* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (391 enodes) * [exit]simplify: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 J) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (* 2 J) 1) into (* 2 J) * [misc]backup-simplify: Simplify (/ U (* 2 J)) into (* 1/2 (/ U J)) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U J))) into (log (* 1/2 (/ U J))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ U J)))) into (* 2 (log (* 1/2 (/ U J)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ U J))))) into (pow (* 1/2 (/ U J)) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ U J)) 2)) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ U J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ U J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ U J))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 J) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* 0 (cos (* 1/2 K))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U (cos (* 1/2 K))))) into (log (* 1/2 (/ U (cos (* 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) into (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) into (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ U (cos (* 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (* 1/2 K)) J))) into (log (/ 1/2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) into (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (* 1/2 K)) J))) into (log (/ 1/2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) into (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) in J * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (* (cos (* 1/2 K)) J))) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (* 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 1/2 K) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 K)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (* 1/2 K))) into (/ 1/2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (* 1/2 K)))) into (log (/ 1/2 (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (/ 1/2 (cos (* 1/2 K))))) into (- (log (/ 1/2 (cos (* 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (log U) (- (log (/ 1/2 (cos (* 1/2 K)))) (log J))) into (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) into (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) into (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (* 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)) in K * [misc]taylor: Taking taylor expansion of (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (* 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (* 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (+ (log U) (log 1/2)) into (+ (log U) (log 1/2)) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log U) (log 1/2)) (- (log J))) into (- (+ (log U) (log 1/2)) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log U) (log 1/2)) (log J))) into (* 2 (- (+ (log U) (log 1/2)) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) into (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) into (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) into (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log U) (log 1/2)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) into (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (* 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (* 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) into (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ 1/2 K)) U)))) into (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2)) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) * [misc]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)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ 1/2 K)) U))) into (log (/ 1/2 (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))))) into (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) into (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (/ 1/2 K)))) (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 0 (* 2 (cos (/ 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ 1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) in J * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) in J * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ J (cos (/ 1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) in K * [misc]taylor: Taking taylor expansion of (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (/ 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) into (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))) (* 0 (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (/ 1/2 (/ 1 K)))))) (log (/ 1 U))))) 1)) into (sqrt (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))))) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2)) into (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ -1/2 K)) U))) into (log (/ 1/2 (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) into (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) into (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (cos (/ -1/2 K)))) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* -2 (cos (/ -1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ -1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) in J * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) in J * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ J (cos (/ -1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in J * [misc]taylor: Taking taylor expansion of -1/2 in J * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ -1/2 K) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ -1/2 K))))) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) into (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) in K * [misc]taylor: Taking taylor expansion of (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (/ -1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in K * [misc]taylor: Taking taylor expansion of -1/2 in K * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) into (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ -1 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))) (* 0 (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- J)))) (log (/ 1 (- U)))))) 1)) into (sqrt (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of (* (* -2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* -2 J) in U * [misc]taylor: Taking taylor expansion of -2 in U * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (* 1/2 K)) J))) into (log (/ 1/2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) into (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* (* -2 J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (* -2 J) in K * [misc]taylor: Taking taylor expansion of -2 in K * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 J) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (* 2 J) 1) into (* 2 J) * [misc]backup-simplify: Simplify (/ U (* 2 J)) into (* 1/2 (/ U J)) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U J))) into (log (* 1/2 (/ U J))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ U J)))) into (* 2 (log (* 1/2 (/ U J)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ U J))))) into (pow (* 1/2 (/ U J)) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ U J)) 2)) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ U J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ U J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ U J))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of (* (* -2 J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (* -2 J) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 J) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* 0 (cos (* 1/2 K))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U (cos (* 1/2 K))))) into (log (* 1/2 (/ U (cos (* 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) into (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) into (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ U (cos (* 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of (* (* -2 J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (* -2 J) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 J) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* 0 (cos (* 1/2 K))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U (cos (* 1/2 K))))) into (log (* 1/2 (/ U (cos (* 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) into (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) into (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ U (cos (* 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* -2 0) into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* 0 (cos (* 1/2 K))) into 0 * [misc]backup-simplify: Simplify (* 0 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 1) (* 0 0)) into -2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -2 (cos (* 1/2 K)))) into (- (* 2 (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* 0 0) (* (- (* 2 (cos (* 1/2 K)))) (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))))) into (- (* 2 (* (cos (* 1/2 K)) (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1))))) * [misc]taylor: Taking taylor expansion of (- (* 2 (* (cos (* 1/2 K)) (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 K)) (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1))) in K * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ U (cos (* 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (/ U (cos (* 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ U (cos (* 1/2 K))) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (/ U 1) into U * [misc]backup-simplify: Simplify (* 1/2 U) into (* 1/2 U) * [misc]backup-simplify: Simplify (log (* 1/2 U)) into (log (* 1/2 U)) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (log (* 1/2 U)) (- (log J))) into (- (log (* 1/2 U)) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 U)) (log J))) into (* 2 (- (log (* 1/2 U)) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 U)) (log J)))) into (exp (* 2 (- (log (* 1/2 U)) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1) into (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J)))))) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J)))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* U (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 U)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 U) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 U)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 U)) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (* 1 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J))))))) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J)))))) * [misc]backup-simplify: Simplify (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J))))))) into (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J))))))) * [misc]backup-simplify: Simplify (- (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J)))))))) into (- (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J)))))))) * [misc]taylor: Taking taylor expansion of (- (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J)))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J))))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J)))))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J))))) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 U)) (log J)))) in U * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 U)) (log J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 U)) (log J)) in U * [misc]taylor: Taking taylor expansion of (log (* 1/2 U)) in U * [misc]taylor: Taking taylor expansion of (* 1/2 U) in U * [misc]taylor: Taking taylor expansion of 1/2 in U * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log 1/2)) into (+ (log U) (log 1/2)) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log U) (log 1/2)) (- (log J))) into (- (+ (log U) (log 1/2)) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log U) (log 1/2)) (log J))) into (* 2 (- (+ (log U) (log 1/2)) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) into (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) into (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) into (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log U) (log 1/2)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* 2 (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))))) into (* 2 (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1))) * [misc]backup-simplify: Simplify (- (* 2 (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)))) into (- (* 2 (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))))) * [misc]backup-simplify: Simplify (- (* 2 (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))))) into (- (* 2 (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)))) * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))) (* 0 (/ 0 (* 2 (cos (* 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ U (cos (* 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ U (cos (* 1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -2 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (- (* 2 (cos (* 1/2 K)))) 0) (* 0 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- (* 2 (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)))) (* 1 (* 1 J))) into (* -2 (* (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) J)) * [misc]approximate: Taking taylor expansion of (* (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of -2 in U * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of -2 in K * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ 1/2 K)) U)))) into (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2)) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) * [misc]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)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ 1/2 K)) U))) into (log (/ 1/2 (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))))) into (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) into (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (/ 1/2 K)))) (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 0 (* 2 (cos (/ 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ 1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ 1/2 K)) U))) into (log (/ 1/2 (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))))) into (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) into (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (/ 1/2 K)))) (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 0 (* 2 (cos (/ 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ 1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* -2 1) into -2 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* (* -2 (cos (/ 1/2 K))) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) into (* -2 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) * [misc]taylor: Taking taylor expansion of (* -2 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) in K * [misc]taylor: Taking taylor expansion of -2 in K * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) in K * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (* (cos (/ 1/2 K)) U))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (cos (/ 1/2 K)) U)) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1/2 K)) U) in K * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) U) into (* (cos (/ 1/2 K)) U) * [misc]backup-simplify: Simplify (/ 1/2 (* (cos (/ 1/2 K)) U)) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ 1/2 K)) U))) into (log (/ 1/2 (* (cos (/ 1/2 K)) U))) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) into (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) into (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 U)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (cos (/ 1/2 K)) U)) (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 0 (* (cos (/ 1/2 K)) U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ 1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) into (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) * [misc]backup-simplify: Simplify (* -2 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into (* -2 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) * [misc]taylor: Taking taylor expansion of (* -2 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) in U * [misc]taylor: Taking taylor expansion of -2 in U * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) in U * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in U * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in U * [misc]taylor: Taking taylor expansion of 1/2 in U * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) in U * [misc]taylor: Taking taylor expansion of (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) in U * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (* (cos (/ 1/2 K)) U))) in U * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (cos (/ 1/2 K)) U)) in U * [misc]taylor: Taking taylor expansion of 1/2 in U * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1/2 K)) U) in U * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in U * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in U * [misc]taylor: Taking taylor expansion of 1/2 in U * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 1) (* 0 0)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (/ 1/2 (cos (/ 1/2 K))))) into (- (log (/ 1/2 (cos (/ 1/2 K)))) (log U)) * [misc]backup-simplify: Simplify (+ (- (log (/ 1/2 (cos (/ 1/2 K)))) (log U)) (log J)) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) into (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) into (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (* -2 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into (* -2 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) * [misc]backup-simplify: Simplify (* -2 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into (* -2 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -2 (cos (/ 1/2 K))) 0) (* 0 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (/ 1/2 K)))) (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 0 (* 2 (cos (/ 1/2 K))))) (* 0 (/ 0 (* 2 (cos (/ 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (* (cos (/ 1/2 K)) U)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (* (cos (/ 1/2 K)) U)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -2 (cos (/ 1/2 K))) 0) (+ (* 0 0) (* 0 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 U))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (cos (/ 1/2 K)) U)) (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 0 (* (cos (/ 1/2 K)) U))) (* 0 (/ 0 (* (cos (/ 1/2 K)) U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (* (cos (/ 1/2 K)) U)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (* (cos (/ 1/2 K)) U)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow J 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow J 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -2 (* (cos (/ 1/2 (/ 1 K))) (sqrt (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (/ 1/2 (/ 1 K)))))) (log (/ 1 U))))) 1)))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))))))) * [misc]approximate: Taking taylor expansion of (* (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of -2 in U * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of -2 in K * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2)) into (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ -1/2 K)) U))) into (log (/ 1/2 (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) into (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) into (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (cos (/ -1/2 K)))) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* -2 (cos (/ -1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ -1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ -1/2 K)) U))) into (log (/ 1/2 (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) into (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) into (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (cos (/ -1/2 K)))) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* -2 (cos (/ -1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ -1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (* -2 -1) into 2 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* (* 2 (cos (/ -1/2 K))) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) into (* 2 (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) * [misc]taylor: Taking taylor expansion of (* 2 (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) in K * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in K * [misc]taylor: Taking taylor expansion of -1/2 in K * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (* (cos (/ -1/2 K)) U))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (cos (/ -1/2 K)) U)) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in K * [misc]taylor: Taking taylor expansion of -1/2 in K * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) * [misc]backup-simplify: Simplify (/ 1/2 (* (cos (/ -1/2 K)) U)) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ -1/2 K)) U))) into (log (/ 1/2 (* (cos (/ -1/2 K)) U))) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) into (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) into (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ -1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) into (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) * [misc]backup-simplify: Simplify (* 2 (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into (* 2 (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) * [misc]taylor: Taking taylor expansion of (* 2 (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) in U * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in U * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in U * [misc]taylor: Taking taylor expansion of -1/2 in U * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ -1/2 K) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) in U * [misc]taylor: Taking taylor expansion of (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) in U * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (* (cos (/ -1/2 K)) U))) in U * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (cos (/ -1/2 K)) U)) in U * [misc]taylor: Taking taylor expansion of 1/2 in U * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in U * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in U * [misc]taylor: Taking taylor expansion of -1/2 in U * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ -1/2 K) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (/ 1/2 (cos (/ -1/2 K))))) into (- (log (/ 1/2 (cos (/ -1/2 K)))) (log U)) * [misc]backup-simplify: Simplify (+ (- (log (/ 1/2 (cos (/ -1/2 K)))) (log U)) (log J)) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))) into (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) into (* (cos (/ -1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) * [misc]backup-simplify: Simplify (* 2 (* (cos (/ -1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into (* 2 (* (cos (/ -1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) * [misc]backup-simplify: Simplify (* 2 (* (cos (/ -1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into (* 2 (* (cos (/ -1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (cos (/ -1/2 K))) 0) (* 0 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* (cos (/ -1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))) (* 0 (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (cos (/ -1/2 K)))) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* -2 (cos (/ -1/2 K))))) (* 0 (/ 0 (* -2 (cos (/ -1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (* (cos (/ -1/2 K)) U)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (* (cos (/ -1/2 K)) U)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (cos (/ -1/2 K))) 0) (+ (* 0 0) (* 0 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 U))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))) (* 0 (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (* (cos (/ -1/2 K)) U)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (* (cos (/ -1/2 K)) U)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow J 