* [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 * * * * [misc]points: Sampling 4 additional inputs, on iter 1 have 254 / 256 * * * * [misc]points: Computing exacts for 4 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 258 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (* (cos (/ K 2)) (* -2 J))) * * [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 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) * [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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 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 (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 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 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 1/2) (log U)) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log 1/2) (log U)) (- (log J))) into (- (+ (log 1/2) (log U)) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log 1/2) (log U)) (log J))) into (* 2 (- (+ (log 1/2) (log U)) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) into (exp (* 2 (- (+ (log 1/2) (log 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) (log U)) (log J)))) 1) into (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (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 1/2) (log U)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log 1/2) (log 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) (log U)) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 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 (/ (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 (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (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 (* U (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) 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 (* U (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 (* U (cos (/ 1/2 K))))) 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 (* 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 J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))) into (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) into (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))))) into (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) into (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 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 (* 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 J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log J) (log (/ 1/2 (* 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 (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 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 (+ (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 (- (+ (* 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 (+ (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]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 (+ (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 (- (+ (* 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 (+ (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 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 J * [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 (+ 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 (+ (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 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 (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))) 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]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 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) * [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 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 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 J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))) into (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) into (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))))) into (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1)) into (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 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 (+ (* (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 J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log J) (log (/ 1/2 (* (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 (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) 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 (+ 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 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 J * [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 (+ 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 (- 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 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 (+ (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))) 1)) * * * * [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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) * [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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 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 (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 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 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 (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 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 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 (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -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 (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) 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 (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1)) into (sqrt (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1)) * [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 (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* 1 (sqrt (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1))) into (sqrt (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1)) * [misc]backup-simplify: Simplify (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1))) into (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1))) * [misc]backup-simplify: Simplify (- (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1)))) into (- (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1)))) in U * [misc]taylor: Taking taylor expansion of (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 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 (sqrt (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1) in U * [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 1/2) (log U)) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log 1/2) (log U)) (- (log J))) into (- (+ (log 1/2) (log U)) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log 1/2) (log U)) (log J))) into (* 2 (- (+ (log 1/2) (log U)) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) into (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1) into (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) * [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 1/2) (log U)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log 1/2) (log 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) (log U)) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* 2 (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1))) into (* 2 (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1))) * [misc]backup-simplify: Simplify (- (* 2 (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)))) into (- (* 2 (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)))) * [misc]backup-simplify: Simplify (- (* 2 (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)))) into (- (* 2 (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (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 (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (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 (- (/ 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 (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (sqrt (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (sqrt (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1)))) 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 (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)))) 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 1/2) (log U)) (log J)))) 1)))) (* 1 (* 1 J))) into (* -2 (* (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) 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 (+ (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 (- (+ (* 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 (+ (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]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 (* U (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) 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 (* U (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 (* U (cos (/ 1/2 K))))) 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 (* 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 J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))) into (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) into (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))))) into (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) into (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 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 (* 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 J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log J) (log (/ 1/2 (* 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 (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 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 (* 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 J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))) into (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) into (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))))) into (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) into (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 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 (* 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 J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log J) (log (/ 1/2 (* 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 (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 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 J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1))) into (* -2 (* (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (* -2 (* (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) (cos (/ 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of -2 in K * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) (cos (/ 1/2 K))) in K * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (log J) (log (/ 1/2 (* U (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 (* 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 1) into 1/2 * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (/ 1/2 (* U (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 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))) into (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))) into (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) into (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) * [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 (* U (cos (/ 1/2 K)))))))) 1) into (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) into (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ 1/2 (* U (cos (/ 1/2 K)))) (/ 0 (* U (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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log J) (log (/ 1/2 (* 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 (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) (cos (/ 1/2 K))) into (* (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* -2 (* (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) (cos (/ 1/2 K)))) into (* -2 (* (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (* -2 (* (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) (cos (/ 1/2 K)))) 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 (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) (cos (/ 1/2 K))) in U * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))) 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 J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))) in U * [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]taylor: Taking taylor expansion of (log (/ 1/2 (* U (cos (/ 1/2 K))))) in U * [misc]taylor: Taking taylor expansion of (/ 1/2 (* U (cos (/ 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 (* U (cos (/ 1/2 K))) 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 (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]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]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 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 0) (* 1 (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]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 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 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 (* 1 0) 1)) (pow J 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 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 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) 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 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 (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]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) (cos (/ 1/2 K))) into (* (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* -2 (* (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) (cos (/ 1/2 K)))) into (* -2 (* (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (* -2 (* (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) (cos (/ 1/2 K)))) into (* -2 (* (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -2 (cos (/ 1/2 K))) 0) (* 0 (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 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 (+ (* (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (* (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) (cos (/ 1/2 K))))) 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 (+ (* (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (* (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) (cos (/ 1/2 K))))) 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 (* 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 J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) (+ (* (/ (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 (* U (cos (/ 1/2 K)))))))) 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 J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow J 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow J 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* U 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ 1/2 (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))) (* 0 (/ 0 (* U (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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) (+ (* (/ (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 (* U (cos (/ 1/2 K)))))))) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (* (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) (cos (/ 1/2 K)))))) 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 (* (sqrt (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (/ 1/2 (/ 1 K)))))) (log (/ 1 U))))) 1)) (cos (/ 1/2 (/ 1 K))))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))) 1)))) * [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 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) * [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 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 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 J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))) into (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) into (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))))) into (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1)) into (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 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 (+ (* (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 J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log J) (log (/ 1/2 (* (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 (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) 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 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 J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))) into (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) into (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))))) into (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1)) into (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 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 (+ (* (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 J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log J) (log (/ 1/2 (* (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 (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 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 J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1))) into (* 2 (* (cos (/ -1/2 K)) (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1)))) * [misc]taylor: Taking taylor expansion of (* 2 (* (cos (/ -1/2 K)) (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 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 J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 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 J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) 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)) U)))) 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)) 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]backup-simplify: Simplify (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))) into (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) into (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) 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)) U)))))) 1) into (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1)) into (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log J) (log (/ 1/2 (* (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 (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1))) into (* (cos (/ -1/2 K)) (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1))) * [misc]backup-simplify: Simplify (* 2 (* (cos (/ -1/2 K)) (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1)))) into (* 2 (* (cos (/ -1/2 K)) (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1)))) * [misc]taylor: Taking taylor expansion of (* 2 (* (cos (/ -1/2 K)) (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 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 J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 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 J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))) 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 J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) in U * [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]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]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 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 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 (* 1 0) 1)) (pow J 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 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 (+ 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 (- 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 (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 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 J) (log (/ 1/2 (* (cos (/ -1/2 K)) 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)) U)))))) 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 (- 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 J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) 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)) U)))))) 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 (- 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 (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow J 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow J 1)))) 2) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) 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)) U)))))) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* (cos (/ -1/2 K)) (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 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 (+ (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))) 1)))) * * * * [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 1/2) (log U)) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log 1/2) (log U)) (- (log J))) into (- (+ (log 1/2) (log U)) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log 1/2) (log U)) (log J))) into (* 2 (- (+ (log 1/2) (log U)) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) into (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) into (exp (* 2 (- (+ (log 1/2) (log U)) (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 1/2) (log U)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log 1/2) (log U)) (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 1/2) (log U)) (log J)))) into (exp (* 2 (- (+ (log 1/2) (log U)) (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 (* U (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) 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 (* 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 J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))) into (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) into (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) * [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 J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))) into (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) into (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) 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 (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 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 (- 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 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 (- 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 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]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (* -2 J) (cos (/ K 2))) in (J K) around 0 * [misc]taylor: Taking taylor expansion of (* (* -2 J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (* -2 J) in K * [misc]taylor: Taking taylor expansion of -2 in K * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (* (* -2 J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (* -2 J) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of (* (* -2 J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (* -2 J) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* -2 0) into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* 0 (cos (* 1/2 K))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 1) (* 0 0)) into -2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -2 (cos (* 1/2 K)))) into (- (* 2 (cos (* 1/2 K)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -2 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -2 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -2 (* 1 J)) into (* -2 J) * [misc]approximate: Taking taylor expansion of (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in (J K) around 0 * [misc]taylor: Taking taylor expansion of (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of -2 in K * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* -2 1) into -2 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) * [misc]taylor: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K * [misc]taylor: Taking taylor expansion of -2 in K * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (/ 1 (/ 1 J)))) into (* -2 (* (cos (* 1/2 K)) J)) * [misc]approximate: Taking taylor expansion of (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in (J K) around 0 * [misc]taylor: Taking taylor expansion of (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of -2 in K * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* -2 -1) into 2 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) * [misc]taylor: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in K * [misc]taylor: Taking taylor expansion of -1/2 in K * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (/ 1 (/ 1 (- J))))) into (* -2 (* (cos (* 1/2 K)) J)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (326 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (* (fabs (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) * * * * [misc]progress: [ 8 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (* (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) * * * * [misc]progress: [ 9 / 79 ] 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 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (* (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 3) (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (/ (sqrt (+ 1 (* (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 3) (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 3)))) (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 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)))) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (/ (sqrt (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)))) (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 12 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 79 ] 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 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (fabs (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))) * * * * [misc]progress: [ 14 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (* (cos (/ K 2)) (* -2 J))) * [misc]simplify: Simplified (2 1) to (λ (J K U) (pow (* (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (* (cos (/ K 2)) (* -2 J))) 1)) * * * * [misc]progress: [ 16 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (* (cos (/ K 2)) (* -2 J))) * [misc]simplify: Simplified (2 1) to (λ (J K U) (pow (* (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (* (cos (/ K 2)) (* -2 J))) 1)) * * * * [misc]progress: [ 17 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (* -2 J)) (log (cos (/ K 2)))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (400 enodes) * [exit]simplify: Simplified to (+ (+ (log (* -2 J)) (log (cos (/ K 2)))) (log (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * [misc]simplify: Simplified (2 1) to (λ (J K U) (exp (+ (+ (log (* -2 J)) (log (cos (/ K 2)))) (log (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))))) * * * * [misc]progress: [ 19 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (* -2 J) (cos (/ K 2)))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (log (* (cos (/ K 2)) (* -2 J)))) * [misc]simplify: Simplified (2 1) to (λ (J K U) (exp (+ (log (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (log (* (cos (/ K 2)) (* -2 J)))))) * * * * [misc]progress: [ 20 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* (pow (* -2 J) 3) (cos (/ K 2)))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (pow (* -2 J) 3) (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) (cbrt (* (+ (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* (pow (* -2 J) 3) (cos (/ K 2)))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (* (pow (* -2 J) 3) (cos (/ K 2))))) (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))))) * * * * [misc]progress: [ 23 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* -2 J) (cos (/ K 2))) (* (* -2 J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (+ (* (pow (* (cos (/ K 2)) (* -2 J)) 3) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (pow (* (cos (/ K 2)) (* -2 J)) 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)) (* -2 J)) 3) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (pow (* (cos (/ K 2)) (* -2 J)) 3))))) * * * * [misc]progress: [ 24 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 79 ] 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 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (cbrt (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))) (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))) * * * * [misc]progress: [ 29 / 79 ] 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 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ 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 (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))) * * * * [misc]progress: [ 30 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (sqrt (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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))) * * * * [misc]progress: [ 31 / 79 ] 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 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * [exit]simplify: Simplified to (sqrt (+ 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)) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) * * * * [misc]progress: [ 32 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (sqrt (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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))) * * * * [misc]progress: [ 33 / 79 ] 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 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * [exit]simplify: Simplified to (sqrt (+ 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))) 1) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) * * * * [misc]progress: [ 34 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 J) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* -2 J) * [misc]simplify: Simplified (2 1) to (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 35 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (333 enodes) * [exit]simplify: Simplified to (sqrt (- (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)) (- (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (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 2) J) (cos (/ K 2))) (+ 3 1)) (- (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))) * * * * [misc]progress: [ 36 / 79 ] 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 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (484 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))))) * * * * [misc]progress: [ 37 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ U (* (* 2 J) (cos (/ K 2))))) 2) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (298 enodes) * [exit]simplify: Simplified to (* 2 (log (/ (/ 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 (exp (* 2 (log (/ (/ U (* J 2)) (cos (/ K 2)))))))))) * * * * [misc]progress: [ 39 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ U (* (* 2 J) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 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 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (/ U (* (* 2 J) (cos (/ K 2))))) (cbrt (/ U (* (* 2 J) (cos (/ K 2)))))) 2) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (* (/ (/ U (* J 2)) (cos (/ K 2))) (cbrt (/ (/ 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))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) (pow (cbrt (/ U (* (* 2 J) (cos (/ K 2))))) 2)))))) * * * * [misc]progress: [ 42 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (/ U (* (* 2 J) (cos (/ K 2))))) 2) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) * [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 / 79 ] 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 / 79 ] 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 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* -2 J) (cos (/ K 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (* (cos (/ K 2)) (* -2 J)) * [misc]simplify: Simplified (2 1 1) to (λ (J K U) (* (pow (* (cos (/ K 2)) (* -2 J)) 1) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * * * [misc]progress: [ 54 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* -2 J)) (log (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (+ (log (* -2 J)) (log (cos (/ K 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (J K U) (* (exp (+ (log (* -2 J)) (log (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * * * [misc]progress: [ 56 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (* (* (cos (/ K 2)) (cos (/ K 2))) (* (pow (* -2 J) 3) (cos (/ K 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (J K U) (* (cbrt (* (* (cos (/ K 2)) (cos (/ K 2))) (* (pow (* -2 J) 3) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * * * [misc]progress: [ 59 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cos (/ K 2))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (cos (/ K 2))) * [misc]simplify: Simplified (2 1 2) to (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * * * [misc]progress: [ 64 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (/ K 2))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (cos (/ K 2))) * [misc]simplify: Simplified (2 1 2) to (λ (J K U) (* (* (* (* -2 J) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * * * [misc]progress: [ 65 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (/ K 2)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cos (/ K 2)) * [misc]simplify: Simplified (2 1 2) to (λ (J K U) (* (* (* (* -2 J) 1) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * * * [misc]progress: [ 66 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (213 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (* (* (/ 1/2 J) U) (* (/ 1/2 J) U)))) * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (* (/ 1/2 J) U) (* (/ 1/2 J) U)))))) * * * * [misc]progress: [ 69 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))) 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (* (* (* U (/ 1 J)) (/ 1/2 (cos (* 1/2 K)))) (* (* U (/ 1 J)) (/ 1/2 (cos (* 1/2 K))))))) * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (* (* U (/ 1 J)) (/ 1/2 (cos (* 1/2 K)))) (* (* U (/ 1 J)) (/ 1/2 (cos (* 1/2 K))))))))) * * * * [misc]progress: [ 70 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))) 1)) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (/ 1/2 (cos (* 1/2 K))) (/ (/ -1 J) (/ -1 U))) (* (/ 1/2 (cos (* 1/2 K))) (/ (/ -1 J) (/ -1 U)))) 1)) * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ 1/2 (cos (* 1/2 K))) (/ (/ -1 J) (/ -1 U))) (* (/ 1/2 (cos (* 1/2 K))) (/ (/ -1 J) (/ -1 U)))) 1)))) * * * * [misc]progress: [ 71 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) J)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (223 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* (/ (* U 1/2) J) (/ (* U 1/2) J)))) (* J -2)) * [misc]simplify: Simplified (2) to (λ (J K U) (* (sqrt (+ 1 (* (/ (* U 1/2) J) (/ (* U 1/2) J)))) (* J -2))) * * * * [misc]progress: [ 72 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))) 1)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (337 enodes) * [exit]simplify: Simplified to (* (* (* J -2) (cos (* K 1/2))) (sqrt (+ (* (* (* U (/ 1 J)) (/ 1/2 (cos (* K 1/2)))) (* (* U (/ 1 J)) (/ 1/2 (cos (* K 1/2))))) 1))) * [misc]simplify: Simplified (2) to (λ (J K U) (* (* (* J -2) (cos (* K 1/2))) (sqrt (+ (* (* (* U (/ 1 J)) (/ 1/2 (cos (* K 1/2)))) (* (* U (/ 1 J)) (/ 1/2 (cos (* K 1/2))))) 1)))) * * * * [misc]progress: [ 73 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))) 1)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (332 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* (* (/ (/ -1 J) (/ -1 U)) (/ 1/2 (cos (* K 1/2)))) (* (/ (/ -1 J) (/ -1 U)) (/ 1/2 (cos (* K 1/2))))))) (* (* J -2) (cos (* K 1/2)))) * [misc]simplify: Simplified (2) to (λ (J K U) (* (sqrt (+ 1 (* (* (/ (/ -1 J) (/ -1 U)) (/ 1/2 (cos (* K 1/2)))) (* (/ (/ -1 J) (/ -1 U)) (/ 1/2 (cos (* K 1/2))))))) (* (* J -2) (cos (* K 1/2))))) * * * * [misc]progress: [ 74 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (204 enodes) * [exit]simplify: Simplified to (* (* U (/ 1/2 J)) (* U (/ 1/2 J))) * [misc]simplify: Simplified (2 2 1 2) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (* U (/ 1/2 J)) (* U (/ 1/2 J))))))) * * * * [misc]progress: [ 75 / 79 ] 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 (39 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (280 enodes) * [exit]simplify: Simplified to (* (* (/ 1/2 (cos (* 1/2 K))) (* (/ 1 J) U)) (* (/ 1/2 (cos (* 1/2 K))) (* (/ 1 J) U))) * [misc]simplify: Simplified (2 2 1 2) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (* (/ 1/2 (cos (* 1/2 K))) (* (/ 1 J) U)) (* (/ 1/2 (cos (* 1/2 K))) (* (/ 1 J) U))))))) * * * * [misc]progress: [ 76 / 79 ] 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 (35 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (273 enodes) * [exit]simplify: Simplified to (* (* (/ 1/2 (cos (* 1/2 K))) (/ (/ -1 J) (/ -1 U))) (* (/ 1/2 (cos (* 1/2 K))) (/ (/ -1 J) (/ -1 U)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (* (/ 1/2 (cos (* 1/2 K))) (/ (/ -1 J) (/ -1 U))) (* (/ 1/2 (cos (* 1/2 K))) (/ (/ -1 J) (/ -1 U)))))))) * * * * [misc]progress: [ 77 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 J) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* -2 J) * [misc]simplify: Simplified (2 1) to (λ (J K U) (* (* -2 J) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * * * [misc]progress: [ 78 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (cos (* 1/2 K)) J)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (cos (* K 1/2)) (* J -2)) * [misc]simplify: Simplified (2 1) to (λ (J K U) (* (* (cos (* K 1/2)) (* J -2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * * * [misc]progress: [ 79 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (cos (* 1/2 K)) J)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (cos (* K 1/2)) (* J -2)) * [misc]simplify: Simplified (2 1) to (λ (J K U) (* (* (cos (* K 1/2)) (* J -2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) * [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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 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 (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 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 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 1/2) (log U)) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log 1/2) (log U)) (- (log J))) into (- (+ (log 1/2) (log U)) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log 1/2) (log U)) (log J))) into (* 2 (- (+ (log 1/2) (log U)) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) into (exp (* 2 (- (+ (log 1/2) (log 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) (log U)) (log J)))) 1) into (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (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 