 1 U) (pow J 1/3)) 12.770 * [backup-simplify]: Simplify (* 2 (* (/ 1 U) (pow J 1/3))) into (* 2 (* (/ 1 U) (pow J 1/3))) 12.770 * [backup-simplify]: Simplify (- (* 2 (* (/ 1 U) (pow J 1/3)))) into (- (* 2 (* (/ 1 U) (pow J 1/3)))) 12.770 * [taylor]: Taking taylor expansion of (- (* 2 (* (/ 1 U) (pow J 1/3)))) in U 12.770 * [taylor]: Taking taylor expansion of (* 2 (* (/ 1 U) (pow J 1/3))) in U 12.770 * [taylor]: Taking taylor expansion of 2 in U 12.770 * [backup-simplify]: Simplify 2 into 2 12.770 * [taylor]: Taking taylor expansion of (* (/ 1 U) (pow J 1/3)) in U 12.770 * [taylor]: Taking taylor expansion of (/ 1 U) in U 12.770 * [taylor]: Taking taylor expansion of U in U 12.771 * [backup-simplify]: Simplify 0 into 0 12.771 * [backup-simplify]: Simplify 1 into 1 12.771 * [backup-simplify]: Simplify (/ 1 1) into 1 12.771 * [taylor]: Taking taylor expansion of (pow J 1/3) in U 12.771 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log J))) in U 12.771 * [taylor]: Taking taylor expansion of (* 1/3 (log J)) in U 12.771 * [taylor]: Taking taylor expansion of 1/3 in U 12.771 * [backup-simplify]: Simplify 1/3 into 1/3 12.771 * [taylor]: Taking taylor expansion of (log J) in U 12.772 * [taylor]: Taking taylor expansion of J in U 12.772 * [backup-simplify]: Simplify J into J 12.772 * [backup-simplify]: Simplify (log J) into (log J) 12.773 * [backup-simplify]: Simplify (* 1/3 (log J)) into (* 1/3 (log J)) 12.773 * [backup-simplify]: Simplify (exp (* 1/3 (log J))) into (pow J 1/3) 12.774 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 12.775 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log J))) into 0 12.776 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 12.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 1/3))) into 0 12.777 * [backup-simplify]: Simplify (* 1 (pow J 1/3)) into (pow J 1/3) 12.777 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow J 1/3))) into 0 12.777 * [backup-simplify]: Simplify (- 0) into 0 12.777 * [backup-simplify]: Simplify 0 into 0 12.777 * [taylor]: Taking taylor expansion of 0 in U 12.778 * [backup-simplify]: Simplify 0 into 0 12.778 * [backup-simplify]: Simplify 0 into 0 12.779 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow J 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow J 1)))) 2) into 0 12.779 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log J)))) into 0 12.780 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.780 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (* 0 (pow J 1/3)))) into 0 12.781 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (* U (pow J 1/3))))) into 0 12.781 * [taylor]: Taking taylor expansion of 0 in U 12.781 * [backup-simplify]: Simplify 0 into 0 12.781 * [backup-simplify]: Simplify 0 into 0 12.781 * [backup-simplify]: Simplify 0 into 0 12.781 * [backup-simplify]: Simplify 0 into 0 12.782 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow J 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow J 1)))) 2) into 0 12.782 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log J)))) into 0 12.783 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.784 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow J 1/3)))) into 0 12.784 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (pow J 1/3)) (* 0 0))) into 0 12.784 * [backup-simplify]: Simplify 0 into 0 12.784 * [backup-simplify]: Simplify (* (- (pow J 1/3)) (* U (* 1 (/ 1 J)))) into (* -1 (* (pow (/ 1 (pow J 2)) 1/3) U)) 12.785 * [backup-simplify]: Simplify (* (cbrt (/ 1 J)) (* (* -2 (cos (/ (/ 1 K) 2))) (sqrt (+ (* (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J)))) (/ (/ 1 U) (* (cos (/ (/ 1 K) 2)) (* 2 (/ 1 J))))) 1)))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (* (pow (/ 1 J) 1/3) (cos (/ 1/2 K))))) 12.785 * [approximate]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (* (pow (/ 1 J) 1/3) (cos (/ 1/2 K))))) in (J K U) around 0 12.785 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (* (pow (/ 1 J) 1/3) (cos (/ 1/2 K))))) in U 12.785 * [taylor]: Taking taylor expansion of -2 in U 12.785 * [backup-simplify]: Simplify -2 into -2 12.785 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (* (pow (/ 1 J) 1/3) (cos (/ 1/2 K)))) in U 12.785 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U 12.785 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U 12.785 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U 12.785 * [taylor]: Taking taylor expansion of 1/4 in U 12.785 * [backup-simplify]: Simplify 1/4 into 1/4 12.785 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U 12.785 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.785 * [taylor]: Taking taylor expansion of J in U 12.785 * [backup-simplify]: Simplify J into J 12.785 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U 12.785 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.785 * [taylor]: Taking taylor expansion of U in U 12.785 * [backup-simplify]: Simplify 0 into 0 12.785 * [backup-simplify]: Simplify 1 into 1 12.785 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U 12.785 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 12.785 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 12.785 * [taylor]: Taking taylor expansion of 1/2 in U 12.785 * [backup-simplify]: Simplify 1/2 into 1/2 12.785 * [taylor]: Taking taylor expansion of K in U 12.785 * [backup-simplify]: Simplify K into K 12.785 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.785 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.785 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.785 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.786 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.786 * [backup-simplify]: Simplify (- 0) into 0 12.786 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.786 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.786 * [backup-simplify]: Simplify (* 1 1) into 1 12.786 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.786 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2) 12.786 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) 12.786 * [taylor]: Taking taylor expansion of 1 in U 12.786 * [backup-simplify]: Simplify 1 into 1 12.787 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 12.787 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 12.787 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K)))) 12.787 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.787 * [backup-simplify]: Simplify (+ 0) into 0 12.787 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.788 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.788 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.788 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.789 * [backup-simplify]: Simplify (- 0) into 0 12.789 * [backup-simplify]: Simplify (+ 0 0) into 0 12.789 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.790 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 12.790 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0 12.790 * [backup-simplify]: Simplify (+ 0 0) into 0 12.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 12.791 * [taylor]: Taking taylor expansion of (* (pow (/ 1 J) 1/3) (cos (/ 1/2 K))) in U 12.791 * [taylor]: Taking taylor expansion of (pow (/ 1 J) 1/3) in U 12.791 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 J)))) in U 12.791 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 J))) in U 12.791 * [taylor]: Taking taylor expansion of 1/3 in U 12.791 * [backup-simplify]: Simplify 1/3 into 1/3 12.791 * [taylor]: Taking taylor expansion of (log (/ 1 J)) in U 12.791 * [taylor]: Taking taylor expansion of (/ 1 J) in U 12.791 * [taylor]: Taking taylor expansion of J in U 12.791 * [backup-simplify]: Simplify J into J 12.791 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J) 12.791 * [backup-simplify]: Simplify (log (/ 1 J)) into (log (/ 1 J)) 12.791 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 J))) into (* 1/3 (log (/ 1 J))) 12.791 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 J)))) into (pow (/ 1 J) 1/3) 12.791 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 12.791 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 12.791 * [taylor]: Taking taylor expansion of 1/2 in U 12.791 * [backup-simplify]: Simplify 1/2 into 1/2 12.791 * [taylor]: Taking taylor expansion of K in U 12.791 * [backup-simplify]: Simplify K into K 12.791 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.791 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.791 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.791 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (* (pow (/ 1 J) 1/3) (cos (/ 1/2 K))))) in K 12.791 * [taylor]: Taking taylor expansion of -2 in K 12.791 * [backup-simplify]: Simplify -2 into -2 12.791 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (* (pow (/ 1 J) 1/3) (cos (/ 1/2 K)))) in K 12.791 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K 12.791 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K 12.791 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K 12.791 * [taylor]: Taking taylor expansion of 1/4 in K 12.791 * [backup-simplify]: Simplify 1/4 into 1/4 12.791 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K 12.791 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.791 * [taylor]: Taking taylor expansion of J in K 12.791 * [backup-simplify]: Simplify J into J 12.791 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K 12.791 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.791 * [taylor]: Taking taylor expansion of U in K 12.791 * [backup-simplify]: Simplify U into U 12.791 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K 12.791 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.791 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.791 * [taylor]: Taking taylor expansion of 1/2 in K 12.791 * [backup-simplify]: Simplify 1/2 into 1/2 12.792 * [taylor]: Taking taylor expansion of K in K 12.792 * [backup-simplify]: Simplify 0 into 0 12.792 * [backup-simplify]: Simplify 1 into 1 12.792 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.792 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.792 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.792 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.792 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.792 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 12.792 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 12.792 * [taylor]: Taking taylor expansion of 1 in K 12.792 * [backup-simplify]: Simplify 1 into 1 12.792 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 12.793 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 12.793 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 12.793 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.793 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.793 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.793 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.793 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 12.794 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 12.794 * [backup-simplify]: Simplify (+ 0 0) into 0 12.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 12.794 * [taylor]: Taking taylor expansion of (* (pow (/ 1 J) 1/3) (cos (/ 1/2 K))) in K 12.794 * [taylor]: Taking taylor expansion of (pow (/ 1 J) 1/3) in K 12.794 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 J)))) in K 12.794 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 J))) in K 12.794 * [taylor]: Taking taylor expansion of 1/3 in K 12.795 * [backup-simplify]: Simplify 1/3 into 1/3 12.795 * [taylor]: Taking taylor expansion of (log (/ 1 J)) in K 12.795 * [taylor]: Taking taylor expansion of (/ 1 J) in K 12.795 * [taylor]: Taking taylor expansion of J in K 12.795 * [backup-simplify]: Simplify J into J 12.795 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J) 12.795 * [backup-simplify]: Simplify (log (/ 1 J)) into (log (/ 1 J)) 12.795 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 J))) into (* 1/3 (log (/ 1 J))) 12.795 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 J)))) into (pow (/ 1 J) 1/3) 12.795 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.795 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.795 * [taylor]: Taking taylor expansion of 1/2 in K 12.795 * [backup-simplify]: Simplify 1/2 into 1/2 12.795 * [taylor]: Taking taylor expansion of K in K 12.795 * [backup-simplify]: Simplify 0 into 0 12.795 * [backup-simplify]: Simplify 1 into 1 12.795 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.795 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.795 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (* (pow (/ 1 J) 1/3) (cos (/ 1/2 K))))) in J 12.795 * [taylor]: Taking taylor expansion of -2 in J 12.795 * [backup-simplify]: Simplify -2 into -2 12.795 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (* (pow (/ 1 J) 1/3) (cos (/ 1/2 K)))) in J 12.795 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 12.795 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 12.795 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 12.795 * [taylor]: Taking taylor expansion of 1/4 in J 12.795 * [backup-simplify]: Simplify 1/4 into 1/4 12.795 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 12.795 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.795 * [taylor]: Taking taylor expansion of J in J 12.795 * [backup-simplify]: Simplify 0 into 0 12.795 * [backup-simplify]: Simplify 1 into 1 12.795 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 12.795 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.795 * [taylor]: Taking taylor expansion of U in J 12.796 * [backup-simplify]: Simplify U into U 12.796 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 12.796 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.796 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.796 * [taylor]: Taking taylor expansion of 1/2 in J 12.796 * [backup-simplify]: Simplify 1/2 into 1/2 12.796 * [taylor]: Taking taylor expansion of K in J 12.796 * [backup-simplify]: Simplify K into K 12.796 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.796 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.796 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.796 