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow J 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 2 (* (cos (/ -1/2 (/ 1 (- K)))) (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- J)))) (log (/ 1 (- U)))))) 1)))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 (* (sqrt (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))))) (* (cos (* 1/2 K)) J))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 2) * [misc]approximate: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 J) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (* 2 J) 1) into (* 2 J) * [misc]backup-simplify: Simplify (/ U (* 2 J)) into (* 1/2 (/ U J)) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U J))) into (log (* 1/2 (/ U J))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ U J)))) into (* 2 (log (* 1/2 (/ U J)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ U J))))) into (pow (* 1/2 (/ U J)) 2) * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 J) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* 0 (cos (* 1/2 K))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U (cos (* 1/2 K))))) into (log (* 1/2 (/ U (cos (* 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) into (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (* 1/2 K)) J))) into (log (/ 1/2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) into (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (* 1/2 K)) J))) into (log (/ 1/2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) into (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) in J * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (* (cos (* 1/2 K)) J))) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (* 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 1/2 K) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 K)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (* 1/2 K))) into (/ 1/2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (* 1/2 K)))) into (log (/ 1/2 (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (/ 1/2 (cos (* 1/2 K))))) into (- (log (/ 1/2 (cos (* 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (log U) (- (log (/ 1/2 (cos (* 1/2 K)))) (log J))) into (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) into (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)) in K * [misc]taylor: Taking taylor expansion of (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (* 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (* 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (+ (log U) (log 1/2)) into (+ (log U) (log 1/2)) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log U) (log 1/2)) (- (log J))) into (- (+ (log U) (log 1/2)) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log U) (log 1/2)) (log J))) into (* 2 (- (+ (log U) (log 1/2)) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) into (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) into (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (* 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log U) (log 1/2)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (* 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (* 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) into (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) * [misc]approximate: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ 1/2 K)) U)))) into (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ 1/2 K)) U))) into (log (/ 1/2 (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) in J * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) in J * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ J (cos (/ 1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) in K * [misc]taylor: Taking taylor expansion of (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (/ 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))) (* 0 (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (/ 1/2 (/ 1 K)))))) (log (/ 1 U))))) into (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))) * [misc]approximate: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ -1/2 K)) U))) into (log (/ 1/2 (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) in J * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) in J * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ J (cos (/ -1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in J * [misc]taylor: Taking taylor expansion of -1/2 in J * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ -1/2 K) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ -1/2 K))))) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) in K * [misc]taylor: Taking taylor expansion of (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (/ -1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in K * [misc]taylor: Taking taylor expansion of -1/2 in K * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ -1 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))) (* 0 (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- J)))) (log (/ 1 (- U)))))) into (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 2 1 2) * [misc]approximate: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in (J K) around 0 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 J) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 J) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 J) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* 0 (cos (* 1/2 K))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K))) * [misc]taylor: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 2 (* 1 J)) into (* 2 J) * [misc]approximate: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in (J K) around 0 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) * [misc]taylor: Taking taylor expansion of (* 2 (cos (/ 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 2 (cos (/ 1/2 (/ 1 K)))) (* 1 (/ 1 (/ 1 J)))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]approximate: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in (J K) around 0 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) * [misc]taylor: Taking taylor expansion of (* -2 (cos (/ -1/2 K))) in K * [misc]taylor: Taking taylor expansion of -2 in K * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in K * [misc]taylor: Taking taylor expansion of -1/2 in K * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (/ 1 (/ 1 (- J))))) into (* 2 (* (cos (* 1/2 K)) J)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (log (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 4 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (exp (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (exp (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 5 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [enter]simplify: Simplifying (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 6 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * [exit]simplify: Simplified to (* (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (* (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 7 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (328 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * [enter]simplify: Simplifying (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 8 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 9 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) * [exit]simplify: Simplified to (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) * * * * [misc]progress: [ 10 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (pow (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 3))) * [exit]simplify: Simplified to (sqrt (+ 1 (pow (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 3))) * [enter]simplify: Simplifying (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (337 enodes) * [exit]simplify: Simplified to (sqrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) * [exit]simplify: Simplified to (sqrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * * * [misc]progress: [ 11 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)))) * [exit]simplify: Simplified to (sqrt (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)))) * [enter]simplify: Simplifying (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (484 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [exit]simplify: Simplified to (sqrt (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * * * [misc]progress: [ 12 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 13 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (391 enodes) * [exit]simplify: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 16 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (391 enodes) * [exit]simplify: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 17 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (* -2 J)) (log (cos (/ K 2)))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (404 enodes) * [exit]simplify: Simplified to (+ (+ (log (cos (/ K 2))) (log (* J -2))) (log (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (+ (+ (log (cos (/ K 2))) (log (* J -2))) (log (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 19 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (* -2 J) (cos (/ K 2)))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (401 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) (log (* (* J -2) (cos (/ K 2))))) * [exit]simplify: Simplified to (+ (log (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) (log (* (* J -2) (cos (/ K 2))))) * * * * [misc]progress: [ 20 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (471 enodes) * [exit]simplify: Simplified to (log (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (log (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 21 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (407 enodes) * [exit]simplify: Simplified to (pow (pow (exp (* J -2)) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (pow (pow (exp (* J -2)) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 22 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (cos (/ K 2)) (pow (* J -2) 3)) (* (cos (/ K 2)) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (* (cos (/ K 2)) (pow (* J -2) 3)) (* (cos (/ K 2)) (cos (/ K 2))))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (* (+ (* (* (* (cos (/ K 2)) (pow (* J -2) 3)) (* (cos (/ K 2)) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (* (cos (/ K 2)) (pow (* J -2) 3)) (* (cos (/ K 2)) (cos (/ K 2))))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 23 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* -2 J) (cos (/ K 2))) (* (* -2 J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * [exit]simplify: Simplified to (* (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (pow (* (* J -2) (cos (/ K 2))) 3)) (pow (* (* J -2) (cos (/ K 2))) 3)) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (* (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (pow (* (* J -2) (cos (/ K 2))) 3)) (pow (* (* J -2) (cos (/ K 2))) 3)) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 24 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (390 enodes) * [exit]simplify: Simplified to (* (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))) * [exit]simplify: Simplified to (* (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))) * [enter]simplify: Simplifying (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 25 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (430 enodes) * [exit]simplify: Simplified to (* (* (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (pow (* (* J -2) (cos (/ K 2))) 3)) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (* (* (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (pow (* (* J -2) (cos (/ K 2))) 3)) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 26 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (sqrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * [enter]simplify: Simplifying (sqrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (sqrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 27 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (478 enodes) * [exit]simplify: Simplified to (* (* (* (* J -2) (cos (/ K 2))) (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (* (* (* (* J -2) (cos (/ K 2))) (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 29 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (394 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2)))) * [exit]simplify: Simplified to (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2)))) * * * * [misc]progress: [ 30 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 31 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * [exit]simplify: Simplified to (* (* (sqrt 1) (* J -2)) (cos (/ K 2))) * [exit]simplify: Simplified to (* (* (sqrt 1) (* J -2)) (cos (/ K 2))) * * * * [misc]progress: [ 32 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 33 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (* (cos (/ K 2)) (* J -2)) * [exit]simplify: Simplified to (* (cos (/ K 2)) (* J -2)) * * * * [misc]progress: [ 34 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (326 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cos (/ K 2))) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cos (/ K 2))) * * * * [misc]progress: [ 35 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (261 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (pow (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 3))) (* (* J -2) (cos (/ K 2)))) * [exit]simplify: Simplified to (* (sqrt (+ 1 (pow (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 3))) (* (* J -2) (cos (/ K 2)))) * * * * [misc]progress: [ 36 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (250 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)))) (* (* J -2) (cos (/ K 2)))) * [exit]simplify: Simplified to (* (sqrt (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)))) (* (* J -2) (cos (/ K 2)))) * * * * [misc]progress: [ 37 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ U (* (* 2 J) (cos (/ K 2))))) 2) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (296 enodes) * [exit]simplify: Simplified to (* (log (/ (/ U (* J 2)) (cos (/ K 2)))) 2) * [exit]simplify: Simplified to (* (log (/ (/ U (* J 2)) (cos (/ K 2)))) 2) * * * * [misc]progress: [ 39 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ U (* (* 2 J) (cos (/ K 2))))) 2) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (296 enodes) * [exit]simplify: Simplified to (* (log (/ (/ U (* J 2)) (cos (/ K 2)))) 2) * [exit]simplify: Simplified to (* (log (/ (/ U (* J 2)) (cos (/ K 2)))) 2) * * * * [misc]progress: [ 40 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 2) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 41 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (/ U (* (* 2 J) (cos (/ K 2))))) (cbrt (/ U (* (* 2 J) (cos (/ K 2)))))) 2) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (/ (/ U (* J 2)) (cos (/ K 2))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) * [exit]simplify: Simplified to (* (/ (/ U (* J 2)) (cos (/ K 2))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) * [enter]simplify: Simplifying (pow (cbrt (/ U (* (* 2 J) (cos (/ K 2))))) 2) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) * [exit]simplify: Simplified to (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) * * * * [misc]progress: [ 42 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (/ U (* (* 2 J) (cos (/ K 2))))) 2) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) * [exit]simplify: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) * [enter]simplify: Simplifying (pow (sqrt (/ U (* (* 2 J) (cos (/ K 2))))) 2) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) * [exit]simplify: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) * * * * [misc]progress: [ 43 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 2) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (318 enodes) * [exit]simplify: Simplified to (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) * [exit]simplify: Simplified to (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) * * * * [misc]progress: [ 44 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (pow U 2) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (* U U) * [exit]simplify: Simplified to (* U U) * [enter]simplify: Simplifying (pow (/ 1 (* (* 2 J) (cos (/ K 2)))) 2) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (299 enodes) * [exit]simplify: Simplified to (* (/ (/ 1 (* J 2)) (cos (/ K 2))) (/ (/ 1 (* J 2)) (cos (/ K 2)))) * [exit]simplify: Simplified to (* (/ (/ 1 (* J 2)) (cos (/ K 2))) (/ (/ 1 (* J 2)) (cos (/ K 2)))) * * * * [misc]progress: [ 45 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (log (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * [exit]simplify: Simplified to (* (log (/ (/ U (* J 2)) (cos (/ K 2)))) 2) * [exit]simplify: Simplified to (* (log (/ (/ U (* J 2)) (cos (/ K 2)))) 2) * * * * [misc]progress: [ 48 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (321 enodes) * [exit]simplify: Simplified to (exp (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) * [exit]simplify: Simplified to (exp (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) * * * * [misc]progress: [ 49 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (cbrt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (321 enodes) * [exit]simplify: Simplified to (* (cbrt (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (cbrt (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) * [exit]simplify: Simplified to (* (cbrt (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (cbrt (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) * [enter]simplify: Simplifying (cbrt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (320 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) * [exit]simplify: Simplified to (cbrt (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) * * * * [misc]progress: [ 50 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (191 enodes) * [exit]simplify: Simplified to (pow (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 3) * [exit]simplify: Simplified to (pow (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 3) * * * * [misc]progress: [ 51 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * [exit]simplify: Simplified to (fabs (/ (/ U (* J 2)) (cos (/ K 2)))) * [exit]simplify: Simplified to (fabs (/ (/ U (* J 2)) (cos (/ K 2)))) * [enter]simplify: Simplifying (sqrt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * [exit]simplify: Simplified to (fabs (/ (/ U (* J 2)) (cos (/ K 2)))) * [exit]simplify: Simplified to (fabs (/ (/ U (* J 2)) (cos (/ K 2)))) * * * * [misc]progress: [ 52 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 2 J) (cos (/ K 2))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (* (* J 2) (cos (/ K 2))) * [exit]simplify: Simplified to (* (* J 2) (cos (/ K 2))) * * * * [misc]progress: [ 54 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* 2 J)) (log (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (+ (log (* J 2)) (log (cos (/ K 2)))) * [exit]simplify: Simplified to (+ (log (* J 2)) (log (cos (/ K 2)))) * * * * [misc]progress: [ 56 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (* 2 J) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * [exit]simplify: Simplified to (log (* (* J 2) (cos (/ K 2)))) * [exit]simplify: Simplified to (log (* (* J 2) (cos (/ K 2)))) * * * * [misc]progress: [ 57 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (* 2 J) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (pow (exp (+ J J)) (cos (/ K 2))) * [exit]simplify: Simplified to (pow (exp (+ J J)) (cos (/ K 2))) * * * * [misc]progress: [ 58 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* 2 J) (* 2 J)) (* 2 J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (* (* (cos (/ K 2)) (pow (* J 2) 3)) (* (cos (/ K 2)) (cos (/ K 2)))) * [exit]simplify: Simplified to (* (* (cos (/ K 2)) (pow (* J 2) 3)) (* (cos (/ K 2)) (cos (/ K 2)))) * * * * [misc]progress: [ 59 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (* 2 J) (cos (/ K 2)))) (cbrt (* (* 2 J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (* (* J 2) (cos (/ K 2)))) (cbrt (* (* J 2) (cos (/ K 2))))) * [exit]simplify: Simplified to (* (cbrt (* (* J 2) (cos (/ K 2)))) (cbrt (* (* J 2) (cos (/ K 2))))) * [enter]simplify: Simplifying (cbrt (* (* 2 J) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (cbrt (* (* J 2) (cos (/ K 2)))) * [exit]simplify: Simplified to (cbrt (* (* J 2) (cos (/ K 2)))) * * * * [misc]progress: [ 60 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * [exit]simplify: Simplified to (pow (* (* J 2) (cos (/ K 2))) 3) * [exit]simplify: Simplified to (pow (* (* J 2) (cos (/ K 2))) 3) * * * * [misc]progress: [ 61 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* 2 J) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (sqrt (* (* J 2) (cos (/ K 2)))) * [exit]simplify: Simplified to (sqrt (* (* J 2) (cos (/ K 2)))) * [enter]simplify: Simplifying (sqrt (* (* 2 J) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (sqrt (* (* J 2) (cos (/ K 2)))) * [exit]simplify: Simplified to (sqrt (* (* J 2) (cos (/ K 2)))) * * * * [misc]progress: [ 62 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (* (* 2 (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)) * [exit]simplify: Simplified to (* (* 2 (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)) * * * * [misc]progress: [ 64 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 2 J) (sqrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (* J 2) (sqrt (cos (/ K 2)))) * [exit]simplify: Simplified to (* (* J 2) (sqrt (cos (/ K 2)))) * * * * [misc]progress: [ 65 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 2 J) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (* J 2) * [exit]simplify: Simplified to (* J 2) * * * * [misc]progress: [ 66 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* J (cos (/ K 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* J (cos (/ K 2))) * [exit]simplify: Simplified to (* J (cos (/ K 2))) * * * * [misc]progress: [ 67 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (282 enodes) * [exit]simplify: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (* 1/2 U) J) (/ (* 1/2 U) J)) 1))) * * * * [misc]progress: [ 69 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U)))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (335 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* (* (* U (/ 1 J)) (/ 1/2 (cos (* K 1/2)))) (* (* U (/ 1 J)) (/ 1/2 (cos (* K 1/2))))))) (* (* J -2) (cos (/ K 2)))) * * * * [misc]progress: [ 70 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U)))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (341 enodes) * [exit]simplify: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (* (/ (/ -1 J) (/ -1 U)) (/ 1/2 (cos (* 1/2 K)))) (* (/ (/ -1 J) (/ -1 U)) (/ 1/2 (cos (* 1/2 K))))) 1))) * * * * [misc]progress: [ 71 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) J)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (223 enodes) * [exit]simplify: Simplified to (* (* -2 J) (sqrt (+ (* (* U (/ 1/2 J)) (* U (/ 1/2 J))) 1))) * * * * [misc]progress: [ 72 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (333 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (* (/ 1/2 (cos (* K 1/2))) (* U (/ 1 J))) (* (/ 1/2 (cos (* K 1/2))) (* U (/ 1 J)))) 1)) (* (* J -2) (cos (* K 1/2)))) * * * * [misc]progress: [ 73 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (sqrt (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))))) (* (cos (* 1/2 K)) J))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (331 enodes) * [exit]simplify: Simplified to (* (* (cos (* K 1/2)) (* -2 J)) (sqrt (+ 1 (* (* (/ 1/2 (cos (* K 1/2))) (/ (/ -1 J) (/ -1 U))) (* (/ 1/2 (cos (* K 1/2))) (/ (/ -1 J) (/ -1 U))))))) * * * * [misc]progress: [ 74 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (282 enodes) * [exit]simplify: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (* (/ 1/2 J) U) (* (/ 1/2 J) U)) 1))) * * * * [misc]progress: [ 75 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U)))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (335 