1/2) (log U)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log 1/2) (log 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) (log U)) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 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 (/ (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 (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (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 (* U (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) 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 (* U (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 (* U (cos (/ 1/2 K))))) 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 (* 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 J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))) into (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) into (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))))) into (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) into (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 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 (* 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 J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log J) (log (/ 1/2 (* 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 (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 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 (+ (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 (- (+ (* 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 (+ (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]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 (+ (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 (- (+ (* 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 (+ (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 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 J * [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 (+ 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 (+ (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 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 (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))) 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]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 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) * [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 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 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 J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))) into (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) into (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))))) into (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1)) into (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 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 (+ (* (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 J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log J) (log (/ 1/2 (* (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 (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) 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 (+ 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 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 J * [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 (+ 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 (- 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 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 (+ (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))) 1)) * * * * [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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) * [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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 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 (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 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 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 1/2) (log U)) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log 1/2) (log U)) (- (log J))) into (- (+ (log 1/2) (log U)) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log 1/2) (log U)) (log J))) into (* 2 (- (+ (log 1/2) (log U)) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) into (exp (* 2 (- (+ (log 1/2) (log 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) (log U)) (log J)))) 1) into (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (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 1/2) (log U)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log 1/2) (log 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) (log U)) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 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 (/ (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 (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (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 (* U (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) 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 (* U (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 (* U (cos (/ 1/2 K))))) 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 (* 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 J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))) into (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) into (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))))) into (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) into (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 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 (* 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 J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log J) (log (/ 1/2 (* 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 (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 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 (+ (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 (- (+ (* 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 (+ (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]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 (+ (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 (- (+ (* 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 (+ (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 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 J * [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 (+ 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 (+ (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 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 (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))) 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]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 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) * [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 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 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 J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))) into (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) into (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))))) into (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1)) into (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 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 (+ (* (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 J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log J) (log (/ 1/2 (* (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 (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) 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 (+ 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 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 J * [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 (+ 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 (- 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 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 (+ (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))) 1)) * * * * [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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) * [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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) 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 (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 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 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 (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1))) 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 (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log 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]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 1/2) (log U)) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log 1/2) (log U)) (- (log J))) into (- (+ (log 1/2) (log U)) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log 1/2) (log U)) (log J))) into (* 2 (- (+ (log 1/2) (log U)) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) into (exp (* 2 (- (+ (log 1/2) (log 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) (log U)) (log J)))) 1) into (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) into (log (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) * [misc]backup-simplify: Simplify (* 1/4 (log (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1))) into (* 1/4 (log (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/4 (log (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1) 1/4) * [misc]backup-simplify: Simplify (pow (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1) 1/4) into (pow (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 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 (/ (+ (* 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 1/2) (log U)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log 1/2) (log 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) (log U)) (log J)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)))) (+ (* (/ (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 (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1) 1/4) into (pow (+ (exp (* 2 (- (+ (log 1/2) (log U)) (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 (* U (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) 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 (* U (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 (* U (cos (/ 1/2 K))))) 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 (* 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 J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))) into (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) into (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))))) into (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) into (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 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 (* 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 J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log J) (log (/ 1/2 (* 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 (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1))) into (pow (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 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 (+ (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 (- (+ (* 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 (+ (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]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 (+ (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 (- (+ (* 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 (+ (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 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 J * [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]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 (+ (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 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 (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))) 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]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 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) * [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 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) 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 J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))) into (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) into (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))))) into (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1)) into (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 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 (+ (* (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 J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log J) (log (/ 1/2 (* (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 (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1))) into (pow (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) 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]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 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 J * [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]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 (- 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 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 (+ (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))) 1) 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) * [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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))) into (pow (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) 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 (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 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 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 (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1))) 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 (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log 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]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 1/2) (log U)) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log 1/2) (log U)) (- (log J))) into (- (+ (log 1/2) (log U)) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log 1/2) (log U)) (log J))) into (* 2 (- (+ (log 1/2) (log U)) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) into (exp (* 2 (- (+ (log 1/2) (log 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) (log U)) (log J)))) 1) into (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) into (log (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) * [misc]backup-simplify: Simplify (* 1/4 (log (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1))) into (* 1/4 (log (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/4 (log (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1) 1/4) * [misc]backup-simplify: Simplify (pow (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1) 1/4) into (pow (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 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 (/ (+ (* 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 1/2) (log U)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log 1/2) (log 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) (log U)) (log J)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)))) (+ (* (/ (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 (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1) 1/4) into (pow (+ (exp (* 2 (- (+ (log 1/2) (log U)) (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 (* U (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) 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 (* U (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 (* U (cos (/ 1/2 K))))) 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 (* 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 J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))) into (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) into (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))))) into (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) into (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 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 (* 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 J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log J) (log (/ 1/2 (* 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 (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1))) into (pow (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 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 (+ (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 (- (+ (* 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 (+ (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]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 (+ (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 (- (+ (* 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 (+ (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 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 J * [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]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 (+ (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 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 (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))) 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]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 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) * [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 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) into (pow (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))) 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 J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))) into (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) into (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))))) into (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1)) into (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 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 (+ (* (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 J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log J) (log (/ 1/2 (* (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 (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1))) into (pow (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) 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]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 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 J * [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]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 (- 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 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 (+ (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))) 1) 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 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (326 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 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 (* (fabs (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (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 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 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 (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 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 (31 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (* (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 3) (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 3)))) * [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 (* 2 J)) (cos (/ K 2))) 3) (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 3)))) (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 (26 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 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 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)))) (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 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 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 (fabs (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))))) * * * * [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 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (326 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (* (fabs (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (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 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (* (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 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 (31 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (* (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 3) (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 3)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (/ (sqrt (+ 1 (* (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 3) (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 3)))) (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 (26 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (/ (sqrt (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)))) (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 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (fabs (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))) (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 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (fabs (cbrt (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 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 (cbrt (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (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 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (fabs (cbrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 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 (fabs (cbrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 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 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 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 (sqrt (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 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 (5 enodes) * [exit]simplify: Simplified to (sqrt (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 (sqrt 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 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 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 (sqrt (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 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 (32 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 (pow (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 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))))) (/ (sqrt (sqrt (+ 1 (pow (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 3)))) (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 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (pow (/ (/ U (* 2 J)) (cos (/ K 2))) (+ 3 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 (pow (/ (/ U (* 2 J)) (cos (/ K 2))) (+ 3 1))))) (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 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 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 (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 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 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 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 (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 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 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (fabs (cbrt (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (* (fabs (cbrt (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))))) (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 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (fabs (cbrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (* (sqrt (fabs (cbrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 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 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (* (sqrt (sqrt (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 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 (5 enodes) * [exit]simplify: Simplified to (sqrt (sqrt 1)) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (* (sqrt (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: [ 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 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (* (sqrt (sqrt (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 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 (32 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 (pow (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 3)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (/ (sqrt (sqrt (+ 1 (pow (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 3)))) (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 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (pow (/ (/ U (* 2 J)) (cos (/ K 2))) (+ 3 1))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (/ (sqrt (sqrt (- 1 (pow (/ (/ U (* 2 J)) (cos (/ K 2))) (+ 3 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: [ 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 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (fabs (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 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 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (fabs (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 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 1/2) (log U)) (log J)))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (213 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (* (* (/ 1/2 J) U) (* (/ 1/2 J) U)))) * [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 (* (* (/ 1/2 J) U) (* (/ 1/2 J) U))))))) * * * * [misc]progress: [ 66 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))) 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (* (* (* U (/ 1 J)) (/ 1/2 (cos (* 1/2 K)))) (* (* U (/ 1 J)) (/ 1/2 (cos (* 1/2 K))))))) * [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 (* (* (* U (/ 1 J)) (/ 1/2 (cos (* 1/2 K)))) (* (* U (/ 1 J)) (/ 1/2 (cos (* 1/2 K)))))))))) * * * * [misc]progress: [ 67 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))) 1)) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (/ 1/2 (cos (* 1/2 K))) (/ (/ -1 J) (/ -1 U))) (* (/ 1/2 (cos (* 1/2 K))) (/ (/ -1 J) (/ -1 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 (+ (* (* (/ 1/2 (cos (* 1/2 K))) (/ (/ -1 J) (/ -1 U))) (* (/ 1/2 (cos (* 1/2 K))) (/ (/ -1 J) (/ -1 U)))) 1))))) * * * * [misc]progress: [ 68 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (213 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (* (* (/ 1/2 J) U) (* (/ 1/2 J) U)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (* (* (/ 1/2 J) U) (* (/ 1/2 J) U)))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 69 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))) 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (* (* (* U (/ 1 J)) (/ 1/2 (cos (* 1/2 K)))) (* (* U (/ 1 J)) (/ 1/2 (cos (* 1/2 K))))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (* (* (* U (/ 1 J)) (/ 1/2 (cos (* 1/2 K)))) (* (* U (/ 1 J)) (/ 1/2 (cos (* 1/2 K))))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 70 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))) 1)) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (/ 1/2 (cos (* 1/2 K))) (/ (/ -1 J) (/ -1 U))) (* (/ 1/2 (cos (* 1/2 K))) (/ (/ -1 J) (/ -1 U)))) 1)) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ (* (* (/ 1/2 (cos (* 1/2 K))) (/ (/ -1 J) (/ -1 U))) (* (/ 1/2 (cos (* 1/2 K))) (/ (/ -1 J) (/ -1 U)))) 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 1/2) (log U)) (log J)))) 1) 1/4) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (218 enodes) * [exit]simplify: Simplified to (pow (+ 1 (* (* (/ 1/2 J) U) (* (/ 1/2 J) U))) 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 (* (* (/ 1/2 J) U) (* (/ 1/2 J) U))) 1/4))) * * * * [misc]progress: [ 72 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))) 1) 1/4) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (280 enodes) * [exit]simplify: Simplified to (pow (+ 1 (* (* (/ 1/2 (cos (* 1/2 K))) (* (/ 1 J) U)) (* (/ 1/2 (cos (* 1/2 K))) (* (/ 1 J) U)))) 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 (* (* (/ 1/2 (cos (* 1/2 K))) (* (/ 1 J) U)) (* (/ 1/2 (cos (* 1/2 K))) (* (/ 1 J) U)))) 1/4))) * * * * [misc]progress: [ 73 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))) 1) 1/4) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (280 enodes) * [exit]simplify: Simplified to (pow (+ (* (* (/ (/ -1 J) (/ -1 U)) (/ 1/2 (cos (* 1/2 K)))) (* (/ (/ -1 J) (/ -1 U)) (/ 1/2 (cos (* 1/2 K))))) 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 U)) (/ 1/2 (cos (* 1/2 K)))) (* (/ (/ -1 J) (/ -1 U)) (/ 1/2 (cos (* 1/2 K))))) 1) 1/4))) * * * * [misc]progress: [ 74 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1) 1/4) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (218 enodes) * [exit]simplify: Simplified to (pow (+ 1 (* (* (/ 1/2 J) U) (* (/ 1/2 J) U))) 1/4) * [misc]simplify: Simplified (2 1 2) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (pow (+ 1 (* (* (/ 1/2 J) U) (* (/ 1/2 J) U))) 1/4)) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 75 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))) 1) 1/4) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (280 enodes) * [exit]simplify: Simplified to (pow (+ 1 (* (* (/ 1/2 (cos (* 1/2 K))) (* (/ 1 J) U)) (* (/ 1/2 (cos (* 1/2 K))) (* (/ 1 J) U)))) 1/4) * [misc]simplify: Simplified (2 1 2) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (pow (+ 1 (* (* (/ 1/2 (cos (* 1/2 K))) (* (/ 1 J) U)) (* (/ 1/2 (cos (* 1/2 K))) (* (/ 1 J) U)))) 1/4)) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 76 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))) 1) 1/4) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (280 enodes) * [exit]simplify: Simplified to (pow (+ (* (* (/ (/ -1 J) (/ -1 U)) (/ 1/2 (cos (* 1/2 K)))) (* (/ (/ -1 J) (/ -1 U)) (/ 1/2 (cos (* 1/2 K))))) 1) 1/4) * [misc]simplify: Simplified (2 1 2) to (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (pow (+ (* (* (/ (/ -1 J) (/ -1 U)) (/ 1/2 (cos (* 1/2 K)))) (* (/ (/ -1 J) (/ -1 U)) (/ 1/2 (cos (* 1/2 K))))) 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 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 J) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (* 2 J) 1) into (* 2 J) * [misc]backup-simplify: Simplify (/ U (* 2 J)) into (* 1/2 (/ U J)) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U J))) into (log (* 1/2 (/ U J))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ U J)))) into (* 2 (log (* 1/2 (/ U J)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ U J))))) into (pow (* 1/2 (/ U J)) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ U J)) 2)) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) * [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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 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 (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 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 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 1/2) (log U)) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log 1/2) (log U)) (- (log J))) into (- (+ (log 1/2) (log U)) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log 1/2) (log U)) (log J))) into (* 2 (- (+ (log 1/2) (log U)) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) into (exp (* 2 (- (+ (log 1/2) (log 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) (log U)) (log J)))) 1) into (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (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 1/2) (log U)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log 1/2) (log 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) (log U)) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 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 (/ (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 (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (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 (* U (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) 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 (* U (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 (* U (cos (/ 1/2 K))))) 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 (* 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 J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))) into (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) into (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))))) into (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) into (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 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 (* 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 J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log J) (log (/ 1/2 (* 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 (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 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 (+ (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 (- (+ (* 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 (+ (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]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 (+ (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 (- (+ (* 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 (+ (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 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 J * [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 (+ 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 (+ (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 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 (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))) 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]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 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) * [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 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 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 J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))) into (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) into (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))))) into (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1)) into (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 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 (+ (* (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 J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log J) (log (/ 1/2 (* (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 (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) 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 (+ 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 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 J * [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 (+ 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 (- 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 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 (+ (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))) 1)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -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 (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in U * [misc]taylor: Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 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 (* (* -2 J) (cos (/ K 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]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 (log (* -2 (* (cos (* 1/2 K)) J))) into (log (* -2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 (* (cos (* 1/2 K)) J)))) into (* 1/3 (log (* -2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 (* (cos (* 1/2 K)) J))))) into (pow (* -2 (* (cos (* 1/2 K)) J)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in U * [misc]taylor: Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 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 (* (* -2 J) (cos (/ K 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]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 (log (* -2 (* (cos (* 1/2 K)) J))) into (log (* -2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 (* (cos (* 1/2 K)) J)))) into (* 1/3 (log (* -2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 (* (cos (* 1/2 K)) J))))) into (pow (* -2 (* (cos (* 1/2 K)) J)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in U * [misc]taylor: Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 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 (* (* -2 J) (cos (/ K 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]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 (log (* -2 (* (cos (* 1/2 K)) J))) into (log (* -2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 (* (cos (* 1/2 K)) J)))) into (* 1/3 (log (* -2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 (* (cos (* 1/2 K)) J))))) into (pow (* -2 (* (cos (* 1/2 K)) J)) 1/3) * [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 (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in K * [misc]taylor: Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 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 (* (* -2 J) (cos (/ K 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]backup-simplify: Simplify (* -2 J) into (* -2 J) * [misc]backup-simplify: Simplify (* (* -2 J) 1) into (* -2 J) * [misc]backup-simplify: Simplify (log (* -2 J)) into (log (* -2 J)) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 J))) into (* 1/3 (log (* -2 J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 J)))) into (pow (* -2 J) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in K * [misc]taylor: Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 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 (* (* -2 J) (cos (/ K 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]backup-simplify: Simplify (* -2 J) into (* -2 J) * [misc]backup-simplify: Simplify (* (* -2 J) 1) into (* -2 J) * [misc]backup-simplify: Simplify (log (* -2 J)) into (log (* -2 J)) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 J))) into (* 1/3 (log (* -2 J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 J)))) into (pow (* -2 J) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in K * [misc]taylor: Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 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 (* (* -2 J) (cos (/ K 