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.796 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.796 * [backup-simplify]: Simplify (- 0) into 0 12.796 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.796 * [backup-simplify]: Simplify (* 1 1) into 1 12.796 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.797 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.797 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 12.797 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 12.797 * [taylor]: Taking taylor expansion of 1 in J 12.797 * [backup-simplify]: Simplify 1 into 1 12.797 * [backup-simplify]: Simplify (+ 0 1) into 1 12.797 * [backup-simplify]: Simplify (sqrt 1) into 1 12.797 * [backup-simplify]: Simplify (+ 0 0) into 0 12.798 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.798 * [taylor]: Taking taylor expansion of (* (pow (/ 1 J) 1/3) (cos (/ 1/2 K))) in J 12.798 * [taylor]: Taking taylor expansion of (pow (/ 1 J) 1/3) in J 12.798 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 J)))) in J 12.798 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 J))) in J 12.798 * [taylor]: Taking taylor expansion of 1/3 in J 12.798 * [backup-simplify]: Simplify 1/3 into 1/3 12.798 * [taylor]: Taking taylor expansion of (log (/ 1 J)) in J 12.798 * [taylor]: Taking taylor expansion of (/ 1 J) in J 12.798 * [taylor]: Taking taylor expansion of J in J 12.798 * [backup-simplify]: Simplify 0 into 0 12.798 * [backup-simplify]: Simplify 1 into 1 12.798 * [backup-simplify]: Simplify (/ 1 1) into 1 12.799 * [backup-simplify]: Simplify (log 1) into 0 12.799 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 12.799 * [backup-simplify]: Simplify (* 1/3 (- (log J))) into (* -1/3 (log J)) 12.799 * [backup-simplify]: Simplify (exp (* -1/3 (log J))) into (pow J -1/3) 12.799 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.799 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.799 * [taylor]: Taking taylor expansion of 1/2 in J 12.799 * [backup-simplify]: Simplify 1/2 into 1/2 12.799 * [taylor]: Taking taylor expansion of K in J 12.799 * [backup-simplify]: Simplify K into K 12.799 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.799 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.799 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.799 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (* (pow (/ 1 J) 1/3) (cos (/ 1/2 K))))) in J 12.799 * [taylor]: Taking taylor expansion of -2 in J 12.799 * [backup-simplify]: Simplify -2 into -2 12.799 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (* (pow (/ 1 J) 1/3) (cos (/ 1/2 K)))) in J 12.799 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J 12.799 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J 12.799 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J 12.799 * [taylor]: Taking taylor expansion of 1/4 in J 12.799 * [backup-simplify]: Simplify 1/4 into 1/4 12.799 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J 12.799 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.799 * [taylor]: Taking taylor expansion of J in J 12.799 * [backup-simplify]: Simplify 0 into 0 12.799 * [backup-simplify]: Simplify 1 into 1 12.799 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J 12.799 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.799 * [taylor]: Taking taylor expansion of U in J 12.800 * [backup-simplify]: Simplify U into U 12.800 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J 12.800 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.800 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.800 * [taylor]: Taking taylor expansion of 1/2 in J 12.800 * [backup-simplify]: Simplify 1/2 into 1/2 12.800 * [taylor]: Taking taylor expansion of K in J 12.800 * [backup-simplify]: Simplify K into K 12.800 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.800 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.800 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.800 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.800 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.800 * [backup-simplify]: Simplify (- 0) into 0 12.800 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.800 * [backup-simplify]: Simplify (* 1 1) into 1 12.800 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.801 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2) 12.801 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) 12.801 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 12.801 * [taylor]: Taking taylor expansion of 1 in J 12.801 * [backup-simplify]: Simplify 1 into 1 12.801 * [backup-simplify]: Simplify (+ 0 1) into 1 12.801 * [backup-simplify]: Simplify (sqrt 1) into 1 12.802 * [backup-simplify]: Simplify (+ 0 0) into 0 12.802 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.802 * [taylor]: Taking taylor expansion of (* (pow (/ 1 J) 1/3) (cos (/ 1/2 K))) in J 12.802 * [taylor]: Taking taylor expansion of (pow (/ 1 J) 1/3) in J 12.802 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 J)))) in J 12.802 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 J))) in J 12.802 * [taylor]: Taking taylor expansion of 1/3 in J 12.802 * [backup-simplify]: Simplify 1/3 into 1/3 12.802 * [taylor]: Taking taylor expansion of (log (/ 1 J)) in J 12.802 * [taylor]: Taking taylor expansion of (/ 1 J) in J 12.802 * [taylor]: Taking taylor expansion of J in J 12.802 * [backup-simplify]: Simplify 0 into 0 12.802 * [backup-simplify]: Simplify 1 into 1 12.802 * [backup-simplify]: Simplify (/ 1 1) into 1 12.803 * [backup-simplify]: Simplify (log 1) into 0 12.803 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 12.803 * [backup-simplify]: Simplify (* 1/3 (- (log J))) into (* -1/3 (log J)) 12.803 * [backup-simplify]: Simplify (exp (* -1/3 (log J))) into (pow J -1/3) 12.803 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J 12.803 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J 12.803 * [taylor]: Taking taylor expansion of 1/2 in J 12.803 * [backup-simplify]: Simplify 1/2 into 1/2 12.803 * [taylor]: Taking taylor expansion of K in J 12.803 * [backup-simplify]: Simplify K into K 12.803 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.803 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.803 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.803 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.803 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.804 * [backup-simplify]: Simplify (- 0) into 0 12.804 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.804 * [backup-simplify]: Simplify (* (pow J -1/3) (cos (/ 1/2 K))) into (* (pow (/ 1 J) 1/3) (cos (/ 1/2 K))) 12.804 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 J) 1/3) (cos (/ 1/2 K)))) into (* (pow (/ 1 J) 1/3) (cos (/ 1/2 K))) 12.804 * [backup-simplify]: Simplify (* -2 (* (pow (/ 1 J) 1/3) (cos (/ 1/2 K)))) into (* -2 (* (pow (/ 1 J) 1/3) (cos (/ 1/2 K)))) 12.804 * [taylor]: Taking taylor expansion of (* -2 (* (pow (/ 1 J) 1/3) (cos (/ 1/2 K)))) in K 12.804 * [taylor]: Taking taylor expansion of -2 in K 12.804 * [backup-simplify]: Simplify -2 into -2 12.804 * [taylor]: Taking taylor expansion of (* (pow (/ 1 J) 1/3) (cos (/ 1/2 K))) in K 12.804 * [taylor]: Taking taylor expansion of (pow (/ 1 J) 1/3) in K 12.804 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 J)))) in K 12.804 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 J))) in K 12.804 * [taylor]: Taking taylor expansion of 1/3 in K 12.804 * [backup-simplify]: Simplify 1/3 into 1/3 12.804 * [taylor]: Taking taylor expansion of (log (/ 1 J)) in K 12.804 * [taylor]: Taking taylor expansion of (/ 1 J) in K 12.805 * [taylor]: Taking taylor expansion of J in K 12.805 * [backup-simplify]: Simplify J into J 12.805 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J) 12.805 * [backup-simplify]: Simplify (log (/ 1 J)) into (log (/ 1 J)) 12.805 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 J))) into (* 1/3 (log (/ 1 J))) 12.805 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 J)))) into (pow (/ 1 J) 1/3) 12.805 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.805 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.805 * [taylor]: Taking taylor expansion of 1/2 in K 12.805 * [backup-simplify]: Simplify 1/2 into 1/2 12.805 * [taylor]: Taking taylor expansion of K in K 12.805 * [backup-simplify]: Simplify 0 into 0 12.805 * [backup-simplify]: Simplify 1 into 1 12.805 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.806 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.806 * [backup-simplify]: Simplify (* (pow (/ 1 J) 1/3) (cos (/ 1/2 K))) into (* (pow (/ 1 J) 1/3) (cos (/ 1/2 K))) 12.806 * [backup-simplify]: Simplify (* -2 (* (pow (/ 1 J) 1/3) (cos (/ 1/2 K)))) into (* -2 (* (pow (/ 1 J) 1/3) (cos (/ 1/2 K)))) 12.806 * [taylor]: Taking taylor expansion of (* -2 (* (pow (/ 1 J) 1/3) (cos (/ 1/2 K)))) in U 12.806 * [taylor]: Taking taylor expansion of -2 in U 12.806 * [backup-simplify]: Simplify -2 into -2 12.806 * [taylor]: Taking taylor expansion of (* (pow (/ 1 J) 1/3) (cos (/ 1/2 K))) in U 12.806 * [taylor]: Taking taylor expansion of (pow (/ 1 J) 1/3) in U 12.806 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 J)))) in U 12.806 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 J))) in U 12.806 * [taylor]: Taking taylor expansion of 1/3 in U 12.806 * [backup-simplify]: Simplify 1/3 into 1/3 12.806 * [taylor]: Taking taylor expansion of (log (/ 1 J)) in U 12.806 * [taylor]: Taking taylor expansion of (/ 1 J) in U 12.806 * [taylor]: Taking taylor expansion of J in U 12.806 * [backup-simplify]: Simplify J into J 12.806 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J) 12.806 * [backup-simplify]: Simplify (log (/ 1 J)) into (log (/ 1 J)) 12.806 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 J))) into (* 1/3 (log (/ 1 J))) 12.806 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 J)))) into (pow (/ 1 J) 1/3) 12.807 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 12.807 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 12.807 * [taylor]: Taking taylor expansion of 1/2 in U 12.807 * [backup-simplify]: Simplify 1/2 into 1/2 12.807 * [taylor]: Taking taylor expansion of K in U 12.807 * [backup-simplify]: Simplify K into K 12.807 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.807 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.807 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.807 * [backup-simplify]: Simplify (+ 0) into 0 12.808 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.808 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.809 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.809 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.809 * [backup-simplify]: Simplify (- 0) into 0 12.810 * [backup-simplify]: Simplify (+ 0 0) into 0 12.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.812 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.812 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 12.813 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log J)))) into 0 12.814 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 12.814 * [backup-simplify]: Simplify (+ (* (pow J -1/3) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (* (pow (/ 1 J) 1/3) (cos (/ 1/2 K))))) into 0 12.815 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (pow (/ 1 J) 1/3) (cos (/ 1/2 K))))) into 0 12.815 * [taylor]: Taking taylor expansion of 0 in K 12.815 * [backup-simplify]: Simplify 0 into 0 12.815 * [taylor]: Taking taylor expansion of 0 in U 12.815 * [backup-simplify]: Simplify 0 into 0 12.815 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 12.816 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 J) 1)))) 1) into 0 12.816 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 J)))) into 0 12.817 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 J)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.817 * [backup-simplify]: Simplify (+ (* (pow (/ 1 J) 1/3) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.818 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (pow (/ 1 J) 1/3) (cos (/ 1/2 K))))) into 0 12.818 * [taylor]: Taking taylor expansion of 0 in U 12.818 * [backup-simplify]: Simplify 0 into 0 12.818 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.818 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.819 * [backup-simplify]: Simplify (- 0) into 0 12.819 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.819 * [backup-simplify]: Simplify (* (pow (/ 1 J) 1/3) (cos (/ 1/2 K))) into (* (pow (/ 1 J) 1/3) (cos (/ 1/2 K))) 12.819 * [backup-simplify]: Simplify (* -2 (* (pow (/ 1 J) 1/3) (cos (/ 1/2 K)))) into (* -2 (* (pow (/ 1 J) 1/3) (cos (/ 1/2 K)))) 12.819 * [backup-simplify]: Simplify (* -2 (* (pow (/ 1 J) 1/3) (cos (/ 1/2 K)))) into (* -2 (* (pow (/ 1 J) 1/3) (cos (/ 1/2 K)))) 12.820 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.820 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.820 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.821 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.821 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.822 * [backup-simplify]: Simplify (- 0) into 0 12.822 * [backup-simplify]: Simplify (+ 0 0) into 0 12.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.824 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 12.824 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 12.825 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log J))))) into 0 12.826 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.826 * [backup-simplify]: Simplify (+ (* (pow J -1/3) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 12.826 * [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))) 12.826 * [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)))) 12.827 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 12.