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* (* (* U (/ 1 J)) (/ 1/2 (cos (* K 1/2)))) (* (* U (/ 1 J)) (/ 1/2 (cos (* K 1/2))))))) (* (* J -2) (cos (/ K 2)))) * * * * [misc]progress: [ 76 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U)))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (341 enodes) * [exit]simplify: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (* (/ (/ -1 J) (/ -1 U)) (/ 1/2 (cos (* 1/2 K)))) (* (/ (/ -1 J) (/ -1 U)) (/ 1/2 (cos (* 1/2 K))))) 1))) * * * * [misc]progress: [ 77 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* 2 J)) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (259 enodes) * [exit]simplify: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ 1 (* (/ (/ U J) 2) (/ (/ U J) 2))))) * * * * [misc]progress: [ 78 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* 2 (* (cos (* 1/2 K)) J))) 2)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (401 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (/ (/ (* (/ U 2) (/ U 2)) (cos (* 1/2 K))) (* (* J J) (cos (* 1/2 K)))) 1)) (* (* J -2) (cos (/ K 2)))) * * * * [misc]progress: [ 79 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* 2 (* (cos (* 1/2 K)) J))) 2)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (401 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (/ (/ (* (/ U 2) (/ U 2)) (cos (* 1/2 K))) (* (* J J) (cos (* 1/2 K)))) 1)) (* (* J -2) (cos (/ K 2)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 1 2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 J) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (* 2 J) 1) into (* 2 J) * [misc]backup-simplify: Simplify (/ U (* 2 J)) into (* 1/2 (/ U J)) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U J))) into (log (* 1/2 (/ U J))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ U J)))) into (* 2 (log (* 1/2 (/ U J)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ U J))))) into (pow (* 1/2 (/ U J)) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ U J)) 2)) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ U J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ U J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ U J))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 J) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* 0 (cos (* 1/2 K))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U (cos (* 1/2 K))))) into (log (* 1/2 (/ U (cos (* 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) into (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) into (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ U (cos (* 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (* 1/2 K)) J))) into (log (/ 1/2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) into (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (* 1/2 K)) J))) into (log (/ 1/2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) into (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) in J * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (* (cos (* 1/2 K)) J))) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (* 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 1/2 K) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 K)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (* 1/2 K))) into (/ 1/2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (* 1/2 K)))) into (log (/ 1/2 (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (/ 1/2 (cos (* 1/2 K))))) into (- (log (/ 1/2 (cos (* 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (log U) (- (log (/ 1/2 (cos (* 1/2 K)))) (log J))) into (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) into (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) into (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (* 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)) in K * [misc]taylor: Taking taylor expansion of (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (* 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (* 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (+ (log U) (log 1/2)) into (+ (log U) (log 1/2)) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log U) (log 1/2)) (- (log J))) into (- (+ (log U) (log 1/2)) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log U) (log 1/2)) (log J))) into (* 2 (- (+ (log U) (log 1/2)) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) into (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) into (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) into (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log U) (log 1/2)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) into (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (* 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (* 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) into (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ 1/2 K)) U)))) into (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2)) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) * [misc]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)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ 1/2 K)) U))) into (log (/ 1/2 (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))))) into (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) into (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (/ 1/2 K)))) (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 0 (* 2 (cos (/ 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ 1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) in J * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) in J * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ J (cos (/ 1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) in K * [misc]taylor: Taking taylor expansion of (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (/ 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) into (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))) (* 0 (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (/ 1/2 (/ 1 K)))))) (log (/ 1 U))))) 1)) into (sqrt (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))))) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2)) into (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ -1/2 K)) U))) into (log (/ 1/2 (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) into (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) into (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (cos (/ -1/2 K)))) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* -2 (cos (/ -1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ -1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) in J * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) in J * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ J (cos (/ -1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in J * [misc]taylor: Taking taylor expansion of -1/2 in J * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ -1/2 K) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ -1/2 K))))) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) into (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) in K * [misc]taylor: Taking taylor expansion of (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (/ -1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in K * [misc]taylor: Taking taylor expansion of -1/2 in K * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) into (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ -1 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))) (* 0 (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- J)))) (log (/ 1 (- U)))))) 1)) into (sqrt (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* -2 J) in U * [misc]taylor: Taking taylor expansion of -2 in U * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (* (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (* 1/2 K)) J))) into (log (/ 1/2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) into (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of (* -2 J) in K * [misc]taylor: Taking taylor expansion of -2 in K * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (* (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 J) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (* 2 J) 1) into (* 2 J) * [misc]backup-simplify: Simplify (/ U (* 2 J)) into (* 1/2 (/ U J)) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U J))) into (log (* 1/2 (/ U J))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ U J)))) into (* 2 (log (* 1/2 (/ U J)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ U J))))) into (pow (* 1/2 (/ U J)) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ U J)) 2)) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ U J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ U J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ U J))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of (* -2 J) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 J) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* 0 (cos (* 1/2 K))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U (cos (* 1/2 K))))) into (log (* 1/2 (/ U (cos (* 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) into (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) into (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ U (cos (* 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of (* -2 J) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 J) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* 0 (cos (* 1/2 K))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U (cos (* 1/2 K))))) into (log (* 1/2 (/ U (cos (* 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) into (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) into (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ U (cos (* 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* -2 0) into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))))) into (* (cos (* 1/2 K)) (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1))) * [misc]backup-simplify: Simplify (* 0 (* (cos (* 1/2 K)) (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 1) (* 0 0)) into -2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -2 (* (cos (* 1/2 K)) (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1))))) into (- (* 2 (* (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))) (cos (* 1/2 K))))) * [misc]taylor: Taking taylor expansion of (- (* 2 (* (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))) (cos (* 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (* (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))) (cos (* 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))) (cos (* 1/2 K))) in K * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ U (cos (* 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (/ U (cos (* 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ U (cos (* 1/2 K))) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (/ U 1) into U * [misc]backup-simplify: Simplify (* 1/2 U) into (* 1/2 U) * [misc]backup-simplify: Simplify (log (* 1/2 U)) into (log (* 1/2 U)) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (log (* 1/2 U)) (- (log J))) into (- (log (* 1/2 U)) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 U)) (log J))) into (* 2 (- (log (* 1/2 U)) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 U)) (log J)))) into (exp (* 2 (- (log (* 1/2 U)) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J))))) into (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J)))))) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J)))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* U (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 U)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 U) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 U)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 U)) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J)))))))) into 0 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (* (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J)))))) 1) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J)))))) * [misc]backup-simplify: Simplify (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J))))))) into (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J))))))) * [misc]backup-simplify: Simplify (- (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J)))))))) into (- (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J)))))))) * [misc]taylor: Taking taylor expansion of (- (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J)))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J))))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J)))))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J))))) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 U)) (log J)))) in U * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 U)) (log J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 U)) (log J)) in U * [misc]taylor: Taking taylor expansion of (log (* 1/2 U)) in U * [misc]taylor: Taking taylor expansion of (* 1/2 U) in U * [misc]taylor: Taking taylor expansion of 1/2 in U * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log 1/2)) into (+ (log U) (log 1/2)) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log U) (log 1/2)) (- (log J))) into (- (+ (log U) (log 1/2)) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log U) (log 1/2)) (log J))) into (* 2 (- (+ (log U) (log 1/2)) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) into (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) into (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) into (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log U) (log 1/2)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* 2 (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))))) into (* 2 (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1))) * [misc]backup-simplify: Simplify (- (* 2 (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)))) into (- (* 2 (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))))) * [misc]backup-simplify: Simplify (- (* 2 (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))))) into (- (* 2 (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)))) * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))) (* 0 (/ 0 (* 2 (cos (* 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ U (cos (* 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ U (cos (* 1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -2 0) (* 0 (* (cos (* 1/2 K)) (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J)))))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- (* 2 (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)))) (* 1 (* 1 J))) into (* -2 (* (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) J)) * [misc]approximate: Taking taylor expansion of (* (* -2 (/ 1 J)) (* (cos (/ (/ 1 K) 2)) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (* (* -2 (/ 1 J)) (* (cos (/ (/ 1 K) 2)) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of -2 in U * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (* -2 (/ 1 J)) (* (cos (/ (/ 1 K) 2)) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of -2 in K * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ 1/2 K)) U)))) into (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2)) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) * [misc]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)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (* -2 (/ 1 J)) (* (cos (/ (/ 1 K) 2)) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ 1/2 K)) U))) into (log (/ 1/2 (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))))) into (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) into (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (/ 1/2 K)))) (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 0 (* 2 (cos (/ 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ 1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (* -2 (/ 1 J)) (* (cos (/ (/ 1 K) 2)) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 K) 2)) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ 1/2 K)) U))) into (log (/ 1/2 (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))))) into (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) into (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (/ 1/2 K)))) (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 0 (* 2 (cos (/ 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ 1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* -2 1) into -2 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) into (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) * [misc]backup-simplify: Simplify (* -2 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into (* -2 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) * [misc]taylor: Taking taylor expansion of (* -2 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) in K * [misc]taylor: Taking taylor expansion of -2 in K * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) in K * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (* (cos (/ 1/2 K)) U))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (cos (/ 1/2 K)) U)) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1/2 K)) U) in K * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) U) into (* (cos (/ 1/2 K)) U) * [misc]backup-simplify: Simplify (/ 1/2 (* (cos (/ 1/2 K)) U)) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ 1/2 K)) U))) into (log (/ 1/2 (* (cos (/ 1/2 K)) U))) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) into (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) into (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 U)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (cos (/ 1/2 K)) U)) (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 0 (* (cos (/ 1/2 K)) U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ 1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) into (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) * [misc]backup-simplify: Simplify (* -2 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into (* -2 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) * [misc]taylor: Taking taylor expansion of (* -2 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) in U * [misc]taylor: Taking taylor expansion of -2 in U * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) in U * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in U * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in U * [misc]taylor: Taking taylor expansion of 1/2 in U * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) in U * [misc]taylor: Taking taylor expansion of (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) in U * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (* (cos (/ 1/2 K)) U))) in U * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (cos (/ 1/2 K)) U)) in U * [misc]taylor: Taking taylor expansion of 1/2 in U * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1/2 K)) U) in U * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in U * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in U * [misc]taylor: Taking taylor expansion of 1/2 in U * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 1) (* 0 0)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (/ 1/2 (cos (/ 1/2 K))))) into (- (log (/ 1/2 (cos (/ 1/2 K)))) (log U)) * [misc]backup-simplify: Simplify (+ (- (log (/ 1/2 (cos (/ 1/2 K)))) (log U)) (log J)) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) into (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) into (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (* -2 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into (* -2 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) * [misc]backup-simplify: Simplify (* -2 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into (* -2 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (/ 1/2 K)))) (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 0 (* 2 (cos (/ 1/2 K))))) (* 0 (/ 0 (* 2 (cos (/ 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (* (cos (/ 1/2 K)) U)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (* (cos (/ 1/2 K)) U)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 U))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (cos (/ 1/2 K)) U)) (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 0 (* (cos (/ 1/2 K)) U))) (* 0 (/ 0 (* (cos (/ 1/2 K)) U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (* (cos (/ 1/2 K)) U)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (* (cos (/ 1/2 K)) U)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow J 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow J 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -2 (* (cos (/ 1/2 (/ 1 K))) (sqrt (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (/ 1/2 (/ 1 K)))))) (log (/ 1 U))))) 1)))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))))))) * [misc]approximate: Taking taylor expansion of (* (* -2 (/ 1 (- J))) (* (cos (/ (/ 1 (- K)) 2)) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (* (* -2 (/ 1 (- J))) (* (cos (/ (/ 1 (- K)) 2)) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of -2 in U * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (* -2 (/ 1 (- J))) (* (cos (/ (/ 1 (- K)) 2)) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of -2 in K * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2)) into (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (* -2 (/ 1 (- J))) (* (cos (/ (/ 1 (- K)) 2)) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ -1/2 K)) U))) into (log (/ 1/2 (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) into (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) into (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (cos (/ -1/2 K)))) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* -2 (cos (/ -1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ -1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (* -2 (/ 1 (- J))) (* (cos (/ (/ 1 (- K)) 2)) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (cos (/ (/ 1 (- K)) 2)) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ -1/2 K)) U))) into (log (/ 1/2 (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) into (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) into (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (cos (/ -1/2 K)))) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* -2 (cos (/ -1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ -1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (* -2 -1) into 2 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) into (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) * [misc]backup-simplify: Simplify (* 2 (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into (* 2 (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) * [misc]taylor: Taking taylor expansion of (* 2 (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) in K * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in K * [misc]taylor: Taking taylor expansion of -1/2 in K * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (* (cos (/ -1/2 K)) U))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (cos (/ -1/2 K)) U)) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in K * [misc]taylor: Taking taylor expansion of -1/2 in K * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) * [misc]backup-simplify: Simplify (/ 1/2 (* (cos (/ -1/2 K)) U)) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ -1/2 K)) U))) into (log (/ 1/2 (* (cos (/ -1/2 K)) U))) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) into (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) into (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ -1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) into (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) * [misc]backup-simplify: Simplify (* 2 (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into (* 2 (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) * [misc]taylor: Taking taylor expansion of (* 2 (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) in U * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in U * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in