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]backup-simplify: Simplify (* -2 J) into (* -2 J) * [misc]backup-simplify: Simplify (* (* -2 J) 1) into (* -2 J) * [misc]backup-simplify: Simplify (log (* -2 J)) into (log (* -2 J)) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 J))) into (* 1/3 (log (* -2 J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 J)))) into (pow (* -2 J) 1/3) * [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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) * [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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 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 (* (* -2 J) (cos (/ K 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]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 (log (- (* 2 (cos (* 1/2 K))))) into (log (- (* 2 (cos (* 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) into (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) into (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 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 (* (* -2 J) (cos (/ K 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]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 (log (- (* 2 (cos (* 1/2 K))))) into (log (- (* 2 (cos (* 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) into (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) into (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 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 (* (* -2 J) (cos (/ K 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]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 (log (- (* 2 (cos (* 1/2 K))))) into (log (- (* 2 (cos (* 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) into (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) into (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 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 (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 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 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 (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 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 (* (* -2 J) (cos (/ K 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]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 (log (- (* 2 (cos (* 1/2 K))))) into (log (- (* 2 (cos (* 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) into (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) into (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 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 (* (* -2 J) (cos (/ K 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]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 (log (- (* 2 (cos (* 1/2 K))))) into (log (- (* 2 (cos (* 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) into (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) into (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 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 (* (* -2 J) (cos (/ K 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]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 (log (- (* 2 (cos (* 1/2 K))))) into (log (- (* 2 (cos (* 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) into (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) into (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 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 (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 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 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 (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))))) into (pow (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 2) * [misc]backup-simplify: Simplify (* (pow (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 2) (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))))) into (pow (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 3) * [misc]backup-simplify: Simplify (* (pow (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 3) (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1))) into (* (pow (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 3) (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1))) * [misc]taylor: Taking taylor expansion of (* (pow (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 3) (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1))) in K * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 3) in K * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))))))) in K * [misc]taylor: Taking taylor expansion of (* 3 (log (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))))) 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 (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))))) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) 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 J) (log (- (* 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 (- (* 2 (cos (* 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (log -2) into (log -2) * [misc]backup-simplify: Simplify (+ (log J) (log -2)) into (+ (log J) (log -2)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log J) (log -2))) into (* 1/3 (+ (log J) (log -2))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log J) (log -2)))) into (exp (* 1/3 (+ (log J) (log -2)))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (+ (log J) (log -2))))) into (* 1/3 (+ (log J) (log -2))) * [misc]backup-simplify: Simplify (* 3 (* 1/3 (+ (log J) (log -2)))) into (+ (log J) (log -2)) * [misc]backup-simplify: Simplify (exp (+ (log J) (log -2))) into (exp (+ (log J) (log -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 (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1)) into (sqrt (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1)) * [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 (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log J) (log -2))) (sqrt (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1))) into (* (exp (+ (log J) (log -2))) (sqrt (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1))) * [misc]taylor: Taking taylor expansion of (* (exp (+ (log J) (log -2))) (sqrt (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1))) in U * [misc]taylor: Taking taylor expansion of (exp (+ (log J) (log -2))) in U * [misc]taylor: Taking taylor expansion of (+ (log J) (log -2)) in U * [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]taylor: Taking taylor expansion of (log -2) in U * [misc]taylor: Taking taylor expansion of -2 in U * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (log -2) into (log -2) * [misc]backup-simplify: Simplify (+ (log J) (log -2)) into (+ (log J) (log -2)) * [misc]backup-simplify: Simplify (exp (+ (log J) (log -2))) into (exp (+ (log J) (log -2))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1) in U * [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 1/2) (log U)) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log 1/2) (log U)) (- (log J))) into (- (+ (log 1/2) (log U)) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log 1/2) (log U)) (log J))) into (* 2 (- (+ (log 1/2) (log U)) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) into (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1) into (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) * [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 1/2) (log U)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log 1/2) (log 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) (log U)) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log J) (log -2))) (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1))) into (* (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) (exp (+ (log J) (log -2)))) * [misc]backup-simplify: Simplify (* (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) (exp (+ (log J) (log -2)))) into (* (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) (exp (+ (log J) (log -2)))) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) (+ (* (/ (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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) (+ (* (/ (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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 0) (* 0 (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 2) 0) (* 0 (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 3) 0) (* 0 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log J) (log -2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log -2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (+ (log J) (log -2)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (* 1/3 (+ (log J) (log -2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log J) (log -2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (+ (log J) (log -2))) 0) (* 0 (sqrt (+ (exp (* 2 (- (log (* 1/2 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log J) (log -2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (+ (log J) (log -2))) 0) (* 0 (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)))) 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 (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (* 2 (cos (* 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (* 2 (cos (* 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (* 2 (cos (* 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 3) 0) (+ (* 0 0) (* 0 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* U (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into (* 1/8 U) * [misc]backup-simplify: Simplify (+ (* 1/2 (* 1/8 U)) (+ (* 0 0) (* 0 U))) into (* 1/16 U) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 U) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/16 U)) 1)) (pow (* 1/2 U) 1)))) 2) into 1/8 * [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) into 0 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ (* 2 1/8) (+ (* 0 0) (* 0 (- (log (* 1/2 U)) (log J))))) into 1/4 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 U)) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/4 1) 1)))) into (* 1/4 (exp (* 2 (- (log (* 1/2 U)) (log J))))) * [misc]backup-simplify: Simplify (+ (* 1/4 (exp (* 2 (- (log (* 1/2 U)) (log J))))) 0) into (* 1/4 (exp (* 2 (- (log (* 1/2 U)) (log J))))) * [misc]backup-simplify: Simplify (/ (- (* 1/4 (exp (* 2 (- (log (* 1/2 U)) (log J))))) (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1)))) into (* 1/8 (* (exp (* 2 (- (log (* 1/2 U)) (log J)))) (sqrt (/ 1 (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1))))) * [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) into 0 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* 2 (- 1/8)) (+ (* 0 0) (* 0 1))) into -1/4 * [misc]backup-simplify: Simplify (- -1/4) into 1/4 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 1/4) 1)) (pow -2 1)))) 2) into -1/8 * [misc]backup-simplify: Simplify (+ 0 -1/8) into -1/8 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 (+ (log J) (log -2))))) into (- 1/24) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log -2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/24) 1) 1)))) into (* -1/24 (exp (* 1/3 (+ (log J) (log -2))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/3 (+ (log J) (log -2)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1/24 (exp (* 1/3 (+ (log J) (log -2)))))) 1)) (pow (exp (* 1/3 (+ (log J) (log -2)))) 1)))) 2) into -1/24 * [misc]backup-simplify: Simplify (+ (* 3 -1/24) (+ (* 0 0) (* 0 (* 1/3 (+ (log J) (log -2)))))) into (- 1/8) * [misc]backup-simplify: Simplify (* (exp (+ (log J) (log -2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/8) 1) 1)))) into (* -1/8 (exp (+ (log J) (log -2)))) * [misc]backup-simplify: Simplify (+ (* (exp (+ (log J) (log -2))) (* 1/8 (* (exp (* 2 (- (log (* 1/2 U)) (log J)))) (sqrt (/ 1 (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1)))))) (+ (* 0 0) (* (* -1/8 (exp (+ (log J) (log -2)))) (sqrt (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1))))) into (- (* 1/8 (* (* (exp (* 2 (- (log (* 1/2 U)) (log J)))) (exp (+ (log J) (log -2)))) (sqrt (/ 1 (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1))))) (* 1/8 (* (exp (+ (log J) (log -2))) (sqrt (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1))))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (* (exp (* 2 (- (log (* 1/2 U)) (log J)))) (exp (+ (log J) (log -2)))) (sqrt (/ 1 (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1))))) (* 1/8 (* (exp (+ (log J) (log -2))) (sqrt (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1))))) in U * [misc]taylor: Taking taylor expansion of (* 1/8 (* (* (exp (* 2 (- (log (* 1/2 U)) (log J)))) (exp (+ (log J) (log -2)))) (sqrt (/ 1 (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1))))) in U * [misc]taylor: Taking taylor expansion of 1/8 in U * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (* (exp (* 2 (- (log (* 1/2 U)) (log J)))) (exp (+ (log J) (log -2)))) (sqrt (/ 1 (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1)))) in U * [misc]taylor: Taking taylor expansion of (* (exp (* 2 (- (log (* 1/2 U)) (log J)))) (exp (+ (log J) (log -2)))) in U * [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 1/2) (log U)) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log 1/2) (log U)) (- (log J))) into (- (+ (log 1/2) (log U)) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log 1/2) (log U)) (log J))) into (* 2 (- (+ (log 1/2) (log U)) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) into (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) * [misc]taylor: Taking taylor expansion of (exp (+ (log J) (log -2))) in U * [misc]taylor: Taking taylor expansion of (+ (log J) (log -2)) in U * [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]taylor: Taking taylor expansion of (log -2) in U * [misc]taylor: Taking taylor expansion of -2 in U * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (log -2) into (log -2) * [misc]backup-simplify: Simplify (+ (log J) (log -2)) into (+ (log J) (log -2)) * [misc]backup-simplify: Simplify (exp (+ (log J) (log -2))) into (exp (+ (log J) (log -2))) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1) in U * [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 1/2) (log U)) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log 1/2) (log U)) (- (log J))) into (- (+ (log 1/2) (log U)) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log 1/2) (log U)) (log J))) into (* 2 (- (+ (log 1/2) (log U)) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) into (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1) into (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1) * [misc]backup-simplify: Simplify (/ 1 (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) into (/ 1 (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1))) into (sqrt (/ 1 (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1))) * [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 1/2) (log U)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) (/ 0 (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (exp (+ (log J) (log -2))) (sqrt (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1)))) in U * [misc]taylor: Taking taylor expansion of 1/8 in U * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (exp (+ (log J) (log -2))) (sqrt (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1))) in U * [misc]taylor: Taking taylor expansion of (exp (+ (log J) (log -2))) in U * [misc]taylor: Taking taylor expansion of (+ (log J) (log -2)) in U * [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]taylor: Taking taylor expansion of (log -2) in U * [misc]taylor: Taking taylor expansion of -2 in U * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (log -2) into (log -2) * [misc]backup-simplify: Simplify (+ (log J) (log -2)) into (+ (log J) (log -2)) * [misc]backup-simplify: Simplify (exp (+ (log J) (log -2))) into (exp (+ (log J) (log -2))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1) in U * [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 1/2) (log U)) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log 1/2) (log U)) (- (log J))) into (- (+ (log 1/2) (log U)) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log 1/2) (log U)) (log J))) into (* 2 (- (+ (log 1/2) (log U)) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) into (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1) into (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) * [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 1/2) (log U)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log 1/2) (log 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) (log U)) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) (exp (+ (log J) (log -2)))) into (* (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) (exp (+ (log J) (log -2)))) * [misc]backup-simplify: Simplify (* (* (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) (exp (+ (log J) (log -2)))) (sqrt (/ 1 (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)))) into (* (* (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) (exp (+ (log J) (log -2)))) (sqrt (/ 1 (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)))) * [misc]backup-simplify: Simplify (* 1/8 (* (* (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) (exp (+ (log J) (log -2)))) (sqrt (/ 1 (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1))))) into (* 1/8 (* (* (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) (exp (+ (log J) (log -2)))) (sqrt (/ 1 (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1))))) * [misc]backup-simplify: Simplify (* (exp (+ (log J) (log -2))) (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1))) into (* (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) (exp (+ (log J) (log -2)))) * [misc]backup-simplify: Simplify (* 1/8 (* (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) (exp (+ (log J) (log -2))))) into (* 1/8 (* (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) (exp (+ (log J) (log -2))))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) (exp (+ (log J) (log -2)))))) into (- (* 1/8 (* (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) (exp (+ (log J) (log -2)))))) * [misc]backup-simplify: Simplify (+ (* 1/8 (* (* (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) (exp (+ (log J) (log -2)))) (sqrt (/ 1 (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1))))) (- (* 1/8 (* (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) (exp (+ (log J) (log -2))))))) into (- (* 1/8 (* (* (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) (exp (+ (log J) (log -2)))) (sqrt (/ 1 (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1))))) (* 1/8 (* (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) (exp (+ (log J) (log -2)))))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (* (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) (exp (+ (log J) (log -2)))) (sqrt (/ 1 (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1))))) (* 1/8 (* (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) (exp (+ (log J) (log -2)))))) into (- (* 1/8 (* (* (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) (exp (+ (log J) (log -2)))) (sqrt (/ 1 (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1))))) (* 1/8 (* (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) (exp (+ (log J) (log -2)))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log 1/2) (log U)) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log 1/2) (log 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) (log U)) (log J)))) 1)))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log J) (log -2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (+ (log J) (log -2))) 0) (+ (* 0 0) (* 0 (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1))))) 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 (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 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))))) (* 0 (/ 0 (* 2 (cos (* 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/2 (/ U (cos (* 1/2 K)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 1/2 (/ U (cos (* 1/2 K)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/2 (/ U (cos (* 1/2 K)))) 1)))) 6) 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 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 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) 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 (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (* 2 (cos (* 1/2 K)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) 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 (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (* 2 (cos (* 1/2 K)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) 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 (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (* 2 (cos (* 1/2 K)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (+ (* (- (* 1/8 (* (* (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) (exp (+ (log J) (log -2)))) (sqrt (/ 1 (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1))))) (* 1/8 (* (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) (exp (+ (log J) (log -2)))))) (pow (* 1 (* K 1)) 2)) (* (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) (exp (+ (log J) (log -2))))) into (- (+ (* 1/8 (* (* (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) (* (pow K 2) (exp (+ (log J) (log -2))))) (sqrt (/ 1 (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1))))) (* (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) (exp (+ (log J) (log -2))))) (* 1/8 (* (* (pow K 2) (exp (+ (log J) (log -2)))) (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1))))) * [misc]approximate: Taking taylor expansion of (* (* (* (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) (cbrt (* (* -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 (* (* (* (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) (cbrt (* (* -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 (* (* (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (* (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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 (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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]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 (log (* -2 (/ (cos (/ 1/2 K)) J))) into (log (* -2 (/ (cos (/ 1/2 K)) J))) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 (/ (cos (/ 1/2 K)) J)))) into (* 1/3 (log (* -2 (/ (cos (/ 1/2 K)) J)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 (/ (cos (/ 1/2 K)) J))))) into (pow (* -2 (/ (cos (/ 1/2 K)) J)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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 (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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]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 (log (* -2 (/ (cos (/ 1/2 K)) J))) into (log (* -2 (/ (cos (/ 1/2 K)) J))) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 (/ (cos (/ 1/2 K)) J)))) into (* 1/3 (log (* -2 (/ (cos (/ 1/2 K)) J)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 (/ (cos (/ 1/2 K)) J))))) into (pow (* -2 (/ (cos (/ 1/2 K)) J)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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 (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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]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 (log (* -2 (/ (cos (/ 1/2 K)) J))) into (log (* -2 (/ (cos (/ 1/2 K)) J))) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 (/ (cos (/ 1/2 K)) J)))) into (* 1/3 (log (* -2 (/ (cos (/ 1/2 K)) J)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 (/ (cos (/ 1/2 K)) J))))) into (pow (* -2 (/ (cos (/ 1/2 K)) J)) 1/3) * [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 (+ (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 (- (+ (* 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 (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) (cbrt (* (* -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 (* (* (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (* (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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 (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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]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 (log (* -2 (/ (cos (/ 1/2 K)) J))) into (log (* -2 (/ (cos (/ 1/2 K)) J))) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 (/ (cos (/ 1/2 K)) J)))) into (* 1/3 (log (* -2 (/ (cos (/ 1/2 K)) J)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 (/ (cos (/ 1/2 K)) J))))) into (pow (* -2 (/ (cos (/ 1/2 K)) J)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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 (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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]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 (log (* -2 (/ (cos (/ 1/2 K)) J))) into (log (* -2 (/ (cos (/ 1/2 K)) J))) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 (/ (cos (/ 1/2 K)) J)))) into (* 1/3 (log (* -2 (/ (cos (/ 1/2 K)) J)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 (/ (cos (/ 1/2 K)) J))))) into (pow (* -2 (/ (cos (/ 1/2 K)) J)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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 (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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]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 (log (* -2 (/ (cos (/ 1/2 K)) J))) into (log (* -2 (/ (cos (/ 1/2 K)) J))) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 (/ (cos (/ 1/2 K)) J)))) into (* 1/3 (log (* -2 (/ (cos (/ 1/2 K)) J)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 (/ (cos (/ 1/2 K)) J))))) into (pow (* -2 (/ (cos (/ 1/2 K)) J)) 1/3) * [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 (* U (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) 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 (* U (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 (* U (cos (/ 1/2 K))))) 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 (* (* (* (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) (cbrt (* (* -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 (* (* (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (* (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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 (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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]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 (log (* -2 (cos (/ 1/2 K)))) into (log (* -2 (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* -2 (cos (/ 1/2 K))))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) into (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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 (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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]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 (log (* -2 (cos (/ 1/2 K)))) into (log (* -2 (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* -2 (cos (/ 1/2 K))))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) into (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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 (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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]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 (log (* -2 (cos (/ 1/2 K)))) into (log (* -2 (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* -2 (cos (/ 1/2 K))))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) into (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log 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 (* 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 J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))) into (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) into (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))))) into (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) into (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 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 (* 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 J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log J) (log (/ 1/2 (* 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 (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) (cbrt (* (* -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 (* (* (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (* (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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 (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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]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 (log (* -2 (cos (/ 1/2 K)))) into (log (* -2 (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* -2 (cos (/ 1/2 K))))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) into (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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 (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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]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 (log (* -2 (cos (/ 1/2 K)))) into (log (* -2 (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* -2 (cos (/ 1/2 K))))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) into (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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 (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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]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 (log (* -2 (cos (/ 1/2 K)))) into (log (* -2 (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* -2 (cos (/ 1/2 K))))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) into (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log 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 (* 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 J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))) into (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) into (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))))) into (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) into (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 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 (* 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 J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log J) (log (/ 1/2 (* 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 (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) into (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 2) * [misc]backup-simplify: Simplify (* (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 2) (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) into (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 3) * [misc]backup-simplify: Simplify (* (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 3) (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1))) into (* (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 3)) * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 3)) in K * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (log J) (log (/ 1/2 (* U (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 (* 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 1) into 1/2 * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (/ 1/2 (* U (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 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))) into (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))) into (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) into (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) * [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 (* U (cos (/ 1/2 K)))))))) 1) into (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) into (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ 1/2 (* U (cos (/ 1/2 K)))) (/ 0 (* U (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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log J) (log (/ 1/2 (* 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 (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 3) in K * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))))) in K * [misc]taylor: Taking taylor expansion of (* 3 (log (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))))) 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 (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) 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 (* -2 (cos (/ 1/2 K)))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (* -2 (cos (/ 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K * [misc]taylor: Taking taylor expansion of -2 in K * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (* -2 (cos (/ 1/2 K)))) into (log (* -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]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (log (* -2 (cos (/ 1/2 K)))) (- (log J))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) into (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) into (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (* 3 (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (exp (- (log (* -2 (cos (/ 1/2 K)))) (log J))) into (exp (- (log (* -2 (cos (/ 1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (* (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) (exp (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into (* (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) (exp (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) (exp (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) in U * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))) 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 J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))) in U * [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]taylor: Taking taylor expansion of (log (/ 1/2 (* U (cos (/ 1/2 K))))) in U * [misc]taylor: Taking taylor expansion of (/ 1/2 (* U (cos (/ 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 (* U (cos (/ 1/2 K))) 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 (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]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]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 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 0) (* 1 (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]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 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 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 (* 1 0) 1)) (pow J 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 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 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) 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 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 (exp (- (log (* -2 (cos (/ 1/2 K)))) (log J))) in U * [misc]taylor: Taking taylor expansion of (- (log (* -2 (cos (/ 1/2 K)))) (log J)) in U * [misc]taylor: Taking taylor expansion of (log (* -2 (cos (/ 1/2 K)))) in U * [misc]taylor: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) 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)) 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]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-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 (log (* -2 (cos (/ 1/2 K)))) into (log (* -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 (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (log (* -2 (cos (/ 1/2 K)))) (- (log J))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (exp (- (log (* -2 (cos (/ 1/2 K)))) (log J))) into (exp (- (log (* -2 (cos (/ 1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (* (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) (exp (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into (* (exp (- (log (* -2 (cos (/ 1/2 K)))) (log J))) (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (* (exp (- (log (* -2 (cos (/ 1/2 K)))) (log J))) (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) into (* (exp (- (log (* -2 (cos (/ 1/2 K)))) (log J))) (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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* -2 (cos (/ 1/2 K))))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (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 (- (+ (* (/ 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* -2 (cos (/ 1/2 K))))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (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 (- (+ (* (/ 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* -2 (cos (/ 1/2 K))))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 0) (* 0 (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 2) 0) (* 0 (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 3) 0) (* 0 (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 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 (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* -2 (cos (/ 1/2 K)))) (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) 0) (* 0 (exp (- (log (* -2 (cos (/ 1/2 K)))) (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 (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* -2 (cos (/ 1/2 K)))) (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) 0) (* 0 (exp (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) 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 (* 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 J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) (+ (* (/ (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 (* U (cos (/ 1/2 K)))))))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* -2 (cos (/ 1/2 K))))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (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 (- (+ (* (/ 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* -2 (cos (/ 1/2 K))))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (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 (- (+ (* (/ 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* -2 (cos (/ 1/2 K))))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 3) 0) (+ (* 0 0) (* 0 (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 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 (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* -2 (cos (/ 1/2 K)))) (log J))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (+ (* U 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ 1/2 (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))) (* 0 (/ 0 (* U (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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) (+ (* (/ (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 (* U (cos (/ 1/2 K)))))))) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) 0) (+ (* 0 0) (* 0 (exp (- (log (* -2 (cos (/ 1/2 K)))) (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 (* (exp (- (log (* -2 (cos (/ 1/2 (/ 1 K))))) (log (/ 1 J)))) (sqrt (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (/ 1/2 (/ 1 K)))))) (log (/ 1 U))))) 1))) into (* (sqrt (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))) 1)) (exp (- (log (* -2 (cos (* 1/2 K)))) (log (/ 1 J))))) * [misc]approximate: Taking taylor expansion of (* (* (* (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) (cbrt (* (* -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 (* (* (* (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) (cbrt (* (* -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 (* (* (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (* (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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 (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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]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 (log (* 2 (/ (cos (/ -1/2 K)) J))) into (log (* 2 (/ (cos (/ -1/2 K)) J))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 2 (/ (cos (/ -1/2 K)) J)))) into (* 1/3 (log (* 2 (/ (cos (/ -1/2 K)) J)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 2 (/ (cos (/ -1/2 K)) J))))) into (pow (* 2 (/ (cos (/ -1/2 K)) J)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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 (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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]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 (log (* 2 (/ (cos (/ -1/2 K)) J))) into (log (* 2 (/ (cos (/ -1/2 K)) J))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 2 (/ (cos (/ -1/2 K)) J)))) into (* 1/3 (log (* 2 (/ (cos (/ -1/2 K)) J)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 2 (/ (cos (/ -1/2 K)) J))))) into (pow (* 2 (/ (cos (/ -1/2 K)) J)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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 (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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]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 (log (* 2 (/ (cos (/ -1/2 K)) J))) into (log (* 2 (/ (cos (/ -1/2 K)) J))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 2 (/ (cos (/ -1/2 K)) J)))) into (* 1/3 (log (* 2 (/ (cos (/ -1/2 K)) J)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 2 (/ (cos (/ -1/2 K)) J))))) into (pow (* 2 (/ (cos (/ -1/2 K)) J)) 1/3) * [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 (* (* (* (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) (cbrt (* (* -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 (* (* (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (* (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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 (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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]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 (log (* 2 (/ (cos (/ -1/2 K)) J))) into (log (* 2 (/ (cos (/ -1/2 K)) J))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 2 (/ (cos (/ -1/2 K)) J)))) into (* 1/3 (log (* 2 (/ (cos (/ -1/2 K)) J)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 2 (/ (cos (/ -1/2 K)) J))))) into (pow (* 2 (/ (cos (/ -1/2 K)) J)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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 (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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]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 (log (* 2 (/ (cos (/ -1/2 K)) J))) into (log (* 2 (/ (cos (/ -1/2 K)) J))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 2 (/ (cos (/ -1/2 K)) J)))) into (* 1/3 (log (* 2 (/ (cos (/ -1/2 K)) J)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 2 (/ (cos (/ -1/2 K)) J))))) into (pow (* 2 (/ (cos (/ -1/2 K)) J)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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 (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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]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 (log (* 2 (/ (cos (/ -1/2 K)) J))) into (log (* 2 (/ (cos (/ -1/2 K)) J))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 2 (/ (cos (/ -1/2 K)) J)))) into (* 1/3 (log (* 2 (/ (cos (/ -1/2 K)) J)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 2 (/ (cos (/ -1/2 K)) J))))) into (pow (* 2 (/ (cos (/ -1/2 K)) J)) 1/3) * [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 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) * [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 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) (cbrt (* (* -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 (* (* (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (* (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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 (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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]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 (log (* 2 (cos (/ -1/2 K)))) into (log (* 2 (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (cos (/ -1/2 K))))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) into (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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 (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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]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 (log (* 2 (cos (/ -1/2 K)))) into (log (* 2 (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (cos (/ -1/2 K))))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) into (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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 (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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]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 (log (* 2 (cos (/ -1/2 K)))) into (log (* 2 (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (cos (/ -1/2 K))))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) into (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log 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 J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))) into (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) into (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))))) into (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1)) into (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 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 (+ (* (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 J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log J) (log (/ 1/2 (* (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 (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) (cbrt (* (* -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 (* (* (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (* (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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 (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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]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 (log (* 2 (cos (/ -1/2 K)))) into (log (* 2 (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (cos (/ -1/2 K))))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) into (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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 (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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]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 (log (* 2 (cos (/ -1/2 K)))) into (log (* 2 (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (cos (/ -1/2 K))))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) into (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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 (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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]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 (log (* 2 (cos (/ -1/2 K)))) into (log (* 2 (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (cos (/ -1/2 K))))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) into (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log 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 J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))) into (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) into (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))))) into (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1)) into (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 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 (+ (* (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 J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log J) (log (/ 1/2 (* (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 (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) into (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 2) * [misc]backup-simplify: Simplify (* (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 2) (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) into (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 3) * [misc]backup-simplify: Simplify (* (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 3) (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1))) into (* (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 3) (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1))) * [misc]taylor: Taking taylor expansion of (* (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 3) (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1))) in K * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 3) in K * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))))) in K * [misc]taylor: Taking taylor expansion of (* 3 (log (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))))) 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 (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) 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 (* 2 (cos (/ -1/2 K)))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (* 2 (cos (/ -1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in K * [misc]taylor: Taking taylor expansion of -1/2 in K * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (* 2 (cos (/ -1/2 K)))) into (log (* 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]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (log (* 2 (cos (/ -1/2 K)))) (- (log J))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) into (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) into (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (* 3 (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (exp (- (log (* 2 (cos (/ -1/2 K)))) (log J))) into (exp (- (log (* 2 (cos (/ -1/2 K)))) (log J))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) 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)) U)))) 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)) 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]backup-simplify: Simplify (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))) into (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) into (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) 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)) U)))))) 1) into (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1)) into (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log J) (log (/ 1/2 (* (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 (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* 2 (cos (/ -1/2 K)))) (log J))) (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1))) into (* (exp (- (log (* 2 (cos (/ -1/2 K)))) (log J))) (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1))) * [misc]taylor: Taking taylor expansion of (* (exp (- (log (* 2 (cos (/ -1/2 K)))) (log J))) (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1))) in U * [misc]taylor: Taking taylor expansion of (exp (- (log (* 2 (cos (/ -1/2 K)))) (log J))) in U * [misc]taylor: Taking taylor expansion of (- (log (* 2 (cos (/ -1/2 K)))) (log J)) in U * [misc]taylor: Taking taylor expansion of (log (* 2 (cos (/ -1/2 K)))) in U * [misc]taylor: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) 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)) 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]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-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 (log (* 2 (cos (/ -1/2 K)))) into (log (* 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 (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (log (* 2 (cos (/ -1/2 K)))) (- (log J))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (exp (- (log (* 2 (cos (/ -1/2 K)))) (log J))) into (exp (- (log (* 2 (cos (/ -1/2 K)))) (log J))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))) 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 J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) in U * [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]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]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 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 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 (* 1 0) 1)) (pow J 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 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 (+ 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 (* (exp (- (log (* 2 (cos (/ -1/2 K)))) (log J))) (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ -1/2 K))))) (log U)))) 1))) into (* (exp (- (log (* 2 (cos (/ -1/2 K)))) (log J))) (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ -1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (* (exp (- (log (* 2 (cos (/ -1/2 K)))) (log J))) (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ -1/2 K))))) (log U)))) 1))) into (* (exp (- (log (* 2 (cos (/ -1/2 K)))) (log J))) (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) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (cos (/ -1/2 K))))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (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) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (cos (/ -1/2 K))))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (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) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (cos (/ -1/2 K))))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 0) (* 0 (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 2) 0) (* 0 (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 3) 0) (* 0 (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 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 (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* 2 (cos (/ -1/2 K)))) (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (- (log (* 2 (cos (/ -1/2 K)))) (log J))) 0) (* 0 (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 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 (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* 2 (cos (/ -1/2 K)))) (log J))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (- (log (* 2 (cos (/ -1/2 K)))) (log J))) 0) (* 0 (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 (- 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 J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) 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)) U)))))) 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 (- 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (cos (/ -1/2 K))))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (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) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (cos (/ -1/2 K))))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (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) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (cos (/ -1/2 K))))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 3) 0) (+ (* 0 0) (* 0 (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow J 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow J 1)))) 2) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) 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)) U)))))) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (* 2 (cos (/ -1/2 K)))) (log J))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (- (log (* 2 (cos (/ -1/2 K)))) (log J))) 0) (+ (* 0 0) (* 0 (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 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 (* (exp (- (log (* 2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- J))))) (sqrt (+ (exp (* 2 (- (+ (log (/ 1 (- J))) (log (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))))) (log (/ 1 (- U)))))) 1))) into (* (sqrt (+ (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))) 1)) (exp (- (log (* 2 (cos (* 1/2 K)))) (log (/ -1 J))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in (J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in K * [misc]taylor: Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 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 (* (* -2 J) (cos (/ K 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]backup-simplify: Simplify (* -2 J) into (* -2 J) * [misc]backup-simplify: Simplify (* (* -2 J) 1) into (* -2 J) * [misc]backup-simplify: Simplify (log (* -2 J)) into (log (* -2 J)) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 J))) into (* 1/3 (log (* -2 J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 J)))) into (pow (* -2 J) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 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 (* (* -2 J) (cos (/ K 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]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 (log (- (* 2 (cos (* 1/2 K))))) into (log (- (* 2 (cos (* 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) into (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) into (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 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 (* (* -2 J) (cos (/ K 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]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 (log (- (* 2 (cos (* 1/2 K))))) into (log (- (* 2 (cos (* 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) into (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) into (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) 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 J) (log (- (* 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 (- (* 2 (cos (* 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (log -2) into (log -2) * [misc]backup-simplify: Simplify (+ (log J) (log -2)) into (+ (log J) (log -2)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log J) (log -2))) into (* 1/3 (+ (log J) (log -2))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log J) (log -2)))) into (exp (* 1/3 (+ (log J) (log -2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log J) (log -2)))) into (exp (* 1/3 (+ (log J) (log -2)))) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) (+ (* (/ (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) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log J) (log -2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log -2)))) (+ (* (/ (pow 0 1) 1)))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (* 2 (cos (* 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) (+ (* (/ (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 0 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) into 0 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* 2 (- 1/8)) (+ (* 0 0) (* 0 1))) into -1/4 * [misc]backup-simplify: Simplify (- -1/4) into 1/4 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 1/4) 1)) (pow -2 1)))) 2) into -1/8 * [misc]backup-simplify: Simplify (+ 0 -1/8) into -1/8 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 (+ (log J) (log -2))))) into (- 1/24) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log -2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/24) 1) 1)))) into (* -1/24 (exp (* 1/3 (+ (log J) (log -2))))) * [misc]backup-simplify: Simplify (* -1/24 (exp (* 1/3 (+ (log J) (log -2))))) into (* -1/24 (exp (* 1/3 (+ (log J) (log -2))))) * [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 (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (* 2 (cos (* 1/2 K)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow J 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow J 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow J 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- -1/4) into 1/4 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 (- 1/8)) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1/4) 1)) (pow -2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 (+ (log J) (log -2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log -2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 1/24) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -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 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 5) 120)) 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 2) 2)) 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) (* 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 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- (* 2 (cos (* 1/2 K)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- (* 2 (cos (* 1/2 K)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking 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 (+ (* (* -1/24 (exp (* 1/3 (+ (log J) (log -2))))) (pow (* K 1) 2)) (exp (* 1/3 (+ (log J) (log -2))))) into (- (exp (* 1/3 (+ (log J) (log -2)))) (* 1/24 (* (pow K 2) (exp (* 1/3 (+ (log J) (log -2))))))) * [misc]approximate: Taking taylor expansion of (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in (J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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 (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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]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 (log (* -2 (/ (cos (/ 1/2 K)) J))) into (log (* -2 (/ (cos (/ 1/2 K)) J))) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 (/ (cos (/ 1/2 K)) J)))) into (* 1/3 (log (* -2 (/ (cos (/ 1/2 K)) J)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 (/ (cos (/ 1/2 K)) J))))) into (pow (* -2 (/ (cos (/ 1/2 K)) J)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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 (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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]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 (log (* -2 (cos (/ 1/2 K)))) into (log (* -2 (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* -2 (cos (/ 1/2 K))))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) into (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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 (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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]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 (log (* -2 (cos (/ 1/2 K)))) into (log (* -2 (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* -2 (cos (/ 1/2 K))))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) into (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) 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 (* -2 (cos (/ 1/2 K)))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (* -2 (cos (/ 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K * [misc]taylor: Taking taylor expansion of -2 in K * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (* -2 (cos (/ 1/2 K)))) into (log (* -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]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (log (* -2 (cos (/ 1/2 K)))) (- (log J))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) into (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (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 (- (+ (* (/ 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* -2 (cos (/ 1/2 K))))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -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 (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (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 (- (+ (* (/ 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* -2 (cos (/ 1/2 K))))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -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 0 into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 (cos (/ 1/2 K))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* -2 (cos (/ 1/2 K))))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 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 (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 (/ 1 K))))) (log (/ 1 J))))) into (exp (* 1/3 (- (log (* -2 (cos (* 1/2 K)))) (log (/ 1 J))))) * [misc]approximate: Taking taylor expansion of (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in (J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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 (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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]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 (log (* 2 (/ (cos (/ -1/2 K)) J))) into (log (* 2 (/ (cos (/ -1/2 K)) J))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 2 (/ (cos (/ -1/2 K)) J)))) into (* 1/3 (log (* 2 (/ (cos (/ -1/2 K)) J)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 2 (/ (cos (/ -1/2 K)) J))))) into (pow (* 2 (/ (cos (/ -1/2 K)) J)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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 (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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]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 (log (* 2 (cos (/ -1/2 K)))) into (log (* 2 (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (cos (/ -1/2 K))))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) into (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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 (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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]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 (log (* 2 (cos (/ -1/2 K)))) into (log (* 2 (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (cos (/ -1/2 K))))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) into (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) 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 (* 2 (cos (/ -1/2 K)))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (* 2 (cos (/ -1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in K * [misc]taylor: Taking taylor expansion of -1/2 in K * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (* 2 (cos (/ -1/2 K)))) into (log (* 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]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (log (* 2 (cos (/ -1/2 K)))) (- (log J))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) into (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (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) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (cos (/ -1/2 K))))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 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 (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (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) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (cos (/ -1/2 K))))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 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 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (cos (/ -1/2 K))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (cos (/ -1/2 K))))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 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 (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- J)))))) into (exp (* 1/3 (- (log (* 2 (cos (* 1/2 K)))) (log (/ -1 J))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in (J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in K * [misc]taylor: Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 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 (* (* -2 J) (cos (/ K 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]backup-simplify: Simplify (* -2 J) into (* -2 J) * [misc]backup-simplify: Simplify (* (* -2 J) 1) into (* -2 J) * [misc]backup-simplify: Simplify (log (* -2 J)) into (log (* -2 J)) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 J))) into (* 1/3 (log (* -2 J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 J)))) into (pow (* -2 J) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 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 (* (* -2 J) (cos (/ K 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]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 (log (- (* 2 (cos (* 1/2 K))))) into (log (- (* 2 (cos (* 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) into (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) into (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 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 (* (* -2 J) (cos (/ K 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]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 (log (- (* 2 (cos (* 1/2 K))))) into (log (- (* 2 (cos (* 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) into (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) into (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) 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 J) (log (- (* 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 (- (* 2 (cos (* 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (log -2) into (log -2) * [misc]backup-simplify: Simplify (+ (log J) (log -2)) into (+ (log J) (log -2)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log J) (log -2))) into (* 1/3 (+ (log J) (log -2))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log J) (log -2)))) into (exp (* 1/3 (+ (log J) (log -2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log J) (log -2)))) into (exp (* 1/3 (+ (log J) (log -2)))) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) (+ (* (/ (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) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log J) (log -2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log -2)))) (+ (* (/ (pow 0 1) 1)))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (* 2 (cos (* 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) (+ (* (/ (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 0 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) into 0 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* 2 (- 1/8)) (+ (* 0 0) (* 0 1))) into -1/4 * [misc]backup-simplify: Simplify (- -1/4) into 1/4 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 1/4) 1)) (pow -2 1)))) 2) into -1/8 * [misc]backup-simplify: Simplify (+ 0 -1/8) into -1/8 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 (+ (log J) (log -2))))) into (- 1/24) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log -2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/24) 1) 1)))) into (* -1/24 (exp (* 1/3 (+ (log J) (log -2))))) * [misc]backup-simplify: Simplify (* -1/24 (exp (* 1/3 (+ (log J) (log -2))))) into (* -1/24 (exp (* 1/3 (+ (log J) (log -2))))) * [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 (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (* 2 (cos (* 1/2 K)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow J 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow J 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow J 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- -1/4) into 1/4 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 (- 1/8)) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1/4) 1)) (pow -2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 (+ (log J) (log -2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log -2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 1/24) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -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 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 5) 120)) 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 2) 2)) 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) (* 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 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- (* 2 (cos (* 1/2 K)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- (* 2 (cos (* 1/2 K)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking 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 (+ (* (* -1/24 (exp (* 1/3 (+ (log J) (log -2))))) (pow (* K 1) 2)) (exp (* 1/3 (+ (log J) (log -2))))) into (- (exp (* 1/3 (+ (log J) (log -2)))) (* 1/24 (* (pow K 2) (exp (* 1/3 (+ (log J) (log -2))))))) * [misc]approximate: Taking taylor expansion of (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in (J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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 (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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]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 (log (* -2 (/ (cos (/ 1/2 K)) J))) into (log (* -2 (/ (cos (/ 1/2 K)) J))) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 (/ (cos (/ 1/2 K)) J)))) into (* 1/3 (log (* -2 (/ (cos (/ 1/2 K)) J)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 (/ (cos (/ 1/2 K)) J))))) into (pow (* -2 (/ (cos (/ 1/2 K)) J)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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 (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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]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 (log (* -2 (cos (/ 1/2 K)))) into (log (* -2 (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* -2 (cos (/ 1/2 K))))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) into (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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 (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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]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 (log (* -2 (cos (/ 1/2 K)))) into (log (* -2 (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* -2 (cos (/ 1/2 K))))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) into (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) 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 (* -2 (cos (/ 1/2 K)))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (* -2 (cos (/ 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K * [misc]taylor: Taking taylor expansion of -2 in K * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (* -2 (cos (/ 1/2 K)))) into (log (* -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]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (log (* -2 (cos (/ 1/2 K)))) (- (log J))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) into (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (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 (- (+ (* (/ 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* -2 (cos (/ 1/2 K))))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -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 (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (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 (- (+ (* (/ 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* -2 (cos (/ 1/2 K))))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -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 0 into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 (cos (/ 1/2 K))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* -2 (cos (/ 1/2 K))))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 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 (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 (/ 1 K))))) (log (/ 1 J))))) into (exp (* 1/3 (- (log (* -2 (cos (* 1/2 K)))) (log (/ 1 J))))) * [misc]approximate: Taking taylor expansion of (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in (J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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 (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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]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 (log (* 2 (/ (cos (/ -1/2 K)) J))) into (log (* 2 (/ (cos (/ -1/2 K)) J))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 2 (/ (cos (/ -1/2 K)) J)))) into (* 1/3 (log (* 2 (/ (cos (/ -1/2 K)) J)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 2 (/ (cos (/ -1/2 K)) J))))) into (pow (* 2 (/ (cos (/ -1/2 K)) J)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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 (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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]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 (log (* 2 (cos (/ -1/2 K)))) into (log (* 2 (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (cos (/ -1/2 K))))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) into (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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 (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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]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 (log (* 2 (cos (/ -1/2 K)))) into (log (* 2 (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (cos (/ -1/2 K))))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) into (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) 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 (* 2 (cos (/ -1/2 K)))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (* 2 (cos (/ -1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in K * [misc]taylor: Taking taylor expansion of -1/2 in K * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (* 2 (cos (/ -1/2 K)))) into (log (* 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]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (log (* 2 (cos (/ -1/2 K)))) (- (log J))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) into (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (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) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (cos (/ -1/2 