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (* (pow (/ 1 J) 1/3) (cos (/ 1/2 K)))))) into (* 1/8 (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) (pow (/ 1 J) 1/3))) 12.828 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) (pow (/ 1 J) 1/3)))) (+ (* 0 0) (* 0 (* (pow (/ 1 J) 1/3) (cos (/ 1/2 K)))))) into (- (* 1/4 (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) (pow (/ 1 J) 1/3)))) 12.829 * [taylor]: Taking taylor expansion of (- (* 1/4 (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) (pow (/ 1 J) 1/3)))) in K 12.829 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) (pow (/ 1 J) 1/3))) in K 12.829 * [taylor]: Taking taylor expansion of 1/4 in K 12.829 * [backup-simplify]: Simplify 1/4 into 1/4 12.829 * [taylor]: Taking taylor expansion of (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) (pow (/ 1 J) 1/3)) in K 12.829 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in K 12.829 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in K 12.829 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.829 * [taylor]: Taking taylor expansion of U in K 12.829 * [backup-simplify]: Simplify U into U 12.829 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K 12.829 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 12.829 * [taylor]: Taking taylor expansion of 1/2 in K 12.829 * [backup-simplify]: Simplify 1/2 into 1/2 12.829 * [taylor]: Taking taylor expansion of K in K 12.829 * [backup-simplify]: Simplify 0 into 0 12.829 * [backup-simplify]: Simplify 1 into 1 12.829 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.829 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.829 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.829 * [backup-simplify]: Simplify (* (pow U 2) (cos (/ 1/2 K))) into (* (pow U 2) (cos (/ 1/2 K))) 12.829 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) into (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) 12.829 * [taylor]: Taking taylor expansion of (pow (/ 1 J) 1/3) in K 12.829 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 J)))) in K 12.829 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 J))) in K 12.829 * [taylor]: Taking taylor expansion of 1/3 in K 12.829 * [backup-simplify]: Simplify 1/3 into 1/3 12.829 * [taylor]: Taking taylor expansion of (log (/ 1 J)) in K 12.829 * [taylor]: Taking taylor expansion of (/ 1 J) in K 12.829 * [taylor]: Taking taylor expansion of J in K 12.829 * [backup-simplify]: Simplify J into J 12.830 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J) 12.830 * [backup-simplify]: Simplify (log (/ 1 J)) into (log (/ 1 J)) 12.830 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 J))) into (* 1/3 (log (/ 1 J))) 12.830 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 J)))) into (pow (/ 1 J) 1/3) 12.830 * [backup-simplify]: Simplify (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) (pow (/ 1 J) 1/3)) into (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) (pow (/ 1 J) 1/3)) 12.830 * [backup-simplify]: Simplify (* 1/4 (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) (pow (/ 1 J) 1/3))) into (* 1/4 (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) (pow (/ 1 J) 1/3))) 12.830 * [backup-simplify]: Simplify (- (* 1/4 (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) (pow (/ 1 J) 1/3)))) into (- (* 1/4 (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) (pow (/ 1 J) 1/3)))) 12.830 * [taylor]: Taking taylor expansion of (- (* 1/4 (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) (pow (/ 1 J) 1/3)))) in U 12.830 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) (pow (/ 1 J) 1/3))) in U 12.830 * [taylor]: Taking taylor expansion of 1/4 in U 12.830 * [backup-simplify]: Simplify 1/4 into 1/4 12.830 * [taylor]: Taking taylor expansion of (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) (pow (/ 1 J) 1/3)) in U 12.830 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in U 12.830 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in U 12.830 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.830 * [taylor]: Taking taylor expansion of U in U 12.830 * [backup-simplify]: Simplify 0 into 0 12.830 * [backup-simplify]: Simplify 1 into 1 12.830 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U 12.830 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U 12.830 * [taylor]: Taking taylor expansion of 1/2 in U 12.830 * [backup-simplify]: Simplify 1/2 into 1/2 12.830 * [taylor]: Taking taylor expansion of K in U 12.830 * [backup-simplify]: Simplify K into K 12.830 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 12.831 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) 12.831 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) 12.831 * [backup-simplify]: Simplify (* 1 1) into 1 12.831 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) 12.831 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0 12.831 * [backup-simplify]: Simplify (- 0) into 0 12.831 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) 12.831 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K)) 12.831 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) 12.831 * [taylor]: Taking taylor expansion of (pow (/ 1 J) 1/3) in U 12.831 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 J)))) in U 12.831 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 J))) in U 12.831 * [taylor]: Taking taylor expansion of 1/3 in U 12.831 * [backup-simplify]: Simplify 1/3 into 1/3 12.831 * [taylor]: Taking taylor expansion of (log (/ 1 J)) in U 12.831 * [taylor]: Taking taylor expansion of (/ 1 J) in U 12.831 * [taylor]: Taking taylor expansion of J in U 12.831 * [backup-simplify]: Simplify J into J 12.832 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J) 12.832 * [backup-simplify]: Simplify (log (/ 1 J)) into (log (/ 1 J)) 12.832 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 J))) into (* 1/3 (log (/ 1 J))) 12.832 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 J)))) into (pow (/ 1 J) 1/3) 12.832 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 12.832 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 J) 1)))) 1) into 0 12.833 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 J)))) into 0 12.833 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 J)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.833 * [backup-simplify]: Simplify (+ 0) into 0 12.834 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.834 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.834 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.835 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.835 * [backup-simplify]: Simplify (- 0) into 0 12.835 * [backup-simplify]: Simplify (+ 0 0) into 0 12.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0 12.836 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 12.836 * [backup-simplify]: Simplify (+ (* (/ 1 (cos (/ 1/2 K))) 0) (* 0 (pow (/ 1 J) 1/3))) into 0 12.836 * [backup-simplify]: Simplify (* (/ 1 (cos (/ 1/2 K))) (pow (/ 1 J) 1/3)) into (* (pow (/ 1 J) 1/3) (/ 1 (cos (/ 1/2 K)))) 12.837 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* (pow (/ 1 J) 1/3) (/ 1 (cos (/ 1/2 K)))))) into 0 12.837 * [backup-simplify]: Simplify (- 0) into 0 12.837 * [backup-simplify]: Simplify 0 into 0 12.837 * [taylor]: Taking taylor expansion of 0 in U 12.837 * [backup-simplify]: Simplify 0 into 0 12.837 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 12.838 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 J) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 J) 1)))) 2) into 0 12.838 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 J))))) into 0 12.839 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.840 * [backup-simplify]: Simplify (+ (* (pow (/ 1 J) 1/3) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 12.840 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (* (pow (/ 1 J) 1/3) (cos (/ 1/2 K)))))) into 0 12.840 * [taylor]: Taking taylor expansion of 0 in U 12.840 * [backup-simplify]: Simplify 0 into 0 12.841 * [backup-simplify]: Simplify 0 into 0 12.841 * [backup-simplify]: Simplify 0 into 0 12.841 * [backup-simplify]: Simplify (+ 0) into 0 12.841 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.841 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.842 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.842 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.842 * [backup-simplify]: Simplify (- 0) into 0 12.846 * [backup-simplify]: Simplify (+ 0 0) into 0 12.846 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 12.847 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 J) 1)))) 1) into 0 12.847 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 J)))) into 0 12.848 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 J)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.848 * [backup-simplify]: Simplify (+ (* (pow (/ 1 J) 1/3) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.849 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (pow (/ 1 J) 1/3) (cos (/ 1/2 K))))) into 0 12.849 * [backup-simplify]: Simplify 0 into 0 12.850 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 12.851 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.851 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.853 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 12.854 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 12.854 * [backup-simplify]: Simplify (- 0) into 0 12.854 * [backup-simplify]: Simplify (+ 0 0) into 0 12.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.860 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 12.861 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 12.862 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J)))))) into 0 12.864 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.865 * [backup-simplify]: Simplify (+ (* (pow J -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 12.865 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.866 * [backup-simplify]: Simplify (+ 0) into 0 12.866 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 12.866 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 12.867 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.868 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 12.868 * [backup-simplify]: Simplify (- 0) into 0 12.868 * [backup-simplify]: Simplify (+ 0 0) into 0 12.868 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.869 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.869 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 12.869 * [backup-simplify]: Simplify (- (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (+ (* (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) (/ 0 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))) into 0 12.870 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0 12.870 * [backup-simplify]: Simplify (+ 0 0) into 0 12.871 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 1)) into 0 12.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) (* 0 (* (pow (/ 1 J) 1/3) (cos (/ 1/2 K))))))) into 0 12.873 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) (pow (/ 1 J) 1/3)))) (+ (* 0 0) (* 0 (* (pow (/ 1 J) 1/3) (cos (/ 1/2 K))))))) into 0 12.874 * [taylor]: Taking taylor expansion of 0 in K 12.874 * [backup-simplify]: Simplify 0 into 0 12.874 * [taylor]: Taking taylor expansion of 0 in U 12.874 * [backup-simplify]: Simplify 0 into 0 12.874 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 12.874 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 J) 1)))) 1) into 0 12.875 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 J)))) into 0 12.876 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 J)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.876 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.876 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (cos (/ 1/2 K)))) into 0 12.876 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) (/ 0 (* (pow U 2) (cos (/ 1/2 K))))))) into 0 12.877 * [backup-simplify]: Simplify (+ (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) 0) (* 0 (pow (/ 1 J) 1/3))) into 0 12.877 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) (pow (/ 1 J) 1/3)))) into 0 12.878 * [backup-simplify]: Simplify (- 0) into 0 12.878 * [taylor]: Taking taylor expansion of 0 in U 12.878 * [backup-simplify]: Simplify 0 into 0 12.878 * [taylor]: Taking taylor expansion of 0 in U 12.878 * [backup-simplify]: Simplify 0 into 0 12.878 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 12.881 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 J) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 J) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 J) 1)))) 6) into 0 12.882 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 J)))))) into 0 12.884 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 J)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.885 * [backup-simplify]: Simplify (+ (* (pow (/ 1 J) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 12.886 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow (/ 1 J) 1/3) (cos (/ 1/2 K))))))) into 0 12.886 * [taylor]: Taking taylor expansion of 0 in U 12.886 * [backup-simplify]: Simplify 0 into 0 12.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 12.888 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 J) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 J) 1)))) 2) into 0 12.889 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 J))))) into 0 12.890 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.891 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.891 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.892 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.892 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.893 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.893 * [backup-simplify]: Simplify (- 0) into 0 12.894 * [backup-simplify]: Simplify (+ 0 0) into 0 12.