U * [misc]taylor: Taking taylor expansion of -1/2 in U * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ -1/2 K) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) in U * [misc]taylor: Taking taylor expansion of (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) in U * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (* (cos (/ -1/2 K)) U))) in U * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (cos (/ -1/2 K)) U)) in U * [misc]taylor: Taking taylor expansion of 1/2 in U * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in U * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in U * [misc]taylor: Taking taylor expansion of -1/2 in U * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ -1/2 K) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (/ 1/2 (cos (/ -1/2 K))))) into (- (log (/ 1/2 (cos (/ -1/2 K)))) (log U)) * [misc]backup-simplify: Simplify (+ (- (log (/ 1/2 (cos (/ -1/2 K)))) (log U)) (log J)) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))) into (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) into (* (cos (/ -1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) * [misc]backup-simplify: Simplify (* 2 (* (cos (/ -1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into (* 2 (* (cos (/ -1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) * [misc]backup-simplify: Simplify (* 2 (* (cos (/ -1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into (* 2 (* (cos (/ -1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* (cos (/ -1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))) (* 0 (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (cos (/ -1/2 K)))) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* -2 (cos (/ -1/2 K))))) (* 0 (/ 0 (* -2 (cos (/ -1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (* (cos (/ -1/2 K)) U)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (* (cos (/ -1/2 K)) U)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 U))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))) (* 0 (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (* (cos (/ -1/2 K)) U)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (* (cos (/ -1/2 K)) U)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow J 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow J 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 2 (* (cos (/ -1/2 (/ 1 (- K)))) (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- J)))) (log (/ 1 (- U)))))) 1)))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 (* (sqrt (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))))) (* (cos (* 1/2 K)) J))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2 1 2) * [misc]approximate: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 J) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (* 2 J) 1) into (* 2 J) * [misc]backup-simplify: Simplify (/ U (* 2 J)) into (* 1/2 (/ U J)) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U J))) into (log (* 1/2 (/ U J))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ U J)))) into (* 2 (log (* 1/2 (/ U J)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ U J))))) into (pow (* 1/2 (/ U J)) 2) * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 J) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* 0 (cos (* 1/2 K))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U (cos (* 1/2 K))))) into (log (* 1/2 (/ U (cos (* 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) into (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (* 1/2 K)) J))) into (log (/ 1/2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) into (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (* 1/2 K)) J))) into (log (/ 1/2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) into (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) in J * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (* (cos (* 1/2 K)) J))) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (* 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 1/2 K) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 K)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (* 1/2 K))) into (/ 1/2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (* 1/2 K)))) into (log (/ 1/2 (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (/ 1/2 (cos (* 1/2 K))))) into (- (log (/ 1/2 (cos (* 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (log U) (- (log (/ 1/2 (cos (* 1/2 K)))) (log J))) into (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) into (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)) in K * [misc]taylor: Taking taylor expansion of (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (* 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (* 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (+ (log U) (log 1/2)) into (+ (log U) (log 1/2)) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log U) (log 1/2)) (- (log J))) into (- (+ (log U) (log 1/2)) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log U) (log 1/2)) (log J))) into (* 2 (- (+ (log U) (log 1/2)) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) into (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) into (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (* 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log U) (log 1/2)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (* 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (* 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) into (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) * [misc]approximate: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ 1/2 K)) U)))) into (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ 1/2 K)) U))) into (log (/ 1/2 (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) in J * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) in J * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ J (cos (/ 1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) in K * [misc]taylor: Taking taylor expansion of (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (/ 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))) (* 0 (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (/ 1/2 (/ 1 K)))))) (log (/ 1 U))))) into (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))) * [misc]approximate: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ -1/2 K)) U))) into (log (/ 1/2 (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) in J * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) in J * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ J (cos (/ -1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in J * [misc]taylor: Taking taylor expansion of -1/2 in J * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ -1/2 K) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ -1/2 K))))) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) in K * [misc]taylor: Taking taylor expansion of (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (/ -1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in K * [misc]taylor: Taking taylor expansion of -1/2 in K * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ -1 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))) (* 0 (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- J)))) (log (/ 1 (- U)))))) into (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 1 2 1 2) * [misc]approximate: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in (J K) around 0 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 J) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 J) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 J) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* 0 (cos (* 1/2 K))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K))) * [misc]taylor: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 2 (* 1 J)) into (* 2 J) * [misc]approximate: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in (J K) around 0 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) * [misc]taylor: Taking taylor expansion of (* 2 (cos (/ 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 2 (cos (/ 1/2 (/ 1 K)))) (* 1 (/ 1 (/ 1 J)))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]approximate: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in (J K) around 0 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) * [misc]taylor: Taking taylor expansion of (* -2 (cos (/ -1/2 K))) in K * [misc]taylor: Taking taylor expansion of -2 in K * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in K * [misc]taylor: Taking taylor expansion of -1/2 in K * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (/ 1 (/ 1 (- J))))) into (* 2 (* (cos (* 1/2 K)) J)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (log (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 4 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (exp (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (exp (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 5 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [enter]simplify: Simplifying (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 6 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * [exit]simplify: Simplified to (* (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (* (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 7 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (328 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * [enter]simplify: Simplifying (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 8 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 9 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) * [exit]simplify: Simplified to (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) * * * * [misc]progress: [ 10 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (pow (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 3))) * [exit]simplify: Simplified to (sqrt (+ 1 (pow (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 3))) * [enter]simplify: Simplifying (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (337 enodes) * [exit]simplify: Simplified to (sqrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) * [exit]simplify: Simplified to (sqrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * * * [misc]progress: [ 11 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)))) * [exit]simplify: Simplified to (sqrt (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)))) * [enter]simplify: Simplifying (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (484 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [exit]simplify: Simplified to (sqrt (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * * * [misc]progress: [ 12 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 13 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (* (* J -2) (cos (/ K 2)))) * [exit]simplify: Simplified to (* (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (* (* J -2) (cos (/ K 2)))) * * * * [misc]progress: [ 16 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (* (* J -2) (cos (/ K 2)))) * [exit]simplify: Simplified to (* (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (* (* J -2) (cos (/ K 2)))) * * * * [misc]progress: [ 17 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* -2 J)) (+ (log (cos (/ K 2))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (400 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) (+ (log (cos (/ K 2))) (log (* J -2)))) * [exit]simplify: Simplified to (+ (log (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) (+ (log (cos (/ K 2))) (log (* J -2)))) * * * * [misc]progress: [ 19 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* -2 J)) (log (* (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (390 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (+ (log (* J -2)) (log (cos (/ K 2))))) * [exit]simplify: Simplified to (+ (log (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (+ (log (* J -2)) (log (cos (/ K 2))))) * * * * [misc]progress: [ 20 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * * [misc]simplify: iters left: 2 (481 enodes) * [exit]simplify: Simplified to (log (* (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (* (* J -2) (cos (/ K 2))))) * [exit]simplify: Simplified to (log (* (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (* (* J -2) (cos (/ K 2))))) * * * * [misc]progress: [ 21 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (393 enodes) * [exit]simplify: Simplified to (exp (* (sqrt (+ (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 1)) (* (* J -2) (cos (/ K 2))))) * [exit]simplify: Simplified to (exp (* (sqrt (+ (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 1)) (* (* J -2) (cos (/ K 2))))) * * * * [misc]progress: [ 22 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * [exit]simplify: Simplified to (* (* (* (* (cos (/ K 2)) (pow (* J -2) 3)) (* (cos (/ K 2)) (cos (/ K 2)))) (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (* (* (* (* (cos (/ K 2)) (pow (* J -2) 3)) (* (cos (/ K 2)) (cos (/ K 2)))) (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 23 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (* (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * [exit]simplify: Simplified to (* (* (* (* J -2) (cos (/ K 2))) (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (* (* J -2) (* J -2)) (* (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (cos (/ K 2)) (cos (/ K 2)))))) * [exit]simplify: Simplified to (* (* (* (* J -2) (cos (/ K 2))) (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (* (* J -2) (* J -2)) (* (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))) (* (cos (/ K 2)) (cos (/ K 2)))))) * * * * [misc]progress: [ 24 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (391 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (* (* J -2) (cos (/ K 2))))) (cbrt (* (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (* (* J -2) (cos (/ K 2)))))) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (* (* J -2) (cos (/ K 2))))) (cbrt (* (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (* (* J -2) (cos (/ K 2)))))) * [enter]simplify: Simplifying (cbrt (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (* (* J -2) (cos (/ K 2))))) * [exit]simplify: Simplified to (cbrt (* (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (* (* J -2) (cos (/ K 2))))) * * * * [misc]progress: [ 25 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * [exit]simplify: Simplified to (pow (* (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (* (* J -2) (cos (/ K 2)))) 3) * [exit]simplify: Simplified to (pow (* (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (* (* J -2) (cos (/ K 2)))) 3) * * * * [misc]progress: [ 26 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (sqrt (* (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (* (* J -2) (cos (/ K 2))))) * [exit]simplify: Simplified to (sqrt (* (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (* (* J -2) (cos (/ K 2))))) * [enter]simplify: Simplifying (sqrt (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (sqrt (* (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (* (* J -2) (cos (/ K 2))))) * [exit]simplify: Simplified to (sqrt (* (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (* (* J -2) (cos (/ K 2))))) * * * * [misc]progress: [ 27 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* -2 J) (cos (/ K 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (* (* J -2) (cos (/ K 2))) * [exit]simplify: Simplified to (* (* J -2) (cos (/ K 2))) * * * * [misc]progress: [ 29 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* J (* (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (338 enodes) * [exit]simplify: Simplified to (* (* J (cos (/ K 2))) (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) * [exit]simplify: Simplified to (* (* J (cos (/ K 2))) (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * * * [misc]progress: [ 30 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (259 enodes) * [exit]simplify: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ 1 (* (pow (/ (/ (/ U 2) J) (cos (/ K 2))) 3) (pow (/ (/ (/ U 2) J) (cos (/ K 2))) 3))))) * [exit]simplify: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ 1 (* (pow (/ (/ (/ U 2) J) (cos (/ K 2))) 3) (pow (/ (/ (/ U 2) J) (cos (/ K 2))) 3))))) * * * * [misc]progress: [ 31 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* -2 J) (* (cos (/ K 2)) (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (244 enodes) * [exit]simplify: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1))))) * [exit]simplify: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1))))) * * * * [misc]progress: [ 32 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ U (* (* 2 J) (cos (/ K 2))))) 2) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (296 enodes) * [exit]simplify: Simplified to (* (log (/ (/ U (* J 2)) (cos (/ K 2)))) 2) * [exit]simplify: Simplified to (* (log (/ (/ U (* J 2)) (cos (/ K 2)))) 2) * * * * [misc]progress: [ 34 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ U (* (* 2 J) (cos (/ K 2))))) 2) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (296 enodes) * [exit]simplify: Simplified to (* (log (/ (/ U (* J 2)) (cos (/ K 2)))) 2) * [exit]simplify: Simplified to (* (log (/ (/ U (* J 2)) (cos (/ K 2)))) 2) * * * * [misc]progress: [ 35 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 2) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 36 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (/ U (* (* 2 J) (cos (/ K 2))))) (cbrt (/ U (* (* 2 J) (cos (/ K 2)))))) 2) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (/ (/ U (* J 2)) (cos (/ K 2))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) * [exit]simplify: Simplified to (* (/ (/ U (* J 2)) (cos (/ K 2))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) * [enter]simplify: Simplifying (pow (cbrt (/ U (* (* 2 J) (cos (/ K 2))))) 2) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) * [exit]simplify: Simplified to (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) * * * * [misc]progress: [ 37 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (/ U (* (* 2 J) (cos (/ K 2))))) 2) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) * [exit]simplify: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) * [enter]simplify: Simplifying (pow (sqrt (/ U (* (* 2 J) (cos (/ K 2))))) 2) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) * [exit]simplify: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) * * * * [misc]progress: [ 38 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 2) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (318 enodes) * [exit]simplify: Simplified to (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) * [exit]simplify: Simplified to (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) * * * * [misc]progress: [ 39 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (pow U 2) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (* U U) * [exit]simplify: Simplified to (* U U) * [enter]simplify: Simplifying (pow (/ 1 (* (* 2 J) (cos (/ K 2)))) 2) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (299 enodes) * [exit]simplify: Simplified to (* (/ (/ 1 (* J 2)) (cos (/ K 2))) (/ (/ 1 (* J 2)) (cos (/ K 2)))) * [exit]simplify: Simplified to (* (/ (/ 1 (* J 2)) (cos (/ K 2))) (/ (/ 1 (* J 2)) (cos (/ K 2)))) * * * * [misc]progress: [ 40 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * [exit]simplify: Simplified to (* (log (/ (/ U (* J 2)) (cos (/ K 2)))) 2) * [exit]simplify: Simplified to (* (log (/ (/ U (* J 2)) (cos (/ K 2)))) 2) * * * * [misc]progress: [ 43 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (321 enodes) * [exit]simplify: Simplified to (exp (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) * [exit]simplify: Simplified to (exp (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) * * * * [misc]progress: [ 44 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (cbrt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (321 enodes) * [exit]simplify: Simplified to (* (cbrt (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (cbrt (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) * [exit]simplify: Simplified to (* (cbrt (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (cbrt (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) * [enter]simplify: Simplifying (cbrt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (320 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) * [exit]simplify: Simplified to (cbrt (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) * * * * [misc]progress: [ 45 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (191 enodes) * [exit]simplify: Simplified to (pow (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 3) * [exit]simplify: Simplified to (pow (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 3) * * * * [misc]progress: [ 46 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * [exit]simplify: Simplified to (fabs (/ (/ U (* J 2)) (cos (/ K 2)))) * [exit]simplify: Simplified to (fabs (/ (/ U (* J 2)) (cos (/ K 2)))) * [enter]simplify: Simplifying (sqrt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * [exit]simplify: Simplified to (fabs (/ (/ U (* J 2)) (cos (/ K 2)))) * [exit]simplify: Simplified to (fabs (/ (/ U (* J 2)) (cos (/ K 2)))) * * * * [misc]progress: [ 47 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 2 J) (cos (/ K 2))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (* (* J 2) (cos (/ K 2))) * [exit]simplify: Simplified to (* (* J 2) (cos (/ K 2))) * * * * [misc]progress: [ 49 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* 2 J)) (log (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (+ (log (* J 2)) (log (cos (/ K 2)))) * [exit]simplify: Simplified to (+ (log (* J 2)) (log (cos (/ K 2)))) * * * * [misc]progress: [ 51 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (* 2 J) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * [exit]simplify: Simplified to (log (* (* J 2) (cos (/ K 2)))) * [exit]simplify: Simplified to (log (* (* J 2) (cos (/ K 2)))) * * * * [misc]progress: [ 52 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (* 2 J) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (pow (exp (+ J J)) (cos (/ K 2))) * [exit]simplify: Simplified to (pow (exp (+ J J)) (cos (/ K 2))) * * * * [misc]progress: [ 53 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* 2 J) (* 2 J)) (* 2 J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (* (* (cos (/ K 2)) (pow (* J 2) 3)) (* (cos (/ K 2)) (cos (/ K 2)))) * [exit]simplify: Simplified to (* (* (cos (/ K 2)) (pow (* J 2) 3)) (* (cos (/ K 2)) (cos (/ K 2)))) * * * * [misc]progress: [ 54 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (* 2 J) (cos (/ K 2)))) (cbrt (* (* 2 J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (* (* J 2) (cos (/ K 2)))) (cbrt (* (* J 2) (cos (/ K 2))))) * [exit]simplify: Simplified to (* (cbrt (* (* J 2) (cos (/ K 2)))) (cbrt (* (* J 2) (cos (/ K 2))))) * [enter]simplify: Simplifying (cbrt (* (* 2 J) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (cbrt (* (* J 2) (cos (/ K 2)))) * [exit]simplify: Simplified to (cbrt (* (* J 2) (cos (/ K 2)))) * * * * [misc]progress: [ 55 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * [exit]simplify: Simplified to (pow (* (* J 2) (cos (/ K 2))) 3) * [exit]simplify: Simplified to (pow (* (* J 2) (cos (/ K 2))) 3) * * * * [misc]progress: [ 56 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* 2 J) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (sqrt (* (* J 2) (cos (/ K 2)))) * [exit]simplify: Simplified to (sqrt (* (* J 2) (cos (/ K 2)))) * [enter]simplify: Simplifying (sqrt (* (* 2 J) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (sqrt (* (* J 2) (cos (/ K 2)))) * [exit]simplify: Simplified to (sqrt (* (* J 2) (cos (/ K 2)))) * * * * [misc]progress: [ 57 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (* (* 2 (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)) * [exit]simplify: Simplified to (* (* 2 (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)) * * * * [misc]progress: [ 59 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 2 