* [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 (295 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) * * * [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) * [misc]approximate: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in (U J K) around 0 * [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]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]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]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]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]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 1/2 into 1/2 * [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]taylor: Taking taylor expansion of 0 in J * [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 (+ (* 1/2 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]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 1) (+ (* 1/2 (/ 0 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]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 (* -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]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 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/16 * [misc]backup-simplify: Simplify 1/16 into 1/16 * [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 0) (* 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (+ (* 0 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)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) 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 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 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 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)))) (* 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/16 (* (pow K 2) (* (/ 1 J) U))) (* 1/2 (* 1 (* (/ 1 J) U)))) into (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))) * [misc]approximate: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in (U J K) around 0 * [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]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]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]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]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]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 (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) * [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]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]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 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]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]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 (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* J (cos (* 1/2 K))))) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in (U J K) around 0 * [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]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]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]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]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]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 (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) * [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]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]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 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]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]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 (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* J (cos (* 1/2 K))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 75 ] 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 (256 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (* (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) * * * * [misc]progress: [ 8 / 75 ] 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 (243 enodes) * [exit]simplify: Simplified to (pow (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* 1/2 1/2)) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (* (pow (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* 1/2 1/2)) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) * * * * [misc]progress: [ 9 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (* (sqrt 1) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 10 / 75 ] 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 (267 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 3 2)))) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (/ (sqrt (+ 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 3 2)))) (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]progress: [ 11 / 75 ] 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 (264 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 2 2)))) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (/ (sqrt (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 2 2)))) (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 12 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 75 ] simplifiying candidate # * [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 (229 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (fabs (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))))) * * * * [misc]progress: [ 14 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 75 ] 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 (295 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]simplify: Simplified (2 1) to (λ (J K U) (pow (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) 1)) * * * * [misc]progress: [ 16 / 75 ] 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 (295 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]simplify: Simplified (2 1) to (λ (J K U) (pow (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) 1)) * * * * [misc]progress: [ 17 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 75 ] 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 (353 enodes) * [exit]simplify: Simplified to (log (* (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) (* (cos (/ K 2)) (* J -2)))) * [misc]simplify: Simplified (2 1) to (λ (J K U) (exp (log (* (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) (* (cos (/ K 2)) (* J -2)))))) * * * * [misc]progress: [ 19 / 75 ] 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 (330 enodes) * [exit]simplify: Simplified to (log (* (* (* J -2) (cos (/ K 2))) (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (J K U) (exp (log (* (* (* J -2) (cos (/ K 2))) (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))))))) * * * * [misc]progress: [ 20 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 75 ] 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 (405 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (+ (pow (* (cos (/ K 2)) (* J -2)) 3) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (pow (* (cos (/ K 2)) (* J -2)) 3)))) * [misc]simplify: Simplified (2 1) to (λ (J K U) (cbrt (* (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (+ (pow (* (cos (/ K 2)) (* J -2)) 3) (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (pow (* (cos (/ K 2)) (* J -2)) 3)))))) * * * * [misc]progress: [ 23 / 75 ] 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 (362 enodes) * [exit]simplify: Simplified to (* (* (* (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2)))) (pow (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (+ 1 1/2))) * [misc]simplify: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2)))) (pow (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (+ 1 1/2))))) * * * * [misc]progress: [ 24 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 75 ] simplifiying candidate # * [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 (242 enodes) * [exit]simplify: Simplified to (pow (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* 1/2 1/3)) * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* (* -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)))))) (pow (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* 1/2 1/3)))) * * * * [misc]progress: [ 29 / 75 ] simplifiying candidate # * [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 (242 enodes) * [exit]simplify: Simplified to (pow (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (* 1/3 1/2)) * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* (* -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)))))) (pow (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (* 1/3 1/2)))) * * * * [misc]progress: [ 30 / 75 ] 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 (243 enodes) * [exit]simplify: Simplified to (pow (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* 1/2 1/2)) * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (pow (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* 1/2 1/2)))) * * * * [misc]progress: [ 31 / 75 ] simplifiying candidate # * [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 (229 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt 1)) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 32 / 75 ] 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 (243 enodes) * [exit]simplify: Simplified to (pow (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* 1/2 1/2)) * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (pow (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* 1/2 1/2)))) * * * * [misc]progress: [ 33 / 75 ] simplifiying candidate # * [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 (229 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) 1) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 34 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 J) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (* J -2) * [misc]simplify: Simplified (2 1) to (λ (J K U) (* (* J -2) (* (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 35 / 75 ] simplifiying candidate # * [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 (310 enodes) * [exit]simplify: Simplified to (sqrt (+ (- (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 2 2)) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))) 1)) * [misc]simplify: Simplified (2 2) to (λ (J K U) (/ (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) (sqrt (+ (- (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 2 2)) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))) 1)))) * * * * [misc]progress: [ 36 / 75 ] simplifiying candidate # * [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 (230 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [misc]simplify: Simplified (2 2) to (λ (J K U) (/ (* (* (* -2 J) (cos (/ K 2))) (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) * * * * [misc]progress: [ 37 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 75 ] 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 (185 enodes) * [exit]simplify: Simplified to (* (log (/ (/ U (* J 2)) (cos (/ K 2)))) 2) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (exp (* (log (/ (/ U (* J 2)) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 39 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (/ U (* (* 2 J) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (156 enodes) * [exit]simplify: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (/ U (* J 2)) (cos (/ K 2))) (* 1 2)))))) * * * * [misc]progress: [ 41 / 75 ] 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 (203 enodes) * [exit]simplify: Simplified to (* (pow (/ (/ U (* J 2)) (cos (/ K 2))) (+ 1/3 1/3)) (pow (/ (/ U (* J 2)) (cos (/ K 2))) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (* (pow (/ (/ U (* J 2)) (cos (/ K 2))) (+ 1/3 1/3)) (pow (/ (/ U (* J 2)) (cos (/ K 2))) (+ 1/3 1/3))) (pow (cbrt (/ U (* (* 2 J) (cos (/ K 2))))) 2)))))) * * * * [misc]progress: [ 42 / 75 ] 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 (186 enodes) * [exit]simplify: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (pow (sqrt (/ U (* (* 2 J) (cos (/ K 2))))) 2)))))) * * * * [misc]progress: [ 43 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 2) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 44 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (pow U 2) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (* U U) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (* U U) (pow (/ 1 (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 45 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (/ K 2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * [exit]simplify: Simplified to (cos (/ K 2)) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2))))) * * * * [misc]progress: [ 64 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (240 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (/ (* 1/2 U) J) (/ (* 1/2 U) J)) 1)) * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* 1/2 U) J) (/ (* 1/2 U) J)) 1)))) * * * * [misc]progress: [ 65 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (354 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U) (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U)) 1)) * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U) (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U)) 1)))) * * * * [misc]progress: [ 66 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (368 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ U -1)) (* (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ U -1))) 1)) * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ U -1)) (* (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ U -1))) 1)))) * * * * [misc]progress: [ 67 / 75 ] 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 (288 enodes) * [exit]simplify: Simplified to (* (* -2 J) (sqrt (+ (* (/ (* U 1/2) J) (/ (* U 1/2) J)) 1))) * [misc]simplify: Simplified (2) to (λ (J K U) (* (* -2 J) (sqrt (+ (* (/ (* U 1/2) J) (/ (* U 1/2) J)) 1)))) * * * * [misc]progress: [ 68 / 75 ] 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 (421 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U) (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U)) 1)) (* (* -2 J) (cos (* K 1/2)))) * [misc]simplify: Simplified (2) to (λ (J K U) (* (sqrt (+ (* (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U) (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U)) 1)) (* (* -2 J) (cos (* K 1/2))))) * * * * [misc]progress: [ 69 / 75 ] 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 (435 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* (* (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ U -1)) (* (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ U -1))))) (* (* (cos (* K 1/2)) J) -2)) * [misc]simplify: Simplified (2) to (λ (J K U) (* (sqrt (+ 1 (* (* (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ U -1)) (* (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ U -1))))) (* (* (cos (* K 1/2)) J) -2))) * * * * [misc]progress: [ 70 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * [exit]simplify: Simplified to (* (/ (* 1/2 U) J) (/ (* 1/2 U) J)) * [misc]simplify: Simplified (2 2 1 2) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (/ (* 1/2 U) J) (/ (* 1/2 U) J)))))) * * * * [misc]progress: [ 71 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (315 enodes) * [exit]simplify: Simplified to (* (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U) (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U)) * [misc]simplify: Simplified (2 2 1 2) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U) (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U)))))) * * * * [misc]progress: [ 72 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (314 enodes) * [exit]simplify: Simplified to (* (/ (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ -1 U)) (/ (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ -1 U))) * [misc]simplify: Simplified (2 2 1 2) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (/ (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ -1 U)) (/ (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ -1 U))))))) * * * * [misc]progress: [ 73 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (230 enodes) * [exit]simplify: Simplified to (+ (* (/ U J) 1/2) (/ (* 1/16 (* K K)) (/ J U))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (+ (* (/ U J) 1/2) (/ (* 1/16 (* K K)) (/ J U))) 2))))) * * * * [misc]progress: [ 74 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (/ U (* J (cos (* 1/2 K))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (150 enodes) * [exit]simplify: Simplified to (/ (* 1/2 (/ U J)) (cos (* K 1/2))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (* 1/2 (/ U J)) (cos (* K 1/2))) 2))))) * * * * [misc]progress: [ 75 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (/ U (* J (cos (* 1/2 K))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (150 enodes) * [exit]simplify: Simplified to (/ (* 1/2 (/ U J)) (cos (* K 1/2))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (* 1/2 (/ U J)) (cos (* K 1/2))) 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 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) * [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) * [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) * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in K * [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]backup-simplify: Simplify (sqrt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) into (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in J * [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 (sqrt (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))))) into (pow (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [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]backup-simplify: Simplify (sqrt (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) into (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [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]backup-simplify: Simplify (sqrt (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) into (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/4) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) into (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) * [misc]backup-simplify: Simplify (* 1/4 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))) into (* 1/4 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/4 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 1/4) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 1/4) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) in K * [misc]taylor: Taking taylor expansion of (* 1/4 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))) in K * [misc]taylor: Taking taylor expansion of 1/4 in K * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) into (log (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) * [misc]backup-simplify: Simplify (* 1/4 (log (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1))) into (* 1/4 (log (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))))) * [misc]backup-simplify: Simplify (exp (* 1/4 (log (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))))) into (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 1/4) * [misc]backup-simplify: Simplify (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 1/4) into (pow (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) 1/4) * [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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) (+ (* (/ (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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (+ 1 (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]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]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/4))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) (+ (* (/ (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 (pow (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) 1/4) into (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 1/4) * [misc]approximate: Taking taylor expansion of (sqrt (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 (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in 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]backup-simplify: Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (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 (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in J * [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 (sqrt (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) into (pow (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [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]backup-simplify: Simplify (sqrt (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) into (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [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]backup-simplify: Simplify (sqrt (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) into (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))))) into 0 * [misc]taylor: Taking taylor expansion of (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/4) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/4 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) into (* 1/4 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/4 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/4) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/4) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) in K * [misc]taylor: Taking taylor expansion of (* 1/4 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) in K * [misc]taylor: Taking taylor expansion of 1/4 in K * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/4 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) into (* 1/4 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/4 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/4) * [misc]backup-simplify: Simplify (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/4) into (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/4) * [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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) (+ (* (/ (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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) (+ (* (/ (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]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]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/4))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) (+ (* (/ (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 (pow (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (/ 1/2 (/ 1 K)))))) (log (/ 1 U))))) 1) 1/4) into (pow (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U)))))) 1/4) * [misc]approximate: Taking taylor expansion of (sqrt (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 (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in 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]backup-simplify: Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (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 (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in J * [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 (sqrt (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) into (pow (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [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]backup-simplify: Simplify (sqrt (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) into (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [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]backup-simplify: Simplify (sqrt (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) into (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/4) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/4 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) into (* 1/4 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/4 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/4) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/4) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) in K * [misc]taylor: Taking taylor expansion of (* 1/4 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) in K * [misc]taylor: Taking taylor expansion of 1/4 in K * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/4 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) into (* 1/4 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/4 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/4) * [misc]backup-simplify: Simplify (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/4) into (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/4) * [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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) (+ (* (/ (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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) (+ (* (/ (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]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]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/4))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) (+ (* (/ (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 (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- J)))) (log (/ 1 (- U)))))) 1) 1/4) into (pow (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U)))))) 1/4) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in K * [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]backup-simplify: Simplify (sqrt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) into (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in J * [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 (sqrt (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))))) into (pow (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [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]backup-simplify: Simplify (sqrt (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) into (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [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]backup-simplify: Simplify (sqrt (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) into (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/4) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) into (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) * [misc]backup-simplify: Simplify (* 1/4 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))) into (* 1/4 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/4 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 1/4) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 1/4) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) in K * [misc]taylor: Taking taylor expansion of (* 1/4 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))) in K * [misc]taylor: Taking taylor expansion of 1/4 in K * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) into (log (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) * [misc]backup-simplify: Simplify (* 1/4 (log (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1))) into (* 1/4 (log (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))))) * [misc]backup-simplify: Simplify (exp (* 1/4 (log (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))))) into (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 1/4) * [misc]backup-simplify: Simplify (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 1/4) into (pow (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) 1/4) * [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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) (+ (* (/ (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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (+ 1 (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]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]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/4))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) (+ (* (/ (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 (pow (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) 1/4) into (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 1/4) * [misc]approximate: Taking taylor expansion of (sqrt (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 (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in 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]backup-simplify: Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (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 (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in J * [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 (sqrt (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) into (pow (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [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]backup-simplify: Simplify (sqrt (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) into (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [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]backup-simplify: Simplify (sqrt (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) into (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))))) into 0 * [misc]taylor: Taking taylor expansion of (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/4) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/4 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) into (* 1/4 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/4 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/4) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/4) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) in K * [misc]taylor: Taking taylor expansion of (* 1/4 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) in K * [misc]taylor: Taking taylor expansion of 1/4 in K * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/4 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) into (* 1/4 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/4 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/4) * [misc]backup-simplify: Simplify (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/4) into (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/4) * [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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) (+ (* (/ (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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) (+ (* (/ (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]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]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/4))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) (+ (* (/ (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 (pow (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (/ 1/2 (/ 1 K)))))) (log (/ 1 U))))) 1) 1/4) into (pow (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U)))))) 1/4) * [misc]approximate: Taking taylor expansion of (sqrt (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 (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in 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]backup-simplify: Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (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 (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in J * [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 (sqrt (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) into (pow (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [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]backup-simplify: Simplify (sqrt (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) into (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [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]backup-simplify: Simplify (sqrt (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) into (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/4) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/4 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) into (* 1/4 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/4 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/4) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/4) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) in K * [misc]taylor: Taking taylor expansion of (* 1/4 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) in K * [misc]taylor: Taking taylor expansion of 1/4 in K * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/4 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) into (* 1/4 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/4 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/4) * [misc]backup-simplify: Simplify (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/4) into (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/4) * [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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) (+ (* (/ (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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) (+ (* (/ (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]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]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/4))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) (+ (* (/ (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 (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- J)))) (log (/ 1 (- U)))))) 1) 1/4) into (pow (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U)))))) 1/4) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 76 ] 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 (256 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (* (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))) * * * * [misc]progress: [ 8 / 76 ] 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 (243 enodes) * [exit]simplify: Simplified to (pow (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* 1/2 1/2)) * [misc]simplify: Simplified (2 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (* (pow (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* 1/2 1/2)) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))) * * * * [misc]progress: [ 9 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (* (sqrt 1) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) * * * * [misc]progress: [ 10 / 76 ] 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 (267 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 3 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (/ (sqrt (+ 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 3 2)))) (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]progress: [ 11 / 76 ] 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 (264 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 2 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (/ (sqrt (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 2 2)))) (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) * * * * [misc]progress: [ 12 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 76 ] simplifiying candidate # * [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 (229 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (fabs (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))))) * * * * [misc]progress: [ 14 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 76 ] 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 (256 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (* (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 22 / 76 ] 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 (243 enodes) * [exit]simplify: Simplified to (pow (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* 1/2 1/2)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (* (pow (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* 1/2 1/2)) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 23 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (* (sqrt 1) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 24 / 76 ] 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 (267 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 3 2)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (/ (sqrt (+ 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 3 2)))) (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)))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 25 / 76 ] 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 (264 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 2 2)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (/ (sqrt (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 2 2)))) (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 26 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 76 ] simplifiying candidate # * [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 (229 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (fabs (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 28 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (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 (16 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (pow (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (* 1/2 1/3)) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (pow (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (* 1/2 1/3)) (sqrt (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))) * * * * [misc]progress: [ 36 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (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 (16 enodes) * * [misc]simplify: iters left: 5 (272 enodes) * [exit]simplify: Simplified to (pow (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* 1/3 1/2)) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (pow (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* 1/3 1/2)) (sqrt (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))) * * * * [misc]progress: [ 37 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (257 enodes) * [exit]simplify: Simplified to (sqrt (pow (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (* 1/2 1/2))) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (sqrt (pow (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (* 1/2 1/2))) (sqrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))) * * * * [misc]progress: [ 38 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* 1 (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) * * * * [misc]progress: [ 39 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (257 enodes) * [exit]simplify: Simplified to (sqrt (pow (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (* 1/2 1/2))) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (sqrt (pow (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (* 1/2 1/2))) (sqrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))) * * * * [misc]progress: [ 40 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (sqrt 1) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) * * * * [misc]progress: [ 41 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (281 enodes) * [exit]simplify: Simplified to (pow (+ 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (* 3 2))) (* 1/2 1/2)) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (/ (pow (+ 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (* 3 2))) (* 1/2 1/2)) (sqrt (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]progress: [ 42 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (278 enodes) * [exit]simplify: Simplified to (pow (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 2 2))) (* 1/2 1/2)) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (/ (pow (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 2 2))) (* 1/2 1/2)) (sqrt (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) * * * * [misc]progress: [ 43 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 76 ] 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 (243 enodes) * [exit]simplify: Simplified to (pow (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* 1/2 1/2)) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (fabs (pow (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* 1/2 1/2))))) * * * * [misc]progress: [ 45 / 76 ] 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 (243 enodes) * [exit]simplify: Simplified to (pow (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* 1/2 1/2)) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (fabs (pow (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* 1/2 1/2))))) * * * * [misc]progress: [ 46 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (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 (16 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (pow (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (* 1/2 1/3)) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (* (pow (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (* 1/2 1/3)) (sqrt (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 54 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (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 (16 enodes) * * [misc]simplify: iters left: 5 (272 enodes) * [exit]simplify: Simplified to (pow (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* 1/3 1/2)) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (* (pow (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* 1/3 1/2)) (sqrt (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 55 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (257 enodes) * [exit]simplify: Simplified to (sqrt (pow (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (* 1/2 1/2))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (* (sqrt (pow (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (* 1/2 1/2))) (sqrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 56 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (* 1 (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 57 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (257 enodes) * [exit]simplify: Simplified to (sqrt (pow (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (* 1/2 1/2))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (* (sqrt (pow (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (* 1/2 1/2))) (sqrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 58 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (* (sqrt 1) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 59 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (281 enodes) * [exit]simplify: Simplified to (pow (+ 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (* 3 2))) (* 1/2 1/2)) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (/ (pow (+ 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (* 3 2))) (* 1/2 1/2)) (sqrt (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)))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 60 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (278 enodes) * [exit]simplify: Simplified to (pow (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 2 2))) (* 1/2 1/2)) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (/ (pow (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 2 2))) (* 1/2 1/2)) (sqrt (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 61 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 76 ] 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 (243 enodes) * [exit]simplify: Simplified to (pow (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* 1/2 1/2)) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (fabs (pow (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* 1/2 1/2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 63 / 76 ] 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 (243 enodes) * [exit]simplify: Simplified to (pow (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* 1/2 1/2)) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (fabs (pow (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* 1/2 1/2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 64 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (240 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (/ (* 1/2 U) J) (/ (* 1/2 U) J)) 1)) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ (* (/ (* 1/2 U) J) (/ (* 1/2 U) J)) 1))))) * * * * [misc]progress: [ 66 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (354 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U) (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U)) 1)) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ (* (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U) (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U)) 1))))) * * * * [misc]progress: [ 67 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (368 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ U -1)) (* (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ U -1))) 1)) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ (* (* (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ U -1)) (* (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ U -1))) 1))))) * * * * [misc]progress: [ 68 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (240 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (/ (* 1/2 U) J) (/ (* 1/2 U) J)) 1)) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ (* (/ (* 1/2 U) J) (/ (* 1/2 U) J)) 1)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 69 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (354 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U) (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U)) 1)) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ (* (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U) (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U)) 1)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 70 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (368 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ U -1)) (* (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ U -1))) 1)) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ (* (* (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ U -1)) (* (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ U -1))) 1)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 71 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 1/4) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (pow (+ (* (/ (* 1/2 U) J) (/ (* 1/2 U) J)) 1) 1/4) * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (pow (+ (* (/ (* 1/2 U) J) (/ (* 1/2 U) J)) 1) 1/4))) * * * * [misc]progress: [ 72 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U)))))) 1/4) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (372 enodes) * [exit]simplify: Simplified to (pow (+ (* (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U) (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U)) 1) 1/4) * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (pow (+ (* (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U) (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U)) 1) 1/4))) * * * * [misc]progress: [ 73 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U)))))) 1/4) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (386 enodes) * [exit]simplify: Simplified to (pow (+ (* (* (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ U -1)) (* (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ U -1))) 1) 1/4) * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (pow (+ (* (* (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ U -1)) (* (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ U -1))) 1) 1/4))) * * * * [misc]progress: [ 74 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 1/4) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (pow (+ (* (/ (* 1/2 U) J) (/ (* 1/2 U) J)) 1) 1/4) * [misc]simplify: Simplified (2 1 2) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (pow (+ (* (/ (* 1/2 U) J) (/ (* 1/2 U) J)) 1) 1/4)) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 75 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U)))))) 1/4) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (372 enodes) * [exit]simplify: Simplified to (pow (+ (* (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U) (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U)) 1) 1/4) * [misc]simplify: Simplified (2 1 2) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (pow (+ (* (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U) (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U)) 1) 1/4)) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 76 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U)))))) 1/4) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (386 enodes) * [exit]simplify: Simplified to (pow (+ (* (* (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ U -1)) (* (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ U -1))) 1) 1/4) * [misc]simplify: Simplified (2 1 2) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (pow (+ (* (* (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ U -1)) (* (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ U -1))) 1) 1/4)) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * [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 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 1 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 1 1 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) in K * [misc]taylor: Rewrote expression to (pow (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) in K * [misc]taylor: Taking taylor expansion of (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in K * [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]backup-simplify: Simplify (sqrt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) into (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in K * [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]backup-simplify: Simplify (sqrt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) into (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in K * [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]backup-simplify: Simplify (sqrt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) into (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) into 0 * [misc]backup-simplify: Simplify (* (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 1/4) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 1/4)) into (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) * [misc]backup-simplify: Simplify (* (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 1/4)) into (pow (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3) 1/4) * [misc]backup-simplify: Simplify (log (pow (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3) 1/4)) into (log (pow (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3) 1/4)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3) 1/4))) into (* 1/3 (log (pow (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3) 1/4))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3) 1/4)))) into (pow (pow (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 3) 1/4) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) in J * [misc]taylor: Rewrote expression to (pow (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in J * [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 (sqrt (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))))) into (pow (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in J * [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 (sqrt (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))))) into (pow (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in J * [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 (sqrt (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))))) into (pow (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))))))) into 0 * [misc]backup-simplify: Simplify (* (pow (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1) 1/4) (pow (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1) 1/4)) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))) * [misc]backup-simplify: Simplify (* (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))) (pow (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1) 1/4)) into (* (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) 1/4) (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1))) * [misc]backup-simplify: Simplify (log (* (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) 1/4) (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) into (log (* (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))) (pow (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1) 1/4))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))) (pow (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1) 1/4)))) into (* 1/3 (log (* (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) 1/4) (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) 1/4) (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))))) into (pow (* (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))) (pow (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1) 1/4)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) in U * [misc]taylor: Rewrote expression to (pow (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) in U * [misc]taylor: Taking taylor expansion of (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [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]backup-simplify: Simplify (sqrt (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) into (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [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]backup-simplify: Simplify (sqrt (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) into (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [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]backup-simplify: Simplify (sqrt (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) into (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/4) (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/4)) into (sqrt (+ (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)) (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/4)) into (pow (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 3) 1/4) * [misc]backup-simplify: Simplify (log (pow (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 3) 1/4)) into (log (pow (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 3) 1/4)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 3) 1/4))) into (* 1/3 (log (pow (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 3) 1/4))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 3) 1/4)))) into (pow (pow (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 3) 1/4) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) in U * [misc]taylor: Rewrote expression to (pow (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) in U * [misc]taylor: Taking taylor expansion of (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [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]backup-simplify: Simplify (sqrt (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) into (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [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]backup-simplify: Simplify (sqrt (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) into (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [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]backup-simplify: Simplify (sqrt (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) into (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/4) (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/4)) into (sqrt (+ (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)) (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/4)) into (pow (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 3) 1/4) * [misc]backup-simplify: Simplify (log (pow (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 3) 1/4)) into (log (pow (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 3) 1/4)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 3) 1/4))) into (* 1/3 (log (pow (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 3) 1/4))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 3) 1/4)))) into (pow (pow (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 3) 1/4) 1/3) * [misc]taylor: Taking taylor expansion of (pow (pow (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 3) 1/4) 1/3) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 3) 1/4)))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 3) 1/4))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 3) 1/4)) in J * [misc]taylor: Taking taylor expansion of (pow (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 3) 1/4) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 3)))) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (log (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 3))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (log (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 3)) in J * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 3) in J * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) in J * [misc]taylor: Taking taylor expansion of (* 3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) in J * [misc]taylor: Taking taylor expansion of 3 in J * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) into (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) * [misc]backup-simplify: Simplify (* 3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))) into (* 3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))) * [misc]backup-simplify: Simplify (exp (* 3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 3) * [misc]backup-simplify: Simplify (log (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 3)) into (log (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 3)) * [misc]backup-simplify: Simplify (* 1/4 (log (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 3))) into (* 1/4 (log (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 3))) * [misc]backup-simplify: Simplify (exp (* 1/4 (log (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 3)))) into (pow (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 3) 1/4) * [misc]backup-simplify: Simplify (log (pow (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 3) 1/4)) into (log (pow (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 3) 1/4)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 3) 1/4))) into (* 1/3 (log (pow (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 3) 1/4))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 3) 1/4)))) into (pow (pow (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 3) 1/4) 1/3) * [misc]taylor: Taking taylor expansion of (pow (pow (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 3) 1/4) 1/3) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 3) 1/4)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 3) 1/4))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 3) 1/4)) in K * [misc]taylor: Taking taylor expansion of (pow (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 3) 1/4) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 3)))) in K * [misc]taylor: Taking taylor expansion of (* 1/4 (log (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 3))) in K * [misc]taylor: Taking taylor expansion of 1/4 in K * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (log (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 3)) in K * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 3) in K * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) in K * [misc]taylor: Taking taylor expansion of (* 3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))) in K * [misc]taylor: Taking taylor expansion of 3 in K * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) into (log (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) * [misc]backup-simplify: Simplify (* 3 (log (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1))) into (* 3 (log (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))))) into (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 3) * [misc]backup-simplify: Simplify (log (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 3)) into (log (pow (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) 3)) * [misc]backup-simplify: Simplify (* 1/4 (log (pow (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) 3))) into (* 1/4 (log (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 3))) * [misc]backup-simplify: Simplify (exp (* 1/4 (log (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 3)))) into (pow (pow (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) 3) 1/4) * [misc]backup-simplify: Simplify (log (pow (pow (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) 3) 1/4)) into (log (pow (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 3) 1/4)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 3) 1/4))) into (* 1/3 (log (pow (pow (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) 3) 1/4))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (pow (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) 3) 1/4)))) into (pow (pow (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 3) 1/4) 1/3) * [misc]backup-simplify: Simplify (pow (pow (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 3) 1/4) 1/3) into (pow (pow (pow (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) 3) 1/4) 1/3) * [misc]backup-simplify: Simplify (+ (* (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/4) 0) (* 0 (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) 0) (* 0 (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 3) 1/4) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 3) 1/4)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 3) 1/4)))) (+ (* (/ (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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 3)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 3) 1/4) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 3) 1/4)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 3) 1/4)))) (+ (* (/ (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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (pow (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) 3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 3)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (pow (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) 3) 1/4) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 3) 1/4)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (pow (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) 3) 1/4)))) (+ (* (/ (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]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]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/4))) 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]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/4))) 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]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/4) 0) (+ (* 0 0) (* 0 (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) 0) (+ (* 0 0) (* 0 (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/4)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 3) 1/4) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 3) 1/4) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 3) 1/4))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 3) 1/4)))) (+ (* (/ (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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 3) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 3))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 3) 1/4) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 3) 1/4) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 3) 1/4))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 3) 1/4)))) (+ (* (/ (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 (pow (pow (pow (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) 3) 1/4) 1/3) into (pow (pow (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 3) 1/4) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) (sqrt (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 (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))))) in K * [misc]taylor: Rewrote expression to (pow (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))))) in K * [misc]taylor: Taking taylor expansion of (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in 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]backup-simplify: Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (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 (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in 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]backup-simplify: Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (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 (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in 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]backup-simplify: Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4) (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4)) into (sqrt (+ (* 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)) (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/4)) into (pow (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 3) 1/4) * [misc]backup-simplify: Simplify (log (pow (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 3) 1/4)) into (log (pow (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 3) 1/4)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 3) 1/4))) into (* 1/3 (log (pow (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 3) 1/4))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 3) 1/4)))) into (pow (pow (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 3) 1/4) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))))) in J * [misc]taylor: Rewrote expression to (pow (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in J * [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 (sqrt (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) into (pow (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in J * [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 (sqrt (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) into (pow (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in J * [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 (sqrt (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) into (pow (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (pow (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) 1/4) (pow (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) 1/4)) into (sqrt (+ (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)) (pow (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) 1/4)) into (pow (pow (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) 3) 1/4) * [misc]backup-simplify: Simplify (log (pow (pow (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) 3) 1/4)) into (log (pow (pow (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) 3) 1/4)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (pow (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) 3) 1/4))) into (* 1/3 (log (pow (pow (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) 3) 1/4))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (pow (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) 3) 1/4)))) into (pow (pow (pow (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) 3) 1/4) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))))) in U * [misc]taylor: Rewrote expression to (pow (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))))) in U * [misc]taylor: Taking taylor expansion of (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [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]backup-simplify: Simplify (sqrt (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) into (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [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]backup-simplify: Simplify (sqrt (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) into (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [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]backup-simplify: Simplify (sqrt (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) into (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))))) into 0 * [misc]backup-simplify: Simplify (* (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/4) (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/4)) into (sqrt (+ 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)))))) (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/4)) into (pow (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 3) 1/4) * [misc]backup-simplify: Simplify (log (pow (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 3) 1/4)) into (log (pow (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 3) 1/4)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 3) 1/4))) into (* 1/3 (log (pow (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 3) 1/4))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 3) 1/4)))) into (pow (pow (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 3) 1/4) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))))) in U * [misc]taylor: Rewrote expression to (pow (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))))) in U * [misc]taylor: Taking taylor expansion of (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [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]backup-simplify: Simplify (sqrt (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) into (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [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]backup-simplify: Simplify (sqrt (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) into (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [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]backup-simplify: Simplify (sqrt (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) into (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))))) into 0 * [misc]backup-simplify: Simplify (* (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/4) (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/4)) into (sqrt (+ 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)))))) (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/4)) into (pow (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 3) 1/4) * [misc]backup-simplify: Simplify (log (pow (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 3) 1/4)) into (log (pow (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 3) 1/4)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 3) 1/4))) into (* 1/3 (log (pow (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 3) 1/4))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 3) 1/4)))) into (pow (pow (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 3) 1/4) 1/3) * [misc]taylor: Taking taylor expansion of (pow (pow (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 3) 1/4) 1/3) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 3) 1/4)))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 3) 1/4))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 3) 1/4)) in J * [misc]taylor: Taking taylor expansion of (pow (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 3) 1/4) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 3)))) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (log (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 3))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (log (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 3)) in J * [misc]taylor: Taking taylor expansion of (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 3) in J * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) in J * [misc]taylor: Taking taylor expansion of (* 3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) in J * [misc]taylor: Taking taylor expansion of 3 in J * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) into (* 3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3) * [misc]backup-simplify: Simplify (log (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3)) into (log (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3)) * [misc]backup-simplify: Simplify (* 1/4 (log (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3))) into (* 1/4 (log (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3))) * [misc]backup-simplify: Simplify (exp (* 1/4 (log (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3)))) into (pow (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3) 1/4) * [misc]backup-simplify: Simplify (log (pow (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3) 1/4)) into (log (pow (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3) 1/4)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3) 1/4))) into (* 1/3 (log (pow (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3) 1/4))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3) 1/4)))) into (pow (pow (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3) 1/4) 1/3) * [misc]taylor: Taking taylor expansion of (pow (pow (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3) 1/4) 1/3) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3) 1/4)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3) 1/4))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3) 1/4)) in K * [misc]taylor: Taking taylor expansion of (pow (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3) 1/4) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3)))) in K * [misc]taylor: Taking taylor expansion of (* 1/4 (log (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3))) in K * [misc]taylor: Taking taylor expansion of 1/4 in K * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (log (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3)) in K * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3) in K * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) in K * [misc]taylor: Taking taylor expansion of (* 3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) in K * [misc]taylor: Taking taylor expansion of 3 in K * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) into (* 3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3) * [misc]backup-simplify: Simplify (log (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3)) into (log (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3)) * [misc]backup-simplify: Simplify (* 1/4 (log (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3))) into (* 1/4 (log (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3))) * [misc]backup-simplify: Simplify (exp (* 1/4 (log (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3)))) into (pow (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3) 1/4) * [misc]backup-simplify: Simplify (log (pow (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3) 1/4)) into (log (pow (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3) 1/4)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3) 1/4))) into (* 1/3 (log (pow (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3) 1/4))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3) 1/4)))) into (pow (pow (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3) 1/4) 1/3) * [misc]backup-simplify: Simplify (pow (pow (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3) 1/4) 1/3) into (pow (pow (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3) 1/4) 1/3) * [misc]backup-simplify: Simplify (+ (* (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/4) 0) (* 0 (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) 0) (* 0 (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/4))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 3) 1/4) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 3) 1/4)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 3) 1/4)))) (+ (* (/ (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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3) 1/4) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3) 1/4)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3) 1/4)))) (+ (* (/ (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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3) 1/4) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3) 1/4)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3) 1/4)))) (+ (* (/ (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]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]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/4))) 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]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/4))) 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]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/4) 0) (+ (* 0 0) (* 0 (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) 0) (+ (* 0 0) (* 0 (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/4)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 3) 1/4) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 3) 1/4) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 3) 1/4))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 3) 1/4)))) (+ (* (/ (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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3) 1/4) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3) 1/4) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3) 1/4))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 3) 1/4)))) (+ (* (/ (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 (pow (pow (pow (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (/ 1/2 (/ 1 K)))))) (log (/ 1 U))))) 1) 3) 1/4) 1/3) into (pow (pow (pow (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U)))))) 3) 1/4) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) (sqrt (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 (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))))) in K * [misc]taylor: Rewrote expression to (pow (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))))) in K * [misc]taylor: Taking taylor expansion of (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in 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]backup-simplify: Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (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 (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in 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]backup-simplify: Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (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 (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in 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]backup-simplify: Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 1/4) (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 1/4)) into (sqrt (+ (* 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)) (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 1/4)) into (pow (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 3) 1/4) * [misc]backup-simplify: Simplify (log (pow (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 3) 1/4)) into (log (pow (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 3) 1/4)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 3) 1/4))) into (* 1/3 (log (pow (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 3) 1/4))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 3) 1/4)))) into (pow (pow (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 3) 1/4) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))))) in J * [misc]taylor: Rewrote expression to (pow (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in J * [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 (sqrt (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) into (pow (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in J * [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 (sqrt (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) into (pow (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in J * [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 (sqrt (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) into (pow (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))))) into 0 * [misc]backup-simplify: Simplify (* (pow (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) 1/4) (pow (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) 1/4)) into (sqrt (+ 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)))))) (pow (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) 1/4)) into (pow (pow (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) 3) 1/4) * [misc]backup-simplify: Simplify (log (pow (pow (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) 3) 1/4)) into (log (pow (pow (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) 3) 1/4)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (pow (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) 3) 1/4))) into (* 1/3 (log (pow (pow (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) 3) 1/4))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (pow (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) 3) 1/4)))) into (pow (pow (pow (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) 3) 1/4) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))))) in U * [misc]taylor: Rewrote expression to (pow (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))))) in U * [misc]taylor: Taking taylor expansion of (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [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]backup-simplify: Simplify (sqrt (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) into (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [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]backup-simplify: Simplify (sqrt (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) into (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [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]backup-simplify: Simplify (sqrt (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) into (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/4) (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/4)) into (sqrt (+ (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)) (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/4)) into (pow (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 3) 1/4) * [misc]backup-simplify: Simplify (log (pow (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 3) 1/4)) into (log (pow (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 3) 1/4)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 3) 1/4))) into (* 1/3 (log (pow (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 3) 1/4))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 3) 1/4)))) into (pow (pow (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 3) 1/4) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))))) in U * [misc]taylor: Rewrote expression to (pow (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))))) in U * [misc]taylor: Taking taylor expansion of (* (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [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]backup-simplify: Simplify (sqrt (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) into (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [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]backup-simplify: Simplify (sqrt (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) into (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [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]backup-simplify: Simplify (sqrt (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) into (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/4) (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/4)) into (sqrt (+ (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)) (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/4)) into (pow (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 3) 1/4) * [misc]backup-simplify: Simplify (log (pow (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 3) 1/4)) into (log (pow (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 3) 1/4)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 3) 1/4))) into (* 1/3 (log (pow (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 3) 1/4))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 3) 1/4)))) into (pow (pow (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 3) 1/4) 1/3) * [misc]taylor: Taking taylor expansion of (pow (pow (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 3) 1/4) 1/3) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 3) 1/4)))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 3) 1/4))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 3) 1/4)) in J * [misc]taylor: Taking taylor expansion of (pow (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 3) 1/4) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 3)))) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (log (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 3))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (log (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 3)) in J * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 3) in J * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) in J * [misc]taylor: Taking taylor expansion of (* 3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) in J * [misc]taylor: Taking taylor expansion of 3 in J * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) into (* 3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3) * [misc]backup-simplify: Simplify (log (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3)) into (log (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3)) * [misc]backup-simplify: Simplify (* 1/4 (log (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3))) into (* 1/4 (log (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3))) * [misc]backup-simplify: Simplify (exp (* 1/4 (log (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3)))) into (pow (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3) 1/4) * [misc]backup-simplify: Simplify (log (pow (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3) 1/4)) into (log (pow (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3) 1/4)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3) 1/4))) into (* 1/3 (log (pow (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3) 1/4))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3) 1/4)))) into (pow (pow (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3) 1/4) 1/3) * [misc]taylor: Taking taylor expansion of (pow (pow (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3) 1/4) 1/3) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3) 1/4)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3) 1/4))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3) 1/4)) in K * [misc]taylor: Taking taylor expansion of (pow (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3) 1/4) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3)))) in K * [misc]taylor: Taking taylor expansion of (* 1/4 (log (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3))) in K * [misc]taylor: Taking taylor expansion of 1/4 in K * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (log (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3)) in K * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3) in K * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) in K * [misc]taylor: Taking taylor expansion of (* 3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) in K * [misc]taylor: Taking taylor expansion of 3 in K * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) into (* 3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3) * [misc]backup-simplify: Simplify (log (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3)) into (log (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3)) * [misc]backup-simplify: Simplify (* 1/4 (log (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3))) into (* 1/4 (log (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3))) * [misc]backup-simplify: Simplify (exp (* 1/4 (log (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3)))) into (pow (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3) 1/4) * [misc]backup-simplify: Simplify (log (pow (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3) 1/4)) into (log (pow (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3) 1/4)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3) 1/4))) into (* 1/3 (log (pow (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3) 1/4))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3) 1/4)))) into (pow (pow (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3) 1/4) 1/3) * [misc]backup-simplify: Simplify (pow (pow (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3) 1/4) 1/3) into (pow (pow (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3) 1/4) 1/3) * [misc]backup-simplify: Simplify (+ (* (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/4) 0) (* 0 (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) 0) (* 0 (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 3) 1/4) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 3) 1/4)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 3) 1/4)))) (+ (* (/ (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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3) 1/4) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3) 1/4)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3) 1/4)))) (+ (* (/ (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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3) 1/4) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3) 1/4)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3) 1/4)))) (+ (* (/ (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]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]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/4))) 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]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/4))) 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]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/4) 0) (+ (* 0 0) (* 0 (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) 0) (+ (* 0 0) (* 0 (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/4)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 3) 1/4) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 3) 1/4) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 3) 1/4))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 3) 1/4)))) (+ (* (/ (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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3) 1/4) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3) 1/4) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3) 1/4))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 3) 1/4)))) (+ (* (/ (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 (pow (pow (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- J)))) (log (/ 1 (- U)))))) 1) 3) 1/4) 1/3) into (pow (pow (pow (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U)))))) 3) 1/4) 1/3) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1) * [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 2 1 2 1) * [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 1 2 1) * [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 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (pow (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* 1/2 1/3)) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (* (pow (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* 1/2 1/3)) (cbrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 6 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (sqrt (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) (sqrt (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))))) (sqrt (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 (321 enodes) * [exit]simplify: Simplified to (pow (+ 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 3 2))) (* 1/2 1/2)) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (/ (pow (+ 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 3 2))) (* 1/2 1/2)) (cbrt (* (* (sqrt (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)))))) (sqrt (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))))))) (sqrt (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)))))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 7 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (sqrt (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) (sqrt (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))))) (sqrt (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (416 enodes) * [exit]simplify: Simplified to (cbrt (* (pow (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 2 2))) (* 1/2 1/2)) (sqrt (+ 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 3 2)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (/ (cbrt (* (pow (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 2 2))) (* 1/2 1/2)) (sqrt (+ 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 3 2)))))) (cbrt (* (* (sqrt (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)))))) (sqrt (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))))))) (sqrt (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 8 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (sqrt (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) (sqrt (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (420 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (+ 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 3 2)))) (pow (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 2 2))) (* 1/2 1/2)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (/ (cbrt (* (sqrt (+ 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 3 2)))) (pow (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 2 2))) (* 1/2 1/2)))) (cbrt (* (* (sqrt (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)))))) (sqrt (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (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)))))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 9 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (sqrt (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) (sqrt (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (420 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (* 2 2)))) (pow (+ 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (* 3 2))) (* 1/2 1/2)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (/ (cbrt (* (sqrt (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (* 2 2)))) (pow (+ 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (* 3 2))) (* 1/2 1/2)))) (cbrt (* (* (sqrt (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)))))) (sqrt (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 10 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (sqrt (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))))) (sqrt (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (420 enodes) * [exit]simplify: Simplified to (cbrt (* (pow (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 2 2))) (* 1/2 1/2)) (sqrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 2 3)) 1)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (/ (cbrt (* (pow (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 2 2))) (* 1/2 1/2)) (sqrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 2 3)) 1)))) (cbrt (* (* (sqrt (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (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))))))) (sqrt (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)))))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 11 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (sqrt (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))))) (sqrt (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (420 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 2 2)))) (pow (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 2 3)) 1) (* 1/2 1/2)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (/ (cbrt (* (sqrt (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 2 2)))) (pow (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 2 3)) 1) (* 1/2 1/2)))) (cbrt (* (* (sqrt (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (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))))))) (sqrt (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 12 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (sqrt (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (416 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 2 2)))) (pow (+ 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 2 3))) (* 1/2 1/2)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (/ (cbrt (* (sqrt (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 2 2)))) (pow (+ 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 2 3))) (* 1/2 1/2)))) (cbrt (* (* (sqrt (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (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)))))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 13 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (sqrt (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (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 (318 enodes) * [exit]simplify: Simplified to (pow (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 2 2))) (* 1/2 1/2)) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (/ (pow (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 2 2))) (* 1/2 1/2)) (cbrt (* (* (sqrt (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 14 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))))) (sqrt (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (380 enodes) * [exit]simplify: Simplified to (cbrt (* (pow (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (* 1/2 1/2)) (sqrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 3 2)) 1)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (/ (cbrt (* (pow (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (* 1/2 1/2)) (sqrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 3 2)) 1)))) (cbrt (* (sqrt (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)))))) (sqrt (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)))))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 15 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))))) (sqrt (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (470 enodes) * [exit]simplify: Simplified to (cbrt (* (* (pow (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 2 2))) (* 1/2 1/2)) (pow (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 3 2)) 1) (* 1/2 1/2))) (pow (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))) (* 1/2 1/2)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (/ (cbrt (* (* (pow (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 2 2))) (* 1/2 1/2)) (pow (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 3 2)) 1) (* 1/2 1/2))) (pow (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))) (* 1/2 1/2)))) (cbrt (* (sqrt (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)))))) (sqrt (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 16 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (472 enodes) * [exit]simplify: Simplified to (cbrt (* (pow (+ 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 2 3))) (* 1/2 1/2)) (* (pow (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))) (* 1/2 1/2)) (pow (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 2 2))) (* 1/2 1/2))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (/ (cbrt (* (pow (+ 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 2 3))) (* 1/2 1/2)) (* (pow (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))) (* 1/2 1/2)) (pow (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 2 2))) (* 1/2 1/2))))) (cbrt (* (sqrt (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (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)))))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 17 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (380 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (* 2 2)))) (pow (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* 1/2 1/2)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (/ (cbrt (* (sqrt (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (* 2 2)))) (pow (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* 1/2 1/2)))) (cbrt (* (sqrt (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 18 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (sqrt (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (380 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (+ 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (* 3 2)))) (pow (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* 1/2 1/2)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (/ (cbrt (* (sqrt (+ 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (* 3 2)))) (pow (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* 1/2 1/2)))) (cbrt (* (sqrt (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)))))) (sqrt (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)))))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 19 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (sqrt (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (472 enodes) * [exit]simplify: Simplified to (cbrt (* (pow (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* 1/2 1/2)) (* (pow (+ 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (* 3 2))) (* 1/2 1/2)) (pow (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (* 2 2))) (* 1/2 1/2))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (/ (cbrt (* (pow (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* 1/2 1/2)) (* (pow (+ 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (* 3 2))) (* 1/2 1/2)) (pow (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (* 2 2))) (* 1/2 1/2))))) (cbrt (* (sqrt (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)))))) (sqrt (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 20 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (sqrt (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (472 enodes) * [exit]simplify: Simplified to (cbrt (* (pow (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (* 1/2 1/2)) (* (pow (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 2 2))) (* 1/2 1/2)) (pow (+ 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 3 2))) (* 1/2 1/2))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (/ (cbrt (* (pow (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (* 1/2 1/2)) (* (pow (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 2 2))) (* 1/2 1/2)) (pow (+ 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 3 2))) (* 1/2 1/2))))) (cbrt (* (sqrt (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (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)))))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 21 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (sqrt (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (378 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 2 2)))) (pow (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (* 1/2 1/2)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (/ (cbrt (* (sqrt (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 2 2)))) (pow (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (* 1/2 1/2)))) (cbrt (* (sqrt (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 22 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (376 enodes) * [exit]simplify: Simplified to (cbrt (* (pow (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 3 2)) 1) (* 1/2 1/2)) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (/ (cbrt (* (pow (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 3 2)) 1) (* 1/2 1/2)) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (cbrt (sqrt (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))))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 23 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (376 enodes) * [exit]simplify: Simplified to (cbrt (* (pow (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 2 2))) (* 1/2 1/2)) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (/ (cbrt (* (pow (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 2 2))) (* 1/2 1/2)) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) (cbrt (sqrt (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 24 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (sqrt (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) (sqrt (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (377 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (+ 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 3 2)))) (pow (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (* 1/2 1/2)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (/ (cbrt (* (sqrt (+ 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 3 2)))) (pow (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (* 1/2 1/2)))) (cbrt (* (sqrt (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)))))) (sqrt (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)))))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 25 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (sqrt (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) (sqrt (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (470 enodes) * [exit]simplify: Simplified to (cbrt (* (pow (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 2 2))) (* 1/2 1/2)) (* (pow (+ 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 3 2))) (* 1/2 1/2)) (pow (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (* 1/2 1/2))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (/ (cbrt (* (pow (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 2 2))) (* 1/2 1/2)) (* (pow (+ 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 3 2))) (* 1/2 1/2)) (pow (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (* 1/2 1/2))))) (cbrt (* (sqrt (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)))))) (sqrt (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 26 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (sqrt (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (472 enodes) * [exit]simplify: Simplified to (cbrt (* (pow (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* 1/2 1/2)) (* (pow (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 2 2))) (* 1/2 1/2)) (pow (+ (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (* 2 3)) 1) (* 1/2 1/2))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (/ (cbrt (* (pow (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* 1/2 1/2)) (* (pow (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 2 2))) (* 1/2 1/2)) (pow (+ (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (* 2 3)) 1) (* 1/2 1/2))))) (cbrt (* (sqrt (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (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)))))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 27 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (sqrt (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (375 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (* 2 2)))) (pow (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* 1/2 1/2)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (/ (cbrt (* (sqrt (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (* 2 2)))) (pow (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* 1/2 1/2)))) (cbrt (* (sqrt (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 28 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (380 enodes) * [exit]simplify: Simplified to (cbrt (* (pow (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 3 2)) 1) (* 1/2 1/2)) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (/ (cbrt (* (pow (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 3 2)) 1) (* 1/2 1/2)) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (cbrt (sqrt (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))))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 29 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (379 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) (pow (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 2 2))) (* 1/2 1/2)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (/ (cbrt (* (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) (pow (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 2 2))) (* 1/2 1/2)))) (cbrt (sqrt (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 30 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (sqrt (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (380 enodes) * [exit]simplify: Simplified to (cbrt (* (pow (+ 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 3 2))) (* 1/2 1/2)) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (/ (cbrt (* (pow (+ 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 3 2))) (* 1/2 1/2)) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (cbrt (sqrt (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))))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 31 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (sqrt (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (379 enodes) * [exit]simplify: Simplified to (cbrt (* (pow (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 2 2))) (* 1/2 1/2)) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (/ (cbrt (* (pow (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 2 2))) (* 1/2 1/2)) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) (cbrt (sqrt (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 32 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 90 ] simplifiying candidate # * [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 (229 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 35 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 90 ] 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 (256 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) (sqrt (* (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))) * * * * [misc]progress: [ 44 / 90 ] 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 (243 enodes) * [exit]simplify: Simplified to (pow (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* 1/2 1/2)) * [misc]simplify: Simplified (2 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) (sqrt (* (pow (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* 1/2 1/2)) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))) * * * * [misc]progress: [ 45 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) (sqrt (* (sqrt 1) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) * * * * [misc]progress: [ 46 / 90 ] 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 (267 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 3 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) (sqrt (/ (sqrt (+ 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 3 2)))) (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]progress: [ 47 / 90 ] 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 (264 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 2 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) (sqrt (/ (sqrt (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 2 2)))) (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) * * * * [misc]progress: [ 48 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 90 ] simplifiying candidate # * [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 (229 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) (sqrt (fabs (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))))) * * * * [misc]progress: [ 50 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 90 ] 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 (256 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) * [misc]simplify: Simplified (2 1 2 1 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (* (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 58 / 90 ] 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 (243 enodes) * [exit]simplify: Simplified to (pow (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* 1/2 1/2)) * [misc]simplify: Simplified (2 1 2 1 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (* (pow (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* 1/2 1/2)) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 59 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1 2 1 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (* (sqrt 1) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 60 / 90 ] 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 (267 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 3 2)))) * [misc]simplify: Simplified (2 1 2 1 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (/ (sqrt (+ 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 3 2)))) (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)))))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 61 / 90 ] 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 (264 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 2 2)))) * [misc]simplify: Simplified (2 1 2 1 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (/ (sqrt (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 2 2)))) (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 62 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 90 ] simplifiying candidate # * [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 (229 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) * [misc]simplify: Simplified (2 1 2 1 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (fabs (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 64 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 90 ] 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 (256 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) * [misc]simplify: Simplified (2 1 2 1 1 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (* (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 72 / 90 ] 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 (243 enodes) * [exit]simplify: Simplified to (pow (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* 1/2 1/2)) * [misc]simplify: Simplified (2 1 2 1 1 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (* (pow (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* 1/2 1/2)) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 73 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1 2 1 1 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (* (sqrt 1) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 74 / 90 ] 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 (267 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 3 2)))) * [misc]simplify: Simplified (2 1 2 1 1 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (/ (sqrt (+ 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 3 2)))) (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)))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 75 / 90 ] 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 (264 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 2 2)))) * [misc]simplify: Simplified (2 1 2 1 1 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (/ (sqrt (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 2 2)))) (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 76 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 90 ] simplifiying candidate # * [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 (229 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) * [misc]simplify: Simplified (2 1 2 1 1 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (fabs (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 78 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (pow (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 3) 1/4) 1/3) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (322 enodes) * [exit]simplify: Simplified to (pow (+ 1 (* (/ (* 1/2 U) J) (/ (* 1/2 U) J))) (* 3 (* 1/4 1/3))) * [misc]simplify: Simplified (2 1 2) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (pow (+ 1 (* (/ (* 1/2 U) J) (/ (* 1/2 U) J))) (* 3 (* 1/4 1/3)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 80 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (pow (pow (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U)))))) 3) 1/4) 1/3) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (436 enodes) * [exit]simplify: Simplified to (pow (+ (* (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U) (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U)) 1) (* (* 3 1/4) 1/3)) * [misc]simplify: Simplified (2 1 2) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (pow (+ (* (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U) (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U)) 1) (* (* 3 1/4) 1/3))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 81 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (pow (pow (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U)))))) 3) 1/4) 1/3) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (450 enodes) * [exit]simplify: Simplified to (pow (+ (* (/ (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ -1 U)) (/ (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ -1 U))) 1) (* (* 1/4 3) 1/3)) * [misc]simplify: Simplified (2 1 2) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (pow (+ (* (/ (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ -1 U)) (/ (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ -1 U))) 1) (* (* 1/4 3) 1/3))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 82 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (240 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (/ (* 1/2 U) J) (/ (* 1/2 U) J)) 1)) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) (sqrt (sqrt (+ (* (/ (* 1/2 U) J) (/ (* 1/2 U) J)) 1))))) * * * * [misc]progress: [ 83 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (354 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U) (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U)) 1)) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) (sqrt (sqrt (+ (* (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U) (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U)) 1))))) * * * * [misc]progress: [ 84 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (368 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ U -1)) (* (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ U -1))) 1)) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) (sqrt (sqrt (+ (* (* (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ U -1)) (* (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ U -1))) 1))))) * * * * [misc]progress: [ 85 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (240 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (/ (* 1/2 U) J) (/ (* 1/2 U) J)) 1)) * [misc]simplify: Simplified (2 1 2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ (* (/ (* 1/2 U) J) (/ (* 1/2 U) J)) 1)))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 86 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (354 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U) (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U)) 1)) * [misc]simplify: Simplified (2 1 2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ (* (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U) (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U)) 1)))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 87 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (368 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ U -1)) (* (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ U -1))) 1)) * [misc]simplify: Simplified (2 1 2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ (* (* (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ U -1)) (* (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ U -1))) 1)))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 88 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (240 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (/ (* 1/2 U) J) (/ (* 1/2 U) J)) 1)) * [misc]simplify: Simplified (2 1 2 1 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ (* (/ (* 1/2 U) J) (/ (* 1/2 U) J)) 1)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 89 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (354 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U) (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U)) 1)) * [misc]simplify: Simplified (2 1 2 1 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ (* (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U) (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U)) 1)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 90 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (368 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ U -1)) (* (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ U -1))) 1)) * [misc]simplify: Simplified (2 1 2 1 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (cbrt (* (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ (* (* (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ U -1)) (* (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ U -1))) 1)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * [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) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in K * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) into (* 1/3 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) into (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)) into (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))))) into (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) into (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) into (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) into (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/3) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) into (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 1/3) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) into (log (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1))) into (* 1/3 (log (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))))) into (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 1/3) * [misc]backup-simplify: Simplify (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 1/3) into (pow (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) 1/3) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) (+ (* (/ (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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) (+ (* (/ (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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ 1 (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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) (+ (* (/ (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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) (+ (* (/ (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 (pow (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) 1/3) into (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in K * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) into (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) into (* 1/3 (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into (pow (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) into (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) into (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/3) * [misc]taylor: Taking taylor expansion of (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/3) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/3) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/3) * [misc]backup-simplify: Simplify (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/3) into (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/3) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ 1 (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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) (+ (* (/ (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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) (+ (* (/ (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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ 1 (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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) (+ (* (/ (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 (pow (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (/ 1/2 (/ 1 K)))))) (log (/ 1 U))))) 1) 1/3) into (pow (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U)))))) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in K * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) into (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) into (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) into (* 1/3 (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into (pow (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/3) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/3) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/3) * [misc]backup-simplify: Simplify (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/3) into (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/3) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) (+ (* (/ (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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) (+ (* (/ (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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) (+ (* (/ (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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) (+ (* (/ (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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) (+ (* (/ (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 (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- J)))) (log (/ 1 (- U)))))) 1) 1/3) into (pow (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U)))))) 1/3) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in K * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) into (* 1/3 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) into (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)) into (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))))) into (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) into (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) into (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) into (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/3) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) into (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 1/3) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) into (log (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1))) into (* 1/3 (log (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))))) into (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 1/3) * [misc]backup-simplify: Simplify (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 1/3) into (pow (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) 1/3) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) (+ (* (/ (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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) (+ (* (/ (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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ 1 (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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) (+ (* (/ (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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) (+ (* (/ (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 (pow (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) 1/3) into (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in K * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) into (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) into (* 1/3 (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into (pow (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) into (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) into (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/3) * [misc]taylor: Taking taylor expansion of (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/3) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/3) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/3) * [misc]backup-simplify: Simplify (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/3) into (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/3) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ 1 (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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) (+ (* (/ (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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) (+ (* (/ (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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ 1 (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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) (+ (* (/ (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 (pow (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (/ 1/2 (/ 1 K)))))) (log (/ 1 U))))) 1) 1/3) into (pow (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U)))))) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in K * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) into (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) into (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) into (* 1/3 (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into (pow (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/3) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/3) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/3) * [misc]backup-simplify: Simplify (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/3) into (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/3) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) (+ (* (/ (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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) (+ (* (/ (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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) (+ (* (/ (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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) (+ (* (/ (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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) (+ (* (/ (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 (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- J)))) (log (/ 1 (- U)))))) 1) 1/3) into (pow (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U)))))) 1/3) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in K * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) into (* 1/3 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) into (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)) into (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))))) into (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) into (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) into (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) into (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/3) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) into (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 1/3) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) into (log (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1))) into (* 1/3 (log (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))))) into (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 1/3) * [misc]backup-simplify: Simplify (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 1/3) into (pow (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) 1/3) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) (+ (* (/ (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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) (+ (* (/ (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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ 1 (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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) (+ (* (/ (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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) (+ (* (/ (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 (pow (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) 1/3) into (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in K * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) into (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) into (* 1/3 (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into (pow (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) into (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) into (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/3) * [misc]taylor: Taking taylor expansion of (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/3) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/3) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/3) * [misc]backup-simplify: Simplify (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/3) into (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/3) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ 1 (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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) (+ (* (/ (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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) (+ (* (/ (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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ 1 (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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) (+ (* (/ (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 (pow (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (/ 1/2 (/ 1 K)))))) (log (/ 1 U))))) 1) 1/3) into (pow (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U)))))) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in K * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) into (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) into (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) into (* 1/3 (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into (pow (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/3) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/3) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/3) * [misc]backup-simplify: Simplify (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/3) into (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/3) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) (+ (* (/ (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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) (+ (* (/ (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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) (+ (* (/ (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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) (+ (* (/ (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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) (+ (* (/ (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 (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- J)))) (log (/ 1 (- U)))))) 1) 1/3) into (pow (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U)))))) 1/3) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in K * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) into (* 1/3 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) into (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in K * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) into (* 1/3 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) into (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 1/3) * [misc]backup-simplify: Simplify (* (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 1/3) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 1/3)) into (pow (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2) 1/3) * [misc]backup-simplify: Simplify (sqrt (pow (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2) 1/3)) into (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 1/3) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 1/3) 0) (* 0 (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 1/3))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 2) 1/3)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)) into (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))))) into (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) into (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)) into (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))))) into (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) into (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) 1/3) * [misc]backup-simplify: Simplify (* (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) 1/3) (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) 1/3)) into (pow (pow (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1) 2) 1/3) * [misc]backup-simplify: Simplify (sqrt (pow (pow (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1) 2) 1/3)) into (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) 1/3) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) (+ (* (/ (pow 0 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 (- (/ 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) 1/3) 0) (* 0 (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) 1/3))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow (pow (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1) 2) 1/3)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) into (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) into (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/3) * [misc]backup-simplify: Simplify (* (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/3) (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/3)) into (pow (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 2) 1/3) * [misc]backup-simplify: Simplify (sqrt (pow (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 2) 1/3)) into (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/3) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) (+ (* (/ (pow 0 1) 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 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/3) 0) (* 0 (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/3))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 2) 1/3)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) into (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) into (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/3) * [misc]backup-simplify: Simplify (* (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/3) (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/3)) into (pow (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 2) 1/3) * [misc]backup-simplify: Simplify (sqrt (pow (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 2) 1/3)) into (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/3) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) (+ (* (/ (pow 0 1) 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 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/3) 0) (* 0 (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/3))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 2) 1/3)))) into 0 * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/3) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) into (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 1/3) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) into (log (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1))) into (* 1/3 (log (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))))) into (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 1/3) * [misc]backup-simplify: Simplify (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 1/3) into (pow (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) 1/3) * [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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) (+ (* (/ (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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ 1 (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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 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 (- (/ 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/3) 0) (+ (* 0 0) (* 0 (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/3)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/3))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) (+ (* (/ (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 (pow (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) 1/3) into (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 1/3) * [misc]approximate: Taking taylor expansion of (sqrt (* (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) (cbrt (+ 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 (* (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of (* (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in K * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in K * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) * [misc]backup-simplify: Simplify (* (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3)) into (pow (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 2) 1/3) * [misc]backup-simplify: Simplify (sqrt (pow (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 2) 1/3)) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) 0) (* 0 (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 2) 1/3)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of (* (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) into (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) into (* 1/3 (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into (pow (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) into (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) into (* 1/3 (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into (pow (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) 1/3) * [misc]backup-simplify: Simplify (* (pow (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) 1/3) (pow (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) 1/3)) into (pow (pow (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) 2) 1/3) * [misc]backup-simplify: Simplify (sqrt (pow (pow (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) 2) 1/3)) into (pow (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) 1/3) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) 1/3) 0) (* 0 (pow (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) 1/3))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow (pow (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) 2) 1/3)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) into (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) into (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/3) * [misc]backup-simplify: Simplify (* (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/3) (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/3)) into (pow (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 2) 1/3) * [misc]backup-simplify: Simplify (sqrt (pow (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 2) 1/3)) into (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/3) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/3) 0) (* 0 (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/3))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 2) 1/3)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) into (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) into (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/3) * [misc]backup-simplify: Simplify (* (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/3) (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/3)) into (pow (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 2) 1/3) * [misc]backup-simplify: Simplify (sqrt (pow (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 2) 1/3)) into (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/3) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/3) 0) (* 0 (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/3))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 2) 1/3)))) into 0 * [misc]taylor: Taking taylor expansion of (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/3) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/3) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/3) * [misc]backup-simplify: Simplify (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/3) into (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/3) * [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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) (+ (* (/ (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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) (+ (* (/ (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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ 1 (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 (- (+ (* 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ 1 (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 (+ (* (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/3) 0) (+ (* 0 0) (* 0 (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/3)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/3))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) (+ (* (/ (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 (pow (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (/ 1/2 (/ 1 K)))))) (log (/ 1 U))))) 1) 1/3) into (pow (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U)))))) 1/3) * [misc]approximate: Taking taylor expansion of (sqrt (* (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) (cbrt (+ 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 (* (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of (* (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in K * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) into (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in K * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) into (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 1/3) * [misc]backup-simplify: Simplify (* (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 1/3) (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 1/3)) into (pow (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 