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 12.895 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 12.896 * [backup-simplify]: Simplify (+ (* (/ 1 (cos (/ 1/2 K))) 0) (+ (* 0 0) (* 0 (pow (/ 1 J) 1/3)))) into 0 12.897 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (* (pow (/ 1 J) 1/3) (/ 1 (cos (/ 1/2 K))))))) into 0 12.897 * [backup-simplify]: Simplify (- 0) into 0 12.897 * [backup-simplify]: Simplify 0 into 0 12.897 * [backup-simplify]: Simplify 0 into 0 12.897 * [backup-simplify]: Simplify (* -2 (* (pow (/ 1 (/ 1 J)) 1/3) (cos (/ 1/2 (/ 1 K))))) into (* -2 (* (cos (* 1/2 K)) (pow J 1/3))) 12.898 * [backup-simplify]: Simplify (* (cbrt (/ 1 (- J))) (* (* -2 (cos (/ (/ 1 (- K)) 2))) (sqrt (+ (* (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J))))) (/ (/ 1 (- U)) (* (cos (/ (/ 1 (- K)) 2)) (* 2 (/ 1 (- J)))))) 1)))) into (* -2 (* (* (cos (/ -1/2 K)) (cbrt -1)) (* (pow (/ 1 J) 1/3) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) 12.898 * [approximate]: Taking taylor expansion of (* -2 (* (* (cos (/ -1/2 K)) (cbrt -1)) (* (pow (/ 1 J) 1/3) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) in (J K U) around 0 12.898 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (/ -1/2 K)) (cbrt -1)) (* (pow (/ 1 J) 1/3) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) in U 12.898 * [taylor]: Taking taylor expansion of -2 in U 12.898 * [backup-simplify]: Simplify -2 into -2 12.899 * [taylor]: Taking taylor expansion of (* (* (cos (/ -1/2 K)) (cbrt -1)) (* (pow (/ 1 J) 1/3) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U 12.899 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (cbrt -1)) in U 12.899 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 12.899 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 12.899 * [taylor]: Taking taylor expansion of -1/2 in U 12.899 * [backup-simplify]: Simplify -1/2 into -1/2 12.899 * [taylor]: Taking taylor expansion of K in U 12.899 * [backup-simplify]: Simplify K into K 12.899 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.899 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.899 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.899 * [taylor]: Taking taylor expansion of (cbrt -1) in U 12.899 * [taylor]: Taking taylor expansion of -1 in U 12.899 * [backup-simplify]: Simplify -1 into -1 12.899 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.900 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.900 * [taylor]: Taking taylor expansion of (* (pow (/ 1 J) 1/3) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U 12.900 * [taylor]: Taking taylor expansion of (pow (/ 1 J) 1/3) in U 12.900 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 J)))) in U 12.900 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 J))) in U 12.900 * [taylor]: Taking taylor expansion of 1/3 in U 12.900 * [backup-simplify]: Simplify 1/3 into 1/3 12.900 * [taylor]: Taking taylor expansion of (log (/ 1 J)) in U 12.900 * [taylor]: Taking taylor expansion of (/ 1 J) in U 12.900 * [taylor]: Taking taylor expansion of J in U 12.900 * [backup-simplify]: Simplify J into J 12.900 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J) 12.900 * [backup-simplify]: Simplify (log (/ 1 J)) into (log (/ 1 J)) 12.901 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 J))) into (* 1/3 (log (/ 1 J))) 12.901 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 J)))) into (pow (/ 1 J) 1/3) 12.901 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U 12.901 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U 12.901 * [taylor]: Taking taylor expansion of 1 in U 12.901 * [backup-simplify]: Simplify 1 into 1 12.901 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U 12.901 * [taylor]: Taking taylor expansion of 1/4 in U 12.901 * [backup-simplify]: Simplify 1/4 into 1/4 12.901 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U 12.901 * [taylor]: Taking taylor expansion of (pow J 2) in U 12.901 * [taylor]: Taking taylor expansion of J in U 12.901 * [backup-simplify]: Simplify J into J 12.901 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U 12.901 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U 12.901 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 12.901 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 12.901 * [taylor]: Taking taylor expansion of -1/2 in U 12.901 * [backup-simplify]: Simplify -1/2 into -1/2 12.901 * [taylor]: Taking taylor expansion of K in U 12.901 * [backup-simplify]: Simplify K into K 12.901 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.901 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.901 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.901 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.901 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.902 * [backup-simplify]: Simplify (- 0) into 0 12.902 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.902 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.902 * [taylor]: Taking taylor expansion of U in U 12.902 * [backup-simplify]: Simplify 0 into 0 12.902 * [backup-simplify]: Simplify 1 into 1 12.902 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.902 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.903 * [backup-simplify]: Simplify (* 1 1) into 1 12.903 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2) 12.903 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) 12.903 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 12.903 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 12.903 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K)))) 12.904 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.905 * [backup-simplify]: Simplify (+ 0) into 0 12.905 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.905 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.906 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.906 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.906 * [backup-simplify]: Simplify (- 0) into 0 12.906 * [backup-simplify]: Simplify (+ 0 0) into 0 12.906 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.907 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0 12.907 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 12.907 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0 12.908 * [backup-simplify]: Simplify (+ 0 0) into 0 12.908 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0 12.908 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (/ -1/2 K)) (cbrt -1)) (* (pow (/ 1 J) 1/3) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) in K 12.908 * [taylor]: Taking taylor expansion of -2 in K 12.908 * [backup-simplify]: Simplify -2 into -2 12.908 * [taylor]: Taking taylor expansion of (* (* (cos (/ -1/2 K)) (cbrt -1)) (* (pow (/ 1 J) 1/3) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K 12.908 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (cbrt -1)) in K 12.908 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 12.908 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 12.908 * [taylor]: Taking taylor expansion of -1/2 in K 12.908 * [backup-simplify]: Simplify -1/2 into -1/2 12.908 * [taylor]: Taking taylor expansion of K in K 12.908 * [backup-simplify]: Simplify 0 into 0 12.908 * [backup-simplify]: Simplify 1 into 1 12.908 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.908 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.908 * [taylor]: Taking taylor expansion of (cbrt -1) in K 12.908 * [taylor]: Taking taylor expansion of -1 in K 12.908 * [backup-simplify]: Simplify -1 into -1 12.909 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.909 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.909 * [taylor]: Taking taylor expansion of (* (pow (/ 1 J) 1/3) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K 12.909 * [taylor]: Taking taylor expansion of (pow (/ 1 J) 1/3) in K 12.909 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 J)))) in K 12.909 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 J))) in K 12.909 * [taylor]: Taking taylor expansion of 1/3 in K 12.909 * [backup-simplify]: Simplify 1/3 into 1/3 12.909 * [taylor]: Taking taylor expansion of (log (/ 1 J)) in K 12.909 * [taylor]: Taking taylor expansion of (/ 1 J) in K 12.909 * [taylor]: Taking taylor expansion of J in K 12.909 * [backup-simplify]: Simplify J into J 12.909 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J) 12.909 * [backup-simplify]: Simplify (log (/ 1 J)) into (log (/ 1 J)) 12.909 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 J))) into (* 1/3 (log (/ 1 J))) 12.909 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 J)))) into (pow (/ 1 J) 1/3) 12.910 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K 12.910 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K 12.910 * [taylor]: Taking taylor expansion of 1 in K 12.910 * [backup-simplify]: Simplify 1 into 1 12.910 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K 12.910 * [taylor]: Taking taylor expansion of 1/4 in K 12.910 * [backup-simplify]: Simplify 1/4 into 1/4 12.910 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K 12.910 * [taylor]: Taking taylor expansion of (pow J 2) in K 12.910 * [taylor]: Taking taylor expansion of J in K 12.910 * [backup-simplify]: Simplify J into J 12.910 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K 12.910 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K 12.910 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 12.910 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 12.910 * [taylor]: Taking taylor expansion of -1/2 in K 12.910 * [backup-simplify]: Simplify -1/2 into -1/2 12.910 * [taylor]: Taking taylor expansion of K in K 12.910 * [backup-simplify]: Simplify 0 into 0 12.910 * [backup-simplify]: Simplify 1 into 1 12.910 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.910 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.910 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.910 * [taylor]: Taking taylor expansion of U in K 12.910 * [backup-simplify]: Simplify U into U 12.910 * [backup-simplify]: Simplify (* J J) into (pow J 2) 12.910 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.910 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.910 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 12.911 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 12.911 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 12.911 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 12.911 * [backup-simplify]: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) 12.911 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0 12.911 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.911 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.911 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 12.912 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 12.912 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 12.912 * [backup-simplify]: Simplify (+ 0 0) into 0 12.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 12.913 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (/ -1/2 K)) (cbrt -1)) (* (pow (/ 1 J) 1/3) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) in J 12.913 * [taylor]: Taking taylor expansion of -2 in J 12.913 * [backup-simplify]: Simplify -2 into -2 12.913 * [taylor]: Taking taylor expansion of (* (* (cos (/ -1/2 K)) (cbrt -1)) (* (pow (/ 1 J) 1/3) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 12.913 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (cbrt -1)) in J 12.913 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.913 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.913 * [taylor]: Taking taylor expansion of -1/2 in J 12.913 * [backup-simplify]: Simplify -1/2 into -1/2 12.913 * [taylor]: Taking taylor expansion of K in J 12.913 * [backup-simplify]: Simplify K into K 12.913 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.913 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.913 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.913 * [taylor]: Taking taylor expansion of (cbrt -1) in J 12.913 * [taylor]: Taking taylor expansion of -1 in J 12.913 * [backup-simplify]: Simplify -1 into -1 12.913 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.914 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.914 * [taylor]: Taking taylor expansion of (* (pow (/ 1 J) 1/3) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 12.914 * [taylor]: Taking taylor expansion of (pow (/ 1 J) 1/3) in J 12.914 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 J)))) in J 12.914 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 J))) in J 12.914 * [taylor]: Taking taylor expansion of 1/3 in J 12.914 * [backup-simplify]: Simplify 1/3 into 1/3 12.914 * [taylor]: Taking taylor expansion of (log (/ 1 J)) in J 12.914 * [taylor]: Taking taylor expansion of (/ 1 J) in J 12.914 * [taylor]: Taking taylor expansion of J in J 12.914 * [backup-simplify]: Simplify 0 into 0 12.914 * [backup-simplify]: Simplify 1 into 1 12.914 * [backup-simplify]: Simplify (/ 1 1) into 1 12.915 * [backup-simplify]: Simplify (log 1) into 0 12.915 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 12.915 * [backup-simplify]: Simplify (* 1/3 (- (log J))) into (* -1/3 (log J)) 12.915 * [backup-simplify]: Simplify (exp (* -1/3 (log J))) into (pow J -1/3) 12.915 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 12.915 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 12.915 * [taylor]: Taking taylor expansion of 1 in J 12.915 * [backup-simplify]: Simplify 1 into 1 12.915 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 12.915 * [taylor]: Taking taylor expansion of 1/4 in J 12.915 * [backup-simplify]: Simplify 1/4 into 1/4 12.915 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 12.915 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.915 * [taylor]: Taking taylor expansion of J in J 12.915 * [backup-simplify]: Simplify 0 into 0 12.915 * [backup-simplify]: Simplify 1 into 1 12.915 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 12.915 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 12.915 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.915 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.915 * [taylor]: Taking taylor expansion of -1/2 in J 12.915 * [backup-simplify]: Simplify -1/2 into -1/2 12.915 * [taylor]: Taking taylor expansion of K in J 12.915 * [backup-simplify]: Simplify K into K 12.915 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.915 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.915 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.915 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.915 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.916 * [backup-simplify]: Simplify (- 0) into 0 12.916 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.916 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.916 * [taylor]: Taking taylor expansion of U in J 12.916 * [backup-simplify]: Simplify U into U 12.916 * [backup-simplify]: Simplify (* 1 1) into 1 12.916 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.916 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.916 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 12.916 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 12.917 * [backup-simplify]: Simplify (+ 1 0) into 1 12.917 * [backup-simplify]: Simplify (sqrt 1) into 1 12.917 * [backup-simplify]: Simplify (+ 0 0) into 0 12.