J) (sqrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (* J 2) (sqrt (cos (/ K 2)))) * [exit]simplify: Simplified to (* (* J 2) (sqrt (cos (/ K 2)))) * * * * [misc]progress: [ 60 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 2 J) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (* J 2) * [exit]simplify: Simplified to (* J 2) * * * * [misc]progress: [ 61 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* J (cos (/ K 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* J (cos (/ K 2))) * [exit]simplify: Simplified to (* J (cos (/ K 2))) * * * * [misc]progress: [ 62 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (281 enodes) * [exit]simplify: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ 1 (* (* (/ U J) 1/2) (* (/ U J) 1/2))))) * * * * [misc]progress: [ 64 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (337 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (* (* (/ 1 J) U) (/ 1/2 (cos (* 1/2 K)))) (* (* (/ 1 J) U) (/ 1/2 (cos (* 1/2 K))))) 1)) (* (* J -2) (cos (/ K 2)))) * * * * [misc]progress: [ 65 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (335 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (* (/ (/ -1 J) (/ -1 U)) (/ 1/2 (cos (* K 1/2)))) (* (/ (/ -1 J) (/ -1 U)) (/ 1/2 (cos (* K 1/2))))) 1)) (* (* J -2) (cos (/ K 2)))) * * * * [misc]progress: [ 66 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) J)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (223 enodes) * [exit]simplify: Simplified to (* (* -2 J) (sqrt (+ (* (* U (/ 1/2 J)) (* U (/ 1/2 J))) 1))) * * * * [misc]progress: [ 67 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (333 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (* (/ 1/2 (cos (* K 1/2))) (* U (/ 1 J))) (* (/ 1/2 (cos (* K 1/2))) (* U (/ 1 J)))) 1)) (* (* J -2) (cos (* K 1/2)))) * * * * [misc]progress: [ 68 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (sqrt (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))))) (* (cos (* 1/2 K)) J))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (331 enodes) * [exit]simplify: Simplified to (* (* (cos (* K 1/2)) (* -2 J)) (sqrt (+ 1 (* (* (/ 1/2 (cos (* K 1/2))) (/ (/ -1 J) (/ -1 U))) (* (/ 1/2 (cos (* K 1/2))) (/ (/ -1 J) (/ -1 U))))))) * * * * [misc]progress: [ 69 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (281 enodes) * [exit]simplify: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ 1 (* (* 1/2 (/ U J)) (* 1/2 (/ U J)))))) * * * * [misc]progress: [ 70 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (337 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (* (* (/ 1 J) U) (/ 1/2 (cos (* 1/2 K)))) (* (* (/ 1 J) U) (/ 1/2 (cos (* 1/2 K))))) 1)) (* (* J -2) (cos (/ K 2)))) * * * * [misc]progress: [ 71 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (335 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (* (/ (/ -1 J) (/ -1 U)) (/ 1/2 (cos (* K 1/2)))) (* (/ (/ -1 J) (/ -1 U)) (/ 1/2 (cos (* K 1/2))))) 1)) (* (* J -2) (cos (/ K 2)))) * * * * [misc]progress: [ 72 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* 2 J)) 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (257 enodes) * [exit]simplify: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ U J) 2) (/ (/ U J) 2)) 1))) * * * * [misc]progress: [ 73 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* 2 (* (cos (* 1/2 K)) J))) 2))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (404 enodes) * [exit]simplify: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (/ (/ (/ (* U U) (* J 2)) (cos (* 1/2 K))) (* (cos (* 1/2 K)) (* J 2))) 1))) * * * * [misc]progress: [ 74 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* 2 (* (cos (* 1/2 K)) J))) 2))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (404 enodes) * [exit]simplify: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (/ (/ (/ (* U U) (* J 2)) (cos (* 1/2 K))) (* (cos (* 1/2 K)) (* J 2))) 1))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 2) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 J) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (* 2 J) 1) into (* 2 J) * [misc]backup-simplify: Simplify (/ U (* 2 J)) into (* 1/2 (/ U J)) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U J))) into (log (* 1/2 (/ U J))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ U J)))) into (* 2 (log (* 1/2 (/ U J)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ U J))))) into (pow (* 1/2 (/ U J)) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ U J)) 2)) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ U J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ U J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ U J))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 J) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* 0 (cos (* 1/2 K))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U (cos (* 1/2 K))))) into (log (* 1/2 (/ U (cos (* 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) into (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) into (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ U (cos (* 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (* 1/2 K)) J))) into (log (/ 1/2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) into (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (* 1/2 K)) J))) into (log (/ 1/2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) into (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) in J * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (* (cos (* 1/2 K)) J))) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (* 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 1/2 K) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 K)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (* 1/2 K))) into (/ 1/2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (* 1/2 K)))) into (log (/ 1/2 (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (/ 1/2 (cos (* 1/2 K))))) into (- (log (/ 1/2 (cos (* 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (log U) (- (log (/ 1/2 (cos (* 1/2 K)))) (log J))) into (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) into (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) into (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (* 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)) in K * [misc]taylor: Taking taylor expansion of (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (* 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (* 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (+ (log U) (log 1/2)) into (+ (log U) (log 1/2)) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log U) (log 1/2)) (- (log J))) into (- (+ (log U) (log 1/2)) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log U) (log 1/2)) (log J))) into (* 2 (- (+ (log U) (log 1/2)) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) into (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) into (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) into (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log U) (log 1/2)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) into (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (* 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (* 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) into (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ 1/2 K)) U)))) into (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2)) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) * [misc]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)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ 1/2 K)) U))) into (log (/ 1/2 (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))))) into (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) into (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (/ 1/2 K)))) (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 0 (* 2 (cos (/ 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ 1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) in J * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) in J * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ J (cos (/ 1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) in K * [misc]taylor: Taking taylor expansion of (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (/ 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) into (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))) (* 0 (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (/ 1/2 (/ 1 K)))))) (log (/ 1 U))))) 1)) into (sqrt (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))))) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2)) into (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ -1/2 K)) U))) into (log (/ 1/2 (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) into (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) into (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (cos (/ -1/2 K)))) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* -2 (cos (/ -1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ -1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) in J * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) in J * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ J (cos (/ -1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in J * [misc]taylor: Taking taylor expansion of -1/2 in J * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ -1/2 K) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ -1/2 K))))) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) into (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) in K * [misc]taylor: Taking taylor expansion of (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (/ -1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in K * [misc]taylor: Taking taylor expansion of -1/2 in K * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) into (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ -1 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))) (* 0 (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- J)))) (log (/ 1 (- U)))))) 1)) into (sqrt (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1 2) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 J) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (* 2 J) 1) into (* 2 J) * [misc]backup-simplify: Simplify (/ U (* 2 J)) into (* 1/2 (/ U J)) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U J))) into (log (* 1/2 (/ U J))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ U J)))) into (* 2 (log (* 1/2 (/ U J)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ U J))))) into (pow (* 1/2 (/ U J)) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ U J)) 2)) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ U J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ U J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ U J))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 J) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* 0 (cos (* 1/2 K))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U (cos (* 1/2 K))))) into (log (* 1/2 (/ U (cos (* 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) into (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) into (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ U (cos (* 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (* 1/2 K)) J))) into (log (/ 1/2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) into (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (* 1/2 K)) J))) into (log (/ 1/2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) into (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) in J * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (* (cos (* 1/2 K)) J))) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (* 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 1/2 K) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 K)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (* 1/2 K))) into (/ 1/2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (* 1/2 K)))) into (log (/ 1/2 (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (/ 1/2 (cos (* 1/2 K))))) into (- (log (/ 1/2 (cos (* 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (log U) (- (log (/ 1/2 (cos (* 1/2 K)))) (log J))) into (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) into (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) into (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (* 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)) in K * [misc]taylor: Taking taylor expansion of (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (* 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (* 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (+ (log U) (log 1/2)) into (+ (log U) (log 1/2)) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log U) (log 1/2)) (- (log J))) into (- (+ (log U) (log 1/2)) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log U) (log 1/2)) (log J))) into (* 2 (- (+ (log U) (log 1/2)) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) into (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) into (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) into (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log U) (log 1/2)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) into (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (* 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (* 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) into (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ 1/2 K)) U)))) into (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2)) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) * [misc]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)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ 1/2 K)) U))) into (log (/ 1/2 (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))))) into (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) into (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (/ 1/2 K)))) (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 0 (* 2 (cos (/ 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ 1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) in J * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) in J * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ J (cos (/ 1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) in K * [misc]taylor: Taking taylor expansion of (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (/ 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) into (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))) (* 0 (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (/ 1/2 (/ 1 K)))))) (log (/ 1 U))))) 1)) into (sqrt (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))))) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2)) into (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ -1/2 K)) U))) into (log (/ 1/2 (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) into (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) into (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (cos (/ -1/2 K)))) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* -2 (cos (/ -1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ -1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) in J * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) in J * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ J (cos (/ -1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in J * [misc]taylor: Taking taylor expansion of -1/2 in J * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ -1/2 K) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ -1/2 K))))) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) into (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) in K * [misc]taylor: Taking taylor expansion of (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (/ -1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in K * [misc]taylor: Taking taylor expansion of -1/2 in K * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) into (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ -1 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))) (* 0 (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- J)))) (log (/ 1 (- U)))))) 1)) into (sqrt (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 2) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 J) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (* 2 J) 1) into (* 2 J) * [misc]backup-simplify: Simplify (/ U (* 2 J)) into (* 1/2 (/ U J)) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U J))) into (log (* 1/2 (/ U J))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ U J)))) into (* 2 (log (* 1/2 (/ U J)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ U J))))) into (pow (* 1/2 (/ U J)) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ U J)) 2)) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ U J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ U J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ U J))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 J) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* 0 (cos (* 1/2 K))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U (cos (* 1/2 K))))) into (log (* 1/2 (/ U (cos (* 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) into (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) into (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ U (cos (* 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (* 1/2 K)) J))) into (log (/ 1/2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) into (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (* 1/2 K)) J))) into (log (/ 1/2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) into (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) in J * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (* (cos (* 1/2 K)) J))) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (* 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 1/2 K) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 K)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (* 1/2 K))) into (/ 1/2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (* 1/2 K)))) into (log (/ 1/2 (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (/ 1/2 (cos (* 1/2 K))))) into (- (log (/ 1/2 (cos (* 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (log U) (- (log (/ 1/2 (cos (* 1/2 K)))) (log J))) into (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) into (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) into (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (* 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)) in K * [misc]taylor: Taking taylor expansion of (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (* 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (* 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (+ (log U) (log 1/2)) into (+ (log U) (log 1/2)) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log U) (log 1/2)) (- (log J))) into (- (+ (log U) (log 1/2)) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log U) (log 1/2)) (log J))) into (* 2 (- (+ (log U) (log 1/2)) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) into (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) into (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) into (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log U) (log 1/2)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) into (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (* 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (* 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) into (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ 1/2 K)) U)))) into (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2)) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) * [misc]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)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ 1/2 K)) U))) into (log (/ 1/2 (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))))) into (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) into (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (/ 1/2 K)))) (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 0 (* 2 (cos (/ 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ 1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) in J * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) in J * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ J (cos (/ 1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) in K * [misc]taylor: Taking taylor expansion of (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (/ 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) into (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))) (* 0 (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (/ 1/2 (/ 1 K)))))) (log (/ 1 U))))) 1)) into (sqrt (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))))) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2)) into (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ -1/2 K)) U))) into (log (/ 1/2 (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) into (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) into (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (cos (/ -1/2 K)))) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* -2 (cos (/ -1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ -1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) in J * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) in J * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ J (cos (/ -1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in J * [misc]taylor: Taking taylor expansion of -1/2 in J * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ -1/2 K) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ -1/2 K))))) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) into (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) in K * [misc]taylor: Taking taylor expansion of (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (/ -1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in K * [misc]taylor: Taking taylor expansion of -1/2 in K * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) into (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ -1 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))) (* 0 (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- J)))) (log (/ 1 (- U)))))) 1)) into (sqrt (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of (* (* -2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* -2 J) in U * [misc]taylor: Taking taylor expansion of -2 in U * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (* 1/2 K)) J))) into (log (/ 1/2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) into (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* (* -2 J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (* -2 J) in K * [misc]taylor: Taking taylor expansion of -2 in K * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 J) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (* 2 J) 1) into (* 2 J) * [misc]backup-simplify: Simplify (/ U (* 2 J)) into (* 1/2 (/ U J)) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U J))) into (log (* 1/2 (/ U J))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ U J)))) into (* 2 (log (* 1/2 (/ U J)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ U J))))) into (pow (* 1/2 (/ U J)) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ U J)) 2)) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ U J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ U J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ U J))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of (* (* -2 J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (* -2 J) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 J) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* 0 (cos (* 1/2 K))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U (cos (* 1/2 K))))) into (log (* 1/2 (/ U (cos (* 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) into (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) into (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ U (cos (* 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of (* (* -2 J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (* -2 J) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 J) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* 0 (cos (* 1/2 K))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U (cos (* 1/2 K))))) into (log (* 1/2 (/ U (cos (* 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) into (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) into (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ U (cos (* 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* -2 0) into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* 0 (cos (* 1/2 K))) into 0 * [misc]backup-simplify: Simplify (* 0 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 1) (* 0 0)) into -2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -2 (cos (* 1/2 K)))) into (- (* 2 (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* 0 0) (* (- (* 2 (cos (* 1/2 K)))) (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))))) into (- (* 2 (* (cos (* 1/2 K)) (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1))))) * [misc]taylor: Taking taylor expansion of (- (* 2 (* (cos (* 1/2 K)) (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 K)) (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1))) in K * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ U (cos (* 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (/ U (cos (* 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ U (cos (* 1/2 K))) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (/ U 1) into U * [misc]backup-simplify: Simplify (* 1/2 U) into (* 1/2 U) * [misc]backup-simplify: Simplify (log (* 1/2 U)) into (log (* 1/2 U)) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (log (* 1/2 U)) (- (log J))) into (- (log (* 1/2 U)) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 U)) (log J))) into (* 2 (- (log (* 1/2 U)) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 U)) (log J)))) into (exp (* 2 (- (log (* 1/2 U)) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1) into (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J)))))) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J)))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* U (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 U)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 U) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 U)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 U)) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (* 1 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J))))))) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J)))))) * [misc]backup-simplify: Simplify (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J))))))) into (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J))))))) * [misc]backup-simplify: Simplify (- (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J)))))))) into (- (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J)))))))) * [misc]taylor: Taking taylor expansion of (- (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J)))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J))))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J)))))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J))))) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 U)) (log J)))) in U * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 U)) (log J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 U)) (log J)) in U * [misc]taylor: Taking taylor expansion of (log (* 1/2 U)) in U * [misc]taylor: Taking taylor expansion of (* 1/2 U) in U * [misc]taylor: Taking taylor expansion of 1/2 in U * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log 1/2)) into (+ (log U) (log 1/2)) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log U) (log 1/2)) (- (log J))) into (- (+ (log U) (log 1/2)) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log U) (log 1/2)) (log J))) into (* 2 (- (+ (log U) (log 1/2)) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) into (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) into (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) into (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log U) (log 1/2)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* 2 (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))))) into (* 2 (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1))) * [misc]backup-simplify: Simplify (- (* 2 (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)))) into (- (* 2 (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))))) * [misc]backup-simplify: Simplify (- (* 2 (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))))) into (- (* 2 (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)))) * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))) (* 0 (/ 0 (* 2 (cos (* 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ U (cos (* 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ U (cos (* 1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -2 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (- (* 2 (cos (* 1/2 K)))) 0) (* 0 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- (* 2 (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)))) (* 1 (* 1 J))) into (* -2 (* (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) J)) * [misc]approximate: Taking taylor expansion of (* (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of -2 in U * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of -2 in K * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ 1/2 K)) U)))) into (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2)) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) * [misc]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)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ 1/2 K)) U))) into (log (/ 1/2 (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))))) into (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) into (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (/ 1/2 K)))) (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 0 (* 2 (cos (/ 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ 1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ 1/2 K)) U))) into (log (/ 1/2 (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))))) into (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) into (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (/ 1/2 K)))) (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 0 (* 2 (cos (/ 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ 1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* -2 1) into -2 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* (* -2 (cos (/ 1/2 K))) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) into (* -2 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) * [misc]taylor: Taking taylor expansion of (* -2 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) in K * [misc]taylor: Taking taylor expansion of -2 in K * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) in K * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (* (cos (/ 1/2 K)) U))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (cos (/ 1/2 K)) U)) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1/2 K)) U) in K * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) U) into (* (cos (/ 1/2 K)) U) * [misc]backup-simplify: Simplify (/ 1/2 (* (cos (/ 1/2 K)) U)) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ 1/2 K)) U))) into (log (/ 1/2 (* (cos (/ 1/2 K)) U))) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) into (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) into (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 U)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (cos (/ 1/2 K)) U)) (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 0 (* (cos (/ 1/2 K)) U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ 1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) into (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) * [misc]backup-simplify: Simplify (* -2 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into (* -2 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) * [misc]taylor: Taking taylor expansion of (* -2 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) in U * [misc]taylor: Taking taylor expansion of -2 in U * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) in U * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in U * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in U * [misc]taylor: Taking taylor expansion of 1/2 in U * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) in U * [misc]taylor: Taking taylor expansion of (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) in U * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (* (cos (/ 1/2 K)) U))) in U * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (cos (/ 1/2 K)) U)) in U * [misc]taylor: Taking taylor expansion of 1/2 in U * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1/2 K)) U) in U * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in U * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in U * [misc]taylor: Taking taylor expansion of 1/2 in U * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 1) (* 0 0)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (/ 1/2 (cos (/ 1/2 K))))) into (- (log (/ 1/2 (cos (/ 1/2 K)))) (log U)) * [misc]backup-simplify: Simplify (+ (- (log (/ 1/2 (cos (/ 1/2 K)))) (log U)) (log J)) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) into (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) into (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (* -2 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into (* -2 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) * [misc]backup-simplify: Simplify (* -2 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into (* -2 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -2 (cos (/ 1/2 K))) 0) (* 0 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (/ 1/2 K)))) (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 0 (* 2 (cos (/ 1/2 K))))) (* 0 (/ 0 (* 2 (cos (/ 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (* (cos (/ 1/2 K)) U)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (* (cos (/ 1/2 K)) U)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -2 (cos (/ 1/2 K))) 0) (+ (* 0 0) (* 0 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 U))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (cos (/ 1/2 K)) U)) (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 0 (* (cos (/ 1/2 K)) U))) (* 0 (/ 0 (* (cos (/ 1/2 K)) U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (* (cos (/ 1/2 K)) U)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (* (cos (/ 1/2 K)) U)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow J 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow J 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -2 (* (cos (/ 1/2 (/ 1 K))) (sqrt (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (/ 1/2 (/ 1 K)))))) (log (/ 1 U))))) 1)))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))))))) * [misc]approximate: Taking taylor expansion of (* (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of -2 in U * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of -2 in K * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2)) into (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ -1/2 K)) U))) into (log (/ 1/2 (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) into (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) into (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (cos (/ -1/2 K)))) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* -2 (cos (/ -1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ -1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ -1/2 K)) U))) into (log (/ 1/2 (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) into (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) into (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (cos (/ -1/2 K)))) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* -2 (cos (/ -1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ -1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (* -2 -1) into 2 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* (* 2 (cos (/ -1/2 K))) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) into (* 2 (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) * [misc]taylor: Taking taylor expansion of (* 2 (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) in K * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in K * [misc]taylor: Taking taylor expansion of -1/2 in K * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (* (cos (/ -1/2 K)) U))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (cos (/ -1/2 K)) U)) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in K * [misc]taylor: Taking taylor expansion of -1/2 in K * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) * [misc]backup-simplify: Simplify (/ 1/2 (* (cos (/ -1/2 K)) U)) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ -1/2 K)) U))) into (log (/ 1/2 (* (cos (/ -1/2 K)) U))) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) into (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) into (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ -1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) into (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) * [misc]backup-simplify: Simplify (* 2 (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into (* 2 (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) * [misc]taylor: Taking taylor expansion of (* 2 (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) in U * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in U * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in U * [misc]taylor: Taking taylor expansion of -1/2 in U * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ -1/2 K) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) in U * [misc]taylor: Taking taylor expansion of (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) in U * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (* (cos (/ -1/2 K)) U))) in U * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (cos (/ -1/2 K)) U)) in U * [misc]taylor: Taking taylor expansion of 1/2 in U * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in U * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in U * [misc]taylor: Taking taylor expansion of -1/2 in U * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ -1/2 K) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (/ 1/2 (cos (/ -1/2 K))))) into (- (log (/ 1/2 (cos (/ -1/2 K)))) (log U)) * [misc]backup-simplify: Simplify (+ (- (log (/ 1/2 (cos (/ -1/2 K)))) (log U)) (log J)) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))) into (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) into (* (cos (/ -1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) * [misc]backup-simplify: Simplify (* 2 (* (cos (/ -1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into (* 2 (* (cos (/ -1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) * [misc]backup-simplify: Simplify (* 2 (* (cos (/ -1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into (* 2 (* (cos (/ -1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (cos (/ -1/2 K))) 0) (* 0 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* (cos (/ -1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))) (* 0 (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (cos (/ -1/2 K)))) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* -2 (cos (/ -1/2 K))))) (* 0 (/ 0 (* -2 (cos (/ -1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (* (cos (/ -1/2 K)) U)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (* (cos (/ -1/2 K)) U)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (cos (/ -1/2 K))) 0) (+ (* 0 0) (* 0 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 U))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))) (* 0 (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (* (cos (/ -1/2 K)) U)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (* (cos (/ -1/2 K)) U)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow J 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow J 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 2 (* (cos (/ -1/2 (/ 1 (- K)))) (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- J)))) (log (/ 1 (- U)))))) 1)))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 (* (sqrt (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))))) (* (cos (* 1/2 K)) J))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (log (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 4 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (exp (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (exp (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 5 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [enter]simplify: Simplifying (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 6 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * [exit]simplify: Simplified to (* (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (* (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 7 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (328 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * [enter]simplify: Simplifying (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 8 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 9 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) * [exit]simplify: Simplified to (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) * * * * [misc]progress: [ 10 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (pow (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 3))) * [exit]simplify: Simplified to (sqrt (+ 1 (pow (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 3))) * [enter]simplify: Simplifying (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (337 enodes) * [exit]simplify: Simplified to (sqrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) * [exit]simplify: Simplified to (sqrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * * * [misc]progress: [ 11 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)))) * [exit]simplify: Simplified to (sqrt (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)))) * [enter]simplify: Simplifying (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (484 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [exit]simplify: Simplified to (sqrt (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * * * [misc]progress: [ 12 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 13 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (log (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 18 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (exp (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (exp (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 19 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [enter]simplify: Simplifying (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 20 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * [exit]simplify: Simplified to (* (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (* (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 21 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (328 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * [enter]simplify: Simplifying (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 22 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 23 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) * [exit]simplify: Simplified to (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) * * * * [misc]progress: [ 24 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (pow (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 3))) * [exit]simplify: Simplified to (sqrt (+ 1 (pow (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 3))) * [enter]simplify: Simplifying (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (337 enodes) * [exit]simplify: Simplified to (sqrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) * [exit]simplify: Simplified to (sqrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * * * [misc]progress: [ 25 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)))) * [exit]simplify: Simplified to (sqrt (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)))) * [enter]simplify: Simplifying (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (484 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [exit]simplify: Simplified to (sqrt (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * * * [misc]progress: [ 26 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 27 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (log (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 32 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (exp (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (exp (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 33 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [enter]simplify: Simplifying (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 34 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * [exit]simplify: Simplified to (* (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (* (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 35 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (328 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * [enter]simplify: Simplifying (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 36 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 37 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) * [exit]simplify: Simplified to (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) * * * * [misc]progress: [ 38 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (pow (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 3))) * [exit]simplify: Simplified to (sqrt (+ 1 (pow (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 3))) * [enter]simplify: Simplifying (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (337 enodes) * [exit]simplify: Simplified to (sqrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) * [exit]simplify: Simplified to (sqrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * * * [misc]progress: [ 39 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)))) * [exit]simplify: Simplified to (sqrt (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)))) * [enter]simplify: Simplifying (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (484 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [exit]simplify: Simplified to (sqrt (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * * * [misc]progress: [ 40 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 41 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (391 enodes) * [exit]simplify: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 44 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (391 enodes) * [exit]simplify: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 45 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (* -2 J)) (log (cos (/ K 2)))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (404 enodes) * [exit]simplify: Simplified to (+ (+ (log (cos (/ K 2))) (log (* J -2))) (log (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (+ (+ (log (cos (/ K 2))) (log (* J -2))) (log (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 47 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (* -2 J) (cos (/ K 2)))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (401 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) (log (* (* J -2) (cos (/ K 2))))) * [exit]simplify: Simplified to (+ (log (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) (log (* (* J -2) (cos (/ K 2))))) * * * * [misc]progress: [ 48 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (471 enodes) * [exit]simplify: Simplified to (log (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (log (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 49 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (407 enodes) * [exit]simplify: Simplified to (pow (pow (exp (* J -2)) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (pow (pow (exp (* J -2)) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 50 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (cos (/ K 2)) (pow (* J -2) 3)) (* (cos (/ K 2)) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (* (cos (/ K 2)) (pow (* J -2) 3)) (* (cos (/ K 2)) (cos (/ K 2))))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (* (+ (* (* (* (cos (/ K 2)) (pow (* J -2) 3)) (* (cos (/ K 2)) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (* (cos (/ K 2)) (pow (* J -2) 3)) (* (cos (/ K 2)) (cos (/ K 2))))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 51 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* -2 J) (cos (/ K 2))) (* (* -2 J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * [exit]simplify: Simplified to (* (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (pow (* (* J -2) (cos (/ K 2))) 3)) (pow (* (* J -2) (cos (/ K 2))) 3)) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (* (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (pow (* (* J -2) (cos (/ K 2))) 3)) (pow (* (* J -2) (cos (/ K 2))) 3)) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 52 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (390 enodes) * [exit]simplify: Simplified to (* (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))) * [exit]simplify: Simplified to (* (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))) * [enter]simplify: Simplifying (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 53 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (430 enodes) * [exit]simplify: Simplified to (* (* (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (pow (* (* J -2) (cos (/ K 2))) 3)) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (* (* (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (pow (* (* J -2) (cos (/ K 2))) 3)) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 54 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (sqrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * [enter]simplify: Simplifying (sqrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (sqrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 55 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (478 enodes) * [exit]simplify: Simplified to (* (* (* (* J -2) (cos (/ K 2))) (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (* (* (* (* J -2) (cos (/ K 2))) (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 57 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (394 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2)))) * [exit]simplify: Simplified to (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2)))) * * * * [misc]progress: [ 58 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 59 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * [exit]simplify: Simplified to (* (* (sqrt 1) (* J -2)) (cos (/ K 2))) * [exit]simplify: Simplified to (* (* (sqrt 1) (* J -2)) (cos (/ K 2))) * * * * [misc]progress: [ 60 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 61 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (* (cos (/ K 2)) (* J -2)) * [exit]simplify: Simplified to (* (cos (/ K 2)) (* J -2)) * * * * [misc]progress: [ 62 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (326 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cos (/ K 2))) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cos (/ K 2))) * * * * [misc]progress: [ 63 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (261 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (pow (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 3))) (* (* J -2) (cos (/ K 2)))) * [exit]simplify: Simplified to (* (sqrt (+ 1 (pow (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 3))) (* (* J -2) (cos (/ K 2)))) * * * * [misc]progress: [ 64 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (250 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)))) (* (* J -2) (cos (/ K 2)))) * [exit]simplify: Simplified to (* (sqrt (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)))) (* (* J -2) (cos (/ K 2)))) * * * * [misc]progress: [ 65 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (309 enodes) * [exit]simplify: Simplified to (* (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) (* (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ 1 (* (/ (* 1/2 U) J) (/ (* 1/2 U) J)))))) (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))))) * * * * [misc]progress: [ 67 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U)))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * * [misc]simplify: iters left: 3 (484 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ 1 (* (* (/ 1/2 (cos (* K 1/2))) (* U (/ 1 J))) (* (/ 1/2 (cos (* K 1/2))) (* U (/ 1 J)))))) (* (* J -2) (cos (/ K 2))))) (* (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))))) * * * * [misc]progress: [ 68 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U)))))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (175 enodes) * * [misc]simplify: iters left: 3 (481 enodes) * [exit]simplify: Simplified to (* (* (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))))) (cbrt (* (sqrt (+ (* (* (/ (/ -1 J) (/ -1 U)) (/ 1/2 (cos (* 1/2 K)))) (* (/ (/ -1 J) (/ -1 U)) (/ 1/2 (cos (* 1/2 K))))) 1)) (* (* J -2) (cos (/ K 2)))))) * * * * [misc]progress: [ 69 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (308 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (* (* U (/ 1/2 J)) (* U (/ 1/2 J))) 1)) (* (* J -2) (cos (/ K 2))))) (* (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))))) * * * * [misc]progress: [ 70 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U)))))))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * * [misc]simplify: iters left: 3 (486 enodes) * [exit]simplify: Simplified to (* (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ 1 (* (* (* (/ 1 J) U) (/ 1/2 (cos (* 1/2 K)))) (* (* (/ 1 J) U) (/ 1/2 (cos (* 1/2 K))))))))) (* (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))))) * * * * [misc]progress: [ 71 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U)))))))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (174 enodes) * * [misc]simplify: iters left: 3 (481 enodes) * [exit]simplify: Simplified to (* (* (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))) (cbrt (* (sqrt (+ 1 (* (* (/ (/ -1 J) (/ -1 U)) (/ 1/2 (cos (* K 1/2)))) (* (/ (/ -1 J) (/ -1 U)) (/ 1/2 (cos (* K 1/2))))))) (* (* J -2) (cos (/ K 2)))))) * * * * [misc]progress: [ 72 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (308 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* J -2) (cos (/ K 2))))) (* (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (* 1/2 U) J) (/ (* 1/2 U) J)) 1)))) (cbrt (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (* J -2) (cos (/ K 2))))))) * * * * [misc]progress: [ 73 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * * [misc]simplify: iters left: 3 (481 enodes) * [exit]simplify: Simplified to (* (* (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))) (cbrt (* (sqrt (+ 1 (* (* (* (/ 1 J) U) (/ 1/2 (cos (* K 1/2)))) (* (* (/ 1 J) U) (/ 1/2 (cos (* K 1/2))))))) (* (* J -2) (cos (/ K 2)))))) * * * * [misc]progress: [ 74 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (175 enodes) * * [misc]simplify: iters left: 3 (485 enodes) * [exit]simplify: Simplified to (* (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (* (/ 1/2 (cos (* 1/2 K))) (/ (/ -1 J) (/ -1 U))) (* (/ 1/2 (cos (* 1/2 K))) (/ (/ -1 J) (/ -1 U)))) 1)))) (* (cbrt (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* J -2) (cos (/ K 2))))) (cbrt (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* J -2) (cos (/ K 2))))))) * * * * [misc]progress: [ 75 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (* -2 (* (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) J)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (277 enodes) * [exit]simplify: Simplified to (* (* (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))) (cbrt (* (sqrt (+ 1 (* (* U (/ 1/2 J)) (* U (/ 1/2 J))))) (* J -2)))) * * * * [misc]progress: [ 76 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * * [misc]simplify: iters left: 3 (492 enodes) * [exit]simplify: Simplified to (* (* (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))))) (cbrt (* (sqrt (+ (* (* (* (/ 1 J) U) (/ 1/2 (cos (* 1/2 K)))) (* (* (/ 1 J) U) (/ 1/2 (cos (* 1/2 K))))) 1)) (* (* J -2) (cos (* 1/2 K)))))) * * * * [misc]progress: [ 77 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (* -2 (* (sqrt (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))))) (* (cos (* 1/2 K)) J))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * * [misc]simplify: iters left: 3 (489 enodes) * [exit]simplify: Simplified to (* (* (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))))) (cbrt (* (* (cos (* 1/2 K)) (* J -2)) (sqrt (+ (* (* (/ (/ -1 J) (/ -1 U)) (/ 1/2 (cos (* 1/2 K)))) (* (/ (/ -1 J) (/ -1 U)) (/ 1/2 (cos (* 1/2 K))))) 1))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 1 2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1 1 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 2 1 2) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 J) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (* 2 J) 1) into (* 2 J) * [misc]backup-simplify: Simplify (/ U (* 2 J)) into (* 1/2 (/ U J)) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U J))) into (log (* 1/2 (/ U J))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ U J)))) into (* 2 (log (* 1/2 (/ U J)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ U J))))) into (pow (* 1/2 (/ U J)) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ U J)) 2)) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ U J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ U J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ U J))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 J) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* 0 (cos (* 1/2 K))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U (cos (* 1/2 K))))) into (log (* 1/2 (/ U (cos (* 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) into (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) into (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ U (cos (* 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (* 1/2 K)) J))) into (log (/ 1/2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) into (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (* 1/2 K)) J))) into (log (/ 1/2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) into (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) in J * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (* (cos (* 1/2 K)) J))) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (* 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 1/2 K) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 K)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (* 1/2 K))) into (/ 1/2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (* 1/2 K)))) into (log (/ 1/2 (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (/ 1/2 (cos (* 1/2 K))))) into (- (log (/ 1/2 (cos (* 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (log U) (- (log (/ 1/2 (cos (* 1/2 K)))) (log J))) into (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) into (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) into (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (* 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)) in K * [misc]taylor: Taking taylor expansion of (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (* 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (* 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (+ (log U) (log 1/2)) into (+ (log U) (log 1/2)) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log U) (log 1/2)) (- (log J))) into (- (+ (log U) (log 1/2)) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log U) (log 1/2)) (log J))) into (* 2 (- (+ (log U) (log 1/2)) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) into (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) into (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) into (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log U) (log 1/2)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) into (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (* 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (* 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) into (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ 1/2 K)) U)))) into (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2)) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) * [misc]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)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ 1/2 K)) U))) into (log (/ 1/2 (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))))) into (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) into (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (/ 1/2 K)))) (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 0 (* 2 (cos (/ 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ 1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) in J * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) in J * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ J (cos (/ 1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) in K * [misc]taylor: Taking taylor expansion of (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (/ 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) into (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))) (* 0 (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (/ 1/2 (/ 1 K)))))) (log (/ 1 U))))) 1)) into (sqrt (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))))) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2)) into (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ -1/2 K)) U))) into (log (/ 1/2 (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) into (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) into (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (cos (/ -1/2 K)))) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* -2 (cos (/ -1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ -1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) in J * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) in J * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ J (cos (/ -1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in J * [misc]taylor: Taking taylor expansion of -1/2 in J * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ -1/2 K) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ -1/2 K))))) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) into (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) in K * [misc]taylor: Taking taylor expansion of (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (/ -1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in K * [misc]taylor: Taking taylor expansion of -1/2 in K * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) into (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ -1 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))) (* 0 (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- J)))) (log (/ 1 (- U)))))) 1)) into (sqrt (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 1 2 1 2) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 J) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (* 2 J) 1) into (* 2 J) * [misc]backup-simplify: Simplify (/ U (* 2 J)) into (* 1/2 (/ U J)) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U J))) into (log (* 1/2 (/ U J))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ U J)))) into (* 2 (log (* 1/2 (/ U J)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ U J))))) into (pow (* 1/2 (/ U J)) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ U J)) 2)) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ U J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ U J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ U J))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 J) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* 0 (cos (* 1/2 K))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U (cos (* 1/2 K))))) into (log (* 1/2 (/ U (cos (* 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) into (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) into (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ U (cos (* 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (* 1/2 K)) J))) into (log (/ 1/2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) into (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (* 1/2 K)) J))) into (log (/ 1/2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) into (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) in J * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (* (cos (* 1/2 K)) J))) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (* 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 1/2 K) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 K)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (* 1/2 K))) into (/ 1/2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (* 1/2 K)))) into (log (/ 1/2 (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (/ 1/2 (cos (* 1/2 K))))) into (- (log (/ 1/2 (cos (* 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (log U) (- (log (/ 1/2 (cos (* 1/2 K)))) (log J))) into (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) into (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) into (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (* 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)) in K * [misc]taylor: Taking taylor expansion of (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (* 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (* 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (+ (log U) (log 1/2)) into (+ (log U) (log 1/2)) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log U) (log 1/2)) (- (log J))) into (- (+ (log U) (log 1/2)) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log U) (log 1/2)) (log J))) into (* 2 (- (+ (log U) (log 1/2)) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) into (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) into (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) into (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log U) (log 1/2)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) into (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (* 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (* 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) into (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ 1/2 K)) U)))) into (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2)) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) * [misc]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)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ 1/2 K)) U))) into (log (/ 1/2 (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))))) into (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) into (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (/ 1/2 K)))) (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 0 (* 2 (cos (/ 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ 1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) in J * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) in J * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ J (cos (/ 1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) in K * [misc]taylor: Taking taylor expansion of (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (/ 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) into (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))) (* 0 (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (/ 1/2 (/ 1 K)))))) (log (/ 1 U))))) 1)) into (sqrt (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))))) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2)) into (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ -1/2 K)) U))) into (log (/ 1/2 (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) into (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) into (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (cos (/ -1/2 K)))) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* -2 (cos (/ -1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ -1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) in J * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) in J * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ J (cos (/ -1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in J * [misc]taylor: Taking taylor expansion of -1/2 in J * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ -1/2 K) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ -1/2 K))))) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) into (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) in K * [misc]taylor: Taking taylor expansion of (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (/ -1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in K * [misc]taylor: Taking taylor expansion of -1/2 in K * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) into (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ -1 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))) (* 0 (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- J)))) (log (/ 1 (- U)))))) 1)) into (sqrt (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1 1 1 2) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 J) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (* 2 J) 1) into (* 2 J) * [misc]backup-simplify: Simplify (/ U (* 2 J)) into (* 1/2 (/ U J)) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U J))) into (log (* 1/2 (/ U J))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ U J)))) into (* 2 (log (* 1/2 (/ U J)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ U J))))) into (pow (* 1/2 (/ U J)) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ U J)) 2)) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ U J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ U J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ U J))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 J) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* 0 (cos (* 1/2 K))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U (cos (* 1/2 K))))) into (log (* 1/2 (/ U (cos (* 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) into (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) into (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ U (cos (* 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (* 1/2 K)) J))) into (log (/ 1/2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) into (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (* 1/2 K)) J))) into (log (/ 1/2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) into (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) in J * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (* (cos (* 1/2 K)) J))) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (* 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 1/2 K) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 K)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (* 1/2 K))) into (/ 1/2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (* 1/2 K)))) into (log (/ 1/2 (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (/ 1/2 (cos (* 1/2 K))))) into (- (log (/ 1/2 (cos (* 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (log U) (- (log (/ 1/2 (cos (* 1/2 K)))) (log J))) into (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) into (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) into (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (* 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)) in K * [misc]taylor: Taking taylor expansion of (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (* 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (* 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (+ (log U) (log 1/2)) into (+ (log U) (log 1/2)) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log U) (log 1/2)) (- (log J))) into (- (+ (log U) (log 1/2)) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log U) (log 1/2)) (log J))) into (* 2 (- (+ (log