2) 1/3) * [misc]backup-simplify: Simplify (sqrt (pow (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 2) 1/3)) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 1/3) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 1/3) 0) (* 0 (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 1/3))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 2) 1/3)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of (* (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) into (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) into (* 1/3 (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into (pow (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) into (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) into (* 1/3 (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into (pow (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) 1/3) * [misc]backup-simplify: Simplify (* (pow (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) 1/3) (pow (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) 1/3)) into (pow (pow (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) 2) 1/3) * [misc]backup-simplify: Simplify (sqrt (pow (pow (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) 2) 1/3)) into (pow (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) 1/3) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) 1/3) 0) (* 0 (pow (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) 1/3))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow (pow (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) 2) 1/3)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/3) * [misc]backup-simplify: Simplify (* (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/3) (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/3)) into (pow (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 2) 1/3) * [misc]backup-simplify: Simplify (sqrt (pow (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 2) 1/3)) into (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/3) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) (+ (* (/ (pow 0 1) 1)))) 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 (+ 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/3) 0) (* 0 (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/3))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 2) 1/3)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 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 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/3) * [misc]backup-simplify: Simplify (* (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/3) (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/3)) into (pow (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 2) 1/3) * [misc]backup-simplify: Simplify (sqrt (pow (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 2) 1/3)) into (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/3) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) (+ (* (/ (pow 0 1) 1)))) 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 (+ 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/3) 0) (* 0 (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/3))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 2) 1/3)))) into 0 * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/3) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/3) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (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 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/3) * [misc]backup-simplify: Simplify (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/3) into (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/3) * [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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) (+ (* (/ (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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) (+ (* (/ (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]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/3) 0) (+ (* 0 0) (* 0 (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/3)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/3))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) (+ (* (/ (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 (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- J)))) (log (/ 1 (- U)))))) 1) 1/3) into (pow (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U)))))) 1/3) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (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 (255 enodes) * [exit]simplify: Simplified to (pow (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (* 2 1/3)) * [misc]simplify: Simplified (2 2 1 1) to (λ (J K U) (* (* (* (* -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)))))) (sqrt (* (pow (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (* 2 1/3)) (cbrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))) * * * * [misc]progress: [ 6 / 69 ] simplifiying candidate # * [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 (242 enodes) * [exit]simplify: Simplified to (pow (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* 1/2 1/3)) * [misc]simplify: Simplified (2 2 1 1) to (λ (J K U) (* (* (* (* -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)))))) (sqrt (* (pow (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* 1/2 1/3)) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))) * * * * [misc]progress: [ 7 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1) to (λ (J K U) (* (* (* (* -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)))))) (sqrt (* 1 (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) * * * * [misc]progress: [ 8 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (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 (265 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (* 3 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (J K U) (* (* (* (* -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)))))) (sqrt (/ (cbrt (+ 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (* 3 2)))) (cbrt (+ (* 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]progress: [ 9 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* 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 (262 enodes) * [exit]simplify: Simplified to (cbrt (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 2 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (J K U) (* (* (* (* -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)))))) (sqrt (/ (cbrt (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 2 2)))) (cbrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) * * * * [misc]progress: [ 10 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (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 (255 enodes) * [exit]simplify: Simplified to (pow (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (* 2 1/3)) * [misc]simplify: Simplified (2 1 2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (pow (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (* 2 1/3)) (cbrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 19 / 69 ] simplifiying candidate # * [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 (242 enodes) * [exit]simplify: Simplified to (pow (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* 1/2 1/3)) * [misc]simplify: Simplified (2 1 2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (pow (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* 1/2 1/3)) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 20 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* 1 (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 21 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (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 (265 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (* 3 2)))) * [misc]simplify: Simplified (2 1 2 1 2 1) to (λ (J K U) (* (* (* (* -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))) (* 3 2)))) (cbrt (+ (* 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))))))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 22 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* 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 (262 enodes) * [exit]simplify: Simplified to (cbrt (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 2 2)))) * [misc]simplify: Simplified (2 1 2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ (cbrt (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 2 2)))) (cbrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 23 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (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 (255 enodes) * [exit]simplify: Simplified to (pow (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (* 2 1/3)) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (* (* (pow (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (* 2 1/3)) (cbrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 32 / 69 ] simplifiying candidate # * [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 (242 enodes) * [exit]simplify: Simplified to (pow (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* 1/2 1/3)) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (* (* (pow (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) (* 1/2 1/3)) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 33 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (* (* 1 (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 34 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (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 (265 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (* 3 2)))) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (* (/ (cbrt (+ 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (* 3 2)))) (cbrt (+ (* 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)))))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 35 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* 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 (262 enodes) * [exit]simplify: Simplified to (cbrt (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 2 2)))) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (* (/ (cbrt (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 2 2)))) (cbrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 36 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 69 ] simplifiying candidate # * [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 (242 enodes) * [exit]simplify: Simplified to (pow (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (* 1/3 1/2)) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (* (pow (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (* 1/3 1/2)) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 47 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))) (cbrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (294 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 3 2)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (/ (cbrt (+ 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 3 2)))) (sqrt (* (cbrt (+ (* 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))))) (cbrt (+ (* 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))))))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 48 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))) (cbrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (373 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (* (+ 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 3 2))) (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 2 2)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (/ (sqrt (cbrt (* (+ 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 3 2))) (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 2 2)))))) (sqrt (* (cbrt (+ (* 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))))) (cbrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 49 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (373 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (* (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 2 2))) (+ (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (* 3 2)) 1)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (/ (sqrt (cbrt (* (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 2 2))) (+ (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (* 3 2)) 1)))) (sqrt (* (cbrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ (* 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))))))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 50 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (291 enodes) * [exit]simplify: Simplified to (cbrt (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 2 2)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (/ (cbrt (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 2 2)))) (sqrt (* (cbrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 51 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ (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 (333 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (* (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 3 2)) 1)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (/ (sqrt (cbrt (* (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 3 2)) 1)))) (sqrt (cbrt (+ (* 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)))))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 52 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (- (* 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 (333 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (* (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (* 2 2)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (/ (sqrt (cbrt (* (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (* 2 2)))))) (sqrt (cbrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 53 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (334 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (* (+ 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 3 2))) (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (/ (sqrt (cbrt (* (+ 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (* 3 2))) (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (sqrt (cbrt (+ (* 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)))))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 54 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (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 (332 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (* (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))) (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 2 2)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (/ (sqrt (cbrt (* (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))) (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 2 2)))))) (sqrt (cbrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 55 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (227 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 57 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 1/3) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (/ (* 1/2 U) J) (/ (* 1/2 U) J)) 1)) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* (* -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)))))) (sqrt (cbrt (+ (* (/ (* 1/2 U) J) (/ (* 1/2 U) J)) 1))))) * * * * [misc]progress: [ 59 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U)))))) 1/3) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (369 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U) (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U)) 1)) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* (* -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)))))) (sqrt (cbrt (+ (* (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U) (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U)) 1))))) * * * * [misc]progress: [ 60 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U)))))) 1/3) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (383 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (/ (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ -1 U)) (/ (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ -1 U))) 1)) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* (* -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)))))) (sqrt (cbrt (+ (* (/ (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ -1 U)) (/ (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ -1 U))) 1))))) * * * * [misc]progress: [ 61 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 1/3) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (/ (* 1/2 U) J) (/ (* 1/2 U) J)) 1)) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ (* (/ (* 1/2 U) J) (/ (* 1/2 U) J)) 1))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 62 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U)))))) 1/3) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (369 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U) (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U)) 1)) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ (* (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U) (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U)) 1))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 63 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U)))))) 1/3) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (383 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (/ (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ -1 U)) (/ (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ -1 U))) 1)) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ (* (/ (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ -1 U)) (/ (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ -1 U))) 1))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 64 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 1/3) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (/ (* 1/2 U) J) (/ (* 1/2 U) J)) 1)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (* (cbrt (+ (* (/ (* 1/2 U) J) (/ (* 1/2 U) J)) 1)) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 65 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U)))))) 1/3) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (369 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U) (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U)) 1)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (* (cbrt (+ (* (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U) (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U)) 1)) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 66 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U)))))) 1/3) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (383 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (/ (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ -1 U)) (/ (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ -1 U))) 1)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (* (cbrt (+ (* (/ (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ -1 U)) (/ (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ -1 U))) 1)) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 67 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 1/3) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (/ (* 1/2 U) J) (/ (* 1/2 U) J)) 1)) * [misc]simplify: Simplified (2 1 2) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (cbrt (+ (* (/ (* 1/2 U) J) (/ (* 1/2 U) J)) 1))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 68 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U)))))) 1/3) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (369 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U) (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U)) 1)) * [misc]simplify: Simplified (2 1 2) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (cbrt (+ (* (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U) (* (/ (* (/ 1 J) 1/2) (cos (* K 1/2))) U)) 1))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 69 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U)))))) 1/3) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (383 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (/ (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ -1 U)) (/ (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ -1 U))) 1)) * [misc]simplify: Simplified (2 1 2) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (cbrt (+ (* (/ (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ -1 U)) (/ (/ (* (/ -1 J) 1/2) (cos (* K 1/2))) (/ -1 U))) 1))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 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 J +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: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [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 7998 / 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 8002 points with exact outputs