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.918 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (/ -1/2 K)) (cbrt -1)) (* (pow (/ 1 J) 1/3) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) in J 12.918 * [taylor]: Taking taylor expansion of -2 in J 12.918 * [backup-simplify]: Simplify -2 into -2 12.918 * [taylor]: Taking taylor expansion of (* (* (cos (/ -1/2 K)) (cbrt -1)) (* (pow (/ 1 J) 1/3) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J 12.918 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (cbrt -1)) in J 12.918 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.918 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.918 * [taylor]: Taking taylor expansion of -1/2 in J 12.918 * [backup-simplify]: Simplify -1/2 into -1/2 12.918 * [taylor]: Taking taylor expansion of K in J 12.918 * [backup-simplify]: Simplify K into K 12.918 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.918 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.918 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.918 * [taylor]: Taking taylor expansion of (cbrt -1) in J 12.918 * [taylor]: Taking taylor expansion of -1 in J 12.918 * [backup-simplify]: Simplify -1 into -1 12.918 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.919 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.919 * [taylor]: Taking taylor expansion of (* (pow (/ 1 J) 1/3) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J 12.919 * [taylor]: Taking taylor expansion of (pow (/ 1 J) 1/3) in J 12.919 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 J)))) in J 12.919 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 J))) in J 12.919 * [taylor]: Taking taylor expansion of 1/3 in J 12.919 * [backup-simplify]: Simplify 1/3 into 1/3 12.919 * [taylor]: Taking taylor expansion of (log (/ 1 J)) in J 12.919 * [taylor]: Taking taylor expansion of (/ 1 J) in J 12.919 * [taylor]: Taking taylor expansion of J in J 12.919 * [backup-simplify]: Simplify 0 into 0 12.919 * [backup-simplify]: Simplify 1 into 1 12.919 * [backup-simplify]: Simplify (/ 1 1) into 1 12.919 * [backup-simplify]: Simplify (log 1) into 0 12.920 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 12.920 * [backup-simplify]: Simplify (* 1/3 (- (log J))) into (* -1/3 (log J)) 12.920 * [backup-simplify]: Simplify (exp (* -1/3 (log J))) into (pow J -1/3) 12.920 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J 12.920 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J 12.920 * [taylor]: Taking taylor expansion of 1 in J 12.920 * [backup-simplify]: Simplify 1 into 1 12.920 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J 12.920 * [taylor]: Taking taylor expansion of 1/4 in J 12.920 * [backup-simplify]: Simplify 1/4 into 1/4 12.920 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J 12.920 * [taylor]: Taking taylor expansion of (pow J 2) in J 12.920 * [taylor]: Taking taylor expansion of J in J 12.920 * [backup-simplify]: Simplify 0 into 0 12.920 * [backup-simplify]: Simplify 1 into 1 12.920 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J 12.920 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J 12.920 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J 12.920 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J 12.920 * [taylor]: Taking taylor expansion of -1/2 in J 12.920 * [backup-simplify]: Simplify -1/2 into -1/2 12.920 * [taylor]: Taking taylor expansion of K in J 12.920 * [backup-simplify]: Simplify K into K 12.920 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.920 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.920 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.920 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.920 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.921 * [backup-simplify]: Simplify (- 0) into 0 12.921 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.921 * [taylor]: Taking taylor expansion of (pow U 2) in J 12.921 * [taylor]: Taking taylor expansion of U in J 12.921 * [backup-simplify]: Simplify U into U 12.921 * [backup-simplify]: Simplify (* 1 1) into 1 12.921 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2) 12.921 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.921 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) 12.921 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 12.921 * [backup-simplify]: Simplify (+ 1 0) into 1 12.922 * [backup-simplify]: Simplify (sqrt 1) into 1 12.922 * [backup-simplify]: Simplify (+ 0 0) into 0 12.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.922 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.923 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.923 * [backup-simplify]: Simplify (- 0) into 0 12.923 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.923 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cbrt -1)) into (* (cos (/ -1/2 K)) (cbrt -1)) 12.923 * [backup-simplify]: Simplify (* (pow J -1/3) 1) into (pow (/ 1 J) 1/3) 12.924 * [backup-simplify]: Simplify (* (* (cos (/ -1/2 K)) (cbrt -1)) (pow (/ 1 J) 1/3)) into (* (* (cos (/ -1/2 K)) (cbrt -1)) (pow (/ 1 J) 1/3)) 12.924 * [backup-simplify]: Simplify (* -2 (* (* (cos (/ -1/2 K)) (cbrt -1)) (pow (/ 1 J) 1/3))) into (* -2 (* (* (cos (/ -1/2 K)) (cbrt -1)) (pow (/ 1 J) 1/3))) 12.924 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (/ -1/2 K)) (cbrt -1)) (pow (/ 1 J) 1/3))) in K 12.924 * [taylor]: Taking taylor expansion of -2 in K 12.924 * [backup-simplify]: Simplify -2 into -2 12.924 * [taylor]: Taking taylor expansion of (* (* (cos (/ -1/2 K)) (cbrt -1)) (pow (/ 1 J) 1/3)) in K 12.924 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (cbrt -1)) in K 12.924 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 12.924 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 12.924 * [taylor]: Taking taylor expansion of -1/2 in K 12.924 * [backup-simplify]: Simplify -1/2 into -1/2 12.924 * [taylor]: Taking taylor expansion of K in K 12.924 * [backup-simplify]: Simplify 0 into 0 12.924 * [backup-simplify]: Simplify 1 into 1 12.925 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.925 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.925 * [taylor]: Taking taylor expansion of (cbrt -1) in K 12.925 * [taylor]: Taking taylor expansion of -1 in K 12.925 * [backup-simplify]: Simplify -1 into -1 12.925 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.925 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.925 * [taylor]: Taking taylor expansion of (pow (/ 1 J) 1/3) in K 12.925 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 J)))) in K 12.925 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 J))) in K 12.925 * [taylor]: Taking taylor expansion of 1/3 in K 12.925 * [backup-simplify]: Simplify 1/3 into 1/3 12.925 * [taylor]: Taking taylor expansion of (log (/ 1 J)) in K 12.926 * [taylor]: Taking taylor expansion of (/ 1 J) in K 12.926 * [taylor]: Taking taylor expansion of J in K 12.926 * [backup-simplify]: Simplify J into J 12.926 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J) 12.926 * [backup-simplify]: Simplify (log (/ 1 J)) into (log (/ 1 J)) 12.926 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 J))) into (* 1/3 (log (/ 1 J))) 12.926 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 J)))) into (pow (/ 1 J) 1/3) 12.926 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cbrt -1)) into (* (cos (/ -1/2 K)) (cbrt -1)) 12.926 * [backup-simplify]: Simplify (* (* (cos (/ -1/2 K)) (cbrt -1)) (pow (/ 1 J) 1/3)) into (* (* (cos (/ -1/2 K)) (cbrt -1)) (pow (/ 1 J) 1/3)) 12.927 * [backup-simplify]: Simplify (* -2 (* (* (cos (/ -1/2 K)) (cbrt -1)) (pow (/ 1 J) 1/3))) into (* -2 (* (* (cos (/ -1/2 K)) (cbrt -1)) (pow (/ 1 J) 1/3))) 12.927 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (/ -1/2 K)) (cbrt -1)) (pow (/ 1 J) 1/3))) in U 12.927 * [taylor]: Taking taylor expansion of -2 in U 12.927 * [backup-simplify]: Simplify -2 into -2 12.927 * [taylor]: Taking taylor expansion of (* (* (cos (/ -1/2 K)) (cbrt -1)) (pow (/ 1 J) 1/3)) in U 12.927 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (cbrt -1)) in U 12.927 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 12.927 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 12.927 * [taylor]: Taking taylor expansion of -1/2 in U 12.927 * [backup-simplify]: Simplify -1/2 into -1/2 12.927 * [taylor]: Taking taylor expansion of K in U 12.927 * [backup-simplify]: Simplify K into K 12.927 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.927 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.927 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.927 * [taylor]: Taking taylor expansion of (cbrt -1) in U 12.927 * [taylor]: Taking taylor expansion of -1 in U 12.927 * [backup-simplify]: Simplify -1 into -1 12.928 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.928 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.928 * [taylor]: Taking taylor expansion of (pow (/ 1 J) 1/3) in U 12.928 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 J)))) in U 12.928 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 J))) in U 12.928 * [taylor]: Taking taylor expansion of 1/3 in U 12.928 * [backup-simplify]: Simplify 1/3 into 1/3 12.928 * [taylor]: Taking taylor expansion of (log (/ 1 J)) in U 12.928 * [taylor]: Taking taylor expansion of (/ 1 J) in U 12.928 * [taylor]: Taking taylor expansion of J in U 12.928 * [backup-simplify]: Simplify J into J 12.928 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J) 12.928 * [backup-simplify]: Simplify (log (/ 1 J)) into (log (/ 1 J)) 12.928 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 J))) into (* 1/3 (log (/ 1 J))) 12.928 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 J)))) into (pow (/ 1 J) 1/3) 12.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.930 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.930 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 12.930 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log J)))) into 0 12.931 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 12.931 * [backup-simplify]: Simplify (+ (* (pow J -1/3) 0) (* 0 1)) into 0 12.931 * [backup-simplify]: Simplify (+ 0) into 0 12.932 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.932 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.932 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.932 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.933 * [backup-simplify]: Simplify (- 0) into 0 12.933 * [backup-simplify]: Simplify (+ 0 0) into 0 12.933 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cbrt -1))) into 0 12.934 * [backup-simplify]: Simplify (+ (* (* (cos (/ -1/2 K)) (cbrt -1)) 0) (* 0 (pow (/ 1 J) 1/3))) into 0 12.935 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (* (cos (/ -1/2 K)) (cbrt -1)) (pow (/ 1 J) 1/3)))) into 0 12.935 * [taylor]: Taking taylor expansion of 0 in K 12.935 * [backup-simplify]: Simplify 0 into 0 12.935 * [taylor]: Taking taylor expansion of 0 in U 12.935 * [backup-simplify]: Simplify 0 into 0 12.935 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 12.935 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 J) 1)))) 1) into 0 12.936 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 J)))) into 0 12.936 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 J)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.936 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cbrt -1))) into 0 12.937 * [backup-simplify]: Simplify (+ (* (* (cos (/ -1/2 K)) (cbrt -1)) 0) (* 0 (pow (/ 1 J) 1/3))) into 0 12.938 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (* (cos (/ -1/2 K)) (cbrt -1)) (pow (/ 1 J) 1/3)))) into 0 12.938 * [taylor]: Taking taylor expansion of 0 in U 12.938 * [backup-simplify]: Simplify 0 into 0 12.938 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.938 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.938 * [backup-simplify]: Simplify (- 0) into 0 12.938 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.938 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cbrt -1)) into (* (cos (/ -1/2 K)) (cbrt -1)) 12.939 * [backup-simplify]: Simplify (* (* (cos (/ -1/2 K)) (cbrt -1)) (pow (/ 1 J) 1/3)) into (* (* (cos (/ -1/2 K)) (cbrt -1)) (pow (/ 1 J) 1/3)) 12.939 * [backup-simplify]: Simplify (* -2 (* (* (cos (/ -1/2 K)) (cbrt -1)) (pow (/ 1 J) 1/3))) into (* -2 (* (* (cos (/ -1/2 K)) (cbrt -1)) (pow (/ 1 J) 1/3))) 12.940 * [backup-simplify]: Simplify (* -2 (* (* (cos (/ -1/2 K)) (cbrt -1)) (pow (/ 1 J) 1/3))) into (* -2 (* (* (cos (/ -1/2 K)) (cbrt -1)) (pow (/ 1 J) 1/3))) 12.940 * [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))) 12.940 * [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)))) 12.941 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 12.