K))))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 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 (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (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) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (cos (/ -1/2 K))))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 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 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (cos (/ -1/2 K))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (cos (/ -1/2 K))))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 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 (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- J)))))) into (exp (* 1/3 (- (log (* 2 (cos (* 1/2 K)))) (log (/ -1 J))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (326 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (fabs (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) * * * * [misc]progress: [ 8 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) * * * * [misc]progress: [ 9 / 70 ] 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) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (sqrt 1) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 10 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (* (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 3) (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (/ (sqrt (+ 1 (* (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 3) (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 3)))) (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 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)))) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (/ (sqrt (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)))) (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 12 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 70 ] 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 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (fabs (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))) * * * * [misc]progress: [ 14 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (369 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (cos (/ K 2)) (* -2 J))) * [misc]simplify: Simplified (2 1) to (λ (J K U) (pow (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (cos (/ K 2)) (* -2 J))) 1)) * * * * [misc]progress: [ 16 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (369 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (cos (/ K 2)) (* -2 J))) * [misc]simplify: Simplified (2 1) to (λ (J K U) (pow (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (cos (/ K 2)) (* -2 J))) 1)) * * * * [misc]progress: [ 17 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (369 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (cos (/ K 2)) (* -2 J))) * [misc]simplify: Simplified (2 1) to (λ (J K U) (pow (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (* (cos (/ K 2)) (* -2 J))) 1)) * * * * [misc]progress: [ 18 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (+ (log (cbrt (* (* -2 J) (cos (/ K 2))))) (log (cbrt (* (* -2 J) (cos (/ K 2)))))) (log (cbrt (* (* -2 J) (cos (/ K 2)))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (357 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (+ (+ (log (cbrt (* (cos (/ K 2)) (* -2 J)))) (log (cbrt (* (cos (/ K 2)) (* -2 J))))) (log (cbrt (* (cos (/ K 2)) (* -2 J)))))) * [misc]simplify: Simplified (2 1) to (λ (J K U) (exp (+ (log (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (+ (+ (log (cbrt (* (cos (/ K 2)) (* -2 J)))) (log (cbrt (* (cos (/ K 2)) (* -2 J))))) (log (cbrt (* (cos (/ K 2)) (* -2 J)))))))) * * * * [misc]progress: [ 20 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2)))))) (log (cbrt (* (* -2 J) (cos (/ K 2)))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (359 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (+ (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 1))) (+ (log (cbrt (* (cos (/ K 2)) (* -2 J)))) (log (* (cbrt (* (cos (/ K 2)) (* -2 J))) (cbrt (* (cos (/ K 2)) (* -2 J))))))) * [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))) (+ (log (cbrt (* (cos (/ K 2)) (* -2 J)))) (log (* (cbrt (* (cos (/ K 2)) (* -2 J))) (cbrt (* (cos (/ K 2)) (* -2 J))))))))) * * * * [misc]progress: [ 21 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2)))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (378 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (log (* (cos (/ K 2)) (* -2 J)))) * [misc]simplify: Simplified (2 1) to (λ (J K U) (exp (+ (log (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (log (* (cos (/ K 2)) (* -2 J)))))) * * * * [misc]progress: [ 22 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* -2 J) (cos (/ K 2))) (* (* -2 J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (+ (* (pow (* (cos (/ K 2)) (* -2 J)) 3) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (pow (* (cos (/ K 2)) (* -2 J)) 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)) (* -2 J)) 3) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (pow (* (cos (/ K 2)) (* -2 J)) 3))))) * * * * [misc]progress: [ 25 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2)))))) (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -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 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 1)) (* (* (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J))) (* (cos (/ K 2)) (* -2 J))) (+ (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 1))) * [misc]simplify: Simplified (2 1) to (λ (J K U) (cbrt (* (sqrt (+ (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 1)) (* (* (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J))) (* (cos (/ K 2)) (* -2 J))) (+ (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 1))))) * * * * [misc]progress: [ 26 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2)))))) (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -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 (24 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 1)) (+ (pow (* (cos (/ K 2)) (* -2 J)) 3) (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (pow (* (cos (/ K 2)) (* -2 J)) 3)))) * [misc]simplify: Simplified (2 1) to (λ (J K U) (cbrt (* (sqrt (+ (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 1)) (+ (pow (* (cos (/ K 2)) (* -2 J)) 3) (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (pow (* (cos (/ K 2)) (* -2 J)) 3)))))) * * * * [misc]progress: [ 27 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 70 ] 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 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -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)))))) (cbrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))) * * * * [misc]progress: [ 32 / 70 ] 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 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -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 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))) * * * * [misc]progress: [ 33 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))) * * * * [misc]progress: [ 34 / 70 ] 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 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt 1)) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) * * * * [misc]progress: [ 35 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))) * * * * [misc]progress: [ 36 / 70 ] 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 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) 1) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) * * * * [misc]progress: [ 37 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (cbrt (* (cos (/ K 2)) (* -2 J))) (cbrt (* (cos (/ K 2)) (* -2 J)))) * [misc]simplify: Simplified (2 1) to (λ (J K U) (* (* (cbrt (* (cos (/ K 2)) (* -2 J))) (cbrt (* (cos (/ K 2)) (* -2 J)))) (* (cbrt (* (* -2 J) (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 38 / 70 ] 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 (34 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (333 enodes) * [exit]simplify: Simplified to (sqrt (- (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)) (- (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * [misc]simplify: Simplified (2 2) to (λ (J K U) (/ (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) (sqrt (- (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)) (- (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))) * * * * [misc]progress: [ 39 / 70 ] 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 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (484 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [misc]simplify: Simplified (2 2) to (λ (J K U) (/ (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))))) * * * * [misc]progress: [ 40 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* -2 J)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (* -2 J)) * [misc]simplify: Simplified (2 1 2 1) to (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * * * [misc]progress: [ 46 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* -2 J)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (* -2 J)) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * * * [misc]progress: [ 55 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (213 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (* (* (/ 1/2 J) U) (* (/ 1/2 J) U)))) * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (* (* (/ 1/2 J) U) (* (/ 1/2 J) U)))))) * * * * [misc]progress: [ 60 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))) 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (* (* (* U (/ 1 J)) (/ 1/2 (cos (* 1/2 K)))) (* (* U (/ 1 J)) (/ 1/2 (cos (* 1/2 K))))))) * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (* (* (* U (/ 1 J)) (/ 1/2 (cos (* 1/2 K)))) (* (* U (/ 1 J)) (/ 1/2 (cos (* 1/2 K))))))))) * * * * [misc]progress: [ 61 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))) 1)) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (/ 1/2 (cos (* 1/2 K))) (/ (/ -1 J) (/ -1 U))) (* (/ 1/2 (cos (* 1/2 K))) (/ (/ -1 J) (/ -1 U)))) 1)) * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ (* (* (/ 1/2 (cos (* 1/2 K))) (/ (/ -1 J) (/ -1 U))) (* (/ 1/2 (cos (* 1/2 K))) (/ (/ -1 J) (/ -1 U)))) 1)))) * * * * [misc]progress: [ 62 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/8 (* (* (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) (* (pow K 2) (exp (+ (log J) (log -2))))) (sqrt (/ 1 (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1))))) (* (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) (exp (+ (log J) (log -2))))) (* 1/8 (* (* (pow K 2) (exp (+ (log J) (log -2)))) (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (+ (* (+ (* -2 J) (* (* (* -2 J) (* K K)) (- 1/8))) (sqrt (+ 1 (pow (exp 2) (+ (log 1/2) (- (log U) (log J))))))) (* (* (pow (exp 2) (+ (log 1/2) (- (log U) (log J)))) (* (* 1/8 K) (* (* K -2) J))) (sqrt (/ 1 (+ 1 (pow (exp 2) (+ (log 1/2) (- (log U) (log J))))))))) * [misc]simplify: Simplified (2) to (λ (J K U) (+ (* (+ (* -2 J) (* (* (* -2 J) (* K K)) (- 1/8))) (sqrt (+ 1 (pow (exp 2) (+ (log 1/2) (- (log U) (log J))))))) (* (* (pow (exp 2) (+ (log 1/2) (- (log U) (log J)))) (* (* 1/8 K) (* (* K -2) J))) (sqrt (/ 1 (+ 1 (pow (exp 2) (+ (log 1/2) (- (log U) (log J)))))))))) * * * * [misc]progress: [ 63 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))) 1)) (exp (- (log (* -2 (cos (* 1/2 K)))) (log (/ 1 J))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (375 enodes) * [exit]simplify: Simplified to (* (/ (cos (* 1/2 K)) (/ (/ 1 J) -2)) (sqrt (+ 1 (* (* (/ 1/2 (cos (* 1/2 K))) (* (/ 1 J) U)) (* (/ 1/2 (cos (* 1/2 K))) (* (/ 1 J) U)))))) * [misc]simplify: Simplified (2) to (λ (J K U) (* (/ (cos (* 1/2 K)) (/ (/ 1 J) -2)) (sqrt (+ 1 (* (* (/ 1/2 (cos (* 1/2 K))) (* (/ 1 J) U)) (* (/ 1/2 (cos (* 1/2 K))) (* (/ 1 J) U))))))) * * * * [misc]progress: [ 64 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))) 1)) (exp (- (log (* 2 (cos (* 1/2 K)))) (log (/ -1 J))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (356 enodes) * [exit]simplify: Simplified to (* (/ (cos (* 1/2 K)) (/ (/ -1 J) 2)) (sqrt (+ (* (* (/ 1/2 (cos (* 1/2 K))) (/ (/ -1 J) (/ -1 U))) (* (/ 1/2 (cos (* 1/2 K))) (/ (/ -1 J) (/ -1 U)))) 1))) * [misc]simplify: Simplified (2) to (λ (J K U) (* (/ (cos (* 1/2 K)) (/ (/ -1 J) 2)) (sqrt (+ (* (* (/ 1/2 (cos (* 1/2 K))) (/ (/ -1 J) (/ -1 U))) (* (/ 1/2 (cos (* 1/2 K))) (/ (/ -1 J) (/ -1 U)))) 1)))) * * * * [misc]progress: [ 65 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* 1/3 (+ (log J) (log -2)))) (* 1/24 (* (pow K 2) (exp (* 1/3 (+ (log J) (log -2))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (321 enodes) * [exit]simplify: Simplified to (- (cbrt (* -2 J)) (* (* K (* K 1/24)) (cbrt (* -2 J)))) * [misc]simplify: Simplified (2 1 2) to (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (- (cbrt (* -2 J)) (* (* K (* K 1/24)) (cbrt (* -2 J))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * * * [misc]progress: [ 66 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log (* -2 (cos (* 1/2 K)))) (log (/ 1 J))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * [exit]simplify: Simplified to (* (pow (cos (* 1/2 K)) 1/3) (* (pow -2 1/3) (cbrt J))) * [misc]simplify: Simplified (2 1 2) to (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (pow (cos (* 1/2 K)) 1/3) (* (pow -2 1/3) (cbrt J)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * * * [misc]progress: [ 67 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log (* 2 (cos (* 1/2 K)))) (log (/ -1 J))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (232 enodes) * [exit]simplify: Simplified to (* (* (pow (/ -1 J) (- 1/3)) (pow 2 1/3)) (pow (cos (* 1/2 K)) 1/3)) * [misc]simplify: Simplified (2 1 2) to (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (* (pow (/ -1 J) (- 1/3)) (pow 2 1/3)) (pow (cos (* 1/2 K)) 1/3))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * * * [misc]progress: [ 68 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* 1/3 (+ (log J) (log -2)))) (* 1/24 (* (pow K 2) (exp (* 1/3 (+ (log J) (log -2))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (321 enodes) * [exit]simplify: Simplified to (- (cbrt (* -2 J)) (* (* K (* K 1/24)) (cbrt (* -2 J)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (- (cbrt (* -2 J)) (* (* K (* K 1/24)) (cbrt (* -2 J))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * * * [misc]progress: [ 69 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log (* -2 (cos (* 1/2 K)))) (log (/ 1 J))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * [exit]simplify: Simplified to (* (pow (cos (* 1/2 K)) 1/3) (* (pow -2 1/3) (cbrt J))) * [misc]simplify: Simplified (2 1 1 2) to (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (* (pow (cos (* 1/2 K)) 1/3) (* (pow -2 1/3) (cbrt J)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * * * [misc]progress: [ 70 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log (* 2 (cos (* 1/2 K)))) (log (/ -1 J))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (232 enodes) * [exit]simplify: Simplified to (* (* (pow (/ -1 J) (- 1/3)) (pow 2 1/3)) (pow (cos (* 1/2 K)) 1/3)) * [misc]simplify: Simplified (2 1 1 2) to (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (* (* (pow (/ -1 J) (- 1/3)) (pow 2 1/3)) (pow (cos (* 1/2 K)) 1/3))) (cbrt (* (* -2 J) (cos (/ K 2))))) (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) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) * [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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) 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 (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 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 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 1/2) (log U)) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log 1/2) (log U)) (- (log J))) into (- (+ (log 1/2) (log U)) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log 1/2) (log U)) (log J))) into (* 2 (- (+ (log 1/2) (log U)) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) into (exp (* 2 (- (+ (log 1/2) (log 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) (log U)) (log J)))) 1) into (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (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 1/2) (log U)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log 1/2) (log 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) (log U)) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 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 (/ (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 (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (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 (* U (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) 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 (* U (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 (* U (cos (/ 1/2 K))))) 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 (* 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 J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))) into (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) into (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))))) into (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) into (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 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 (* 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 J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log J) (log (/ 1/2 (* 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 (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 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 (+ (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 (- (+ (* 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 (+ (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]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 (+ (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 (- (+ (* 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 (+ (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 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 J * [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 (+ 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 (+ (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 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 (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))) 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]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 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) * [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 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) 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 J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))) into (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) into (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))))) into (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1)) into (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 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 (+ (* (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 J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log J) (log (/ 1/2 (* (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 (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) 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 (+ 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 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 J * [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 (+ 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 (- 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 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 (+ (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))) 1)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (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 (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in U * [misc]taylor: Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 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 (* (* -2 J) (cos (/ K 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]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 (log (* -2 (* (cos (* 1/2 K)) J))) into (log (* -2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 (* (cos (* 1/2 K)) J)))) into (* 1/3 (log (* -2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 (* (cos (* 1/2 K)) J))))) into (pow (* -2 (* (cos (* 1/2 K)) J)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in U * [misc]taylor: Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 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 (* (* -2 J) (cos (/ K 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]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 (log (* -2 (* (cos (* 1/2 K)) J))) into (log (* -2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 (* (cos (* 1/2 K)) J)))) into (* 1/3 (log (* -2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 (* (cos (* 1/2 K)) J))))) into (pow (* -2 (* (cos (* 1/2 K)) J)) 1/3) * [misc]taylor: Taking taylor expansion of (* (cbrt (* -2 J)) (cbrt (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of (cbrt (* -2 J)) in U * [misc]taylor: Rewrote expression to (pow (* -2 J) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* -2 J)))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* -2 J))) 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 (* -2 J)) 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]backup-simplify: Simplify (* -2 J) into (* -2 J) * [misc]backup-simplify: Simplify (log (* -2 J)) into (log (* -2 J)) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 J))) into (* 1/3 (log (* -2 J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 J)))) into (pow (* -2 J) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ K 2))) in U * [misc]taylor: Rewrote expression to (pow (cos (/ K 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ K 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 (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (log (cos (* 1/2 K))) into (log (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (* 1/2 K)))) into (* 1/3 (log (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 1/3) * [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 (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in K * [misc]taylor: Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 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 (* (* -2 J) (cos (/ K 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]backup-simplify: Simplify (* -2 J) into (* -2 J) * [misc]backup-simplify: Simplify (* (* -2 J) 1) into (* -2 J) * [misc]backup-simplify: Simplify (log (* -2 J)) into (log (* -2 J)) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 J))) into (* 1/3 (log (* -2 J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 J)))) into (pow (* -2 J) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in K * [misc]taylor: Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 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 (* (* -2 J) (cos (/ K 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]backup-simplify: Simplify (* -2 J) into (* -2 J) * [misc]backup-simplify: Simplify (* (* -2 J) 1) into (* -2 J) * [misc]backup-simplify: Simplify (log (* -2 J)) into (log (* -2 J)) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 J))) into (* 1/3 (log (* -2 J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 J)))) into (pow (* -2 J) 1/3) * [misc]taylor: Taking taylor expansion of (* (cbrt (* -2 J)) (cbrt (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of (cbrt (* -2 J)) in K * [misc]taylor: Rewrote expression to (pow (* -2 J) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* -2 J)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* -2 J))) 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 (* -2 J)) 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]backup-simplify: Simplify (* -2 J) into (* -2 J) * [misc]backup-simplify: Simplify (log (* -2 J)) into (log (* -2 J)) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 J))) into (* 1/3 (log (* -2 J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 J)))) into (pow (* -2 J) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ K 2))) in K * [misc]taylor: Rewrote expression to (pow (cos (/ K 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ K 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 (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 * [misc]backup-simplify: Simplify (exp 0) into 1 * [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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) * [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 (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 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 (* (* -2 J) (cos (/ K 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]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 (log (- (* 2 (cos (* 1/2 K))))) into (log (- (* 2 (cos (* 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) into (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) into (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 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 (* (* -2 J) (cos (/ K 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]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 (log (- (* 2 (cos (* 1/2 K))))) into (log (- (* 2 (cos (* 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) into (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) into (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) * [misc]taylor: Taking taylor expansion of (* (cbrt (* -2 J)) (cbrt (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of (cbrt (* -2 J)) in J * [misc]taylor: Rewrote expression to (pow (* -2 J) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* -2 J)))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* -2 J))) 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 (* -2 J)) 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]backup-simplify: Simplify (* -2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 1) (* 0 0)) into -2 * [misc]backup-simplify: Simplify (log -2) into (log -2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log -2)) into (+ (log J) (log -2)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log J) (log -2))) into (* 1/3 (+ (log J) (log -2))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log J) (log -2)))) into (exp (* 1/3 (+ (log J) (log -2)))) * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ K 2))) in J * [misc]taylor: Rewrote expression to (pow (cos (/ K 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ K 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 (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (log (cos (* 1/2 K))) into (log (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (* 1/2 K)))) into (* 1/3 (log (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 1/3) * [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 (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 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 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 (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 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 (* (* -2 J) (cos (/ K 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]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 (log (- (* 2 (cos (* 1/2 K))))) into (log (- (* 2 (cos (* 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) into (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) into (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 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 (* (* -2 J) (cos (/ K 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]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 (log (- (* 2 (cos (* 1/2 K))))) into (log (- (* 2 (cos (* 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) into (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) into (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) * [misc]taylor: Taking taylor expansion of (* (cbrt (* -2 J)) (cbrt (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of (cbrt (* -2 J)) in J * [misc]taylor: Rewrote expression to (pow (* -2 J) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* -2 J)))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* -2 J))) 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 (* -2 J)) 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]backup-simplify: Simplify (* -2 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 1) (* 0 0)) into -2 * [misc]backup-simplify: Simplify (log -2) into (log -2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log -2)) into (+ (log J) (log -2)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log J) (log -2))) into (* 1/3 (+ (log J) (log -2))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log J) (log -2)))) into (exp (* 1/3 (+ (log J) (log -2)))) * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ K 2))) in J * [misc]taylor: Rewrote expression to (pow (cos (/ K 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ K 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 (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (log (cos (* 1/2 K))) into (log (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (* 1/2 K)))) into (* 1/3 (log (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 1/3) * [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 (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 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 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 (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))))) into (pow (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log -2)))) (pow (cos (* 1/2 K)) 1/3)) into (* (pow (cos (* 1/2 K)) 1/3) (exp (* 1/3 (+ (log J) (log -2))))) * [misc]backup-simplify: Simplify (* (pow (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 2) (* (pow (cos (* 1/2 K)) 1/3) (exp (* 1/3 (+ (log J) (log -2)))))) into (* (pow (cos (* 1/2 K)) 1/3) (* (pow (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 2) (exp (* 1/3 (+ (log J) (log -2)))))) * [misc]backup-simplify: Simplify (* (* (pow (cos (* 1/2 K)) 1/3) (* (pow (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 2) (exp (* 1/3 (+ (log J) (log -2)))))) (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1))) into (* (pow (cos (* 1/2 K)) 1/3) (* (* (pow (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 2) (exp (* 1/3 (+ (log J) (log -2))))) (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 1/3) (* (* (pow (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 2) (exp (* 1/3 (+ (log J) (log -2))))) (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) in K * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) 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 (cos (* 1/2 K))) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* (* (pow (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 2) (exp (* 1/3 (+ (log J) (log -2))))) (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1))) in K * [misc]taylor: Taking taylor expansion of (* (pow (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 2) (exp (* 1/3 (+ (log J) (log -2))))) in K * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))))) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) 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 J) (log (- (* 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 (- (* 2 (cos (* 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (log -2) into (log -2) * [misc]backup-simplify: Simplify (+ (log J) (log -2)) into (+ (log J) (log -2)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log J) (log -2))) into (* 1/3 (+ (log J) (log -2))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log J) (log -2)))) into (exp (* 1/3 (+ (log J) (log -2)))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (+ (log J) (log -2))))) into (* 1/3 (+ (log J) (log -2))) * [misc]backup-simplify: Simplify (* 2 (* 1/3 (+ (log J) (log -2)))) into (* 2/3 (+ (log J) (log -2))) * [misc]backup-simplify: Simplify (exp (* 2/3 (+ (log J) (log -2)))) into (exp (* 2/3 (+ (log J) (log -2)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log J) (log -2)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log J) (log -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 J) (log -2)) 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 -2) in K * [misc]taylor: Taking taylor expansion of -2 in K * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (log -2) into (log -2) * [misc]backup-simplify: Simplify (+ (log J) (log -2)) into (+ (log J) (log -2)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log J) (log -2))) into (* 1/3 (+ (log J) (log -2))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log J) (log -2)))) into (exp (* 1/3 (+ (log J) (log -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 (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1)) into (sqrt (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1)) * [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 (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (+ (log J) (log -2)))) (exp (* 1/3 (+ (log J) (log -2))))) into (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2))))) * [misc]backup-simplify: Simplify (* (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2))))) (sqrt (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1))) into (* (sqrt (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1)) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2)))))) * [misc]backup-simplify: Simplify (* 1 (* (sqrt (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1)) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2))))))) into (* (sqrt (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1)) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2)))))) * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1)) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2)))))) in U * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1) in U * [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 1/2) (log U)) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log 1/2) (log U)) (- (log J))) into (- (+ (log 1/2) (log U)) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log 1/2) (log U)) (log J))) into (* 2 (- (+ (log 1/2) (log U)) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) into (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1) into (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) * [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 1/2) (log U)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log 1/2) (log 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) (log U)) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2))))) in U * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log J) (log -2)))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log J) (log -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 J) (log -2)) in U * [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]taylor: Taking taylor expansion of (log -2) in U * [misc]taylor: Taking taylor expansion of -2 in U * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (log -2) into (log -2) * [misc]backup-simplify: Simplify (+ (log J) (log -2)) into (+ (log J) (log -2)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log J) (log -2))) into (* 1/3 (+ (log J) (log -2))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log J) (log -2)))) into (exp (* 1/3 (+ (log J) (log -2)))) * [misc]taylor: Taking taylor expansion of (exp (* 2/3 (+ (log J) (log -2)))) in U * [misc]taylor: Taking taylor expansion of (* 2/3 (+ (log J) (log -2))) in U * [misc]taylor: Taking taylor expansion of 2/3 in U * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of (+ (log J) (log -2)) in U * [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]taylor: Taking taylor expansion of (log -2) in U * [misc]taylor: Taking taylor expansion of -2 in U * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (log -2) into (log -2) * [misc]backup-simplify: Simplify (+ (log J) (log -2)) into (+ (log J) (log -2)) * [misc]backup-simplify: Simplify (* 2/3 (+ (log J) (log -2))) into (* 2/3 (+ (log J) (log -2))) * [misc]backup-simplify: Simplify (exp (* 2/3 (+ (log J) (log -2)))) into (exp (* 2/3 (+ (log J) (log -2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2))))) into (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2))))) * [misc]backup-simplify: Simplify (* (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2)))))) into (* (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2)))))) * [misc]backup-simplify: Simplify (* (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2)))))) into (* (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log -2)) into (+ (log J) (log -2)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log J) (log -2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log -2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log J) (log -2)))) 0) (* 0 (pow (cos (* 1/2 K)) 1/3))) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) (+ (* (/ (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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 0) (* 0 (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 2) 0) (* 0 (* (pow (cos (* 1/2 K)) 1/3) (exp (* 1/3 (+ (log J) (log -2))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (pow (cos (* 1/2 K)) 1/3) (* (pow (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 2) (exp (* 1/3 (+ (log J) (log -2)))))) 0) (* 0 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log J) (log -2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log -2)))) (+ (* (/ (pow 0 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 (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log J) (log -2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log -2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (+ (log J) (log -2)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* 1/3 (+ (log J) (log -2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (+ (log J) (log -2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 2/3 (+ (log J) (log -2)))) 0) (* 0 (exp (* 1/3 (+ (log J) (log -2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2))))) 0) (* 0 (sqrt (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (* (sqrt (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1)) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2)))))))) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 (+ (log J) (log -2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (+ (log J) (log -2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log J) (log -2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log -2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log J) (log -2)))) 0) (* 0 (exp (* 2/3 (+ (log J) (log -2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) 0) (* 0 (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2))))))) 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 (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (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 (- (/ 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 (/ (* (pow (* 1 0) 2)) (pow (cos (* 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* 1/2 K)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log -2)) into (+ (log J) (log -2)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log J) (log -2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log -2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log J) (log -2)))) 0) (+ (* 0 0) (* 0 (pow (cos (* 1/2 K)) 1/3)))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (* 2 (cos (* 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (* 2 (cos (* 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 2) 0) (+ (* 0 0) (* 0 (* (pow (cos (* 1/2 K)) 1/3) (exp (* 1/3 (+ (log J) (log -2)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (pow (cos (* 1/2 K)) 1/3) (* (pow (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 2) (exp (* 1/3 (+ (log J) (log -2)))))) 0) (+ (* 0 0) (* 0 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* U (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into (* 1/8 U) * [misc]backup-simplify: Simplify (+ (* 1/2 (* 1/8 U)) (+ (* 0 0) (* 0 U))) into (* 1/16 U) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 U) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/16 U)) 1)) (pow (* 1/2 U) 1)))) 2) into 1/8 * [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) into 0 * [misc]backup-simplify: Simplify (+ 1/8 0) into 1/8 * [misc]backup-simplify: Simplify (+ (* 2 1/8) (+ (* 0 0) (* 0 (- (log (* 1/2 U)) (log J))))) into 1/4 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 U)) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/4 1) 1)))) into (* 1/4 (exp (* 2 (- (log (* 1/2 U)) (log J))))) * [misc]backup-simplify: Simplify (+ (* 1/4 (exp (* 2 (- (log (* 1/2 U)) (log J))))) 0) into (* 1/4 (exp (* 2 (- (log (* 1/2 U)) (log J))))) * [misc]backup-simplify: Simplify (/ (- (* 1/4 (exp (* 2 (- (log (* 1/2 U)) (log J))))) (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1)))) into (* 1/8 (* (exp (* 2 (- (log (* 1/2 U)) (log J)))) (sqrt (/ 1 (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1))))) * [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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log J) (log -2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log -2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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) into 0 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* 2 (- 1/8)) (+ (* 0 0) (* 0 1))) into -1/4 * [misc]backup-simplify: Simplify (- -1/4) into 1/4 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 1/4) 1)) (pow -2 1)))) 2) into -1/8 * [misc]backup-simplify: Simplify (+ 0 -1/8) into -1/8 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 (+ (log J) (log -2))))) into (- 1/24) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log -2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/24) 1) 1)))) into (* -1/24 (exp (* 1/3 (+ (log J) (log -2))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/3 (+ (log J) (log -2)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1/24 (exp (* 1/3 (+ (log J) (log -2)))))) 1)) (pow (exp (* 1/3 (+ (log J) (log -2)))) 1)))) 2) into -1/24 * [misc]backup-simplify: Simplify (+ (* 2 -1/24) (+ (* 0 0) (* 0 (* 1/3 (+ (log J) (log -2)))))) into (- 1/12) * [misc]backup-simplify: Simplify (* (exp (* 2/3 (+ (log J) (log -2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/12) 1) 1)))) into (* -1/12 (exp (* 2/3 (+ (log J) (log -2))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 2/3 (+ (log J) (log -2)))) 0) (+ (* 0 0) (* (* -1/12 (exp (* 2/3 (+ (log J) (log -2))))) (exp (* 1/3 (+ (log J) (log -2))))))) into (- (* 1/12 (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2))))))) * [misc]backup-simplify: Simplify (+ (* (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2))))) (* 1/8 (* (exp (* 2 (- (log (* 1/2 U)) (log J)))) (sqrt (/ 1 (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1)))))) (+ (* 0 0) (* (- (* 1/12 (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2))))))) (sqrt (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1))))) into (- (* 1/8 (* (* (exp (* 2 (- (log (* 1/2 U)) (log J)))) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2)))))) (sqrt (/ 1 (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1))))) (* 1/12 (* (sqrt (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1)) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2)))))))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/24 1) 1)))) into -1/24 * [misc]backup-simplify: Simplify (+ (* 1 (- (* 1/8 (* (* (exp (* 2 (- (log (* 1/2 U)) (log J)))) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2)))))) (sqrt (/ 1 (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1))))) (* 1/12 (* (sqrt (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1)) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2))))))))) (+ (* 0 0) (* -1/24 (* (sqrt (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1)) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2))))))))) into (- (* 1/8 (* (* (exp (* 2 (- (log (* 1/2 U)) (log J)))) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2)))))) (sqrt (/ 1 (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1))))) (* 1/8 (* (sqrt (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1)) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2)))))))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (* (exp (* 2 (- (log (* 1/2 U)) (log J)))) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2)))))) (sqrt (/ 1 (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1))))) (* 1/8 (* (sqrt (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1)) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2)))))))) in U * [misc]taylor: Taking taylor expansion of (* 1/8 (* (* (exp (* 2 (- (log (* 1/2 U)) (log J)))) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2)))))) (sqrt (/ 1 (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1))))) in U * [misc]taylor: Taking taylor expansion of 1/8 in U * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (* (exp (* 2 (- (log (* 1/2 U)) (log J)))) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2)))))) (sqrt (/ 1 (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1)))) in U * [misc]taylor: Taking taylor expansion of (* (exp (* 2 (- (log (* 1/2 U)) (log J)))) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2)))))) in U * [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 1/2) (log U)) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log 1/2) (log U)) (- (log J))) into (- (+ (log 1/2) (log U)) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log 1/2) (log U)) (log J))) into (* 2 (- (+ (log 1/2) (log U)) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) into (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) * [misc]taylor: Taking taylor expansion of (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2))))) in U * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log J) (log -2)))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log J) (log -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 J) (log -2)) in U * [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]taylor: Taking taylor expansion of (log -2) in U * [misc]taylor: Taking taylor expansion of -2 in U * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (log -2) into (log -2) * [misc]backup-simplify: Simplify (+ (log J) (log -2)) into (+ (log J) (log -2)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log J) (log -2))) into (* 1/3 (+ (log J) (log -2))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log J) (log -2)))) into (exp (* 1/3 (+ (log J) (log -2)))) * [misc]taylor: Taking taylor expansion of (exp (* 2/3 (+ (log J) (log -2)))) in U * [misc]taylor: Taking taylor expansion of (* 2/3 (+ (log J) (log -2))) in U * [misc]taylor: Taking taylor expansion of 2/3 in U * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of (+ (log J) (log -2)) in U * [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]taylor: Taking taylor expansion of (log -2) in U * [misc]taylor: Taking taylor expansion of -2 in U * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (log -2) into (log -2) * [misc]backup-simplify: Simplify (+ (log J) (log -2)) into (+ (log J) (log -2)) * [misc]backup-simplify: Simplify (* 2/3 (+ (log J) (log -2))) into (* 2/3 (+ (log J) (log -2))) * [misc]backup-simplify: Simplify (exp (* 2/3 (+ (log J) (log -2)))) into (exp (* 2/3 (+ (log J) (log -2)))) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1) in U * [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 1/2) (log U)) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log 1/2) (log U)) (- (log J))) into (- (+ (log 1/2) (log U)) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log 1/2) (log U)) (log J))) into (* 2 (- (+ (log 1/2) (log U)) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) into (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1) into (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1) * [misc]backup-simplify: Simplify (/ 1 (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) into (/ 1 (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1))) into (sqrt (/ 1 (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1))) * [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 1/2) (log U)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) (/ 0 (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (sqrt (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1)) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2))))))) in U * [misc]taylor: Taking taylor expansion of 1/8 in U * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1)) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2)))))) in U * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1) in U * [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 1/2) (log U)) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log 1/2) (log U)) (- (log J))) into (- (+ (log 1/2) (log U)) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log 1/2) (log U)) (log J))) into (* 2 (- (+ (log 1/2) (log U)) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) into (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1) into (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) * [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 1/2) (log U)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log 1/2) (log 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) (log U)) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2))))) in U * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log J) (log -2)))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log J) (log -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 J) (log -2)) in U * [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]taylor: Taking taylor expansion of (log -2) in U * [misc]taylor: Taking taylor expansion of -2 in U * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (log -2) into (log -2) * [misc]backup-simplify: Simplify (+ (log J) (log -2)) into (+ (log J) (log -2)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log J) (log -2))) into (* 1/3 (+ (log J) (log -2))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log J) (log -2)))) into (exp (* 1/3 (+ (log J) (log -2)))) * [misc]taylor: Taking taylor expansion of (exp (* 2/3 (+ (log J) (log -2)))) in U * [misc]taylor: Taking taylor expansion of (* 2/3 (+ (log J) (log -2))) in U * [misc]taylor: Taking taylor expansion of 2/3 in U * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of (+ (log J) (log -2)) in U * [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]taylor: Taking taylor expansion of (log -2) in U * [misc]taylor: Taking taylor expansion of -2 in U * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (log -2) into (log -2) * [misc]backup-simplify: Simplify (+ (log J) (log -2)) into (+ (log J) (log -2)) * [misc]backup-simplify: Simplify (* 2/3 (+ (log J) (log -2))) into (* 2/3 (+ (log J) (log -2))) * [misc]backup-simplify: Simplify (exp (* 2/3 (+ (log J) (log -2)))) into (exp (* 2/3 (+ (log J) (log -2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2))))) into (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2))))) * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2)))))) into (* (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2)))))) * [misc]backup-simplify: Simplify (* (* (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2)))))) (sqrt (/ 1 (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)))) into (* (* (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2)))))) (sqrt (/ 1 (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)))) * [misc]backup-simplify: Simplify (* 1/8 (* (* (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2)))))) (sqrt (/ 1 (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1))))) into (* 1/8 (* (* (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2)))))) (sqrt (/ 1 (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2))))) into (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2))))) * [misc]backup-simplify: Simplify (* (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2)))))) into (* (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2)))))) * [misc]backup-simplify: Simplify (* 1/8 (* (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2))))))) into (* 1/8 (* (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2))))))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2)))))))) into (- (* 1/8 (* (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2)))))))) * [misc]backup-simplify: Simplify (+ (* 1/8 (* (* (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2)))))) (sqrt (/ 1 (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1))))) (- (* 1/8 (* (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2))))))))) into (- (* 1/8 (* (* (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2)))))) (sqrt (/ 1 (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1))))) (* 1/8 (* (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2)))))))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (* (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2)))))) (sqrt (/ 1 (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1))))) (* 1/8 (* (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2)))))))) into (- (* 1/8 (* (* (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2)))))) (sqrt (/ 1 (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1))))) (* 1/8 (* (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2)))))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 (+ (log J) (log -2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (+ (log J) (log -2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log J) (log -2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log -2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log J) (log -2)))) 0) (+ (* 0 0) (* 0 (exp (* 2/3 (+ (log J) (log -2))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log 1/2) (log U)) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log 1/2) (log 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) (log U)) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) 0) (+ (* 0 0) (* 0 (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2)))))))) 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 (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 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))))) (* 0 (/ 0 (* 2 (cos (* 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/2 (/ U (cos (* 1/2 K)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 1/2 (/ U (cos (* 1/2 K)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/2 (/ U (cos (* 1/2 K)))) 1)))) 6) 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 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 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) 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 (/ (* (pow (* 1 0) 3)) (pow (cos (* 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (* 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (* 1/2 K)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log -2)) into (+ (log J) (log -2)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log J) (log -2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log -2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log J) (log -2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (* 1/2 K)) 1/3))))) 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 (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (* 2 (cos (* 1/2 K)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) 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 (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (* 2 (cos (* 1/2 K)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow (cos (* 1/2 K)) 1/3) (exp (* 1/3 (+ (log J) (log -2))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (pow (cos (* 1/2 K)) 1/3) (* (pow (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) 2) (exp (* 1/3 (+ (log J) (log -2)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (+ (* (- (* 1/8 (* (* (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2)))))) (sqrt (/ 1 (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1))))) (* 1/8 (* (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2)))))))) (pow (* 1 (* K 1)) 2)) (* (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2))))))) into (- (+ (* 1/8 (* (* (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) (* (pow K 2) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2))))))) (sqrt (/ 1 (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1))))) (* (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2))))))) (* 1/8 (* (* (pow K 2) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2)))))) (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1))))) * [misc]approximate: Taking taylor expansion of (* (* (* (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) (* (cbrt (* -2 (/ 1 J))) (cbrt (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 (* (* (* (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) (* (cbrt (* -2 (/ 1 J))) (cbrt (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 (* (* (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) (* (cbrt (* -2 (/ 1 J))) (cbrt (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (* (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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 (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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]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 (log (* -2 (/ (cos (/ 1/2 K)) J))) into (log (* -2 (/ (cos (/ 1/2 K)) J))) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 (/ (cos (/ 1/2 K)) J)))) into (* 1/3 (log (* -2 (/ (cos (/ 1/2 K)) J)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 (/ (cos (/ 1/2 K)) J))))) into (pow (* -2 (/ (cos (/ 1/2 K)) J)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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 (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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]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 (log (* -2 (/ (cos (/ 1/2 K)) J))) into (log (* -2 (/ (cos (/ 1/2 K)) J))) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 (/ (cos (/ 1/2 K)) J)))) into (* 1/3 (log (* -2 (/ (cos (/ 1/2 K)) J)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 (/ (cos (/ 1/2 K)) J))))) into (pow (* -2 (/ (cos (/ 1/2 K)) J)) 1/3) * [misc]taylor: Taking taylor expansion of (* (cbrt (* -2 (/ 1 J))) (cbrt (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (cbrt (* -2 (/ 1 J))) in U * [misc]taylor: Rewrote expression to (pow (* -2 (/ 1 J)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* -2 (/ 1 J))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* -2 (/ 1 J)))) 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 (* -2 (/ 1 J))) 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]backup-simplify: Simplify (* -2 (/ 1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (log (/ -2 J)) into (log (/ -2 J)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ -2 J))) into (* 1/3 (log (/ -2 J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ -2 J)))) into (pow (/ -2 J) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (/ 1 K) 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 (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) * [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 (+ (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 (- (+ (* 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 (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) (* (cbrt (* -2 (/ 1 J))) (cbrt (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 (* (* (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) (* (cbrt (* -2 (/ 1 J))) (cbrt (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (* (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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 (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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]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 (log (* -2 (/ (cos (/ 1/2 K)) J))) into (log (* -2 (/ (cos (/ 1/2 K)) J))) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 (/ (cos (/ 1/2 K)) J)))) into (* 1/3 (log (* -2 (/ (cos (/ 1/2 K)) J)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 (/ (cos (/ 1/2 K)) J))))) into (pow (* -2 (/ (cos (/ 1/2 K)) J)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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 (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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]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 (log (* -2 (/ (cos (/ 1/2 K)) J))) into (log (* -2 (/ (cos (/ 1/2 K)) J))) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 (/ (cos (/ 1/2 K)) J)))) into (* 1/3 (log (* -2 (/ (cos (/ 1/2 K)) J)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 (/ (cos (/ 1/2 K)) J))))) into (pow (* -2 (/ (cos (/ 1/2 K)) J)) 1/3) * [misc]taylor: Taking taylor expansion of (* (cbrt (* -2 (/ 1 J))) (cbrt (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (cbrt (* -2 (/ 1 J))) in K * [misc]taylor: Rewrote expression to (pow (* -2 (/ 1 J)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* -2 (/ 1 J))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* -2 (/ 1 J)))) 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 (* -2 (/ 1 J))) 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]backup-simplify: Simplify (* -2 (/ 1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (log (/ -2 J)) into (log (/ -2 J)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ -2 J))) into (* 1/3 (log (/ -2 J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ -2 J)))) into (pow (/ -2 J) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (/ 1 K) 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 (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) * [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 (* U (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) 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 (* U (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 (* U (cos (/ 1/2 K))))) 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 (* (* (* (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) (* (cbrt (* -2 (/ 1 J))) (cbrt (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 (* (* (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) (* (cbrt (* -2 (/ 1 J))) (cbrt (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (* (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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 (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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]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 (log (* -2 (cos (/ 1/2 K)))) into (log (* -2 (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* -2 (cos (/ 1/2 K))))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) into (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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 (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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]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 (log (* -2 (cos (/ 1/2 K)))) into (log (* -2 (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* -2 (cos (/ 1/2 K))))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) into (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) * [misc]taylor: Taking taylor expansion of (* (cbrt (* -2 (/ 1 J))) (cbrt (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (cbrt (* -2 (/ 1 J))) in J * [misc]taylor: Rewrote expression to (pow (* -2 (/ 1 J)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* -2 (/ 1 J))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* -2 (/ 1 J)))) 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 (* -2 (/ 1 J))) 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]backup-simplify: Simplify (* -2 1) into -2 * [misc]backup-simplify: Simplify (log -2) into (log -2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log -2)) into (- (log -2) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -2) (log J))) into (* 1/3 (- (log -2) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -2) (log J)))) into (exp (* 1/3 (- (log -2) (log J)))) * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (/ 1 K) 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 (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) * [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 (* 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 J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))) into (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) into (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))))) into (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) into (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 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 (* 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 J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log J) (log (/ 1/2 (* 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 (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) (* (cbrt (* -2 (/ 1 J))) (cbrt (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 (* (* (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) (* (cbrt (* -2 (/ 1 J))) (cbrt (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (* (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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 (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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]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 (log (* -2 (cos (/ 1/2 K)))) into (log (* -2 (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* -2 (cos (/ 1/2 K))))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) into (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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 (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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]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 (log (* -2 (cos (/ 1/2 K)))) into (log (* -2 (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* -2 (cos (/ 1/2 K))))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) into (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) * [misc]taylor: Taking taylor expansion of (* (cbrt (* -2 (/ 1 J))) (cbrt (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (cbrt (* -2 (/ 1 J))) in J * [misc]taylor: Rewrote expression to (pow (* -2 (/ 1 J)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* -2 (/ 1 J))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* -2 (/ 1 J)))) 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 (* -2 (/ 1 J))) 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]backup-simplify: Simplify (* -2 1) into -2 * [misc]backup-simplify: Simplify (log -2) into (log -2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log -2)) into (- (log -2) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -2) (log J))) into (* 1/3 (- (log -2) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -2) (log J)))) into (exp (* 1/3 (- (log -2) (log J)))) * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Rewrote expression to (pow (cos (/ (/ 1 K) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (/ 1 K) 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 (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) * [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 (* 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 J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))) into (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) into (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))))) into (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) into (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 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 (* 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 J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log J) (log (/ 1/2 (* 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 (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) into (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -2) (log J)))) (pow (cos (/ 1/2 K)) 1/3)) into (* (exp (* 1/3 (- (log -2) (log J)))) (pow (cos (/ 1/2 K)) 1/3)) * [misc]backup-simplify: Simplify (* (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 2) (* (exp (* 1/3 (- (log -2) (log J)))) (pow (cos (/ 1/2 K)) 1/3))) into (* (* (exp (* 1/3 (- (log -2) (log J)))) (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 2)) (pow (cos (/ 1/2 K)) 1/3)) * [misc]backup-simplify: Simplify (* (* (* (exp (* 1/3 (- (log -2) (log J)))) (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 2)) (pow (cos (/ 1/2 K)) 1/3)) (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1))) into (* (* (exp (* 1/3 (- (log -2) (log J)))) (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 2)) (* (pow (cos (/ 1/2 K)) 1/3) (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)))) * [misc]taylor: Taking taylor expansion of (* (* (exp (* 1/3 (- (log -2) (log J)))) (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 2)) (* (pow (cos (/ 1/2 K)) 1/3) (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)))) in K * [misc]taylor: Taking taylor expansion of (* (exp (* 1/3 (- (log -2) (log J)))) (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 2)) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -2) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -2) (log J))) 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 -2) (log J)) in K * [misc]taylor: Taking taylor expansion of (log -2) in K * [misc]taylor: Taking taylor expansion of -2 in K * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (log -2) into (log -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 J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (log -2) (- (log J))) into (- (log -2) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -2) (log J))) into (* 1/3 (- (log -2) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -2) (log J)))) into (exp (* 1/3 (- (log -2) (log J)))) * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (exp (* 1/3 (- (log (* -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 (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) 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 (* -2 (cos (/ 1/2 K)))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (* -2 (cos (/ 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K * [misc]taylor: Taking taylor expansion of -2 in K * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (* -2 (cos (/ 1/2 K)))) into (log (* -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]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (log (* -2 (cos (/ 1/2 K)))) (- (log J))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) into (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) into (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (* 2 (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into (* 2/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into (exp (* 2/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) * [misc]taylor: Taking taylor expansion of (* (pow (cos (/ 1/2 K)) 1/3) (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1))) in K * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) 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 (cos (/ 1/2 K))) 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]backup-simplify: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (log J) (log (/ 1/2 (* U (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 (* 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 1) into 1/2 * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (/ 1/2 (* U (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 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))) into (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))) into (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) into (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) * [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 (* U (cos (/ 1/2 K)))))))) 1) into (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) into (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* U 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ 1/2 (* U (cos (/ 1/2 K)))) (/ 0 (* U (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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log J) (log (/ 1/2 (* 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 (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -2) (log J)))) (exp (* 2/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) into (* (exp (* 1/3 (- (log -2) (log J)))) (exp (* 2/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) * [misc]backup-simplify: Simplify (* (pow (cos (/ 1/2 K)) 1/3) (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1))) into (* (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) (pow (cos (/ 1/2 K)) 1/3)) * [misc]backup-simplify: Simplify (* (* (exp (* 1/3 (- (log -2) (log J)))) (exp (* 2/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) (* (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) (pow (cos (/ 1/2 K)) 1/3))) into (* (* (exp (* 1/3 (- (log -2) (log J)))) (exp (* 2/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) (* (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) (pow (cos (/ 1/2 K)) 1/3))) * [misc]taylor: Taking taylor expansion of (* (* (exp (* 1/3 (- (log -2) (log J)))) (exp (* 2/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) (* (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) (pow (cos (/ 1/2 K)) 1/3))) in U * [misc]taylor: Taking taylor expansion of (* (exp (* 1/3 (- (log -2) (log J)))) (exp (* 2/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) in U * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log -2) (log J)))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log -2) (log J))) 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 -2) (log J)) in U * [misc]taylor: Taking taylor expansion of (log -2) in U * [misc]taylor: Taking taylor expansion of -2 in U * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (log -2) into (log -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 (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (log -2) (- (log J))) into (- (log -2) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -2) (log J))) into (* 1/3 (- (log -2) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -2) (log J)))) into (exp (* 1/3 (- (log -2) (log J)))) * [misc]taylor: Taking taylor expansion of (exp (* 2/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) in U * [misc]taylor: Taking taylor expansion of (* 2/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) in U * [misc]taylor: Taking taylor expansion of 2/3 in U * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of (- (log (* -2 (cos (/ 1/2 K)))) (log J)) in U * [misc]taylor: Taking taylor expansion of (log (* -2 (cos (/ 1/2 K)))) in U * [misc]taylor: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) 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)) 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]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-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 (log (* -2 (cos (/ 1/2 K)))) into (log (* -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 (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (log (* -2 (cos (/ 1/2 K)))) (- (log J))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 2/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) into (* 2/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into (exp (* 2/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) (pow (cos (/ 1/2 K)) 1/3)) in U * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))) 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 J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))) in U * [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]taylor: Taking taylor expansion of (log (/ 1/2 (* U (cos (/ 1/2 K))))) in U * [misc]taylor: Taking taylor expansion of (/ 1/2 (* U (cos (/ 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 (* U (cos (/ 1/2 K))) 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 (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]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]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 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 0) (* 1 (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]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 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 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 (* 1 0) 1)) (pow J 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 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 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) 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 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 (pow (cos (/ 1/2 K)) 1/3) in U * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) 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 (cos (/ 1/2 K))) 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]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -2) (log J)))) (exp (* 2/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) into (* (exp (* 1/3 (- (log -2) (log J)))) (exp (* 