U) (log 1/2)) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) into (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) into (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) into (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log U) (log 1/2)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) into (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (* 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (* 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) into (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ 1/2 K)) U)))) into (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2)) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) * [misc]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)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ 1/2 K)) U))) into (log (/ 1/2 (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))))) into (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) into (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (/ 1/2 K)))) (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 0 (* 2 (cos (/ 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ 1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) in J * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) in J * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ J (cos (/ 1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) in K * [misc]taylor: Taking taylor expansion of (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (/ 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) into (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))) (* 0 (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (/ 1/2 (/ 1 K)))))) (log (/ 1 U))))) 1)) into (sqrt (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))))) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2)) into (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ -1/2 K)) U))) into (log (/ 1/2 (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) into (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) into (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (cos (/ -1/2 K)))) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* -2 (cos (/ -1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ -1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) in J * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) in J * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ J (cos (/ -1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in J * [misc]taylor: Taking taylor expansion of -1/2 in J * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ -1/2 K) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ -1/2 K))))) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) into (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) in K * [misc]taylor: Taking taylor expansion of (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (/ -1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in K * [misc]taylor: Taking taylor expansion of -1/2 in K * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) into (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ -1 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))) (* 0 (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- J)))) (log (/ 1 (- U)))))) 1)) into (sqrt (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2 1 2) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 J) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (* 2 J) 1) into (* 2 J) * [misc]backup-simplify: Simplify (/ U (* 2 J)) into (* 1/2 (/ U J)) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U J))) into (log (* 1/2 (/ U J))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ U J)))) into (* 2 (log (* 1/2 (/ U J)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ U J))))) into (pow (* 1/2 (/ U J)) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ U J)) 2)) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ U J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ U J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ U J))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 J) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* 0 (cos (* 1/2 K))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U (cos (* 1/2 K))))) into (log (* 1/2 (/ U (cos (* 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) into (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) into (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ U (cos (* 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (* 1/2 K)) J))) into (log (/ 1/2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) into (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (* 1/2 K)) J))) into (log (/ 1/2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) into (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) in J * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (* (cos (* 1/2 K)) J))) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (* 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 1/2 K) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 K)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (* 1/2 K))) into (/ 1/2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (* 1/2 K)))) into (log (/ 1/2 (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (/ 1/2 (cos (* 1/2 K))))) into (- (log (/ 1/2 (cos (* 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (log U) (- (log (/ 1/2 (cos (* 1/2 K)))) (log J))) into (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) into (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) into (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (* 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)) in K * [misc]taylor: Taking taylor expansion of (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (* 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (* 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (+ (log U) (log 1/2)) into (+ (log U) (log 1/2)) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log U) (log 1/2)) (- (log J))) into (- (+ (log U) (log 1/2)) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log U) (log 1/2)) (log J))) into (* 2 (- (+ (log U) (log 1/2)) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) into (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) into (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) into (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log U) (log 1/2)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) into (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (* 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (* 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) into (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ 1/2 K)) U)))) into (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2)) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) * [misc]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)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ 1/2 K)) U))) into (log (/ 1/2 (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))))) into (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) into (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (/ 1/2 K)))) (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 0 (* 2 (cos (/ 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ 1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) in J * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) in J * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ J (cos (/ 1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) in K * [misc]taylor: Taking taylor expansion of (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (/ 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) into (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))) (* 0 (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (/ 1/2 (/ 1 K)))))) (log (/ 1 U))))) 1)) into (sqrt (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))))) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2)) into (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ -1/2 K)) U))) into (log (/ 1/2 (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) into (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) into (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (cos (/ -1/2 K)))) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* -2 (cos (/ -1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ -1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) in J * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) in J * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ J (cos (/ -1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in J * [misc]taylor: Taking taylor expansion of -1/2 in J * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ -1/2 K) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ -1/2 K))))) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) into (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) in K * [misc]taylor: Taking taylor expansion of (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (/ -1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in K * [misc]taylor: Taking taylor expansion of -1/2 in K * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) into (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ -1 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))) (* 0 (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- J)))) (log (/ 1 (- U)))))) 1)) into (sqrt (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (log (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 4 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (exp (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (exp (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 5 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [enter]simplify: Simplifying (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 6 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * [exit]simplify: Simplified to (* (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (* (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 7 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (328 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * [enter]simplify: Simplifying (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 8 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 9 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) * [exit]simplify: Simplified to (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) * * * * [misc]progress: [ 10 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (pow (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 3))) * [exit]simplify: Simplified to (sqrt (+ 1 (pow (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 3))) * [enter]simplify: Simplifying (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (337 enodes) * [exit]simplify: Simplified to (sqrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) * [exit]simplify: Simplified to (sqrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * * * [misc]progress: [ 11 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)))) * [exit]simplify: Simplified to (sqrt (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)))) * [enter]simplify: Simplifying (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (484 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [exit]simplify: Simplified to (sqrt (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * * * [misc]progress: [ 12 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 13 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (log (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 18 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (exp (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (exp (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 19 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [enter]simplify: Simplifying (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 20 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * [exit]simplify: Simplified to (* (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (* (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 21 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (328 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * [enter]simplify: Simplifying (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 22 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 23 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) * [exit]simplify: Simplified to (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) * * * * [misc]progress: [ 24 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (pow (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 3))) * [exit]simplify: Simplified to (sqrt (+ 1 (pow (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 3))) * [enter]simplify: Simplifying (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (337 enodes) * [exit]simplify: Simplified to (sqrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) * [exit]simplify: Simplified to (sqrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * * * [misc]progress: [ 25 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)))) * [exit]simplify: Simplified to (sqrt (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)))) * [enter]simplify: Simplifying (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (484 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [exit]simplify: Simplified to (sqrt (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * * * [misc]progress: [ 26 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 27 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (log (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 32 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (exp (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (exp (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 33 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [enter]simplify: Simplifying (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 34 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * [exit]simplify: Simplified to (* (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (* (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 35 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (328 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * [enter]simplify: Simplifying (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 36 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 37 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) * [exit]simplify: Simplified to (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) * * * * [misc]progress: [ 38 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (pow (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 3))) * [exit]simplify: Simplified to (sqrt (+ 1 (pow (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 3))) * [enter]simplify: Simplifying (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (337 enodes) * [exit]simplify: Simplified to (sqrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) * [exit]simplify: Simplified to (sqrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * * * [misc]progress: [ 39 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)))) * [exit]simplify: Simplified to (sqrt (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)))) * [enter]simplify: Simplifying (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (484 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [exit]simplify: Simplified to (sqrt (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * * * [misc]progress: [ 40 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 41 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (log (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 46 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (exp (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (exp (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 47 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [enter]simplify: Simplifying (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 48 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * [exit]simplify: Simplified to (* (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (* (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 49 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (328 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * [enter]simplify: Simplifying (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 50 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 51 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) * [exit]simplify: Simplified to (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) * * * * [misc]progress: [ 52 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (pow (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 3))) * [exit]simplify: Simplified to (sqrt (+ 1 (pow (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 3))) * [enter]simplify: Simplifying (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (337 enodes) * [exit]simplify: Simplified to (sqrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) * [exit]simplify: Simplified to (sqrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * * * [misc]progress: [ 53 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)))) * [exit]simplify: Simplified to (sqrt (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)))) * [enter]simplify: Simplifying (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (484 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [exit]simplify: Simplified to (sqrt (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * * * [misc]progress: [ 54 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 55 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (* (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * * [misc]simplify: iters left: 3 (315 enodes) * [exit]simplify: Simplified to (* (* (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))) (cbrt (* (* (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ 1 (* (* 1/2 (/ U J)) (* 1/2 (/ U J))))))) (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))) (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))))) * * * * [misc]progress: [ 58 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (* (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U)))))))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * * [misc]simplify: iters left: 3 (491 enodes) * [exit]simplify: Simplified to (* (* (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))) (cbrt (* (cbrt (* (sqrt (+ 1 (* (* (* (/ 1 J) U) (/ 1/2 (cos (* K 1/2)))) (* (* (/ 1 J) U) (/ 1/2 (cos (* K 1/2))))))) (* (* J -2) (cos (/ K 2))))) (* (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))))))) * * * * [misc]progress: [ 59 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (* (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U)))))))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * * [misc]simplify: iters left: 3 (490 enodes) * [exit]simplify: Simplified to (* (* (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))))) (cbrt (* (* (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))))) (cbrt (* (sqrt (+ (* (* (/ (/ -1 J) (/ -1 U)) (/ 1/2 (cos (* 1/2 K)))) (* (/ (/ -1 J) (/ -1 U)) (/ 1/2 (cos (* 1/2 K))))) 1)) (* (* J -2) (cos (/ K 2)))))))) * * * * [misc]progress: [ 60 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (* (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (313 enodes) * [exit]simplify: Simplified to (* (* (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))))) (cbrt (* (* (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ 1 (* (* (/ U J) 1/2) (* (/ U J) 1/2)))))) (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))))) (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))))))) * * * * [misc]progress: [ 61 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (* (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U)))))))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * * [misc]simplify: iters left: 3 (491 enodes) * [exit]simplify: Simplified to (* (* (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))))) (cbrt (* (cbrt (* (sqrt (+ 1 (* (* (* (/ 1 J) U) (/ 1/2 (cos (* K 1/2)))) (* (* (/ 1 J) U) (/ 1/2 (cos (* K 1/2))))))) (* (* J -2) (cos (/ K 2))))) (* (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))))))) * * * * [misc]progress: [ 62 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (* (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U)))))))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * * [misc]simplify: iters left: 3 (489 enodes) * [exit]simplify: Simplified to (* (cbrt (* (* (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))))) (cbrt (* (sqrt (+ (* (* (/ (/ -1 J) (/ -1 U)) (/ 1/2 (cos (* 1/2 K)))) (* (/ (/ -1 J) (/ -1 U)) (/ 1/2 (cos (* 1/2 K))))) 1)) (* (* J -2) (cos (/ K 2))))))) (* (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))))) * * * * [misc]progress: [ 63 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (* (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * * [misc]simplify: iters left: 3 (314 enodes) * [exit]simplify: Simplified to (* (* (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))) (cbrt (* (* (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ 1 (* (/ (* U 1/2) J) (/ (* U 1/2) J)))))) (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))) (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))))) * * * * [misc]progress: [ 64 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (* (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * * [misc]simplify: iters left: 3 (489 enodes) * [exit]simplify: Simplified to (* (* (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))) (cbrt (* (cbrt (* (sqrt (+ 1 (* (* (/ 1/2 (cos (* K 1/2))) (* (/ 1 J) U)) (* (/ 1/2 (cos (* K 1/2))) (* (/ 1 J) U))))) (* (* J -2) (cos (/ K 2))))) (* (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))))))) * * * * [misc]progress: [ 65 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (* (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * * [misc]simplify: iters left: 3 (489 enodes) * [exit]simplify: Simplified to (* (cbrt (* (* (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))))) (cbrt (* (sqrt (+ (* (* (/ (/ -1 J) (/ -1 U)) (/ 1/2 (cos (* 1/2 K)))) (* (/ (/ -1 J) (/ -1 U)) (/ 1/2 (cos (* 1/2 K))))) 1)) (* (* J -2) (cos (/ K 2))))))) (* (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))))) * * * * [misc]progress: [ 66 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1))))) (cbrt (* (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * * [misc]simplify: iters left: 3 (322 enodes) * [exit]simplify: Simplified to (* (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (* (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (cbrt (* (sqrt (+ (* (/ (* U 1/2) J) (/ (* U 1/2) J)) 1)) (* (* J -2) (cos (/ K 2))))))) * * * * [misc]progress: [ 67 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U)))))))))) (cbrt (* (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * * [misc]simplify: iters left: 3 (499 enodes) * [exit]simplify: Simplified to (* (* (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))) (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ 1 (* (* (/ 1/2 (cos (* 1/2 K))) (* U (/ 1 J))) (* (/ 1/2 (cos (* 1/2 K))) (* U (/ 1 J))))))))) * * * * [misc]progress: [ 68 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U)))))))))) (cbrt (* (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * * [misc]simplify: iters left: 3 (497 enodes) * [exit]simplify: Simplified to (* (* (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))))) (cbrt (* (sqrt (+ 1 (* (* (/ (/ -1 J) (/ -1 U)) (/ 1/2 (cos (* K 1/2)))) (* (/ (/ -1 J) (/ -1 U)) (/ 1/2 (cos (* K 1/2))))))) (* (* J -2) (cos (/ K 2)))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (cos (/ K 2)) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * [exit]simplify: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (pow (/ U (* (* J 2) (cos (/ K 2)))) 2) 1))) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 1 have 7997 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8001 points with exact outputs