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.943 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 12.943 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 12.944 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log J))))) into 0 12.944 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.945 * [backup-simplify]: Simplify (+ (* (pow J -1/3) (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (* (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (pow (/ 1 J) 1/3))) 12.946 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.946 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.947 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 12.947 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.947 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.948 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 12.948 * [backup-simplify]: Simplify (- 0) into 0 12.948 * [backup-simplify]: Simplify (+ 0 0) into 0 12.949 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 12.950 * [backup-simplify]: Simplify (+ (* (* (cos (/ -1/2 K)) (cbrt -1)) (* 1/8 (* (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (pow (/ 1 J) 1/3)))) (+ (* 0 0) (* 0 (pow (/ 1 J) 1/3)))) into (* 1/8 (* (pow (/ 1 J) 1/3) (/ (cbrt -1) (* (cos (/ -1/2 K)) (pow U 2))))) 12.951 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (* (pow (/ 1 J) 1/3) (/ (cbrt -1) (* (cos (/ -1/2 K)) (pow U 2)))))) (+ (* 0 0) (* 0 (* (* (cos (/ -1/2 K)) (cbrt -1)) (pow (/ 1 J) 1/3))))) into (- (* 1/4 (* (/ (cbrt -1) (* (cos (/ -1/2 K)) (pow U 2))) (pow (/ 1 J) 1/3)))) 12.951 * [taylor]: Taking taylor expansion of (- (* 1/4 (* (/ (cbrt -1) (* (cos (/ -1/2 K)) (pow U 2))) (pow (/ 1 J) 1/3)))) in K 12.951 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (cbrt -1) (* (cos (/ -1/2 K)) (pow U 2))) (pow (/ 1 J) 1/3))) in K 12.951 * [taylor]: Taking taylor expansion of 1/4 in K 12.951 * [backup-simplify]: Simplify 1/4 into 1/4 12.951 * [taylor]: Taking taylor expansion of (* (/ (cbrt -1) (* (cos (/ -1/2 K)) (pow U 2))) (pow (/ 1 J) 1/3)) in K 12.951 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (* (cos (/ -1/2 K)) (pow U 2))) in K 12.951 * [taylor]: Taking taylor expansion of (cbrt -1) in K 12.951 * [taylor]: Taking taylor expansion of -1 in K 12.951 * [backup-simplify]: Simplify -1 into -1 12.952 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.952 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.952 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in K 12.952 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K 12.952 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K 12.952 * [taylor]: Taking taylor expansion of -1/2 in K 12.952 * [backup-simplify]: Simplify -1/2 into -1/2 12.952 * [taylor]: Taking taylor expansion of K in K 12.952 * [backup-simplify]: Simplify 0 into 0 12.952 * [backup-simplify]: Simplify 1 into 1 12.953 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 12.953 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.953 * [taylor]: Taking taylor expansion of (pow U 2) in K 12.953 * [taylor]: Taking taylor expansion of U in K 12.953 * [backup-simplify]: Simplify U into U 12.953 * [backup-simplify]: Simplify (* U U) into (pow U 2) 12.953 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow U 2)) into (* (cos (/ -1/2 K)) (pow U 2)) 12.953 * [backup-simplify]: Simplify (/ (cbrt -1) (* (cos (/ -1/2 K)) (pow U 2))) into (/ (cbrt -1) (* (cos (/ -1/2 K)) (pow U 2))) 12.953 * [taylor]: Taking taylor expansion of (pow (/ 1 J) 1/3) in K 12.953 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 J)))) in K 12.953 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 J))) in K 12.953 * [taylor]: Taking taylor expansion of 1/3 in K 12.953 * [backup-simplify]: Simplify 1/3 into 1/3 12.953 * [taylor]: Taking taylor expansion of (log (/ 1 J)) in K 12.953 * [taylor]: Taking taylor expansion of (/ 1 J) in K 12.953 * [taylor]: Taking taylor expansion of J in K 12.953 * [backup-simplify]: Simplify J into J 12.953 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J) 12.953 * [backup-simplify]: Simplify (log (/ 1 J)) into (log (/ 1 J)) 12.954 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 J))) into (* 1/3 (log (/ 1 J))) 12.954 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 J)))) into (pow (/ 1 J) 1/3) 12.954 * [backup-simplify]: Simplify (* (/ (cbrt -1) (* (cos (/ -1/2 K)) (pow U 2))) (pow (/ 1 J) 1/3)) into (* (pow (/ 1 J) 1/3) (/ (cbrt -1) (* (cos (/ -1/2 K)) (pow U 2)))) 12.955 * [backup-simplify]: Simplify (* 1/4 (* (pow (/ 1 J) 1/3) (/ (cbrt -1) (* (cos (/ -1/2 K)) (pow U 2))))) into (* 1/4 (* (pow (/ 1 J) 1/3) (/ (cbrt -1) (* (cos (/ -1/2 K)) (pow U 2))))) 12.955 * [backup-simplify]: Simplify (- (* 1/4 (* (pow (/ 1 J) 1/3) (/ (cbrt -1) (* (cos (/ -1/2 K)) (pow U 2)))))) into (- (* 1/4 (* (pow (/ 1 J) 1/3) (/ (cbrt -1) (* (cos (/ -1/2 K)) (pow U 2)))))) 12.955 * [taylor]: Taking taylor expansion of (- (* 1/4 (* (pow (/ 1 J) 1/3) (/ (cbrt -1) (* (cos (/ -1/2 K)) (pow U 2)))))) in U 12.955 * [taylor]: Taking taylor expansion of (* 1/4 (* (pow (/ 1 J) 1/3) (/ (cbrt -1) (* (cos (/ -1/2 K)) (pow U 2))))) in U 12.955 * [taylor]: Taking taylor expansion of 1/4 in U 12.955 * [backup-simplify]: Simplify 1/4 into 1/4 12.955 * [taylor]: Taking taylor expansion of (* (pow (/ 1 J) 1/3) (/ (cbrt -1) (* (cos (/ -1/2 K)) (pow U 2)))) in U 12.955 * [taylor]: Taking taylor expansion of (pow (/ 1 J) 1/3) in U 12.955 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 J)))) in U 12.955 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 J))) in U 12.955 * [taylor]: Taking taylor expansion of 1/3 in U 12.955 * [backup-simplify]: Simplify 1/3 into 1/3 12.955 * [taylor]: Taking taylor expansion of (log (/ 1 J)) in U 12.955 * [taylor]: Taking taylor expansion of (/ 1 J) in U 12.955 * [taylor]: Taking taylor expansion of J in U 12.955 * [backup-simplify]: Simplify J into J 12.955 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J) 12.955 * [backup-simplify]: Simplify (log (/ 1 J)) into (log (/ 1 J)) 12.956 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 J))) into (* 1/3 (log (/ 1 J))) 12.956 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 J)))) into (pow (/ 1 J) 1/3) 12.956 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (* (cos (/ -1/2 K)) (pow U 2))) in U 12.956 * [taylor]: Taking taylor expansion of (cbrt -1) in U 12.956 * [taylor]: Taking taylor expansion of -1 in U 12.956 * [backup-simplify]: Simplify -1 into -1 12.956 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 12.956 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 12.956 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in U 12.956 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U 12.956 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U 12.956 * [taylor]: Taking taylor expansion of -1/2 in U 12.956 * [backup-simplify]: Simplify -1/2 into -1/2 12.956 * [taylor]: Taking taylor expansion of K in U 12.957 * [backup-simplify]: Simplify K into K 12.957 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K) 12.957 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) 12.957 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) 12.957 * [taylor]: Taking taylor expansion of (pow U 2) in U 12.957 * [taylor]: Taking taylor expansion of U in U 12.957 * [backup-simplify]: Simplify 0 into 0 12.957 * [backup-simplify]: Simplify 1 into 1 12.957 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.957 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0 12.957 * [backup-simplify]: Simplify (- 0) into 0 12.957 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) 12.957 * [backup-simplify]: Simplify (* 1 1) into 1 12.957 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) 12.958 * [backup-simplify]: Simplify (/ (cbrt -1) (cos (/ -1/2 K))) into (/ (cbrt -1) (cos (/ -1/2 K))) 12.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.962 * [backup-simplify]: Simplify (+ 0) into 0 12.963 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.963 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.963 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.964 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.964 * [backup-simplify]: Simplify (- 0) into 0 12.964 * [backup-simplify]: Simplify (+ 0 0) into 0 12.964 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.965 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ (cbrt -1) (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 12.965 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 12.965 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 J) 1)))) 1) into 0 12.966 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 J)))) into 0 12.966 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 J)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.967 * [backup-simplify]: Simplify (+ (* (pow (/ 1 J) 1/3) 0) (* 0 (/ (cbrt -1) (cos (/ -1/2 K))))) into 0 12.967 * [backup-simplify]: Simplify (* (pow (/ 1 J) 1/3) (/ (cbrt -1) (cos (/ -1/2 K)))) into (* (/ (cbrt -1) (cos (/ -1/2 K))) (pow (/ 1 J) 1/3)) 12.968 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* (/ (cbrt -1) (cos (/ -1/2 K))) (pow (/ 1 J) 1/3)))) into 0 12.968 * [backup-simplify]: Simplify (- 0) into 0 12.968 * [backup-simplify]: Simplify 0 into 0 12.968 * [taylor]: Taking taylor expansion of 0 in U 12.968 * [backup-simplify]: Simplify 0 into 0 12.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 12.969 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 J) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 J) 1)))) 2) into 0 12.970 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 J))))) into 0 12.971 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.971 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 12.972 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 12.973 * [backup-simplify]: Simplify (+ (* (* (cos (/ -1/2 K)) (cbrt -1)) 0) (+ (* 0 0) (* 0 (pow (/ 1 J) 1/3)))) into 0 12.974 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (* (* (cos (/ -1/2 K)) (cbrt -1)) (pow (/ 1 J) 1/3))))) into 0 12.974 * [taylor]: Taking taylor expansion of 0 in U 12.974 * [backup-simplify]: Simplify 0 into 0 12.974 * [backup-simplify]: Simplify 0 into 0 12.974 * [backup-simplify]: Simplify 0 into 0 12.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 12.974 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 J) 1)))) 1) into 0 12.975 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 J)))) into 0 12.975 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 J)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.975 * [backup-simplify]: Simplify (+ 0) into 0 12.976 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.976 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.976 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.977 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.977 * [backup-simplify]: Simplify (- 0) into 0 12.977 * [backup-simplify]: Simplify (+ 0 0) into 0 12.977 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cbrt -1))) into 0 12.978 * [backup-simplify]: Simplify (+ (* (* (cos (/ -1/2 K)) (cbrt -1)) 0) (* 0 (pow (/ 1 J) 1/3))) into 0 12.979 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (* (* (cos (/ -1/2 K)) (cbrt -1)) (pow (/ 1 J) 1/3)))) into 0 12.979 * [backup-simplify]: Simplify 0 into 0 12.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.979 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.979 * [backup-simplify]: Simplify (+ 0) into 0 12.980 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 12.980 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 12.980 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.980 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 12.981 * [backup-simplify]: Simplify (- 0) into 0 12.981 * [backup-simplify]: Simplify (+ 0 0) into 0 12.981 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0 12.981 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0 12.981 * [backup-simplify]: Simplify (- (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (+ (* (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (/ 0 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into 0 12.982 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0 12.982 * [backup-simplify]: Simplify (+ 0 0) into 0 12.982 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (* 2 1)) into 0 12.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.986 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 12.986 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 12.987 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J)))))) into 0 12.988 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.989 * [backup-simplify]: Simplify (+ (* (pow J -1/3) 0) (+ (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1)))) into 0 12.990 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 12.990 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 12.991 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.991 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.992 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 12.992 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 12.992 * [backup-simplify]: Simplify (- 0) into 0 12.992 * [backup-simplify]: Simplify (+ 0 0) into 0 12.993 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 12.994 * [backup-simplify]: Simplify (+ (* (* (cos (/ -1/2 K)) (cbrt -1)) 0) (+ (* 0 (* 1/8 (* (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) (pow (/ 1 J) 1/3)))) (+ (* 0 0) (* 0 (pow (/ 1 J) 1/3))))) into 0 12.995 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (* (pow (/ 1 J) 1/3) (/ (cbrt -1) (* (cos (/ -1/2 K)) (pow U 2)))))) (+ (* 0 0) (* 0 (* (* (cos (/ -1/2 K)) (cbrt -1)) (pow (/ 1 J) 1/3)))))) into 0 12.995 * [taylor]: Taking taylor expansion of 0 in K 12.995 * [backup-simplify]: Simplify 0 into 0 12.995 * [taylor]: Taking taylor expansion of 0 in U 12.996 * [backup-simplify]: Simplify 0 into 0 12.996 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 12.996 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 J) 1)))) 1) into 0 12.996 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 J)))) into 0 12.997 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 J)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.997 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0 12.997 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow U 2))) into 0 12.998 * [backup-simplify]: Simplify (- (/ 0 (* (cos (/ -1/2 K)) (pow U 2))) (+ (* (/ (cbrt -1) (* (cos (/ -1/2 K)) (pow U 2))) (/ 0 (* (cos (/ -1/2 K)) (pow U 2)))))) into 0 12.998 * [backup-simplify]: Simplify (+ (* (/ (cbrt -1) (* (cos (/ -1/2 K)) (pow U 2))) 0) (* 0 (pow (/ 1 J) 1/3))) into 0 12.999 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* (pow (/ 1 J) 1/3) (/ (cbrt -1) (* (cos (/ -1/2 K)) (pow U 2)))))) into 0 12.999 * [backup-simplify]: Simplify (- 0) into 0 12.999 * [taylor]: Taking taylor expansion of 0 in U 12.999 * [backup-simplify]: Simplify 0 into 0 12.999 * [taylor]: Taking taylor expansion of 0 in U 12.999 * [backup-simplify]: Simplify 0 into 0 12.999 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)) (* 0 (/ 0 J)))) into 0 13.001 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 J) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 J) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 J) 1)))) 6) into 0 13.002 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 J)))))) into 0 13.003 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 J)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.003 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 13.004 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 13.005 * [backup-simplify]: Simplify (+ (* (* (cos (/ -1/2 K)) (cbrt -1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 J) 1/3))))) into 0 13.006 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (* (cos (/ -1/2 K)) (cbrt -1)) (pow (/ 1 J) 1/3)))))) into 0 13.006 * [taylor]: Taking taylor expansion of 0 in U 13.006 * [backup-simplify]: Simplify 0 into 0 13.007 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 13.