2/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) * [misc]backup-simplify: Simplify (* (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) (pow (cos (/ 1/2 K)) 1/3)) into (* (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) (pow (cos (/ 1/2 K)) 1/3)) * [misc]backup-simplify: Simplify (* (* (exp (* 1/3 (- (log -2) (log J)))) (exp (* 2/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) (* (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) (pow (cos (/ 1/2 K)) 1/3))) into (* (* (exp (* 1/3 (- (log -2) (log J)))) (exp (* 2/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) (* (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) (pow (cos (/ 1/2 K)) 1/3))) * [misc]backup-simplify: Simplify (* (* (exp (* 1/3 (- (log -2) (log J)))) (exp (* 2/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) (* (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) (pow (cos (/ 1/2 K)) 1/3))) into (* (* (exp (* 1/3 (- (log -2) (log J)))) (exp (* 2/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) (* (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) (pow (cos (/ 1/2 K)) 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 (- (+ (* (/ 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 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log -2)) into (- (log -2) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log -2) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -2) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -2) (log J)))) 0) (* 0 (pow (cos (/ 1/2 K)) 1/3))) into 0 * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* -2 (cos (/ 1/2 K))))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (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 (- (+ (* (/ 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* -2 (cos (/ 1/2 K))))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 0) (* 0 (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 2) 0) (* 0 (* (exp (* 1/3 (- (log -2) (log J)))) (pow (cos (/ 1/2 K)) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (* (exp (* 1/3 (- (log -2) (log J)))) (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 2)) (pow (cos (/ 1/2 K)) 1/3)) 0) (* 0 (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ 1/2 K)) 1/3) 0) (* 0 (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -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 (+ (* 1/3 0) (* 0 (- (log -2) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -2) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -2) (log J)))) 0) (* 0 (exp (* 2/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (exp (* 1/3 (- (log -2) (log J)))) (exp (* 2/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) 0) (* 0 (* (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) (pow (cos (/ 1/2 K)) 1/3)))) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) 0) (* 0 (pow (cos (/ 1/2 K)) 1/3))) into 0 * [misc]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 (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -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 (+ (* 1/3 0) (* 0 (- (log -2) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -2) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -2) (log J)))) 0) (* 0 (exp (* 2/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (exp (* 1/3 (- (log -2) (log J)))) (exp (* 2/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) 0) (* 0 (* (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) (pow (cos (/ 1/2 K)) 1/3)))) 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 (* 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 J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) (+ (* (/ (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 (* U (cos (/ 1/2 K)))))))) 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 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (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 (+ (* -2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log -2)) into (- (log -2) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -2) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -2) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -2) (log J)))) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 1/3)))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* -2 (cos (/ 1/2 K))))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (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 (- (+ (* (/ 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* -2 (cos (/ 1/2 K))))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 2) 0) (+ (* 0 0) (* 0 (* (exp (* 1/3 (- (log -2) (log J)))) (pow (cos (/ 1/2 K)) 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (* (exp (* 1/3 (- (log -2) (log J)))) (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 2)) (pow (cos (/ 1/2 K)) 1/3)) 0) (+ (* 0 0) (* 0 (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow J 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow J 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* U 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* U (cos (/ 1/2 K)))) (+ (* (/ 1/2 (* U (cos (/ 1/2 K)))) (/ 0 (* U (cos (/ 1/2 K))))) (* 0 (/ 0 (* U (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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) (+ (* (/ (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 (* U (cos (/ 1/2 K)))))))) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ 1/2 K)) 1/3) 0) (+ (* 0 0) (* 0 (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -2) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -2) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -2) (log J)))) 0) (+ (* 0 0) (* 0 (exp (* 2/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (exp (* 1/3 (- (log -2) (log J)))) (exp (* 2/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) 0) (+ (* 0 0) (* 0 (* (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* U (cos (/ 1/2 K)))))))) 1)) (pow (cos (/ 1/2 K)) 1/3))))) 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 (* (* (exp (* 1/3 (- (log -2) (log (/ 1 J))))) (exp (* 2/3 (- (log (* -2 (cos (/ 1/2 (/ 1 K))))) (log (/ 1 J)))))) (* (sqrt (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (/ 1/2 (/ 1 K)))))) (log (/ 1 U))))) 1)) (pow (cos (/ 1/2 (/ 1 K))) 1/3))) into (* (pow (cos (* 1/2 K)) 1/3) (* (sqrt (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))) 1)) (* (exp (* 1/3 (- (log -2) (log (/ 1 J))))) (exp (* 2/3 (- (log (* -2 (cos (* 1/2 K)))) (log (/ 1 J)))))))) * [misc]approximate: Taking taylor expansion of (* (* (* (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) (* (cbrt (* -2 (/ 1 (- J)))) (cbrt (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 (* (* (* (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) (* (cbrt (* -2 (/ 1 (- J)))) (cbrt (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 (* (* (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) (* (cbrt (* -2 (/ 1 (- J)))) (cbrt (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (* (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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 (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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]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 (log (* 2 (/ (cos (/ -1/2 K)) J))) into (log (* 2 (/ (cos (/ -1/2 K)) J))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 2 (/ (cos (/ -1/2 K)) J)))) into (* 1/3 (log (* 2 (/ (cos (/ -1/2 K)) J)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 2 (/ (cos (/ -1/2 K)) J))))) into (pow (* 2 (/ (cos (/ -1/2 K)) J)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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 (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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]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 (log (* 2 (/ (cos (/ -1/2 K)) J))) into (log (* 2 (/ (cos (/ -1/2 K)) J))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 2 (/ (cos (/ -1/2 K)) J)))) into (* 1/3 (log (* 2 (/ (cos (/ -1/2 K)) J)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 2 (/ (cos (/ -1/2 K)) J))))) into (pow (* 2 (/ (cos (/ -1/2 K)) J)) 1/3) * [misc]taylor: Taking taylor expansion of (* (cbrt (* -2 (/ 1 (- J)))) (cbrt (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (cbrt (* -2 (/ 1 (- J)))) in U * [misc]taylor: Rewrote expression to (pow (* -2 (/ 1 (- J))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* -2 (/ 1 (- J)))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* -2 (/ 1 (- J))))) 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 (* -2 (/ 1 (- J)))) 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]backup-simplify: Simplify (* -2 (/ -1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (log (/ 2 J)) into (log (/ 2 J)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 2 J))) into (* 1/3 (log (/ 2 J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 2 J)))) into (pow (/ 2 J) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (/ 1 (- K)) 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 (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) * [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 (* (* (* (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) (* (cbrt (* -2 (/ 1 (- J)))) (cbrt (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 (* (* (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) (* (cbrt (* -2 (/ 1 (- J)))) (cbrt (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (* (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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 (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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]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 (log (* 2 (/ (cos (/ -1/2 K)) J))) into (log (* 2 (/ (cos (/ -1/2 K)) J))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 2 (/ (cos (/ -1/2 K)) J)))) into (* 1/3 (log (* 2 (/ (cos (/ -1/2 K)) J)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 2 (/ (cos (/ -1/2 K)) J))))) into (pow (* 2 (/ (cos (/ -1/2 K)) J)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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 (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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]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 (log (* 2 (/ (cos (/ -1/2 K)) J))) into (log (* 2 (/ (cos (/ -1/2 K)) J))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 2 (/ (cos (/ -1/2 K)) J)))) into (* 1/3 (log (* 2 (/ (cos (/ -1/2 K)) J)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 2 (/ (cos (/ -1/2 K)) J))))) into (pow (* 2 (/ (cos (/ -1/2 K)) J)) 1/3) * [misc]taylor: Taking taylor expansion of (* (cbrt (* -2 (/ 1 (- J)))) (cbrt (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (cbrt (* -2 (/ 1 (- J)))) in K * [misc]taylor: Rewrote expression to (pow (* -2 (/ 1 (- J))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* -2 (/ 1 (- J)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* -2 (/ 1 (- J))))) 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 (* -2 (/ 1 (- J)))) 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]backup-simplify: Simplify (* -2 (/ -1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (log (/ 2 J)) into (log (/ 2 J)) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 2 J))) into (* 1/3 (log (/ 2 J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 2 J)))) into (pow (/ 2 J) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (/ 1 (- K)) 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 (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) * [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 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) * [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 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) (* (cbrt (* -2 (/ 1 (- J)))) (cbrt (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 (* (* (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) (* (cbrt (* -2 (/ 1 (- J)))) (cbrt (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (* (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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 (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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]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 (log (* 2 (cos (/ -1/2 K)))) into (log (* 2 (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (cos (/ -1/2 K))))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) into (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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 (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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]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 (log (* 2 (cos (/ -1/2 K)))) into (log (* 2 (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (cos (/ -1/2 K))))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) into (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) * [misc]taylor: Taking taylor expansion of (* (cbrt (* -2 (/ 1 (- J)))) (cbrt (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (cbrt (* -2 (/ 1 (- J)))) in J * [misc]taylor: Rewrote expression to (pow (* -2 (/ 1 (- J))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* -2 (/ 1 (- J)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* -2 (/ 1 (- J))))) 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 (* -2 (/ 1 (- J)))) 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]backup-simplify: Simplify (* -2 -1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log 2)) into (- (log 2) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log 2) (log J))) into (* 1/3 (- (log 2) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 2) (log J)))) into (exp (* 1/3 (- (log 2) (log J)))) * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (/ 1 (- K)) 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 (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) * [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 J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))) into (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) into (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))))) into (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1)) into (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 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 (+ (* (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 J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log J) (log (/ 1/2 (* (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 (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) (* (cbrt (* -2 (/ 1 (- J)))) (cbrt (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 (* (* (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) (* (cbrt (* -2 (/ 1 (- J)))) (cbrt (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (* (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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 (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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]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 (log (* 2 (cos (/ -1/2 K)))) into (log (* 2 (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (cos (/ -1/2 K))))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) into (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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 (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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]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 (log (* 2 (cos (/ -1/2 K)))) into (log (* 2 (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (cos (/ -1/2 K))))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) into (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) * [misc]taylor: Taking taylor expansion of (* (cbrt (* -2 (/ 1 (- J)))) (cbrt (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (cbrt (* -2 (/ 1 (- J)))) in J * [misc]taylor: Rewrote expression to (pow (* -2 (/ 1 (- J))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* -2 (/ 1 (- J)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* -2 (/ 1 (- J))))) 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 (* -2 (/ 1 (- J)))) 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]backup-simplify: Simplify (* -2 -1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log 2)) into (- (log 2) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log 2) (log J))) into (* 1/3 (- (log 2) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 2) (log J)))) into (exp (* 1/3 (- (log 2) (log J)))) * [misc]taylor: Taking taylor expansion of (cbrt (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Rewrote expression to (pow (cos (/ (/ 1 (- K)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ (/ 1 (- K)) 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 (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) * [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 J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))) into (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) into (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))))) into (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1)) into (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 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 (+ (* (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 J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log J) (log (/ 1/2 (* (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 (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) into (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 2) (log J)))) (pow (cos (/ -1/2 K)) 1/3)) into (* (exp (* 1/3 (- (log 2) (log J)))) (pow (cos (/ -1/2 K)) 1/3)) * [misc]backup-simplify: Simplify (* (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 2) (* (exp (* 1/3 (- (log 2) (log J)))) (pow (cos (/ -1/2 K)) 1/3))) into (* (* (exp (* 1/3 (- (log 2) (log J)))) (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 2)) (pow (cos (/ -1/2 K)) 1/3)) * [misc]backup-simplify: Simplify (* (* (* (exp (* 1/3 (- (log 2) (log J)))) (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 2)) (pow (cos (/ -1/2 K)) 1/3)) (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1))) into (* (* (exp (* 1/3 (- (log 2) (log J)))) (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 2)) (* (pow (cos (/ -1/2 K)) 1/3) (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1)))) * [misc]taylor: Taking taylor expansion of (* (* (exp (* 1/3 (- (log 2) (log J)))) (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 2)) (* (pow (cos (/ -1/2 K)) 1/3) (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1)))) in K * [misc]taylor: Taking taylor expansion of (* (exp (* 1/3 (- (log 2) (log J)))) (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 2)) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log 2) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log 2) (log J))) 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 2) (log J)) in K * [misc]taylor: Taking taylor expansion of (log 2) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 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 J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (log 2) (- (log J))) into (- (log 2) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log 2) (log J))) into (* 1/3 (- (log 2) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 2) (log J)))) into (exp (* 1/3 (- (log 2) (log J)))) * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (exp (* 1/3 (- (log (* 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 (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) 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 (* 2 (cos (/ -1/2 K)))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (* 2 (cos (/ -1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in K * [misc]taylor: Taking taylor expansion of -1/2 in K * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (* 2 (cos (/ -1/2 K)))) into (log (* 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]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (log (* 2 (cos (/ -1/2 K)))) (- (log J))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) into (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) into (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (* 2 (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into (* 2/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into (exp (* 2/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) * [misc]taylor: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 1/3) (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1))) in K * [misc]taylor: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) 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 (cos (/ -1/2 K))) 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]backup-simplify: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) 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)) U)))) 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)) 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]backup-simplify: Simplify (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))) into (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) into (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) 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)) U)))))) 1) into (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1)) into (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log J) (log (/ 1/2 (* (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 (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 2) (log J)))) (exp (* 2/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) into (* (exp (* 1/3 (- (log 2) (log J)))) (exp (* 2/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) * [misc]backup-simplify: Simplify (* (pow (cos (/ -1/2 K)) 1/3) (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1))) into (* (pow (cos (/ -1/2 K)) 1/3) (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1))) * [misc]backup-simplify: Simplify (* (* (exp (* 1/3 (- (log 2) (log J)))) (exp (* 2/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) (* (pow (cos (/ -1/2 K)) 1/3) (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1)))) into (* (* (exp (* 1/3 (- (log 2) (log J)))) (exp (* 2/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) (* (pow (cos (/ -1/2 K)) 1/3) (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1)))) * [misc]taylor: Taking taylor expansion of (* (* (exp (* 1/3 (- (log 2) (log J)))) (exp (* 2/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) (* (pow (cos (/ -1/2 K)) 1/3) (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1)))) in U * [misc]taylor: Taking taylor expansion of (* (exp (* 1/3 (- (log 2) (log J)))) (exp (* 2/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) in U * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log 2) (log J)))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log 2) (log J))) 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 2) (log J)) in U * [misc]taylor: Taking taylor expansion of (log 2) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (log 2) into (log 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 (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (log 2) (- (log J))) into (- (log 2) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log 2) (log J))) into (* 1/3 (- (log 2) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 2) (log J)))) into (exp (* 1/3 (- (log 2) (log J)))) * [misc]taylor: Taking taylor expansion of (exp (* 2/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) in U * [misc]taylor: Taking taylor expansion of (* 2/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) in U * [misc]taylor: Taking taylor expansion of 2/3 in U * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of (- (log (* 2 (cos (/ -1/2 K)))) (log J)) in U * [misc]taylor: Taking taylor expansion of (log (* 2 (cos (/ -1/2 K)))) in U * [misc]taylor: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) 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)) 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]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-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 (log (* 2 (cos (/ -1/2 K)))) into (log (* 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 (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (log (* 2 (cos (/ -1/2 K)))) (- (log J))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 2/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) into (* 2/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into (exp (* 2/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) * [misc]taylor: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 1/3) (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1))) in U * [misc]taylor: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in U * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) 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 (cos (/ -1/2 K))) 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]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3) * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))) 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 J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) in U * [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]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]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 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 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 (* 1 0) 1)) (pow J 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 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 (+ 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 (* (exp (* 1/3 (- (log 2) (log J)))) (exp (* 2/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) into (* (exp (* 1/3 (- (log 2) (log J)))) (exp (* 2/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) * [misc]backup-simplify: Simplify (* (pow (cos (/ -1/2 K)) 1/3) (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ -1/2 K))))) (log U)))) 1))) into (* (pow (cos (/ -1/2 K)) 1/3) (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ -1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (* (* (exp (* 1/3 (- (log 2) (log J)))) (exp (* 2/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) (* (pow (cos (/ -1/2 K)) 1/3) (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ -1/2 K))))) (log U)))) 1)))) into (* (* (exp (* 1/3 (- (log 2) (log J)))) (exp (* 2/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) (* (pow (cos (/ -1/2 K)) 1/3) (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ -1/2 K))))) (log U)))) 1)))) * [misc]backup-simplify: Simplify (* (* (exp (* 1/3 (- (log 2) (log J)))) (exp (* 2/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) (* (pow (cos (/ -1/2 K)) 1/3) (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ -1/2 K))))) (log U)))) 1)))) into (* (* (exp (* 1/3 (- (log 2) (log J)))) (exp (* 2/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) (* (pow (cos (/ -1/2 K)) 1/3) (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) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (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 (+ (* -2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log 2)) into (- (log 2) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log 2) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 2) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log 2) (log J)))) 0) (* 0 (pow (cos (/ -1/2 K)) 1/3))) into 0 * [misc]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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (cos (/ -1/2 K))))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (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) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (cos (/ -1/2 K))))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 0) (* 0 (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 2) 0) (* 0 (* (exp (* 1/3 (- (log 2) (log J)))) (pow (cos (/ -1/2 K)) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (* (exp (* 1/3 (- (log 2) (log J)))) (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 2)) (pow (cos (/ -1/2 K)) 1/3)) 0) (* 0 (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ -1/2 K)) 1/3) 0) (* 0 (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 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 (+ (* 1/3 0) (* 0 (- (log 2) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 2) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log 2) (log J)))) 0) (* 0 (exp (* 2/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (exp (* 1/3 (- (log 2) (log J)))) (exp (* 2/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) 0) (* 0 (* (pow (cos (/ -1/2 K)) 1/3) (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ -1/2 K)) 1/3) 0) (* 0 (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 (+ (* (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 (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 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 (+ (* 1/3 0) (* 0 (- (log 2) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 2) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log 2) (log J)))) 0) (* 0 (exp (* 2/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (exp (* 1/3 (- (log 2) (log J)))) (exp (* 2/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) 0) (* 0 (* (pow (cos (/ -1/2 K)) 1/3) (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 (- 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 J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) 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)) U)))))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (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 (+ (* -2 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log 2)) into (- (log 2) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log 2) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 2) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log 2) (log J)))) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1/2 K)) 1/3)))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (cos (/ -1/2 K))))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (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) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (cos (/ -1/2 K))))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 2) 0) (+ (* 0 0) (* 0 (* (exp (* 1/3 (- (log 2) (log J)))) (pow (cos (/ -1/2 K)) 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (* (exp (* 1/3 (- (log 2) (log J)))) (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 2)) (pow (cos (/ -1/2 K)) 1/3)) 0) (+ (* 0 0) (* 0 (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow J 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow J 1)))) 2) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) 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)) U)))))) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ -1/2 K)) 1/3) 0) (+ (* 0 0) (* 0 (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log 2) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 2) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log 2) (log J)))) 0) (+ (* 0 0) (* 0 (exp (* 2/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (exp (* 1/3 (- (log 2) (log J)))) (exp (* 2/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) 0) (+ (* 0 0) (* 0 (* (pow (cos (/ -1/2 K)) 1/3) (sqrt (+ (exp (* 2 (+ (log J) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))))) 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 (* (* (exp (* 1/3 (- (log 2) (log (/ 1 (- J)))))) (exp (* 2/3 (- (log (* 2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- J))))))) (* (pow (cos (/ -1/2 (/ 1 (- K)))) 1/3) (sqrt (+ (exp (* 2 (- (+ (log (/ 1 (- J))) (log (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))))) (log (/ 1 (- U)))))) 1)))) into (* (* (exp (* 1/3 (- (log 2) (log (/ -1 J))))) (exp (* 2/3 (- (log (* 2 (cos (* 1/2 K)))) (log (/ -1 J)))))) (* (pow (cos (* 1/2 K)) 1/3) (sqrt (+ (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))) 1)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in (J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in K * [misc]taylor: Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 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 (* (* -2 J) (cos (/ K 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]backup-simplify: Simplify (* -2 J) into (* -2 J) * [misc]backup-simplify: Simplify (* (* -2 J) 1) into (* -2 J) * [misc]backup-simplify: Simplify (log (* -2 J)) into (log (* -2 J)) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 J))) into (* 1/3 (log (* -2 J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 J)))) into (pow (* -2 J) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 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 (* (* -2 J) (cos (/ K 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]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 (log (- (* 2 (cos (* 1/2 K))))) into (log (- (* 2 (cos (* 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) into (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) into (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 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 (* (* -2 J) (cos (/ K 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]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 (log (- (* 2 (cos (* 1/2 K))))) into (log (- (* 2 (cos (* 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) into (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) into (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) 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 J) (log (- (* 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 (- (* 2 (cos (* 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (log -2) into (log -2) * [misc]backup-simplify: Simplify (+ (log J) (log -2)) into (+ (log J) (log -2)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log J) (log -2))) into (* 1/3 (+ (log J) (log -2))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log J) (log -2)))) into (exp (* 1/3 (+ (log J) (log -2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log J) (log -2)))) into (exp (* 1/3 (+ (log J) (log -2)))) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) (+ (* (/ (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) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log J) (log -2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log -2)))) (+ (* (/ (pow 0 1) 1)))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (* 2 (cos (* 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) (+ (* (/ (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 0 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) into 0 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* 2 (- 1/8)) (+ (* 0 0) (* 0 1))) into -1/4 * [misc]backup-simplify: Simplify (- -1/4) into 1/4 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 1/4) 1)) (pow -2 1)))) 2) into -1/8 * [misc]backup-simplify: Simplify (+ 0 -1/8) into -1/8 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 (+ (log J) (log -2))))) into (- 1/24) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log -2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/24) 1) 1)))) into (* -1/24 (exp (* 1/3 (+ (log J) (log -2))))) * [misc]backup-simplify: Simplify (* -1/24 (exp (* 1/3 (+ (log J) (log -2))))) into (* -1/24 (exp (* 1/3 (+ (log J) (log -2))))) * [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 (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (* 2 (cos (* 1/2 K)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow J 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow J 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow J 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- -1/4) into 1/4 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 (- 1/8)) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1/4) 1)) (pow -2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 (+ (log J) (log -2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log -2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 1/24) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -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 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 5) 120)) 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 2) 2)) 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) (* 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 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- (* 2 (cos (* 1/2 K)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- (* 2 (cos (* 1/2 K)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking 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 (+ (* (* -1/24 (exp (* 1/3 (+ (log J) (log -2))))) (pow (* K 1) 2)) (exp (* 1/3 (+ (log J) (log -2))))) into (- (exp (* 1/3 (+ (log J) (log -2)))) (* 1/24 (* (pow K 2) (exp (* 1/3 (+ (log J) (log -2))))))) * [misc]approximate: Taking taylor expansion of (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in (J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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 (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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]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 (log (* -2 (/ (cos (/ 1/2 K)) J))) into (log (* -2 (/ (cos (/ 1/2 K)) J))) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 (/ (cos (/ 1/2 K)) J)))) into (* 1/3 (log (* -2 (/ (cos (/ 1/2 K)) J)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 (/ (cos (/ 1/2 K)) J))))) into (pow (* -2 (/ (cos (/ 1/2 K)) J)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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 (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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]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 (log (* -2 (cos (/ 1/2 K)))) into (log (* -2 (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* -2 (cos (/ 1/2 K))))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) into (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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 (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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]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 (log (* -2 (cos (/ 1/2 K)))) into (log (* -2 (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* -2 (cos (/ 1/2 K))))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) into (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) 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 (* -2 (cos (/ 1/2 K)))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (* -2 (cos (/ 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K * [misc]taylor: Taking taylor expansion of -2 in K * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (* -2 (cos (/ 1/2 K)))) into (log (* -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]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (log (* -2 (cos (/ 1/2 K)))) (- (log J))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) into (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (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 (- (+ (* (/ 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* -2 (cos (/ 1/2 K))))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -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 (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (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 (- (+ (* (/ 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* -2 (cos (/ 1/2 K))))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -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 0 into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 (cos (/ 1/2 K))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* -2 (cos (/ 1/2 K))))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 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 (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 (/ 1 K))))) (log (/ 1 J))))) into (exp (* 1/3 (- (log (* -2 (cos (* 1/2 K)))) (log (/ 1 J))))) * [misc]approximate: Taking taylor expansion of (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in (J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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 (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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]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 (log (* 2 (/ (cos (/ -1/2 K)) J))) into (log (* 2 (/ (cos (/ -1/2 K)) J))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 2 (/ (cos (/ -1/2 K)) J)))) into (* 1/3 (log (* 2 (/ (cos (/ -1/2 K)) J)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 2 (/ (cos (/ -1/2 K)) J))))) into (pow (* 2 (/ (cos (/ -1/2 K)) J)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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 (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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]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 (log (* 2 (cos (/ -1/2 K)))) into (log (* 2 (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (cos (/ -1/2 K))))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) into (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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 (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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]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 (log (* 2 (cos (/ -1/2 K)))) into (log (* 2 (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (cos (/ -1/2 K))))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) into (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) 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 (* 2 (cos (/ -1/2 K)))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (* 2 (cos (/ -1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in K * [misc]taylor: Taking taylor expansion of -1/2 in K * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (* 2 (cos (/ -1/2 K)))) into (log (* 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]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (log (* 2 (cos (/ -1/2 K)))) (- (log J))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) into (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (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) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (cos (/ -1/2 K))))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 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 (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (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) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (cos (/ -1/2 K))))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 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 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (cos (/ -1/2 K))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (cos (/ -1/2 K))))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 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 (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- J)))))) into (exp (* 1/3 (- (log (* 2 (cos (* 1/2 K)))) (log (/ -1 J))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in (J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in K * [misc]taylor: Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 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 (* (* -2 J) (cos (/ K 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]backup-simplify: Simplify (* -2 J) into (* -2 J) * [misc]backup-simplify: Simplify (* (* -2 J) 1) into (* -2 J) * [misc]backup-simplify: Simplify (log (* -2 J)) into (log (* -2 J)) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 J))) into (* 1/3 (log (* -2 J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 J)))) into (pow (* -2 J) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 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 (* (* -2 J) (cos (/ K 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]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 (log (- (* 2 (cos (* 1/2 K))))) into (log (- (* 2 (cos (* 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) into (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) into (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 J) (cos (/ K 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 J) (cos (/ K 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 J) (cos (/ K 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 (* (* -2 J) (cos (/ K 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]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 (log (- (* 2 (cos (* 1/2 K))))) into (log (- (* 2 (cos (* 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) into (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) into (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))) 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 J) (log (- (* 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 (- (* 2 (cos (* 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (log -2) into (log -2) * [misc]backup-simplify: Simplify (+ (log J) (log -2)) into (+ (log J) (log -2)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log J) (log -2))) into (* 1/3 (+ (log J) (log -2))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log J) (log -2)))) into (exp (* 1/3 (+ (log J) (log -2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log J) (log -2)))) into (exp (* 1/3 (+ (log J) (log -2)))) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) (+ (* (/ (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) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log J) (log -2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log -2)))) (+ (* (/ (pow 0 1) 1)))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (* 2 (cos (* 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) (+ (* (/ (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 0 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) into 0 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* 2 (- 1/8)) (+ (* 0 0) (* 0 1))) into -1/4 * [misc]backup-simplify: Simplify (- -1/4) into 1/4 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 1/4) 1)) (pow -2 1)))) 2) into -1/8 * [misc]backup-simplify: Simplify (+ 0 -1/8) into -1/8 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 (+ (log J) (log -2))))) into (- 1/24) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log -2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/24) 1) 1)))) into (* -1/24 (exp (* 1/3 (+ (log J) (log -2))))) * [misc]backup-simplify: Simplify (* -1/24 (exp (* 1/3 (+ (log J) (log -2))))) into (* -1/24 (exp (* 1/3 (+ (log J) (log -2))))) * [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 (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (* 2 (cos (* 1/2 K)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow J 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow J 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow J 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- -1/4) into 1/4 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 (- 1/8)) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1/4) 1)) (pow -2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 (+ (log J) (log -2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log -2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 1/24) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -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 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 5) 120)) 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 2) 2)) 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) (* 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 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- (* 2 (cos (* 1/2 K)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (- (* 2 (cos (* 1/2 K)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (- (* 2 (cos (* 1/2 K)))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (- (* 2 (cos (* 1/2 K)))))) into (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log J) (log (- (* 2 (cos (* 1/2 K))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log J) (log (- (* 2 (cos (* 1/2 K)))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking 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 (+ (* (* -1/24 (exp (* 1/3 (+ (log J) (log -2))))) (pow (* K 1) 2)) (exp (* 1/3 (+ (log J) (log -2))))) into (- (exp (* 1/3 (+ (log J) (log -2)))) (* 1/24 (* (pow K 2) (exp (* 1/3 (+ (log J) (log -2))))))) * [misc]approximate: Taking taylor expansion of (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in (J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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 (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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]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 (log (* -2 (/ (cos (/ 1/2 K)) J))) into (log (* -2 (/ (cos (/ 1/2 K)) J))) * [misc]backup-simplify: Simplify (* 1/3 (log (* -2 (/ (cos (/ 1/2 K)) J)))) into (* 1/3 (log (* -2 (/ (cos (/ 1/2 K)) J)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* -2 (/ (cos (/ 1/2 K)) J))))) into (pow (* -2 (/ (cos (/ 1/2 K)) J)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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 (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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]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 (log (* -2 (cos (/ 1/2 K)))) into (log (* -2 (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* -2 (cos (/ 1/2 K))))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) into (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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 (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 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]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 (log (* -2 (cos (/ 1/2 K)))) into (log (* -2 (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* -2 (cos (/ 1/2 K))))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) into (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) 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 (* -2 (cos (/ 1/2 K)))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (* -2 (cos (/ 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K * [misc]taylor: Taking taylor expansion of -2 in K * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (* -2 (cos (/ 1/2 K)))) into (log (* -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]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (log (* -2 (cos (/ 1/2 K)))) (- (log J))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) into (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (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 (- (+ (* (/ 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* -2 (cos (/ 1/2 K))))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -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 (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (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 (- (+ (* (/ 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* -2 (cos (/ 1/2 K))))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -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 0 into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 (cos (/ 1/2 K))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 (cos (/ 1/2 K))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* -2 (cos (/ 1/2 K))))) into (- (log (* -2 (cos (/ 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 K)))) (log J)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 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 (exp (* 1/3 (- (log (* -2 (cos (/ 1/2 (/ 1 K))))) (log (/ 1 J))))) into (exp (* 1/3 (- (log (* -2 (cos (* 1/2 K)))) (log (/ 1 J))))) * [misc]approximate: Taking taylor expansion of (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in (J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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 (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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]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 (log (* 2 (/ (cos (/ -1/2 K)) J))) into (log (* 2 (/ (cos (/ -1/2 K)) J))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 2 (/ (cos (/ -1/2 K)) J)))) into (* 1/3 (log (* 2 (/ (cos (/ -1/2 K)) J)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 2 (/ (cos (/ -1/2 K)) J))))) into (pow (* 2 (/ (cos (/ -1/2 K)) J)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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 (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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]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 (log (* 2 (cos (/ -1/2 K)))) into (log (* 2 (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (cos (/ -1/2 K))))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) into (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Rewrote expression to (pow (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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 (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 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]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 (log (* 2 (cos (/ -1/2 K)))) into (log (* 2 (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (cos (/ -1/2 K))))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) into (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) 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 (* 2 (cos (/ -1/2 K)))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (* 2 (cos (/ -1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in K * [misc]taylor: Taking taylor expansion of -1/2 in K * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (* 2 (cos (/ -1/2 K)))) into (log (* 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]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (log (* 2 (cos (/ -1/2 K)))) (- (log J))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) into (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (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) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (cos (/ -1/2 K))))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 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 (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (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) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (cos (/ -1/2 K))))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 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 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (cos (/ -1/2 K))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (cos (/ -1/2 K))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 2 (cos (/ -1/2 K))))) into (- (log (* 2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 K)))) (log J)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 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 (exp (* 1/3 (- (log (* 2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- J)))))) into (exp (* 1/3 (- (log (* 2 (cos (* 1/2 K)))) (log (/ -1 J))))) * * * [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 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (326 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (* (fabs (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) (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 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (* (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 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) to (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (* (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 (31 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (* (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 3) (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (/ (sqrt (+ 1 (* (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 3) (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 3)))) (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 (26 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)))) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (/ (sqrt (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)))) (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 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [misc]simplify: Simplified (2 2 1) to (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (fabs (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))) * * * * [misc]progress: [ 14 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * * [misc]simplify: iters left: 2 (499 enodes) * [exit]simplify: Simplified to (* (* (cbrt (* (cos (/ K 2)) (* -2 J))) (* (* (cbrt (* -2 J)) (cbrt (cos (/ K 2)))) (cbrt (* (cos (/ K 2)) (* -2 J))))) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) * [misc]simplify: Simplified (2 1) to (λ (J K U) (pow (* (* (cbrt (* (cos (/ K 2)) (* -2 J))) (* (* (cbrt (* -2 J)) (cbrt (cos (/ K 2)))) (cbrt (* (cos (/ K 2)) (* -2 J))))) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 1)) * * * * [misc]progress: [ 16 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * * [misc]simplify: iters left: 2 (499 enodes) * [exit]simplify: Simplified to (* (* (cbrt (* (cos (/ K 2)) (* -2 J))) (* (* (cbrt (* -2 J)) (cbrt (cos (/ K 2)))) (cbrt (* (cos (/ K 2)) (* -2 J))))) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) * [misc]simplify: Simplified (2 1) to (λ (J K U) (pow (* (* (cbrt (* (cos (/ K 2)) (* -2 J))) (* (* (cbrt (* -2 J)) (cbrt (cos (/ K 2)))) (cbrt (* (cos (/ K 2)) (* -2 J))))) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 1)) * * * * [misc]progress: [ 17 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * * [misc]simplify: iters left: 2 (499 enodes) * [exit]simplify: Simplified to (* (* (cbrt (* (cos (/ K 2)) (* -2 J))) (* (* (cbrt (* -2 J)) (cbrt (cos (/ K 2)))) (cbrt (* (cos (/ K 2)) (* -2 J))))) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) * [misc]simplify: Simplified (2 1) to (λ (J K U) (pow (* (* (cbrt (* (cos (/ K 2)) (* -2 J))) (* (* (cbrt (* -2 J)) (cbrt (cos (/ K 2)))) (cbrt (* (cos (/ K 2)) (* -2 J))))) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 1)) * * * * [misc]progress: [ 18 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * * [misc]simplify: iters left: 2 (499 enodes) * [exit]simplify: Simplified to (* (* (cbrt (* (cos (/ K 2)) (* -2 J))) (* (* (cbrt (* -2 J)) (cbrt (cos (/ K 2)))) (cbrt (* (cos (/ K 2)) (* -2 J))))) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) * [misc]simplify: Simplified (2 1) to (λ (J K U) (pow (* (* (cbrt (* (cos (/ K 2)) (* -2 J))) (* (* (cbrt (* -2 J)) (cbrt (cos (/ K 2)))) (cbrt (* (cos (/ K 2)) (* -2 J))))) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 1)) * * * * [misc]progress: [ 19 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * * [misc]simplify: iters left: 2 (499 enodes) * [exit]simplify: Simplified to (* (* (cbrt (* (cos (/ K 2)) (* -2 J))) (* (* (cbrt (* -2 J)) (cbrt (cos (/ K 2)))) (cbrt (* (cos (/ K 2)) (* -2 J))))) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) * [misc]simplify: Simplified (2 1) to (λ (J K U) (pow (* (* (cbrt (* (cos (/ K 2)) (* -2 J))) (* (* (cbrt (* -2 J)) (cbrt (cos (/ K 2)))) (cbrt (* (cos (/ K 2)) (* -2 J))))) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) 1)) * * * * [misc]progress: [ 20 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (+ (log (cbrt (* (* -2 J) (cos (/ K 2))))) (log (cbrt (* (* -2 J) (cos (/ K 2)))))) (+ (log (cbrt (* -2 J))) (log (cbrt (cos (/ K 2)))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (215 enodes) * [exit]simplify: Simplified to (+ (+ (+ (log (cbrt (* (cos (/ K 2)) (* -2 J)))) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (* -2 J))))) (log (cbrt (* (cos (/ K 2)) (* -2 J))))) (log (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 (cbrt (* (cos (/ K 2)) (* -2 J)))) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (* -2 J))))) (log (cbrt (* (cos (/ K 2)) (* -2 J))))) (log (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))))))) * * * * [misc]progress: [ 22 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (+ (log (cbrt (* (* -2 J) (cos (/ K 2))))) (log (cbrt (* (* -2 J) (cos (/ K 2)))))) (log (* (cbrt (* -2 J)) (cbrt (cos (/ K 2)))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (493 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (+ (+ (log (cbrt (* (cos (/ K 2)) (* -2 J)))) (log (cbrt (* (cos (/ K 2)) (* -2 J))))) (log (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))))) * [misc]simplify: Simplified (2 1) to (λ (J K U) (exp (+ (log (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (+ (+ (log (cbrt (* (cos (/ K 2)) (* -2 J)))) (log (cbrt (* (cos (/ K 2)) (* -2 J))))) (log (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))))))) * * * * [misc]progress: [ 23 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2)))))) (+ (log (cbrt (* -2 J))) (log (cbrt (cos (/ K 2)))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * [exit]simplify: Simplified to (+ (+ (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (* -2 J)))) (log (cbrt (* (cos (/ K 2)) (* -2 J))))) (log (cbrt (* (cos (/ K 2)) (* -2 J))))) (log (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) * [misc]simplify: Simplified (2 1) to (λ (J K U) (exp (+ (+ (+ (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (* -2 J)))) (log (cbrt (* (cos (/ K 2)) (* -2 J))))) (log (cbrt (* (cos (/ K 2)) (* -2 J))))) (log (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))))) * * * * [misc]progress: [ 24 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2)))))) (log (* (cbrt (* -2 J)) (cbrt (cos (/ K 2)))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * * [misc]simplify: iters left: 2 (484 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (+ (log (* (cbrt (* (cos (/ K 2)) (* -2 J))) (cbrt (* (cos (/ K 2)) (* -2 J))))) (log (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))))) * [misc]simplify: Simplified (2 1) to (λ (J K U) (exp (+ (log (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (+ (log (* (cbrt (* (cos (/ K 2)) (* -2 J))) (cbrt (* (cos (/ K 2)) (* -2 J))))) (log (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))))))) * * * * [misc]progress: [ 25 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2)))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (log (* (* (cbrt (cos (/ K 2))) (cbrt (* (cos (/ K 2)) (* -2 J)))) (* (cbrt (* (cos (/ K 2)) (* -2 J))) (cbrt (* -2 J)))))) * [misc]simplify: Simplified (2 1) to (λ (J K U) (exp (+ (log (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (log (* (* (cbrt (cos (/ K 2))) (cbrt (* (cos (/ K 2)) (* -2 J)))) (* (cbrt (* (cos (/ K 2)) (* -2 J))) (cbrt (* -2 J)))))))) * * * * [misc]progress: [ 26 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* -2 J) (cos (/ K 2))) (* (* -2 J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (+ (* (pow (* (cos (/ K 2)) (* -2 J)) 3) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (pow (* (cos (/ K 2)) (* -2 J)) 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)) (* -2 J)) 3) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (pow (* (cos (/ K 2)) (* -2 J)) 3))))) * * * * [misc]progress: [ 29 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* -2 J) (cos (/ K 2))) (* (* -2 J) (cos (/ K 2)))) (* (* (* (cbrt (* -2 J)) (cbrt (cos (/ K 2)))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (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 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * [exit]simplify: Simplified to (* (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (cbrt (* -2 J)) (cbrt (cos (/ K 2)))) (* (* (cbrt (* -2 J)) (cbrt (cos (/ K 2)))) (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J)))))) (* (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2)))))) * [misc]simplify: Simplified (2 1) to (λ (J K U) (cbrt (* (* (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (* (* (cbrt (* -2 J)) (cbrt (cos (/ K 2)))) (* (* (cbrt (* -2 J)) (cbrt (cos (/ K 2)))) (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J)))))) (* (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2)))))))) * * * * [misc]progress: [ 30 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2)))))) (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -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 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 1)) (* (* (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J))) (* (cos (/ K 2)) (* -2 J))) (+ (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 1))) * [misc]simplify: Simplified (2 1) to (λ (J K U) (cbrt (* (sqrt (+ (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 1)) (* (* (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J))) (* (cos (/ K 2)) (* -2 J))) (+ (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 1))))) * * * * [misc]progress: [ 31 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2)))))) (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2)))))) (* (* (* (cbrt (* -2 J)) (cbrt (cos (/ K 2)))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (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 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * [exit]simplify: Simplified to (* (* (* (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (* (cbrt (cos (/ K 2))) (cbrt (* -2 J)))) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J))) (* (* (cbrt (cos (/ K 2))) (cbrt (* -2 J))) (* (cbrt (cos (/ K 2))) (cbrt (* -2 J)))))) * [misc]simplify: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (* (cbrt (cos (/ K 2))) (cbrt (* -2 J)))) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* (* (cos (/ K 2)) (* -2 J)) (* (cos (/ K 2)) (* -2 J))) (* (* (cbrt (cos (/ K 2))) (cbrt (* -2 J))) (* (cbrt (cos (/ K 2))) (cbrt (* -2 J)))))))) * * * * [misc]progress: [ 32 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2)))))) (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (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 (27 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * [exit]simplify: Simplified to (* (* (* (* (cbrt (* (cos (/ K 2)) (* -2 J))) (cbrt (* (cos (/ K 2)) (* -2 J)))) (* (* (cbrt (* -2 J)) (cbrt (cos (/ K 2)))) (cbrt (* (cos (/ K 2)) (* -2 J))))) (* (* (cbrt (* (cos (/ K 2)) (* -2 J))) (cbrt (* (cos (/ K 2)) (* -2 J)))) (* (* (cbrt (* -2 J)) (cbrt (cos (/ K 2)))) (cbrt (* (cos (/ K 2)) (* -2 J)))))) (* (* (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [misc]simplify: Simplified (2 1) to (λ (J K U) (cbrt (* (* (* (* (cbrt (* (cos (/ K 2)) (* -2 J))) (cbrt (* (cos (/ K 2)) (* -2 J)))) (* (* (cbrt (* -2 J)) (cbrt (cos (/ K 2)))) (cbrt (* (cos (/ K 2)) (* -2 J))))) (* (* (cbrt (* (cos (/ K 2)) (* -2 J))) (cbrt (* (cos (/ K 2)) (* -2 J)))) (* (* (cbrt (* -2 J)) (cbrt (cos (/ K 2)))) (cbrt (* (cos (/ K 2)) (* -2 J)))))) (* (* (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))))) * * * * [misc]progress: [ 33 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 76 ] 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 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (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)))))) (cbrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))) * * * * [misc]progress: [ 38 / 76 ] 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 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (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 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))) * * * * [misc]progress: [ 39 / 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 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))) * * * * [misc]progress: [ 40 / 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 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (sqrt 1)) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) * * * * [misc]progress: [ 41 / 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 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))) * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2))))))))) * * * * [misc]progress: [ 42 / 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 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) 1) (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))))) * * * * [misc]progress: [ 43 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (cbrt (* (cos (/ K 2)) (* -2 J))) (cbrt (* (cos (/ K 2)) (* -2 J)))) * [misc]simplify: Simplified (2 1) to (λ (J K U) (* (* (cbrt (* (cos (/ K 2)) (* -2 J))) (cbrt (* (cos (/ K 2)) (* -2 J)))) (* (* (cbrt (* -2 J)) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]progress: [ 44 / 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)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (333 enodes) * [exit]simplify: Simplified to (sqrt (- (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)) (- (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * [misc]simplify: Simplified (2 2) to (λ (J K U) (/ (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) (sqrt (- (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)) (- (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))) * * * * [misc]progress: [ 45 / 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 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (484 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))) * [misc]simplify: Simplified (2 2) to (λ (J K U) (/ (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (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 J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 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 # * [enter]simplify: Simplifying (cbrt (* -2 J)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (* -2 J)) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * * * [misc]progress: [ 52 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* -2 J)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (* -2 J)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (J K U) (* (* (* (* (cbrt (* -2 J)) (cbrt (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * * * [misc]progress: [ 61 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (213 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (* (* (/ 1/2 J) U) (* (/ 1/2 J) U)))) * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (* (/ 1/2 J) U) (* (/ 1/2 J) U)))))) * * * * [misc]progress: [ 66 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))) 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (* (* (* U (/ 1 J)) (/ 1/2 (cos (* 1/2 K)))) (* (* U (/ 1 J)) (/ 1/2 (cos (* 1/2 K))))))) * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (* (* U (/ 1 J)) (/ 1/2 (cos (* 1/2 K)))) (* (* U (/ 1 J)) (/ 1/2 (cos (* 1/2 K))))))))) * * * * [misc]progress: [ 67 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))) 1)) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (/ 1/2 (cos (* 1/2 K))) (/ (/ -1 J) (/ -1 U))) (* (/ 1/2 (cos (* 1/2 K))) (/ (/ -1 J) (/ -1 U)))) 1)) * [misc]simplify: Simplified (2 2) to (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (sqrt (+ (* (* (/ 1/2 (cos (* 1/2 K))) (/ (/ -1 J) (/ -1 U))) (* (/ 1/2 (cos (* 1/2 K))) (/ (/ -1 J) (/ -1 U)))) 1)))) * * * * [misc]progress: [ 68 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/8 (* (* (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) (* (pow K 2) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2))))))) (sqrt (/ 1 (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1))))) (* (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1)) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2))))))) (* 1/8 (* (* (pow K 2) (* (exp (* 1/3 (+ (log J) (log -2)))) (exp (* 2/3 (+ (log J) (log -2)))))) (sqrt (+ (exp (* 2 (- (+ (log 1/2) (log U)) (log J)))) 1))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (253 enodes) * [exit]simplify: Simplified to (+ (* (sqrt (/ 1 (+ 1 (pow (exp 2) (+ (log 1/2) (- (log U) (log J))))))) (* (* (* (pow J 2/3) (* (pow -2 2/3) (* K K))) (* (* (pow J 1/3) (pow -2 1/3)) 1/8)) (pow (exp 2) (+ (log 1/2) (- (log U) (log J)))))) (* (* (* (pow J 2/3) (pow -2 2/3)) (- (* (pow J 1/3) (pow -2 1/3)) (* (* (* K K) 1/8) (* (pow J 1/3) (pow -2 1/3))))) (sqrt (+ 1 (pow (exp 2) (+ (log 1/2) (- (log U) (log J)))))))) * [misc]simplify: Simplified (2) to (λ (J K U) (+ (* (sqrt (/ 1 (+ 1 (pow (exp 2) (+ (log 1/2) (- (log U) (log J))))))) (* (* (* (pow J 2/3) (* (pow -2 2/3) (* K K))) (* (* (pow J 1/3) (pow -2 1/3)) 1/8)) (pow (exp 2) (+ (log 1/2) (- (log U) (log J)))))) (* (* (* (pow J 2/3) (pow -2 2/3)) (- (* (pow J 1/3) (pow -2 1/3)) (* (* (* K K) 1/8) (* (pow J 1/3) (pow -2 1/3))))) (sqrt (+ 1 (pow (exp 2) (+ (log 1/2) (- (log U) (log J))))))))) * * * * [misc]progress: [ 69 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow (cos (* 1/2 K)) 1/3) (* (sqrt (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))) 1)) (* (exp (* 1/3 (- (log -2) (log (/ 1 J))))) (exp (* 2/3 (- (log (* -2 (cos (* 1/2 K)))) (log (/ 1 J)))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (439 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* (* (* U (/ 1 J)) (/ 1/2 (cos (* 1/2 K)))) (* (* U (/ 1 J)) (/ 1/2 (cos (* 1/2 K))))))) (* (* (* (pow J 1/3) (pow -2 1/3)) (cbrt (cos (* 1/2 K)))) (* (pow (* (cos (* 1/2 K)) -2) 2/3) (pow J 2/3)))) * [misc]simplify: Simplified (2) to (λ (J K U) (* (sqrt (+ 1 (* (* (* U (/ 1 J)) (/ 1/2 (cos (* 1/2 K)))) (* (* U (/ 1 J)) (/ 1/2 (cos (* 1/2 K))))))) (* (* (* (pow J 1/3) (pow -2 1/3)) (cbrt (cos (* 1/2 K)))) (* (pow (* (cos (* 1/2 K)) -2) 2/3) (pow J 2/3))))) * * * * [misc]progress: [ 70 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (exp (* 1/3 (- (log 2) (log (/ -1 J))))) (exp (* 2/3 (- (log (* 2 (cos (* 1/2 K)))) (log (/ -1 J)))))) (* (pow (cos (* 1/2 K)) 1/3) (sqrt (+ (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))) 1)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (449 enodes) * [exit]simplify: Simplified to (* (* (* (cbrt (cos (* 1/2 K))) (pow (exp 1/3) (- (log 2) (log (/ -1 J))))) (* (pow (* 2 (cos (* 1/2 K))) 2/3) (exp (* (log (/ -1 J)) (- 2/3))))) (sqrt (+ (* (* (/ (/ -1 J) (/ -1 U)) (/ 1/2 (cos (* 1/2 K)))) (* (/ (/ -1 J) (/ -1 U)) (/ 1/2 (cos (* 1/2 K))))) 1))) * [misc]simplify: Simplified (2) to (λ (J K U) (* (* (* (cbrt (cos (* 1/2 K))) (pow (exp 1/3) (- (log 2) (log (/ -1 J))))) (* (pow (* 2 (cos (* 1/2 K))) 2/3) (exp (* (log (/ -1 J)) (- 2/3))))) (sqrt (+ (* (* (/ (/ -1 J) (/ -1 U)) (/ 1/2 (cos (* 1/2 K)))) (* (/ (/ -1 J) (/ -1 U)) (/ 1/2 (cos (* 1/2 K))))) 1)))) * * * * [misc]progress: [ 71 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* 1/3 (+ (log J) (log -2)))) (* 1/24 (* (pow K 2) (exp (* 1/3 (+ (log J) (log -2))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (321 enodes) * [exit]simplify: Simplified to (- (cbrt (* -2 J)) (* (* K (* K 1/24)) (cbrt (* -2 J)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (- (cbrt (* -2 J)) (* (* K (* K 1/24)) (cbrt (* -2 J))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * * * [misc]progress: [ 72 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log (* -2 (cos (* 1/2 K)))) (log (/ 1 J))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * [exit]simplify: Simplified to (* (pow (cos (* 1/2 K)) 1/3) (* (pow -2 1/3) (cbrt J))) * [misc]simplify: Simplified (2 1 1 2) to (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (* (pow (cos (* 1/2 K)) 1/3) (* (pow -2 1/3) (cbrt J)))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * * * [misc]progress: [ 73 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log (* 2 (cos (* 1/2 K)))) (log (/ -1 J))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (232 enodes) * [exit]simplify: Simplified to (* (* (pow (/ -1 J) (- 1/3)) (pow 2 1/3)) (pow (cos (* 1/2 K)) 1/3)) * [misc]simplify: Simplified (2 1 1 2) to (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (* (* (pow (/ -1 J) (- 1/3)) (pow 2 1/3)) (pow (cos (* 1/2 K)) 1/3))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * * * [misc]progress: [ 74 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* 1/3 (+ (log J) (log -2)))) (* 1/24 (* (pow K 2) (exp (* 1/3 (+ (log J) (log -2))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (321 enodes) * [exit]simplify: Simplified to (- (cbrt (* -2 J)) (* (* K (* K 1/24)) (cbrt (* -2 J)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (J K U) (* (* (* (- (cbrt (* -2 J)) (* (* K (* K 1/24)) (cbrt (* -2 J)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * * * [misc]progress: [ 75 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log (* -2 (cos (* 1/2 K)))) (log (/ 1 J))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * [exit]simplify: Simplified to (* (pow (cos (* 1/2 K)) 1/3) (* (pow -2 1/3) (cbrt J))) * [misc]simplify: Simplified (2 1 1 1) to (λ (J K U) (* (* (* (* (pow (cos (* 1/2 K)) 1/3) (* (pow -2 1/3) (cbrt J))) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * * * [misc]progress: [ 76 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log (* 2 (cos (* 1/2 K)))) (log (/ -1 J))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (232 enodes) * [exit]simplify: Simplified to (* (* (pow (/ -1 J) (- 1/3)) (pow 2 1/3)) (pow (cos (* 1/2 K)) 1/3)) * [misc]simplify: Simplified (2 1 1 1) to (λ (J K U) (* (* (* (* (* (pow (/ -1 J) (- 1/3)) (pow 2 1/3)) (pow (cos (* 1/2 K)) 1/3)) (cbrt (* (* -2 J) (cos (/ K 2))))) (* (cbrt (* -2 J)) (cbrt (cos (/ K 2))))) (sqrt (+ 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 (* (sqrt (+ (pow (/ U (* (* J 2) (cos (/ K 2)))) 2) 1)) (* (cos (/ K 2)) (* -2 J))) * * * * [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