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.008 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.008 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.008 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.009 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.009 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 13.010 * [backup-simplify]: Simplify (- 0) into 0 13.010 * [backup-simplify]: Simplify (+ 0 0) into 0 13.010 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 13.011 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ (cbrt -1) (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 13.011 * [backup-simplify]: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 13.012 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 J) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 J) 1)))) 2) into 0 13.012 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 J))))) into 0 13.013 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.014 * [backup-simplify]: Simplify (+ (* (pow (/ 1 J) 1/3) 0) (+ (* 0 0) (* 0 (/ (cbrt -1) (cos (/ -1/2 K)))))) into 0 13.015 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (* (/ (cbrt -1) (cos (/ -1/2 K))) (pow (/ 1 J) 1/3))))) into 0 13.015 * [backup-simplify]: Simplify (- 0) into 0 13.015 * [backup-simplify]: Simplify 0 into 0 13.015 * [backup-simplify]: Simplify 0 into 0 13.015 * [backup-simplify]: Simplify (* -2 (* (* (cos (/ -1/2 (/ 1 (- K)))) (cbrt -1)) (pow (/ 1 (/ 1 (- J))) 1/3))) into (* -2 (* (* (cos (* 1/2 K)) (cbrt -1)) (pow (* J -1) 1/3))) 13.016 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 13.016 * [backup-simplify]: Simplify (cbrt J) into (pow J 1/3) 13.016 * [approximate]: Taking taylor expansion of (pow J 1/3) in (J) around 0 13.016 * [taylor]: Taking taylor expansion of (pow J 1/3) in J 13.016 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log J))) in J 13.016 * [taylor]: Taking taylor expansion of (* 1/3 (log J)) in J 13.016 * [taylor]: Taking taylor expansion of 1/3 in J 13.016 * [backup-simplify]: Simplify 1/3 into 1/3 13.016 * [taylor]: Taking taylor expansion of (log J) in J 13.016 * [taylor]: Taking taylor expansion of J in J 13.016 * [backup-simplify]: Simplify 0 into 0 13.016 * [backup-simplify]: Simplify 1 into 1 13.016 * [backup-simplify]: Simplify (log 1) into 0 13.016 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 13.016 * [backup-simplify]: Simplify (* 1/3 (log J)) into (* 1/3 (log J)) 13.016 * [backup-simplify]: Simplify (exp (* 1/3 (log J))) into (pow J 1/3) 13.016 * [taylor]: Taking taylor expansion of (pow J 1/3) in J 13.016 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log J))) in J 13.016 * [taylor]: Taking taylor expansion of (* 1/3 (log J)) in J 13.016 * [taylor]: Taking taylor expansion of 1/3 in J 13.016 * [backup-simplify]: Simplify 1/3 into 1/3 13.017 * [taylor]: Taking taylor expansion of (log J) in J 13.017 * [taylor]: Taking taylor expansion of J in J 13.017 * [backup-simplify]: Simplify 0 into 0 13.017 * [backup-simplify]: Simplify 1 into 1 13.017 * [backup-simplify]: Simplify (log 1) into 0 13.017 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 13.017 * [backup-simplify]: Simplify (* 1/3 (log J)) into (* 1/3 (log J)) 13.017 * [backup-simplify]: Simplify (exp (* 1/3 (log J))) into (pow J 1/3) 13.017 * [backup-simplify]: Simplify (pow J 1/3) into (pow J 1/3) 13.018 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 13.018 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 13.019 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log J))) into 0 13.019 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 13.019 * [backup-simplify]: Simplify 0 into 0 13.021 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 13.021 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 13.021 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log J)))) into 0 13.022 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.022 * [backup-simplify]: Simplify 0 into 0 13.025 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 13.025 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 13.026 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log J))))) into 0 13.027 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.027 * [backup-simplify]: Simplify 0 into 0 13.035 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 13.035 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 13.037 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log J)))))) into 0 13.039 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.039 * [backup-simplify]: Simplify 0 into 0 13.052 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 13.053 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 13.060 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log J))))))) into 0 13.063 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.063 * [backup-simplify]: Simplify 0 into 0 13.090 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 13.091 * [backup-simplify]: Simplify (+ (* (- -1) (log J)) 0) into (log J) 13.093 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log J)))))))) into 0 13.098 * [backup-simplify]: Simplify (* (exp (* 1/3 (log J))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.098 * [backup-simplify]: Simplify 0 into 0 13.098 * [backup-simplify]: Simplify (pow J 1/3) into (pow J 1/3) 13.098 * [backup-simplify]: Simplify (cbrt (/ 1 J)) into (pow (/ 1 J) 1/3) 13.099 * [approximate]: Taking taylor expansion of (pow (/ 1 J) 1/3) in (J) around 0 13.099 * [taylor]: Taking taylor expansion of (pow (/ 1 J) 1/3) in J 13.099 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 J)))) in J 13.099 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 J))) in J 13.099 * [taylor]: Taking taylor expansion of 1/3 in J 13.099 * [backup-simplify]: Simplify 1/3 into 1/3 13.099 * [taylor]: Taking taylor expansion of (log (/ 1 J)) in J 13.099 * [taylor]: Taking taylor expansion of (/ 1 J) in J 13.099 * [taylor]: Taking taylor expansion of J in J 13.099 * [backup-simplify]: Simplify 0 into 0 13.099 * [backup-simplify]: Simplify 1 into 1 13.099 * [backup-simplify]: Simplify (/ 1 1) into 1 13.099 * [backup-simplify]: Simplify (log 1) into 0 13.100 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 13.100 * [backup-simplify]: Simplify (* 1/3 (- (log J))) into (* -1/3 (log J)) 13.100 * [backup-simplify]: Simplify (exp (* -1/3 (log J))) into (pow J -1/3) 13.100 * [taylor]: Taking taylor expansion of (pow (/ 1 J) 1/3) in J 13.100 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 J)))) in J 13.100 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 J))) in J 13.100 * [taylor]: Taking taylor expansion of 1/3 in J 13.100 * [backup-simplify]: Simplify 1/3 into 1/3 13.100 * [taylor]: Taking taylor expansion of (log (/ 1 J)) in J 13.100 * [taylor]: Taking taylor expansion of (/ 1 J) in J 13.100 * [taylor]: Taking taylor expansion of J in J 13.100 * [backup-simplify]: Simplify 0 into 0 13.100 * [backup-simplify]: Simplify 1 into 1 13.100 * [backup-simplify]: Simplify (/ 1 1) into 1 13.100 * [backup-simplify]: Simplify (log 1) into 0 13.101 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 13.101 * [backup-simplify]: Simplify (* 1/3 (- (log J))) into (* -1/3 (log J)) 13.101 * [backup-simplify]: Simplify (exp (* -1/3 (log J))) into (pow J -1/3) 13.101 * [backup-simplify]: Simplify (pow J -1/3) into (pow J -1/3) 13.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.102 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 13.102 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 13.103 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log J)))) into 0 13.103 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 13.103 * [backup-simplify]: Simplify 0 into 0 13.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.106 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 13.107 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 13.107 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log J))))) into 0 13.109 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.109 * [backup-simplify]: Simplify 0 into 0 13.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.114 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 13.114 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 13.115 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J)))))) into 0 13.116 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.116 * [backup-simplify]: Simplify 0 into 0 13.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.122 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 13.122 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 13.123 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J))))))) into 0 13.125 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.125 * [backup-simplify]: Simplify 0 into 0 13.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.135 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 13.136 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 13.137 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J)))))))) into 0 13.139 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.139 * [backup-simplify]: Simplify 0 into 0 13.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.174 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 13.175 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 13.178 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J))))))))) into 0 13.183 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.183 * [backup-simplify]: Simplify 0 into 0 13.183 * [backup-simplify]: Simplify (pow (/ 1 J) -1/3) into (pow (/ 1 J) -1/3) 13.184 * [backup-simplify]: Simplify (cbrt (/ 1 (- J))) into (* (pow (/ 1 J) 1/3) (cbrt -1)) 13.184 * [approximate]: Taking taylor expansion of (* (pow (/ 1 J) 1/3) (cbrt -1)) in (J) around 0 13.184 * [taylor]: Taking taylor expansion of (* (pow (/ 1 J) 1/3) (cbrt -1)) in J 13.184 * [taylor]: Taking taylor expansion of (pow (/ 1 J) 1/3) in J 13.184 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 J)))) in J 13.184 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 J))) in J 13.184 * [taylor]: Taking taylor expansion of 1/3 in J 13.184 * [backup-simplify]: Simplify 1/3 into 1/3 13.184 * [taylor]: Taking taylor expansion of (log (/ 1 J)) in J 13.184 * [taylor]: Taking taylor expansion of (/ 1 J) in J 13.184 * [taylor]: Taking taylor expansion of J in J 13.184 * [backup-simplify]: Simplify 0 into 0 13.184 * [backup-simplify]: Simplify 1 into 1 13.184 * [backup-simplify]: Simplify (/ 1 1) into 1 13.185 * [backup-simplify]: Simplify (log 1) into 0 13.185 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 13.185 * [backup-simplify]: Simplify (* 1/3 (- (log J))) into (* -1/3 (log J)) 13.185 * [backup-simplify]: Simplify (exp (* -1/3 (log J))) into (pow J -1/3) 13.185 * [taylor]: Taking taylor expansion of (cbrt -1) in J 13.185 * [taylor]: Taking taylor expansion of -1 in J 13.185 * [backup-simplify]: Simplify -1 into -1 13.186 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 13.187 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 13.187 * [taylor]: Taking taylor expansion of (* (pow (/ 1 J) 1/3) (cbrt -1)) in J 13.187 * [taylor]: Taking taylor expansion of (pow (/ 1 J) 1/3) in J 13.187 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 J)))) in J 13.187 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 J))) in J 13.187 * [taylor]: Taking taylor expansion of 1/3 in J 13.187 * [backup-simplify]: Simplify 1/3 into 1/3 13.187 * [taylor]: Taking taylor expansion of (log (/ 1 J)) in J 13.187 * [taylor]: Taking taylor expansion of (/ 1 J) in J 13.187 * [taylor]: Taking taylor expansion of J in J 13.187 * [backup-simplify]: Simplify 0 into 0 13.187 * [backup-simplify]: Simplify 1 into 1 13.187 * [backup-simplify]: Simplify (/ 1 1) into 1 13.188 * [backup-simplify]: Simplify (log 1) into 0 13.188 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 13.188 * [backup-simplify]: Simplify (* 1/3 (- (log J))) into (* -1/3 (log J)) 13.188 * [backup-simplify]: Simplify (exp (* -1/3 (log J))) into (pow J -1/3) 13.188 * [taylor]: Taking taylor expansion of (cbrt -1) in J 13.188 * [taylor]: Taking taylor expansion of -1 in J 13.188 * [backup-simplify]: Simplify -1 into -1 13.189 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 13.189 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 13.190 * [backup-simplify]: Simplify (* (pow J -1/3) (cbrt -1)) into (* (pow (/ 1 J) 1/3) (cbrt -1)) 13.190 * [backup-simplify]: Simplify (* (pow (/ 1 J) 1/3) (cbrt -1)) into (* (pow (/ 1 J) 1/3) (cbrt -1)) 13.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.192 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 13.193 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 13.193 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log J)))) into 0 13.194 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 13.195 * [backup-simplify]: Simplify (+ (* (pow J -1/3) 0) (* 0 (cbrt -1))) into 0 13.195 * [backup-simplify]: Simplify 0 into 0 13.196 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 13.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.200 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 13.200 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 13.201 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log J))))) into 0 13.202 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.203 * [backup-simplify]: Simplify (+ (* (pow J -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 13.203 * [backup-simplify]: Simplify 0 into 0 13.204 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 13.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.209 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 13.210 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 13.211 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J)))))) into 0 13.212 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.213 * [backup-simplify]: Simplify (+ (* (pow J -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 13.213 * [backup-simplify]: Simplify 0 into 0 13.215 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 13.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.222 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 13.222 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 13.223 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J))))))) into 0 13.225 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.225 * [backup-simplify]: Simplify (+ (* (pow J -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 13.225 * [backup-simplify]: Simplify 0 into 0 13.226 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 13.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.239 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 13.240 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 13.241 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J)))))))) into 0 13.245 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.247 * [backup-simplify]: Simplify (+ (* (pow J -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 13.247 * [backup-simplify]: Simplify 0 into 0 13.248 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 13.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.268 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 13.269 * [backup-simplify]: Simplify (+ (* (- 1) (log J)) 0) into (- (log J)) 13.270 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log J))))))))) into 0 13.273 * [backup-simplify]: Simplify (* (exp (* -1/3 (log J))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.274 * [backup-simplify]: Simplify (+ (* (pow J -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 13.274 * [backup-simplify]: Simplify 0 into 0 13.275 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- J))) 1/3) (cbrt -1)) into (* (pow (* J -1) 1/3) (cbrt -1)) 13.275 * * * [progress]: simplifying candidates 13.275 * * * * [progress]: [ 1 / 104 ] simplifiying candidate # 13.275 * * * * [progress]: [ 2 / 104 ] simplifiying candidate # 13.275 * * * * [progress]: [ 3 / 104 ] simplifiying candidate # 13.275 * * * * [progress]: [ 4 / 104 ] simplifiying candidate # 13.275 * * * * [progress]: [ 5 / 104 ] simplifiying candidate # 13.275 * * * * [progress]: [ 6 / 104 ] simplifiying candidate # 13.275 * * * * [progress]: [ 7 / 104 ] simplifiying candidate # 13.275 * * * * [progress]: [ 8 / 104 ] simplifiying candidate # 13.275 * * * * [progress]: [ 9 / 104 ] simplifiying candidate # 13.275 * * * * [progress]: [ 10 / 104 ] simplifiying candidate # 13.275 * * * * [progress]: [ 11 / 104 ] simplifiying candidate # 13.275 * * * * [progress]: [ 12 / 104 ] simplifiying candidate # 13.275 * * * * [progress]: [ 13 / 104 ] simplifiying candidate # 13.275 * * * * [progress]: [ 14 / 104 ] simplifiying candidate # 13.275 * * * * [progress]: [ 15 / 104 ] simplifiying candidate # 13.276 * * * * [progress]: [ 16 / 104 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))))> 13.276 * * * * [progress]: [ 17 / 104 ] simplifiying candidate # 13.276 * * * * [progress]: [ 18 / 104 ] simplifiying candidate # 13.276 * * * * [progress]: [ 19 / 104 ] simplifiying candidate # 13.276 * * * * [progress]: [ 20 / 104 ] simplifiying candidate # 13.276 * * * * [progress]: [ 21 / 104 ] simplifiying candidate # 13.276 * * * * [progress]: [ 22 / 104 ] simplifiying candidate # 13.276 * * * * [progress]: [ 23 / 104 ] simplifiying candidate # 13.276 * * * * [progress]: [ 24 / 104 ] simplifiying candidate # 13.276 * * * * [progress]: [ 25 / 104 ] simplifiying candidate # 13.276 * * * * [progress]: [ 26 / 104 ] simplifiying candidate # 13.276 * * * * [progress]: [ 27 / 104 ] simplifiying candidate # 13.276 * * * * [progress]: [ 28 / 104 ] simplifiying candidate # 13.276 * * * * [progress]: [ 29 / 104 ] simplifiying candidate # 13.276 * * * * [progress]: [ 30 / 104 ] simplifiying candidate # 13.276 * * * * [progress]: [ 31 / 104 ] simplifiying candidate # 13.276 * * * * [progress]: [ 32 / 104 ] simplifiying candidate # 13.276 * * * * [progress]: [ 33 / 104 ] simplifiying candidate # 13.276 * * * * [progress]: [ 34 / 104 ] simplifiying candidate # 13.276 * * * * [progress]: [ 35 / 104 ] simplifiying candidate # 13.276 * * * * [progress]: [ 36 / 104 ] simplifiying candidate # 13.277 * * * * [progress]: [ 37 / 104 ] simplifiying candidate # 13.277 * * * * [progress]: [ 38 / 104 ] simplifiying candidate # 13.277 * * * * [progress]: [ 39 / 104 ] simplifiying candidate # 13.277 * * * * [progress]: [ 40 / 104 ] simplifiying candidate # 13.277 * * * * [progress]: [ 41 / 104 ] simplifiying candidate # 13.277 * * * * [progress]: [ 42 / 104 ] simplifiying candidate # 13.277 * * * * [progress]: [ 43 / 104 ] simplifiying candidate # 13.277 * * * * [progress]: [ 44 / 104 ] simplifiying candidate # 13.277 * * * * [progress]: [ 45 / 104 ] simplifiying candidate # 13.277 * * * * [progress]: [ 46 / 104 ] simplifiying candidate # 13.277 * * * * [progress]: [ 47 / 104 ] simplifiying candidate # 13.277 * * * * [progress]: [ 48 / 104 ] simplifiying candidate # 13.277 * * * * [progress]: [ 49 / 104 ] simplifiying candidate # 13.277 * * * * [progress]: [ 50 / 104 ] simplifiying candidate # 13.277 * * * * [progress]: [ 51 / 104 ] simplifiying candidate # 13.277 * * * * [progress]: [ 52 / 104 ] simplifiying candidate #real (real->posit16 (* (* (cbrt J) (cbrt J)) (* (cbrt J) (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))))> 13.277 * * * * [progress]: [ 53 / 104 ] simplifiying candidate # 13.277 * * * * [progress]: [ 54 / 104 ] simplifiying candidate # 13.277 * * * * [progress]: [ 55 / 104 ] simplifiying candidate # 13.277 * * * * [progress]: [ 56 / 104 ] simplifiying candidate # 13.277 * * * * [progress]: [ 57 / 104 ] simplifiying candidate # 13.278 * * * * [progress]: [ 58 / 104 ] simplifiying candidate # 13.278 * * * * [progress]: [ 59 / 104 ] simplifiying candidate # 13.278 * * * * [progress]: [ 60 / 104 ] simplifiying candidate # 13.278 * * * * [progress]: [ 61 / 104 ] simplifiying candidate # 13.278 * * * * [progress]: [ 62 / 104 ] simplifiying candidate # 13.278 * * * * [progress]: [ 63 / 104 ] simplifiying candidate # 13.278 * * * * [progress]: [ 64 / 104 ] simplifiying candidate # 13.278 * * * * [progress]: [ 65 / 104 ] simplifiying candidate # 13.278 * * * * [progress]: [ 66 / 104 ] simplifiying candidate # 13.278 * * * * [progress]: [ 67 / 104 ] simplifiying candidate # 13.278 * * * * [progress]: [ 68 / 104 ] simplifiying candidate # 13.278 * * * * [progress]: [ 69 / 104 ] simplifiying candidate # 13.278 * * * * [progress]: [ 70 / 104 ] simplifiying candidate # 13.278 * * * * [progress]: [ 71 / 104 ] simplifiying candidate # 13.278 * * * * [progress]: [ 72 / 104 ] simplifiying candidate # 13.278 * * * * [progress]: [ 73 / 104 ] simplifiying candidate # 13.278 * * * * [progress]: [ 74 / 104 ] simplifiying candidate # 13.278 * * * * [progress]: [ 75 / 104 ] simplifiying candidate # 13.278 * * * * [progress]: [ 76 / 104 ] simplifiying candidate # 13.278 * * * * [progress]: [ 77 / 104 ] simplifiying candidate # 13.278 * * * * [progress]: [ 78 / 104 ] simplifiying candidate # 13.278 * * * * [progress]: [ 79 / 104 ] simplifiying candidate #real (real->posit16 (* (cbrt J) (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))))> 13.279 * * * * [progress]: [ 80 / 104 ] simplifiying candidate # 13.279 * * * * [progress]: [ 81 / 104 ] simplifiying candidate # 13.279 * * * * [progress]: [ 82 / 104 ] simplifiying candidate # 13.279 * * * * [progress]: [ 83 / 104 ] simplifiying candidate # 13.279 * * * * [progress]: [ 84 / 104 ] simplifiying candidate # 13.279 * * * * [progress]: [ 85 / 104 ] simplifiying candidate # 13.279 * * * * [progress]: [ 86 / 104 ] simplifiying candidate # 13.279 * * * * [progress]: [ 87 / 104 ] simplifiying candidate # 13.279 * * * * [progress]: [ 88 / 104 ] simplifiying candidate # 13.279 * * * * [progress]: [ 89 / 104 ] simplifiying candidate # 13.279 * * * * [progress]: [ 90 / 104 ] simplifiying candidate # 13.279 * * * * [progress]: [ 91 / 104 ] simplifiying candidate # 13.279 * * * * [progress]: [ 92 / 104 ] simplifiying candidate #real (real->posit16 (cbrt J))) (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))))> 13.279 * * * * [progress]: [ 93 / 104 ] simplifiying candidate # 13.279 * * * * [progress]: [ 94 / 104 ] simplifiying candidate # 13.279 * * * * [progress]: [ 95 / 104 ] simplifiying candidate # 13.279 * * * * [progress]: [ 96 / 104 ] simplifiying candidate # 13.279 * * * * [progress]: [ 97 / 104 ] simplifiying candidate # 13.279 * * * * [progress]: [ 98 / 104 ] simplifiying candidate # 13.279 * * * * [progress]: [ 99 / 104 ] simplifiying candidate # 13.279 * * * * [progress]: [ 100 / 104 ] simplifiying candidate # 13.279 * * * * [progress]: [ 101 / 104 ] simplifiying candidate # 13.279 * * * * [progress]: [ 102 / 104 ] simplifiying candidate # 13.279 * * * * [progress]: [ 103 / 104 ] simplifiying candidate # 13.279 * * * * [progress]: [ 104 / 104 ] simplifiying candidate # 13.285 * [simplify]: Simplifying: (log (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (exp (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (* (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (cbrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (* (* (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (* (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (cbrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt 1) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (sqrt (+ (pow (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 3) (pow 1 3))) (sqrt (+ (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (- (* 1 1) (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)))) (sqrt (- (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (* 1 1))) (sqrt (- (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1)) (/ 1 2) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (sqrt (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (real->posit16 (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))) (* (* (cbrt J) (cbrt J)) (* (cbrt J) (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (* (* (cbrt J) (cbrt J)) (* (cbrt J) (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (* (* (cbrt J) (cbrt J)) (* (cbrt J) (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (* (* (cbrt J) (cbrt J)) (* (cbrt J) (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (* (* (cbrt J) (cbrt J)) (* (cbrt J) (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) 1))))) (* (* (cbrt J) (cbrt J)) (* (cbrt J) (* (* -2 (cos (/ K 2))) (sqrt (+ (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 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(+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (cos (/ K 2)) -2))) (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (* (cos (/ K 2)) -2)))) (* J (* J (* (* (* (* J (* (cos (/ K 2)) -2)) (* (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1) (* (cos (/ K 2)) -2))) (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (* (cos (/ K 2)) -2)))) (* (* (* (* (* (* (* -2 (cbrt J)) (cos (/ K 2))) (* (* -2 (cbrt J)) (cos (/ K 2)))) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)) (* (* -2 (cbrt J)) (cos (/ K 2)))) (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (* J J)) (* (* (* J -8) (* (cos (/ K 2)) (* (cos (/ K 2)) (cos (/ K 2))))) (* (* (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)) (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1)) (* J J))) (* J (* J (* (* (* (* 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U (cos (/ K 2))) (* 2 J))) (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J)))) 1))) (cbrt J))) (real->posit16 (* (* (cbrt J) (sqrt (+ (* (/ (/ U (cos (/ K 2))) (* 2 J)) (/ (/ U (cos (/ K 2))) (* 2 J))) 1))) (* (cos (/ K 2)) -2))) (* 1/3 (log J)) (exp (cbrt J)) (cbrt (* (cbrt J) (cbrt J))) (cbrt (cbrt J)) (cbrt (sqrt J)) (cbrt (sqrt J)) 1 (cbrt J) (* (cbrt (cbrt J)) (cbrt (cbrt J))) (cbrt (cbrt J)) J (sqrt (cbrt J)) (sqrt (cbrt J)) (real->posit16 (cbrt J)) 1 (* (/ 1/2 J) (/ U (cos (* 1/2 K)))) (* (/ 1/2 J) (/ U (cos (* 1/2 K)))) 0 (* (cos (* 1/2 K)) (* J -2)) (* (cos (* 1/2 K)) (* J -2)) (* (- U) (cbrt (/ 1 (* J J)))) (* (* -2 (cbrt J)) (cos (* 1/2 K))) (* (* -2 (cbrt (- J))) (* (cos (* 1/2 K)) (cbrt -1))) (cbrt J) (pow (/ 1 J) -1/3) (* (cbrt -1) (cbrt (- J))) 14.626 * * * [progress]: adding candidates to table 15.115 * [progress]: [Phase 3 of 3] Extracting. 15.115 * * [regime]: Finding splitpoints for: (# #real (real->posit16 (/ U (* (cos (/ K 2)) (* 2 J)))))) 1)))))> # # # # #real (real->posit16 (/ U (* (cos (/ K 2)) (* 2 J)))))) 1))))> # # # #) 15.121 * * * [regime-changes]: Trying 5 branch expressions: ((/ K 2) (cos (/ K 2)) U K J) 15.121 * * * * [regimes]: Trying to branch on (/ K 2) from (# #real (real->posit16 (/ U (* (cos (/ K 2)) (* 2 J)))))) 1)))))> # # # # #real (real->posit16 (/ U (* (cos (/ K 2)) (* 2 J)))))) 1))))> # # # #) 15.226 * * * * [regimes]: Trying to branch on (cos (/ K 2)) from (# #real (real->posit16 (/ U (* (cos (/ K 2)) (* 2 J)))))) 1)))))> # # # # #real (real->posit16 (/ U (* (cos (/ K 2)) (* 2 J)))))) 1))))> # # # #) 15.333 * * * * [regimes]: Trying to branch on U from (# #real (real->posit16 (/ U (* (cos (/ K 2)) (* 2 J)))))) 1)))))> # # # # #real (real->posit16 (/ U (* (cos (/ K 2)) (* 2 J)))))) 1))))> # # # #) 15.409 * * * * [regimes]: Trying to branch on K from (# #real (real->posit16 (/ U (* (cos (/ K 2)) (* 2 J)))))) 1)))))> # # # # #real (real->posit16 (/ U (* (cos (/ K 2)) (* 2 J)))))) 1))))> # # # #) 15.523 * * * * [regimes]: Trying to branch on J from (# #real (real->posit16 (/ U (* (cos (/ K 2)) (* 2 J)))))) 1)))))> # # # # #real (real->posit16 (/ U (* (cos (/ K 2)) (* 2 J)))))) 1))))> # # # #) 15.647 * * * [regime]: Found split indices: #